TSTP Solution File: SWC416-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue Apr 30 16:22:53 EDT 2024
% Result : Unsatisfiable 1.45s 0.57s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 222
% Syntax : Number of formulae : 959 ( 382 unt; 0 def)
% Number of atoms : 2326 ( 793 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2521 (1154 ~;1344 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 24 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% Number of variables : 988 ( 988 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4452,plain,
$false,
inference(avatar_sat_refutation,[],[f256,f1000,f1016,f1020,f1092,f1108,f1112,f1130,f1373,f1377,f1471,f1496,f1689,f1694,f1697,f1793,f1795,f1882,f1892,f1894,f1896,f1912,f2113,f2117,f2181,f2390,f4388,f4451]) ).
fof(f4451,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f4450]) ).
fof(f4450,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4449,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f4449,plain,
( ~ ssList(nil)
| spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4448,f1090]) ).
fof(f1090,plain,
( nil != sk2
| spl0_8 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1089,plain,
( spl0_8
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f4448,plain,
( nil = sk2
| ~ ssList(nil)
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4446,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f4446,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil)
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f4390,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f4390,plain,
( ~ neq(nil,sk2)
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4389,f362]) ).
fof(f362,plain,
sk2 = app(cons(sk5,nil),sk1),
inference(forward_demodulation,[],[f361,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f361,plain,
sk4 = app(cons(sk5,nil),sk1),
inference(forward_demodulation,[],[f360,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f360,plain,
sk4 = app(cons(sk5,nil),sk3),
inference(subsumption_resolution,[],[f359,f236]) ).
fof(f236,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f359,plain,
( ~ neq(sk2,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f4389,plain,
( sk2 != app(cons(sk5,nil),sk1)
| ~ neq(nil,sk2)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4377,f1901]) ).
fof(f1901,plain,
hd(sk2) = sk5,
inference(superposition,[],[f609,f1885]) ).
fof(f1885,plain,
sk2 = cons(sk5,sk1),
inference(forward_demodulation,[],[f1665,f362]) ).
fof(f1665,plain,
app(cons(sk5,nil),sk1) = cons(sk5,sk1),
inference(forward_demodulation,[],[f1660,f191]) ).
fof(f1660,plain,
app(cons(sk5,nil),sk3) = cons(sk5,sk3),
inference(resolution,[],[f1326,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f1326,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f120,f249]) ).
fof(f249,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f248,f236]) ).
fof(f248,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f198,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f609,plain,
sk5 = hd(cons(sk5,sk1)),
inference(resolution,[],[f577,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f577,plain,
! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) ),
inference(resolution,[],[f97,f249]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f4377,plain,
( ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4376,f236]) ).
fof(f4376,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4375,f190]) ).
fof(f4375,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4374,f2107]) ).
fof(f2107,plain,
( ssList(cons(sk5,nil))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2106,plain,
( spl0_20
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f4374,plain,
( ~ ssList(cons(sk5,nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f4373,f1901]) ).
fof(f4373,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f238,f1102]) ).
fof(f1102,plain,
( ssItem(hd(sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1101,plain,
( spl0_9
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f238,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202]) ).
fof(f202,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X7] :
( ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(X7,sk1)
| cons(hd(sk2),nil) != X7 ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X8,X7] :
( ~ ssItem(X8)
| ~ ssList(sk2)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X8
| sk2 != app(X7,sk1)
| cons(X8,nil) != X7 ),
inference(equality_resolution,[],[f197]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssItem(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| sk2 != X6
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X8
| app(X7,sk1) != X6
| cons(X8,nil) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f237,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196]) ).
fof(f196,axiom,
( neq(sk2,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f195,axiom,
( ssItem(sk5)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f4388,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f4387]) ).
fof(f4387,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4386,f8]) ).
fof(f4386,plain,
( ~ ssList(nil)
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4385,f1090]) ).
fof(f4385,plain,
( nil = sk2
| ~ ssList(nil)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4383,f187]) ).
fof(f4383,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(resolution,[],[f4381,f100]) ).
fof(f4381,plain,
( ~ neq(nil,sk2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f4380,f320]) ).
fof(f320,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f4380,plain,
( sk2 != app(sk2,nil)
| ~ neq(nil,sk2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4379,f2197]) ).
fof(f2197,plain,
( sk2 = cons(sk5,nil)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1776,f1901]) ).
fof(f1776,plain,
( sk2 = cons(hd(sk2),nil)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f1087,f1462]) ).
fof(f1462,plain,
( nil = tl(sk2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1460,plain,
( spl0_13
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1087,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1085,plain,
( spl0_7
<=> sk2 = cons(hd(sk2),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4379,plain,
( sk2 != app(cons(sk5,nil),nil)
| ~ neq(nil,sk2)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4378,f1901]) ).
fof(f4378,plain,
( sk2 != app(cons(hd(sk2),nil),nil)
| ~ neq(nil,sk2)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4377,f999]) ).
fof(f999,plain,
( nil = sk1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl0_4
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2390,plain,
( ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2389]) ).
fof(f2389,plain,
( $false
| ~ spl0_18
| spl0_19 ),
inference(subsumption_resolution,[],[f2374,f3]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2374,plain,
( ~ strictorderedP(nil)
| ~ spl0_18
| spl0_19 ),
inference(superposition,[],[f1880,f1877]) ).
fof(f1877,plain,
( nil = skaf82(sk2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1875,plain,
( spl0_18
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1880,plain,
( ~ strictorderedP(skaf82(sk2))
| spl0_19 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1879,plain,
( spl0_19
<=> strictorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f2181,plain,
( spl0_22
| spl0_23
| spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2152,f1464,f997,f2178,f2174]) ).
fof(f2174,plain,
( spl0_22
<=> nil = skaf82(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f2178,plain,
( spl0_23
<=> strictorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1464,plain,
( spl0_14
<=> strictorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2152,plain,
( strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| spl0_4
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f2151,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f2151,plain,
( strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f2150,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f2150,plain,
( ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f2144,f2050]) ).
fof(f2050,plain,
( strictorderedP(sk1)
| ~ spl0_14 ),
inference(superposition,[],[f1466,f1902]) ).
fof(f1902,plain,
sk1 = tl(sk2),
inference(superposition,[],[f537,f1885]) ).
fof(f537,plain,
sk1 = tl(cons(sk5,sk1)),
inference(resolution,[],[f505,f186]) ).
fof(f505,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 ),
inference(resolution,[],[f96,f249]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f1466,plain,
( strictorderedP(tl(sk2))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f2144,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_4 ),
inference(superposition,[],[f124,f1888]) ).
fof(f1888,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_4 ),
inference(global_subsumption,[],[f198,f195,f193,f199,f196,f237,f202,f238,f205,f239,f142,f162,f166,f165,f167,f164,f163,f206,f207,f208,f78,f77,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f216,f217,f231,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f314,f315,f316,f317,f318,f323,f324,f319,f320,f74,f347,f348,f349,f350,f351,f352,f357,f358,f353,f354,f362,f292,f293,f294,f295,f296,f297,f298,f75,f363,f364,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f76,f310,f311,f312,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f80,f82,f84,f85,f381,f382,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f313,f96,f489,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f534,f535,f536,f541,f542,f506,f537,f538,f507,f508,f509,f510,f511,f97,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f606,f607,f608,f613,f614,f578,f609,f610,f579,f580,f581,f582,f583,f100,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f101,f595,f596,f597,f598,f599,f512,f513,f514,f515,f516,f517,f102,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f600,f103,f601,f602,f603,f604,f605,f528,f529,f530,f531,f532,f533,f105,f487,f719,f720,f721,f722,f723,f724,f725,f726,f727,f732,f733,f728,f729,f697,f488,f762,f763,f764,f765,f766,f767,f768,f769,f770,f775,f776,f771,f772,f106,f740,f559,f813,f814,f815,f820,f821,f816,f817,f785,f786,f787,f788,f789,f107,f833,f835,f837,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f108,f856,f858,f801,f802,f803,f804,f805,f806,f560,f893,f894,f895,f900,f901,f896,f897,f110,f905,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f114,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f211,f929,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f104,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f987,f981,f982,f989,f991,f983,f998,f109,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1074,f1068,f1069,f1071,f1077,f984,f118,f119,f120,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f121,f1356,f1359,f1361,f1363,f124,f125,f126,f127,f709,f710,f711,f712,f713,f714,f715,f128,f716,f717,f718,f741,f742,f743,f744,f745,f746,f747,f748,f129,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f130,f1601,f1605,f1608,f760,f761,f807,f808,f809,f810,f811,f812,f887,f888,f889,f890,f891,f892,f1326,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1659,f1668,f1622,f1768,f1873,f1771,f1885,f1886,f1626,f1887]) ).
