TSTP Solution File: SWC343+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC343+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:43:16 EDT 2022
% Result : Theorem 45.91s 6.19s
% Output : Refutation 45.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 425
% Syntax : Number of formulae : 1588 ( 54 unt; 0 def)
% Number of atoms : 5826 (1366 equ)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 7339 (3101 ~;3347 |; 391 &)
% ( 378 <=>; 122 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 381 ( 379 usr; 368 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-2 aty)
% Number of variables : 877 ( 716 !; 161 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4569,plain,
$false,
inference(avatar_smt_refutation,[],[f608,f612,f617,f622,f627,f631,f635,f640,f641,f645,f649,f654,f655,f660,f665,f670,f675,f680,f685,f690,f695,f696,f697,f698,f703,f704,f705,f711,f712,f716,f717,f722,f723,f728,f735,f742,f756,f760,f771,f776,f781,f786,f791,f798,f814,f819,f824,f829,f840,f845,f901,f910,f915,f920,f970,f976,f979,f992,f1005,f1010,f1015,f1020,f1025,f1063,f1068,f1075,f1077,f1082,f1088,f1093,f1098,f1103,f1111,f1116,f1118,f1123,f1128,f1133,f1138,f1148,f1185,f1196,f1202,f1227,f1281,f1285,f1294,f1299,f1308,f1314,f1339,f1343,f1347,f1348,f1349,f1350,f1372,f1373,f1377,f1379,f1420,f1425,f1436,f1438,f1450,f1451,f1462,f1464,f1475,f1477,f1479,f1484,f1486,f1490,f1491,f1501,f1506,f1511,f1527,f1537,f1541,f1542,f1556,f1562,f1567,f1605,f1609,f1613,f1617,f1618,f1619,f1620,f1622,f1634,f1636,f1637,f1638,f1648,f1708,f1713,f1714,f1720,f1726,f1732,f1737,f1738,f1744,f1749,f1751,f1756,f1762,f1771,f1775,f1780,f1785,f1790,f1792,f1793,f1798,f1806,f1808,f1809,f1861,f1867,f1869,f1880,f1885,f1902,f1912,f1951,f1971,f1976,f1981,f1985,f2005,f2006,f2014,f2020,f2021,f2022,f2024,f2025,f2026,f2027,f2028,f2029,f2031,f2032,f2045,f2052,f2061,f2075,f2216,f2221,f2222,f2227,f2289,f2293,f2298,f2302,f2306,f2307,f2311,f2312,f2317,f2340,f2344,f2357,f2361,f2366,f2367,f2372,f2373,f2377,f2383,f2385,f2392,f2409,f2414,f2419,f2421,f2437,f2442,f2464,f2471,f2476,f2487,f2497,f2502,f2507,f2513,f2535,f2629,f2642,f2651,f2656,f2671,f2676,f2685,f2726,f2731,f2736,f2741,f2746,f2752,f2757,f2762,f2767,f2769,f2774,f2788,f2797,f2802,f2808,f2834,f2856,f2857,f2858,f2859,f2860,f2861,f2862,f2863,f2864,f2865,f2866,f2881,f2886,f2891,f2906,f2911,f2916,f2921,f2933,f2938,f2943,f2953,f2958,f2963,f2973,f2978,f2983,f2992,f2999,f3005,f3012,f3013,f3021,f3031,f3036,f3041,f3051,f3056,f3061,f3121,f3126,f3131,f3136,f3141,f3146,f3151,f3156,f3161,f3166,f3171,f3200,f3205,f3210,f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3278,f3283,f3288,f3293,f3299,f3304,f3309,f3314,f3319,f3347,f3352,f3357,f3362,f3368,f3373,f3388,f3392,f3397,f3401,f3404,f3432,f3437,f3442,f3447,f3453,f3458,f3506,f3515,f3530,f3598,f3612,f3616,f3679,f3680,f3692,f3693,f3787,f3796,f3805,f3813,f3821,f3837,f3846,f3855,f3864,f3869,f3877,f3893,f3902,f3911,f3919,f3929,f3935,f3965,f3969,f3973,f3977,f3982,f3986,f4020,f4029,f4038,f4047,f4056,f4065,f4073,f4083,f4281,f4287,f4291,f4295,f4371,f4372,f4376,f4377,f4378,f4379,f4412,f4417,f4421,f4425,f4430,f4435,f4440,f4449,f4454,f4496,f4505,f4510,f4516,f4522,f4527,f4532,f4537,f4541,f4557,f4568]) ).
fof(f4568,plain,
( ~ spl56_14
| ~ spl56_10
| ~ spl56_24
| spl56_367 ),
inference(avatar_split_clause,[],[f4567,f4554,f714,f637,f657]) ).
fof(f657,plain,
( spl56_14
<=> ssList(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_14])]) ).
fof(f637,plain,
( spl56_10
<=> sK40 = app(sK39,sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_10])]) ).
fof(f714,plain,
( spl56_24
<=> ! [X4] :
( sK40 != app(sK39,X4)
| ~ ssList(X4)
| lt(sK45(X4),sK43(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_24])]) ).
fof(f4554,plain,
( spl56_367
<=> lt(sK45(sK47),sK43(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_367])]) ).
fof(f4567,plain,
( ~ ssList(sK47)
| ~ spl56_10
| ~ spl56_24
| spl56_367 ),
inference(trivial_inequality_removal,[],[f4566]) ).
fof(f4566,plain,
( sK40 != sK40
| ~ ssList(sK47)
| ~ spl56_10
| ~ spl56_24
| spl56_367 ),
inference(forward_demodulation,[],[f4565,f639]) ).
fof(f639,plain,
( sK40 = app(sK39,sK47)
| ~ spl56_10 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f4565,plain,
( sK40 != app(sK39,sK47)
| ~ ssList(sK47)
| ~ spl56_24
| spl56_367 ),
inference(resolution,[],[f4556,f715]) ).
fof(f715,plain,
( ! [X4] :
( lt(sK45(X4),sK43(X4))
| sK40 != app(sK39,X4)
| ~ ssList(X4) )
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f4556,plain,
( ~ lt(sK45(sK47),sK43(sK47))
| spl56_367 ),
inference(avatar_component_clause,[],[f4554]) ).
fof(f4557,plain,
( ~ spl56_79
| ~ spl56_367
| ~ spl56_80
| ~ spl56_27
| ~ spl56_31 ),
inference(avatar_split_clause,[],[f4552,f754,f732,f1275,f4554,f1271]) ).
fof(f1271,plain,
( spl56_79
<=> ssList(sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_79])]) ).
fof(f1275,plain,
( spl56_80
<=> ssItem(sK45(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_80])]) ).
fof(f732,plain,
( spl56_27
<=> app(sK46(sK47),cons(sK45(sK47),nil)) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_27])]) ).
fof(f754,plain,
( spl56_31
<=> ! [X0,X1] :
( ~ lt(X1,sK43(sK47))
| ~ ssItem(X1)
| ~ ssList(X0)
| app(X0,cons(X1,nil)) != sK39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_31])]) ).
fof(f4552,plain,
( ~ ssItem(sK45(sK47))
| ~ lt(sK45(sK47),sK43(sK47))
| ~ ssList(sK46(sK47))
| ~ spl56_27
| ~ spl56_31 ),
inference(trivial_inequality_removal,[],[f4542]) ).
fof(f4542,plain,
( sK39 != sK39
| ~ ssList(sK46(sK47))
| ~ lt(sK45(sK47),sK43(sK47))
| ~ ssItem(sK45(sK47))
| ~ spl56_27
| ~ spl56_31 ),
inference(superposition,[],[f755,f734]) ).
fof(f734,plain,
( app(sK46(sK47),cons(sK45(sK47),nil)) = sK39
| ~ spl56_27 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f755,plain,
( ! [X0,X1] :
( app(X0,cons(X1,nil)) != sK39
| ~ lt(X1,sK43(sK47))
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl56_31 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f4541,plain,
( spl56_105
| spl56_366
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4480,f1336,f4539,f1549]) ).
fof(f1549,plain,
( spl56_105
<=> nil = cons(sK45(sK47),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_105])]) ).
fof(f4539,plain,
( spl56_366
<=> ! [X6] :
( cons(sK29(cons(sK45(sK47),nil)),X6) = app(cons(sK29(cons(sK45(sK47),nil)),nil),X6)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_366])]) ).
fof(f1336,plain,
( spl56_87
<=> ssList(cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_87])]) ).
fof(f4480,plain,
( ! [X6] :
( cons(sK29(cons(sK45(sK47),nil)),X6) = app(cons(sK29(cons(sK45(sK47),nil)),nil),X6)
| ~ ssList(X6)
| nil = cons(sK45(sK47),nil) )
| ~ spl56_87 ),
inference(resolution,[],[f1337,f949]) ).
fof(f949,plain,
! [X6,X7] :
( ~ ssList(X7)
| ~ ssList(X6)
| nil = X7
| cons(sK29(X7),X6) = app(cons(sK29(X7),nil),X6) ),
inference(resolution,[],[f384,f411]) ).
fof(f411,plain,
! [X0] :
( ssItem(sK29(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( ssList(sK28(X0))
& ssItem(sK29(X0))
& cons(sK29(X0),sK28(X0)) = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f220,f275,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
=> ( ssList(sK28(X0))
& ? [X2] :
( ssItem(X2)
& cons(X2,sK28(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK28(X0)) = X0 )
=> ( ssItem(sK29(X0))
& cons(sK29(X0),sK28(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f384,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),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/benchmark/theBenchmark.p',ax81) ).
fof(f1337,plain,
( ssList(cons(sK45(sK47),nil))
| ~ spl56_87 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f4537,plain,
( spl56_365
| ~ spl56_19
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4476,f1336,f682,f4534]) ).
fof(f4534,plain,
( spl56_365
<=> app(cons(sK9,nil),cons(sK45(sK47),nil)) = cons(sK9,cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_365])]) ).
fof(f682,plain,
( spl56_19
<=> ssItem(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_19])]) ).
fof(f4476,plain,
( app(cons(sK9,nil),cons(sK45(sK47),nil)) = cons(sK9,cons(sK45(sK47),nil))
| ~ spl56_19
| ~ spl56_87 ),
inference(resolution,[],[f1337,f945]) ).
fof(f945,plain,
( ! [X0] :
( ~ ssList(X0)
| app(cons(sK9,nil),X0) = cons(sK9,X0) )
| ~ spl56_19 ),
inference(resolution,[],[f384,f684]) ).
fof(f684,plain,
( ssItem(sK9)
| ~ spl56_19 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f4532,plain,
( spl56_105
| spl56_364
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4474,f1336,f4529,f1549]) ).
fof(f4529,plain,
( spl56_364
<=> sK28(cons(sK45(sK47),nil)) = app(nil,sK28(cons(sK45(sK47),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_364])]) ).
fof(f4474,plain,
( sK28(cons(sK45(sK47),nil)) = app(nil,sK28(cons(sK45(sK47),nil)))
| nil = cons(sK45(sK47),nil)
| ~ spl56_87 ),
inference(resolution,[],[f1337,f847]) ).
fof(f847,plain,
! [X1] :
( ~ ssList(X1)
| app(nil,sK28(X1)) = sK28(X1)
| nil = X1 ),
inference(resolution,[],[f412,f375]) ).
fof(f375,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,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/benchmark/theBenchmark.p',ax28) ).
fof(f412,plain,
! [X0] :
( ssList(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f4527,plain,
( spl56_363
| spl56_105
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4472,f1336,f1549,f4524]) ).
fof(f4524,plain,
( spl56_363
<=> cons(hd(cons(sK45(sK47),nil)),tl(cons(sK45(sK47),nil))) = cons(sK45(sK47),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_363])]) ).
fof(f4472,plain,
( nil = cons(sK45(sK47),nil)
| cons(hd(cons(sK45(sK47),nil)),tl(cons(sK45(sK47),nil))) = cons(sK45(sK47),nil)
| ~ spl56_87 ),
inference(resolution,[],[f1337,f508]) ).
fof(f508,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(flattening,[],[f180]) ).
fof(f180,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/benchmark/theBenchmark.p',ax78) ).
fof(f4522,plain,
( spl56_105
| spl56_362
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4469,f1336,f4519,f1549]) ).
fof(f4519,plain,
( spl56_362
<=> hd(cons(sK45(sK47),nil)) = sK35(cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_362])]) ).
fof(f4469,plain,
( hd(cons(sK45(sK47),nil)) = sK35(cons(sK45(sK47),nil))
| nil = cons(sK45(sK47),nil)
| ~ spl56_87 ),
inference(resolution,[],[f1337,f429]) ).
fof(f429,plain,
! [X0] :
( ~ ssList(X0)
| hd(X0) = sK35(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ~ ssList(X0)
| ( hd(X0) = sK35(X0)
& ssItem(sK35(X0)) )
| nil = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f216,f287]) ).
fof(f287,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK35(X0)
& ssItem(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0 ),
inference(flattening,[],[f215]) ).
fof(f215,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/benchmark/theBenchmark.p',ax75) ).
fof(f4516,plain,
( spl56_361
| ~ spl56_25
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4477,f1336,f719,f4513]) ).
fof(f4513,plain,
( spl56_361
<=> app(cons(sK10,nil),cons(sK45(sK47),nil)) = cons(sK10,cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_361])]) ).
fof(f719,plain,
( spl56_25
<=> ssItem(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_25])]) ).
fof(f4477,plain,
( app(cons(sK10,nil),cons(sK45(sK47),nil)) = cons(sK10,cons(sK45(sK47),nil))
| ~ spl56_25
| ~ spl56_87 ),
inference(resolution,[],[f1337,f946]) ).
fof(f946,plain,
( ! [X1] :
( ~ ssList(X1)
| app(cons(sK10,nil),X1) = cons(sK10,X1) )
| ~ spl56_25 ),
inference(resolution,[],[f384,f721]) ).
fof(f721,plain,
( ssItem(sK10)
| ~ spl56_25 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f4510,plain,
( spl56_105
| spl56_360
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4473,f1336,f4507,f1549]) ).
fof(f4507,plain,
( spl56_360
<=> app(sK28(cons(sK45(sK47),nil)),nil) = sK28(cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_360])]) ).
fof(f4473,plain,
( app(sK28(cons(sK45(sK47),nil)),nil) = sK28(cons(sK45(sK47),nil))
| nil = cons(sK45(sK47),nil)
| ~ spl56_87 ),
inference(resolution,[],[f1337,f846]) ).
fof(f846,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| app(sK28(X0),nil) = sK28(X0) ),
inference(resolution,[],[f412,f407]) ).
fof(f407,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f4505,plain,
( spl56_358
| spl56_359
| spl56_105
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4475,f1336,f1549,f4502,f4498]) ).
fof(f4498,plain,
( spl56_358
<=> nil = sK28(cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_358])]) ).
fof(f4502,plain,
( spl56_359
<=> cons(sK29(sK28(cons(sK45(sK47),nil))),sK28(sK28(cons(sK45(sK47),nil)))) = sK28(cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_359])]) ).
fof(f4475,plain,
( nil = cons(sK45(sK47),nil)
| cons(sK29(sK28(cons(sK45(sK47),nil))),sK28(sK28(cons(sK45(sK47),nil)))) = sK28(cons(sK45(sK47),nil))
| nil = sK28(cons(sK45(sK47),nil))
| ~ spl56_87 ),
inference(resolution,[],[f1337,f886]) ).
fof(f886,plain,
! [X8] :
( ~ ssList(X8)
| nil = X8
| cons(sK29(sK28(X8)),sK28(sK28(X8))) = sK28(X8)
| nil = sK28(X8) ),
inference(resolution,[],[f410,f412]) ).
fof(f410,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK29(X0),sK28(X0)) = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f4496,plain,
( spl56_357
| spl56_105
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f4484,f1336,f1549,f4494]) ).
fof(f4494,plain,
( spl56_357
<=> ! [X13,X14] :
( app(X13,app(sK28(cons(sK45(sK47),nil)),X14)) = app(app(X13,sK28(cons(sK45(sK47),nil))),X14)
| ~ ssList(X13)
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_357])]) ).
fof(f4484,plain,
( ! [X14,X13] :
( nil = cons(sK45(sK47),nil)
| app(X13,app(sK28(cons(sK45(sK47),nil)),X14)) = app(app(X13,sK28(cons(sK45(sK47),nil))),X14)
| ~ ssList(X14)
| ~ ssList(X13) )
| ~ spl56_87 ),
inference(resolution,[],[f1337,f1386]) ).
fof(f1386,plain,
! [X18,X19,X20] :
( ~ ssList(X20)
| nil = X20
| app(app(X19,sK28(X20)),X18) = app(X19,app(sK28(X20),X18))
| ~ ssList(X19)
| ~ ssList(X18) ),
inference(resolution,[],[f385,f412]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
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/benchmark/theBenchmark.p',ax82) ).
fof(f4454,plain,
( spl56_356
| ~ spl56_25
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4392,f1271,f719,f4451]) ).
fof(f4451,plain,
( spl56_356
<=> cons(sK10,sK46(sK47)) = app(cons(sK10,nil),sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_356])]) ).
fof(f4392,plain,
( cons(sK10,sK46(sK47)) = app(cons(sK10,nil),sK46(sK47))
| ~ spl56_25
| ~ spl56_79 ),
inference(resolution,[],[f1272,f946]) ).
fof(f1272,plain,
( ssList(sK46(sK47))
| ~ spl56_79 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f4449,plain,
( spl56_354
| spl56_355
| spl56_84
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4390,f1271,f1301,f4446,f4442]) ).
fof(f4442,plain,
( spl56_354
<=> cons(sK29(sK28(sK46(sK47))),sK28(sK28(sK46(sK47)))) = sK28(sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_354])]) ).
fof(f4446,plain,
( spl56_355
<=> nil = sK28(sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_355])]) ).
fof(f1301,plain,
( spl56_84
<=> nil = sK46(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_84])]) ).
fof(f4390,plain,
( nil = sK46(sK47)
| nil = sK28(sK46(sK47))
| cons(sK29(sK28(sK46(sK47))),sK28(sK28(sK46(sK47)))) = sK28(sK46(sK47))
| ~ spl56_79 ),
inference(resolution,[],[f1272,f886]) ).
fof(f4440,plain,
( spl56_353
| ~ spl56_19
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4391,f1271,f682,f4437]) ).
fof(f4437,plain,
( spl56_353
<=> cons(sK9,sK46(sK47)) = app(cons(sK9,nil),sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_353])]) ).
fof(f4391,plain,
( cons(sK9,sK46(sK47)) = app(cons(sK9,nil),sK46(sK47))
| ~ spl56_19
| ~ spl56_79 ),
inference(resolution,[],[f1272,f945]) ).
fof(f4435,plain,
( spl56_84
| spl56_352
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4387,f1271,f4432,f1301]) ).
fof(f4432,plain,
( spl56_352
<=> sK46(sK47) = cons(hd(sK46(sK47)),tl(sK46(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_352])]) ).
fof(f4387,plain,
( sK46(sK47) = cons(hd(sK46(sK47)),tl(sK46(sK47)))
| nil = sK46(sK47)
| ~ spl56_79 ),
inference(resolution,[],[f1272,f508]) ).
fof(f4430,plain,
( spl56_351
| spl56_84
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4384,f1271,f1301,f4427]) ).
fof(f4427,plain,
( spl56_351
<=> hd(sK46(sK47)) = sK35(sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_351])]) ).
fof(f4384,plain,
( nil = sK46(sK47)
| hd(sK46(sK47)) = sK35(sK46(sK47))
| ~ spl56_79 ),
inference(resolution,[],[f1272,f429]) ).
fof(f4425,plain,
( spl56_84
| spl56_350
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4399,f1271,f4423,f1301]) ).
fof(f4423,plain,
( spl56_350
<=> ! [X13,X14] :
( app(app(X13,sK28(sK46(sK47))),X14) = app(X13,app(sK28(sK46(sK47)),X14))
| ~ ssList(X14)
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_350])]) ).
fof(f4399,plain,
( ! [X14,X13] :
( app(app(X13,sK28(sK46(sK47))),X14) = app(X13,app(sK28(sK46(sK47)),X14))
| ~ ssList(X13)
| ~ ssList(X14)
| nil = sK46(sK47) )
| ~ spl56_79 ),
inference(resolution,[],[f1272,f1386]) ).
fof(f4421,plain,
( spl56_84
| spl56_349
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4395,f1271,f4419,f1301]) ).
fof(f4419,plain,
( spl56_349
<=> ! [X6] :
( app(cons(sK29(sK46(sK47)),nil),X6) = cons(sK29(sK46(sK47)),X6)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_349])]) ).
fof(f4395,plain,
( ! [X6] :
( app(cons(sK29(sK46(sK47)),nil),X6) = cons(sK29(sK46(sK47)),X6)
| nil = sK46(sK47)
| ~ ssList(X6) )
| ~ spl56_79 ),
inference(resolution,[],[f1272,f949]) ).
fof(f4417,plain,
( spl56_348
| spl56_84
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4389,f1271,f1301,f4414]) ).
fof(f4414,plain,
( spl56_348
<=> app(nil,sK28(sK46(sK47))) = sK28(sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_348])]) ).
fof(f4389,plain,
( nil = sK46(sK47)
| app(nil,sK28(sK46(sK47))) = sK28(sK46(sK47))
| ~ spl56_79 ),
inference(resolution,[],[f1272,f847]) ).
fof(f4412,plain,
( spl56_347
| spl56_84
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f4388,f1271,f1301,f4409]) ).
fof(f4409,plain,
( spl56_347
<=> app(sK28(sK46(sK47)),nil) = sK28(sK46(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_347])]) ).
fof(f4388,plain,
( nil = sK46(sK47)
| app(sK28(sK46(sK47)),nil) = sK28(sK46(sK47))
| ~ spl56_79 ),
inference(resolution,[],[f1272,f846]) ).
fof(f4379,plain,
( ~ spl56_14
| spl56_85
| spl56_84
| ~ spl56_4
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f2649,f637,f610,f1301,f1305,f657]) ).
fof(f1305,plain,
( spl56_85
<=> cons(sK29(sK46(sK47)),sK28(sK46(sK47))) = sK46(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_85])]) ).
fof(f610,plain,
( spl56_4
<=> ! [X4] :
( ~ ssList(X4)
| sK40 != app(sK39,X4)
| ssList(sK46(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_4])]) ).
fof(f2649,plain,
( nil = sK46(sK47)
| cons(sK29(sK46(sK47)),sK28(sK46(sK47))) = sK46(sK47)
| ~ ssList(sK47)
| ~ spl56_4
| ~ spl56_10 ),
inference(trivial_inequality_removal,[],[f2648]) ).
fof(f2648,plain,
( nil = sK46(sK47)
| cons(sK29(sK46(sK47)),sK28(sK46(sK47))) = sK46(sK47)
| sK40 != sK40
| ~ ssList(sK47)
| ~ spl56_4
| ~ spl56_10 ),
inference(superposition,[],[f891,f639]) ).
fof(f891,plain,
( ! [X10] :
( sK40 != app(sK39,X10)
| ~ ssList(X10)
| nil = sK46(X10)
| sK46(X10) = cons(sK29(sK46(X10)),sK28(sK46(X10))) )
| ~ spl56_4 ),
inference(resolution,[],[f410,f611]) ).
fof(f611,plain,
( ! [X4] :
( ssList(sK46(X4))
| sK40 != app(sK39,X4)
| ~ ssList(X4) )
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f4378,plain,
( spl56_27
| ~ spl56_14
| ~ spl56_9
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f2144,f637,f633,f657,f732]) ).
fof(f633,plain,
( spl56_9
<=> ! [X4] :
( sK40 != app(sK39,X4)
| app(sK46(X4),cons(sK45(X4),nil)) = sK39
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_9])]) ).
fof(f2144,plain,
( ~ ssList(sK47)
| app(sK46(sK47),cons(sK45(sK47),nil)) = sK39
| ~ spl56_9
| ~ spl56_10 ),
inference(trivial_inequality_removal,[],[f2143]) ).
fof(f2143,plain,
( ~ ssList(sK47)
| sK40 != sK40
| app(sK46(sK47),cons(sK45(sK47),nil)) = sK39
| ~ spl56_9
| ~ spl56_10 ),
inference(superposition,[],[f634,f639]) ).
fof(f634,plain,
( ! [X4] :
( sK40 != app(sK39,X4)
| app(sK46(X4),cons(sK45(X4),nil)) = sK39
| ~ ssList(X4) )
| ~ spl56_9 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f4377,plain,
( spl56_346
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f1287,f1271,f4374]) ).
fof(f4374,plain,
( spl56_346
<=> ! [X1] :
( ssList(app(X1,sK46(sK47)))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_346])]) ).
fof(f1287,plain,
( ! [X0] :
( ssList(app(X0,sK46(sK47)))
| ~ ssList(X0) )
| ~ spl56_79 ),
inference(resolution,[],[f1272,f437]) ).
fof(f437,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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/benchmark/theBenchmark.p',ax26) ).
fof(f4376,plain,
( ~ spl56_14
| spl56_346
| ~ spl56_4
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f2526,f637,f610,f4374,f657]) ).
fof(f2526,plain,
( ! [X1] :
( ssList(app(X1,sK46(sK47)))
| ~ ssList(sK47)
| ~ ssList(X1) )
| ~ spl56_4
| ~ spl56_10 ),
inference(trivial_inequality_removal,[],[f2525]) ).
fof(f2525,plain,
( ! [X1] :
( ~ ssList(X1)
| ssList(app(X1,sK46(sK47)))
| sK40 != sK40
| ~ ssList(sK47) )
| ~ spl56_4
| ~ spl56_10 ),
inference(superposition,[],[f860,f639]) ).
fof(f860,plain,
( ! [X18,X17] :
( sK40 != app(sK39,X18)
| ssList(app(X17,sK46(X18)))
| ~ ssList(X17)
| ~ ssList(X18) )
| ~ spl56_4 ),
inference(resolution,[],[f437,f611]) ).
fof(f4372,plain,
( spl56_181
| ~ spl56_148
| ~ spl56_29
| spl56_289
| ~ spl56_226 ),
inference(avatar_split_clause,[],[f3062,f2996,f3527,f746,f2282,f2532]) ).
fof(f2532,plain,
( spl56_181
<=> lt(sK29(sK39),sK43(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_181])]) ).
fof(f2282,plain,
( spl56_148
<=> ssItem(sK29(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_148])]) ).
fof(f746,plain,
( spl56_29
<=> ssItem(sK43(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_29])]) ).
fof(f3527,plain,
( spl56_289
<=> sK29(sK39) = sK43(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_289])]) ).
fof(f2996,plain,
( spl56_226
<=> leq(sK29(sK39),sK43(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_226])]) ).
fof(f3062,plain,
( sK29(sK39) = sK43(sK47)
| ~ ssItem(sK43(sK47))
| ~ ssItem(sK29(sK39))
| lt(sK29(sK39),sK43(sK47))
| ~ spl56_226 ),
inference(resolution,[],[f2998,f409]) ).
fof(f409,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ leq(X0,X1)
| lt(X0,X1)
| ~ ssItem(X1)
| X0 = X1 ) ),
inference(flattening,[],[f152]) ).
fof(f152,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/benchmark/theBenchmark.p',ax92) ).
fof(f2998,plain,
( leq(sK29(sK39),sK43(sK47))
| ~ spl56_226 ),
inference(avatar_component_clause,[],[f2996]) ).
fof(f4371,plain,
( ~ spl56_26
| ~ spl56_32
| ~ spl56_175 ),
inference(avatar_split_clause,[],[f4370,f2462,f768,f725]) ).
fof(f725,plain,
( spl56_26
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_26])]) ).
fof(f768,plain,
( spl56_32
<=> app(nil,sK39) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_32])]) ).
fof(f2462,plain,
( spl56_175
<=> ! [X0] :
( app(X0,sK39) != sK39
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_175])]) ).
fof(f4370,plain,
( ~ ssList(nil)
| ~ spl56_32
| ~ spl56_175 ),
inference(trivial_inequality_removal,[],[f4369]) ).
fof(f4369,plain,
( sK39 != sK39
| ~ ssList(nil)
| ~ spl56_32
| ~ spl56_175 ),
inference(superposition,[],[f2463,f770]) ).
fof(f770,plain,
( app(nil,sK39) = sK39
| ~ spl56_32 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f2463,plain,
( ! [X0] :
( app(X0,sK39) != sK39
| ~ ssList(X0) )
| ~ spl56_175 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f4295,plain,
( spl56_54
| spl56_345
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f4269,f967,f4293,f985]) ).
fof(f985,plain,
( spl56_54
<=> nil = sK28(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_54])]) ).
fof(f4293,plain,
( spl56_345
<=> ! [X54,X55] :
( app(X54,app(sK28(sK28(sK47)),X55)) = app(app(X54,sK28(sK28(sK47))),X55)
| ~ ssList(X54)
| ~ ssList(X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_345])]) ).
fof(f967,plain,
( spl56_52
<=> ssList(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_52])]) ).
fof(f4269,plain,
( ! [X54,X55] :
( app(X54,app(sK28(sK28(sK47)),X55)) = app(app(X54,sK28(sK28(sK47))),X55)
| ~ ssList(X55)
| nil = sK28(sK47)
| ~ ssList(X54) )
| ~ spl56_52 ),
inference(resolution,[],[f1386,f968]) ).
fof(f968,plain,
( ssList(sK28(sK47))
| ~ spl56_52 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f4291,plain,
( spl56_344
| spl56_161
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f4268,f2337,f2350,f4289]) ).
fof(f4289,plain,
( spl56_344
<=> ! [X52,X53] :
( app(X52,app(sK28(sK28(sK40)),X53)) = app(app(X52,sK28(sK28(sK40))),X53)
| ~ ssList(X52)
| ~ ssList(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_344])]) ).
fof(f2350,plain,
( spl56_161
<=> nil = sK28(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_161])]) ).
fof(f2337,plain,
( spl56_158
<=> ssList(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_158])]) ).
fof(f4268,plain,
( ! [X52,X53] :
( nil = sK28(sK40)
| app(X52,app(sK28(sK28(sK40)),X53)) = app(app(X52,sK28(sK28(sK40))),X53)
| ~ ssList(X53)
| ~ ssList(X52) )
| ~ spl56_158 ),
inference(resolution,[],[f1386,f2338]) ).
fof(f2338,plain,
( ssList(sK28(sK40))
| ~ spl56_158 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f4287,plain,
( spl56_44
| spl56_343
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f4272,f750,f4285,f894]) ).
fof(f894,plain,
( spl56_44
<=> nil = sK44(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_44])]) ).
fof(f4285,plain,
( spl56_343
<=> ! [X61,X60] :
( ~ ssList(X60)
| app(app(X60,sK28(sK44(sK47))),X61) = app(X60,app(sK28(sK44(sK47)),X61))
| ~ ssList(X61) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_343])]) ).
fof(f750,plain,
( spl56_30
<=> ssList(sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_30])]) ).
fof(f4272,plain,
( ! [X60,X61] :
( ~ ssList(X60)
| nil = sK44(sK47)
| ~ ssList(X61)
| app(app(X60,sK28(sK44(sK47))),X61) = app(X60,app(sK28(sK44(sK47)),X61)) )
| ~ spl56_30 ),
inference(resolution,[],[f1386,f751]) ).
fof(f751,plain,
( ssList(sK44(sK47))
| ~ spl56_30 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f4281,plain,
( spl56_60
| spl56_342
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f4252,f1017,f4279,f1022]) ).
fof(f1022,plain,
( spl56_60
<=> nil = cons(sK43(sK47),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_60])]) ).
fof(f4279,plain,
( spl56_342
<=> ! [X4,X5] :
( app(app(X4,sK28(cons(sK43(sK47),nil))),X5) = app(X4,app(sK28(cons(sK43(sK47),nil)),X5))
| ~ ssList(X5)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_342])]) ).
fof(f1017,plain,
( spl56_59
<=> ssList(cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_59])]) ).
fof(f4252,plain,
( ! [X4,X5] :
( app(app(X4,sK28(cons(sK43(sK47),nil))),X5) = app(X4,app(sK28(cons(sK43(sK47),nil)),X5))
| nil = cons(sK43(sK47),nil)
| ~ ssList(X4)
| ~ ssList(X5) )
| ~ spl56_59 ),
inference(resolution,[],[f1386,f1018]) ).
fof(f1018,plain,
( ssList(cons(sK43(sK47),nil))
| ~ spl56_59 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f4083,plain,
( spl56_341
| ~ spl56_191
| ~ spl56_337 ),
inference(avatar_split_clause,[],[f4078,f4053,f2678,f4080]) ).
fof(f4080,plain,
( spl56_341
<=> cons(sK29(app(sK39,sK40)),nil) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_341])]) ).
fof(f2678,plain,
( spl56_191
<=> cons(sK29(app(sK39,sK40)),sK28(app(sK39,sK40))) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_191])]) ).
fof(f4053,plain,
( spl56_337
<=> nil = sK28(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_337])]) ).
fof(f4078,plain,
( cons(sK29(app(sK39,sK40)),nil) = app(sK39,sK40)
| ~ spl56_191
| ~ spl56_337 ),
inference(backward_demodulation,[],[f2680,f4055]) ).
fof(f4055,plain,
( nil = sK28(app(sK39,sK40))
| ~ spl56_337 ),
inference(avatar_component_clause,[],[f4053]) ).
fof(f2680,plain,
( cons(sK29(app(sK39,sK40)),sK28(app(sK39,sK40))) = app(sK39,sK40)
| ~ spl56_191 ),
inference(avatar_component_clause,[],[f2678]) ).
fof(f4073,plain,
( spl56_340
| ~ spl56_204
| ~ spl56_339 ),
inference(avatar_split_clause,[],[f4068,f4062,f2790,f4070]) ).
fof(f4070,plain,
( spl56_340
<=> cons(sK29(app(sK39,sK39)),nil) = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_340])]) ).
fof(f2790,plain,
( spl56_204
<=> app(sK39,sK39) = cons(sK29(app(sK39,sK39)),sK28(app(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_204])]) ).
fof(f4062,plain,
( spl56_339
<=> nil = sK28(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_339])]) ).
fof(f4068,plain,
( cons(sK29(app(sK39,sK39)),nil) = app(sK39,sK39)
| ~ spl56_204
| ~ spl56_339 ),
inference(backward_demodulation,[],[f2792,f4064]) ).
fof(f4064,plain,
( nil = sK28(app(sK39,sK39))
| ~ spl56_339 ),
inference(avatar_component_clause,[],[f4062]) ).
fof(f2792,plain,
( app(sK39,sK39) = cons(sK29(app(sK39,sK39)),sK28(app(sK39,sK39)))
| ~ spl56_204 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f4065,plain,
( spl56_338
| spl56_339
| spl56_205
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3998,f2635,f2794,f4062,f4058]) ).
fof(f4058,plain,
( spl56_338
<=> sK28(app(sK39,sK39)) = cons(sK29(sK28(app(sK39,sK39))),sK28(sK28(app(sK39,sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_338])]) ).
fof(f2794,plain,
( spl56_205
<=> nil = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_205])]) ).
fof(f2635,plain,
( spl56_186
<=> ssList(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_186])]) ).
fof(f3998,plain,
( nil = app(sK39,sK39)
| nil = sK28(app(sK39,sK39))
| sK28(app(sK39,sK39)) = cons(sK29(sK28(app(sK39,sK39))),sK28(sK28(app(sK39,sK39))))
| ~ spl56_186 ),
inference(resolution,[],[f886,f2636]) ).
fof(f2636,plain,
( ssList(app(sK39,sK39))
| ~ spl56_186 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f4056,plain,
( spl56_336
| spl56_192
| spl56_337
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3997,f2622,f4053,f2682,f4049]) ).
fof(f4049,plain,
( spl56_336
<=> cons(sK29(sK28(app(sK39,sK40))),sK28(sK28(app(sK39,sK40)))) = sK28(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_336])]) ).
fof(f2682,plain,
( spl56_192
<=> nil = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_192])]) ).
fof(f2622,plain,
( spl56_183
<=> ssList(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_183])]) ).
fof(f3997,plain,
( nil = sK28(app(sK39,sK40))
| nil = app(sK39,sK40)
| cons(sK29(sK28(app(sK39,sK40))),sK28(sK28(app(sK39,sK40)))) = sK28(app(sK39,sK40))
| ~ spl56_183 ),
inference(resolution,[],[f886,f2623]) ).
fof(f2623,plain,
( ssList(app(sK39,sK40))
| ~ spl56_183 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f4047,plain,
( spl56_334
| spl56_60
| spl56_335
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3988,f1017,f4044,f1022,f4040]) ).
fof(f4040,plain,
( spl56_334
<=> nil = sK28(cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_334])]) ).
fof(f4044,plain,
( spl56_335
<=> cons(sK29(sK28(cons(sK43(sK47),nil))),sK28(sK28(cons(sK43(sK47),nil)))) = sK28(cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_335])]) ).
fof(f3988,plain,
( cons(sK29(sK28(cons(sK43(sK47),nil))),sK28(sK28(cons(sK43(sK47),nil)))) = sK28(cons(sK43(sK47),nil))
| nil = cons(sK43(sK47),nil)
| nil = sK28(cons(sK43(sK47),nil))
| ~ spl56_59 ),
inference(resolution,[],[f886,f1018]) ).
fof(f4038,plain,
( spl56_332
| spl56_54
| spl56_333
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f4005,f967,f4035,f985,f4031]) ).
fof(f4031,plain,
( spl56_332
<=> nil = sK28(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_332])]) ).
fof(f4035,plain,
( spl56_333
<=> sK28(sK28(sK47)) = cons(sK29(sK28(sK28(sK47))),sK28(sK28(sK28(sK47)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_333])]) ).
fof(f4005,plain,
( sK28(sK28(sK47)) = cons(sK29(sK28(sK28(sK47))),sK28(sK28(sK28(sK47))))
| nil = sK28(sK47)
| nil = sK28(sK28(sK47))
| ~ spl56_52 ),
inference(resolution,[],[f886,f968]) ).
fof(f4029,plain,
( spl56_44
| spl56_330
| spl56_331
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f4008,f750,f4026,f4022,f894]) ).
fof(f4022,plain,
( spl56_330
<=> nil = sK28(sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_330])]) ).
fof(f4026,plain,
( spl56_331
<=> cons(sK29(sK28(sK44(sK47))),sK28(sK28(sK44(sK47)))) = sK28(sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_331])]) ).
fof(f4008,plain,
( cons(sK29(sK28(sK44(sK47))),sK28(sK28(sK44(sK47)))) = sK28(sK44(sK47))
| nil = sK28(sK44(sK47))
| nil = sK44(sK47)
| ~ spl56_30 ),
inference(resolution,[],[f886,f751]) ).
