TSTP Solution File: SWC092-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC092-1 : 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 : n025.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 : Sun May 5 09:58:30 EDT 2024
% Result : Unsatisfiable 3.03s 0.78s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 236
% Syntax : Number of formulae : 643 ( 146 unt; 0 def)
% Number of atoms : 1729 ( 459 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1927 ( 841 ~;1048 |; 0 &)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 59 ( 57 usr; 39 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% Number of variables : 600 ( 600 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12521,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f257,f411,f414,f640,f644,f713,f732,f734,f903,f919,f923,f1103,f1113,f1117,f1166,f1168,f1190,f1194,f1224,f1228,f1546,f1550,f1754,f1768,f1839,f1853,f1883,f1896,f1908,f1918,f2127,f2232,f12520]) ).
fof(f12520,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f12519]) ).
fof(f12519,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f12518,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f12518,plain,
( ~ ssList(sk1)
| spl0_2 ),
inference(resolution,[],[f12513,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f12513,plain,
( ~ segmentP(sk1,sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f12512,f248]) ).
fof(f248,plain,
( nil != sk1
| spl0_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f12512,plain,
( ~ segmentP(sk1,sk1)
| nil = sk1 ),
inference(subsumption_resolution,[],[f12508,f186]) ).
fof(f12508,plain,
( ~ ssList(sk1)
| ~ segmentP(sk1,sk1)
| nil = sk1 ),
inference(resolution,[],[f12457,f520]) ).
fof(f520,plain,
! [X0] :
( ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f517,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f517,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0) ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0) ),
inference(resolution,[],[f100,f193]) ).
fof(f193,axiom,
! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f12457,plain,
segmentP(sk2,sk1),
inference(subsumption_resolution,[],[f12456,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f12456,plain,
( ~ ssList(sk2)
| segmentP(sk2,sk1) ),
inference(forward_demodulation,[],[f12455,f239]) ).
fof(f239,plain,
sk2 = app(sk1,sk5),
inference(forward_demodulation,[],[f238,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f238,plain,
sk4 = app(sk1,sk5),
inference(forward_demodulation,[],[f195,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f195,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f12455,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,sk5)) ),
inference(subsumption_resolution,[],[f12445,f194]) ).
fof(f194,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f12445,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk1,sk5))
| ~ ssList(sk5) ),
inference(superposition,[],[f8091,f239]) ).
fof(f8091,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f8090,f321]) ).
fof(f321,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f8090,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f8089,f8]) ).
fof(f8089,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f7941,f186]) ).
fof(f7941,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f214,f321]) ).
fof(f214,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
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/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f2232,plain,
( spl0_37
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f2223,f2229,f2225]) ).
fof(f2225,plain,
( spl0_37
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2229,plain,
( spl0_38
<=> frontsegP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2223,plain,
( ~ frontsegP(sk1,sk2)
| sk1 = sk2 ),
inference(subsumption_resolution,[],[f2222,f187]) ).
fof(f2222,plain,
( ~ ssList(sk2)
| ~ frontsegP(sk1,sk2)
| sk1 = sk2 ),
inference(subsumption_resolution,[],[f2221,f186]) ).
fof(f2221,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| ~ frontsegP(sk1,sk2)
| sk1 = sk2 ),
inference(resolution,[],[f2220,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f2220,plain,
frontsegP(sk2,sk1),
inference(subsumption_resolution,[],[f2219,f194]) ).
fof(f2219,plain,
( frontsegP(sk2,sk1)
| ~ ssList(sk5) ),
inference(subsumption_resolution,[],[f2212,f186]) ).
fof(f2212,plain,
( frontsegP(sk2,sk1)
| ~ ssList(sk1)
| ~ ssList(sk5) ),
inference(superposition,[],[f2135,f239]) ).
fof(f2135,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f210,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f210,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/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f2127,plain,
( spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2118,f2124,f2120]) ).
fof(f2120,plain,
( spl0_35
<=> sk2 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2124,plain,
( spl0_36
<=> rearsegP(sk5,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2118,plain,
( ~ rearsegP(sk5,sk2)
| sk2 = sk5 ),
inference(subsumption_resolution,[],[f2117,f187]) ).
fof(f2117,plain,
( ~ ssList(sk2)
| ~ rearsegP(sk5,sk2)
| sk2 = sk5 ),
inference(subsumption_resolution,[],[f2116,f194]) ).
fof(f2116,plain,
( ~ ssList(sk5)
| ~ ssList(sk2)
| ~ rearsegP(sk5,sk2)
| sk2 = sk5 ),
inference(resolution,[],[f2115,f128]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f2115,plain,
rearsegP(sk2,sk5),
inference(subsumption_resolution,[],[f2114,f186]) ).
fof(f2114,plain,
( rearsegP(sk2,sk5)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f2107,f194]) ).
fof(f2107,plain,
( rearsegP(sk2,sk5)
| ~ ssList(sk5)
| ~ ssList(sk1) ),
inference(superposition,[],[f2030,f239]) ).