fof(f1887,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f1075,f191]) ).
fof(f1075,plain,
( nil = sk1
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(forward_demodulation,[],[f1072,f191]) ).
fof(f1072,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(resolution,[],[f109,f188]) ).
fof(f1626,plain,
cons(sk5,nil) = app(cons(sk5,nil),nil),
inference(resolution,[],[f1326,f8]) ).
fof(f1886,plain,
sk2 = cons(sk5,sk1),
inference(forward_demodulation,[],[f1658,f362]) ).
fof(f1658,plain,
app(cons(sk5,nil),sk1) = cons(sk5,sk1),
inference(resolution,[],[f1326,f186]) ).
fof(f1771,plain,
( rearsegP(sk2,sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f1764,f186]) ).
fof(f1764,plain,
( rearsegP(sk2,sk1)
| ~ ssList(sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f1622,f362]) ).
fof(f1873,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f217,f85]) ).
fof(f1768,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(subsumption_resolution,[],[f1767,f85]) ).
fof(f1767,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(duplicate_literal_removal,[],[f1713]) ).
fof(f1713,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(resolution,[],[f1622,f128]) ).
fof(f1622,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f216,f85]) ).
fof(f1668,plain,
cons(sk5,sk2) = app(cons(sk5,nil),sk2),
inference(forward_demodulation,[],[f1661,f190]) ).
fof(f1661,plain,
cons(sk5,sk4) = app(cons(sk5,nil),sk4),
inference(resolution,[],[f1326,f189]) ).
fof(f1659,plain,
cons(sk5,sk2) = app(cons(sk5,nil),sk2),
inference(resolution,[],[f1326,f187]) ).
fof(f1656,plain,
! [X0] :
( cons(sk5,tl(X0)) = app(cons(sk5,nil),tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1326,f75]) ).
fof(f1655,plain,
! [X0,X1] :
( cons(sk5,app(X0,X1)) = app(cons(sk5,nil),app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f1326,f85]) ).
fof(f1654,plain,
! [X0,X1] :
( cons(sk5,cons(X0,X1)) = app(cons(sk5,nil),cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f1326,f86]) ).
fof(f1653,plain,
! [X0,X1] : cons(sk5,skaf42(X0,X1)) = app(cons(sk5,nil),skaf42(X0,X1)),
inference(resolution,[],[f1326,f53]) ).
fof(f1652,plain,
! [X0,X1] : cons(sk5,skaf43(X0,X1)) = app(cons(sk5,nil),skaf43(X0,X1)),
inference(resolution,[],[f1326,f52]) ).
fof(f1651,plain,
! [X0,X1] : cons(sk5,skaf45(X0,X1)) = app(cons(sk5,nil),skaf45(X0,X1)),
inference(resolution,[],[f1326,f51]) ).
fof(f1650,plain,
! [X0,X1] : cons(sk5,skaf46(X0,X1)) = app(cons(sk5,nil),skaf46(X0,X1)),
inference(resolution,[],[f1326,f50]) ).
fof(f1649,plain,
! [X0,X1] : cons(sk5,skaf47(X0,X1)) = app(cons(sk5,nil),skaf47(X0,X1)),
inference(resolution,[],[f1326,f49]) ).
fof(f1648,plain,
! [X0,X1] : cons(sk5,skaf48(X0,X1)) = app(cons(sk5,nil),skaf48(X0,X1)),
inference(resolution,[],[f1326,f48]) ).
fof(f1647,plain,
! [X0] : cons(sk5,skaf51(X0)) = app(cons(sk5,nil),skaf51(X0)),
inference(resolution,[],[f1326,f44]) ).
fof(f1646,plain,
! [X0] : cons(sk5,skaf52(X0)) = app(cons(sk5,nil),skaf52(X0)),
inference(resolution,[],[f1326,f43]) ).
fof(f1645,plain,
! [X0] : cons(sk5,skaf53(X0)) = app(cons(sk5,nil),skaf53(X0)),
inference(resolution,[],[f1326,f42]) ).
fof(f1644,plain,
! [X0] : cons(sk5,skaf56(X0)) = app(cons(sk5,nil),skaf56(X0)),
inference(resolution,[],[f1326,f39]) ).
fof(f1643,plain,
! [X0] : cons(sk5,skaf57(X0)) = app(cons(sk5,nil),skaf57(X0)),
inference(resolution,[],[f1326,f38]) ).
fof(f1642,plain,
! [X0] : cons(sk5,skaf58(X0)) = app(cons(sk5,nil),skaf58(X0)),
inference(resolution,[],[f1326,f37]) ).
fof(f1641,plain,
! [X0] : cons(sk5,skaf61(X0)) = app(cons(sk5,nil),skaf61(X0)),
inference(resolution,[],[f1326,f34]) ).
fof(f1640,plain,
! [X0] : cons(sk5,skaf62(X0)) = app(cons(sk5,nil),skaf62(X0)),
inference(resolution,[],[f1326,f33]) ).
fof(f1639,plain,
! [X0] : cons(sk5,skaf63(X0)) = app(cons(sk5,nil),skaf63(X0)),
inference(resolution,[],[f1326,f32]) ).
fof(f1638,plain,
! [X0] : cons(sk5,skaf66(X0)) = app(cons(sk5,nil),skaf66(X0)),
inference(resolution,[],[f1326,f29]) ).
fof(f1637,plain,
! [X0] : cons(sk5,skaf67(X0)) = app(cons(sk5,nil),skaf67(X0)),
inference(resolution,[],[f1326,f28]) ).
fof(f1636,plain,
! [X0] : cons(sk5,skaf68(X0)) = app(cons(sk5,nil),skaf68(X0)),
inference(resolution,[],[f1326,f27]) ).
fof(f1635,plain,
! [X0] : cons(sk5,skaf71(X0)) = app(cons(sk5,nil),skaf71(X0)),
inference(resolution,[],[f1326,f24]) ).
fof(f1634,plain,
! [X0] : cons(sk5,skaf72(X0)) = app(cons(sk5,nil),skaf72(X0)),
inference(resolution,[],[f1326,f23]) ).
fof(f1633,plain,
! [X0] : cons(sk5,skaf73(X0)) = app(cons(sk5,nil),skaf73(X0)),
inference(resolution,[],[f1326,f22]) ).
fof(f1632,plain,
! [X0] : cons(sk5,skaf75(X0)) = app(cons(sk5,nil),skaf75(X0)),
inference(resolution,[],[f1326,f20]) ).
fof(f1631,plain,
! [X0] : cons(sk5,skaf76(X0)) = app(cons(sk5,nil),skaf76(X0)),
inference(resolution,[],[f1326,f19]) ).
fof(f1630,plain,
! [X0] : cons(sk5,skaf77(X0)) = app(cons(sk5,nil),skaf77(X0)),
inference(resolution,[],[f1326,f18]) ).
fof(f1629,plain,
! [X0] : cons(sk5,skaf80(X0)) = app(cons(sk5,nil),skaf80(X0)),
inference(resolution,[],[f1326,f15]) ).
fof(f1628,plain,
! [X0] : cons(sk5,skaf81(X0)) = app(cons(sk5,nil),skaf81(X0)),
inference(resolution,[],[f1326,f14]) ).
fof(f1627,plain,
! [X0] : cons(sk5,skaf82(X0)) = app(cons(sk5,nil),skaf82(X0)),
inference(resolution,[],[f1326,f13]) ).
fof(f892,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f560,f53]) ).
fof(f891,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f560,f52]) ).
fof(f890,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f560,f51]) ).
fof(f889,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f560,f50]) ).
fof(f888,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f560,f49]) ).