fof(f4020,plain,
( spl56_161
| spl56_328
| spl56_329
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f4004,f2337,f4017,f4013,f2350]) ).
fof(f4013,plain,
( spl56_328
<=> sK28(sK28(sK40)) = cons(sK29(sK28(sK28(sK40))),sK28(sK28(sK28(sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_328])]) ).
fof(f4017,plain,
( spl56_329
<=> nil = sK28(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_329])]) ).
fof(f4004,plain,
( nil = sK28(sK28(sK40))
| sK28(sK28(sK40)) = cons(sK29(sK28(sK28(sK40))),sK28(sK28(sK28(sK40))))
| nil = sK28(sK40)
| ~ spl56_158 ),
inference(resolution,[],[f886,f2338]) ).
fof(f3986,plain,
( spl56_327
| spl56_205
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3948,f2635,f2794,f3984]) ).
fof(f3984,plain,
( spl56_327
<=> ! [X25] :
( ~ ssList(X25)
| app(cons(sK29(app(sK39,sK39)),nil),X25) = cons(sK29(app(sK39,sK39)),X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_327])]) ).
fof(f3948,plain,
( ! [X25] :
( nil = app(sK39,sK39)
| ~ ssList(X25)
| app(cons(sK29(app(sK39,sK39)),nil),X25) = cons(sK29(app(sK39,sK39)),X25) )
| ~ spl56_186 ),
inference(resolution,[],[f949,f2636]) ).
fof(f3982,plain,
( spl56_44
| spl56_326
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f3958,f750,f3980,f894]) ).
fof(f3980,plain,
( spl56_326
<=> ! [X39] :
( cons(sK29(sK44(sK47)),X39) = app(cons(sK29(sK44(sK47)),nil),X39)
| ~ ssList(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_326])]) ).
fof(f3958,plain,
( ! [X39] :
( cons(sK29(sK44(sK47)),X39) = app(cons(sK29(sK44(sK47)),nil),X39)
| ~ ssList(X39)
| nil = sK44(sK47) )
| ~ spl56_30 ),
inference(resolution,[],[f949,f751]) ).
fof(f3977,plain,
( spl56_325
| spl56_60
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3938,f1017,f1022,f3975]) ).
fof(f3975,plain,
( spl56_325
<=> ! [X3] :
( ~ ssList(X3)
| app(cons(sK29(cons(sK43(sK47),nil)),nil),X3) = cons(sK29(cons(sK43(sK47),nil)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_325])]) ).
fof(f3938,plain,
( ! [X3] :
( nil = cons(sK43(sK47),nil)
| ~ ssList(X3)
| app(cons(sK29(cons(sK43(sK47),nil)),nil),X3) = cons(sK29(cons(sK43(sK47),nil)),X3) )
| ~ spl56_59 ),
inference(resolution,[],[f949,f1018]) ).
fof(f3973,plain,
( spl56_192
| spl56_324
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3947,f2622,f3971,f2682]) ).
fof(f3971,plain,
( spl56_324
<=> ! [X24] :
( app(cons(sK29(app(sK39,sK40)),nil),X24) = cons(sK29(app(sK39,sK40)),X24)
| ~ ssList(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_324])]) ).
fof(f3947,plain,
( ! [X24] :
( app(cons(sK29(app(sK39,sK40)),nil),X24) = cons(sK29(app(sK39,sK40)),X24)
| ~ ssList(X24)
| nil = app(sK39,sK40) )
| ~ spl56_183 ),
inference(resolution,[],[f949,f2623]) ).
fof(f3969,plain,
( spl56_54
| spl56_323
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f3955,f967,f3967,f985]) ).
fof(f3967,plain,
( spl56_323
<=> ! [X36] :
( cons(sK29(sK28(sK47)),X36) = app(cons(sK29(sK28(sK47)),nil),X36)
| ~ ssList(X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_323])]) ).
fof(f3955,plain,
( ! [X36] :
( cons(sK29(sK28(sK47)),X36) = app(cons(sK29(sK28(sK47)),nil),X36)
| nil = sK28(sK47)
| ~ ssList(X36) )
| ~ spl56_52 ),
inference(resolution,[],[f949,f968]) ).
fof(f3965,plain,
( spl56_322
| spl56_161
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f3954,f2337,f2350,f3963]) ).
fof(f3963,plain,
( spl56_322
<=> ! [X35] :
( ~ ssList(X35)
| cons(sK29(sK28(sK40)),X35) = app(cons(sK29(sK28(sK40)),nil),X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_322])]) ).
fof(f3954,plain,
( ! [X35] :
( nil = sK28(sK40)
| ~ ssList(X35)
| cons(sK29(sK28(sK40)),X35) = app(cons(sK29(sK28(sK40)),nil),X35) )
| ~ spl56_158 ),
inference(resolution,[],[f949,f2338]) ).
fof(f3935,plain,
( spl56_321
| ~ spl56_302
| ~ spl56_316 ),
inference(avatar_split_clause,[],[f3930,f3899,f3810,f3932]) ).
fof(f3932,plain,
( spl56_321
<=> app(app(nil,cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),nil)) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_321])]) ).
fof(f3810,plain,
( spl56_302
<=> app(app(nil,cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_302])]) ).
fof(f3899,plain,
( spl56_316
<=> nil = sK17(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_316])]) ).
fof(f3930,plain,
( app(app(nil,cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),nil)) = app(sK39,sK40)
| ~ spl56_302
| ~ spl56_316 ),
inference(forward_demodulation,[],[f3812,f3901]) ).
fof(f3901,plain,
( nil = sK17(app(sK39,sK40))
| ~ spl56_316 ),
inference(avatar_component_clause,[],[f3899]) ).
fof(f3812,plain,
( app(app(nil,cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40)
| ~ spl56_302 ),
inference(avatar_component_clause,[],[f3810]) ).
fof(f3929,plain,
( spl56_320
| ~ spl56_312
| ~ spl56_316 ),
inference(avatar_split_clause,[],[f3922,f3899,f3874,f3926]) ).
fof(f3926,plain,
( spl56_320
<=> app(app(nil,cons(sK13(app(sK39,sK40)),nil)),cons(sK14(app(sK39,sK40)),nil)) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_320])]) ).
fof(f3874,plain,
( spl56_312
<=> app(app(nil,cons(sK13(app(sK39,sK40)),nil)),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_312])]) ).
fof(f3922,plain,
( app(app(nil,cons(sK13(app(sK39,sK40)),nil)),cons(sK14(app(sK39,sK40)),nil)) = app(sK39,sK40)
| ~ spl56_312
| ~ spl56_316 ),
inference(backward_demodulation,[],[f3876,f3901]) ).
fof(f3876,plain,
( app(app(nil,cons(sK13(app(sK39,sK40)),nil)),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40)
| ~ spl56_312 ),
inference(avatar_component_clause,[],[f3874]) ).
fof(f3919,plain,
( spl56_319
| ~ spl56_202
| ~ spl56_317 ),
inference(avatar_split_clause,[],[f3914,f3904,f2771,f3916]) ).
fof(f3916,plain,
( spl56_319
<=> app(app(sK15(app(sK39,sK39)),cons(sK13(app(sK39,sK39)),sK16(app(sK39,sK39)))),cons(sK14(app(sK39,sK39)),nil)) = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_319])]) ).
fof(f2771,plain,
( spl56_202
<=> app(app(sK15(app(sK39,sK39)),cons(sK13(app(sK39,sK39)),sK16(app(sK39,sK39)))),cons(sK14(app(sK39,sK39)),sK17(app(sK39,sK39)))) = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_202])]) ).
fof(f3904,plain,
( spl56_317
<=> nil = sK17(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_317])]) ).
fof(f3914,plain,
( app(app(sK15(app(sK39,sK39)),cons(sK13(app(sK39,sK39)),sK16(app(sK39,sK39)))),cons(sK14(app(sK39,sK39)),nil)) = app(sK39,sK39)
| ~ spl56_202
| ~ spl56_317 ),
inference(backward_demodulation,[],[f2773,f3906]) ).
fof(f3906,plain,
( nil = sK17(app(sK39,sK39))
| ~ spl56_317 ),
inference(avatar_component_clause,[],[f3904]) ).
fof(f2773,plain,
( app(app(sK15(app(sK39,sK39)),cons(sK13(app(sK39,sK39)),sK16(app(sK39,sK39)))),cons(sK14(app(sK39,sK39)),sK17(app(sK39,sK39)))) = app(sK39,sK39)
| ~ spl56_202 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f3911,plain,
( ~ spl56_186
| spl56_317
| spl56_318
| spl56_185 ),
inference(avatar_split_clause,[],[f3883,f2631,f3908,f3904,f2635]) ).
fof(f3908,plain,
( spl56_318
<=> cons(sK29(sK17(app(sK39,sK39))),sK28(sK17(app(sK39,sK39)))) = sK17(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_318])]) ).
fof(f2631,plain,
( spl56_185
<=> strictorderedP(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_185])]) ).
fof(f3883,plain,
( cons(sK29(sK17(app(sK39,sK39))),sK28(sK17(app(sK39,sK39)))) = sK17(app(sK39,sK39))
| nil = sK17(app(sK39,sK39))
| ~ ssList(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f885,f2633]) ).
fof(f2633,plain,
( ~ strictorderedP(app(sK39,sK39))
| spl56_185 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f885,plain,
! [X7] :
( strictorderedP(X7)
| ~ ssList(X7)
| nil = sK17(X7)
| sK17(X7) = cons(sK29(sK17(X7)),sK28(sK17(X7))) ),
inference(resolution,[],[f410,f380]) ).
fof(f380,plain,
! [X0] :
( ssList(sK17(X0))
| ~ ssList(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ! [X1] :
( ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 ) )
| ~ ssList(X3) ) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) )
& ( strictorderedP(X0)
| ( ssItem(sK14(X0))
& ssList(sK16(X0))
& ssList(sK17(X0))
& ~ lt(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),sK16(X0))),cons(sK14(X0),sK17(X0))) = X0
& ssList(sK15(X0))
& ssItem(sK13(X0)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17])],[f251,f256,f255,f254,f253,f252]) ).
fof(f252,plain,
! [X0] :
( ? [X6] :
( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(X6,X7)
& app(app(X8,cons(X6,X9)),cons(X7,X10)) = X0 ) )
& ssList(X8) ) )
& ssItem(X6) )
=> ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),X7)
& app(app(X8,cons(sK13(X0),X9)),cons(X7,X10)) = X0 ) )
& ssList(X8) ) )
& ssItem(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X0] :
( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),X7)
& app(app(X8,cons(sK13(X0),X9)),cons(X7,X10)) = X0 ) )
& ssList(X8) ) )
=> ( ssItem(sK14(X0))
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),sK14(X0))
& app(app(X8,cons(sK13(X0),X9)),cons(sK14(X0),X10)) = X0 ) )
& ssList(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X0] :
( ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),sK14(X0))
& app(app(X8,cons(sK13(X0),X9)),cons(sK14(X0),X10)) = X0 ) )
& ssList(X8) )
=> ( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),X9)),cons(sK14(X0),X10)) = X0 ) )
& ssList(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
! [X0] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),X9)),cons(sK14(X0),X10)) = X0 ) )
=> ( ssList(sK16(X0))
& ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),sK16(X0))),cons(sK14(X0),X10)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
! [X0] :
( ? [X10] :
( ssList(X10)
& ~ lt(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),sK16(X0))),cons(sK14(X0),X10)) = X0 )
=> ( ssList(sK17(X0))
& ~ lt(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),sK16(X0))),cons(sK14(X0),sK17(X0))) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ! [X1] :
( ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 ) )
| ~ ssList(X3) ) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) )
& ( strictorderedP(X0)
| ? [X6] :
( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ~ lt(X6,X7)
& app(app(X8,cons(X6,X9)),cons(X7,X10)) = X0 ) )
& ssList(X8) ) )
& ssItem(X6) ) ) ) ),
inference(rectify,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ! [X1] :
( ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 ) )
| ~ ssList(X3) ) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) )
& ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& ? [X3] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0 ) )
& ssList(X3) ) )
& ssItem(X1) ) ) ) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ~ ssList(X0)
| ( ! [X1] :
( ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 ) )
| ~ ssList(X3) ) )
| ~ ssItem(X1) )
<=> strictorderedP(X0) ) ),
inference(flattening,[],[f198]) ).
fof(f198,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) )
<=> strictorderedP(X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(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) ) ) ) ) ) )
<=> strictorderedP(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f3902,plain,
( spl56_315
| ~ spl56_183
| spl56_316
| spl56_182 ),
inference(avatar_split_clause,[],[f3882,f2618,f3899,f2622,f3895]) ).
fof(f3895,plain,
( spl56_315
<=> sK17(app(sK39,sK40)) = cons(sK29(sK17(app(sK39,sK40))),sK28(sK17(app(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_315])]) ).
fof(f2618,plain,
( spl56_182
<=> strictorderedP(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_182])]) ).
fof(f3882,plain,
( nil = sK17(app(sK39,sK40))
| ~ ssList(app(sK39,sK40))
| sK17(app(sK39,sK40)) = cons(sK29(sK17(app(sK39,sK40))),sK28(sK17(app(sK39,sK40))))
| spl56_182 ),
inference(resolution,[],[f885,f2620]) ).
fof(f2620,plain,
( ~ strictorderedP(app(sK39,sK40))
| spl56_182 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f3893,plain,
( spl56_313
| ~ spl56_18
| spl56_314
| spl56_160 ),
inference(avatar_split_clause,[],[f3884,f2346,f3890,f677,f3886]) ).
fof(f3886,plain,
( spl56_313
<=> nil = sK17(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_313])]) ).
fof(f677,plain,
( spl56_18
<=> ssList(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_18])]) ).
fof(f3890,plain,
( spl56_314
<=> cons(sK29(sK17(sK40)),sK28(sK17(sK40))) = sK17(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_314])]) ).
fof(f2346,plain,
( spl56_160
<=> strictorderedP(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_160])]) ).
fof(f3884,plain,
( cons(sK29(sK17(sK40)),sK28(sK17(sK40))) = sK17(sK40)
| ~ ssList(sK40)
| nil = sK17(sK40)
| spl56_160 ),
inference(resolution,[],[f885,f2348]) ).
fof(f2348,plain,
( ~ strictorderedP(sK40)
| spl56_160 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f3877,plain,
( spl56_312
| ~ spl56_302
| ~ spl56_305 ),
inference(avatar_split_clause,[],[f3870,f3834,f3810,f3874]) ).
fof(f3834,plain,
( spl56_305
<=> nil = sK16(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_305])]) ).
fof(f3870,plain,
( app(app(nil,cons(sK13(app(sK39,sK40)),nil)),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40)
| ~ spl56_302
| ~ spl56_305 ),
inference(backward_demodulation,[],[f3812,f3836]) ).
fof(f3836,plain,
( nil = sK16(app(sK39,sK40))
| ~ spl56_305 ),
inference(avatar_component_clause,[],[f3834]) ).
fof(f3869,plain,
( ~ spl56_311
| spl56_303
| ~ spl56_308 ),
inference(avatar_split_clause,[],[f3856,f3848,f3818,f3866]) ).
fof(f3866,plain,
( spl56_311
<=> app(app(nil,cons(sK13(sK40),nil)),cons(sK14(sK40),sK17(sK40))) = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_311])]) ).
fof(f3818,plain,
( spl56_303
<=> app(app(nil,cons(sK13(sK40),sK16(sK40))),cons(sK14(sK40),sK17(sK40))) = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_303])]) ).
fof(f3848,plain,
( spl56_308
<=> nil = sK16(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_308])]) ).
fof(f3856,plain,
( app(app(nil,cons(sK13(sK40),nil)),cons(sK14(sK40),sK17(sK40))) != sK40
| spl56_303
| ~ spl56_308 ),
inference(backward_demodulation,[],[f3819,f3850]) ).
fof(f3850,plain,
( nil = sK16(sK40)
| ~ spl56_308 ),
inference(avatar_component_clause,[],[f3848]) ).
fof(f3819,plain,
( app(app(nil,cons(sK13(sK40),sK16(sK40))),cons(sK14(sK40),sK17(sK40))) != sK40
| spl56_303 ),
inference(avatar_component_clause,[],[f3818]) ).
fof(f3864,plain,
( spl56_310
| ~ spl56_167
| ~ spl56_308 ),
inference(avatar_split_clause,[],[f3857,f3848,f2380,f3861]) ).
fof(f3861,plain,
( spl56_310
<=> sK40 = app(app(sK15(sK40),cons(sK13(sK40),nil)),cons(sK14(sK40),sK17(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_310])]) ).
fof(f2380,plain,
( spl56_167
<=> app(app(sK15(sK40),cons(sK13(sK40),sK16(sK40))),cons(sK14(sK40),sK17(sK40))) = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_167])]) ).
fof(f3857,plain,
( sK40 = app(app(sK15(sK40),cons(sK13(sK40),nil)),cons(sK14(sK40),sK17(sK40)))
| ~ spl56_167
| ~ spl56_308 ),
inference(backward_demodulation,[],[f2382,f3850]) ).
fof(f2382,plain,
( app(app(sK15(sK40),cons(sK13(sK40),sK16(sK40))),cons(sK14(sK40),sK17(sK40))) = sK40
| ~ spl56_167 ),
inference(avatar_component_clause,[],[f2380]) ).
fof(f3855,plain,
( spl56_308
| ~ spl56_18
| spl56_309
| spl56_160 ),
inference(avatar_split_clause,[],[f3828,f2346,f3852,f677,f3848]) ).
fof(f3852,plain,
( spl56_309
<=> sK16(sK40) = cons(sK29(sK16(sK40)),sK28(sK16(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_309])]) ).
fof(f3828,plain,
( sK16(sK40) = cons(sK29(sK16(sK40)),sK28(sK16(sK40)))
| ~ ssList(sK40)
| nil = sK16(sK40)
| spl56_160 ),
inference(resolution,[],[f884,f2348]) ).
fof(f884,plain,
! [X6] :
( strictorderedP(X6)
| nil = sK16(X6)
| ~ ssList(X6)
| cons(sK29(sK16(X6)),sK28(sK16(X6))) = sK16(X6) ),
inference(resolution,[],[f410,f381]) ).
fof(f381,plain,
! [X0] :
( ssList(sK16(X0))
| ~ ssList(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f3846,plain,
( ~ spl56_186
| spl56_306
| spl56_307
| spl56_185 ),
inference(avatar_split_clause,[],[f3827,f2631,f3843,f3839,f2635]) ).
fof(f3839,plain,
( spl56_306
<=> cons(sK29(sK16(app(sK39,sK39))),sK28(sK16(app(sK39,sK39)))) = sK16(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_306])]) ).
fof(f3843,plain,
( spl56_307
<=> nil = sK16(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_307])]) ).
fof(f3827,plain,
( nil = sK16(app(sK39,sK39))
| cons(sK29(sK16(app(sK39,sK39))),sK28(sK16(app(sK39,sK39)))) = sK16(app(sK39,sK39))
| ~ ssList(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f884,f2633]) ).
fof(f3837,plain,
( spl56_304
| ~ spl56_183
| spl56_305
| spl56_182 ),
inference(avatar_split_clause,[],[f3826,f2618,f3834,f2622,f3830]) ).
fof(f3830,plain,
( spl56_304
<=> sK16(app(sK39,sK40)) = cons(sK29(sK16(app(sK39,sK40))),sK28(sK16(app(sK39,sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_304])]) ).
fof(f3826,plain,
( nil = sK16(app(sK39,sK40))
| ~ ssList(app(sK39,sK40))
| sK16(app(sK39,sK40)) = cons(sK29(sK16(app(sK39,sK40))),sK28(sK16(app(sK39,sK40))))
| spl56_182 ),
inference(resolution,[],[f884,f2620]) ).
fof(f3821,plain,
( spl56_303
| ~ spl56_167
| ~ spl56_301 ),
inference(avatar_split_clause,[],[f3816,f3802,f2380,f3818]) ).
fof(f3802,plain,
( spl56_301
<=> nil = sK15(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_301])]) ).
fof(f3816,plain,
( app(app(nil,cons(sK13(sK40),sK16(sK40))),cons(sK14(sK40),sK17(sK40))) = sK40
| ~ spl56_167
| ~ spl56_301 ),
inference(backward_demodulation,[],[f2382,f3804]) ).
fof(f3804,plain,
( nil = sK15(sK40)
| ~ spl56_301 ),
inference(avatar_component_clause,[],[f3802]) ).
fof(f3813,plain,
( spl56_302
| ~ spl56_188
| ~ spl56_298 ),
inference(avatar_split_clause,[],[f3808,f3789,f2653,f3810]) ).
fof(f2653,plain,
( spl56_188
<=> app(app(sK15(app(sK39,sK40)),cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_188])]) ).
fof(f3789,plain,
( spl56_298
<=> nil = sK15(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_298])]) ).
fof(f3808,plain,
( app(app(nil,cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40)
| ~ spl56_188
| ~ spl56_298 ),
inference(backward_demodulation,[],[f2655,f3791]) ).
fof(f3791,plain,
( nil = sK15(app(sK39,sK40))
| ~ spl56_298 ),
inference(avatar_component_clause,[],[f3789]) ).
fof(f2655,plain,
( app(app(sK15(app(sK39,sK40)),cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40)
| ~ spl56_188 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f3805,plain,
( spl56_300
| spl56_301
| ~ spl56_18
| spl56_160 ),
inference(avatar_split_clause,[],[f3778,f2346,f677,f3802,f3798]) ).
fof(f3798,plain,
( spl56_300
<=> sK15(sK40) = cons(sK29(sK15(sK40)),sK28(sK15(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_300])]) ).
fof(f3778,plain,
( ~ ssList(sK40)
| nil = sK15(sK40)
| sK15(sK40) = cons(sK29(sK15(sK40)),sK28(sK15(sK40)))
| spl56_160 ),
inference(resolution,[],[f883,f2348]) ).
fof(f883,plain,
! [X5] :
( strictorderedP(X5)
| ~ ssList(X5)
| cons(sK29(sK15(X5)),sK28(sK15(X5))) = sK15(X5)
| nil = sK15(X5) ),
inference(resolution,[],[f410,f377]) ).
fof(f377,plain,
! [X0] :
( ssList(sK15(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f3796,plain,
( spl56_298
| spl56_299
| ~ spl56_183
| spl56_182 ),
inference(avatar_split_clause,[],[f3776,f2618,f2622,f3793,f3789]) ).
fof(f3793,plain,
( spl56_299
<=> cons(sK29(sK15(app(sK39,sK40))),sK28(sK15(app(sK39,sK40)))) = sK15(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_299])]) ).
fof(f3776,plain,
( ~ ssList(app(sK39,sK40))
| cons(sK29(sK15(app(sK39,sK40))),sK28(sK15(app(sK39,sK40)))) = sK15(app(sK39,sK40))
| nil = sK15(app(sK39,sK40))
| spl56_182 ),
inference(resolution,[],[f883,f2620]) ).
fof(f3787,plain,
( spl56_296
| spl56_297
| ~ spl56_186
| spl56_185 ),
inference(avatar_split_clause,[],[f3777,f2631,f2635,f3784,f3780]) ).
fof(f3780,plain,
( spl56_296
<=> nil = sK15(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_296])]) ).
fof(f3784,plain,
( spl56_297
<=> cons(sK29(sK15(app(sK39,sK39))),sK28(sK15(app(sK39,sK39)))) = sK15(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_297])]) ).
fof(f3777,plain,
( ~ ssList(app(sK39,sK39))
| cons(sK29(sK15(app(sK39,sK39))),sK28(sK15(app(sK39,sK39)))) = sK15(app(sK39,sK39))
| nil = sK15(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f883,f2633]) ).
fof(f3693,plain,
( ~ spl56_26
| ~ spl56_30
| spl56_295
| ~ spl56_37 ),
inference(avatar_split_clause,[],[f3684,f811,f3690,f750,f725]) ).
fof(f3690,plain,
( spl56_295
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| sK44(sK47) != app(sK44(sK47),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_295])]) ).
fof(f811,plain,
( spl56_37
<=> app(sK44(sK47),nil) = sK44(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_37])]) ).
fof(f3684,plain,
( ! [X1] :
( ~ ssList(X1)
| sK44(sK47) != app(sK44(sK47),X1)
| ~ ssList(sK44(sK47))
| nil = X1
| ~ ssList(nil) )
| ~ spl56_37 ),
inference(superposition,[],[f535,f813]) ).
fof(f813,plain,
( app(sK44(sK47),nil) = sK44(sK47)
| ~ spl56_37 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f535,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,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/benchmark/theBenchmark.p',ax80) ).
fof(f3692,plain,
( ~ spl56_26
| ~ spl56_30
| spl56_295
| ~ spl56_37 ),
inference(avatar_split_clause,[],[f3683,f811,f3690,f750,f725]) ).
fof(f3683,plain,
( ! [X0] :
( ~ ssList(X0)
| sK44(sK47) != app(sK44(sK47),X0)
| ~ ssList(sK44(sK47))
| nil = X0
| ~ ssList(nil) )
| ~ spl56_37 ),
inference(superposition,[],[f535,f813]) ).
fof(f3680,plain,
( ~ spl56_26
| spl56_294
| ~ spl56_30
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f3672,f795,f750,f3677,f725]) ).
fof(f3677,plain,
( spl56_294
<=> ! [X3] :
( ~ ssList(X3)
| sK44(sK47) != app(X3,sK44(sK47))
| nil = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_294])]) ).
fof(f795,plain,
( spl56_36
<=> app(nil,sK44(sK47)) = sK44(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_36])]) ).
fof(f3672,plain,
( ! [X2] :
( ~ ssList(sK44(sK47))
| sK44(sK47) != app(X2,sK44(sK47))
| nil = X2
| ~ ssList(X2)
| ~ ssList(nil) )
| ~ spl56_36 ),
inference(superposition,[],[f518,f797]) ).
fof(f797,plain,
( app(nil,sK44(sK47)) = sK44(sK47)
| ~ spl56_36 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f518,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X2)
| X0 = X2 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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/benchmark/theBenchmark.p',ax79) ).
fof(f3679,plain,
( ~ spl56_30
| ~ spl56_26
| spl56_294
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f3673,f795,f3677,f725,f750]) ).
fof(f3673,plain,
( ! [X3] :
( ~ ssList(X3)
| ~ ssList(nil)
| nil = X3
| ~ ssList(sK44(sK47))
| sK44(sK47) != app(X3,sK44(sK47)) )
| ~ spl56_36 ),
inference(superposition,[],[f518,f797]) ).
fof(f3616,plain,
( spl56_293
| ~ spl56_274
| ~ spl56_50
| ~ spl56_273 ),
inference(avatar_split_clause,[],[f3606,f3381,f959,f3385,f3614]) ).
fof(f3614,plain,
( spl56_293
<=> ! [X6] :
( ~ ssItem(X6)
| leq(X6,hd(sK28(sK47)))
| ~ leq(X6,sK29(sK47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_293])]) ).
fof(f3385,plain,
( spl56_274
<=> ssItem(hd(sK28(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_274])]) ).
fof(f959,plain,
( spl56_50
<=> ssItem(sK29(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_50])]) ).
fof(f3381,plain,
( spl56_273
<=> leq(sK29(sK47),hd(sK28(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_273])]) ).
fof(f3606,plain,
( ! [X6] :
( ~ ssItem(sK29(sK47))
| ~ ssItem(hd(sK28(sK47)))
| ~ ssItem(X6)
| ~ leq(X6,sK29(sK47))
| leq(X6,hd(sK28(sK47))) )
| ~ spl56_273 ),
inference(resolution,[],[f514,f3383]) ).
fof(f3383,plain,
( leq(sK29(sK47),hd(sK28(sK47)))
| ~ spl56_273 ),
inference(avatar_component_clause,[],[f3381]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| leq(X0,X2)
| ~ ssItem(X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) )
| ~ ssItem(X1) ) ),
inference(flattening,[],[f159]) ).
fof(f159,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/benchmark/theBenchmark.p',ax30) ).
fof(f3612,plain,
( ~ spl56_29
| ~ spl56_148
| spl56_292
| ~ spl56_226 ),
inference(avatar_split_clause,[],[f3605,f2996,f3610,f2282,f746]) ).
fof(f3610,plain,
( spl56_292
<=> ! [X5] :
( ~ ssItem(X5)
| leq(X5,sK43(sK47))
| ~ leq(X5,sK29(sK39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_292])]) ).
fof(f3605,plain,
( ! [X5] :
( ~ ssItem(X5)
| ~ leq(X5,sK29(sK39))
| ~ ssItem(sK29(sK39))
| ~ ssItem(sK43(sK47))
| leq(X5,sK43(sK47)) )
| ~ spl56_226 ),
inference(resolution,[],[f514,f2998]) ).
fof(f3598,plain,
( ~ spl56_50
| ~ spl56_274
| ~ spl56_290
| spl56_291
| ~ spl56_273 ),
inference(avatar_split_clause,[],[f3588,f3381,f3595,f3591,f3385,f959]) ).
fof(f3591,plain,
( spl56_290
<=> leq(hd(sK28(sK47)),sK29(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_290])]) ).
fof(f3595,plain,
( spl56_291
<=> sK29(sK47) = hd(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_291])]) ).
fof(f3588,plain,
( sK29(sK47) = hd(sK28(sK47))
| ~ leq(hd(sK28(sK47)),sK29(sK47))
| ~ ssItem(hd(sK28(sK47)))
| ~ ssItem(sK29(sK47))
| ~ spl56_273 ),
inference(resolution,[],[f3383,f529]) ).
fof(f529,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ leq(X0,X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,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/benchmark/theBenchmark.p',ax29) ).
fof(f3530,plain,
( ~ spl56_288
| ~ spl56_29
| ~ spl56_148
| spl56_289
| ~ spl56_226 ),
inference(avatar_split_clause,[],[f3519,f2996,f3527,f2282,f746,f3523]) ).
fof(f3523,plain,
( spl56_288
<=> leq(sK43(sK47),sK29(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_288])]) ).
fof(f3519,plain,
( sK29(sK39) = sK43(sK47)
| ~ ssItem(sK29(sK39))
| ~ ssItem(sK43(sK47))
| ~ leq(sK43(sK47),sK29(sK39))
| ~ spl56_226 ),
inference(resolution,[],[f529,f2998]) ).
fof(f3515,plain,
( ~ spl56_286
| spl56_161
| spl56_287
| ~ spl56_158
| ~ spl56_157
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f3496,f917,f2333,f2337,f3512,f2350,f3508]) ).
fof(f3508,plain,
( spl56_286
<=> totalorderedP(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_286])]) ).
fof(f3512,plain,
( spl56_287
<=> totalorderedP(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_287])]) ).
fof(f2333,plain,
( spl56_157
<=> ssItem(sK29(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_157])]) ).
fof(f917,plain,
( spl56_49
<=> sK40 = cons(sK29(sK40),sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_49])]) ).
fof(f3496,plain,
( ~ ssItem(sK29(sK40))
| ~ ssList(sK28(sK40))
| totalorderedP(sK28(sK40))
| nil = sK28(sK40)
| ~ totalorderedP(sK40)
| ~ spl56_49 ),
inference(superposition,[],[f468,f919]) ).
fof(f919,plain,
( sK40 = cons(sK29(sK40),sK28(sK40))
| ~ spl56_49 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f468,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1 ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = X1
| ( leq(X0,hd(X1))
& nil != X1
& totalorderedP(X1) )
| ~ totalorderedP(cons(X0,X1)) )
& ( totalorderedP(cons(X0,X1))
| ( nil != X1
& ( ~ leq(X0,hd(X1))
| nil = X1
| ~ totalorderedP(X1) ) ) ) ) ) ),
inference(flattening,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = X1
| ( leq(X0,hd(X1))
& nil != X1
& totalorderedP(X1) )
| ~ totalorderedP(cons(X0,X1)) )
& ( totalorderedP(cons(X0,X1))
| ( nil != X1
& ( ~ leq(X0,hd(X1))
| nil = X1
| ~ totalorderedP(X1) ) ) ) ) ) ),
inference(nnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = X1
| ( leq(X0,hd(X1))
& nil != X1
& totalorderedP(X1) ) )
<=> totalorderedP(cons(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X1
| ( leq(X0,hd(X1))
& nil != X1
& totalorderedP(X1) ) )
<=> totalorderedP(cons(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f3506,plain,
( ~ spl56_284
| spl56_285
| spl56_54
| ~ spl56_50
| ~ spl56_52
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f3495,f907,f967,f959,f985,f3503,f3499]) ).
fof(f3499,plain,
( spl56_284
<=> totalorderedP(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_284])]) ).
fof(f3503,plain,
( spl56_285
<=> totalorderedP(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_285])]) ).
fof(f907,plain,
( spl56_47
<=> cons(sK29(sK47),sK28(sK47)) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_47])]) ).
fof(f3495,plain,
( ~ ssList(sK28(sK47))
| ~ ssItem(sK29(sK47))
| nil = sK28(sK47)
| totalorderedP(sK28(sK47))
| ~ totalorderedP(sK47)
| ~ spl56_47 ),
inference(superposition,[],[f468,f909]) ).
fof(f909,plain,
( cons(sK29(sK47),sK28(sK47)) = sK47
| ~ spl56_47 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f3458,plain,
( spl56_283
| spl56_161
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f3420,f2337,f2350,f3455]) ).
fof(f3455,plain,
( spl56_283
<=> app(nil,sK28(sK28(sK40))) = sK28(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_283])]) ).
fof(f3420,plain,
( nil = sK28(sK40)
| app(nil,sK28(sK28(sK40))) = sK28(sK28(sK40))
| ~ spl56_158 ),
inference(resolution,[],[f847,f2338]) ).
fof(f3453,plain,
( spl56_282
| spl56_44
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f3424,f750,f894,f3450]) ).
fof(f3450,plain,
( spl56_282
<=> app(nil,sK28(sK44(sK47))) = sK28(sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_282])]) ).
fof(f3424,plain,
( nil = sK44(sK47)
| app(nil,sK28(sK44(sK47))) = sK28(sK44(sK47))
| ~ spl56_30 ),
inference(resolution,[],[f847,f751]) ).
fof(f3447,plain,
( spl56_54
| spl56_281
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f3421,f967,f3444,f985]) ).
fof(f3444,plain,
( spl56_281
<=> app(nil,sK28(sK28(sK47))) = sK28(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_281])]) ).
fof(f3421,plain,
( app(nil,sK28(sK28(sK47))) = sK28(sK28(sK47))
| nil = sK28(sK47)
| ~ spl56_52 ),
inference(resolution,[],[f847,f968]) ).
fof(f3442,plain,
( spl56_280
| spl56_205
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3414,f2635,f2794,f3439]) ).
fof(f3439,plain,
( spl56_280
<=> app(nil,sK28(app(sK39,sK39))) = sK28(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_280])]) ).
fof(f3414,plain,
( nil = app(sK39,sK39)
| app(nil,sK28(app(sK39,sK39))) = sK28(app(sK39,sK39))
| ~ spl56_186 ),
inference(resolution,[],[f847,f2636]) ).
fof(f3437,plain,
( spl56_279
| spl56_192
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3413,f2622,f2682,f3434]) ).
fof(f3434,plain,
( spl56_279
<=> app(nil,sK28(app(sK39,sK40))) = sK28(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_279])]) ).
fof(f3413,plain,
( nil = app(sK39,sK40)
| app(nil,sK28(app(sK39,sK40))) = sK28(app(sK39,sK40))
| ~ spl56_183 ),
inference(resolution,[],[f847,f2623]) ).
fof(f3432,plain,
( spl56_60
| spl56_278
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3406,f1017,f3429,f1022]) ).
fof(f3429,plain,
( spl56_278
<=> app(nil,sK28(cons(sK43(sK47),nil))) = sK28(cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_278])]) ).
fof(f3406,plain,
( app(nil,sK28(cons(sK43(sK47),nil))) = sK28(cons(sK43(sK47),nil))
| nil = cons(sK43(sK47),nil)
| ~ spl56_59 ),
inference(resolution,[],[f847,f1018]) ).
fof(f3404,plain,
( spl56_54
| ~ spl56_52
| spl56_274 ),
inference(avatar_split_clause,[],[f3403,f3385,f967,f985]) ).
fof(f3403,plain,
( ~ ssList(sK28(sK47))
| nil = sK28(sK47)
| spl56_274 ),
inference(resolution,[],[f3387,f427]) ).
fof(f427,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(flattening,[],[f208]) ).
fof(f208,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/benchmark/theBenchmark.p',ax22) ).
fof(f3387,plain,
( ~ ssItem(hd(sK28(sK47)))
| spl56_274 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f3401,plain,
( ~ spl56_50
| ~ spl56_274
| spl56_277
| ~ spl56_76 ),
inference(avatar_split_clause,[],[f3376,f1182,f3399,f3385,f959]) ).
fof(f3399,plain,
( spl56_277
<=> ! [X0] :
( ~ ssItem(X0)
| lt(X0,hd(sK28(sK47)))
| ~ leq(X0,sK29(sK47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_277])]) ).
fof(f1182,plain,
( spl56_76
<=> lt(sK29(sK47),hd(sK28(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_76])]) ).
fof(f3376,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(hd(sK28(sK47)))
| ~ ssItem(sK29(sK47))
| ~ leq(X0,sK29(sK47))
| lt(X0,hd(sK28(sK47))) )
| ~ spl56_76 ),
inference(resolution,[],[f1184,f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ lt(X1,X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,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/benchmark/theBenchmark.p',ax91) ).
fof(f1184,plain,
( lt(sK29(sK47),hd(sK28(sK47)))
| ~ spl56_76 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f3397,plain,
( ~ spl56_276
| ~ spl56_274
| ~ spl56_50
| ~ spl56_76 ),
inference(avatar_split_clause,[],[f3378,f1182,f959,f3385,f3394]) ).
fof(f3394,plain,
( spl56_276
<=> lt(hd(sK28(sK47)),sK29(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_276])]) ).
fof(f3378,plain,
( ~ ssItem(sK29(sK47))
| ~ ssItem(hd(sK28(sK47)))
| ~ lt(hd(sK28(sK47)),sK29(sK47))
| ~ spl56_76 ),
inference(resolution,[],[f1184,f465]) ).
fof(f465,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(flattening,[],[f202]) ).
fof(f202,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/benchmark/theBenchmark.p',ax33) ).
fof(f3392,plain,
( ~ spl56_50
| spl56_275
| ~ spl56_274
| ~ spl56_76 ),
inference(avatar_split_clause,[],[f3377,f1182,f3385,f3390,f959]) ).