fof(f2030,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f209,f85]) ).
fof(f209,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/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f1918,plain,
( spl0_33
| ~ spl0_34
| spl0_10
| spl0_28 ),
inference(avatar_split_clause,[],[f1909,f1885,f900,f1915,f1911]) ).
fof(f1911,plain,
( spl0_33
<=> totalorderedP(skaf82(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1915,plain,
( spl0_34
<=> totalorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f900,plain,
( spl0_10
<=> nil = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1885,plain,
( spl0_28
<=> nil = skaf82(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1909,plain,
( ~ totalorderedP(sk5)
| totalorderedP(skaf82(sk5))
| spl0_10
| spl0_28 ),
inference(subsumption_resolution,[],[f1823,f1886]) ).
fof(f1886,plain,
( nil != skaf82(sk5)
| spl0_28 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1823,plain,
( ~ totalorderedP(sk5)
| totalorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| spl0_10 ),
inference(subsumption_resolution,[],[f1822,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f1822,plain,
( ~ totalorderedP(sk5)
| totalorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(subsumption_resolution,[],[f1813,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f1813,plain,
( ~ totalorderedP(sk5)
| ~ ssList(skaf82(sk5))
| totalorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(superposition,[],[f125,f1171]) ).
fof(f1171,plain,
( sk5 = cons(skaf83(sk5),skaf82(sk5))
| spl0_10 ),
inference(global_subsumption,[],[f195,f198,f197,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f77,f227,f157,f205,f232,f206,f233,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f646,f608,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f714,f694,f607,f648,f736,f695,f118,f119,f611,f901,f120,f204,f114,f110,f108,f107,f106,f105,f103,f102,f97,f78,f76,f86,f968,f969,f970,f971,f98,f994,f99,f225,f1081,f1097,f96,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f698]) ).
fof(f698,plain,
( nil = sk5
| sk5 = cons(skaf83(sk5),skaf82(sk5)) ),
inference(resolution,[],[f109,f194]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f1148,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f1144,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f1141,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f1140,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f1138,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f1137,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f1136,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f1135,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f1134,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f1133,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f1097,plain,
( memberP(sk5,skaf83(sk5))
| spl0_10 ),
inference(subsumption_resolution,[],[f1096,f12]) ).
fof(f1096,plain,
( memberP(sk5,skaf83(sk5))
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(subsumption_resolution,[],[f1088,f13]) ).
fof(f1088,plain,
( memberP(sk5,skaf83(sk5))
| ~ ssList(skaf82(sk5))
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(superposition,[],[f225,f994]) ).
fof(f1081,plain,
( sk5 != skaf82(sk5)
| spl0_10 ),
inference(subsumption_resolution,[],[f1080,f12]) ).
fof(f1080,plain,
( sk5 != skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(subsumption_resolution,[],[f1072,f13]) ).
fof(f1072,plain,
( sk5 != skaf82(sk5)
| ~ ssList(skaf82(sk5))
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(superposition,[],[f99,f994]) ).
fof(f225,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,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/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f994,plain,
( sk5 = cons(skaf83(sk5),skaf82(sk5))
| spl0_10 ),
inference(subsumption_resolution,[],[f698,f901]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f971,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f970,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f969,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = cons(X1,X0)
| cons(X1,X0) = cons(hd(cons(X1,X0)),tl(cons(X1,X0))) ),
inference(resolution,[],[f86,f104]) ).
fof(f968,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = cons(X1,X0)
| cons(X1,X0) = cons(skaf83(cons(X1,X0)),skaf82(cons(X1,X0))) ),
inference(resolution,[],[f86,f109]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f204,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/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f901,plain,
( nil != sk5
| spl0_10 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f611,plain,
( nil = sk5
| sk5 = cons(hd(sk5),tl(sk5)) ),
inference(resolution,[],[f104,f194]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f695,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f736,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f735,f190]) ).
fof(f735,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f697,f190]) ).
fof(f697,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f648,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f615,f191]) ).
fof(f615,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f609,f191]) ).
fof(f609,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f607,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f694,plain,
( nil = sk1
| sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
inference(resolution,[],[f109,f186]) ).
fof(f714,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f701,f191]) ).
fof(f701,plain,
( nil = sk1
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(forward_demodulation,[],[f696,f191]) ).
fof(f696,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(resolution,[],[f109,f188]) ).
fof(f693,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f692,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(f690,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f689,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f688,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f687,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f686,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f685,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f684,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f683,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f682,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f681,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f680,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f679,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f678,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f677,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f676,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f675,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f674,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f673,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f672,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f671,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f670,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f669,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f668,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f667,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f666,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f665,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f664,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/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f608,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f646,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f645,f190]) ).
fof(f645,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f610,f190]) ).
fof(f610,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f606,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f605,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(f603,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f602,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f601,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f600,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f599,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f598,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f597,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f596,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f595,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f594,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f593,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f592,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f591,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f590,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f589,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f588,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f587,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f586,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f585,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f584,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f583,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f582,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f581,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f580,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f579,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f578,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f577,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/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f320,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f319,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f318,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f317,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f316,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f315,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f285,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f284,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f283,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f282,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f281,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f280,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f402,plain,
( ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2) ),
inference(subsumption_resolution,[],[f401,f187]) ).