fof(f887,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f560,f48]) ).
fof(f812,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f559,f53]) ).
fof(f811,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f559,f52]) ).
fof(f810,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f559,f51]) ).
fof(f809,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f559,f50]) ).
fof(f808,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f559,f49]) ).
fof(f807,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f559,f48]) ).
fof(f761,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f488,f44]) ).
fof(f760,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f488,f43]) ).
fof(f1608,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1607,f87]) ).
fof(f1607,plain,
! [X0] :
( ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1606,f46]) ).
fof(f1606,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1600,f45]) ).
fof(f1600,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f88]) ).
fof(f1605,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1604,f88]) ).
fof(f1604,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1603,f45]) ).
fof(f1603,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1599,f46]) ).
fof(f1599,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f1601,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ geq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1598]) ).
fof(f1598,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
inference(resolution,[],[f130,f107]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f759,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f488,f42]) ).
fof(f758,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f488,f39]) ).
fof(f757,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f488,f38]) ).
fof(f756,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f488,f37]) ).
fof(f755,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f488,f34]) ).
fof(f754,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f488,f33]) ).
fof(f753,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f488,f32]) ).
fof(f752,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f488,f29]) ).
fof(f751,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f488,f28]) ).
fof(f750,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f488,f27]) ).
fof(f749,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f488,f24]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f748,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f488,f23]) ).
fof(f747,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f488,f22]) ).
fof(f746,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f488,f20]) ).
fof(f745,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f488,f19]) ).
fof(f744,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f488,f18]) ).
fof(f743,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f488,f15]) ).
fof(f742,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f488,f14]) ).
fof(f741,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f488,f13]) ).
fof(f718,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f487,f44]) ).
fof(f717,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f487,f43]) ).
fof(f716,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f487,f42]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f715,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f487,f39]) ).
fof(f714,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f487,f38]) ).
fof(f713,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f487,f37]) ).
fof(f712,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f487,f34]) ).
fof(f711,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f487,f33]) ).
fof(f710,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f487,f32]) ).
fof(f709,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f487,f29]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f1363,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1362,f35]) ).
fof(f1362,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1354,f36]) ).
fof(f1354,plain,
! [X0] :
( ~ ssItem(skaf59(X0))
| ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f93]) ).
fof(f1361,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1360,f36]) ).
fof(f1360,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1353,f35]) ).
fof(f1353,plain,
! [X0] :
( ~ ssItem(skaf60(X0))
| ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f92]) ).
fof(f1359,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1358,f25]) ).
fof(f1358,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1352,f26]) ).
fof(f1352,plain,
! [X0] :
( ~ ssItem(skaf69(X0))
| ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f90]) ).
fof(f1356,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1350]) ).
fof(f1350,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(resolution,[],[f121,f114]) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f1324,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f120,f76]) ).
fof(f1323,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ),
inference(resolution,[],[f120,f47]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ),
inference(resolution,[],[f120,f46]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ),
inference(resolution,[],[f120,f45]) ).
fof(f1320,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ),
inference(resolution,[],[f120,f41]) ).
fof(f1319,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ),
inference(resolution,[],[f120,f40]) ).
fof(f1318,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ),
inference(resolution,[],[f120,f36]) ).
fof(f1317,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ),
inference(resolution,[],[f120,f35]) ).
fof(f1316,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ),
inference(resolution,[],[f120,f31]) ).
fof(f1315,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ),
inference(resolution,[],[f120,f30]) ).
fof(f1314,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ),
inference(resolution,[],[f120,f26]) ).
fof(f1313,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ),
inference(resolution,[],[f120,f25]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ),
inference(resolution,[],[f120,f21]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ),
inference(resolution,[],[f120,f17]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ),
inference(resolution,[],[f120,f16]) ).
fof(f1309,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ),
inference(resolution,[],[f120,f12]) ).
fof(f1308,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) ),
inference(resolution,[],[f120,f10]) ).
fof(f1307,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) ),
inference(resolution,[],[f120,f9]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f984,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f1077,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1076,f190]) ).
fof(f1076,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f1073,f190]) ).
fof(f1073,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f1071,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f1069,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f1068,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f109,f85]) ).
fof(f1074,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1067,f98]) ).
fof(f1067,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f109,f86]) ).
fof(f1066,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f1065,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f1064,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f1063,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f1062,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f1061,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f1060,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f1059,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f1058,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f1057,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f1056,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f1055,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f1054,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f1053,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f1052,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f1051,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f1050,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f1049,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f1048,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f1047,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f1046,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f1045,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f1044,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f1043,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f1042,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f1041,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f1040,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
inference(resolution,[],[f109,f13]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f998,plain,
( nil != sk1
| spl0_4 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f983,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f991,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f990,f190]) ).
fof(f990,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f986,f190]) ).
fof(f986,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f989,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f988,f191]) ).
fof(f988,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f985,f191]) ).
fof(f985,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f982,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f981,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f104,f85]) ).
fof(f987,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f980,f98]) ).
fof(f980,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f104,f86]) ).
fof(f979,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f978,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f977,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f976,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f975,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f974,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f973,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f972,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f971,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f970,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f969,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f968,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f967,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f966,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f965,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f964,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f963,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f962,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f961,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f960,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f959,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f958,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f957,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f956,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f955,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f954,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f953,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f708,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f487,f28]) ).
fof(f707,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f487,f27]) ).
fof(f706,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f487,f24]) ).
fof(f705,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f487,f23]) ).
fof(f704,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f487,f22]) ).
fof(f703,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f487,f20]) ).
fof(f702,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f487,f19]) ).
fof(f701,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f487,f18]) ).
fof(f700,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f487,f15]) ).
fof(f699,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f487,f14]) ).
fof(f698,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f487,f13]) ).
fof(f929,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f928]) ).
fof(f928,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f211,f101]) ).
fof(f211,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f886,plain,
! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
inference(resolution,[],[f560,f44]) ).
fof(f885,plain,
! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
inference(resolution,[],[f560,f43]) ).
fof(f884,plain,
! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
inference(resolution,[],[f560,f42]) ).
fof(f883,plain,
! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
inference(resolution,[],[f560,f39]) ).
fof(f882,plain,
! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
inference(resolution,[],[f560,f38]) ).
fof(f881,plain,
! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
inference(resolution,[],[f560,f37]) ).
fof(f880,plain,
! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
inference(resolution,[],[f560,f34]) ).
fof(f879,plain,
! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
inference(resolution,[],[f560,f33]) ).
fof(f878,plain,
! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
inference(resolution,[],[f560,f32]) ).
fof(f877,plain,
! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
inference(resolution,[],[f560,f29]) ).
fof(f876,plain,
! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
inference(resolution,[],[f560,f28]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f875,plain,
! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
inference(resolution,[],[f560,f27]) ).
fof(f874,plain,
! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
inference(resolution,[],[f560,f24]) ).
fof(f873,plain,
! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
inference(resolution,[],[f560,f23]) ).
fof(f872,plain,
! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
inference(resolution,[],[f560,f22]) ).
fof(f871,plain,
! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
inference(resolution,[],[f560,f20]) ).
fof(f870,plain,
! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
inference(resolution,[],[f560,f19]) ).
fof(f869,plain,
! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
inference(resolution,[],[f560,f18]) ).
fof(f868,plain,
! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
inference(resolution,[],[f560,f15]) ).
fof(f867,plain,
! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
inference(resolution,[],[f560,f14]) ).
fof(f866,plain,
! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
inference(resolution,[],[f560,f13]) ).
fof(f865,plain,
skac2 = hd(cons(skac2,nil)),
inference(resolution,[],[f560,f8]) ).
fof(f905,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f904]) ).
fof(f904,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f110,f106]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f897,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f560,f187]) ).
fof(f896,plain,
skac2 = hd(cons(skac2,sk1)),
inference(resolution,[],[f560,f186]) ).
fof(f901,plain,
skac2 = hd(cons(skac2,sk2)),
inference(forward_demodulation,[],[f899,f190]) ).
fof(f899,plain,
skac2 = hd(cons(skac2,sk4)),
inference(resolution,[],[f560,f189]) ).
fof(f900,plain,
skac2 = hd(cons(skac2,sk1)),
inference(forward_demodulation,[],[f898,f191]) ).