fof(f3390,plain,
( spl56_275
<=> ! [X1] :
( ~ ssItem(X1)
| lt(sK29(sK47),X1)
| ~ lt(hd(sK28(sK47)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_275])]) ).
fof(f3377,plain,
( ! [X1] :
( ~ ssItem(hd(sK28(sK47)))
| ~ ssItem(X1)
| ~ lt(hd(sK28(sK47)),X1)
| lt(sK29(sK47),X1)
| ~ ssItem(sK29(sK47)) )
| ~ spl56_76 ),
inference(resolution,[],[f1184,f422]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ lt(X0,X1)
| lt(X0,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
inference(flattening,[],[f170]) ).
fof(f170,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/benchmark/theBenchmark.p',ax34) ).
fof(f3388,plain,
( spl56_273
| ~ spl56_274
| ~ spl56_50
| ~ spl56_76 ),
inference(avatar_split_clause,[],[f3379,f1182,f959,f3385,f3381]) ).
fof(f3379,plain,
( ~ ssItem(sK29(sK47))
| ~ ssItem(hd(sK28(sK47)))
| leq(sK29(sK47),hd(sK28(sK47)))
| ~ spl56_76 ),
inference(resolution,[],[f1184,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| leq(X0,X1)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) ) )
| ~ ssItem(X0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) ) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f3373,plain,
( spl56_272
| spl56_44
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f3339,f750,f894,f3370]) ).
fof(f3370,plain,
( spl56_272
<=> app(sK28(sK44(sK47)),nil) = sK28(sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_272])]) ).
fof(f3339,plain,
( nil = sK44(sK47)
| app(sK28(sK44(sK47)),nil) = sK28(sK44(sK47))
| ~ spl56_30 ),
inference(resolution,[],[f846,f751]) ).
fof(f3368,plain,
( spl56_205
| spl56_271
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3329,f2635,f3365,f2794]) ).
fof(f3365,plain,
( spl56_271
<=> sK28(app(sK39,sK39)) = app(sK28(app(sK39,sK39)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_271])]) ).
fof(f3329,plain,
( sK28(app(sK39,sK39)) = app(sK28(app(sK39,sK39)),nil)
| nil = app(sK39,sK39)
| ~ spl56_186 ),
inference(resolution,[],[f846,f2636]) ).
fof(f3362,plain,
( spl56_192
| spl56_270
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3328,f2622,f3359,f2682]) ).
fof(f3359,plain,
( spl56_270
<=> app(sK28(app(sK39,sK40)),nil) = sK28(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_270])]) ).
fof(f3328,plain,
( app(sK28(app(sK39,sK40)),nil) = sK28(app(sK39,sK40))
| nil = app(sK39,sK40)
| ~ spl56_183 ),
inference(resolution,[],[f846,f2623]) ).
fof(f3357,plain,
( spl56_269
| spl56_60
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3321,f1017,f1022,f3354]) ).
fof(f3354,plain,
( spl56_269
<=> app(sK28(cons(sK43(sK47),nil)),nil) = sK28(cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_269])]) ).
fof(f3321,plain,
( nil = cons(sK43(sK47),nil)
| app(sK28(cons(sK43(sK47),nil)),nil) = sK28(cons(sK43(sK47),nil))
| ~ spl56_59 ),
inference(resolution,[],[f846,f1018]) ).
fof(f3352,plain,
( spl56_268
| spl56_161
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f3335,f2337,f2350,f3349]) ).
fof(f3349,plain,
( spl56_268
<=> app(sK28(sK28(sK40)),nil) = sK28(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_268])]) ).
fof(f3335,plain,
( nil = sK28(sK40)
| app(sK28(sK28(sK40)),nil) = sK28(sK28(sK40))
| ~ spl56_158 ),
inference(resolution,[],[f846,f2338]) ).
fof(f3347,plain,
( spl56_267
| spl56_54
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f3336,f967,f985,f3344]) ).
fof(f3344,plain,
( spl56_267
<=> app(sK28(sK28(sK47)),nil) = sK28(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_267])]) ).
fof(f3336,plain,
( nil = sK28(sK47)
| app(sK28(sK28(sK47)),nil) = sK28(sK28(sK47))
| ~ spl56_52 ),
inference(resolution,[],[f846,f968]) ).
fof(f3319,plain,
( spl56_60
| spl56_266
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3252,f1017,f3316,f1022]) ).
fof(f3316,plain,
( spl56_266
<=> cons(sK43(sK47),nil) = cons(hd(cons(sK43(sK47),nil)),tl(cons(sK43(sK47),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_266])]) ).
fof(f3252,plain,
( cons(sK43(sK47),nil) = cons(hd(cons(sK43(sK47),nil)),tl(cons(sK43(sK47),nil)))
| nil = cons(sK43(sK47),nil)
| ~ spl56_59 ),
inference(resolution,[],[f508,f1018]) ).
fof(f3314,plain,
( spl56_3
| spl56_265
| ~ spl56_18 ),
inference(avatar_split_clause,[],[f3269,f677,f3311,f605]) ).
fof(f605,plain,
( spl56_3
<=> nil = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_3])]) ).
fof(f3311,plain,
( spl56_265
<=> sK40 = cons(hd(sK40),tl(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_265])]) ).
fof(f3269,plain,
( sK40 = cons(hd(sK40),tl(sK40))
| nil = sK40
| ~ spl56_18 ),
inference(resolution,[],[f508,f679]) ).
fof(f679,plain,
( ssList(sK40)
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f3309,plain,
( spl56_7
| spl56_264
| ~ spl56_16 ),
inference(avatar_split_clause,[],[f3268,f667,f3306,f624]) ).
fof(f624,plain,
( spl56_7
<=> nil = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_7])]) ).
fof(f3306,plain,
( spl56_264
<=> cons(hd(sK39),tl(sK39)) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_264])]) ).
fof(f667,plain,
( spl56_16
<=> ssList(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_16])]) ).
fof(f3268,plain,
( cons(hd(sK39),tl(sK39)) = sK39
| nil = sK39
| ~ spl56_16 ),
inference(resolution,[],[f508,f669]) ).
fof(f669,plain,
( ssList(sK39)
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f3304,plain,
( spl56_44
| spl56_263
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f3270,f750,f3301,f894]) ).
fof(f3301,plain,
( spl56_263
<=> cons(hd(sK44(sK47)),tl(sK44(sK47))) = sK44(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_263])]) ).
fof(f3270,plain,
( cons(hd(sK44(sK47)),tl(sK44(sK47))) = sK44(sK47)
| nil = sK44(sK47)
| ~ spl56_30 ),
inference(resolution,[],[f508,f751]) ).
fof(f3299,plain,
( spl56_262
| spl56_46
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f3273,f657,f903,f3296]) ).
fof(f3296,plain,
( spl56_262
<=> cons(hd(sK47),tl(sK47)) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_262])]) ).
fof(f903,plain,
( spl56_46
<=> nil = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_46])]) ).
fof(f3273,plain,
( nil = sK47
| cons(hd(sK47),tl(sK47)) = sK47
| ~ spl56_14 ),
inference(resolution,[],[f508,f659]) ).
fof(f659,plain,
( ssList(sK47)
| ~ spl56_14 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f3293,plain,
( spl56_261
| spl56_205
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3260,f2635,f2794,f3290]) ).
fof(f3290,plain,
( spl56_261
<=> cons(hd(app(sK39,sK39)),tl(app(sK39,sK39))) = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_261])]) ).
fof(f3260,plain,
( nil = app(sK39,sK39)
| cons(hd(app(sK39,sK39)),tl(app(sK39,sK39))) = app(sK39,sK39)
| ~ spl56_186 ),
inference(resolution,[],[f508,f2636]) ).
fof(f3288,plain,
( spl56_54
| spl56_260
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f3267,f967,f3285,f985]) ).
fof(f3285,plain,
( spl56_260
<=> cons(hd(sK28(sK47)),tl(sK28(sK47))) = sK28(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_260])]) ).
fof(f3267,plain,
( cons(hd(sK28(sK47)),tl(sK28(sK47))) = sK28(sK47)
| nil = sK28(sK47)
| ~ spl56_52 ),
inference(resolution,[],[f508,f968]) ).
fof(f3283,plain,
( spl56_259
| spl56_161
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f3266,f2337,f2350,f3280]) ).
fof(f3280,plain,
( spl56_259
<=> sK28(sK40) = cons(hd(sK28(sK40)),tl(sK28(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_259])]) ).
fof(f3266,plain,
( nil = sK28(sK40)
| sK28(sK40) = cons(hd(sK28(sK40)),tl(sK28(sK40)))
| ~ spl56_158 ),
inference(resolution,[],[f508,f2338]) ).
fof(f3278,plain,
( spl56_258
| spl56_192
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3259,f2622,f2682,f3275]) ).
fof(f3275,plain,
( spl56_258
<=> cons(hd(app(sK39,sK40)),tl(app(sK39,sK40))) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_258])]) ).
fof(f3259,plain,
( nil = app(sK39,sK40)
| cons(hd(app(sK39,sK40)),tl(app(sK39,sK40))) = app(sK39,sK40)
| ~ spl56_183 ),
inference(resolution,[],[f508,f2623]) ).
fof(f3250,plain,
( spl56_257
| ~ spl56_25
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3180,f2622,f719,f3247]) ).
fof(f3247,plain,
( spl56_257
<=> app(cons(sK10,nil),app(sK39,sK40)) = cons(sK10,app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_257])]) ).
fof(f3180,plain,
( app(cons(sK10,nil),app(sK39,sK40)) = cons(sK10,app(sK39,sK40))
| ~ spl56_25
| ~ spl56_183 ),
inference(resolution,[],[f946,f2623]) ).
fof(f3245,plain,
( spl56_256
| ~ spl56_25
| ~ spl56_26 ),
inference(avatar_split_clause,[],[f3182,f725,f719,f3242]) ).
fof(f3242,plain,
( spl56_256
<=> cons(sK10,nil) = app(cons(sK10,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_256])]) ).
fof(f3182,plain,
( cons(sK10,nil) = app(cons(sK10,nil),nil)
| ~ spl56_25
| ~ spl56_26 ),
inference(resolution,[],[f946,f727]) ).
fof(f727,plain,
( ssList(nil)
| ~ spl56_26 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f3240,plain,
( spl56_255
| ~ spl56_25
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f3192,f750,f719,f3237]) ).
fof(f3237,plain,
( spl56_255
<=> app(cons(sK10,nil),sK44(sK47)) = cons(sK10,sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_255])]) ).
fof(f3192,plain,
( app(cons(sK10,nil),sK44(sK47)) = cons(sK10,sK44(sK47))
| ~ spl56_25
| ~ spl56_30 ),
inference(resolution,[],[f946,f751]) ).
fof(f3235,plain,
( spl56_254
| ~ spl56_25
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3181,f2635,f719,f3232]) ).
fof(f3232,plain,
( spl56_254
<=> app(cons(sK10,nil),app(sK39,sK39)) = cons(sK10,app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_254])]) ).
fof(f3181,plain,
( app(cons(sK10,nil),app(sK39,sK39)) = cons(sK10,app(sK39,sK39))
| ~ spl56_25
| ~ spl56_186 ),
inference(resolution,[],[f946,f2636]) ).
fof(f3230,plain,
( spl56_253
| ~ spl56_25
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f3188,f2337,f719,f3227]) ).
fof(f3227,plain,
( spl56_253
<=> cons(sK10,sK28(sK40)) = app(cons(sK10,nil),sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_253])]) ).
fof(f3188,plain,
( cons(sK10,sK28(sK40)) = app(cons(sK10,nil),sK28(sK40))
| ~ spl56_25
| ~ spl56_158 ),
inference(resolution,[],[f946,f2338]) ).
fof(f3225,plain,
( spl56_252
| ~ spl56_14
| ~ spl56_25 ),
inference(avatar_split_clause,[],[f3195,f719,f657,f3222]) ).
fof(f3222,plain,
( spl56_252
<=> app(cons(sK10,nil),sK47) = cons(sK10,sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_252])]) ).
fof(f3195,plain,
( app(cons(sK10,nil),sK47) = cons(sK10,sK47)
| ~ spl56_14
| ~ spl56_25 ),
inference(resolution,[],[f946,f659]) ).
fof(f3220,plain,
( spl56_251
| ~ spl56_16
| ~ spl56_25 ),
inference(avatar_split_clause,[],[f3190,f719,f667,f3217]) ).
fof(f3217,plain,
( spl56_251
<=> cons(sK10,sK39) = app(cons(sK10,nil),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_251])]) ).
fof(f3190,plain,
( cons(sK10,sK39) = app(cons(sK10,nil),sK39)
| ~ spl56_16
| ~ spl56_25 ),
inference(resolution,[],[f946,f669]) ).
fof(f3215,plain,
( spl56_250
| ~ spl56_25
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3173,f1017,f719,f3212]) ).
fof(f3212,plain,
( spl56_250
<=> cons(sK10,cons(sK43(sK47),nil)) = app(cons(sK10,nil),cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_250])]) ).
fof(f3173,plain,
( cons(sK10,cons(sK43(sK47),nil)) = app(cons(sK10,nil),cons(sK43(sK47),nil))
| ~ spl56_25
| ~ spl56_59 ),
inference(resolution,[],[f946,f1018]) ).
fof(f3210,plain,
( spl56_249
| ~ spl56_25
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f3189,f967,f719,f3207]) ).
fof(f3207,plain,
( spl56_249
<=> cons(sK10,sK28(sK47)) = app(cons(sK10,nil),sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_249])]) ).
fof(f3189,plain,
( cons(sK10,sK28(sK47)) = app(cons(sK10,nil),sK28(sK47))
| ~ spl56_25
| ~ spl56_52 ),
inference(resolution,[],[f946,f968]) ).
fof(f3205,plain,
( spl56_248
| ~ spl56_18
| ~ spl56_25 ),
inference(avatar_split_clause,[],[f3191,f719,f677,f3202]) ).
fof(f3202,plain,
( spl56_248
<=> app(cons(sK10,nil),sK40) = cons(sK10,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_248])]) ).
fof(f3191,plain,
( app(cons(sK10,nil),sK40) = cons(sK10,sK40)
| ~ spl56_18
| ~ spl56_25 ),
inference(resolution,[],[f946,f679]) ).
fof(f3200,plain,
( spl56_247
| ~ spl56_25
| ~ spl56_63 ),
inference(avatar_split_clause,[],[f3187,f1072,f719,f3197]) ).
fof(f3197,plain,
( spl56_247
<=> cons(sK10,sK28(nil)) = app(cons(sK10,nil),sK28(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_247])]) ).
fof(f1072,plain,
( spl56_63
<=> ssList(sK28(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_63])]) ).
fof(f3187,plain,
( cons(sK10,sK28(nil)) = app(cons(sK10,nil),sK28(nil))
| ~ spl56_25
| ~ spl56_63 ),
inference(resolution,[],[f946,f1073]) ).
fof(f1073,plain,
( ssList(sK28(nil))
| ~ spl56_63 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f3171,plain,
( spl56_246
| ~ spl56_19
| ~ spl56_26 ),
inference(avatar_split_clause,[],[f3103,f725,f682,f3168]) ).
fof(f3168,plain,
( spl56_246
<=> cons(sK9,nil) = app(cons(sK9,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_246])]) ).
fof(f3103,plain,
( cons(sK9,nil) = app(cons(sK9,nil),nil)
| ~ spl56_19
| ~ spl56_26 ),
inference(resolution,[],[f945,f727]) ).
fof(f3166,plain,
( spl56_245
| ~ spl56_19
| ~ spl56_63 ),
inference(avatar_split_clause,[],[f3108,f1072,f682,f3163]) ).
fof(f3163,plain,
( spl56_245
<=> cons(sK9,sK28(nil)) = app(cons(sK9,nil),sK28(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_245])]) ).
fof(f3108,plain,
( cons(sK9,sK28(nil)) = app(cons(sK9,nil),sK28(nil))
| ~ spl56_19
| ~ spl56_63 ),
inference(resolution,[],[f945,f1073]) ).
fof(f3161,plain,
( spl56_244
| ~ spl56_19
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f3110,f967,f682,f3158]) ).
fof(f3158,plain,
( spl56_244
<=> app(cons(sK9,nil),sK28(sK47)) = cons(sK9,sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_244])]) ).
fof(f3110,plain,
( app(cons(sK9,nil),sK28(sK47)) = cons(sK9,sK28(sK47))
| ~ spl56_19
| ~ spl56_52 ),
inference(resolution,[],[f945,f968]) ).
fof(f3156,plain,
( spl56_243
| ~ spl56_19
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f3113,f750,f682,f3153]) ).
fof(f3153,plain,
( spl56_243
<=> app(cons(sK9,nil),sK44(sK47)) = cons(sK9,sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_243])]) ).
fof(f3113,plain,
( app(cons(sK9,nil),sK44(sK47)) = cons(sK9,sK44(sK47))
| ~ spl56_19
| ~ spl56_30 ),
inference(resolution,[],[f945,f751]) ).
fof(f3151,plain,
( spl56_242
| ~ spl56_19
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f3094,f1017,f682,f3148]) ).
fof(f3148,plain,
( spl56_242
<=> app(cons(sK9,nil),cons(sK43(sK47),nil)) = cons(sK9,cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_242])]) ).
fof(f3094,plain,
( app(cons(sK9,nil),cons(sK43(sK47),nil)) = cons(sK9,cons(sK43(sK47),nil))
| ~ spl56_19
| ~ spl56_59 ),
inference(resolution,[],[f945,f1018]) ).
fof(f3146,plain,
( spl56_241
| ~ spl56_19
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f3109,f2337,f682,f3143]) ).
fof(f3143,plain,
( spl56_241
<=> app(cons(sK9,nil),sK28(sK40)) = cons(sK9,sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_241])]) ).
fof(f3109,plain,
( app(cons(sK9,nil),sK28(sK40)) = cons(sK9,sK28(sK40))
| ~ spl56_19
| ~ spl56_158 ),
inference(resolution,[],[f945,f2338]) ).
fof(f3141,plain,
( spl56_240
| ~ spl56_16
| ~ spl56_19 ),
inference(avatar_split_clause,[],[f3111,f682,f667,f3138]) ).
fof(f3138,plain,
( spl56_240
<=> cons(sK9,sK39) = app(cons(sK9,nil),sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_240])]) ).
fof(f3111,plain,
( cons(sK9,sK39) = app(cons(sK9,nil),sK39)
| ~ spl56_16
| ~ spl56_19 ),
inference(resolution,[],[f945,f669]) ).
fof(f3136,plain,
( spl56_239
| ~ spl56_18
| ~ spl56_19 ),
inference(avatar_split_clause,[],[f3112,f682,f677,f3133]) ).
fof(f3133,plain,
( spl56_239
<=> app(cons(sK9,nil),sK40) = cons(sK9,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_239])]) ).
fof(f3112,plain,
( app(cons(sK9,nil),sK40) = cons(sK9,sK40)
| ~ spl56_18
| ~ spl56_19 ),
inference(resolution,[],[f945,f679]) ).
fof(f3131,plain,
( spl56_238
| ~ spl56_19
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f3102,f2635,f682,f3128]) ).
fof(f3128,plain,
( spl56_238
<=> cons(sK9,app(sK39,sK39)) = app(cons(sK9,nil),app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_238])]) ).
fof(f3102,plain,
( cons(sK9,app(sK39,sK39)) = app(cons(sK9,nil),app(sK39,sK39))
| ~ spl56_19
| ~ spl56_186 ),
inference(resolution,[],[f945,f2636]) ).
fof(f3126,plain,
( spl56_237
| ~ spl56_19
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f3101,f2622,f682,f3123]) ).
fof(f3123,plain,
( spl56_237
<=> app(cons(sK9,nil),app(sK39,sK40)) = cons(sK9,app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_237])]) ).
fof(f3101,plain,
( app(cons(sK9,nil),app(sK39,sK40)) = cons(sK9,app(sK39,sK40))
| ~ spl56_19
| ~ spl56_183 ),
inference(resolution,[],[f945,f2623]) ).
fof(f3121,plain,
( spl56_236
| ~ spl56_14
| ~ spl56_19 ),
inference(avatar_split_clause,[],[f3116,f682,f657,f3118]) ).
fof(f3118,plain,
( spl56_236
<=> cons(sK9,sK47) = app(cons(sK9,nil),sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_236])]) ).
fof(f3116,plain,
( cons(sK9,sK47) = app(cons(sK9,nil),sK47)
| ~ spl56_14
| ~ spl56_19 ),
inference(resolution,[],[f945,f659]) ).
fof(f3061,plain,
( ~ spl56_18
| spl56_235
| spl56_160 ),
inference(avatar_split_clause,[],[f3046,f2346,f3058,f677]) ).
fof(f3058,plain,
( spl56_235
<=> app(sK17(sK40),nil) = sK17(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_235])]) ).
fof(f3046,plain,
( app(sK17(sK40),nil) = sK17(sK40)
| ~ ssList(sK40)
| spl56_160 ),
inference(resolution,[],[f803,f2348]) ).
fof(f803,plain,
! [X2] :
( strictorderedP(X2)
| ~ ssList(X2)
| app(sK17(X2),nil) = sK17(X2) ),
inference(resolution,[],[f407,f380]) ).
fof(f3056,plain,
( ~ spl56_186
| spl56_234
| spl56_185 ),
inference(avatar_split_clause,[],[f3045,f2631,f3053,f2635]) ).
fof(f3053,plain,
( spl56_234
<=> app(sK17(app(sK39,sK39)),nil) = sK17(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_234])]) ).
fof(f3045,plain,
( app(sK17(app(sK39,sK39)),nil) = sK17(app(sK39,sK39))
| ~ ssList(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f803,f2633]) ).
fof(f3051,plain,
( ~ spl56_183
| spl56_233
| spl56_182 ),
inference(avatar_split_clause,[],[f3044,f2618,f3048,f2622]) ).
fof(f3048,plain,
( spl56_233
<=> app(sK17(app(sK39,sK40)),nil) = sK17(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_233])]) ).
fof(f3044,plain,
( app(sK17(app(sK39,sK40)),nil) = sK17(app(sK39,sK40))
| ~ ssList(app(sK39,sK40))
| spl56_182 ),
inference(resolution,[],[f803,f2620]) ).
fof(f3041,plain,
( spl56_232
| ~ spl56_186
| spl56_185 ),
inference(avatar_split_clause,[],[f3025,f2631,f2635,f3038]) ).
fof(f3038,plain,
( spl56_232
<=> sK16(app(sK39,sK39)) = app(sK16(app(sK39,sK39)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_232])]) ).
fof(f3025,plain,
( ~ ssList(app(sK39,sK39))
| sK16(app(sK39,sK39)) = app(sK16(app(sK39,sK39)),nil)
| spl56_185 ),
inference(resolution,[],[f802,f2633]) ).
fof(f802,plain,
! [X1] :
( strictorderedP(X1)
| sK16(X1) = app(sK16(X1),nil)
| ~ ssList(X1) ),
inference(resolution,[],[f407,f381]) ).
fof(f3036,plain,
( ~ spl56_18
| spl56_231
| spl56_160 ),
inference(avatar_split_clause,[],[f3026,f2346,f3033,f677]) ).
fof(f3033,plain,
( spl56_231
<=> sK16(sK40) = app(sK16(sK40),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_231])]) ).
fof(f3026,plain,
( sK16(sK40) = app(sK16(sK40),nil)
| ~ ssList(sK40)
| spl56_160 ),
inference(resolution,[],[f802,f2348]) ).
fof(f3031,plain,
( spl56_230
| ~ spl56_183
| spl56_182 ),
inference(avatar_split_clause,[],[f3024,f2618,f2622,f3028]) ).
fof(f3028,plain,
( spl56_230
<=> app(sK16(app(sK39,sK40)),nil) = sK16(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_230])]) ).
fof(f3024,plain,
( ~ ssList(app(sK39,sK40))
| app(sK16(app(sK39,sK40)),nil) = sK16(app(sK39,sK40))
| spl56_182 ),
inference(resolution,[],[f802,f2620]) ).
fof(f3021,plain,
( spl56_229
| ~ spl56_29
| ~ spl56_148
| ~ spl56_181 ),
inference(avatar_split_clause,[],[f3015,f2532,f2282,f746,f3019]) ).
fof(f3019,plain,
( spl56_229
<=> ! [X1] :
( ~ lt(sK43(sK47),X1)
| lt(sK29(sK39),X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_229])]) ).
fof(f3015,plain,
( ! [X1] :
( ~ ssItem(sK29(sK39))
| ~ ssItem(sK43(sK47))
| ~ lt(sK43(sK47),X1)
| ~ ssItem(X1)
| lt(sK29(sK39),X1) )
| ~ spl56_181 ),
inference(resolution,[],[f2533,f422]) ).
fof(f2533,plain,
( lt(sK29(sK39),sK43(sK47))
| ~ spl56_181 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f3013,plain,
( spl56_174
| ~ spl56_81
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f2868,f2828,f1279,f2459]) ).
fof(f2459,plain,
( spl56_174
<=> ! [X2,X1] :
( cons(X1,X2) != sK47
| ~ lt(sK29(sK39),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_174])]) ).
fof(f1279,plain,
( spl56_81
<=> ! [X0,X1] :
( cons(X0,X1) != sK47
| ~ lt(sK45(sK47),X0)
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_81])]) ).
fof(f2828,plain,
( spl56_208
<=> sK29(sK39) = sK45(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_208])]) ).
fof(f2868,plain,
( ! [X0,X1] :
( ~ lt(sK29(sK39),X0)
| ~ ssItem(X0)
| cons(X0,X1) != sK47
| ~ ssList(X1) )
| ~ spl56_81
| ~ spl56_208 ),
inference(backward_demodulation,[],[f1280,f2830]) ).
fof(f2830,plain,
( sK29(sK39) = sK45(sK47)
| ~ spl56_208 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f1280,plain,
( ! [X0,X1] :
( ~ lt(sK45(sK47),X0)
| cons(X0,X1) != sK47
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl56_81 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f3012,plain,
( ~ spl56_29
| ~ spl56_14
| ~ spl56_228
| ~ spl56_148
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f3007,f2828,f714,f637,f2282,f3009,f657,f746]) ).
fof(f3009,plain,
( spl56_228
<=> lt(sK43(sK47),sK29(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_228])]) ).
fof(f3007,plain,
( ~ ssItem(sK29(sK39))
| ~ lt(sK43(sK47),sK29(sK39))
| ~ ssList(sK47)
| ~ ssItem(sK43(sK47))
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(trivial_inequality_removal,[],[f3006]) ).
fof(f3006,plain,
( sK40 != sK40
| ~ lt(sK43(sK47),sK29(sK39))
| ~ ssItem(sK43(sK47))
| ~ ssList(sK47)
| ~ ssItem(sK29(sK39))
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(forward_demodulation,[],[f2986,f639]) ).
fof(f2986,plain,
( sK40 != app(sK39,sK47)
| ~ lt(sK43(sK47),sK29(sK39))
| ~ ssItem(sK29(sK39))
| ~ ssItem(sK43(sK47))
| ~ ssList(sK47)
| ~ spl56_24
| ~ spl56_208 ),
inference(superposition,[],[f868,f2830]) ).
fof(f868,plain,
( ! [X0] :
( ~ lt(sK43(X0),sK45(X0))
| ~ ssList(X0)
| ~ ssItem(sK43(X0))
| ~ ssItem(sK45(X0))
| sK40 != app(sK39,X0) )
| ~ spl56_24 ),
inference(resolution,[],[f465,f715]) ).
fof(f3005,plain,
( ~ spl56_14
| ~ spl56_148
| ~ spl56_29
| spl56_227
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f3001,f2828,f714,f637,f3003,f746,f2282,f657]) ).
fof(f3003,plain,
( spl56_227
<=> ! [X0] :
( ~ ssItem(X0)
| lt(X0,sK43(sK47))
| ~ leq(X0,sK29(sK39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_227])]) ).
fof(f3001,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sK43(sK47))
| ~ leq(X0,sK29(sK39))
| ~ ssItem(sK29(sK39))
| lt(X0,sK43(sK47))
| ~ ssList(sK47) )
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(trivial_inequality_removal,[],[f3000]) ).
fof(f3000,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssList(sK47)
| ~ leq(X0,sK29(sK39))
| sK40 != sK40
| lt(X0,sK43(sK47))
| ~ ssItem(sK43(sK47))
| ~ ssItem(sK29(sK39)) )
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(forward_demodulation,[],[f2985,f639]) ).
fof(f2985,plain,
( ! [X0] :
( sK40 != app(sK39,sK47)
| ~ ssItem(X0)
| ~ ssList(sK47)
| lt(X0,sK43(sK47))
| ~ leq(X0,sK29(sK39))
| ~ ssItem(sK43(sK47))
| ~ ssItem(sK29(sK39)) )
| ~ spl56_24
| ~ spl56_208 ),
inference(superposition,[],[f993,f2830]) ).
fof(f993,plain,
( ! [X0,X1] :
( ~ leq(X0,sK45(X1))
| sK40 != app(sK39,X1)
| ~ ssList(X1)
| ~ ssItem(sK45(X1))
| ~ ssItem(X0)
| lt(X0,sK43(X1))
| ~ ssItem(sK43(X1)) )
| ~ spl56_24 ),
inference(resolution,[],[f450,f715]) ).
fof(f2999,plain,
( ~ spl56_29
| spl56_226
| ~ spl56_14
| ~ spl56_148
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f2994,f2828,f714,f637,f2282,f657,f2996,f746]) ).
fof(f2994,plain,
( ~ ssItem(sK29(sK39))
| ~ ssList(sK47)
| leq(sK29(sK39),sK43(sK47))
| ~ ssItem(sK43(sK47))
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(trivial_inequality_removal,[],[f2993]) ).
fof(f2993,plain,
( ~ ssItem(sK43(sK47))
| ~ ssItem(sK29(sK39))
| leq(sK29(sK39),sK43(sK47))
| sK40 != sK40
| ~ ssList(sK47)
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(forward_demodulation,[],[f2987,f639]) ).
fof(f2987,plain,
( ~ ssItem(sK29(sK39))
| ~ ssList(sK47)
| ~ ssItem(sK43(sK47))
| leq(sK29(sK39),sK43(sK47))
| sK40 != app(sK39,sK47)
| ~ spl56_24
| ~ spl56_208 ),
inference(superposition,[],[f863,f2830]) ).
fof(f863,plain,
( ! [X0] :
( leq(sK45(X0),sK43(X0))
| ~ ssItem(sK43(X0))
| sK40 != app(sK39,X0)
| ~ ssList(X0)
| ~ ssItem(sK45(X0)) )
| ~ spl56_24 ),
inference(resolution,[],[f360,f715]) ).
fof(f2992,plain,
( spl56_181
| ~ spl56_14
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f2991,f2828,f714,f637,f657,f2532]) ).
fof(f2991,plain,
( ~ ssList(sK47)
| lt(sK29(sK39),sK43(sK47))
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(trivial_inequality_removal,[],[f2990]) ).
fof(f2990,plain,
( sK40 != sK40
| ~ ssList(sK47)
| lt(sK29(sK39),sK43(sK47))
| ~ spl56_10
| ~ spl56_24
| ~ spl56_208 ),
inference(forward_demodulation,[],[f2988,f639]) ).
fof(f2988,plain,
( lt(sK29(sK39),sK43(sK47))
| ~ ssList(sK47)
| sK40 != app(sK39,sK47)
| ~ spl56_24
| ~ spl56_208 ),
inference(superposition,[],[f715,f2830]) ).
fof(f2983,plain,
( ~ spl56_18
| spl56_225
| spl56_160 ),
inference(avatar_split_clause,[],[f2968,f2346,f2980,f677]) ).
fof(f2980,plain,
( spl56_225
<=> sK15(sK40) = app(sK15(sK40),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_225])]) ).
fof(f2968,plain,
( sK15(sK40) = app(sK15(sK40),nil)
| ~ ssList(sK40)
| spl56_160 ),
inference(resolution,[],[f801,f2348]) ).
fof(f801,plain,
! [X0] :
( strictorderedP(X0)
| app(sK15(X0),nil) = sK15(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f407,f377]) ).
fof(f2978,plain,
( ~ spl56_183
| spl56_224
| spl56_182 ),
inference(avatar_split_clause,[],[f2966,f2618,f2975,f2622]) ).
fof(f2975,plain,
( spl56_224
<=> app(sK15(app(sK39,sK40)),nil) = sK15(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_224])]) ).
fof(f2966,plain,
( app(sK15(app(sK39,sK40)),nil) = sK15(app(sK39,sK40))
| ~ ssList(app(sK39,sK40))
| spl56_182 ),
inference(resolution,[],[f801,f2620]) ).
fof(f2973,plain,
( ~ spl56_186
| spl56_223
| spl56_185 ),
inference(avatar_split_clause,[],[f2967,f2631,f2970,f2635]) ).
fof(f2970,plain,
( spl56_223
<=> sK15(app(sK39,sK39)) = app(sK15(app(sK39,sK39)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_223])]) ).
fof(f2967,plain,
( sK15(app(sK39,sK39)) = app(sK15(app(sK39,sK39)),nil)
| ~ ssList(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f801,f2633]) ).
fof(f2963,plain,
( ~ spl56_186
| spl56_222
| spl56_185 ),
inference(avatar_split_clause,[],[f2947,f2631,f2960,f2635]) ).
fof(f2960,plain,
( spl56_222
<=> app(nil,sK16(app(sK39,sK39))) = sK16(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_222])]) ).
fof(f2947,plain,
( app(nil,sK16(app(sK39,sK39))) = sK16(app(sK39,sK39))
| ~ ssList(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f799,f2633]) ).
fof(f799,plain,
! [X0] :
( strictorderedP(X0)
| sK16(X0) = app(nil,sK16(X0))
| ~ ssList(X0) ),
inference(resolution,[],[f381,f375]) ).
fof(f2958,plain,
( spl56_221
| ~ spl56_18
| spl56_160 ),
inference(avatar_split_clause,[],[f2948,f2346,f677,f2955]) ).
fof(f2955,plain,
( spl56_221
<=> sK16(sK40) = app(nil,sK16(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_221])]) ).
fof(f2948,plain,
( ~ ssList(sK40)
| sK16(sK40) = app(nil,sK16(sK40))
| spl56_160 ),
inference(resolution,[],[f799,f2348]) ).
fof(f2953,plain,
( spl56_220
| ~ spl56_183
| spl56_182 ),
inference(avatar_split_clause,[],[f2946,f2618,f2622,f2950]) ).
fof(f2950,plain,
( spl56_220
<=> sK16(app(sK39,sK40)) = app(nil,sK16(app(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_220])]) ).
fof(f2946,plain,
( ~ ssList(app(sK39,sK40))
| sK16(app(sK39,sK40)) = app(nil,sK16(app(sK39,sK40)))
| spl56_182 ),
inference(resolution,[],[f799,f2620]) ).
fof(f2943,plain,
( ~ spl56_183
| spl56_219
| spl56_182 ),
inference(avatar_split_clause,[],[f2926,f2618,f2940,f2622]) ).
fof(f2940,plain,
( spl56_219
<=> sK17(app(sK39,sK40)) = app(nil,sK17(app(sK39,sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_219])]) ).
fof(f2926,plain,
( sK17(app(sK39,sK40)) = app(nil,sK17(app(sK39,sK40)))
| ~ ssList(app(sK39,sK40))
| spl56_182 ),
inference(resolution,[],[f792,f2620]) ).
fof(f792,plain,
! [X0] :
( strictorderedP(X0)
| ~ ssList(X0)
| sK17(X0) = app(nil,sK17(X0)) ),
inference(resolution,[],[f380,f375]) ).
fof(f2938,plain,
( spl56_218
| ~ spl56_186
| spl56_185 ),
inference(avatar_split_clause,[],[f2927,f2631,f2635,f2935]) ).
fof(f2935,plain,
( spl56_218
<=> app(nil,sK17(app(sK39,sK39))) = sK17(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_218])]) ).
fof(f2927,plain,
( ~ ssList(app(sK39,sK39))
| app(nil,sK17(app(sK39,sK39))) = sK17(app(sK39,sK39))
| spl56_185 ),
inference(resolution,[],[f792,f2633]) ).
fof(f2933,plain,
( spl56_217
| ~ spl56_18
| spl56_160 ),
inference(avatar_split_clause,[],[f2928,f2346,f677,f2930]) ).
fof(f2930,plain,
( spl56_217
<=> app(nil,sK17(sK40)) = sK17(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_217])]) ).
fof(f2928,plain,
( ~ ssList(sK40)
| app(nil,sK17(sK40)) = sK17(sK40)
| spl56_160 ),
inference(resolution,[],[f792,f2348]) ).
fof(f2921,plain,
( ~ spl56_18
| spl56_216
| spl56_160 ),
inference(avatar_split_clause,[],[f2900,f2346,f2918,f677]) ).
fof(f2918,plain,
( spl56_216
<=> sK15(sK40) = app(nil,sK15(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_216])]) ).
fof(f2900,plain,
( sK15(sK40) = app(nil,sK15(sK40))
| ~ ssList(sK40)
| spl56_160 ),
inference(resolution,[],[f787,f2348]) ).
fof(f787,plain,
! [X0] :
( strictorderedP(X0)
| sK15(X0) = app(nil,sK15(X0))
| ~ ssList(X0) ),
inference(resolution,[],[f377,f375]) ).
fof(f2916,plain,
( spl56_215
| ~ spl56_14
| spl56_53 ),
inference(avatar_split_clause,[],[f2901,f981,f657,f2913]) ).
fof(f2913,plain,
( spl56_215
<=> sK15(sK47) = app(nil,sK15(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_215])]) ).
fof(f981,plain,
( spl56_53
<=> strictorderedP(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_53])]) ).
fof(f2901,plain,
( ~ ssList(sK47)
| sK15(sK47) = app(nil,sK15(sK47))
| spl56_53 ),
inference(resolution,[],[f787,f983]) ).
fof(f983,plain,
( ~ strictorderedP(sK47)
| spl56_53 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f2911,plain,
( spl56_214
| ~ spl56_186
| spl56_185 ),
inference(avatar_split_clause,[],[f2899,f2631,f2635,f2908]) ).
fof(f2908,plain,
( spl56_214
<=> sK15(app(sK39,sK39)) = app(nil,sK15(app(sK39,sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_214])]) ).
fof(f2899,plain,
( ~ ssList(app(sK39,sK39))
| sK15(app(sK39,sK39)) = app(nil,sK15(app(sK39,sK39)))
| spl56_185 ),
inference(resolution,[],[f787,f2633]) ).
fof(f2906,plain,
( ~ spl56_183
| spl56_213
| spl56_182 ),
inference(avatar_split_clause,[],[f2898,f2618,f2903,f2622]) ).
fof(f2903,plain,
( spl56_213
<=> app(nil,sK15(app(sK39,sK40))) = sK15(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_213])]) ).
fof(f2898,plain,
( app(nil,sK15(app(sK39,sK40))) = sK15(app(sK39,sK40))
| ~ ssList(app(sK39,sK40))
| spl56_182 ),
inference(resolution,[],[f787,f2620]) ).
fof(f2891,plain,
( ~ spl56_212
| spl56_184
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f2875,f2828,f2626,f2888]) ).
fof(f2888,plain,
( spl56_212
<=> lt(sK29(sK39),sK29(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_212])]) ).
fof(f2626,plain,
( spl56_184
<=> lt(sK45(sK47),sK29(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_184])]) ).
fof(f2875,plain,
( ~ lt(sK29(sK39),sK29(sK40))
| spl56_184
| ~ spl56_208 ),
inference(backward_demodulation,[],[f2627,f2830]) ).
fof(f2627,plain,
( ~ lt(sK45(sK47),sK29(sK40))
| spl56_184 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f2886,plain,
( ~ spl56_211
| spl56_187
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f2876,f2828,f2639,f2883]) ).
fof(f2883,plain,
( spl56_211
<=> lt(sK29(sK39),sK29(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_211])]) ).
fof(f2639,plain,
( spl56_187
<=> lt(sK45(sK47),sK29(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_187])]) ).
fof(f2876,plain,
( ~ lt(sK29(sK39),sK29(sK39))
| spl56_187
| ~ spl56_208 ),
inference(backward_demodulation,[],[f2640,f2830]) ).
fof(f2640,plain,
( ~ lt(sK45(sK47),sK29(sK39))
| spl56_187 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f2881,plain,
( ~ spl56_210
| spl56_105
| ~ spl56_208 ),
inference(avatar_split_clause,[],[f2871,f2828,f1549,f2878]) ).
fof(f2878,plain,
( spl56_210
<=> nil = cons(sK29(sK39),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_210])]) ).
fof(f2871,plain,
( nil != cons(sK29(sK39),nil)
| spl56_105
| ~ spl56_208 ),
inference(backward_demodulation,[],[f1550,f2830]) ).
fof(f1550,plain,
( nil != cons(sK45(sK47),nil)
| spl56_105 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f2866,plain,
( ~ spl56_183
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2840]) ).
fof(f2840,plain,
( $false
| ~ spl56_183
| ~ spl56_209 ),
inference(resolution,[],[f2833,f2623]) ).
fof(f2833,plain,
( ! [X18] : ~ ssList(X18)
| ~ spl56_209 ),
inference(avatar_component_clause,[],[f2832]) ).
fof(f2832,plain,
( spl56_209
<=> ! [X18] : ~ ssList(X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_209])]) ).
fof(f2865,plain,
( ~ spl56_18
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2851]) ).
fof(f2851,plain,
( $false
| ~ spl56_18
| ~ spl56_209 ),
inference(resolution,[],[f2833,f679]) ).
fof(f2864,plain,
( ~ spl56_52
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2849]) ).
fof(f2849,plain,
( $false
| ~ spl56_52
| ~ spl56_209 ),
inference(resolution,[],[f2833,f968]) ).
fof(f2863,plain,
( ~ spl56_63
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2847]) ).
fof(f2847,plain,
( $false
| ~ spl56_63
| ~ spl56_209 ),
inference(resolution,[],[f2833,f1073]) ).
fof(f2862,plain,
( ~ spl56_16
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2850]) ).
fof(f2850,plain,
( $false
| ~ spl56_16
| ~ spl56_209 ),
inference(resolution,[],[f2833,f669]) ).
fof(f2861,plain,
( ~ spl56_186
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2841,plain,
( $false
| ~ spl56_186
| ~ spl56_209 ),
inference(resolution,[],[f2833,f2636]) ).
fof(f2860,plain,
( ~ spl56_158
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2848]) ).
fof(f2848,plain,
( $false
| ~ spl56_158
| ~ spl56_209 ),
inference(resolution,[],[f2833,f2338]) ).
fof(f2859,plain,
( ~ spl56_14
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2855]) ).
fof(f2855,plain,
( $false
| ~ spl56_14
| ~ spl56_209 ),
inference(resolution,[],[f2833,f659]) ).
fof(f2858,plain,
( ~ spl56_30
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2852,plain,
( $false
| ~ spl56_30
| ~ spl56_209 ),
inference(resolution,[],[f2833,f751]) ).
fof(f2857,plain,
( ~ spl56_59
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2836]) ).
fof(f2836,plain,
( $false
| ~ spl56_59
| ~ spl56_209 ),
inference(resolution,[],[f2833,f1018]) ).
fof(f2856,plain,
( ~ spl56_26
| ~ spl56_209 ),
inference(avatar_contradiction_clause,[],[f2842]) ).
fof(f2842,plain,
( $false
| ~ spl56_26
| ~ spl56_209 ),
inference(resolution,[],[f2833,f727]) ).
fof(f2834,plain,
( spl56_208
| spl56_209
| ~ spl56_80
| ~ spl56_142
| ~ spl56_148
| ~ spl56_172 ),
inference(avatar_split_clause,[],[f2826,f2434,f2282,f2058,f1275,f2832,f2828]) ).
fof(f2058,plain,
( spl56_142
<=> cons(sK45(sK47),nil) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_142])]) ).
fof(f2434,plain,
( spl56_172
<=> cons(sK29(sK39),nil) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_172])]) ).
fof(f2826,plain,
( ! [X18] :
( ~ ssList(X18)
| sK29(sK39) = sK45(sK47) )
| ~ spl56_80
| ~ spl56_142
| ~ spl56_148
| ~ spl56_172 ),
inference(forward_subsumption_demodulation,[],[f2825,f2824]) ).
fof(f2824,plain,
( ! [X10] :
( ~ ssList(X10)
| sK29(sK39) = hd(app(sK39,X10)) )
| ~ spl56_148
| ~ spl56_172 ),
inference(forward_subsumption_demodulation,[],[f2815,f2474]) ).
fof(f2474,plain,
( ! [X2] :
( ~ ssList(X2)
| cons(sK29(sK39),X2) = app(sK39,X2) )
| ~ spl56_148
| ~ spl56_172 ),
inference(forward_demodulation,[],[f2473,f2436]) ).
fof(f2436,plain,
( cons(sK29(sK39),nil) = sK39
| ~ spl56_172 ),
inference(avatar_component_clause,[],[f2434]) ).
fof(f2473,plain,
( ! [X2] :
( cons(sK29(sK39),X2) = app(cons(sK29(sK39),nil),X2)
| ~ ssList(X2) )
| ~ spl56_148 ),
inference(resolution,[],[f2283,f384]) ).
fof(f2283,plain,
( ssItem(sK29(sK39))
| ~ spl56_148 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f2815,plain,
( ! [X10] :
( sK29(sK39) = hd(cons(sK29(sK39),X10))
| ~ ssList(X10) )
| ~ spl56_148 ),
inference(resolution,[],[f521,f2283]) ).
fof(f521,plain,
! [X0,X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,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/benchmark/theBenchmark.p',ax23) ).
fof(f2825,plain,
( ! [X18] :
( hd(app(sK39,X18)) = sK45(sK47)
| ~ ssList(X18) )
| ~ spl56_80
| ~ spl56_142 ),
inference(forward_subsumption_demodulation,[],[f2821,f2077]) ).
fof(f2077,plain,
( ! [X2] :
( cons(sK45(sK47),X2) = app(sK39,X2)
| ~ ssList(X2) )
| ~ spl56_80
| ~ spl56_142 ),
inference(backward_demodulation,[],[f1409,f2060]) ).
fof(f2060,plain,
( cons(sK45(sK47),nil) = sK39
| ~ spl56_142 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f1409,plain,
( ! [X2] :
( app(cons(sK45(sK47),nil),X2) = cons(sK45(sK47),X2)
| ~ ssList(X2) )
| ~ spl56_80 ),
inference(resolution,[],[f1276,f384]) ).
fof(f1276,plain,
( ssItem(sK45(sK47))
| ~ spl56_80 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f2821,plain,
( ! [X18] :
( ~ ssList(X18)
| hd(cons(sK45(sK47),X18)) = sK45(sK47) )
| ~ spl56_80 ),
inference(resolution,[],[f521,f1276]) ).
fof(f2808,plain,
( spl56_207
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f2777,f2635,f2805]) ).
fof(f2805,plain,
( spl56_207
<=> app(app(sK39,sK39),nil) = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_207])]) ).
fof(f2777,plain,
( app(app(sK39,sK39),nil) = app(sK39,sK39)
| ~ spl56_186 ),
inference(resolution,[],[f2636,f407]) ).
fof(f2802,plain,
( spl56_206
| spl56_205
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f2779,f2635,f2794,f2799]) ).
fof(f2799,plain,
( spl56_206
<=> hd(app(sK39,sK39)) = sK35(app(sK39,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_206])]) ).
fof(f2779,plain,
( nil = app(sK39,sK39)
| hd(app(sK39,sK39)) = sK35(app(sK39,sK39))
| ~ spl56_186 ),
inference(resolution,[],[f2636,f429]) ).
fof(f2797,plain,
( spl56_204
| spl56_205
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f2778,f2635,f2794,f2790]) ).
fof(f2778,plain,
( nil = app(sK39,sK39)
| app(sK39,sK39) = cons(sK29(app(sK39,sK39)),sK28(app(sK39,sK39)))
| ~ spl56_186 ),
inference(resolution,[],[f2636,f410]) ).
fof(f2788,plain,
( spl56_203
| ~ spl56_186 ),
inference(avatar_split_clause,[],[f2775,f2635,f2785]) ).
fof(f2785,plain,
( spl56_203
<=> app(nil,app(sK39,sK39)) = app(sK39,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_203])]) ).
fof(f2775,plain,
( app(nil,app(sK39,sK39)) = app(sK39,sK39)
| ~ spl56_186 ),
inference(resolution,[],[f2636,f375]) ).
fof(f2774,plain,
( spl56_202
| ~ spl56_186
| spl56_185 ),
inference(avatar_split_clause,[],[f2701,f2631,f2635,f2771]) ).
fof(f2701,plain,
( ~ ssList(app(sK39,sK39))
| app(app(sK15(app(sK39,sK39)),cons(sK13(app(sK39,sK39)),sK16(app(sK39,sK39)))),cons(sK14(app(sK39,sK39)),sK17(app(sK39,sK39)))) = app(sK39,sK39)
| spl56_185 ),
inference(resolution,[],[f2633,f378]) ).
fof(f378,plain,
! [X0] :
( strictorderedP(X0)
| app(app(sK15(X0),cons(sK13(X0),sK16(X0))),cons(sK14(X0),sK17(X0))) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f2769,plain,
( ~ spl56_16
| ~ spl56_16
| spl56_186 ),
inference(avatar_split_clause,[],[f2768,f2635,f667,f667]) ).
fof(f2768,plain,
( ~ ssList(sK39)
| ~ spl56_16
| spl56_186 ),
inference(resolution,[],[f2637,f856]) ).
fof(f856,plain,
( ! [X12] :
( ssList(app(X12,sK39))
| ~ ssList(X12) )
| ~ spl56_16 ),
inference(resolution,[],[f437,f669]) ).
fof(f2637,plain,
( ~ ssList(app(sK39,sK39))
| spl56_186 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f2767,plain,
( spl56_44
| spl56_201
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f2718,f750,f2764,f894]) ).
fof(f2764,plain,
( spl56_201
<=> hd(sK44(sK47)) = sK35(sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_201])]) ).
fof(f2718,plain,
( hd(sK44(sK47)) = sK35(sK44(sK47))
| nil = sK44(sK47)
| ~ spl56_30 ),
inference(resolution,[],[f429,f751]) ).
fof(f2762,plain,
( spl56_7
| spl56_200
| ~ spl56_16 ),
inference(avatar_split_clause,[],[f2716,f667,f2759,f624]) ).
fof(f2759,plain,
( spl56_200
<=> hd(sK39) = sK35(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_200])]) ).
fof(f2716,plain,
( hd(sK39) = sK35(sK39)
| nil = sK39
| ~ spl56_16 ),
inference(resolution,[],[f429,f669]) ).
fof(f2757,plain,
( spl56_192
| spl56_199
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f2707,f2622,f2754,f2682]) ).
fof(f2754,plain,
( spl56_199
<=> hd(app(sK39,sK40)) = sK35(app(sK39,sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_199])]) ).
fof(f2707,plain,
( hd(app(sK39,sK40)) = sK35(app(sK39,sK40))
| nil = app(sK39,sK40)
| ~ spl56_183 ),
inference(resolution,[],[f429,f2623]) ).
fof(f2752,plain,
( spl56_198
| spl56_60
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f2703,f1017,f1022,f2749]) ).
fof(f2749,plain,
( spl56_198
<=> hd(cons(sK43(sK47),nil)) = sK35(cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_198])]) ).
fof(f2703,plain,
( nil = cons(sK43(sK47),nil)
| hd(cons(sK43(sK47),nil)) = sK35(cons(sK43(sK47),nil))
| ~ spl56_59 ),
inference(resolution,[],[f429,f1018]) ).
fof(f2746,plain,
( spl56_197
| spl56_54
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f2715,f967,f985,f2743]) ).
fof(f2743,plain,
( spl56_197
<=> hd(sK28(sK47)) = sK35(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_197])]) ).
fof(f2715,plain,
( nil = sK28(sK47)
| hd(sK28(sK47)) = sK35(sK28(sK47))
| ~ spl56_52 ),
inference(resolution,[],[f429,f968]) ).
fof(f2741,plain,
( spl56_196
| spl56_161
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f2714,f2337,f2350,f2738]) ).
fof(f2738,plain,
( spl56_196
<=> sK35(sK28(sK40)) = hd(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_196])]) ).
fof(f2714,plain,
( nil = sK28(sK40)
| sK35(sK28(sK40)) = hd(sK28(sK40))
| ~ spl56_158 ),
inference(resolution,[],[f429,f2338]) ).
fof(f2736,plain,
( spl56_3
| spl56_195
| ~ spl56_18 ),
inference(avatar_split_clause,[],[f2717,f677,f2733,f605]) ).
fof(f2733,plain,
( spl56_195
<=> hd(sK40) = sK35(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_195])]) ).
fof(f2717,plain,
( hd(sK40) = sK35(sK40)
| nil = sK40
| ~ spl56_18 ),
inference(resolution,[],[f429,f679]) ).
fof(f2731,plain,
( spl56_66
| spl56_194
| ~ spl56_63 ),
inference(avatar_split_clause,[],[f2713,f1072,f2728,f1090]) ).
fof(f1090,plain,
( spl56_66
<=> nil = sK28(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_66])]) ).
fof(f2728,plain,
( spl56_194
<=> sK35(sK28(nil)) = hd(sK28(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_194])]) ).
fof(f2713,plain,
( sK35(sK28(nil)) = hd(sK28(nil))
| nil = sK28(nil)
| ~ spl56_63 ),
inference(resolution,[],[f429,f1073]) ).
fof(f2726,plain,
( spl56_46
| spl56_193
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f2721,f657,f2723,f903]) ).
fof(f2723,plain,
( spl56_193
<=> hd(sK47) = sK35(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_193])]) ).
fof(f2721,plain,
( hd(sK47) = sK35(sK47)
| nil = sK47
| ~ spl56_14 ),
inference(resolution,[],[f429,f659]) ).
fof(f2685,plain,
( spl56_191
| spl56_192
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f2662,f2622,f2682,f2678]) ).
fof(f2662,plain,
( nil = app(sK39,sK40)
| cons(sK29(app(sK39,sK40)),sK28(app(sK39,sK40))) = app(sK39,sK40)
| ~ spl56_183 ),
inference(resolution,[],[f2623,f410]) ).
fof(f2676,plain,
( spl56_190
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f2659,f2622,f2673]) ).
fof(f2673,plain,
( spl56_190
<=> app(nil,app(sK39,sK40)) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_190])]) ).
fof(f2659,plain,
( app(nil,app(sK39,sK40)) = app(sK39,sK40)
| ~ spl56_183 ),
inference(resolution,[],[f2623,f375]) ).
fof(f2671,plain,
( spl56_189
| ~ spl56_183 ),
inference(avatar_split_clause,[],[f2661,f2622,f2668]) ).
fof(f2668,plain,
( spl56_189
<=> app(app(sK39,sK40),nil) = app(sK39,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_189])]) ).
fof(f2661,plain,
( app(app(sK39,sK40),nil) = app(sK39,sK40)
| ~ spl56_183 ),
inference(resolution,[],[f2623,f407]) ).
fof(f2656,plain,
( spl56_188
| ~ spl56_183
| spl56_182 ),
inference(avatar_split_clause,[],[f2646,f2618,f2622,f2653]) ).
fof(f2646,plain,
( ~ ssList(app(sK39,sK40))
| app(app(sK15(app(sK39,sK40)),cons(sK13(app(sK39,sK40)),sK16(app(sK39,sK40)))),cons(sK14(app(sK39,sK40)),sK17(app(sK39,sK40)))) = app(sK39,sK40)
| spl56_182 ),
inference(resolution,[],[f2620,f378]) ).
fof(f2651,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_183 ),
inference(avatar_split_clause,[],[f2650,f2622,f677,f667]) ).
fof(f2650,plain,
( ~ ssList(sK39)
| ~ spl56_18
| spl56_183 ),
inference(resolution,[],[f2624,f857]) ).
fof(f857,plain,
( ! [X13] :
( ssList(app(X13,sK40))
| ~ ssList(X13) )
| ~ spl56_18 ),
inference(resolution,[],[f437,f679]) ).
fof(f2624,plain,
( ~ ssList(app(sK39,sK40))
| spl56_183 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f2642,plain,
( ~ spl56_185
| ~ spl56_186
| ~ spl56_26
| ~ spl56_148
| spl56_187
| ~ spl56_93
| ~ spl56_172 ),
inference(avatar_split_clause,[],[f2614,f2434,f1423,f2639,f2282,f725,f2635,f2631]) ).
fof(f1423,plain,
( spl56_93
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(sK39,cons(X0,X1)))
| ~ ssItem(X0)
| ~ strictorderedP(app(sK39,cons(X0,X1)))
| lt(sK45(sK47),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_93])]) ).
fof(f2614,plain,
( lt(sK45(sK47),sK29(sK39))
| ~ ssItem(sK29(sK39))
| ~ ssList(nil)
| ~ ssList(app(sK39,sK39))
| ~ strictorderedP(app(sK39,sK39))
| ~ spl56_93
| ~ spl56_172 ),
inference(superposition,[],[f1424,f2436]) ).
fof(f1424,plain,
( ! [X0,X1] :
( ~ ssList(app(sK39,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0)
| lt(sK45(sK47),X0)
| ~ strictorderedP(app(sK39,cons(X0,X1))) )
| ~ spl56_93 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f2629,plain,
( ~ spl56_157
| ~ spl56_182
| ~ spl56_158
| ~ spl56_183
| spl56_184
| ~ spl56_49
| ~ spl56_93 ),
inference(avatar_split_clause,[],[f2613,f1423,f917,f2626,f2622,f2337,f2618,f2333]) ).
fof(f2613,plain,
( lt(sK45(sK47),sK29(sK40))
| ~ ssList(app(sK39,sK40))
| ~ ssList(sK28(sK40))
| ~ strictorderedP(app(sK39,sK40))
| ~ ssItem(sK29(sK40))
| ~ spl56_49
| ~ spl56_93 ),
inference(superposition,[],[f1424,f919]) ).
fof(f2535,plain,
( ~ spl56_148
| ~ spl56_181
| spl56_175
| ~ spl56_31
| ~ spl56_172 ),
inference(avatar_split_clause,[],[f2530,f2434,f754,f2462,f2532,f2282]) ).
fof(f2530,plain,
( ! [X0] :
( app(X0,sK39) != sK39
| ~ ssList(X0)
| ~ lt(sK29(sK39),sK43(sK47))
| ~ ssItem(sK29(sK39)) )
| ~ spl56_31
| ~ spl56_172 ),
inference(superposition,[],[f755,f2436]) ).
fof(f2513,plain,
( ~ spl56_158
| spl56_180
| spl56_162 ),
inference(avatar_split_clause,[],[f2508,f2354,f2510,f2337]) ).
fof(f2510,plain,
( spl56_180
<=> sK28(sK40) = app(app(sK15(sK28(sK40)),cons(sK13(sK28(sK40)),sK16(sK28(sK40)))),cons(sK14(sK28(sK40)),sK17(sK28(sK40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_180])]) ).
fof(f2354,plain,
( spl56_162
<=> strictorderedP(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_162])]) ).
fof(f2508,plain,
( sK28(sK40) = app(app(sK15(sK28(sK40)),cons(sK13(sK28(sK40)),sK16(sK28(sK40)))),cons(sK14(sK28(sK40)),sK17(sK28(sK40))))
| ~ ssList(sK28(sK40))
| spl56_162 ),
inference(resolution,[],[f2355,f378]) ).
fof(f2355,plain,
( ~ strictorderedP(sK28(sK40))
| spl56_162 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f2507,plain,
( spl56_179
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f2492,f2337,f2504]) ).
fof(f2504,plain,
( spl56_179
<=> sK28(sK40) = app(nil,sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_179])]) ).
fof(f2492,plain,
( sK28(sK40) = app(nil,sK28(sK40))
| ~ spl56_158 ),
inference(resolution,[],[f2338,f375]) ).
fof(f2502,plain,
( spl56_178
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f2491,f2337,f2499]) ).
fof(f2499,plain,
( spl56_178
<=> sK28(sK40) = app(sK28(sK40),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_178])]) ).
fof(f2491,plain,
( sK28(sK40) = app(sK28(sK40),nil)
| ~ spl56_158 ),
inference(resolution,[],[f2338,f407]) ).
fof(f2497,plain,
( spl56_161
| spl56_177
| ~ spl56_158 ),
inference(avatar_split_clause,[],[f2489,f2337,f2494,f2350]) ).
fof(f2494,plain,
( spl56_177
<=> sK28(sK40) = cons(sK29(sK28(sK40)),sK28(sK28(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_177])]) ).
fof(f2489,plain,
( sK28(sK40) = cons(sK29(sK28(sK40)),sK28(sK28(sK40)))
| nil = sK28(sK40)
| ~ spl56_158 ),
inference(resolution,[],[f2338,f410]) ).
fof(f2487,plain,
( ~ spl56_18
| spl56_3
| spl56_158 ),
inference(avatar_split_clause,[],[f2486,f2337,f605,f677]) ).
fof(f2486,plain,
( nil = sK40
| ~ ssList(sK40)
| spl56_158 ),
inference(resolution,[],[f2339,f412]) ).
fof(f2339,plain,
( ~ ssList(sK28(sK40))
| spl56_158 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f2476,plain,
( ~ spl56_18
| spl56_3
| spl56_157 ),
inference(avatar_split_clause,[],[f2475,f2333,f605,f677]) ).
fof(f2475,plain,
( nil = sK40
| ~ ssList(sK40)
| spl56_157 ),
inference(resolution,[],[f2335,f411]) ).
fof(f2335,plain,
( ~ ssItem(sK29(sK40))
| spl56_157 ),
inference(avatar_component_clause,[],[f2333]) ).
fof(f2471,plain,
( ~ spl56_29
| ~ spl56_14
| spl56_176
| ~ spl56_10
| ~ spl56_24
| ~ spl56_81 ),
inference(avatar_split_clause,[],[f2467,f1279,f714,f637,f2469,f657,f746]) ).
fof(f2469,plain,
( spl56_176
<=> ! [X0] :
( ~ ssList(X0)
| sK47 != cons(sK43(sK47),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_176])]) ).
fof(f2467,plain,
( ! [X0] :
( ~ ssList(X0)
| sK47 != cons(sK43(sK47),X0)
| ~ ssList(sK47)
| ~ ssItem(sK43(sK47)) )
| ~ spl56_10
| ~ spl56_24
| ~ spl56_81 ),
inference(trivial_inequality_removal,[],[f2466]) ).
fof(f2466,plain,
( ! [X0] :
( sK40 != sK40
| sK47 != cons(sK43(sK47),X0)
| ~ ssList(sK47)
| ~ ssItem(sK43(sK47))
| ~ ssList(X0) )
| ~ spl56_10
| ~ spl56_24
| ~ spl56_81 ),
inference(forward_demodulation,[],[f2465,f639]) ).
fof(f2465,plain,
( ! [X0] :
( sK40 != app(sK39,sK47)
| sK47 != cons(sK43(sK47),X0)
| ~ ssItem(sK43(sK47))
| ~ ssList(X0)
| ~ ssList(sK47) )
| ~ spl56_24
| ~ spl56_81 ),
inference(resolution,[],[f1280,f715]) ).
fof(f2464,plain,
( ~ spl56_148
| spl56_174
| spl56_175
| ~ spl56_172 ),
inference(avatar_split_clause,[],[f2445,f2434,f2462,f2459,f2282]) ).
fof(f2445,plain,
( ! [X2,X0,X1] :
( app(X0,sK39) != sK39
| cons(X1,X2) != sK47
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ lt(sK29(sK39),X1)
| ~ ssItem(sK29(sK39))
| ~ ssList(X0) )
| ~ spl56_172 ),
inference(superposition,[],[f1180,f2436]) ).
fof(f1180,plain,
! [X10,X11,X12,X13] :
( app(X13,cons(X12,nil)) != sK39
| ~ ssItem(X12)
| ~ lt(X12,X10)
| ~ ssItem(X10)
| ~ ssList(X11)
| ~ ssList(X13)
| cons(X10,X11) != sK47 ),
inference(forward_subsumption_demodulation,[],[f559,f384]) ).
fof(f559,plain,
! [X10,X11,X12,X13] :
( app(cons(X10,nil),X11) != sK47
| ~ ssItem(X10)
| ~ ssList(X13)
| app(X13,cons(X12,nil)) != sK39
| ~ ssItem(X12)
| ~ ssList(X11)
| ~ lt(X12,X10) ),
inference(definition_unfolding,[],[f480,f477]) ).
fof(f477,plain,
sK41 = sK39,
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
( ssList(sK39)
& ( ( nil = sK39
& nil != sK40 )
| ! [X4] :
( sK40 != app(sK39,X4)
| ( ssItem(sK43(X4))
& ssList(sK44(X4))
& app(cons(sK43(X4),nil),sK44(X4)) = X4
& ssList(sK46(X4))
& app(sK46(X4),cons(sK45(X4),nil)) = sK39
& lt(sK45(X4),sK43(X4))
& ssItem(sK45(X4)) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != sK41
| nil = sK42 )
& ssList(sK42)
& ssList(sK47)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != sK47
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(sK41,sK47) = sK42
& strictorderedP(sK41)
& sK41 = sK39
& sK42 = sK40
& ssList(sK41)
& ssList(sK40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47])],[f139,f312,f311,f310,f309,f308,f307,f306,f305,f304]) ).
fof(f304,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X0
& nil != X1 )
| ! [X4] :
( app(X0,X4) != X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X0
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(X0) ) )
& ( nil != X2
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(X2,X9) = X3
& strictorderedP(X2) )
& X0 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK39)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != X1 )
| ! [X4] :
( app(sK39,X4) != X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != X2
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(X2,X9) = X3
& strictorderedP(X2) )
& sK39 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != X1 )
| ! [X4] :
( app(sK39,X4) != X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != X2
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(X2,X9) = X3
& strictorderedP(X2) )
& sK39 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ! [X4] :
( sK40 != app(sK39,X4)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != X2
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(X2,X9) = X3
& strictorderedP(X2) )
& sK39 = X2
& sK40 = X3 )
& ssList(X2) )
& ssList(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ! [X4] :
( sK40 != app(sK39,X4)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != X2
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(X2,X9) = X3
& strictorderedP(X2) )
& sK39 = X2
& sK40 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ! [X4] :
( sK40 != app(sK39,X4)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != sK41
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(sK41,X9) = X3
& strictorderedP(sK41) )
& sK41 = sK39
& sK40 = X3 )
& ssList(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ! [X4] :
( sK40 != app(sK39,X4)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != sK41
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(sK41,X9) = X3
& strictorderedP(sK41) )
& sK41 = sK39
& sK40 = X3 )
=> ( ( ( nil = sK39
& nil != sK40 )
| ! [X4] :
( sK40 != app(sK39,X4)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(sK39) ) )
& ( nil != sK41
| nil = sK42 )
& ssList(sK42)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& sK42 = app(sK41,X9)
& strictorderedP(sK41) )
& sK41 = sK39
& sK42 = sK40 ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,X5) )
& ssItem(X7) ) ) )
=> ( ssItem(sK43(X4))
& ? [X6] :
( ssList(X6)
& app(cons(sK43(X4),nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,sK43(X4)) )
& ssItem(X7) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X4] :
( ? [X6] :
( ssList(X6)
& app(cons(sK43(X4),nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,sK43(X4)) )
& ssItem(X7) ) )
=> ( ssList(sK44(X4))
& app(cons(sK43(X4),nil),sK44(X4)) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,sK43(X4)) )
& ssItem(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X4] :
( ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = sK39
& lt(X7,sK43(X4)) )
& ssItem(X7) )
=> ( ? [X8] :
( ssList(X8)
& app(X8,cons(sK45(X4),nil)) = sK39
& lt(sK45(X4),sK43(X4)) )
& ssItem(sK45(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X4] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(sK45(X4),nil)) = sK39
& lt(sK45(X4),sK43(X4)) )
=> ( ssList(sK46(X4))
& app(sK46(X4),cons(sK45(X4),nil)) = sK39
& lt(sK45(X4),sK43(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& sK42 = app(sK41,X9)
& strictorderedP(sK41) )
=> ( ssList(sK47)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != sK47
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(sK41,sK47) = sK42
& strictorderedP(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X0
& nil != X1 )
| ! [X4] :
( app(X0,X4) != X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X0
& lt(X7,X5) )
& ssItem(X7) ) ) )
| ~ ssList(X4)
| ~ strictorderedP(X0) ) )
& ( nil != X2
| nil = X3 )
& ssList(X3)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& app(X2,X9) = X3
& strictorderedP(X2) )
& X0 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& X1 = X3
& ? [X9] :
( app(X2,X9) = X3
& strictorderedP(X2)
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) ) ) )
& ssList(X9) )
& ( ( nil = X0
& nil != X1 )
| ! [X4] :
( ~ ssList(X4)
| ? [X5] :
( ? [X6] :
( app(cons(X5,nil),X6) = X4
& ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X0
& ssList(X8) )
& ssItem(X7) )
& ssList(X6) )
& ssItem(X5) )
| app(X0,X4) != X1
| ~ strictorderedP(X0) ) )
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil != X3
& nil = X2 )
| X1 != X3
| ! [X9] :
( ssList(X9)
=> ( app(X2,X9) != X3
| ~ strictorderedP(X2)
| ? [X10] :
( ? [X11] :
( app(cons(X10,nil),X11) = X9
& ssList(X11)
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) ) ) )
& ssItem(X10) ) ) )
| ( ( nil = X1
| nil != X0 )
& ? [X4] :
( ssList(X4)
& ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(cons(X5,nil),X6) != X4
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X0 ) ) ) ) ) )
& app(X0,X4) = X1
& strictorderedP(X0) ) )
| X0 != X2 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X9] :
( app(X0,X9) = X1
& strictorderedP(X0)
& ssList(X9)
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X0 ) ) )
| app(cons(X10,nil),X11) != X9 ) ) ) ) )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( app(cons(X5,nil),X6) = X4
& ssList(X6)
& ? [X7] :
( ? [X8] :
( ssList(X8)
& lt(X7,X5)
& app(X8,cons(X7,nil)) = X2 )
& ssItem(X7) ) )
& ssItem(X5) )
| app(X2,X4) != X3
| ~ strictorderedP(X2) ) )
| X0 != X2
| X1 != X3
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X9] :
( app(X0,X9) = X1
& strictorderedP(X0)
& ssList(X9)
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X0 ) ) )
| app(cons(X10,nil),X11) != X9 ) ) ) ) )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( app(cons(X5,nil),X6) = X4
& ssList(X6)
& ? [X7] :
( ? [X8] :
( ssList(X8)
& lt(X7,X5)
& app(X8,cons(X7,nil)) = X2 )
& ssItem(X7) ) )
& ssItem(X5) )
| app(X2,X4) != X3
| ~ strictorderedP(X2) ) )
| X0 != X2
| X1 != X3
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f480,plain,
! [X10,X11,X12,X13] :
( ~ ssItem(X10)
| app(cons(X10,nil),X11) != sK47
| ~ ssList(X11)
| ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK41
| ~ ssList(X13)
| ~ ssItem(X12) ),
inference(cnf_transformation,[],[f313]) ).
fof(f2442,plain,
( ~ spl56_173
| spl56_146
| ~ spl56_149 ),
inference(avatar_split_clause,[],[f2423,f2286,f2274,f2439]) ).
fof(f2439,plain,
( spl56_173
<=> lt(sK29(sK39),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_173])]) ).
fof(f2274,plain,
( spl56_146
<=> lt(sK29(sK39),hd(sK28(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_146])]) ).
fof(f2286,plain,
( spl56_149
<=> nil = sK28(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_149])]) ).
fof(f2423,plain,
( ~ lt(sK29(sK39),hd(nil))
| spl56_146
| ~ spl56_149 ),
inference(backward_demodulation,[],[f2275,f2288]) ).
fof(f2288,plain,
( nil = sK28(sK39)
| ~ spl56_149 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f2275,plain,
( ~ lt(sK29(sK39),hd(sK28(sK39)))
| spl56_146 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f2437,plain,
( spl56_172
| ~ spl56_48
| ~ spl56_149 ),
inference(avatar_split_clause,[],[f2422,f2286,f912,f2434]) ).
fof(f912,plain,
( spl56_48
<=> cons(sK29(sK39),sK28(sK39)) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_48])]) ).
fof(f2422,plain,
( cons(sK29(sK39),nil) = sK39
| ~ spl56_48
| ~ spl56_149 ),
inference(backward_demodulation,[],[f914,f2288]) ).
fof(f914,plain,
( cons(sK29(sK39),sK28(sK39)) = sK39
| ~ spl56_48 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f2421,plain,
( spl56_7
| ~ spl56_16
| spl56_148 ),
inference(avatar_split_clause,[],[f2420,f2282,f667,f624]) ).
fof(f2420,plain,
( ~ ssList(sK39)
| nil = sK39
| spl56_148 ),
inference(resolution,[],[f2284,f411]) ).
fof(f2284,plain,
( ~ ssItem(sK29(sK39))
| spl56_148 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f2419,plain,
( spl56_171
| ~ spl56_147 ),
inference(avatar_split_clause,[],[f2404,f2278,f2416]) ).
fof(f2416,plain,
( spl56_171
<=> sK28(sK39) = app(nil,sK28(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_171])]) ).
fof(f2278,plain,
( spl56_147
<=> ssList(sK28(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_147])]) ).
fof(f2404,plain,
( sK28(sK39) = app(nil,sK28(sK39))
| ~ spl56_147 ),
inference(resolution,[],[f2279,f375]) ).
fof(f2279,plain,
( ssList(sK28(sK39))
| ~ spl56_147 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2414,plain,
( spl56_170
| ~ spl56_147 ),
inference(avatar_split_clause,[],[f2403,f2278,f2411]) ).
fof(f2411,plain,
( spl56_170
<=> app(sK28(sK39),nil) = sK28(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_170])]) ).
fof(f2403,plain,
( app(sK28(sK39),nil) = sK28(sK39)
| ~ spl56_147 ),
inference(resolution,[],[f2279,f407]) ).
fof(f2409,plain,
( spl56_169
| spl56_149
| ~ spl56_147 ),
inference(avatar_split_clause,[],[f2401,f2278,f2286,f2406]) ).
fof(f2406,plain,
( spl56_169
<=> sK28(sK39) = cons(sK29(sK28(sK39)),sK28(sK28(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_169])]) ).
fof(f2401,plain,
( nil = sK28(sK39)
| sK28(sK39) = cons(sK29(sK28(sK39)),sK28(sK28(sK39)))
| ~ spl56_147 ),
inference(resolution,[],[f2279,f410]) ).
fof(f2392,plain,
( ~ spl56_168
| ~ spl56_26
| spl56_7
| ~ spl56_34
| ~ spl56_89 ),
inference(avatar_split_clause,[],[f2386,f1345,f778,f624,f725,f2389]) ).
fof(f2389,plain,
( spl56_168
<=> sK40 = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_168])]) ).
fof(f778,plain,
( spl56_34
<=> sK47 = app(nil,sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_34])]) ).
fof(f1345,plain,
( spl56_89
<=> ! [X4] :
( sK40 != app(X4,sK47)
| sK39 = X4
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_89])]) ).
fof(f2386,plain,
( nil = sK39
| ~ ssList(nil)
| sK40 != sK47
| ~ spl56_34
| ~ spl56_89 ),
inference(superposition,[],[f1346,f780]) ).
fof(f780,plain,
( sK47 = app(nil,sK47)
| ~ spl56_34 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f1346,plain,
( ! [X4] :
( sK40 != app(X4,sK47)
| sK39 = X4
| ~ ssList(X4) )
| ~ spl56_89 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f2385,plain,
( spl56_7
| ~ spl56_16
| spl56_147 ),
inference(avatar_split_clause,[],[f2384,f2278,f667,f624]) ).
fof(f2384,plain,
( ~ ssList(sK39)
| nil = sK39
| spl56_147 ),
inference(resolution,[],[f2280,f412]) ).
fof(f2280,plain,
( ~ ssList(sK28(sK39))
| spl56_147 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2383,plain,
( spl56_167
| ~ spl56_18
| spl56_160 ),
inference(avatar_split_clause,[],[f2378,f2346,f677,f2380]) ).
fof(f2378,plain,
( ~ ssList(sK40)
| app(app(sK15(sK40),cons(sK13(sK40),sK16(sK40))),cons(sK14(sK40),sK17(sK40))) = sK40
| spl56_160 ),
inference(resolution,[],[f2348,f378]) ).
fof(f2377,plain,
( ~ spl56_158
| ~ spl56_157
| spl56_166
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2327,f917,f2375,f2333,f2337]) ).