fof(f898,plain,
skac2 = hd(cons(skac2,sk3)),
inference(resolution,[],[f560,f188]) ).
fof(f895,plain,
! [X0] :
( skac2 = hd(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f560,f75]) ).
fof(f894,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f560,f85]) ).
fof(f893,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f560,f86]) ).
fof(f560,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f806,plain,
! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
inference(resolution,[],[f559,f44]) ).
fof(f805,plain,
! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
inference(resolution,[],[f559,f43]) ).
fof(f804,plain,
! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
inference(resolution,[],[f559,f42]) ).
fof(f803,plain,
! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
inference(resolution,[],[f559,f39]) ).
fof(f802,plain,
! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
inference(resolution,[],[f559,f38]) ).
fof(f801,plain,
! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
inference(resolution,[],[f559,f37]) ).
fof(f858,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f857,f46]) ).
fof(f857,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f852,f45]) ).
fof(f852,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f856,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f855,f45]) ).
fof(f855,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f851,f46]) ).
fof(f851,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f87]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f800,plain,
! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
inference(resolution,[],[f559,f34]) ).
fof(f799,plain,
! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
inference(resolution,[],[f559,f33]) ).
fof(f798,plain,
! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
inference(resolution,[],[f559,f32]) ).
fof(f797,plain,
! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
inference(resolution,[],[f559,f29]) ).
fof(f796,plain,
! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
inference(resolution,[],[f559,f28]) ).
fof(f795,plain,
! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
inference(resolution,[],[f559,f27]) ).
fof(f794,plain,
! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
inference(resolution,[],[f559,f24]) ).
fof(f793,plain,
! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
inference(resolution,[],[f559,f23]) ).
fof(f792,plain,
! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
inference(resolution,[],[f559,f22]) ).
fof(f791,plain,
! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
inference(resolution,[],[f559,f20]) ).
fof(f790,plain,
! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
inference(resolution,[],[f559,f19]) ).
fof(f837,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f836,f41]) ).
fof(f836,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f831,f40]) ).
fof(f831,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f835,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f834,f40]) ).
fof(f834,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f830,f41]) ).
fof(f830,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f833,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f832,f31]) ).
fof(f832,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f829,f30]) ).
fof(f829,plain,
! [X0] :
( ~ ssItem(skaf65(X0))
| ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f91]) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f789,plain,
! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
inference(resolution,[],[f559,f18]) ).
fof(f788,plain,
! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
inference(resolution,[],[f559,f15]) ).
fof(f787,plain,
! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
inference(resolution,[],[f559,f14]) ).
fof(f786,plain,
! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
inference(resolution,[],[f559,f13]) ).
fof(f785,plain,
skac3 = hd(cons(skac3,nil)),
inference(resolution,[],[f559,f8]) ).
fof(f817,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f559,f187]) ).
fof(f816,plain,
skac3 = hd(cons(skac3,sk1)),
inference(resolution,[],[f559,f186]) ).
fof(f821,plain,
skac3 = hd(cons(skac3,sk2)),
inference(forward_demodulation,[],[f819,f190]) ).
fof(f819,plain,
skac3 = hd(cons(skac3,sk4)),
inference(resolution,[],[f559,f189]) ).
fof(f820,plain,
skac3 = hd(cons(skac3,sk1)),
inference(forward_demodulation,[],[f818,f191]) ).
fof(f818,plain,
skac3 = hd(cons(skac3,sk3)),
inference(resolution,[],[f559,f188]) ).
fof(f815,plain,
! [X0] :
( skac3 = hd(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f559,f75]) ).
fof(f814,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f559,f85]) ).
fof(f813,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f559,f86]) ).
fof(f559,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f740,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f488,f8]) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f772,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f488,f187]) ).
fof(f771,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f488,f186]) ).
fof(f776,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f774,f190]) ).
fof(f774,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f488,f189]) ).
fof(f775,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f773,f191]) ).
fof(f773,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f488,f188]) ).
fof(f770,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f488,f75]) ).
fof(f769,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f488,f85]) ).
fof(f768,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f488,f86]) ).
fof(f767,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f488,f53]) ).
fof(f766,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f488,f52]) ).
fof(f765,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f488,f51]) ).
fof(f764,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f488,f50]) ).
fof(f763,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f488,f49]) ).
fof(f762,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f488,f48]) ).
fof(f488,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f697,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f487,f8]) ).
fof(f729,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f487,f187]) ).
fof(f728,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f487,f186]) ).
fof(f733,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f731,f190]) ).
fof(f731,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f487,f189]) ).
fof(f732,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f730,f191]) ).
fof(f730,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f487,f188]) ).
fof(f727,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f487,f75]) ).
fof(f726,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f487,f85]) ).
fof(f725,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f487,f86]) ).
fof(f724,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f487,f53]) ).
fof(f723,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f487,f52]) ).
fof(f722,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f487,f51]) ).
fof(f721,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f487,f50]) ).
fof(f720,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f487,f49]) ).
fof(f719,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f487,f48]) ).
fof(f487,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f533,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(sk5,skaf42(X0,X1))),
inference(resolution,[],[f505,f53]) ).
fof(f532,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(sk5,skaf43(X0,X1))),
inference(resolution,[],[f505,f52]) ).
fof(f531,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(sk5,skaf45(X0,X1))),
inference(resolution,[],[f505,f51]) ).
fof(f530,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(sk5,skaf46(X0,X1))),
inference(resolution,[],[f505,f50]) ).
fof(f529,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(sk5,skaf47(X0,X1))),
inference(resolution,[],[f505,f49]) ).
fof(f528,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(sk5,skaf48(X0,X1))),
inference(resolution,[],[f505,f48]) ).
fof(f605,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf42(X0,X1))),
inference(resolution,[],[f577,f53]) ).
fof(f604,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf43(X0,X1))),
inference(resolution,[],[f577,f52]) ).
fof(f603,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf45(X0,X1))),
inference(resolution,[],[f577,f51]) ).
fof(f602,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf46(X0,X1))),
inference(resolution,[],[f577,f50]) ).
fof(f601,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf47(X0,X1))),
inference(resolution,[],[f577,f49]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f600,plain,
! [X0,X1] : sk5 = hd(cons(sk5,skaf48(X0,X1))),
inference(resolution,[],[f577,f48]) ).
fof(f527,plain,
! [X0] : skaf51(X0) = tl(cons(sk5,skaf51(X0))),
inference(resolution,[],[f505,f44]) ).
fof(f526,plain,
! [X0] : skaf52(X0) = tl(cons(sk5,skaf52(X0))),
inference(resolution,[],[f505,f43]) ).
fof(f525,plain,
! [X0] : skaf53(X0) = tl(cons(sk5,skaf53(X0))),
inference(resolution,[],[f505,f42]) ).
fof(f524,plain,
! [X0] : skaf56(X0) = tl(cons(sk5,skaf56(X0))),
inference(resolution,[],[f505,f39]) ).
fof(f523,plain,
! [X0] : skaf57(X0) = tl(cons(sk5,skaf57(X0))),
inference(resolution,[],[f505,f38]) ).
fof(f522,plain,
! [X0] : skaf58(X0) = tl(cons(sk5,skaf58(X0))),
inference(resolution,[],[f505,f37]) ).
fof(f521,plain,
! [X0] : skaf61(X0) = tl(cons(sk5,skaf61(X0))),
inference(resolution,[],[f505,f34]) ).
fof(f520,plain,
! [X0] : skaf62(X0) = tl(cons(sk5,skaf62(X0))),
inference(resolution,[],[f505,f33]) ).
fof(f519,plain,
! [X0] : skaf63(X0) = tl(cons(sk5,skaf63(X0))),
inference(resolution,[],[f505,f32]) ).
fof(f518,plain,
! [X0] : skaf66(X0) = tl(cons(sk5,skaf66(X0))),
inference(resolution,[],[f505,f29]) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f517,plain,
! [X0] : skaf67(X0) = tl(cons(sk5,skaf67(X0))),
inference(resolution,[],[f505,f28]) ).
fof(f516,plain,
! [X0] : skaf68(X0) = tl(cons(sk5,skaf68(X0))),
inference(resolution,[],[f505,f27]) ).