fof(f2375,plain,
( spl56_166
<=> ! [X9,X8,X10] :
( ~ ssList(X8)
| ~ ssList(app(app(X8,sK40),cons(X9,X10)))
| lt(sK29(sK40),X9)
| ~ ssList(X10)
| ~ strictorderedP(app(app(X8,sK40),cons(X9,X10)))
| ~ ssItem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_166])]) ).
fof(f2327,plain,
( ! [X10,X8,X9] :
( ~ ssList(X8)
| ~ ssItem(X9)
| ~ strictorderedP(app(app(X8,sK40),cons(X9,X10)))
| ~ ssItem(sK29(sK40))
| ~ ssList(sK28(sK40))
| ~ ssList(X10)
| lt(sK29(sK40),X9)
| ~ ssList(app(app(X8,sK40),cons(X9,X10))) )
| ~ spl56_49 ),
inference(superposition,[],[f567,f919]) ).
fof(f567,plain,
! [X2,X3,X1,X4,X5] :
( ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| lt(X1,X2)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f383]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X4)
| ~ ssList(X5)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f2373,plain,
( ~ spl56_157
| ~ spl56_158
| spl56_163
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2321,f917,f2359,f2337,f2333]) ).
fof(f2359,plain,
( spl56_163
<=> ! [X6,X7] :
( cons(X6,X7) != sK40
| ~ ssList(X7)
| sK28(sK40) = X7
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_163])]) ).
fof(f2321,plain,
( ! [X4,X5] :
( sK28(sK40) = X5
| ~ ssList(X5)
| sK40 != cons(X4,X5)
| ~ ssList(sK28(sK40))
| ~ ssItem(sK29(sK40))
| ~ ssItem(X4) )
| ~ spl56_49 ),
inference(superposition,[],[f461,f919]) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X0 = X1
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f148]) ).
fof(f148,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/benchmark/theBenchmark.p',ax19) ).
fof(f2372,plain,
( ~ spl56_160
| spl56_161
| spl56_165
| ~ spl56_158
| ~ spl56_157
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2325,f917,f2333,f2337,f2369,f2350,f2346]) ).
fof(f2369,plain,
( spl56_165
<=> lt(sK29(sK40),hd(sK28(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_165])]) ).
fof(f2325,plain,
( ~ ssItem(sK29(sK40))
| ~ ssList(sK28(sK40))
| lt(sK29(sK40),hd(sK28(sK40)))
| nil = sK28(sK40)
| ~ strictorderedP(sK40)
| ~ spl56_49 ),
inference(superposition,[],[f524,f919]) ).
fof(f524,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| nil = X1
| ~ ssList(X1)
| lt(X0,hd(X1))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) )
| ~ strictorderedP(cons(X0,X1)) )
& ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( nil = X1
| ~ strictorderedP(X1)
| ~ lt(X0,hd(X1)) ) ) ) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) )
| ~ strictorderedP(cons(X0,X1)) )
& ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( nil = X1
| ~ strictorderedP(X1)
| ~ lt(X0,hd(X1)) ) ) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) ) )
<=> strictorderedP(cons(X0,X1)) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) ) )
<=> strictorderedP(cons(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f2367,plain,
( ~ spl56_157
| ~ spl56_158
| spl56_159
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2319,f917,f2342,f2337,f2333]) ).
fof(f2342,plain,
( spl56_159
<=> ! [X2,X3] :
( cons(X2,X3) != sK40
| ~ ssList(X3)
| sK29(sK40) = X2
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_159])]) ).
fof(f2319,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,X1) != sK40
| ~ ssList(X1)
| ~ ssList(sK28(sK40))
| sK29(sK40) = X0
| ~ ssItem(sK29(sK40)) )
| ~ spl56_49 ),
inference(superposition,[],[f460,f919]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssList(X1)
| ~ ssItem(X3)
| X2 = X3
| ~ ssList(X0)
| ~ ssItem(X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f2366,plain,
( ~ spl56_164
| ~ spl56_157
| ~ spl56_158
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2324,f917,f2337,f2333,f2363]) ).
fof(f2363,plain,
( spl56_164
<=> sK28(sK40) = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_164])]) ).
fof(f2324,plain,
( ~ ssList(sK28(sK40))
| ~ ssItem(sK29(sK40))
| sK28(sK40) != sK40
| ~ spl56_49 ),
inference(superposition,[],[f520,f919]) ).
fof(f520,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f2361,plain,
( ~ spl56_158
| ~ spl56_157
| spl56_163
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2322,f917,f2359,f2333,f2337]) ).
fof(f2322,plain,
( ! [X6,X7] :
( cons(X6,X7) != sK40
| ~ ssItem(X6)
| ~ ssItem(sK29(sK40))
| sK28(sK40) = X7
| ~ ssList(sK28(sK40))
| ~ ssList(X7) )
| ~ spl56_49 ),
inference(superposition,[],[f461,f919]) ).
fof(f2357,plain,
( ~ spl56_157
| ~ spl56_160
| spl56_161
| spl56_162
| ~ spl56_158
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2326,f917,f2337,f2354,f2350,f2346,f2333]) ).
fof(f2326,plain,
( ~ ssList(sK28(sK40))
| strictorderedP(sK28(sK40))
| nil = sK28(sK40)
| ~ strictorderedP(sK40)
| ~ ssItem(sK29(sK40))
| ~ spl56_49 ),
inference(superposition,[],[f525,f919]) ).
fof(f525,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssItem(X0)
| strictorderedP(X1)
| ~ ssList(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f321]) ).
fof(f2344,plain,
( ~ spl56_158
| spl56_159
| ~ spl56_157
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2320,f917,f2333,f2342,f2337]) ).
fof(f2320,plain,
( ! [X2,X3] :
( ~ ssItem(sK29(sK40))
| cons(X2,X3) != sK40
| ~ ssItem(X2)
| sK29(sK40) = X2
| ~ ssList(sK28(sK40))
| ~ ssList(X3) )
| ~ spl56_49 ),
inference(superposition,[],[f460,f919]) ).
fof(f2340,plain,
( spl56_156
| ~ spl56_157
| ~ spl56_158
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2328,f917,f2337,f2333,f2330]) ).
fof(f2330,plain,
( spl56_156
<=> ! [X13,X12,X11] :
( ~ ssList(X11)
| ~ ssList(app(app(X11,cons(X12,X13)),sK40))
| lt(X12,sK29(sK40))
| ~ ssItem(X12)
| ~ ssList(X13)
| ~ strictorderedP(app(app(X11,cons(X12,X13)),sK40)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_156])]) ).
fof(f2328,plain,
( ! [X11,X12,X13] :
( ~ ssList(sK28(sK40))
| ~ ssItem(sK29(sK40))
| ~ ssList(X11)
| ~ strictorderedP(app(app(X11,cons(X12,X13)),sK40))
| ~ ssList(X13)
| ~ ssItem(X12)
| lt(X12,sK29(sK40))
| ~ ssList(app(app(X11,cons(X12,X13)),sK40)) )
| ~ spl56_49 ),
inference(superposition,[],[f567,f919]) ).
fof(f2317,plain,
( ~ spl56_147
| ~ spl56_155
| ~ spl56_148
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2268,f912,f2282,f2314,f2278]) ).
fof(f2314,plain,
( spl56_155
<=> sK28(sK39) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_155])]) ).
fof(f2268,plain,
( ~ ssItem(sK29(sK39))
| sK28(sK39) != sK39
| ~ ssList(sK28(sK39))
| ~ spl56_48 ),
inference(superposition,[],[f520,f914]) ).
fof(f2312,plain,
( ~ spl56_147
| spl56_154
| ~ spl56_148
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2266,f912,f2282,f2309,f2278]) ).
fof(f2309,plain,
( spl56_154
<=> ! [X4,X5] :
( ~ ssList(X5)
| sK28(sK39) = X5
| ~ ssItem(X4)
| sK39 != cons(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_154])]) ).
fof(f2266,plain,
( ! [X6,X7] :
( ~ ssItem(sK29(sK39))
| cons(X6,X7) != sK39
| ~ ssList(sK28(sK39))
| sK28(sK39) = X7
| ~ ssItem(X6)
| ~ ssList(X7) )
| ~ spl56_48 ),
inference(superposition,[],[f461,f914]) ).
fof(f2311,plain,
( ~ spl56_147
| ~ spl56_148
| spl56_154
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2265,f912,f2309,f2282,f2278]) ).
fof(f2265,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| ~ ssItem(sK29(sK39))
| ~ ssItem(X4)
| sK39 != cons(X4,X5)
| sK28(sK39) = X5
| ~ ssList(sK28(sK39)) )
| ~ spl56_48 ),
inference(superposition,[],[f461,f914]) ).
fof(f2307,plain,
( ~ spl56_148
| spl56_150
| ~ spl56_147
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2263,f912,f2278,f2291,f2282]) ).
fof(f2291,plain,
( spl56_150
<=> ! [X2,X3] :
( sK29(sK39) = X2
| cons(X2,X3) != sK39
| ~ ssItem(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_150])]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ ssList(sK28(sK39))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK29(sK39))
| sK29(sK39) = X0
| cons(X0,X1) != sK39 )
| ~ spl56_48 ),
inference(superposition,[],[f460,f914]) ).
fof(f2306,plain,
( ~ spl56_147
| ~ spl56_148
| spl56_153
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2272,f912,f2304,f2282,f2278]) ).
fof(f2304,plain,
( spl56_153
<=> ! [X13,X12,X11] :
( ~ strictorderedP(app(app(X11,cons(X12,X13)),sK39))
| ~ ssList(app(app(X11,cons(X12,X13)),sK39))
| ~ ssList(X11)
| lt(X12,sK29(sK39))
| ~ ssList(X13)
| ~ ssItem(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_153])]) ).
fof(f2272,plain,
( ! [X11,X12,X13] :
( ~ strictorderedP(app(app(X11,cons(X12,X13)),sK39))
| ~ ssItem(X12)
| ~ ssList(X13)
| lt(X12,sK29(sK39))
| ~ ssItem(sK29(sK39))
| ~ ssList(X11)
| ~ ssList(sK28(sK39))
| ~ ssList(app(app(X11,cons(X12,X13)),sK39)) )
| ~ spl56_48 ),
inference(superposition,[],[f567,f914]) ).
fof(f2302,plain,
( ~ spl56_147
| spl56_152
| ~ spl56_148
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2271,f912,f2282,f2300,f2278]) ).
fof(f2300,plain,
( spl56_152
<=> ! [X9,X8,X10] :
( ~ ssList(app(app(X8,sK39),cons(X9,X10)))
| ~ ssList(X8)
| lt(sK29(sK39),X9)
| ~ ssList(X10)
| ~ ssItem(X9)
| ~ strictorderedP(app(app(X8,sK39),cons(X9,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_152])]) ).
fof(f2271,plain,
( ! [X10,X8,X9] :
( ~ ssItem(sK29(sK39))
| ~ ssList(app(app(X8,sK39),cons(X9,X10)))
| ~ strictorderedP(app(app(X8,sK39),cons(X9,X10)))
| ~ ssItem(X9)
| ~ ssList(sK28(sK39))
| ~ ssList(X10)
| lt(sK29(sK39),X9)
| ~ ssList(X8) )
| ~ spl56_48 ),
inference(superposition,[],[f567,f914]) ).
fof(f2298,plain,
( spl56_149
| ~ spl56_148
| ~ spl56_2
| spl56_151
| ~ spl56_147
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2270,f912,f2278,f2295,f601,f2282,f2286]) ).
fof(f601,plain,
( spl56_2
<=> strictorderedP(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_2])]) ).
fof(f2295,plain,
( spl56_151
<=> strictorderedP(sK28(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_151])]) ).
fof(f2270,plain,
( ~ ssList(sK28(sK39))
| strictorderedP(sK28(sK39))
| ~ strictorderedP(sK39)
| ~ ssItem(sK29(sK39))
| nil = sK28(sK39)
| ~ spl56_48 ),
inference(superposition,[],[f525,f914]) ).
fof(f2293,plain,
( ~ spl56_147
| spl56_150
| ~ spl56_148
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2264,f912,f2282,f2291,f2278]) ).
fof(f2264,plain,
( ! [X2,X3] :
( ~ ssItem(sK29(sK39))
| sK29(sK39) = X2
| ~ ssList(X3)
| ~ ssList(sK28(sK39))
| ~ ssItem(X2)
| cons(X2,X3) != sK39 )
| ~ spl56_48 ),
inference(superposition,[],[f460,f914]) ).
fof(f2289,plain,
( spl56_146
| ~ spl56_2
| ~ spl56_147
| ~ spl56_148
| spl56_149
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f2269,f912,f2286,f2282,f2278,f601,f2274]) ).
fof(f2269,plain,
( nil = sK28(sK39)
| ~ ssItem(sK29(sK39))
| ~ ssList(sK28(sK39))
| ~ strictorderedP(sK39)
| lt(sK29(sK39),hd(sK28(sK39)))
| ~ spl56_48 ),
inference(superposition,[],[f524,f914]) ).
fof(f2227,plain,
( spl56_145
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f2213,f1858,f2224]) ).
fof(f2224,plain,
( spl56_145
<=> app(cons(sK43(nil),nil),nil) = cons(sK43(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_145])]) ).
fof(f1858,plain,
( spl56_128
<=> ssList(cons(sK43(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_128])]) ).
fof(f2213,plain,
( app(cons(sK43(nil),nil),nil) = cons(sK43(nil),nil)
| ~ spl56_128 ),
inference(resolution,[],[f1859,f407]) ).
fof(f1859,plain,
( ssList(cons(sK43(nil),nil))
| ~ spl56_128 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f2222,plain,
( spl56_122
| spl56_129
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f2211,f1858,f1864,f1768]) ).
fof(f1768,plain,
( spl56_122
<=> nil = cons(sK43(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_122])]) ).
fof(f1864,plain,
( spl56_129
<=> cons(sK29(cons(sK43(nil),nil)),sK28(cons(sK43(nil),nil))) = cons(sK43(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_129])]) ).
fof(f2211,plain,
( cons(sK29(cons(sK43(nil),nil)),sK28(cons(sK43(nil),nil))) = cons(sK43(nil),nil)
| nil = cons(sK43(nil),nil)
| ~ spl56_128 ),
inference(resolution,[],[f1859,f410]) ).
fof(f2221,plain,
( spl56_144
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f2214,f1858,f2218]) ).
fof(f2218,plain,
( spl56_144
<=> app(nil,cons(sK43(nil),nil)) = cons(sK43(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_144])]) ).
fof(f2214,plain,
( app(nil,cons(sK43(nil),nil)) = cons(sK43(nil),nil)
| ~ spl56_128 ),
inference(resolution,[],[f1859,f375]) ).
fof(f2216,plain,
( spl56_122
| ~ spl56_128
| ~ spl56_130 ),
inference(avatar_split_clause,[],[f2215,f1877,f1858,f1768]) ).
fof(f1877,plain,
( spl56_130
<=> nil = app(cons(sK43(nil),nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_130])]) ).
fof(f2215,plain,
( nil = cons(sK43(nil),nil)
| ~ spl56_128
| ~ spl56_130 ),
inference(forward_demodulation,[],[f2213,f1879]) ).
fof(f1879,plain,
( nil = app(cons(sK43(nil),nil),nil)
| ~ spl56_130 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f2075,plain,
( spl56_143
| ~ spl56_28
| ~ spl56_141 ),
inference(avatar_split_clause,[],[f2062,f2049,f739,f2072]) ).
fof(f2072,plain,
( spl56_143
<=> app(cons(sK43(sK47),nil),sK47) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_143])]) ).
fof(f739,plain,
( spl56_28
<=> sK47 = app(cons(sK43(sK47),nil),sK44(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_28])]) ).
fof(f2049,plain,
( spl56_141
<=> sK44(sK47) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_141])]) ).
fof(f2062,plain,
( app(cons(sK43(sK47),nil),sK47) = sK47
| ~ spl56_28
| ~ spl56_141 ),
inference(backward_demodulation,[],[f741,f2051]) ).
fof(f2051,plain,
( sK44(sK47) = sK47
| ~ spl56_141 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f741,plain,
( sK47 = app(cons(sK43(sK47),nil),sK44(sK47))
| ~ spl56_28 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f2061,plain,
( spl56_142
| ~ spl56_107
| ~ spl56_140 ),
inference(avatar_split_clause,[],[f2056,f2042,f1559,f2058]) ).
fof(f1559,plain,
( spl56_107
<=> cons(sK45(sK47),nil) = app(nil,cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_107])]) ).
fof(f2042,plain,
( spl56_140
<=> sK39 = app(nil,cons(sK45(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_140])]) ).
fof(f2056,plain,
( cons(sK45(sK47),nil) = sK39
| ~ spl56_107
| ~ spl56_140 ),
inference(backward_demodulation,[],[f1561,f2044]) ).
fof(f2044,plain,
( sK39 = app(nil,cons(sK45(sK47),nil))
| ~ spl56_140 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f1561,plain,
( cons(sK45(sK47),nil) = app(nil,cons(sK45(sK47),nil))
| ~ spl56_107 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f2052,plain,
( spl56_141
| ~ spl56_36
| ~ spl56_103 ),
inference(avatar_split_clause,[],[f2047,f1524,f795,f2049]) ).
fof(f1524,plain,
( spl56_103
<=> app(nil,sK44(sK47)) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_103])]) ).
fof(f2047,plain,
( sK44(sK47) = sK47
| ~ spl56_36
| ~ spl56_103 ),
inference(backward_demodulation,[],[f797,f1526]) ).
fof(f1526,plain,
( app(nil,sK44(sK47)) = sK47
| ~ spl56_103 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f2045,plain,
( spl56_140
| ~ spl56_27
| ~ spl56_84 ),
inference(avatar_split_clause,[],[f2033,f1301,f732,f2042]) ).
fof(f2033,plain,
( sK39 = app(nil,cons(sK45(sK47),nil))
| ~ spl56_27
| ~ spl56_84 ),
inference(backward_demodulation,[],[f734,f1303]) ).
fof(f1303,plain,
( nil = sK46(sK47)
| ~ spl56_84 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f2032,plain,
( spl56_60
| ~ spl56_30
| ~ spl56_59
| ~ spl56_46
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1309,f739,f903,f1017,f750,f1022]) ).
fof(f1309,plain,
( nil != sK47
| ~ ssList(cons(sK43(sK47),nil))
| ~ ssList(sK44(sK47))
| nil = cons(sK43(sK47),nil)
| ~ spl56_28 ),
inference(superposition,[],[f425,f741]) ).
fof(f425,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) ) ),
inference(flattening,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) ) ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f2031,plain,
( ~ spl56_42
| ~ spl56_26
| ~ spl56_8
| ~ spl56_38
| spl56_65 ),
inference(avatar_split_clause,[],[f2030,f1085,f816,f629,f725,f837]) ).
fof(f837,plain,
( spl56_42
<=> sK40 = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_42])]) ).
fof(f629,plain,
( spl56_8
<=> ! [X4] :
( sK40 != app(sK39,X4)
| ssItem(sK43(X4))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_8])]) ).
fof(f816,plain,
( spl56_38
<=> app(sK39,nil) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_38])]) ).
fof(f1085,plain,
( spl56_65
<=> ssItem(sK43(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_65])]) ).
fof(f2030,plain,
( ~ ssList(nil)
| sK40 != sK39
| ~ spl56_8
| ~ spl56_38
| spl56_65 ),
inference(forward_demodulation,[],[f1250,f818]) ).
fof(f818,plain,
( app(sK39,nil) = sK39
| ~ spl56_38 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f1250,plain,
( ~ ssList(nil)
| app(sK39,nil) != sK40
| ~ spl56_8
| spl56_65 ),
inference(resolution,[],[f630,f1086]) ).
fof(f1086,plain,
( ~ ssItem(sK43(nil))
| spl56_65 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f630,plain,
( ! [X4] :
( ssItem(sK43(X4))
| ~ ssList(X4)
| sK40 != app(sK39,X4) )
| ~ spl56_8 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f2029,plain,
( spl56_101
| spl56_60
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f1531,f1017,f1022,f1503]) ).
fof(f1503,plain,
( spl56_101
<=> cons(sK29(cons(sK43(sK47),nil)),sK28(cons(sK43(sK47),nil))) = cons(sK43(sK47),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_101])]) ).
fof(f1531,plain,
( nil = cons(sK43(sK47),nil)
| cons(sK29(cons(sK43(sK47),nil)),sK28(cons(sK43(sK47),nil))) = cons(sK43(sK47),nil)
| ~ spl56_59 ),
inference(resolution,[],[f1018,f410]) ).
fof(f2028,plain,
( ~ spl56_26
| ~ spl56_42
| ~ spl56_8
| ~ spl56_38
| spl56_65 ),
inference(avatar_split_clause,[],[f1252,f1085,f816,f629,f837,f725]) ).
fof(f1252,plain,
( sK40 != sK39
| ~ ssList(nil)
| ~ spl56_8
| ~ spl56_38
| spl56_65 ),
inference(forward_demodulation,[],[f1250,f818]) ).
fof(f2027,plain,
( ~ spl56_42
| ~ spl56_10
| spl56_78 ),
inference(avatar_split_clause,[],[f1234,f1199,f637,f837]) ).
fof(f1199,plain,
( spl56_78
<=> app(sK39,sK47) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_78])]) ).
fof(f1234,plain,
( sK40 != sK39
| ~ spl56_10
| spl56_78 ),
inference(superposition,[],[f1200,f639]) ).
fof(f1200,plain,
( app(sK39,sK47) != sK39
| spl56_78 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f2026,plain,
( spl56_60
| ~ spl56_30
| ~ spl56_59
| ~ spl56_46
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1579,f739,f903,f1017,f750,f1022]) ).
fof(f1579,plain,
( nil != sK47
| ~ ssList(cons(sK43(sK47),nil))
| ~ ssList(sK44(sK47))
| nil = cons(sK43(sK47),nil)
| ~ spl56_28 ),
inference(superposition,[],[f425,f741]) ).
fof(f2025,plain,
( ~ spl56_42
| ~ spl56_26
| spl56_43
| ~ spl56_9
| ~ spl56_38 ),
inference(avatar_split_clause,[],[f1258,f816,f633,f842,f725,f837]) ).
fof(f842,plain,
( spl56_43
<=> app(sK46(nil),cons(sK45(nil),nil)) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_43])]) ).
fof(f1258,plain,
( app(sK46(nil),cons(sK45(nil),nil)) = sK39
| ~ ssList(nil)
| sK40 != sK39
| ~ spl56_9
| ~ spl56_38 ),
inference(superposition,[],[f634,f818]) ).
fof(f2024,plain,
( ~ spl56_26
| ~ spl56_42
| ~ spl56_1
| ~ spl56_38
| spl56_70 ),
inference(avatar_split_clause,[],[f2023,f1113,f816,f598,f837,f725]) ).
fof(f598,plain,
( spl56_1
<=> ! [X4] :
( ssList(sK44(X4))
| ~ ssList(X4)
| sK40 != app(sK39,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_1])]) ).
fof(f1113,plain,
( spl56_70
<=> ssList(sK44(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_70])]) ).
fof(f2023,plain,
( sK40 != sK39
| ~ ssList(nil)
| ~ spl56_1
| ~ spl56_38
| spl56_70 ),
inference(forward_demodulation,[],[f1240,f818]) ).
fof(f1240,plain,
( app(sK39,nil) != sK40
| ~ ssList(nil)
| ~ spl56_1
| spl56_70 ),
inference(resolution,[],[f599,f1114]) ).
fof(f1114,plain,
( ~ ssList(sK44(nil))
| spl56_70 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f599,plain,
( ! [X4] :
( ssList(sK44(X4))
| ~ ssList(X4)
| sK40 != app(sK39,X4) )
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f2022,plain,
( ~ spl56_46
| ~ spl56_30
| ~ spl56_59
| spl56_44
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1580,f739,f894,f1017,f750,f903]) ).
fof(f1580,plain,
( nil = sK44(sK47)
| ~ ssList(cons(sK43(sK47),nil))
| ~ ssList(sK44(sK47))
| nil != sK47
| ~ spl56_28 ),
inference(superposition,[],[f424,f741]) ).
fof(f424,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(cnf_transformation,[],[f286]) ).
fof(f2021,plain,
( ~ spl56_26
| ~ spl56_42
| ~ spl56_1
| ~ spl56_38
| spl56_70 ),
inference(avatar_split_clause,[],[f1245,f1113,f816,f598,f837,f725]) ).
fof(f1245,plain,
( sK40 != sK39
| ~ ssList(nil)
| ~ spl56_1
| ~ spl56_38
| spl56_70 ),
inference(forward_demodulation,[],[f1240,f818]) ).
fof(f2020,plain,
( spl56_139
| ~ spl56_65
| ~ spl56_26
| ~ spl56_122 ),
inference(avatar_split_clause,[],[f2016,f1768,f725,f1085,f2018]) ).
fof(f2018,plain,
( spl56_139
<=> ! [X9,X8,X10] :
( ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(app(X8,cons(X9,X10)))
| ~ strictorderedP(app(X8,cons(X9,X10)))
| lt(sK43(nil),X9)
| ~ ssItem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_139])]) ).
fof(f2016,plain,
( ! [X10,X8,X9] :
( ~ ssList(nil)
| ~ ssItem(sK43(nil))
| ~ ssList(X8)
| lt(sK43(nil),X9)
| ~ ssItem(X9)
| ~ strictorderedP(app(X8,cons(X9,X10)))
| ~ ssList(app(X8,cons(X9,X10)))
| ~ ssList(X10) )
| ~ spl56_122 ),
inference(forward_subsumption_demodulation,[],[f2015,f407]) ).
fof(f2015,plain,
( ! [X10,X8,X9] :
( ~ ssList(X8)
| lt(sK43(nil),X9)
| ~ strictorderedP(app(X8,cons(X9,X10)))
| ~ ssList(app(app(X8,nil),cons(X9,X10)))
| ~ ssItem(sK43(nil))
| ~ ssItem(X9)
| ~ ssList(X10)
| ~ ssList(nil) )
| ~ spl56_122 ),
inference(forward_subsumption_demodulation,[],[f2001,f407]) ).
fof(f2001,plain,
( ! [X10,X8,X9] :
( ~ ssList(X8)
| ~ strictorderedP(app(app(X8,nil),cons(X9,X10)))
| lt(sK43(nil),X9)
| ~ ssItem(sK43(nil))
| ~ ssList(X10)
| ~ ssList(nil)
| ~ ssItem(X9)
| ~ ssList(app(app(X8,nil),cons(X9,X10))) )
| ~ spl56_122 ),
inference(superposition,[],[f567,f1770]) ).
fof(f1770,plain,
( nil = cons(sK43(nil),nil)
| ~ spl56_122 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f2014,plain,
( ~ spl56_26
| spl56_138
| ~ spl56_65
| ~ spl56_122 ),
inference(avatar_split_clause,[],[f2010,f1768,f1085,f2012,f725]) ).
fof(f2012,plain,
( spl56_138
<=> ! [X13,X12,X11] :
( ~ strictorderedP(app(X11,cons(X12,X13)))
| ~ ssList(X11)
| ~ ssList(app(X11,cons(X12,X13)))
| ~ ssItem(X12)
| lt(X12,sK43(nil))
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_138])]) ).
fof(f2010,plain,
( ! [X11,X12,X13] :
( ~ ssItem(sK43(nil))
| ~ strictorderedP(app(X11,cons(X12,X13)))
| ~ ssList(X13)
| lt(X12,sK43(nil))
| ~ ssItem(X12)
| ~ ssList(app(X11,cons(X12,X13)))
| ~ ssList(X11)
| ~ ssList(nil) )
| ~ spl56_122 ),
inference(forward_subsumption_demodulation,[],[f2009,f407]) ).
fof(f2009,plain,
( ! [X11,X12,X13] :
( ~ ssList(app(X11,cons(X12,app(X13,nil))))
| lt(X12,sK43(nil))
| ~ ssItem(sK43(nil))
| ~ ssItem(X12)
| ~ ssList(nil)
| ~ ssList(X13)
| ~ ssList(X11)
| ~ strictorderedP(app(X11,cons(X12,X13))) )
| ~ spl56_122 ),
inference(forward_subsumption_demodulation,[],[f2008,f1395]) ).
fof(f1395,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| app(X1,cons(X2,app(X3,X0))) = app(app(X1,cons(X2,X3)),X0)
| ~ ssList(X0) ),
inference(forward_subsumption_demodulation,[],[f1380,f421]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) )
| ~ ssList(X1) ) ),
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/benchmark/theBenchmark.p',ax27) ).
fof(f1380,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| app(app(X1,cons(X2,X3)),X0) = app(X1,app(cons(X2,X3),X0))
| ~ ssList(X0)
| ~ ssList(X3)
| ~ ssItem(X2) ),
inference(resolution,[],[f385,f426]) ).
fof(f426,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,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/benchmark/theBenchmark.p',ax16) ).
fof(f2008,plain,
( ! [X11,X12,X13] :
( lt(X12,sK43(nil))
| ~ ssItem(sK43(nil))
| ~ ssList(nil)
| ~ ssItem(X12)
| ~ strictorderedP(app(X11,cons(X12,X13)))
| ~ ssList(X11)
| ~ ssList(app(app(X11,cons(X12,X13)),nil))
| ~ ssList(X13) )
| ~ spl56_122 ),
inference(forward_subsumption_demodulation,[],[f2007,f407]) ).
fof(f2007,plain,
( ! [X11,X12,X13] :
( ~ ssItem(sK43(nil))
| ~ ssItem(X12)
| ~ strictorderedP(app(X11,cons(X12,app(X13,nil))))
| ~ ssList(nil)
| lt(X12,sK43(nil))
| ~ ssList(app(app(X11,cons(X12,X13)),nil))
| ~ ssList(X13)
| ~ ssList(X11) )
| ~ spl56_122 ),
inference(forward_subsumption_demodulation,[],[f2002,f1395]) ).
fof(f2002,plain,
( ! [X11,X12,X13] :
( ~ strictorderedP(app(app(X11,cons(X12,X13)),nil))
| ~ ssItem(sK43(nil))
| ~ ssList(nil)
| ~ ssItem(X12)
| ~ ssList(X11)
| lt(X12,sK43(nil))
| ~ ssList(X13)
| ~ ssList(app(app(X11,cons(X12,X13)),nil)) )
| ~ spl56_122 ),
inference(superposition,[],[f567,f1770]) ).
fof(f2006,plain,
( ~ spl56_26
| ~ spl56_65
| ~ spl56_122 ),
inference(avatar_split_clause,[],[f2003,f1768,f1085,f725]) ).
fof(f2003,plain,
( ~ ssItem(sK43(nil))
| ~ ssList(nil)
| ~ spl56_122 ),
inference(trivial_inequality_removal,[],[f1998]) ).
fof(f1998,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(sK43(nil))
| ~ spl56_122 ),
inference(superposition,[],[f520,f1770]) ).
fof(f2005,plain,
( ~ spl56_26
| ~ spl56_65
| ~ spl56_122 ),
inference(avatar_split_clause,[],[f2004,f1768,f1085,f725]) ).
fof(f2004,plain,
( ~ ssItem(sK43(nil))
| ~ ssList(nil)
| ~ spl56_122 ),
inference(trivial_inequality_removal,[],[f1997]) ).
fof(f1997,plain,
( ~ ssList(nil)
| nil != nil
| ~ ssItem(sK43(nil))
| ~ spl56_122 ),
inference(superposition,[],[f516,f1770]) ).
fof(f516,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f1985,plain,
( ~ spl56_116
| spl56_137
| ~ spl56_65
| ~ spl56_133 ),
inference(avatar_split_clause,[],[f1964,f1948,f1085,f1983,f1729]) ).
fof(f1729,plain,
( spl56_116
<=> ssItem(sK45(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_116])]) ).
fof(f1983,plain,
( spl56_137
<=> ! [X0] :
( lt(X0,sK43(nil))
| ~ ssItem(X0)
| ~ leq(X0,sK45(nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_137])]) ).
fof(f1948,plain,
( spl56_133
<=> lt(sK45(nil),sK43(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_133])]) ).
fof(f1964,plain,
( ! [X0] :
( ~ ssItem(sK43(nil))
| lt(X0,sK43(nil))
| ~ leq(X0,sK45(nil))
| ~ ssItem(X0)
| ~ ssItem(sK45(nil)) )
| ~ spl56_133 ),
inference(resolution,[],[f1950,f450]) ).
fof(f1950,plain,
( lt(sK45(nil),sK43(nil))
| ~ spl56_133 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f1981,plain,
( ~ spl56_116
| ~ spl56_65
| spl56_136
| ~ spl56_133 ),
inference(avatar_split_clause,[],[f1967,f1948,f1978,f1085,f1729]) ).
fof(f1978,plain,
( spl56_136
<=> leq(sK45(nil),sK43(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_136])]) ).
fof(f1967,plain,
( leq(sK45(nil),sK43(nil))
| ~ ssItem(sK43(nil))
| ~ ssItem(sK45(nil))
| ~ spl56_133 ),
inference(resolution,[],[f1950,f360]) ).
fof(f1976,plain,
( ~ spl56_65
| ~ spl56_116
| ~ spl56_135
| ~ spl56_133 ),
inference(avatar_split_clause,[],[f1966,f1948,f1973,f1729,f1085]) ).
fof(f1973,plain,
( spl56_135
<=> lt(sK43(nil),sK45(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_135])]) ).
fof(f1966,plain,
( ~ lt(sK43(nil),sK45(nil))
| ~ ssItem(sK45(nil))
| ~ ssItem(sK43(nil))
| ~ spl56_133 ),
inference(resolution,[],[f1950,f465]) ).
fof(f1971,plain,
( ~ spl56_116
| spl56_134
| ~ spl56_65
| ~ spl56_133 ),
inference(avatar_split_clause,[],[f1965,f1948,f1085,f1969,f1729]) ).
fof(f1969,plain,
( spl56_134
<=> ! [X1] :
( ~ ssItem(X1)
| ~ lt(sK43(nil),X1)
| lt(sK45(nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_134])]) ).
fof(f1965,plain,
( ! [X1] :
( ~ ssItem(sK43(nil))
| ~ ssItem(X1)
| ~ ssItem(sK45(nil))
| lt(sK45(nil),X1)
| ~ lt(sK43(nil),X1) )
| ~ spl56_133 ),
inference(resolution,[],[f1950,f422]) ).
fof(f1951,plain,
( spl56_133
| ~ spl56_26
| ~ spl56_24
| ~ spl56_38
| ~ spl56_42 ),
inference(avatar_split_clause,[],[f1946,f837,f816,f714,f725,f1948]) ).
fof(f1946,plain,
( ~ ssList(nil)
| lt(sK45(nil),sK43(nil))
| ~ spl56_24
| ~ spl56_38
| ~ spl56_42 ),
inference(trivial_inequality_removal,[],[f1945]) ).
fof(f1945,plain,
( lt(sK45(nil),sK43(nil))
| ~ ssList(nil)
| sK39 != sK39
| ~ spl56_24
| ~ spl56_38
| ~ spl56_42 ),
inference(superposition,[],[f1156,f818]) ).
fof(f1156,plain,
( ! [X4] :
( app(sK39,X4) != sK39
| lt(sK45(X4),sK43(X4))
| ~ ssList(X4) )
| ~ spl56_24
| ~ spl56_42 ),
inference(backward_demodulation,[],[f715,f838]) ).
fof(f838,plain,
( sK40 = sK39
| ~ spl56_42 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f1912,plain,
( spl56_132
| ~ spl56_113
| ~ spl56_131 ),
inference(avatar_split_clause,[],[f1907,f1899,f1710,f1909]) ).
fof(f1909,plain,
( spl56_132
<=> cons(sK45(nil),nil) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_132])]) ).
fof(f1710,plain,
( spl56_113
<=> cons(sK45(nil),nil) = app(nil,cons(sK45(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_113])]) ).
fof(f1899,plain,
( spl56_131
<=> app(nil,cons(sK45(nil),nil)) = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_131])]) ).
fof(f1907,plain,
( cons(sK45(nil),nil) = sK39
| ~ spl56_113
| ~ spl56_131 ),
inference(backward_demodulation,[],[f1712,f1901]) ).
fof(f1901,plain,
( app(nil,cons(sK45(nil),nil)) = sK39
| ~ spl56_131 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1712,plain,
( cons(sK45(nil),nil) = app(nil,cons(sK45(nil),nil))
| ~ spl56_113 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1902,plain,
( spl56_131
| ~ spl56_43
| ~ spl56_114 ),
inference(avatar_split_clause,[],[f1890,f1717,f842,f1899]) ).
fof(f1717,plain,
( spl56_114
<=> nil = sK46(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_114])]) ).
fof(f1890,plain,
( app(nil,cons(sK45(nil),nil)) = sK39
| ~ spl56_43
| ~ spl56_114 ),
inference(backward_demodulation,[],[f844,f1718]) ).
fof(f1718,plain,
( nil = sK46(nil)
| ~ spl56_114 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f844,plain,
( app(sK46(nil),cons(sK45(nil),nil)) = sK39
| ~ spl56_43 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1885,plain,
( spl56_114
| ~ spl56_46
| ~ spl56_84 ),
inference(avatar_split_clause,[],[f1884,f1301,f903,f1717]) ).
fof(f1884,plain,
( nil = sK46(nil)
| ~ spl56_46
| ~ spl56_84 ),
inference(forward_demodulation,[],[f1303,f905]) ).
fof(f905,plain,
( nil = sK47
| ~ spl56_46 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f1880,plain,
( spl56_130
| ~ spl56_41
| ~ spl56_64 ),
inference(avatar_split_clause,[],[f1875,f1079,f833,f1877]) ).
fof(f833,plain,
( spl56_41
<=> nil = app(cons(sK43(nil),nil),sK44(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_41])]) ).
fof(f1079,plain,
( spl56_64
<=> nil = sK44(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_64])]) ).
fof(f1875,plain,
( nil = app(cons(sK43(nil),nil),nil)
| ~ spl56_41
| ~ spl56_64 ),
inference(backward_demodulation,[],[f835,f1080]) ).
fof(f1080,plain,
( nil = sK44(nil)
| ~ spl56_64 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f835,plain,
( nil = app(cons(sK43(nil),nil),sK44(nil))
| ~ spl56_41 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f1869,plain,
( spl56_127
| ~ spl56_46
| ~ spl56_103 ),
inference(avatar_split_clause,[],[f1868,f1524,f903,f1803]) ).
fof(f1803,plain,
( spl56_127
<=> nil = app(nil,sK44(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_127])]) ).
fof(f1868,plain,
( nil = app(nil,sK44(nil))
| ~ spl56_46
| ~ spl56_103 ),
inference(forward_demodulation,[],[f1526,f905]) ).