fof(f515,plain,
! [X0] : skaf71(X0) = tl(cons(sk5,skaf71(X0))),
inference(resolution,[],[f505,f24]) ).
fof(f514,plain,
! [X0] : skaf72(X0) = tl(cons(sk5,skaf72(X0))),
inference(resolution,[],[f505,f23]) ).
fof(f513,plain,
! [X0] : skaf73(X0) = tl(cons(sk5,skaf73(X0))),
inference(resolution,[],[f505,f22]) ).
fof(f512,plain,
! [X0] : skaf75(X0) = tl(cons(sk5,skaf75(X0))),
inference(resolution,[],[f505,f20]) ).
fof(f599,plain,
! [X0] : sk5 = hd(cons(sk5,skaf51(X0))),
inference(resolution,[],[f577,f44]) ).
fof(f598,plain,
! [X0] : sk5 = hd(cons(sk5,skaf52(X0))),
inference(resolution,[],[f577,f43]) ).
fof(f597,plain,
! [X0] : sk5 = hd(cons(sk5,skaf53(X0))),
inference(resolution,[],[f577,f42]) ).
fof(f596,plain,
! [X0] : sk5 = hd(cons(sk5,skaf56(X0))),
inference(resolution,[],[f577,f39]) ).
fof(f595,plain,
! [X0] : sk5 = hd(cons(sk5,skaf57(X0))),
inference(resolution,[],[f577,f38]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f594,plain,
! [X0] : sk5 = hd(cons(sk5,skaf58(X0))),
inference(resolution,[],[f577,f37]) ).
fof(f593,plain,
! [X0] : sk5 = hd(cons(sk5,skaf61(X0))),
inference(resolution,[],[f577,f34]) ).
fof(f592,plain,
! [X0] : sk5 = hd(cons(sk5,skaf62(X0))),
inference(resolution,[],[f577,f33]) ).
fof(f591,plain,
! [X0] : sk5 = hd(cons(sk5,skaf63(X0))),
inference(resolution,[],[f577,f32]) ).
fof(f590,plain,
! [X0] : sk5 = hd(cons(sk5,skaf66(X0))),
inference(resolution,[],[f577,f29]) ).
fof(f589,plain,
! [X0] : sk5 = hd(cons(sk5,skaf67(X0))),
inference(resolution,[],[f577,f28]) ).
fof(f588,plain,
! [X0] : sk5 = hd(cons(sk5,skaf68(X0))),
inference(resolution,[],[f577,f27]) ).
fof(f587,plain,
! [X0] : sk5 = hd(cons(sk5,skaf71(X0))),
inference(resolution,[],[f577,f24]) ).
fof(f586,plain,
! [X0] : sk5 = hd(cons(sk5,skaf72(X0))),
inference(resolution,[],[f577,f23]) ).
fof(f585,plain,
! [X0] : sk5 = hd(cons(sk5,skaf73(X0))),
inference(resolution,[],[f577,f22]) ).
fof(f584,plain,
! [X0] : sk5 = hd(cons(sk5,skaf75(X0))),
inference(resolution,[],[f577,f20]) ).
fof(f583,plain,
! [X0] : sk5 = hd(cons(sk5,skaf76(X0))),
inference(resolution,[],[f577,f19]) ).
fof(f582,plain,
! [X0] : sk5 = hd(cons(sk5,skaf77(X0))),
inference(resolution,[],[f577,f18]) ).
fof(f581,plain,
! [X0] : sk5 = hd(cons(sk5,skaf80(X0))),
inference(resolution,[],[f577,f15]) ).
fof(f580,plain,
! [X0] : sk5 = hd(cons(sk5,skaf81(X0))),
inference(resolution,[],[f577,f14]) ).
fof(f579,plain,
! [X0] : sk5 = hd(cons(sk5,skaf82(X0))),
inference(resolution,[],[f577,f13]) ).
fof(f610,plain,
sk5 = hd(cons(sk5,sk2)),
inference(resolution,[],[f577,f187]) ).
fof(f578,plain,
sk5 = hd(cons(sk5,nil)),
inference(resolution,[],[f577,f8]) ).
fof(f614,plain,
sk5 = hd(cons(sk5,sk2)),
inference(forward_demodulation,[],[f612,f190]) ).
fof(f612,plain,
sk5 = hd(cons(sk5,sk4)),
inference(resolution,[],[f577,f189]) ).
fof(f613,plain,
sk5 = hd(cons(sk5,sk1)),
inference(forward_demodulation,[],[f611,f191]) ).
fof(f611,plain,
sk5 = hd(cons(sk5,sk3)),
inference(resolution,[],[f577,f188]) ).
fof(f608,plain,
! [X0] :
( sk5 = hd(cons(sk5,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f577,f75]) ).
fof(f607,plain,
! [X0,X1] :
( sk5 = hd(cons(sk5,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f577,f85]) ).
fof(f606,plain,
! [X0,X1] :
( sk5 = hd(cons(sk5,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f577,f86]) ).
fof(f576,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f575,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f574,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f573,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f572,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f571,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f570,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f569,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f568,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f567,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f566,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f565,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f564,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f563,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f562,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f561,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f511,plain,
! [X0] : skaf76(X0) = tl(cons(sk5,skaf76(X0))),
inference(resolution,[],[f505,f19]) ).
fof(f510,plain,
! [X0] : skaf77(X0) = tl(cons(sk5,skaf77(X0))),
inference(resolution,[],[f505,f18]) ).
fof(f509,plain,
! [X0] : skaf80(X0) = tl(cons(sk5,skaf80(X0))),
inference(resolution,[],[f505,f15]) ).
fof(f508,plain,
! [X0] : skaf81(X0) = tl(cons(sk5,skaf81(X0))),
inference(resolution,[],[f505,f14]) ).
fof(f507,plain,
! [X0] : skaf82(X0) = tl(cons(sk5,skaf82(X0))),
inference(resolution,[],[f505,f13]) ).
fof(f538,plain,
sk2 = tl(cons(sk5,sk2)),
inference(resolution,[],[f505,f187]) ).
fof(f506,plain,
nil = tl(cons(sk5,nil)),
inference(resolution,[],[f505,f8]) ).
fof(f542,plain,
sk2 = tl(cons(sk5,sk2)),
inference(forward_demodulation,[],[f540,f190]) ).
fof(f540,plain,
sk4 = tl(cons(sk5,sk4)),
inference(resolution,[],[f505,f189]) ).
fof(f541,plain,
sk1 = tl(cons(sk5,sk1)),
inference(forward_demodulation,[],[f539,f191]) ).
fof(f539,plain,
sk3 = tl(cons(sk5,sk3)),
inference(resolution,[],[f505,f188]) ).
fof(f536,plain,
! [X0] :
( tl(X0) = tl(cons(sk5,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f505,f75]) ).
fof(f535,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(sk5,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f505,f85]) ).
fof(f534,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(sk5,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f505,f86]) ).
fof(f504,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f503,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f502,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f501,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f499,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f498,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f497,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f496,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f495,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f492,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f490,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f489,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f313,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f232,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f434,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f433,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f382,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f381,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f346,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f345,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f344,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f343,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f342,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f341,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f340,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f339,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f338,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f337,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f336,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f335,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f334,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f333,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f332,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f331,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f330,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f329,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f328,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f327,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f326,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f312,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f311,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f310,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f309,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f308,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f307,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f306,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f305,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f304,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f303,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f302,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f301,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f300,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f299,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f364,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f363,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f298,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f297,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f296,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f295,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f294,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f293,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f292,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f354,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f353,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f358,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f356,f190]) ).
fof(f356,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f357,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f355,f191]) ).
fof(f355,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f352,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f351,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f350,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f349,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f348,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f347,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f319,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f324,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f322,f190]) ).
fof(f322,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f323,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f321,f191]) ).
fof(f321,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f318,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f317,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f316,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f315,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f314,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f245,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205,f239,f11,f2,f1,f6,f7,f5,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f59,f58,f57,f56,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f166,f165,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208,f242,f82,f80,f84,f78,f76,f77,f75,f109,f104,f235,f234,f110,f105,f107,f114,f106,f103,f108,f102,f157,f211,f212,f243,f213,f244,f169,f149,f233,f131,f168,f132,f100,f119,f118,f123,f133,f232,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f216,f217,f231]) ).
fof(f235,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f233,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f242,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205,f239,f11,f2,f1,f6,f7,f5,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f59,f58,f57,f56,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f166,f165,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208]) ).
fof(f241,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205,f239,f11,f2,f1,f6,f7,f5,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f59,f58,f57,f56,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f166,f165,f167,f90,f91,f164,f163,f206,f240,f207]) ).
fof(f240,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205,f239,f11,f2,f1,f6,f7,f5,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f59,f58,f57,f56,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f166,f165,f167,f90,f91,f164,f163,f206]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f230,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f231,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f216,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f244,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205,f239,f11,f2,f1,f6,f7,f5,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f59,f58,f57,f56,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f166,f165,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208,f242,f82,f80,f84,f78,f76,f77,f75,f109,f104,f235,f234,f110,f105,f107,f114,f106,f103,f108,f102,f157,f211,f212,f243,f213]) ).
fof(f213,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f243,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205,f239,f11,f2,f1,f6,f7,f5,f4,f3,f9,f10,f8,f54,f12,f47,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f59,f58,f57,f56,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f166,f165,f167,f90,f91,f164,f163,f206,f240,f207,f241,f208,f242,f82,f80,f84,f78,f76,f77,f75,f109,f104,f235,f234,f110,f105,f107,f114,f106,f103,f108,f102,f157,f211,f212]) ).
fof(f212,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| totalorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f234,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f208,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f207,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f206,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f239,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f198,f195,f193,f199,f236,f196,f237,f202,f238,f205]) ).
fof(f205,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| neq(sk2,nil)
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X7] :
( ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(X7)
| ~ neq(nil,sk2)
| neq(sk2,nil)
| sk2 != app(X7,sk1)
| cons(hd(sk2),nil) != X7 ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X8,X7] :
( ~ ssItem(X8)
| ~ ssList(sk2)
| ~ ssList(X7)
| ~ neq(nil,sk2)
| neq(sk2,nil)
| hd(sk2) != X8
| sk2 != app(X7,sk1)
| cons(X8,nil) != X7 ),
inference(equality_resolution,[],[f194]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ~ ssItem(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| sk2 != X6
| ~ neq(nil,sk2)
| neq(sk2,nil)
| hd(sk2) != X8
| app(X7,sk1) != X6
| cons(X8,nil) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f2117,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2116,plain,
( $false
| spl0_20 ),
inference(subsumption_resolution,[],[f2115,f249]) ).
fof(f2115,plain,
( ~ ssItem(sk5)
| spl0_20 ),
inference(subsumption_resolution,[],[f2114,f8]) ).
fof(f2114,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_20 ),
inference(resolution,[],[f2108,f86]) ).
fof(f2108,plain,
( ~ ssList(cons(sk5,nil))
| spl0_20 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2113,plain,
( ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f1771,f2110,f2106]) ).
fof(f2110,plain,
( spl0_21
<=> rearsegP(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1912,plain,
( spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1911,plain,
( $false
| spl0_4
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1910,f998]) ).
fof(f1910,plain,
( nil = sk1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1902,f1462]) ).
fof(f1896,plain,
( spl0_4
| spl0_8
| ~ spl0_15
| spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1895,plain,
( $false
| spl0_4
| spl0_8
| ~ spl0_15
| spl0_18
| spl0_19 ),
inference(global_subsumption,[],[f998,f198,f195,f193,f199,f196,f237,f202,f238,f205,f239,f142,f162,f166,f165,f167,f164,f163,f206,f207,f208,f78,f77,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f216,f217,f231,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f314,f315,f316,f317,f318,f323,f324,f319,f320,f74,f347,f348,f349,f350,f351,f352,f357,f358,f353,f354,f362,f292,f293,f294,f295,f296,f297,f298,f75,f363,f364,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f76,f310,f311,f312,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f80,f82,f84,f85,f381,f382,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f313,f96,f489,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f534,f535,f536,f541,f542,f506,f537,f538,f507,f508,f509,f510,f511,f97,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f606,f607,f608,f613,f614,f578,f609,f610,f579,f580,f581,f582,f583,f100,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f101,f595,f596,f597,f598,f599,f512,f513,f514,f515,f516,f517,f102,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f600,f103,f601,f602,f603,f604,f605,f528,f529,f530,f531,f532,f533,f105,f487,f719,f720,f721,f722,f723,f724,f725,f726,f727,f732,f733,f728,f729,f697,f488,f762,f763,f764,f765,f766,f767,f768,f769,f770,f775,f776,f771,f772,f106,f740,f559,f813,f814,f815,f820,f821,f816,f817,f785,f786,f787,f788,f789,f107,f833,f835,f837,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f108,f856,f858,f801,f802,f803,f804,f805,f806,f560,f893,f894,f895,f900,f901,f896,f897,f110,f905,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f114,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f211,f929,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f104,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f987,f981,f982,f989,f991,f983,f109,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1074,f1068,f1069,f1071,f1077,f984,f1090,f118,f119,f120,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1339,f1346,f121,f1356,f1359,f1361,f1363,f1348,f124,f125,f126,f127,f709,f710,f711,f712,f713,f714,f715,f128,f716,f717,f718,f741,f742,f743,f744,f745,f746,f747,f748,f129,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f130,f1601,f1605,f1608,f760,f761,f807,f808,f809,f810,f811,f812,f887,f888,f889,f890,f891,f892,f1326,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1659,f1668,f1458,f1487,f1469,f1622,f1768,f1873,f1771,f1884,f1885,f1886,f1626,f1887,f1070,f1880,f1876]) ).
fof(f1876,plain,
( nil != skaf82(sk2)
| spl0_18 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1070,plain,
( nil = sk1
| sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
inference(resolution,[],[f109,f186]) ).
fof(f1884,plain,
( strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1458,f1469]) ).
fof(f1469,plain,
( strictorderedP(sk2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1468,plain,
( spl0_15
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1487,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_8 ),
inference(subsumption_resolution,[],[f1486,f12]) ).
fof(f1486,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1481,f13]) ).
fof(f1481,plain,
( ~ totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f125,f1339]) ).
fof(f1458,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_8 ),
inference(subsumption_resolution,[],[f1457,f12]) ).
fof(f1457,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1453,f13]) ).
fof(f1453,plain,
( ~ strictorderedP(sk2)
| ~ ssList(skaf82(sk2))
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f124,f1339]) ).
fof(f1348,plain,
( sk2 != skaf82(sk2)
| spl0_8 ),
inference(subsumption_resolution,[],[f1347,f12]) ).
fof(f1347,plain,
( sk2 != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1341,f13]) ).
fof(f1341,plain,
( sk2 != skaf82(sk2)
| ~ ssList(skaf82(sk2))
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f99,f1339]) ).
fof(f1346,plain,
( memberP(sk2,skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1345,f12]) ).
fof(f1345,plain,
( memberP(sk2,skaf83(sk2))
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1340,f13]) ).
fof(f1340,plain,
( memberP(sk2,skaf83(sk2))
| ~ ssList(skaf82(sk2))
| ~ ssItem(skaf83(sk2))
| spl0_8 ),
inference(superposition,[],[f232,f1339]) ).
fof(f1339,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_8 ),
inference(subsumption_resolution,[],[f1071,f1090]) ).