fof(f1867,plain,
( ~ spl56_129
| ~ spl56_46
| spl56_101 ),
inference(avatar_split_clause,[],[f1862,f1503,f903,f1864]) ).
fof(f1862,plain,
( cons(sK29(cons(sK43(nil),nil)),sK28(cons(sK43(nil),nil))) != cons(sK43(nil),nil)
| ~ spl56_46
| spl56_101 ),
inference(forward_demodulation,[],[f1504,f905]) ).
fof(f1504,plain,
( cons(sK29(cons(sK43(sK47),nil)),sK28(cons(sK43(sK47),nil))) != cons(sK43(sK47),nil)
| spl56_101 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1861,plain,
( ~ spl56_128
| spl56_122
| ~ spl56_70
| ~ spl56_28
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1856,f903,f739,f1113,f1768,f1858]) ).
fof(f1856,plain,
( ~ ssList(sK44(nil))
| nil = cons(sK43(nil),nil)
| ~ ssList(cons(sK43(nil),nil))
| ~ spl56_28
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1855,f905]) ).
fof(f1855,plain,
( ~ ssList(sK44(nil))
| ~ ssList(cons(sK43(sK47),nil))
| nil = cons(sK43(nil),nil)
| ~ spl56_28
| ~ spl56_46 ),
inference(trivial_inequality_removal,[],[f1854]) ).
fof(f1854,plain,
( nil = cons(sK43(nil),nil)
| ~ ssList(cons(sK43(sK47),nil))
| ~ ssList(sK44(nil))
| nil != nil
| ~ spl56_28
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1853,f905]) ).
fof(f1853,plain,
( nil != sK47
| ~ ssList(cons(sK43(sK47),nil))
| nil = cons(sK43(nil),nil)
| ~ ssList(sK44(nil))
| ~ spl56_28
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1852,f905]) ).
fof(f1852,plain,
( nil = cons(sK43(sK47),nil)
| ~ ssList(sK44(nil))
| nil != sK47
| ~ ssList(cons(sK43(sK47),nil))
| ~ spl56_28
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1309,f905]) ).
fof(f1809,plain,
( spl56_70
| ~ spl56_30
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1032,f903,f750,f1113]) ).
fof(f1032,plain,
( ssList(sK44(nil))
| ~ spl56_30
| ~ spl56_46 ),
inference(backward_demodulation,[],[f751,f905]) ).
fof(f1808,plain,
( spl56_42
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1076,f903,f816,f637,f837]) ).
fof(f1076,plain,
( sK40 = sK39
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1027,f818]) ).
fof(f1027,plain,
( app(sK39,nil) = sK40
| ~ spl56_10
| ~ spl56_46 ),
inference(backward_demodulation,[],[f639,f905]) ).
fof(f1806,plain,
( spl56_127
| ~ spl56_28
| ~ spl56_46
| ~ spl56_60 ),
inference(avatar_split_clause,[],[f1801,f1022,f903,f739,f1803]) ).
fof(f1801,plain,
( nil = app(nil,sK44(nil))
| ~ spl56_28
| ~ spl56_46
| ~ spl56_60 ),
inference(forward_demodulation,[],[f1513,f905]) ).
fof(f1513,plain,
( app(nil,sK44(sK47)) = sK47
| ~ spl56_28
| ~ spl56_60 ),
inference(backward_demodulation,[],[f741,f1024]) ).
fof(f1024,plain,
( nil = cons(sK43(sK47),nil)
| ~ spl56_60 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1798,plain,
( ~ spl56_126
| ~ spl56_46
| spl56_105 ),
inference(avatar_split_clause,[],[f1699,f1549,f903,f1795]) ).
fof(f1795,plain,
( spl56_126
<=> nil = cons(sK45(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_126])]) ).
fof(f1699,plain,
( nil != cons(sK45(nil),nil)
| ~ spl56_46
| spl56_105 ),
inference(backward_demodulation,[],[f1550,f905]) ).
fof(f1793,plain,
( spl56_68
| ~ spl56_46
| ~ spl56_55 ),
inference(avatar_split_clause,[],[f1666,f989,f903,f1100]) ).
fof(f1100,plain,
( spl56_68
<=> strictorderedP(sK28(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_68])]) ).
fof(f989,plain,
( spl56_55
<=> strictorderedP(sK28(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_55])]) ).
fof(f1666,plain,
( strictorderedP(sK28(nil))
| ~ spl56_46
| ~ spl56_55 ),
inference(backward_demodulation,[],[f991,f905]) ).
fof(f991,plain,
( strictorderedP(sK28(sK47))
| ~ spl56_55 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1792,plain,
( spl56_42
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1791,f903,f816,f637,f837]) ).
fof(f1791,plain,
( sK40 = sK39
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1649,f818]) ).
fof(f1649,plain,
( app(sK39,nil) = sK40
| ~ spl56_10
| ~ spl56_46 ),
inference(backward_demodulation,[],[f639,f905]) ).
fof(f1790,plain,
( spl56_125
| ~ spl56_46
| ~ spl56_106 ),
inference(avatar_split_clause,[],[f1700,f1553,f903,f1787]) ).
fof(f1787,plain,
( spl56_125
<=> cons(sK45(nil),nil) = cons(sK29(cons(sK45(nil),nil)),sK28(cons(sK45(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_125])]) ).
fof(f1553,plain,
( spl56_106
<=> cons(sK45(sK47),nil) = cons(sK29(cons(sK45(sK47),nil)),sK28(cons(sK45(sK47),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_106])]) ).
fof(f1700,plain,
( cons(sK45(nil),nil) = cons(sK29(cons(sK45(nil),nil)),sK28(cons(sK45(nil),nil)))
| ~ spl56_46
| ~ spl56_106 ),
inference(backward_demodulation,[],[f1555,f905]) ).
fof(f1555,plain,
( cons(sK45(sK47),nil) = cons(sK29(cons(sK45(sK47),nil)),sK28(cons(sK45(sK47),nil)))
| ~ spl56_106 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f1785,plain,
( spl56_124
| ~ spl56_46
| ~ spl56_108 ),
inference(avatar_split_clause,[],[f1703,f1564,f903,f1782]) ).
fof(f1782,plain,
( spl56_124
<=> app(cons(sK45(nil),nil),nil) = cons(sK45(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_124])]) ).
fof(f1564,plain,
( spl56_108
<=> app(cons(sK45(sK47),nil),nil) = cons(sK45(sK47),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_108])]) ).
fof(f1703,plain,
( app(cons(sK45(nil),nil),nil) = cons(sK45(nil),nil)
| ~ spl56_46
| ~ spl56_108 ),
inference(backward_demodulation,[],[f1566,f905]) ).
fof(f1566,plain,
( app(cons(sK45(sK47),nil),nil) = cons(sK45(sK47),nil)
| ~ spl56_108 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1780,plain,
( spl56_123
| ~ spl56_46
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f1675,f1271,f903,f1777]) ).
fof(f1777,plain,
( spl56_123
<=> ssList(sK46(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_123])]) ).
fof(f1675,plain,
( ssList(sK46(nil))
| ~ spl56_46
| ~ spl56_79 ),
inference(backward_demodulation,[],[f1272,f905]) ).
fof(f1775,plain,
( spl56_73
| ~ spl56_46
| ~ spl56_56 ),
inference(avatar_split_clause,[],[f1667,f1002,f903,f1130]) ).
fof(f1130,plain,
( spl56_73
<=> app(nil,sK28(nil)) = sK28(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_73])]) ).
fof(f1002,plain,
( spl56_56
<=> app(nil,sK28(sK47)) = sK28(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_56])]) ).
fof(f1667,plain,
( app(nil,sK28(nil)) = sK28(nil)
| ~ spl56_46
| ~ spl56_56 ),
inference(backward_demodulation,[],[f1004,f905]) ).
fof(f1004,plain,
( app(nil,sK28(sK47)) = sK28(sK47)
| ~ spl56_56 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1771,plain,
( spl56_122
| ~ spl56_46
| ~ spl56_60 ),
inference(avatar_split_clause,[],[f1670,f1022,f903,f1768]) ).
fof(f1670,plain,
( nil = cons(sK43(nil),nil)
| ~ spl56_46
| ~ spl56_60 ),
inference(backward_demodulation,[],[f1024,f905]) ).
fof(f1762,plain,
( ~ spl56_121
| ~ spl56_46
| spl56_92 ),
inference(avatar_split_clause,[],[f1693,f1417,f903,f1759]) ).
fof(f1759,plain,
( spl56_121
<=> nil = app(app(sK15(nil),cons(sK13(nil),sK16(nil))),cons(sK14(nil),sK17(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_121])]) ).
fof(f1417,plain,
( spl56_92
<=> app(app(sK15(sK47),cons(sK13(sK47),sK16(sK47))),cons(sK14(sK47),sK17(sK47))) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_92])]) ).
fof(f1693,plain,
( nil != app(app(sK15(nil),cons(sK13(nil),sK16(nil))),cons(sK14(nil),sK17(nil)))
| ~ spl56_46
| spl56_92 ),
inference(backward_demodulation,[],[f1418,f905]) ).
fof(f1418,plain,
( app(app(sK15(sK47),cons(sK13(sK47),sK16(sK47))),cons(sK14(sK47),sK17(sK47))) != sK47
| spl56_92 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1756,plain,
( spl56_120
| ~ spl56_46
| ~ spl56_82 ),
inference(avatar_split_clause,[],[f1679,f1291,f903,f1753]) ).
fof(f1753,plain,
( spl56_120
<=> app(nil,sK46(nil)) = sK46(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_120])]) ).
fof(f1291,plain,
( spl56_82
<=> app(nil,sK46(sK47)) = sK46(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_82])]) ).
fof(f1679,plain,
( app(nil,sK46(nil)) = sK46(nil)
| ~ spl56_46
| ~ spl56_82 ),
inference(backward_demodulation,[],[f1293,f905]) ).
fof(f1293,plain,
( app(nil,sK46(sK47)) = sK46(sK47)
| ~ spl56_82 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1751,plain,
( spl56_74
| ~ spl56_46
| ~ spl56_57 ),
inference(avatar_split_clause,[],[f1668,f1007,f903,f1135]) ).
fof(f1135,plain,
( spl56_74
<=> cons(sK29(sK28(nil)),sK28(sK28(nil))) = sK28(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_74])]) ).
fof(f1007,plain,
( spl56_57
<=> cons(sK29(sK28(sK47)),sK28(sK28(sK47))) = sK28(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_57])]) ).
fof(f1668,plain,
( cons(sK29(sK28(nil)),sK28(sK28(nil))) = sK28(nil)
| ~ spl56_46
| ~ spl56_57 ),
inference(backward_demodulation,[],[f1009,f905]) ).
fof(f1009,plain,
( cons(sK29(sK28(sK47)),sK28(sK28(sK47))) = sK28(sK47)
| ~ spl56_57 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1749,plain,
( ~ spl56_119
| ~ spl56_46
| spl56_77 ),
inference(avatar_split_clause,[],[f1673,f1193,f903,f1746]) ).
fof(f1746,plain,
( spl56_119
<=> nil = cons(sK29(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_119])]) ).
fof(f1193,plain,
( spl56_77
<=> cons(sK29(sK47),nil) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_77])]) ).
fof(f1673,plain,
( nil != cons(sK29(nil),nil)
| ~ spl56_46
| spl56_77 ),
inference(backward_demodulation,[],[f1194,f905]) ).
fof(f1194,plain,
( cons(sK29(sK47),nil) != sK47
| spl56_77 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1744,plain,
( spl56_118
| ~ spl56_46
| ~ spl56_83 ),
inference(avatar_split_clause,[],[f1680,f1296,f903,f1741]) ).
fof(f1741,plain,
( spl56_118
<=> app(sK46(nil),nil) = sK46(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_118])]) ).
fof(f1296,plain,
( spl56_83
<=> app(sK46(sK47),nil) = sK46(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_83])]) ).
fof(f1680,plain,
( app(sK46(nil),nil) = sK46(nil)
| ~ spl56_46
| ~ spl56_83 ),
inference(backward_demodulation,[],[f1298,f905]) ).
fof(f1298,plain,
( app(sK46(sK47),nil) = sK46(sK47)
| ~ spl56_83 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1738,plain,
( spl56_64
| ~ spl56_44
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1661,f903,f894,f1079]) ).
fof(f1661,plain,
( nil = sK44(nil)
| ~ spl56_44
| ~ spl56_46 ),
inference(backward_demodulation,[],[f896,f905]) ).
fof(f896,plain,
( nil = sK44(sK47)
| ~ spl56_44 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f1737,plain,
( spl56_117
| ~ spl56_46
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f1684,f1336,f903,f1734]) ).
fof(f1734,plain,
( spl56_117
<=> ssList(cons(sK45(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_117])]) ).
fof(f1684,plain,
( ssList(cons(sK45(nil),nil))
| ~ spl56_46
| ~ spl56_87 ),
inference(backward_demodulation,[],[f1337,f905]) ).
fof(f1732,plain,
( spl56_116
| ~ spl56_46
| ~ spl56_80 ),
inference(avatar_split_clause,[],[f1676,f1275,f903,f1729]) ).
fof(f1676,plain,
( ssItem(sK45(nil))
| ~ spl56_46
| ~ spl56_80 ),
inference(backward_demodulation,[],[f1276,f905]) ).
fof(f1726,plain,
( spl56_115
| ~ spl56_46
| ~ spl56_85 ),
inference(avatar_split_clause,[],[f1682,f1305,f903,f1723]) ).
fof(f1723,plain,
( spl56_115
<=> cons(sK29(sK46(nil)),sK28(sK46(nil))) = sK46(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_115])]) ).
fof(f1682,plain,
( cons(sK29(sK46(nil)),sK28(sK46(nil))) = sK46(nil)
| ~ spl56_46
| ~ spl56_85 ),
inference(backward_demodulation,[],[f1307,f905]) ).
fof(f1307,plain,
( cons(sK29(sK46(sK47)),sK28(sK46(sK47))) = sK46(sK47)
| ~ spl56_85 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1720,plain,
( ~ spl56_114
| ~ spl56_46
| spl56_84 ),
inference(avatar_split_clause,[],[f1681,f1301,f903,f1717]) ).
fof(f1681,plain,
( nil != sK46(nil)
| ~ spl56_46
| spl56_84 ),
inference(backward_demodulation,[],[f1302,f905]) ).
fof(f1302,plain,
( nil != sK46(sK47)
| spl56_84 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1714,plain,
( spl56_67
| ~ spl56_46
| ~ spl56_58 ),
inference(avatar_split_clause,[],[f1669,f1012,f903,f1095]) ).
fof(f1095,plain,
( spl56_67
<=> app(sK28(nil),nil) = sK28(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_67])]) ).
fof(f1012,plain,
( spl56_58
<=> app(sK28(sK47),nil) = sK28(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_58])]) ).
fof(f1669,plain,
( app(sK28(nil),nil) = sK28(nil)
| ~ spl56_46
| ~ spl56_58 ),
inference(backward_demodulation,[],[f1014,f905]) ).
fof(f1014,plain,
( app(sK28(sK47),nil) = sK28(sK47)
| ~ spl56_58 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1713,plain,
( spl56_113
| ~ spl56_46
| ~ spl56_107 ),
inference(avatar_split_clause,[],[f1702,f1559,f903,f1710]) ).
fof(f1702,plain,
( cons(sK45(nil),nil) = app(nil,cons(sK45(nil),nil))
| ~ spl56_46
| ~ spl56_107 ),
inference(backward_demodulation,[],[f1561,f905]) ).
fof(f1708,plain,
( spl56_63
| ~ spl56_46
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f1663,f967,f903,f1072]) ).
fof(f1663,plain,
( ssList(sK28(nil))
| ~ spl56_46
| ~ spl56_52 ),
inference(backward_demodulation,[],[f968,f905]) ).
fof(f1648,plain,
( spl56_65
| ~ spl56_29
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1031,f903,f746,f1085]) ).
fof(f1031,plain,
( ssItem(sK43(nil))
| ~ spl56_29
| ~ spl56_46 ),
inference(backward_demodulation,[],[f747,f905]) ).
fof(f747,plain,
( ssItem(sK43(sK47))
| ~ spl56_29 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1638,plain,
( spl56_47
| spl56_46
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f1204,f657,f903,f907]) ).
fof(f1204,plain,
( nil = sK47
| cons(sK29(sK47),sK28(sK47)) = sK47
| ~ spl56_14 ),
inference(resolution,[],[f659,f410]) ).
fof(f1637,plain,
( spl56_45
| spl56_44
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f1209,f750,f894,f898]) ).
fof(f898,plain,
( spl56_45
<=> sK44(sK47) = cons(sK29(sK44(sK47)),sK28(sK44(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_45])]) ).
fof(f1209,plain,
( nil = sK44(sK47)
| sK44(sK47) = cons(sK29(sK44(sK47)),sK28(sK44(sK47)))
| ~ spl56_30 ),
inference(resolution,[],[f751,f410]) ).
fof(f1636,plain,
( ~ spl56_30
| ~ spl56_26
| ~ spl56_46
| spl56_44
| ~ spl56_28
| ~ spl56_60 ),
inference(avatar_split_clause,[],[f1635,f1022,f739,f894,f903,f725,f750]) ).
fof(f1635,plain,
( nil = sK44(sK47)
| nil != sK47
| ~ ssList(nil)
| ~ ssList(sK44(sK47))
| ~ spl56_28
| ~ spl56_60 ),
inference(forward_demodulation,[],[f1580,f1024]) ).
fof(f1634,plain,
( spl56_103
| ~ spl56_28
| ~ spl56_60 ),
inference(avatar_split_clause,[],[f1623,f1022,f739,f1524]) ).
fof(f1623,plain,
( app(nil,sK44(sK47)) = sK47
| ~ spl56_28
| ~ spl56_60 ),
inference(backward_demodulation,[],[f741,f1024]) ).
fof(f1622,plain,
( spl56_42
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1621,f903,f816,f637,f837]) ).
fof(f1621,plain,
( sK40 = sK39
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(forward_demodulation,[],[f1027,f818]) ).
fof(f1620,plain,
( spl56_44
| ~ spl56_30
| ~ spl56_46
| ~ spl56_59
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1310,f739,f1017,f903,f750,f894]) ).
fof(f1310,plain,
( ~ ssList(cons(sK43(sK47),nil))
| nil != sK47
| ~ ssList(sK44(sK47))
| nil = sK44(sK47)
| ~ spl56_28 ),
inference(superposition,[],[f424,f741]) ).
fof(f1619,plain,
( ~ spl56_50
| spl56_111
| ~ spl56_52
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1592,f907,f967,f1611,f959]) ).
fof(f1611,plain,
( spl56_111
<=> ! [X2,X3] :
( ~ ssList(X3)
| sK29(sK47) = X2
| ~ ssItem(X2)
| cons(X2,X3) != sK47 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_111])]) ).
fof(f1592,plain,
( ! [X0,X1] :
( ~ ssList(sK28(sK47))
| sK29(sK47) = X0
| ~ ssItem(X0)
| cons(X0,X1) != sK47
| ~ ssList(X1)
| ~ ssItem(sK29(sK47)) )
| ~ spl56_47 ),
inference(superposition,[],[f460,f909]) ).
fof(f1618,plain,
( ~ spl56_52
| ~ spl56_50
| spl56_109
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1594,f907,f1603,f959,f967]) ).
fof(f1603,plain,
( spl56_109
<=> ! [X6,X7] :
( sK28(sK47) = X7
| ~ ssItem(X6)
| ~ ssList(X7)
| cons(X6,X7) != sK47 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_109])]) ).
fof(f1594,plain,
( ! [X4,X5] :
( sK28(sK47) = X5
| ~ ssItem(sK29(sK47))
| ~ ssItem(X4)
| sK47 != cons(X4,X5)
| ~ ssList(sK28(sK47))
| ~ ssList(X5) )
| ~ spl56_47 ),
inference(superposition,[],[f461,f909]) ).
fof(f1617,plain,
( ~ spl56_52
| spl56_112
| ~ spl56_50
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1600,f907,f959,f1615,f967]) ).
fof(f1615,plain,
( spl56_112
<=> ! [X9,X8,X10] :
( ~ ssList(X10)
| ~ ssList(X8)
| ~ strictorderedP(app(app(X8,sK47),cons(X9,X10)))
| ~ ssItem(X9)
| ~ ssList(app(app(X8,sK47),cons(X9,X10)))
| lt(sK29(sK47),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_112])]) ).
fof(f1600,plain,
( ! [X10,X8,X9] :
( ~ ssItem(sK29(sK47))
| ~ ssList(X10)
| lt(sK29(sK47),X9)
| ~ ssList(app(app(X8,sK47),cons(X9,X10)))
| ~ ssList(sK28(sK47))
| ~ ssItem(X9)
| ~ strictorderedP(app(app(X8,sK47),cons(X9,X10)))
| ~ ssList(X8) )
| ~ spl56_47 ),
inference(superposition,[],[f567,f909]) ).
fof(f1613,plain,
( ~ spl56_52
| spl56_111
| ~ spl56_50
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1593,f907,f959,f1611,f967]) ).
fof(f1593,plain,
( ! [X2,X3] :
( ~ ssItem(sK29(sK47))
| ~ ssList(X3)
| cons(X2,X3) != sK47
| ~ ssList(sK28(sK47))
| ~ ssItem(X2)
| sK29(sK47) = X2 )
| ~ spl56_47 ),
inference(superposition,[],[f460,f909]) ).
fof(f1609,plain,
( ~ spl56_52
| ~ spl56_50
| spl56_110
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1601,f907,f1607,f959,f967]) ).
fof(f1607,plain,
( spl56_110
<=> ! [X13,X12,X11] :
( ~ ssList(X11)
| ~ ssItem(X12)
| ~ ssList(X13)
| ~ ssList(app(app(X11,cons(X12,X13)),sK47))
| lt(X12,sK29(sK47))
| ~ strictorderedP(app(app(X11,cons(X12,X13)),sK47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_110])]) ).
fof(f1601,plain,
( ! [X11,X12,X13] :
( ~ ssList(X11)
| ~ strictorderedP(app(app(X11,cons(X12,X13)),sK47))
| lt(X12,sK29(sK47))
| ~ ssList(app(app(X11,cons(X12,X13)),sK47))
| ~ ssItem(sK29(sK47))
| ~ ssList(sK28(sK47))
| ~ ssList(X13)
| ~ ssItem(X12) )
| ~ spl56_47 ),
inference(superposition,[],[f567,f909]) ).
fof(f1605,plain,
( ~ spl56_52
| spl56_109
| ~ spl56_50
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1595,f907,f959,f1603,f967]) ).
fof(f1595,plain,
( ! [X6,X7] :
( ~ ssItem(sK29(sK47))
| sK28(sK47) = X7
| ~ ssList(sK28(sK47))
| cons(X6,X7) != sK47
| ~ ssList(X7)
| ~ ssItem(X6) )
| ~ spl56_47 ),
inference(superposition,[],[f461,f909]) ).
fof(f1567,plain,
( spl56_108
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f1546,f1336,f1564]) ).
fof(f1546,plain,
( app(cons(sK45(sK47),nil),nil) = cons(sK45(sK47),nil)
| ~ spl56_87 ),
inference(resolution,[],[f1337,f407]) ).
fof(f1562,plain,
( spl56_107
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f1547,f1336,f1559]) ).
fof(f1547,plain,
( cons(sK45(sK47),nil) = app(nil,cons(sK45(sK47),nil))
| ~ spl56_87 ),
inference(resolution,[],[f1337,f375]) ).
fof(f1556,plain,
( spl56_105
| spl56_106
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f1544,f1336,f1553,f1549]) ).
fof(f1544,plain,
( cons(sK45(sK47),nil) = cons(sK29(cons(sK45(sK47),nil)),sK28(cons(sK45(sK47),nil)))
| nil = cons(sK45(sK47),nil)
| ~ spl56_87 ),
inference(resolution,[],[f1337,f410]) ).
fof(f1542,plain,
( ~ spl56_79
| spl56_104
| ~ spl56_87
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f1357,f732,f1336,f1539,f1271]) ).
fof(f1539,plain,
( spl56_104
<=> ! [X5] :
( ~ ssList(X5)
| cons(sK45(sK47),nil) = X5
| sK39 != app(sK46(sK47),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_104])]) ).
fof(f1357,plain,
( ! [X5] :
( ~ ssList(cons(sK45(sK47),nil))
| ~ ssList(X5)
| ~ ssList(sK46(sK47))
| sK39 != app(sK46(sK47),X5)
| cons(sK45(sK47),nil) = X5 )
| ~ spl56_27 ),
inference(superposition,[],[f535,f734]) ).
fof(f1541,plain,
( ~ spl56_79
| spl56_104
| ~ spl56_87
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f1363,f732,f1336,f1539,f1271]) ).
fof(f1363,plain,
( ! [X5] :
( ~ ssList(cons(sK45(sK47),nil))
| ~ ssList(X5)
| sK39 != app(sK46(sK47),X5)
| cons(sK45(sK47),nil) = X5
| ~ ssList(sK46(sK47)) )
| ~ spl56_27 ),
inference(superposition,[],[f535,f734]) ).
fof(f1537,plain,
( ~ spl56_80
| ~ spl56_26
| spl56_87 ),
inference(avatar_split_clause,[],[f1536,f1336,f725,f1275]) ).
fof(f1536,plain,
( ~ ssList(nil)
| ~ ssItem(sK45(sK47))
| spl56_87 ),
inference(resolution,[],[f1338,f426]) ).
fof(f1338,plain,
( ~ ssList(cons(sK45(sK47),nil))
| spl56_87 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1527,plain,
( spl56_103
| ~ spl56_28
| ~ spl56_60 ),
inference(avatar_split_clause,[],[f1513,f1022,f739,f1524]) ).
fof(f1511,plain,
( spl56_102
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f1496,f1017,f1508]) ).
fof(f1508,plain,
( spl56_102
<=> cons(sK43(sK47),nil) = app(nil,cons(sK43(sK47),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_102])]) ).
fof(f1496,plain,
( cons(sK43(sK47),nil) = app(nil,cons(sK43(sK47),nil))
| ~ spl56_59 ),
inference(resolution,[],[f1018,f375]) ).
fof(f1506,plain,
( spl56_101
| spl56_60
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f1493,f1017,f1022,f1503]) ).
fof(f1493,plain,
( nil = cons(sK43(sK47),nil)
| cons(sK29(cons(sK43(sK47),nil)),sK28(cons(sK43(sK47),nil))) = cons(sK43(sK47),nil)
| ~ spl56_59 ),
inference(resolution,[],[f1018,f410]) ).
fof(f1501,plain,
( spl56_100
| ~ spl56_59 ),
inference(avatar_split_clause,[],[f1495,f1017,f1498]) ).
fof(f1498,plain,
( spl56_100
<=> app(cons(sK43(sK47),nil),nil) = cons(sK43(sK47),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_100])]) ).
fof(f1495,plain,
( app(cons(sK43(sK47),nil),nil) = cons(sK43(sK47),nil)
| ~ spl56_59 ),
inference(resolution,[],[f1018,f407]) ).
fof(f1491,plain,
( ~ spl56_59
| ~ spl56_30
| spl56_99
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1321,f739,f1488,f750,f1017]) ).
fof(f1488,plain,
( spl56_99
<=> ! [X0] :
( sK47 != app(X0,sK44(sK47))
| ~ ssList(X0)
| cons(sK43(sK47),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_99])]) ).
fof(f1321,plain,
( ! [X0] :
( sK47 != app(X0,sK44(sK47))
| ~ ssList(X0)
| cons(sK43(sK47),nil) = X0
| ~ ssList(sK44(sK47))
| ~ ssList(cons(sK43(sK47),nil)) )
| ~ spl56_28 ),
inference(superposition,[],[f518,f741]) ).
fof(f1490,plain,
( ~ spl56_59
| ~ spl56_30
| spl56_99
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1315,f739,f1488,f750,f1017]) ).
fof(f1315,plain,
( ! [X0] :
( sK47 != app(X0,sK44(sK47))
| cons(sK43(sK47),nil) = X0
| ~ ssList(X0)
| ~ ssList(sK44(sK47))
| ~ ssList(cons(sK43(sK47),nil)) )
| ~ spl56_28 ),
inference(superposition,[],[f518,f741]) ).
fof(f1486,plain,
( ~ spl56_30
| ~ spl56_59
| spl56_98
| ~ spl56_28
| ~ spl56_29 ),
inference(avatar_split_clause,[],[f1485,f746,f739,f1482,f1017,f750]) ).
fof(f1482,plain,
( spl56_98
<=> ! [X0] :
( sK47 != cons(sK43(sK47),X0)
| sK44(sK47) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_98])]) ).
fof(f1485,plain,
( ! [X0] :
( sK44(sK47) = X0
| ~ ssList(cons(sK43(sK47),nil))
| sK47 != cons(sK43(sK47),X0)
| ~ ssList(X0)
| ~ ssList(sK44(sK47)) )
| ~ spl56_28
| ~ spl56_29 ),
inference(forward_subsumption_demodulation,[],[f1358,f951]) ).
fof(f951,plain,
( ! [X10] :
( ~ ssList(X10)
| app(cons(sK43(sK47),nil),X10) = cons(sK43(sK47),X10) )
| ~ spl56_29 ),
inference(resolution,[],[f384,f747]) ).
fof(f1358,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sK44(sK47))
| app(cons(sK43(sK47),nil),X0) != sK47
| ~ ssList(cons(sK43(sK47),nil))
| sK44(sK47) = X0 )
| ~ spl56_28 ),
inference(superposition,[],[f535,f741]) ).
fof(f1484,plain,
( ~ spl56_59
| ~ spl56_30
| spl56_98
| ~ spl56_28
| ~ spl56_29 ),
inference(avatar_split_clause,[],[f1480,f746,f739,f1482,f750,f1017]) ).
fof(f1480,plain,
( ! [X0] :
( sK47 != cons(sK43(sK47),X0)
| ~ ssList(X0)
| sK44(sK47) = X0
| ~ ssList(sK44(sK47))
| ~ ssList(cons(sK43(sK47),nil)) )
| ~ spl56_28
| ~ spl56_29 ),
inference(forward_subsumption_demodulation,[],[f1352,f951]) ).
fof(f1352,plain,
( ! [X0] :
( sK44(sK47) = X0
| app(cons(sK43(sK47),nil),X0) != sK47
| ~ ssList(X0)
| ~ ssList(sK44(sK47))
| ~ ssList(cons(sK43(sK47),nil)) )
| ~ spl56_28 ),
inference(superposition,[],[f535,f741]) ).
fof(f1479,plain,
( ~ spl56_26
| ~ spl56_29
| spl56_59 ),
inference(avatar_split_clause,[],[f1478,f1017,f746,f725]) ).
fof(f1478,plain,
( ~ ssItem(sK43(sK47))
| ~ ssList(nil)
| spl56_59 ),
inference(resolution,[],[f1019,f426]) ).
fof(f1019,plain,
( ~ ssList(cons(sK43(sK47),nil))
| spl56_59 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1477,plain,
( ~ spl56_26
| spl56_97
| ~ spl56_14
| ~ spl56_40 ),
inference(avatar_split_clause,[],[f1466,f826,f657,f1473,f725]) ).
fof(f1473,plain,
( spl56_97
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| sK47 != app(sK47,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_97])]) ).
fof(f826,plain,
( spl56_40
<=> app(sK47,nil) = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_40])]) ).
fof(f1466,plain,
( ! [X1] :
( ~ ssList(sK47)
| app(sK47,X1) != sK47
| ~ ssList(nil)
| nil = X1
| ~ ssList(X1) )
| ~ spl56_40 ),
inference(superposition,[],[f535,f828]) ).
fof(f828,plain,
( app(sK47,nil) = sK47
| ~ spl56_40 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f1475,plain,
( ~ spl56_26
| spl56_97
| ~ spl56_14
| ~ spl56_40 ),
inference(avatar_split_clause,[],[f1465,f826,f657,f1473,f725]) ).
fof(f1465,plain,
( ! [X0] :
( ~ ssList(sK47)
| ~ ssList(X0)
| ~ ssList(nil)
| sK47 != app(sK47,X0)
| nil = X0 )
| ~ spl56_40 ),
inference(superposition,[],[f535,f828]) ).
fof(f1464,plain,
( ~ spl56_26
| ~ spl56_18
| spl56_96
| ~ spl56_39 ),
inference(avatar_split_clause,[],[f1453,f821,f1460,f677,f725]) ).
fof(f1460,plain,
( spl56_96
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK40 != app(sK40,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_96])]) ).
fof(f821,plain,
( spl56_39
<=> app(sK40,nil) = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_39])]) ).
fof(f1453,plain,
( ! [X1] :
( ~ ssList(X1)
| sK40 != app(sK40,X1)
| ~ ssList(sK40)
| ~ ssList(nil)
| nil = X1 )
| ~ spl56_39 ),
inference(superposition,[],[f535,f823]) ).
fof(f823,plain,
( app(sK40,nil) = sK40
| ~ spl56_39 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1462,plain,
( spl56_96
| ~ spl56_26
| ~ spl56_18
| ~ spl56_39 ),
inference(avatar_split_clause,[],[f1452,f821,f677,f725,f1460]) ).
fof(f1452,plain,
( ! [X0] :
( ~ ssList(sK40)
| ~ ssList(nil)
| nil = X0
| sK40 != app(sK40,X0)
| ~ ssList(X0) )
| ~ spl56_39 ),
inference(superposition,[],[f535,f823]) ).
fof(f1451,plain,
( ~ spl56_26
| ~ spl56_18
| spl56_95
| ~ spl56_35 ),
inference(avatar_split_clause,[],[f1441,f783,f1448,f677,f725]) ).
fof(f1448,plain,
( spl56_95
<=> ! [X3] :
( app(X3,sK40) != sK40
| nil = X3
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_95])]) ).
fof(f783,plain,
( spl56_35
<=> app(nil,sK40) = sK40 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_35])]) ).
fof(f1441,plain,
( ! [X2] :
( ~ ssList(X2)
| app(X2,sK40) != sK40
| nil = X2
| ~ ssList(sK40)
| ~ ssList(nil) )
| ~ spl56_35 ),
inference(superposition,[],[f518,f785]) ).
fof(f785,plain,
( app(nil,sK40) = sK40
| ~ spl56_35 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f1450,plain,
( ~ spl56_18
| spl56_95
| ~ spl56_26
| ~ spl56_35 ),
inference(avatar_split_clause,[],[f1442,f783,f725,f1448,f677]) ).
fof(f1442,plain,
( ! [X3] :
( ~ ssList(nil)
| app(X3,sK40) != sK40
| ~ ssList(sK40)
| ~ ssList(X3)
| nil = X3 )
| ~ spl56_35 ),
inference(superposition,[],[f518,f785]) ).
fof(f1438,plain,
( ~ spl56_14
| ~ spl56_26
| spl56_94
| ~ spl56_34 ),
inference(avatar_split_clause,[],[f1428,f778,f1434,f725,f657]) ).
fof(f1434,plain,
( spl56_94
<=> ! [X3] :
( nil = X3
| ~ ssList(X3)
| sK47 != app(X3,sK47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_94])]) ).
fof(f1428,plain,
( ! [X2] :
( nil = X2
| ~ ssList(nil)
| app(X2,sK47) != sK47
| ~ ssList(X2)
| ~ ssList(sK47) )
| ~ spl56_34 ),
inference(superposition,[],[f518,f780]) ).
fof(f1436,plain,
( ~ spl56_26
| spl56_94
| ~ spl56_14
| ~ spl56_34 ),
inference(avatar_split_clause,[],[f1429,f778,f657,f1434,f725]) ).
fof(f1429,plain,
( ! [X3] :
( ~ ssList(sK47)
| nil = X3
| ~ ssList(nil)
| sK47 != app(X3,sK47)
| ~ ssList(X3) )
| ~ spl56_34 ),
inference(superposition,[],[f518,f780]) ).
fof(f1425,plain,
( ~ spl56_26
| ~ spl56_80
| spl56_93
| ~ spl56_79
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f1421,f732,f1271,f1423,f1275,f725]) ).
fof(f1421,plain,
( ! [X0,X1] :
( ~ ssList(sK46(sK47))
| ~ ssList(X1)
| ~ ssItem(X0)
| lt(sK45(sK47),X0)
| ~ ssItem(sK45(sK47))
| ~ strictorderedP(app(sK39,cons(X0,X1)))
| ~ ssList(nil)
| ~ ssList(app(sK39,cons(X0,X1))) )
| ~ spl56_27 ),
inference(superposition,[],[f567,f734]) ).
fof(f1420,plain,
( spl56_92
| ~ spl56_14
| spl56_53 ),
inference(avatar_split_clause,[],[f1414,f981,f657,f1417]) ).
fof(f1414,plain,
( ~ ssList(sK47)
| app(app(sK15(sK47),cons(sK13(sK47),sK16(sK47))),cons(sK14(sK47),sK17(sK47))) = sK47
| spl56_53 ),
inference(resolution,[],[f378,f983]) ).
fof(f1379,plain,
( ~ spl56_26
| ~ spl56_16
| spl56_91
| ~ spl56_38 ),
inference(avatar_split_clause,[],[f1355,f816,f1375,f667,f725]) ).
fof(f1375,plain,
( spl56_91
<=> ! [X3] :
( app(sK39,X3) != sK39
| nil = X3
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_91])]) ).
fof(f1355,plain,
( ! [X3] :
( app(sK39,X3) != sK39
| ~ ssList(X3)
| ~ ssList(sK39)
| ~ ssList(nil)
| nil = X3 )
| ~ spl56_38 ),
inference(superposition,[],[f535,f818]) ).
fof(f1377,plain,
( ~ spl56_26
| ~ spl56_16
| spl56_91
| ~ spl56_38 ),
inference(avatar_split_clause,[],[f1361,f816,f1375,f667,f725]) ).
fof(f1361,plain,
( ! [X3] :
( app(sK39,X3) != sK39
| ~ ssList(X3)
| ~ ssList(sK39)
| nil = X3
| ~ ssList(nil) )
| ~ spl56_38 ),
inference(superposition,[],[f535,f818]) ).
fof(f1373,plain,
( ~ spl56_16
| ~ spl56_14
| spl56_90
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f1356,f637,f1370,f657,f667]) ).
fof(f1370,plain,
( spl56_90
<=> ! [X4] :
( sK47 = X4
| ~ ssList(X4)
| sK40 != app(sK39,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_90])]) ).
fof(f1356,plain,
( ! [X4] :
( sK40 != app(sK39,X4)
| ~ ssList(sK47)
| sK47 = X4
| ~ ssList(sK39)
| ~ ssList(X4) )
| ~ spl56_10 ),
inference(superposition,[],[f535,f639]) ).
fof(f1372,plain,
( ~ spl56_16
| spl56_90
| ~ spl56_14
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f1362,f637,f657,f1370,f667]) ).
fof(f1362,plain,
( ! [X4] :
( ~ ssList(sK47)
| sK47 = X4
| sK40 != app(sK39,X4)
| ~ ssList(X4)
| ~ ssList(sK39) )
| ~ spl56_10 ),
inference(superposition,[],[f535,f639]) ).
fof(f1350,plain,
( ~ spl56_14
| spl56_89
| ~ spl56_16
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f1319,f637,f667,f1345,f657]) ).
fof(f1319,plain,
( ! [X4] :
( ~ ssList(sK39)
| ~ ssList(X4)
| sK40 != app(X4,sK47)
| ~ ssList(sK47)
| sK39 = X4 )
| ~ spl56_10 ),
inference(superposition,[],[f518,f639]) ).
fof(f1349,plain,
( ~ spl56_87
| ~ spl56_79
| spl56_86
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f1320,f732,f1333,f1271,f1336]) ).
fof(f1333,plain,
( spl56_86
<=> ! [X5] :
( app(X5,cons(sK45(sK47),nil)) != sK39
| sK46(sK47) = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_86])]) ).
fof(f1320,plain,
( ! [X5] :
( app(X5,cons(sK45(sK47),nil)) != sK39
| ~ ssList(sK46(sK47))
| sK46(sK47) = X5
| ~ ssList(cons(sK45(sK47),nil))
| ~ ssList(X5) )
| ~ spl56_27 ),
inference(superposition,[],[f518,f734]) ).
fof(f1348,plain,
( ~ spl56_26
| spl56_88
| ~ spl56_16
| ~ spl56_32 ),
inference(avatar_split_clause,[],[f1317,f768,f667,f1341,f725]) ).
fof(f1341,plain,
( spl56_88
<=> ! [X2] :
( ~ ssList(X2)
| nil = X2
| sK39 != app(X2,sK39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_88])]) ).
fof(f1317,plain,
( ! [X2] :
( ~ ssList(sK39)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil)
| sK39 != app(X2,sK39) )
| ~ spl56_32 ),
inference(superposition,[],[f518,f770]) ).
fof(f1347,plain,
( ~ spl56_14
| ~ spl56_16
| spl56_89
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f1325,f637,f1345,f667,f657]) ).
fof(f1325,plain,
( ! [X4] :
( sK40 != app(X4,sK47)
| ~ ssList(sK39)
| ~ ssList(X4)
| ~ ssList(sK47)
| sK39 = X4 )
| ~ spl56_10 ),
inference(superposition,[],[f518,f639]) ).
fof(f1343,plain,
( ~ spl56_26
| spl56_88
| ~ spl56_16
| ~ spl56_32 ),
inference(avatar_split_clause,[],[f1323,f768,f667,f1341,f725]) ).
fof(f1323,plain,
( ! [X2] :
( ~ ssList(sK39)
| ~ ssList(X2)
| ~ ssList(nil)
| sK39 != app(X2,sK39)
| nil = X2 )
| ~ spl56_32 ),
inference(superposition,[],[f518,f770]) ).
fof(f1339,plain,
( ~ spl56_79
| spl56_86
| ~ spl56_87
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f1326,f732,f1336,f1333,f1271]) ).
fof(f1326,plain,
( ! [X5] :
( ~ ssList(cons(sK45(sK47),nil))
| app(X5,cons(sK45(sK47),nil)) != sK39
| ~ ssList(sK46(sK47))
| ~ ssList(X5)
| sK46(sK47) = X5 )
| ~ spl56_27 ),
inference(superposition,[],[f518,f734]) ).
fof(f1314,plain,
( ~ spl56_14
| ~ spl56_10
| ~ spl56_12
| spl56_80 ),
inference(avatar_split_clause,[],[f1313,f1275,f647,f637,f657]) ).
fof(f647,plain,
( spl56_12
<=> ! [X4] :
( sK40 != app(sK39,X4)
| ~ ssList(X4)
| ssItem(sK45(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_12])]) ).
fof(f1313,plain,
( ~ ssList(sK47)
| ~ spl56_10
| ~ spl56_12
| spl56_80 ),
inference(trivial_inequality_removal,[],[f1312]) ).
fof(f1312,plain,
( ~ ssList(sK47)
| sK40 != sK40
| ~ spl56_10
| ~ spl56_12
| spl56_80 ),
inference(forward_demodulation,[],[f1311,f639]) ).
fof(f1311,plain,
( ~ ssList(sK47)
| sK40 != app(sK39,sK47)
| ~ spl56_12
| spl56_80 ),
inference(resolution,[],[f1277,f648]) ).
fof(f648,plain,
( ! [X4] :
( ssItem(sK45(X4))
| ~ ssList(X4)
| sK40 != app(sK39,X4) )
| ~ spl56_12 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1277,plain,
( ~ ssItem(sK45(sK47))
| spl56_80 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1308,plain,
( spl56_84
| spl56_85
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f1286,f1271,f1305,f1301]) ).
fof(f1286,plain,
( cons(sK29(sK46(sK47)),sK28(sK46(sK47))) = sK46(sK47)
| nil = sK46(sK47)
| ~ spl56_79 ),
inference(resolution,[],[f1272,f410]) ).
fof(f1299,plain,
( spl56_83
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f1288,f1271,f1296]) ).
fof(f1288,plain,
( app(sK46(sK47),nil) = sK46(sK47)
| ~ spl56_79 ),
inference(resolution,[],[f1272,f407]) ).
fof(f1294,plain,
( spl56_82
| ~ spl56_79 ),
inference(avatar_split_clause,[],[f1289,f1271,f1291]) ).
fof(f1289,plain,
( app(nil,sK46(sK47)) = sK46(sK47)
| ~ spl56_79 ),
inference(resolution,[],[f1272,f375]) ).
fof(f1285,plain,
( ~ spl56_14
| ~ spl56_4
| ~ spl56_10
| spl56_79 ),
inference(avatar_split_clause,[],[f1284,f1271,f637,f610,f657]) ).
fof(f1284,plain,
( ~ ssList(sK47)
| ~ spl56_4
| ~ spl56_10
| spl56_79 ),
inference(trivial_inequality_removal,[],[f1283]) ).
fof(f1283,plain,
( sK40 != sK40
| ~ ssList(sK47)
| ~ spl56_4
| ~ spl56_10
| spl56_79 ),
inference(forward_demodulation,[],[f1282,f639]) ).
fof(f1282,plain,
( ~ ssList(sK47)
| sK40 != app(sK39,sK47)
| ~ spl56_4
| spl56_79 ),
inference(resolution,[],[f1273,f611]) ).
fof(f1273,plain,
( ~ ssList(sK46(sK47))
| spl56_79 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1281,plain,
( ~ spl56_79
| ~ spl56_80
| spl56_81
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f1269,f732,f1279,f1275,f1271]) ).
fof(f1269,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK47
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK45(sK47))
| ~ ssList(sK46(sK47))
| ~ lt(sK45(sK47),X0) )
| ~ spl56_27 ),
inference(trivial_inequality_removal,[],[f1266]) ).
fof(f1266,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,X1) != sK47
| sK39 != sK39
| ~ ssItem(sK45(sK47))
| ~ lt(sK45(sK47),X0)
| ~ ssList(X1)
| ~ ssList(sK46(sK47)) )
| ~ spl56_27 ),
inference(superposition,[],[f1180,f734]) ).
fof(f1227,plain,
( ~ spl56_26
| ~ spl56_8
| ~ spl56_38
| ~ spl56_42
| spl56_65 ),
inference(avatar_split_clause,[],[f1226,f1085,f837,f816,f629,f725]) ).
fof(f1226,plain,
( ~ ssList(nil)
| ~ spl56_8
| ~ spl56_38
| ~ spl56_42
| spl56_65 ),
inference(trivial_inequality_removal,[],[f1225]) ).
fof(f1225,plain,
( sK39 != sK39
| ~ ssList(nil)
| ~ spl56_8
| ~ spl56_38
| ~ spl56_42
| spl56_65 ),
inference(forward_demodulation,[],[f1223,f818]) ).
fof(f1223,plain,
( ~ ssList(nil)
| app(sK39,nil) != sK39
| ~ spl56_8
| ~ spl56_42
| spl56_65 ),
inference(resolution,[],[f1151,f1086]) ).
fof(f1151,plain,
( ! [X4] :
( ssItem(sK43(X4))
| ~ ssList(X4)
| app(sK39,X4) != sK39 )
| ~ spl56_8
| ~ spl56_42 ),
inference(backward_demodulation,[],[f630,f838]) ).
fof(f1202,plain,
( spl56_78
| ~ spl56_10
| ~ spl56_42 ),
inference(avatar_split_clause,[],[f1197,f837,f637,f1199]) ).
fof(f1197,plain,
( app(sK39,sK47) = sK39
| ~ spl56_10
| ~ spl56_42 ),
inference(forward_demodulation,[],[f639,f838]) ).
fof(f1196,plain,
( spl56_77
| ~ spl56_47
| ~ spl56_54 ),
inference(avatar_split_clause,[],[f1187,f985,f907,f1193]) ).
fof(f1187,plain,
( cons(sK29(sK47),nil) = sK47
| ~ spl56_47
| ~ spl56_54 ),
inference(backward_demodulation,[],[f909,f987]) ).
fof(f987,plain,
( nil = sK28(sK47)
| ~ spl56_54 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1185,plain,
( ~ spl56_53
| ~ spl56_50
| ~ spl56_52
| spl56_54
| spl56_76
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f995,f907,f1182,f985,f967,f959,f981]) ).
fof(f995,plain,
( lt(sK29(sK47),hd(sK28(sK47)))
| nil = sK28(sK47)
| ~ ssList(sK28(sK47))
| ~ ssItem(sK29(sK47))
| ~ strictorderedP(sK47)
| ~ spl56_47 ),
inference(superposition,[],[f524,f909]) ).
fof(f1148,plain,
( ~ spl56_71
| spl56_66
| spl56_75
| ~ spl56_13
| ~ spl56_63
| ~ spl56_46
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1143,f907,f903,f1072,f651,f1145,f1090,f1120]) ).
fof(f1120,plain,
( spl56_71
<=> ssItem(sK29(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_71])]) ).
fof(f1145,plain,
( spl56_75
<=> lt(sK29(nil),hd(sK28(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_75])]) ).
fof(f651,plain,
( spl56_13
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_13])]) ).
fof(f1143,plain,
( ~ ssList(sK28(nil))
| ~ strictorderedP(nil)
| lt(sK29(nil),hd(sK28(nil)))
| nil = sK28(nil)
| ~ ssItem(sK29(nil))
| ~ spl56_46
| ~ spl56_47 ),
inference(forward_demodulation,[],[f1142,f905]) ).
fof(f1142,plain,
( nil = sK28(nil)
| lt(sK29(nil),hd(sK28(nil)))
| ~ ssItem(sK29(nil))
| ~ strictorderedP(sK47)
| ~ ssList(sK28(nil))
| ~ spl56_46
| ~ spl56_47 ),
inference(forward_demodulation,[],[f1141,f905]) ).
fof(f1141,plain,
( ~ ssList(sK28(nil))
| ~ ssItem(sK29(nil))
| lt(sK29(sK47),hd(sK28(sK47)))
| ~ strictorderedP(sK47)
| nil = sK28(nil)
| ~ spl56_46
| ~ spl56_47 ),
inference(forward_demodulation,[],[f1140,f905]) ).
fof(f1140,plain,
( nil = sK28(sK47)
| ~ ssItem(sK29(nil))
| lt(sK29(sK47),hd(sK28(sK47)))
| ~ strictorderedP(sK47)
| ~ ssList(sK28(nil))
| ~ spl56_46
| ~ spl56_47 ),
inference(forward_demodulation,[],[f1139,f905]) ).
fof(f1139,plain,
( ~ ssItem(sK29(nil))
| ~ ssList(sK28(sK47))
| lt(sK29(sK47),hd(sK28(sK47)))
| ~ strictorderedP(sK47)
| nil = sK28(sK47)
| ~ spl56_46
| ~ spl56_47 ),
inference(forward_demodulation,[],[f995,f905]) ).
fof(f1138,plain,
( ~ spl56_74
| ~ spl56_46
| spl56_57 ),
inference(avatar_split_clause,[],[f1056,f1007,f903,f1135]) ).
fof(f1056,plain,
( cons(sK29(sK28(nil)),sK28(sK28(nil))) != sK28(nil)
| ~ spl56_46
| spl56_57 ),
inference(backward_demodulation,[],[f1008,f905]) ).
fof(f1008,plain,
( cons(sK29(sK28(sK47)),sK28(sK28(sK47))) != sK28(sK47)
| spl56_57 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1133,plain,
( ~ spl56_73
| ~ spl56_46
| spl56_56 ),
inference(avatar_split_clause,[],[f1055,f1002,f903,f1130]) ).
fof(f1055,plain,
( app(nil,sK28(nil)) != sK28(nil)
| ~ spl56_46
| spl56_56 ),
inference(backward_demodulation,[],[f1003,f905]) ).
fof(f1003,plain,
( app(nil,sK28(sK47)) != sK28(sK47)
| spl56_56 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1128,plain,
( spl56_72
| ~ spl56_37
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1036,f903,f811,f1125]) ).
fof(f1125,plain,
( spl56_72
<=> app(sK44(nil),nil) = sK44(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_72])]) ).
fof(f1036,plain,
( app(sK44(nil),nil) = sK44(nil)
| ~ spl56_37
| ~ spl56_46 ),
inference(backward_demodulation,[],[f813,f905]) ).
fof(f1123,plain,
( spl56_71
| ~ spl56_46
| ~ spl56_50 ),
inference(avatar_split_clause,[],[f1048,f959,f903,f1120]) ).
fof(f1048,plain,
( ssItem(sK29(nil))
| ~ spl56_46
| ~ spl56_50 ),
inference(backward_demodulation,[],[f960,f905]) ).
fof(f960,plain,
( ssItem(sK29(sK47))
| ~ spl56_50 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1118,plain,
( ~ spl56_66
| ~ spl56_46
| spl56_54 ),
inference(avatar_split_clause,[],[f1053,f985,f903,f1090]) ).
fof(f1053,plain,
( nil != sK28(nil)
| ~ spl56_46
| spl56_54 ),
inference(backward_demodulation,[],[f986,f905]) ).
fof(f986,plain,
( nil != sK28(sK47)
| spl56_54 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1116,plain,
( spl56_70
| ~ spl56_30
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1032,f903,f750,f1113]) ).
fof(f1111,plain,
( spl56_69
| ~ spl56_45
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1045,f903,f898,f1108]) ).
fof(f1108,plain,
( spl56_69
<=> sK44(nil) = cons(sK29(sK44(nil)),sK28(sK44(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_69])]) ).
fof(f1045,plain,
( sK44(nil) = cons(sK29(sK44(nil)),sK28(sK44(nil)))
| ~ spl56_45
| ~ spl56_46 ),
inference(backward_demodulation,[],[f900,f905]) ).
fof(f900,plain,
( sK44(sK47) = cons(sK29(sK44(sK47)),sK28(sK44(sK47)))
| ~ spl56_45 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f1103,plain,
( ~ spl56_68
| ~ spl56_46
| spl56_55 ),
inference(avatar_split_clause,[],[f1054,f989,f903,f1100]) ).
fof(f1054,plain,
( ~ strictorderedP(sK28(nil))
| ~ spl56_46
| spl56_55 ),
inference(backward_demodulation,[],[f990,f905]) ).
fof(f990,plain,
( ~ strictorderedP(sK28(sK47))
| spl56_55 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1098,plain,
( ~ spl56_67
| ~ spl56_46
| spl56_58 ),
inference(avatar_split_clause,[],[f1057,f1012,f903,f1095]) ).
fof(f1057,plain,
( app(sK28(nil),nil) != sK28(nil)
| ~ spl56_46
| spl56_58 ),
inference(backward_demodulation,[],[f1013,f905]) ).
fof(f1013,plain,
( app(sK28(sK47),nil) != sK28(sK47)
| spl56_58 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1093,plain,
( ~ spl56_66
| ~ spl56_46
| spl56_51 ),
inference(avatar_split_clause,[],[f1049,f963,f903,f1090]) ).
fof(f963,plain,
( spl56_51
<=> sK47 = sK28(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_51])]) ).
fof(f1049,plain,
( nil != sK28(nil)
| ~ spl56_46
| spl56_51 ),
inference(backward_demodulation,[],[f965,f905]) ).
fof(f965,plain,
( sK47 != sK28(sK47)
| spl56_51 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1088,plain,
( spl56_65
| ~ spl56_29
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1031,f903,f746,f1085]) ).
fof(f1082,plain,
( ~ spl56_64
| spl56_44
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1044,f903,f894,f1079]) ).
fof(f1044,plain,
( nil != sK44(nil)
| spl56_44
| ~ spl56_46 ),
inference(backward_demodulation,[],[f895,f905]) ).
fof(f895,plain,
( nil != sK44(sK47)
| spl56_44 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f1077,plain,
( spl56_42
| ~ spl56_10
| ~ spl56_38
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1076,f903,f816,f637,f837]) ).
fof(f1075,plain,
( ~ spl56_63
| ~ spl56_46
| spl56_52 ),
inference(avatar_split_clause,[],[f1050,f967,f903,f1072]) ).
fof(f1050,plain,
( ~ ssList(sK28(nil))
| ~ spl56_46
| spl56_52 ),
inference(backward_demodulation,[],[f969,f905]) ).
fof(f969,plain,
( ~ ssList(sK28(sK47))
| spl56_52 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f1068,plain,
( spl56_62
| ~ spl56_36
| ~ spl56_46 ),
inference(avatar_split_clause,[],[f1035,f903,f795,f1065]) ).
fof(f1065,plain,
( spl56_62
<=> app(nil,sK44(nil)) = sK44(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_62])]) ).
fof(f1035,plain,
( app(nil,sK44(nil)) = sK44(nil)
| ~ spl56_36
| ~ spl56_46 ),
inference(backward_demodulation,[],[f797,f905]) ).
fof(f1063,plain,
( spl56_61
| ~ spl56_46
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1046,f907,f903,f1060]) ).
fof(f1060,plain,
( spl56_61
<=> nil = cons(sK29(nil),sK28(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_61])]) ).
fof(f1046,plain,
( nil = cons(sK29(nil),sK28(nil))
| ~ spl56_46
| ~ spl56_47 ),
inference(backward_demodulation,[],[f909,f905]) ).
fof(f1025,plain,
( spl56_60
| ~ spl56_30
| ~ spl56_46
| ~ spl56_59
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f933,f739,f1017,f903,f750,f1022]) ).
fof(f933,plain,
( ~ ssList(cons(sK43(sK47),nil))
| nil != sK47
| ~ ssList(sK44(sK47))
| nil = cons(sK43(sK47),nil)
| ~ spl56_28 ),
inference(superposition,[],[f425,f741]) ).
fof(f1020,plain,
( ~ spl56_59
| spl56_44
| ~ spl56_30
| ~ spl56_46
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f921,f739,f903,f750,f894,f1017]) ).
fof(f921,plain,
( nil != sK47
| ~ ssList(sK44(sK47))
| nil = sK44(sK47)
| ~ ssList(cons(sK43(sK47),nil))
| ~ spl56_28 ),
inference(superposition,[],[f424,f741]) ).
fof(f1015,plain,
( spl56_58
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f999,f967,f1012]) ).
fof(f999,plain,
( app(sK28(sK47),nil) = sK28(sK47)
| ~ spl56_52 ),
inference(resolution,[],[f968,f407]) ).
fof(f1010,plain,
( spl56_54
| spl56_57
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f997,f967,f1007,f985]) ).
fof(f997,plain,
( cons(sK29(sK28(sK47)),sK28(sK28(sK47))) = sK28(sK47)
| nil = sK28(sK47)
| ~ spl56_52 ),
inference(resolution,[],[f968,f410]) ).
fof(f1005,plain,
( spl56_56
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f1000,f967,f1002]) ).
fof(f1000,plain,
( app(nil,sK28(sK47)) = sK28(sK47)
| ~ spl56_52 ),
inference(resolution,[],[f968,f375]) ).
fof(f992,plain,
( ~ spl56_53
| ~ spl56_50
| ~ spl56_52
| spl56_54
| spl56_55
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f972,f907,f989,f985,f967,f959,f981]) ).
fof(f972,plain,
( strictorderedP(sK28(sK47))
| nil = sK28(sK47)
| ~ ssList(sK28(sK47))
| ~ ssItem(sK29(sK47))
| ~ strictorderedP(sK47)
| ~ spl56_47 ),
inference(superposition,[],[f525,f909]) ).
fof(f979,plain,
( ~ spl56_14
| spl56_46
| spl56_52 ),
inference(avatar_split_clause,[],[f978,f967,f903,f657]) ).
fof(f978,plain,
( nil = sK47
| ~ ssList(sK47)
| spl56_52 ),
inference(resolution,[],[f969,f412]) ).
fof(f976,plain,
( spl56_46
| ~ spl56_14
| spl56_50 ),
inference(avatar_split_clause,[],[f975,f959,f657,f903]) ).
fof(f975,plain,
( ~ ssList(sK47)
| nil = sK47
| spl56_50 ),
inference(resolution,[],[f961,f411]) ).
fof(f961,plain,
( ~ ssItem(sK29(sK47))
| spl56_50 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f970,plain,
( ~ spl56_50
| ~ spl56_51
| ~ spl56_52
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f955,f907,f967,f963,f959]) ).
fof(f955,plain,
( ~ ssList(sK28(sK47))
| sK47 != sK28(sK47)
| ~ ssItem(sK29(sK47))
| ~ spl56_47 ),
inference(superposition,[],[f520,f909]) ).
fof(f920,plain,
( spl56_3
| spl56_49
| ~ spl56_18 ),
inference(avatar_split_clause,[],[f888,f677,f917,f605]) ).
fof(f888,plain,
( sK40 = cons(sK29(sK40),sK28(sK40))
| nil = sK40
| ~ spl56_18 ),
inference(resolution,[],[f410,f679]) ).
fof(f915,plain,
( spl56_48
| spl56_7
| ~ spl56_16 ),
inference(avatar_split_clause,[],[f887,f667,f624,f912]) ).
fof(f887,plain,
( nil = sK39
| cons(sK29(sK39),sK28(sK39)) = sK39
| ~ spl56_16 ),
inference(resolution,[],[f410,f669]) ).
fof(f910,plain,
( spl56_46
| spl56_47
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f892,f657,f907,f903]) ).
fof(f892,plain,
( cons(sK29(sK47),sK28(sK47)) = sK47
| nil = sK47
| ~ spl56_14 ),
inference(resolution,[],[f410,f659]) ).
fof(f901,plain,
( spl56_44
| spl56_45
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f890,f750,f898,f894]) ).
fof(f890,plain,
( sK44(sK47) = cons(sK29(sK44(sK47)),sK28(sK44(sK47)))
| nil = sK44(sK47)
| ~ spl56_30 ),
inference(resolution,[],[f410,f751]) ).
fof(f845,plain,
( ~ spl56_26
| ~ spl56_42
| spl56_43
| ~ spl56_9
| ~ spl56_38 ),
inference(avatar_split_clause,[],[f831,f816,f633,f842,f837,f725]) ).
fof(f831,plain,
( app(sK46(nil),cons(sK45(nil),nil)) = sK39
| sK40 != sK39
| ~ ssList(nil)
| ~ spl56_9
| ~ spl56_38 ),
inference(superposition,[],[f634,f818]) ).
fof(f840,plain,
( spl56_41
| ~ spl56_26
| ~ spl56_42
| ~ spl56_11
| ~ spl56_38 ),
inference(avatar_split_clause,[],[f830,f816,f643,f837,f725,f833]) ).
fof(f643,plain,
( spl56_11
<=> ! [X4] :
( sK40 != app(sK39,X4)
| ~ ssList(X4)
| app(cons(sK43(X4),nil),sK44(X4)) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_11])]) ).
fof(f830,plain,
( sK40 != sK39
| ~ ssList(nil)
| nil = app(cons(sK43(nil),nil),sK44(nil))
| ~ spl56_11
| ~ spl56_38 ),
inference(superposition,[],[f644,f818]) ).
fof(f644,plain,
( ! [X4] :
( sK40 != app(sK39,X4)
| app(cons(sK43(X4),nil),sK44(X4)) = X4
| ~ ssList(X4) )
| ~ spl56_11 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f829,plain,
( spl56_40
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f809,f657,f826]) ).
fof(f809,plain,
( app(sK47,nil) = sK47
| ~ spl56_14 ),
inference(resolution,[],[f407,f659]) ).
fof(f824,plain,
( spl56_39
| ~ spl56_18 ),
inference(avatar_split_clause,[],[f805,f677,f821]) ).
fof(f805,plain,
( app(sK40,nil) = sK40
| ~ spl56_18 ),
inference(resolution,[],[f407,f679]) ).
fof(f819,plain,
( spl56_38
| ~ spl56_16 ),
inference(avatar_split_clause,[],[f804,f667,f816]) ).
fof(f804,plain,
( app(sK39,nil) = sK39
| ~ spl56_16 ),
inference(resolution,[],[f407,f669]) ).
fof(f814,plain,
( spl56_37
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f807,f750,f811]) ).
fof(f807,plain,
( app(sK44(sK47),nil) = sK44(sK47)
| ~ spl56_30 ),
inference(resolution,[],[f407,f751]) ).
fof(f798,plain,
( spl56_36
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f793,f750,f795]) ).
fof(f793,plain,
( app(nil,sK44(sK47)) = sK44(sK47)
| ~ spl56_30 ),
inference(resolution,[],[f751,f375]) ).
fof(f791,plain,
( ~ spl56_14
| ~ spl56_1
| ~ spl56_10
| spl56_30 ),
inference(avatar_split_clause,[],[f790,f750,f637,f598,f657]) ).
fof(f790,plain,
( ~ ssList(sK47)
| ~ spl56_1
| ~ spl56_10
| spl56_30 ),
inference(trivial_inequality_removal,[],[f789]) ).
fof(f789,plain,
( sK40 != sK40
| ~ ssList(sK47)
| ~ spl56_1
| ~ spl56_10
| spl56_30 ),
inference(forward_demodulation,[],[f788,f639]) ).
fof(f788,plain,
( sK40 != app(sK39,sK47)
| ~ ssList(sK47)
| ~ spl56_1
| spl56_30 ),
inference(resolution,[],[f752,f599]) ).
fof(f752,plain,
( ~ ssList(sK44(sK47))
| spl56_30 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f786,plain,
( spl56_35
| ~ spl56_18 ),
inference(avatar_split_clause,[],[f763,f677,f783]) ).
fof(f763,plain,
( app(nil,sK40) = sK40
| ~ spl56_18 ),
inference(resolution,[],[f375,f679]) ).
fof(f781,plain,
( spl56_34
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f766,f657,f778]) ).
fof(f766,plain,
( sK47 = app(nil,sK47)
| ~ spl56_14 ),
inference(resolution,[],[f375,f659]) ).
fof(f776,plain,
( spl56_33
| ~ spl56_26 ),
inference(avatar_split_clause,[],[f761,f725,f773]) ).
fof(f773,plain,
( spl56_33
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_33])]) ).
fof(f761,plain,
( nil = app(nil,nil)
| ~ spl56_26 ),
inference(resolution,[],[f375,f727]) ).
fof(f771,plain,
( spl56_32
| ~ spl56_16 ),
inference(avatar_split_clause,[],[f762,f667,f768]) ).
fof(f762,plain,
( app(nil,sK39) = sK39
| ~ spl56_16 ),
inference(resolution,[],[f375,f669]) ).
fof(f760,plain,
( ~ spl56_14
| ~ spl56_8
| ~ spl56_10
| spl56_29 ),
inference(avatar_split_clause,[],[f759,f746,f637,f629,f657]) ).
fof(f759,plain,
( ~ ssList(sK47)
| ~ spl56_8
| ~ spl56_10
| spl56_29 ),
inference(trivial_inequality_removal,[],[f758]) ).
fof(f758,plain,
( ~ ssList(sK47)
| sK40 != sK40
| ~ spl56_8
| ~ spl56_10
| spl56_29 ),
inference(forward_demodulation,[],[f757,f639]) ).
fof(f757,plain,
( ~ ssList(sK47)
| sK40 != app(sK39,sK47)
| ~ spl56_8
| spl56_29 ),
inference(resolution,[],[f748,f630]) ).
fof(f748,plain,
( ~ ssItem(sK43(sK47))
| spl56_29 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f756,plain,
( ~ spl56_29
| ~ spl56_30
| spl56_31
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f744,f739,f754,f750,f746]) ).
fof(f744,plain,
( ! [X0,X1] :
( ~ lt(X1,sK43(sK47))
| ~ ssList(sK44(sK47))
| ~ ssList(X0)
| app(X0,cons(X1,nil)) != sK39
| ~ ssItem(sK43(sK47))
| ~ ssItem(X1) )
| ~ spl56_28 ),
inference(trivial_inequality_removal,[],[f743]) ).
fof(f743,plain,
( ! [X0,X1] :
( ~ ssList(sK44(sK47))
| app(X0,cons(X1,nil)) != sK39
| ~ ssItem(sK43(sK47))
| ~ ssList(X0)
| sK47 != sK47
| ~ lt(X1,sK43(sK47))
| ~ ssItem(X1) )
| ~ spl56_28 ),
inference(superposition,[],[f559,f741]) ).
fof(f742,plain,
( ~ spl56_14
| spl56_28
| ~ spl56_10
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f737,f643,f637,f739,f657]) ).
fof(f737,plain,
( sK47 = app(cons(sK43(sK47),nil),sK44(sK47))
| ~ ssList(sK47)
| ~ spl56_10
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f736]) ).
fof(f736,plain,
( sK40 != sK40
| sK47 = app(cons(sK43(sK47),nil),sK44(sK47))
| ~ ssList(sK47)
| ~ spl56_10
| ~ spl56_11 ),
inference(superposition,[],[f644,f639]) ).
fof(f735,plain,
( spl56_27
| ~ spl56_14
| ~ spl56_9
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f730,f637,f633,f657,f732]) ).
fof(f730,plain,
( ~ ssList(sK47)
| app(sK46(sK47),cons(sK45(sK47),nil)) = sK39
| ~ spl56_9
| ~ spl56_10 ),
inference(trivial_inequality_removal,[],[f729]) ).
fof(f729,plain,
( ~ ssList(sK47)
| app(sK46(sK47),cons(sK45(sK47),nil)) = sK39
| sK40 != sK40
| ~ spl56_9
| ~ spl56_10 ),
inference(superposition,[],[f634,f639]) ).
fof(f728,plain,
spl56_26,
inference(avatar_split_clause,[],[f512,f725]) ).
fof(f512,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f723,plain,
( ~ spl56_2
| ~ spl56_3
| spl56_24 ),
inference(avatar_split_clause,[],[f485,f714,f605,f601]) ).
fof(f485,plain,
! [X4] :
( sK40 != app(sK39,X4)
| lt(sK45(X4),sK43(X4))
| ~ ssList(X4)
| nil != sK40
| ~ strictorderedP(sK39) ),
inference(cnf_transformation,[],[f313]) ).
fof(f722,plain,
spl56_25,
inference(avatar_split_clause,[],[f366,f719]) ).
fof(f366,plain,
ssItem(sK10),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ssItem(sK9)
& ssItem(sK10)
& sK10 != sK9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f2,f243,f242]) ).
fof(f242,plain,
( ? [X0] :
( ssItem(X0)
& ? [X1] :
( ssItem(X1)
& X0 != X1 ) )
=> ( ssItem(sK9)
& ? [X1] :
( ssItem(X1)
& sK9 != X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X1] :
( ssItem(X1)
& sK9 != X1 )
=> ( ssItem(sK10)
& sK10 != sK9 ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ssItem(X0)
& ? [X1] :
( ssItem(X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f717,plain,
( ~ spl56_2
| ~ spl56_3
| spl56_8 ),
inference(avatar_split_clause,[],[f490,f629,f605,f601]) ).
fof(f490,plain,
! [X4] :
( ssItem(sK43(X4))
| sK40 != app(sK39,X4)
| ~ ssList(X4)
| nil != sK40
| ~ strictorderedP(sK39) ),
inference(cnf_transformation,[],[f313]) ).
fof(f716,plain,
( spl56_7
| ~ spl56_2
| spl56_24 ),
inference(avatar_split_clause,[],[f492,f714,f601,f624]) ).
fof(f492,plain,
! [X4] :
( sK40 != app(sK39,X4)
| lt(sK45(X4),sK43(X4))
| ~ ssList(X4)
| ~ strictorderedP(sK39)
| nil = sK39 ),
inference(cnf_transformation,[],[f313]) ).
fof(f712,plain,
spl56_16,
inference(avatar_split_clause,[],[f562,f667]) ).
fof(f562,plain,
ssList(sK39),
inference(definition_unfolding,[],[f475,f477]) ).
fof(f475,plain,
ssList(sK41),
inference(cnf_transformation,[],[f313]) ).
fof(f711,plain,
~ spl56_23,
inference(avatar_split_clause,[],[f448,f708]) ).
fof(f708,plain,
( spl56_23
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_23])]) ).
fof(f448,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f705,plain,
spl56_18,
inference(avatar_split_clause,[],[f558,f677]) ).
fof(f558,plain,
ssList(sK40),
inference(definition_unfolding,[],[f482,f476]) ).
fof(f476,plain,
sK42 = sK40,
inference(cnf_transformation,[],[f313]) ).
fof(f482,plain,
ssList(sK42),
inference(cnf_transformation,[],[f313]) ).
fof(f704,plain,
( spl56_9
| spl56_7
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f493,f601,f624,f633]) ).
fof(f493,plain,
! [X4] :
( ~ strictorderedP(sK39)
| nil = sK39
| app(sK46(X4),cons(sK45(X4),nil)) = sK39
| ~ ssList(X4)
| sK40 != app(sK39,X4) ),
inference(cnf_transformation,[],[f313]) ).
fof(f703,plain,
spl56_22,
inference(avatar_split_clause,[],[f442,f700]) ).
fof(f700,plain,
( spl56_22
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_22])]) ).
fof(f442,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f698,plain,
( ~ spl56_2
| ~ spl56_3
| spl56_11 ),
inference(avatar_split_clause,[],[f488,f643,f605,f601]) ).
fof(f488,plain,
! [X4] :
( ~ ssList(X4)
| nil != sK40
| ~ strictorderedP(sK39)
| sK40 != app(sK39,X4)
| app(cons(sK43(X4),nil),sK44(X4)) = X4 ),
inference(cnf_transformation,[],[f313]) ).
fof(f697,plain,
( ~ spl56_2
| spl56_7
| spl56_1 ),
inference(avatar_split_clause,[],[f496,f598,f624,f601]) ).
fof(f496,plain,
! [X4] :
( ~ ssList(X4)
| sK40 != app(sK39,X4)
| nil = sK39
| ssList(sK44(X4))
| ~ strictorderedP(sK39) ),
inference(cnf_transformation,[],[f313]) ).
fof(f696,plain,
spl56_2,
inference(avatar_split_clause,[],[f561,f601]) ).
fof(f561,plain,
strictorderedP(sK39),
inference(definition_unfolding,[],[f478,f477]) ).
fof(f478,plain,
strictorderedP(sK41),
inference(cnf_transformation,[],[f313]) ).
fof(f695,plain,
spl56_21,
inference(avatar_split_clause,[],[f449,f692]) ).
fof(f692,plain,
( spl56_21
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_21])]) ).
fof(f449,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f690,plain,
spl56_20,
inference(avatar_split_clause,[],[f451,f687]) ).
fof(f687,plain,
( spl56_20
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_20])]) ).
fof(f451,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f685,plain,
spl56_19,
inference(avatar_split_clause,[],[f367,f682]) ).
fof(f367,plain,
ssItem(sK9),
inference(cnf_transformation,[],[f244]) ).
fof(f680,plain,
spl56_18,
inference(avatar_split_clause,[],[f474,f677]) ).
fof(f474,plain,
ssList(sK40),
inference(cnf_transformation,[],[f313]) ).
fof(f675,plain,
spl56_17,
inference(avatar_split_clause,[],[f501,f672]) ).
fof(f672,plain,
( spl56_17
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_17])]) ).
fof(f501,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f670,plain,
spl56_16,
inference(avatar_split_clause,[],[f498,f667]) ).
fof(f498,plain,
ssList(sK39),
inference(cnf_transformation,[],[f313]) ).
fof(f665,plain,
~ spl56_15,
inference(avatar_split_clause,[],[f365,f662]) ).
fof(f662,plain,
( spl56_15
<=> sK10 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_15])]) ).
fof(f365,plain,
sK10 != sK9,
inference(cnf_transformation,[],[f244]) ).
fof(f660,plain,
spl56_14,
inference(avatar_split_clause,[],[f481,f657]) ).
fof(f481,plain,
ssList(sK47),
inference(cnf_transformation,[],[f313]) ).
fof(f655,plain,
( ~ spl56_3
| ~ spl56_2
| spl56_12 ),
inference(avatar_split_clause,[],[f484,f647,f601,f605]) ).
fof(f484,plain,
! [X4] :
( sK40 != app(sK39,X4)
| ~ strictorderedP(sK39)
| ssItem(sK45(X4))
| ~ ssList(X4)
| nil != sK40 ),
inference(cnf_transformation,[],[f313]) ).
fof(f654,plain,
spl56_13,
inference(avatar_split_clause,[],[f509,f651]) ).
fof(f509,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f649,plain,
( ~ spl56_2
| spl56_7
| spl56_12 ),
inference(avatar_split_clause,[],[f491,f647,f624,f601]) ).
fof(f491,plain,
! [X4] :
( sK40 != app(sK39,X4)
| ssItem(sK45(X4))
| ~ ssList(X4)
| nil = sK39
| ~ strictorderedP(sK39) ),
inference(cnf_transformation,[],[f313]) ).
fof(f645,plain,
( ~ spl56_2
| spl56_7
| spl56_11 ),
inference(avatar_split_clause,[],[f495,f643,f624,f601]) ).
fof(f495,plain,
! [X4] :
( sK40 != app(sK39,X4)
| nil = sK39
| ~ strictorderedP(sK39)
| app(cons(sK43(X4),nil),sK44(X4)) = X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f313]) ).
fof(f641,plain,
( spl56_7
| ~ spl56_2
| spl56_4 ),
inference(avatar_split_clause,[],[f494,f610,f601,f624]) ).
fof(f494,plain,
! [X4] :
( ssList(sK46(X4))
| sK40 != app(sK39,X4)
| ~ strictorderedP(sK39)
| nil = sK39
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f313]) ).
fof(f640,plain,
spl56_10,
inference(avatar_split_clause,[],[f560,f637]) ).
fof(f560,plain,
sK40 = app(sK39,sK47),
inference(definition_unfolding,[],[f479,f477,f476]) ).
fof(f479,plain,
app(sK41,sK47) = sK42,
inference(cnf_transformation,[],[f313]) ).
fof(f635,plain,
( ~ spl56_3
| spl56_9
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f486,f601,f633,f605]) ).
fof(f486,plain,
! [X4] :
( ~ strictorderedP(sK39)
| sK40 != app(sK39,X4)
| ~ ssList(X4)
| nil != sK40
| app(sK46(X4),cons(sK45(X4),nil)) = sK39 ),
inference(cnf_transformation,[],[f313]) ).
fof(f631,plain,
( ~ spl56_2
| spl56_7
| spl56_8 ),
inference(avatar_split_clause,[],[f497,f629,f624,f601]) ).
fof(f497,plain,
! [X4] :
( sK40 != app(sK39,X4)
| nil = sK39
| ~ ssList(X4)
| ~ strictorderedP(sK39)
| ssItem(sK43(X4)) ),
inference(cnf_transformation,[],[f313]) ).
fof(f627,plain,
( ~ spl56_7
| spl56_3 ),
inference(avatar_split_clause,[],[f557,f605,f624]) ).
fof(f557,plain,
( nil = sK40
| nil != sK39 ),
inference(definition_unfolding,[],[f483,f477,f476]) ).
fof(f483,plain,
( nil != sK41
| nil = sK42 ),
inference(cnf_transformation,[],[f313]) ).
fof(f622,plain,
spl56_6,
inference(avatar_split_clause,[],[f511,f619]) ).
fof(f619,plain,
( spl56_6
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_6])]) ).
fof(f511,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f617,plain,
spl56_5,
inference(avatar_split_clause,[],[f513,f614]) ).
fof(f614,plain,
( spl56_5
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_5])]) ).
fof(f513,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f612,plain,
( ~ spl56_3
| ~ spl56_2
| spl56_4 ),
inference(avatar_split_clause,[],[f487,f610,f601,f605]) ).
fof(f487,plain,
! [X4] :
( ~ ssList(X4)
| ~ strictorderedP(sK39)
| ssList(sK46(X4))
| nil != sK40
| sK40 != app(sK39,X4) ),
inference(cnf_transformation,[],[f313]) ).
fof(f608,plain,
( spl56_1
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f489,f605,f601,f598]) ).
fof(f489,plain,
! [X4] :
( nil != sK40
| ~ strictorderedP(sK39)
| ssList(sK44(X4))
| sK40 != app(sK39,X4)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC343+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:10:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (26791)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (26770)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (26767)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (26768)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (26779)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.57 % (26778)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57 % (26771)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (26787)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.58 % (26769)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.58 % (26771)Instruction limit reached!