fof(f1894,plain,
( ~ spl0_5
| spl0_8
| ~ spl0_15
| spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1893,plain,
( $false
| ~ spl0_5
| spl0_8
| ~ spl0_15
| spl0_18
| spl0_19 ),
inference(global_subsumption,[],[f1010,f198,f195,f193,f199,f196,f237,f202,f238,f205,f239,f142,f162,f166,f165,f167,f164,f163,f206,f207,f208,f78,f77,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f216,f217,f231,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f314,f315,f316,f317,f318,f323,f324,f319,f320,f74,f347,f348,f349,f350,f351,f352,f357,f358,f353,f354,f362,f292,f293,f294,f295,f296,f297,f298,f75,f363,f364,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f76,f310,f311,f312,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f80,f82,f84,f85,f381,f382,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f313,f96,f489,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f534,f535,f536,f541,f542,f506,f537,f538,f507,f508,f509,f510,f511,f97,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f606,f607,f608,f613,f614,f578,f609,f610,f579,f580,f581,f582,f583,f100,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f101,f595,f596,f597,f598,f599,f512,f513,f514,f515,f516,f517,f102,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f600,f103,f601,f602,f603,f604,f605,f528,f529,f530,f531,f532,f533,f105,f487,f719,f720,f721,f722,f723,f724,f725,f726,f727,f732,f733,f728,f729,f697,f488,f762,f763,f764,f765,f766,f767,f768,f769,f770,f775,f776,f771,f772,f106,f740,f559,f813,f814,f815,f820,f821,f816,f817,f785,f786,f787,f788,f789,f107,f833,f835,f837,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f108,f856,f858,f801,f802,f803,f804,f805,f806,f560,f893,f894,f895,f900,f901,f896,f897,f110,f905,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f114,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f211,f929,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f104,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f987,f981,f982,f989,f991,f983,f109,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1074,f1068,f1069,f1071,f1077,f984,f1090,f118,f119,f120,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1339,f1346,f121,f1356,f1359,f1361,f1363,f1348,f124,f125,f126,f127,f709,f710,f711,f712,f713,f714,f715,f128,f716,f717,f718,f741,f742,f743,f744,f745,f746,f747,f748,f129,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f130,f1601,f1605,f1608,f760,f761,f807,f808,f809,f810,f811,f812,f887,f888,f889,f890,f891,f892,f1326,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1659,f1668,f1458,f1487,f1469,f1622,f1768,f1873,f1771,f1884,f1885,f1886,f1626,f1887,f1070,f1880,f1876]) ).
fof(f1010,plain,
( ssItem(hd(sk1))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl0_5
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1892,plain,
( spl0_8
| ~ spl0_15
| spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1891,plain,
( $false
| spl0_8
| ~ spl0_15
| spl0_18
| spl0_19 ),
inference(global_subsumption,[],[f198,f195,f193,f199,f196,f237,f202,f238,f205,f239,f142,f162,f166,f165,f167,f164,f163,f206,f207,f208,f78,f77,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f216,f217,f231,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f314,f315,f316,f317,f318,f323,f324,f319,f320,f74,f347,f348,f349,f350,f351,f352,f357,f358,f353,f354,f362,f292,f293,f294,f295,f296,f297,f298,f75,f363,f364,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f76,f310,f311,f312,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f80,f82,f84,f85,f381,f382,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f313,f96,f489,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f534,f535,f536,f541,f542,f506,f537,f538,f507,f508,f509,f510,f511,f97,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f606,f607,f608,f613,f614,f578,f609,f610,f579,f580,f581,f582,f583,f100,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f101,f595,f596,f597,f598,f599,f512,f513,f514,f515,f516,f517,f102,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f600,f103,f601,f602,f603,f604,f605,f528,f529,f530,f531,f532,f533,f105,f487,f719,f720,f721,f722,f723,f724,f725,f726,f727,f732,f733,f728,f729,f697,f488,f762,f763,f764,f765,f766,f767,f768,f769,f770,f775,f776,f771,f772,f106,f740,f559,f813,f814,f815,f820,f821,f816,f817,f785,f786,f787,f788,f789,f107,f833,f835,f837,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f108,f856,f858,f801,f802,f803,f804,f805,f806,f560,f893,f894,f895,f900,f901,f896,f897,f110,f905,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f114,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f211,f929,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f104,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f987,f981,f982,f989,f991,f983,f109,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1074,f1068,f1069,f1071,f1077,f984,f1090,f118,f119,f120,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1339,f1346,f121,f1356,f1359,f1361,f1363,f1348,f124,f125,f126,f127,f709,f710,f711,f712,f713,f714,f715,f128,f716,f717,f718,f741,f742,f743,f744,f745,f746,f747,f748,f129,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f130,f1601,f1605,f1608,f760,f761,f807,f808,f809,f810,f811,f812,f887,f888,f889,f890,f891,f892,f1326,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1659,f1668,f1458,f1487,f1469,f1622,f1768,f1873,f1771,f1884,f1885,f1886,f1626,f1887,f1070,f1880,f1876]) ).
fof(f1882,plain,
( spl0_18
| spl0_19
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f1710,f1089,f997,f1879,f1875]) ).
fof(f1710,plain,
( strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f198,f195,f193,f199,f196,f237,f202,f238,f205,f239,f142,f162,f166,f165,f167,f164,f163,f206,f207,f208,f78,f77,f234,f157,f212,f243,f213,f244,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f151,f150,f216,f217,f231,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f220,f158,f172,f221,f152,f153,f154,f222,f230,f177,f224,f225,f226,f227,f228,f229,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f240,f241,f242,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f233,f235,f245,f64,f65,f66,f67,f68,f69,f70,f72,f73,f314,f315,f316,f317,f318,f323,f324,f319,f320,f74,f347,f348,f349,f350,f351,f352,f357,f358,f353,f354,f362,f292,f293,f294,f295,f296,f297,f298,f75,f363,f364,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f76,f310,f311,f312,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f80,f82,f84,f85,f381,f382,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f232,f313,f96,f489,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f534,f535,f536,f541,f542,f506,f537,f538,f507,f508,f509,f510,f511,f97,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f606,f607,f608,f613,f614,f578,f609,f610,f579,f580,f581,f582,f583,f100,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f101,f595,f596,f597,f598,f599,f512,f513,f514,f515,f516,f517,f102,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f600,f103,f601,f602,f603,f604,f605,f528,f529,f530,f531,f532,f533,f105,f487,f719,f720,f721,f722,f723,f724,f725,f726,f727,f732,f733,f728,f729,f697,f488,f762,f763,f764,f765,f766,f767,f768,f769,f770,f775,f776,f771,f772,f106,f740,f559,f813,f814,f815,f820,f821,f816,f817,f785,f786,f787,f788,f789,f107,f833,f835,f837,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f108,f856,f858,f801,f802,f803,f804,f805,f806,f560,f893,f894,f895,f900,f901,f896,f897,f110,f905,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f114,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f211,f929,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f104,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f987,f981,f982,f989,f991,f983,f999,f1026,f109,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1074,f1068,f1069,f1071,f1077,f984,f1090,f118,f119,f120,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1339,f1346,f121,f1356,f1359,f1361,f1363,f1348,f124,f125,f1487,f126,f127,f709,f710,f711,f712,f713,f714,f715,f128,f716,f717,f718,f741,f742,f743,f744,f745,f746,f747,f748,f129,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f130,f1601,f1605,f1608,f760,f761,f807,f808,f809,f810,f811,f812,f887,f888,f889,f1622,f890,f891,f892,f1326,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1642,f1643,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1664,f1659,f1667,f1668,f1662,f1670,f1691,f1698,f1699,f1700,f1703,f1705,f1671,f1709,f1458]) ).
fof(f1709,plain,
( strictorderedP(sk2)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1675,f249]) ).
fof(f1675,plain,
( strictorderedP(sk2)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f66,f1662]) ).
fof(f1671,plain,
( nil = tl(sk2)
| ~ spl0_4 ),
inference(superposition,[],[f506,f1662]) ).
fof(f1705,plain,
( memberP(sk2,sk5)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1704,f249]) ).
fof(f1704,plain,
( memberP(sk2,sk5)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1686,f8]) ).
fof(f1686,plain,
( memberP(sk2,sk5)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f232,f1662]) ).
fof(f1703,plain,
( singletonP(sk2)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1702,f187]) ).
fof(f1702,plain,
( ~ ssList(sk2)
| singletonP(sk2)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1701,f1662]) ).
fof(f1701,plain,
( singletonP(sk2)
| ~ ssList(cons(sk5,nil))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1680,f249]) ).
fof(f1680,plain,
( singletonP(sk2)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f211,f1662]) ).
fof(f1700,plain,
( cyclefreeP(sk2)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1679,f249]) ).
fof(f1679,plain,
( cyclefreeP(sk2)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f70,f1662]) ).