% 0.19/0.58 % (26771)------------------------------
% 0.19/0.58 % (26771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (26771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (26771)Termination reason: Unknown
% 0.19/0.58 % (26771)Termination phase: Property scanning
% 0.19/0.58
% 0.19/0.58 % (26771)Memory used [KB]: 1279
% 0.19/0.58 % (26771)Time elapsed: 0.012 s
% 0.19/0.58 % (26771)Instructions burned: 7 (million)
% 0.19/0.58 % (26771)------------------------------
% 0.19/0.58 % (26771)------------------------------
% 0.19/0.58 % (26764)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.59 % (26772)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.59 % (26772)Instruction limit reached!
% 0.19/0.59 % (26772)------------------------------
% 0.19/0.59 % (26772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (26772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (26772)Termination reason: Unknown
% 0.19/0.59 % (26772)Termination phase: Preprocessing 2
% 0.19/0.59
% 0.19/0.59 % (26772)Memory used [KB]: 1023
% 0.19/0.59 % (26772)Time elapsed: 0.004 s
% 0.19/0.59 % (26772)Instructions burned: 2 (million)
% 0.19/0.59 % (26772)------------------------------
% 0.19/0.59 % (26772)------------------------------
% 0.19/0.59 % (26766)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.59 % (26776)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.59 TRYING [1]
% 0.19/0.60 % (26773)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60 % (26783)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.60 TRYING [2]
% 0.19/0.60 % (26785)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.60 % (26786)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.00/0.61 % (26789)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.00/0.61 % (26775)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.00/0.62 % (26765)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.00/0.62 % (26793)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.00/0.62 % (26792)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.00/0.62 % (26790)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.00/0.62 % (26784)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.00/0.62 % (26782)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.00/0.62 % (26781)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.12/0.63 % (26777)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.12/0.63 % (26774)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.12/0.63 % (26770)Instruction limit reached!
% 2.12/0.63 % (26770)------------------------------
% 2.12/0.63 % (26770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (26770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (26770)Termination reason: Unknown
% 2.12/0.63 % (26770)Termination phase: Finite model building SAT solving
% 2.12/0.63
% 2.12/0.63 % (26770)Memory used [KB]: 7164
% 2.12/0.63 % (26770)Time elapsed: 0.191 s
% 2.12/0.63 % (26770)Instructions burned: 52 (million)
% 2.12/0.63 % (26770)------------------------------
% 2.12/0.63 % (26770)------------------------------
% 2.12/0.64 % (26788)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.12/0.64 % (26780)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.12/0.66 % (26767)Instruction limit reached!
% 2.12/0.66 % (26767)------------------------------
% 2.12/0.66 % (26767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (26767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (26767)Termination reason: Unknown
% 2.12/0.66 % (26767)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (26767)Memory used [KB]: 6652
% 2.12/0.66 % (26767)Time elapsed: 0.181 s
% 2.12/0.66 % (26767)Instructions burned: 51 (million)
% 2.12/0.66 % (26767)------------------------------
% 2.12/0.66 % (26767)------------------------------
% 2.34/0.67 TRYING [1]
% 2.34/0.68 TRYING [1]
% 2.34/0.68 % (26766)Instruction limit reached!
% 2.34/0.68 % (26766)------------------------------
% 2.34/0.68 % (26766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (26766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (26766)Termination reason: Unknown
% 2.34/0.68 % (26766)Termination phase: Saturation
% 2.34/0.68
% 2.34/0.68 % (26766)Memory used [KB]: 1791
% 2.34/0.68 % (26766)Time elapsed: 0.261 s
% 2.34/0.68 % (26766)Instructions burned: 37 (million)
% 2.34/0.68 % (26766)------------------------------
% 2.34/0.68 % (26766)------------------------------
% 2.34/0.69 % (26778)Instruction limit reached!
% 2.34/0.69 % (26778)------------------------------
% 2.34/0.69 % (26778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (26778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (26778)Termination reason: Unknown
% 2.34/0.69 % (26778)Termination phase: Saturation
% 2.34/0.69
% 2.34/0.69 % (26778)Memory used [KB]: 7164
% 2.34/0.69 % (26778)Time elapsed: 0.077 s
% 2.34/0.69 % (26778)Instructions burned: 68 (million)
% 2.34/0.69 % (26778)------------------------------
% 2.34/0.69 % (26778)------------------------------
% 2.34/0.69 TRYING [2]
% 2.34/0.70 % (26769)Instruction limit reached!
% 2.34/0.70 % (26769)------------------------------
% 2.34/0.70 % (26769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (26769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (26769)Termination reason: Unknown
% 2.34/0.70 % (26769)Termination phase: Saturation
% 2.34/0.70
% 2.34/0.70 % (26769)Memory used [KB]: 6396
% 2.34/0.70 % (26769)Time elapsed: 0.273 s
% 2.34/0.70 % (26769)Instructions burned: 48 (million)
% 2.34/0.70 % (26769)------------------------------
% 2.34/0.70 % (26769)------------------------------
% 2.34/0.70 TRYING [2]
% 2.34/0.72 % (26768)Instruction limit reached!
% 2.34/0.72 % (26768)------------------------------
% 2.34/0.72 % (26768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72 % (26768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72 % (26768)Termination reason: Unknown
% 2.34/0.72 % (26768)Termination phase: Saturation
% 2.34/0.72
% 2.34/0.72 % (26768)Memory used [KB]: 6652
% 2.34/0.72 % (26768)Time elapsed: 0.264 s
% 2.34/0.72 % (26768)Instructions burned: 51 (million)
% 2.34/0.72 % (26768)------------------------------
% 2.34/0.72 % (26768)------------------------------
% 2.80/0.73 TRYING [3]
% 2.80/0.73 % (26781)Instruction limit reached!
% 2.80/0.73 % (26781)------------------------------
% 2.80/0.73 % (26781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.73 % (26781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.73 % (26781)Termination reason: Unknown
% 2.80/0.73 % (26781)Termination phase: Finite model building SAT solving
% 2.80/0.73
% 2.80/0.73 % (26781)Memory used [KB]: 7419
% 2.80/0.73 % (26781)Time elapsed: 0.272 s
% 2.80/0.73 % (26781)Instructions burned: 59 (million)
% 2.80/0.73 % (26781)------------------------------
% 2.80/0.73 % (26781)------------------------------
% 2.80/0.74 % (26779)Instruction limit reached!
% 2.80/0.74 % (26779)------------------------------
% 2.80/0.74 % (26779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.74 % (26779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.74 % (26779)Termination reason: Unknown
% 2.80/0.74 % (26779)Termination phase: Saturation
% 2.80/0.74
% 2.80/0.74 % (26779)Memory used [KB]: 2430
% 2.80/0.74 % (26779)Time elapsed: 0.258 s
% 2.80/0.74 % (26779)Instructions burned: 75 (million)
% 2.80/0.74 % (26779)------------------------------
% 2.80/0.74 % (26779)------------------------------
% 2.80/0.74 % (26773)Instruction limit reached!
% 2.80/0.74 % (26773)------------------------------
% 2.80/0.74 % (26773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.74 % (26773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.74 % (26773)Termination reason: Unknown
% 2.80/0.74 % (26773)Termination phase: Saturation
% 2.80/0.74
% 2.80/0.74 % (26773)Memory used [KB]: 2174
% 2.80/0.74 % (26773)Time elapsed: 0.322 s
% 2.80/0.74 % (26773)Instructions burned: 52 (million)
% 2.80/0.74 % (26773)------------------------------
% 2.80/0.74 % (26773)------------------------------
% 2.80/0.75 % (26765)Instruction limit reached!
% 2.80/0.75 % (26765)------------------------------
% 2.80/0.75 % (26765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.75 % (26765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.75 % (26765)Termination reason: Unknown
% 2.80/0.75 % (26765)Termination phase: Saturation
% 2.80/0.75
% 2.80/0.75 % (26765)Memory used [KB]: 6908
% 2.80/0.75 % (26765)Time elapsed: 0.315 s
% 2.80/0.75 % (26765)Instructions burned: 50 (million)
% 2.80/0.75 % (26765)------------------------------
% 2.80/0.75 % (26765)------------------------------
% 3.11/0.77 % (26774)Instruction limit reached!
% 3.11/0.77 % (26774)------------------------------
% 3.11/0.77 % (26774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.77 % (26774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.77 % (26774)Termination reason: Unknown
% 3.11/0.77 % (26774)Termination phase: Saturation
% 3.11/0.77
% 3.11/0.77 % (26774)Memory used [KB]: 6524
% 3.11/0.77 % (26774)Time elapsed: 0.324 s
% 3.11/0.77 % (26774)Instructions burned: 50 (million)
% 3.11/0.77 % (26774)------------------------------
% 3.11/0.77 % (26774)------------------------------
% 3.11/0.81 % (26790)Instruction limit reached!
% 3.11/0.81 % (26790)------------------------------
% 3.11/0.81 % (26790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.81 % (26790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.81 % (26790)Termination reason: Unknown
% 3.11/0.81 % (26790)Termination phase: Saturation
% 3.11/0.81
% 3.11/0.81 % (26790)Memory used [KB]: 7164
% 3.11/0.81 % (26790)Time elapsed: 0.057 s
% 3.11/0.81 % (26790)Instructions burned: 68 (million)
% 3.11/0.81 % (26790)------------------------------
% 3.11/0.81 % (26790)------------------------------
% 3.11/0.81 % (26826)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.11/0.82 % (26834)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.43/0.84 % (26791)Instruction limit reached!
% 3.43/0.84 % (26791)------------------------------
% 3.43/0.84 % (26791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.84 % (26791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.84 % (26791)Termination reason: Unknown
% 3.43/0.84 % (26791)Termination phase: Saturation
% 3.43/0.84
% 3.43/0.84 % (26791)Memory used [KB]: 3454
% 3.43/0.84 % (26791)Time elapsed: 0.416 s
% 3.43/0.84 % (26791)Instructions burned: 177 (million)
% 3.43/0.84 % (26791)------------------------------
% 3.43/0.84 % (26791)------------------------------
% 3.43/0.84 % (26827)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.43/0.87 % (26776)Instruction limit reached!
% 3.43/0.87 % (26776)------------------------------
% 3.43/0.87 % (26776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.87 % (26776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.87 % (26776)Termination reason: Unknown
% 3.43/0.87 % (26776)Termination phase: Saturation
% 3.43/0.87
% 3.43/0.87 % (26776)Memory used [KB]: 7547
% 3.43/0.87 % (26776)Time elapsed: 0.444 s
% 3.43/0.87 % (26776)Instructions burned: 102 (million)
% 3.43/0.87 % (26776)------------------------------
% 3.43/0.87 % (26776)------------------------------
% 3.54/0.87 % (26783)Instruction limit reached!
% 3.54/0.87 % (26783)------------------------------
% 3.54/0.87 % (26783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.87 % (26783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.87 % (26783)Termination reason: Unknown
% 3.54/0.87 % (26783)Termination phase: Saturation
% 3.54/0.87
% 3.54/0.87 % (26783)Memory used [KB]: 2686
% 3.54/0.87 % (26783)Time elapsed: 0.437 s
% 3.54/0.87 % (26783)Instructions burned: 100 (million)
% 3.54/0.87 % (26783)------------------------------
% 3.54/0.87 % (26783)------------------------------
% 3.54/0.88 % (26777)Instruction limit reached!
% 3.54/0.88 % (26777)------------------------------
% 3.54/0.88 % (26777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.88 % (26777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.88 % (26777)Termination reason: Unknown
% 3.54/0.88 % (26777)Termination phase: Saturation
% 3.54/0.88
% 3.54/0.88 % (26777)Memory used [KB]: 7036
% 3.54/0.88 % (26777)Time elapsed: 0.461 s
% 3.54/0.88 % (26777)Instructions burned: 99 (million)
% 3.54/0.88 % (26777)------------------------------
% 3.54/0.88 % (26777)------------------------------
% 3.54/0.89 % (26828)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.54/0.89 % (26775)Instruction limit reached!
% 3.54/0.89 % (26775)------------------------------
% 3.54/0.89 % (26775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.89 % (26775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.89 % (26775)Termination reason: Unknown
% 3.54/0.89 % (26775)Termination phase: Saturation
% 3.54/0.89
% 3.54/0.89 % (26775)Memory used [KB]: 7547
% 3.54/0.89 % (26775)Time elapsed: 0.449 s
% 3.54/0.89 % (26775)Instructions burned: 100 (million)
% 3.54/0.89 % (26775)------------------------------
% 3.54/0.89 % (26775)------------------------------
% 3.54/0.89 % (26782)Instruction limit reached!
% 3.54/0.89 % (26782)------------------------------
% 3.54/0.89 % (26782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.89 % (26782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.89 % (26782)Termination reason: Unknown
% 3.54/0.89 % (26782)Termination phase: Saturation
% 3.54/0.89
% 3.54/0.89 % (26782)Memory used [KB]: 7291
% 3.54/0.89 % (26782)Time elapsed: 0.469 s
% 3.54/0.89 % (26782)Instructions burned: 100 (million)
% 3.54/0.89 % (26782)------------------------------
% 3.54/0.89 % (26782)------------------------------
% 3.54/0.90 % (26829)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.54/0.91 % (26780)Instruction limit reached!
% 3.54/0.91 % (26780)------------------------------
% 3.54/0.91 % (26780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.91 % (26780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.91 % (26780)Termination reason: Unknown
% 3.54/0.91 % (26780)Termination phase: Saturation
% 3.54/0.91
% 3.54/0.91 % (26780)Memory used [KB]: 6780
% 3.54/0.91 % (26780)Time elapsed: 0.486 s
% 3.54/0.91 % (26780)Instructions burned: 99 (million)
% 3.54/0.91 % (26780)------------------------------
% 3.54/0.91 % (26780)------------------------------
% 3.54/0.92 % (26832)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.75/0.93 TRYING [4]
% 3.75/0.94 % (26835)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.81/0.96 % (26837)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.81/0.97 % (26846)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.81/0.98 % (26851)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.81/0.98 % (26841)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.81/0.98 % (26785)Instruction limit reached!
% 3.81/0.98 % (26785)------------------------------
% 3.81/0.98 % (26785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.98 % (26785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.98 % (26785)Termination reason: Unknown
% 3.81/0.98 % (26785)Termination phase: Saturation
% 3.81/0.98
% 3.81/0.98 % (26785)Memory used [KB]: 7291
% 3.81/0.98 % (26785)Time elapsed: 0.560 s
% 3.81/0.98 % (26785)Instructions burned: 138 (million)
% 3.81/0.98 % (26785)------------------------------
% 3.81/0.98 % (26785)------------------------------
% 3.81/1.01 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.81/1.01 % (26845)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.81/1.01 % (26853)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.97/1.04 % (26858)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.04/1.12 % (26866)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 4.04/1.12 % (26872)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.04/1.12 % (26784)Instruction limit reached!
% 4.04/1.12 % (26784)------------------------------
% 4.04/1.12 % (26784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.04/1.12 % (26784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.04/1.12 % (26784)Termination reason: Unknown
% 4.04/1.12 % (26784)Termination phase: Saturation
% 4.04/1.12
% 4.04/1.12 % (26784)Memory used [KB]: 7419
% 4.04/1.12 % (26784)Time elapsed: 0.700 s
% 4.04/1.12 % (26784)Instructions burned: 176 (million)
% 4.04/1.12 % (26784)------------------------------
% 4.04/1.12 % (26784)------------------------------
% 4.04/1.13 % (26869)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.04/1.13 % (26837)Instruction limit reached!
% 4.04/1.13 % (26837)------------------------------
% 4.04/1.13 % (26837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.04/1.13 % (26837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.04/1.13 % (26837)Termination reason: Unknown
% 4.04/1.13 % (26837)Termination phase: Saturation
% 4.04/1.13
% 4.04/1.13 % (26837)Memory used [KB]: 7164
% 4.04/1.13 % (26837)Time elapsed: 0.054 s
% 4.04/1.13 % (26837)Instructions burned: 69 (million)
% 4.04/1.13 % (26837)------------------------------
% 4.04/1.13 % (26837)------------------------------
% 4.04/1.14 % (26871)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.04/1.14 % (26870)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 4.04/1.14 % (26862)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 6.35/1.16 % (26846)Instruction limit reached!
% 6.35/1.16 % (26846)------------------------------
% 6.35/1.16 % (26846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/1.16 % (26846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/1.16 % (26846)Termination reason: Unknown
% 6.35/1.16 % (26846)Termination phase: Saturation
% 6.35/1.16
% 6.35/1.16 % (26846)Memory used [KB]: 7419
% 6.35/1.16 % (26846)Time elapsed: 0.358 s
% 6.35/1.16 % (26846)Instructions burned: 90 (million)
% 6.35/1.16 % (26846)------------------------------
% 6.35/1.16 % (26846)------------------------------
% 6.35/1.18 % (26828)Instruction limit reached!
% 6.35/1.18 % (26828)------------------------------
% 6.35/1.18 % (26828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/1.18 % (26828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/1.18 % (26828)Termination reason: Unknown
% 6.35/1.18 % (26828)Termination phase: Saturation
% 6.35/1.18
% 6.35/1.18 % (26828)Memory used [KB]: 6780
% 6.35/1.18 % (26828)Time elapsed: 0.482 s
% 6.35/1.18 % (26828)Instructions burned: 91 (million)
% 6.35/1.18 % (26828)------------------------------
% 6.35/1.18 % (26828)------------------------------
% 6.58/1.22 % (26873)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 6.58/1.24 % (26879)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 7.06/1.30 % (26870)Instruction limit reached!
% 7.06/1.30 % (26870)------------------------------
% 7.06/1.30 % (26870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.30 % (26870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.30 % (26870)Termination reason: Unknown
% 7.06/1.30 % (26870)Termination phase: Saturation
% 7.06/1.30
% 7.06/1.30 % (26870)Memory used [KB]: 7164
% 7.06/1.30 % (26870)Time elapsed: 0.053 s
% 7.06/1.30 % (26870)Instructions burned: 68 (million)
% 7.06/1.30 % (26870)------------------------------
% 7.06/1.30 % (26870)------------------------------
% 7.41/1.34 % (26834)Instruction limit reached!
% 7.41/1.34 % (26834)------------------------------
% 7.41/1.34 % (26834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.41/1.34 % (26834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.41/1.34 % (26834)Termination reason: Unknown
% 7.41/1.34 % (26834)Termination phase: Saturation
% 7.41/1.34
% 7.41/1.34 % (26834)Memory used [KB]: 15991
% 7.41/1.34 % (26834)Time elapsed: 0.542 s
% 7.41/1.34 % (26834)Instructions burned: 747 (million)
% 7.41/1.34 % (26834)------------------------------
% 7.41/1.34 % (26834)------------------------------
% 7.71/1.36 % (26892)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.71/1.38 % (26890)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 7.71/1.40 % (26904)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 8.27/1.45 % (26891)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 8.27/1.48 % (26895)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 8.57/1.53 % (26827)Instruction limit reached!
% 8.57/1.53 % (26827)------------------------------
% 8.57/1.53 % (26827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.57/1.53 % (26827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.57/1.53 % (26827)Termination reason: Unknown
% 8.57/1.53 % (26827)Termination phase: Saturation
% 8.57/1.53
% 8.57/1.53 % (26827)Memory used [KB]: 4733
% 8.57/1.53 % (26827)Time elapsed: 0.878 s
% 8.57/1.53 % (26827)Instructions burned: 211 (million)
% 8.57/1.53 % (26827)------------------------------
% 8.57/1.53 % (26827)------------------------------
% 8.98/1.56 % (26902)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9877Mi)
% 8.98/1.60 TRYING [5]
% 8.98/1.60 % (26793)Instruction limit reached!
% 8.98/1.60 % (26793)------------------------------
% 8.98/1.60 % (26793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.98/1.60 % (26793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.98/1.60 % (26793)Termination reason: Unknown
% 8.98/1.60 % (26793)Termination phase: Saturation
% 8.98/1.60
% 8.98/1.60 % (26793)Memory used [KB]: 12792
% 8.98/1.60 % (26793)Time elapsed: 1.160 s
% 8.98/1.60 % (26793)Instructions burned: 356 (million)
% 8.98/1.60 % (26793)------------------------------
% 8.98/1.60 % (26793)------------------------------
% 9.25/1.61 % (26890)Instruction limit reached!
% 9.25/1.61 % (26890)------------------------------
% 9.25/1.61 % (26890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.25/1.61 % (26890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.25/1.61 % (26890)Termination reason: Unknown
% 9.25/1.61 % (26890)Termination phase: Saturation
% 9.25/1.61
% 9.25/1.61 % (26890)Memory used [KB]: 7164
% 9.25/1.61 % (26890)Time elapsed: 0.412 s
% 9.25/1.61 % (26890)Instructions burned: 91 (million)
% 9.25/1.61 % (26890)------------------------------
% 9.25/1.61 % (26890)------------------------------
% 10.31/1.72 % (26788)Instruction limit reached!
% 10.31/1.72 % (26788)------------------------------
% 10.31/1.72 % (26788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.31/1.72 % (26788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.31/1.72 % (26788)Termination reason: Unknown
% 10.31/1.72 % (26788)Termination phase: Saturation
% 10.31/1.72
% 10.31/1.72 % (26788)Memory used [KB]: 13048
% 10.31/1.72 % (26788)Time elapsed: 1.278 s
% 10.31/1.72 % (26788)Instructions burned: 482 (million)
% 10.31/1.72 % (26788)------------------------------
% 10.31/1.72 % (26788)------------------------------
% 11.49/1.84 % (26916)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1824Mi)
% 11.49/1.85 % (26922)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/9707Mi)
% 11.73/1.87 % (26921)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/9989Mi)
% 11.73/1.90 % (26787)Instruction limit reached!
% 11.73/1.90 % (26787)------------------------------
% 11.73/1.90 % (26787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.73/1.90 % (26787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.73/1.90 % (26787)Termination reason: Unknown
% 11.73/1.90 % (26787)Termination phase: Saturation
% 11.73/1.90
% 11.73/1.90 % (26787)Memory used [KB]: 9850
% 11.73/1.90 % (26787)Time elapsed: 1.421 s
% 11.73/1.90 % (26787)Instructions burned: 467 (million)
% 11.73/1.90 % (26787)------------------------------
% 11.73/1.90 % (26787)------------------------------
% 11.73/1.91 % (26928)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/90Mi)
% 11.73/1.93 % (26786)Instruction limit reached!
% 11.73/1.93 % (26786)------------------------------
% 11.73/1.93 % (26786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.73/1.93 % (26786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.73/1.93 % (26786)Termination reason: Unknown
% 11.73/1.93 % (26786)Termination phase: Saturation
% 11.73/1.93
% 11.73/1.93 % (26786)Memory used [KB]: 5884
% 11.73/1.93 % (26786)Time elapsed: 1.487 s
% 11.73/1.93 % (26786)Instructions burned: 499 (million)
% 11.73/1.93 % (26786)------------------------------
% 11.73/1.93 % (26786)------------------------------
% 12.41/1.95 % (26789)Instruction limit reached!
% 12.41/1.95 % (26789)------------------------------
% 12.41/1.95 % (26789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.41/1.95 % (26789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.41/1.95 % (26789)Termination reason: Unknown
% 12.41/1.95 % (26789)Termination phase: Saturation
% 12.41/1.95
% 12.41/1.95 % (26789)Memory used [KB]: 12409
% 12.41/1.95 % (26789)Time elapsed: 1.509 s
% 12.41/1.95 % (26789)Instructions burned: 501 (million)
% 12.41/1.95 % (26789)------------------------------
% 12.41/1.95 % (26789)------------------------------
% 12.41/1.98 % (26792)Instruction limit reached!
% 12.41/1.98 % (26792)------------------------------
% 12.41/1.98 % (26792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.41/1.98 % (26792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.41/1.98 % (26792)Termination reason: Unknown
% 12.41/1.98 % (26792)Termination phase: Saturation
% 12.41/1.98
% 12.41/1.98 % (26792)Memory used [KB]: 12409
% 12.41/1.98 % (26792)Time elapsed: 1.559 s
% 12.41/1.98 % (26792)Instructions burned: 439 (million)
% 12.41/1.98 % (26792)------------------------------
% 12.41/1.98 % (26792)------------------------------
% 12.74/2.00 % (26826)Instruction limit reached!
% 12.74/2.00 % (26826)------------------------------
% 12.74/2.00 % (26826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.74/2.00 % (26826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.74/2.00 % (26826)Termination reason: Unknown
% 12.74/2.00 % (26826)Termination phase: Saturation
% 12.74/2.00
% 12.74/2.00 % (26826)Memory used [KB]: 9338
% 12.74/2.00 % (26826)Time elapsed: 1.312 s
% 12.74/2.00 % (26826)Instructions burned: 388 (million)
% 12.74/2.00 % (26826)------------------------------
% 12.74/2.00 % (26826)------------------------------
% 13.22/2.06 % (26928)Instruction limit reached!
% 13.22/2.06 % (26928)------------------------------
% 13.22/2.06 % (26928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.31/2.06 % (26928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.31/2.06 % (26928)Termination reason: Unknown
% 13.31/2.06 % (26928)Termination phase: Saturation
% 13.31/2.06
% 13.31/2.06 % (26928)Memory used [KB]: 6780
% 13.31/2.06 % (26928)Time elapsed: 0.268 s
% 13.31/2.06 % (26928)Instructions burned: 91 (million)
% 13.31/2.06 % (26928)------------------------------
% 13.31/2.06 % (26928)------------------------------
% 13.31/2.07 % (26939)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/44001Mi)
% 13.31/2.08 % (26940)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/4958Mi)
% 13.31/2.08 % (26944)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/37001Mi)
% 13.73/2.11 % (26942)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/35256Mi)
% 13.73/2.14 % (26943)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/32293Mi)
% 13.94/2.16 % (26973)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/10187Mi)
% 17.11/2.56 % (26835)Instruction limit reached!
% 17.11/2.56 % (26835)------------------------------
% 17.11/2.56 % (26835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.11/2.56 % (26835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.11/2.56 % (26835)Termination reason: Unknown
% 17.11/2.56 % (26835)Termination phase: Saturation
% 17.11/2.56
% 17.11/2.56 % (26835)Memory used [KB]: 7931
% 17.11/2.56 % (26835)Time elapsed: 1.800 s
% 17.11/2.56 % (26835)Instructions burned: 656 (million)
% 17.11/2.56 % (26835)------------------------------
% 17.11/2.56 % (26835)------------------------------
% 17.59/2.58 TRYING [6]
% 18.31/2.70 % (27174)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/29337Mi)
% 19.61/2.89 % (26841)Instruction limit reached!
% 19.61/2.89 % (26841)------------------------------
% 19.61/2.89 % (26841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.09/2.90 % (26832)Instruction limit reached!
% 20.09/2.90 % (26832)------------------------------
% 20.09/2.90 % (26832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.09/2.91 % (26841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.09/2.91 % (26841)Termination reason: Unknown
% 20.09/2.91 % (26841)Termination phase: Saturation
% 20.09/2.91
% 20.09/2.91 % (26841)Memory used [KB]: 17526
% 20.09/2.91 % (26841)Time elapsed: 2.103 s
% 20.09/2.91 % (26841)Instructions burned: 941 (million)
% 20.09/2.91 % (26841)------------------------------
% 20.09/2.91 % (26841)------------------------------
% 20.09/2.91 % (26832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.09/2.91 % (26832)Termination reason: Unknown
% 20.09/2.91 % (26832)Termination phase: Saturation
% 20.09/2.91
% 20.09/2.91 % (26832)Memory used [KB]: 23539
% 20.09/2.91 % (26832)Time elapsed: 2.157 s
% 20.09/2.91 % (26832)Instructions burned: 934 (million)
% 20.09/2.91 % (26832)------------------------------
% 20.09/2.91 % (26832)------------------------------
% 21.10/3.04 % (27175)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/10147Mi)
% 21.10/3.04 % (27176)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/38056Mi)
% 21.10/3.08 TRYING [1]
% 21.10/3.09 TRYING [2]
% 21.10/3.10 % (26829)Instruction limit reached!
% 21.10/3.10 % (26829)------------------------------
% 21.10/3.10 % (26829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.10/3.10 % (26829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.10/3.10 % (26829)Termination reason: Unknown
% 21.10/3.10 % (26829)Termination phase: Saturation
% 21.10/3.10
% 21.10/3.10 % (26829)Memory used [KB]: 20212
% 21.10/3.10 % (26829)Time elapsed: 2.380 s
% 21.10/3.10 % (26829)Instructions burned: 920 (million)
% 21.10/3.10 % (26829)------------------------------
% 21.10/3.10 % (26829)------------------------------
% 21.10/3.12 TRYING [3]
% 21.82/3.17 % (26845)Instruction limit reached!
% 21.82/3.17 % (26845)------------------------------
% 21.82/3.17 % (26845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.82/3.17 % (26845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.82/3.17 % (26845)Termination reason: Unknown
% 21.82/3.17 % (26845)Termination phase: Saturation
% 21.82/3.17
% 21.82/3.17 % (26845)Memory used [KB]: 19317
% 21.82/3.17 % (26845)Time elapsed: 2.309 s
% 21.82/3.17 % (26845)Instructions burned: 982 (million)
% 21.82/3.17 % (26845)------------------------------
% 21.82/3.17 % (26845)------------------------------
% 22.28/3.23 TRYING [4]
% 22.28/3.24 % (27177)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/33239Mi)
% 22.87/3.27 TRYING [1]
% 22.87/3.28 TRYING [2]
% 22.87/3.29 % (27178)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/20987Mi)
% 22.87/3.29 TRYING [3]
% 23.07/3.32 TRYING [1]
% 23.07/3.32 TRYING [2]
% 23.60/3.37 TRYING [3]
% 24.35/3.50 TRYING [4]
% 24.95/3.52 TRYING [4]
% 25.44/3.59 TRYING [5]
% 26.23/3.68 % (26871)Instruction limit reached!
% 26.23/3.68 % (26871)------------------------------
% 26.23/3.68 % (26871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.23/3.68 % (26871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.23/3.68 % (26871)Termination reason: Unknown
% 26.23/3.68 % (26871)Termination phase: Saturation
% 26.23/3.68
% 26.23/3.68 % (26871)Memory used [KB]: 4093
% 26.23/3.68 % (26871)Time elapsed: 2.714 s
% 26.23/3.68 % (26871)Instructions burned: 1825 (million)
% 26.23/3.68 % (26871)------------------------------
% 26.23/3.68 % (26871)------------------------------
% 27.34/3.82 % (27179)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/49917Mi)
% 27.81/3.87 TRYING [1]
% 27.81/3.89 TRYING [2]
% 27.81/3.90 TRYING [3]
% 28.92/4.00 TRYING [5]
% 28.92/4.02 TRYING [4]
% 28.92/4.03 TRYING [5]
% 30.16/4.25 % (26916)Instruction limit reached!
% 30.16/4.25 % (26916)------------------------------
% 30.16/4.25 % (26916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.90/4.26 % (26916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.90/4.26 % (26916)Termination reason: Unknown
% 30.90/4.26 % (26916)Termination phase: Saturation
% 30.90/4.26
% 30.90/4.26 % (26916)Memory used [KB]: 4093
% 30.90/4.26 % (26916)Time elapsed: 2.646 s
% 30.90/4.26 % (26916)Instructions burned: 1824 (million)
% 30.90/4.26 % (26916)------------------------------
% 30.90/4.26 % (26916)------------------------------
% 31.63/4.35 TRYING [5]
% 31.63/4.39 % (27180)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/19144Mi)
% 31.63/4.40 TRYING [7]
% 32.51/4.49 % (26851)Instruction limit reached!
% 32.51/4.49 % (26851)------------------------------
% 32.51/4.49 % (26851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.51/4.50 % (26851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.51/4.50 % (26851)Termination reason: Unknown
% 32.51/4.50 % (26851)Termination phase: Saturation
% 32.51/4.50
% 32.51/4.50 % (26851)Memory used [KB]: 19573
% 32.51/4.50 % (26851)Time elapsed: 3.670 s
% 32.51/4.50 % (26851)Instructions burned: 2017 (million)
% 32.51/4.50 % (26851)------------------------------
% 32.51/4.50 % (26851)------------------------------
% 32.51/4.53 TRYING [6]
% 34.05/4.65 % (27181)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/27492Mi)
% 36.46/5.04 % (26891)Instruction limit reached!
% 36.46/5.04 % (26891)------------------------------
% 36.46/5.04 % (26891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.46/5.04 % (26891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.46/5.04 % (26891)Termination reason: Unknown
% 36.46/5.04 % (26891)Termination phase: Saturation
% 36.46/5.04
% 36.46/5.04 % (26891)Memory used [KB]: 21748
% 36.46/5.04 % (26891)Time elapsed: 3.847 s
% 36.46/5.04 % (26891)Instructions burned: 2017 (million)
% 36.46/5.04 % (26891)------------------------------
% 36.46/5.04 % (26891)------------------------------
% 37.16/5.06 TRYING [6]
% 37.61/5.10 % (26872)Instruction limit reached!
% 37.61/5.10 % (26872)------------------------------
% 37.61/5.10 % (26872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.61/5.12 % (26872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.61/5.12 % (26872)Termination reason: Unknown
% 37.61/5.12 % (26872)Termination phase: Saturation
% 37.61/5.12
% 37.61/5.12 % (26872)Memory used [KB]: 28144
% 37.61/5.12 % (26872)Time elapsed: 4.159 s
% 37.61/5.12 % (26872)Instructions burned: 2134 (million)
% 37.61/5.12 % (26872)------------------------------
% 37.61/5.12 % (26872)------------------------------
% 38.17/5.18 % (27182)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/6101Mi)
% 38.60/5.23 TRYING [6]
% 38.82/5.25 % (27183)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/90Mi)
% 39.87/5.39 % (27183)Instruction limit reached!
% 39.87/5.39 % (27183)------------------------------
% 39.87/5.39 % (27183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.87/5.39 % (27183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.87/5.39 % (27183)Termination reason: Unknown
% 39.87/5.39 % (27183)Termination phase: Saturation
% 39.87/5.39
% 39.87/5.39 % (27183)Memory used [KB]: 7931
% 39.87/5.39 % (27183)Time elapsed: 0.239 s
% 39.87/5.39 % (27183)Instructions burned: 91 (million)
% 39.87/5.39 % (27183)------------------------------
% 39.87/5.39 % (27183)------------------------------
% 40.59/5.50 TRYING [6]
% 40.96/5.52 % (27184)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/91600Mi)
% 45.74/6.13 % (26895)First to succeed.
% 45.91/6.19 % (26895)Refutation found. Thanks to Tanya!
% 45.91/6.19 % SZS status Theorem for theBenchmark
% 45.91/6.19 % SZS output start Proof for theBenchmark
% See solution above
% 45.91/6.20 % (26895)------------------------------
% 45.91/6.20 % (26895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.91/6.20 % (26895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.91/6.20 % (26895)Termination reason: Refutation
% 45.91/6.20
% 45.91/6.20 % (26895)Memory used [KB]: 5245
% 45.91/6.20 % (26895)Time elapsed: 4.884 s
% 45.91/6.20 % (26895)Instructions burned: 3901 (million)
% 45.91/6.20 % (26895)------------------------------
% 45.91/6.20 % (26895)------------------------------
% 45.91/6.20 % (26763)Success in time 5.831 s
%------------------------------------------------------------------------------