fof(f1699,plain,
( totalorderP(sk2)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1678,f249]) ).
fof(f1678,plain,
( totalorderP(sk2)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f69,f1662]) ).
fof(f1698,plain,
( strictorderP(sk2)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1677,f249]) ).
fof(f1677,plain,
( strictorderP(sk2)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f68,f1662]) ).
fof(f1691,plain,
( equalelemsP(sk2)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1673,f249]) ).
fof(f1673,plain,
( equalelemsP(sk2)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f64,f1662]) ).
fof(f1670,plain,
( hd(sk2) = sk5
| ~ spl0_4 ),
inference(superposition,[],[f578,f1662]) ).
fof(f1662,plain,
( sk2 = cons(sk5,nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1626,f1026]) ).
fof(f1667,plain,
( sk2 = cons(sk5,nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1666,f1026]) ).
fof(f1666,plain,
( cons(sk5,nil) = app(cons(sk5,nil),nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1665,f999]) ).
fof(f1664,plain,
( sk2 = cons(sk5,nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1663,f1026]) ).
fof(f1663,plain,
( cons(sk5,nil) = app(cons(sk5,nil),nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1658,f999]) ).
fof(f1026,plain,
( sk2 = app(cons(sk5,nil),nil)
| ~ spl0_4 ),
inference(superposition,[],[f362,f999]) ).
fof(f1795,plain,
( ~ spl0_13
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f1794,plain,
( $false
| ~ spl0_13
| spl0_16 ),
inference(subsumption_resolution,[],[f1789,f4]) ).
fof(f1789,plain,
( ~ totalorderedP(nil)
| ~ spl0_13
| spl0_16 ),
inference(superposition,[],[f1490,f1462]) ).
fof(f1490,plain,
( ~ totalorderedP(tl(sk2))
| spl0_16 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1489,plain,
( spl0_16
<=> totalorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1793,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1792,plain,
( $false
| ~ spl0_13
| spl0_14 ),
inference(subsumption_resolution,[],[f1788,f3]) ).
fof(f1788,plain,
( ~ strictorderedP(nil)
| ~ spl0_13
| spl0_14 ),
inference(superposition,[],[f1465,f1462]) ).
fof(f1465,plain,
( ~ strictorderedP(tl(sk2))
| spl0_14 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1697,plain,
( ~ spl0_4
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1696]) ).
fof(f1696,plain,
( $false
| ~ spl0_4
| spl0_17 ),
inference(subsumption_resolution,[],[f1695,f249]) ).
fof(f1695,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| spl0_17 ),
inference(subsumption_resolution,[],[f1676,f1495]) ).
fof(f1495,plain,
( ~ totalorderedP(sk2)
| spl0_17 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1493,plain,
( spl0_17
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1676,plain,
( totalorderedP(sk2)
| ~ ssItem(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f67,f1662]) ).
fof(f1694,plain,
( ~ spl0_4
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1693]) ).
fof(f1693,plain,
( $false
| ~ spl0_4
| spl0_15 ),
inference(subsumption_resolution,[],[f1692,f249]) ).
fof(f1692,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| spl0_15 ),
inference(subsumption_resolution,[],[f1675,f1470]) ).
fof(f1470,plain,
( ~ strictorderedP(sk2)
| spl0_15 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1689,plain,
( ~ spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1688,plain,
( $false
| ~ spl0_4
| spl0_13 ),
inference(subsumption_resolution,[],[f1671,f1461]) ).
fof(f1461,plain,
( nil != tl(sk2)
| spl0_13 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1496,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f1485,f1460,f1366,f1101,f1085,f1493,f1489]) ).
fof(f1366,plain,
( spl0_11
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1485,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(subsumption_resolution,[],[f1484,f1102]) ).
fof(f1484,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_7
| ~ spl0_11
| spl0_13 ),
inference(subsumption_resolution,[],[f1483,f1461]) ).
fof(f1483,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1480,f1367]) ).
fof(f1367,plain,
( ssList(tl(sk2))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1480,plain,
( ~ totalorderedP(sk2)
| ~ ssList(tl(sk2))
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f125,f1087]) ).
fof(f1471,plain,
( spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1456,f1366,f1101,f1085,f1468,f1464,f1460]) ).
fof(f1456,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1455,f1102]) ).
fof(f1455,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1452,f1367]) ).
fof(f1452,plain,
( ~ strictorderedP(sk2)
| ~ ssList(tl(sk2))
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f124,f1087]) ).
fof(f1377,plain,
( spl0_8
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1376,plain,
( $false
| spl0_8
| spl0_11 ),
inference(subsumption_resolution,[],[f1375,f187]) ).
fof(f1375,plain,
( ~ ssList(sk2)
| spl0_8
| spl0_11 ),
inference(subsumption_resolution,[],[f1374,f1090]) ).
fof(f1374,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_11 ),
inference(resolution,[],[f1368,f75]) ).
fof(f1368,plain,
( ~ ssList(tl(sk2))
| spl0_11 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1373,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1364,f1101,f1085,f1370,f1366]) ).
fof(f1370,plain,
( spl0_12
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1364,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1093,f1102]) ).
fof(f1093,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f232,f1087]) ).
fof(f1130,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1128,f8]) ).
fof(f1128,plain,
( ~ ssList(nil)
| ~ spl0_8 ),
inference(resolution,[],[f1115,f233]) ).
fof(f1115,plain,
( neq(nil,nil)
| ~ spl0_8 ),
inference(superposition,[],[f236,f1091]) ).
fof(f1091,plain,
( nil = sk2
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1112,plain,
( spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1111,plain,
( $false
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1110,f187]) ).
fof(f1110,plain,
( ~ ssList(sk2)
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1109,f1090]) ).
fof(f1109,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_9 ),
inference(resolution,[],[f1103,f76]) ).
fof(f1103,plain,
( ~ ssItem(hd(sk2))
| spl0_9 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1108,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1099,f1085,f1105,f1101]) ).
fof(f1105,plain,
( spl0_10
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1099,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1098,f187]) ).
fof(f1098,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(inner_rewriting,[],[f1094]) ).
fof(f1094,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_7 ),
inference(superposition,[],[f99,f1087]) ).
fof(f1092,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f984,f1089,f1085]) ).
fof(f1020,plain,
( spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1019,plain,
( $false
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f1018,f186]) ).
fof(f1018,plain,
( ~ ssList(sk1)
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f1017,f998]) ).
fof(f1017,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_5 ),
inference(resolution,[],[f1011,f76]) ).
fof(f1011,plain,
( ~ ssItem(hd(sk1))
| spl0_5 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1016,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1007,f993,f1013,f1009]) ).
fof(f1013,plain,
( spl0_6
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f993,plain,
( spl0_3
<=> sk1 = cons(hd(sk1),tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1007,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1006,f186]) ).
fof(f1006,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(inner_rewriting,[],[f1002]) ).
fof(f1002,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| ~ spl0_3 ),
inference(superposition,[],[f99,f995]) ).
fof(f995,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f1000,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f983,f997,f993]) ).
fof(f256,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f254,f251]) ).
fof(f251,plain,
( spl0_1
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f254,plain,
( spl0_2
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:30:18 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1705)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (1706)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (1711)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (1708)WARNING: value z3 for option sas not known
% 0.14/0.39 % (1710)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (1707)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (1712)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (1708)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (1709)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [2]
% 0.14/0.42 TRYING [3]
% 0.20/0.44 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.47 TRYING [4]
% 0.20/0.54 TRYING [3]
% 0.20/0.55 % (1708)First to succeed.
% 1.45/0.57 % (1708)Refutation found. Thanks to Tanya!
% 1.45/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.58 % (1708)------------------------------
% 1.45/0.58 % (1708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.45/0.58 % (1708)Termination reason: Refutation
% 1.45/0.58
% 1.45/0.58 % (1708)Memory used [KB]: 3183
% 1.45/0.58 % (1708)Time elapsed: 0.178 s
% 1.45/0.58 % (1708)Instructions burned: 335 (million)
% 1.45/0.58 % (1708)------------------------------
% 1.45/0.58 % (1708)------------------------------
% 1.45/0.58 % (1705)Success in time 0.215 s
%------------------------------------------------------------------------------