fof(f401,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2) ),
inference(resolution,[],[f193,f192]) ).
fof(f346,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f345,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f314,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f313,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f312,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f311,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f310,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f309,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f308,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f307,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f306,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f305,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f304,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f303,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f302,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f301,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f300,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f299,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f298,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f297,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f296,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f295,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f294,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f279,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f278,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f277,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f276,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f275,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f274,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f273,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f272,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f271,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f270,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f269,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f268,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f267,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f266,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f265,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f264,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f263,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f262,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f261,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f260,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f259,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f329,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f328,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/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f325,plain,
sk5 = app(nil,sk5),
inference(resolution,[],[f74,f194]) ).
fof(f322,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f327,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f324,f190]) ).
fof(f324,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f326,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f323,f191]) ).
fof(f323,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f290,plain,
sk5 = app(sk5,nil),
inference(resolution,[],[f73,f194]) ).
fof(f287,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f286,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f292,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f289,f190]) ).
fof(f289,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f291,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f288,f191]) ).
fof(f288,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f234,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f196,f194,f186,f189,f187,f188,f191,f190,f192,f195,f198,f193,f197,f11,f1,f2,f7,f6,f5,f4,f3,f9,f10,f8,f54,f12,f47,f30,f31,f16,f17,f25,f26,f21,f35,f36,f46,f40,f41,f45,f39,f42,f43,f44,f38,f37,f27,f28,f29,f32,f24,f23,f34,f33,f13,f14,f15,f18,f19,f20,f22,f52,f53,f49,f50,f48,f51,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f91,f164,f90,f163,f199,f229,f200,f230,f201,f231,f82,f80,f84,f78,f76,f75,f77,f109,f104,f228,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f232,f206,f233,f169,f149,f226,f131,f168,f132,f100,f119,f118,f123,f133,f225,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224]) ).
fof(f228,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,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/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f226,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,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/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f240,plain,
( nil != sk1
| nil = sk4 ),
inference(forward_demodulation,[],[f198,f191]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f231,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f196,f194,f186,f189,f187,f188,f191,f190,f192,f195,f198,f193,f197,f11,f1,f2,f7,f6,f5,f4,f3,f9,f10,f8,f54,f12,f47,f30,f31,f16,f17,f25,f26,f21,f35,f36,f46,f40,f41,f45,f39,f42,f43,f44,f38,f37,f27,f28,f29,f32,f24,f23,f34,f33,f13,f14,f15,f18,f19,f20,f22,f52,f53,f49,f50,f48,f51,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f91,f164,f90,f163,f199,f229,f200,f230,f201]) ).
fof(f230,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f196,f194,f186,f189,f187,f188,f191,f190,f192,f195,f198,f193,f197,f11,f1,f2,f7,f6,f5,f4,f3,f9,f10,f8,f54,f12,f47,f30,f31,f16,f17,f25,f26,f21,f35,f36,f46,f40,f41,f45,f39,f42,f43,f44,f38,f37,f27,f28,f29,f32,f24,f23,f34,f33,f13,f14,f15,f18,f19,f20,f22,f52,f53,f49,f50,f48,f51,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f91,f164,f90,f163,f199,f229,f200]) ).
fof(f229,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f196,f194,f186,f189,f187,f188,f191,f190,f192,f195,f198,f193,f197,f11,f1,f2,f7,f6,f5,f4,f3,f9,f10,f8,f54,f12,f47,f30,f31,f16,f17,f25,f26,f21,f35,f36,f46,f40,f41,f45,f39,f42,f43,f44,f38,f37,f27,f28,f29,f32,f24,f23,f34,f33,f13,f14,f15,f18,f19,f20,f22,f52,f53,f49,f50,f48,f51,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f91,f164,f90,f163,f199]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f192,axiom,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f236,plain,
strictorderedP(sk1),
inference(superposition,[],[f196,f191]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f196,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderP(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/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderP(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/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ cyclefreeP(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/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ strictorderedP(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/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ totalorderedP(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/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ equalelemsP(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/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( hd(X0) != hd(X1)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f223,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,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/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f215,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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f213,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(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/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f160,axiom,
! [X0,X1] :
( ~ lt(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(X1)
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f159,axiom,
! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(X1)
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f224,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,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/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f168,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f233,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f196,f194,f186,f189,f187,f188,f191,f190,f192,f195,f198,f193,f197,f11,f1,f2,f7,f6,f5,f4,f3,f9,f10,f8,f54,f12,f47,f30,f31,f16,f17,f25,f26,f21,f35,f36,f46,f40,f41,f45,f39,f42,f43,f44,f38,f37,f27,f28,f29,f32,f24,f23,f34,f33,f13,f14,f15,f18,f19,f20,f22,f52,f53,f49,f50,f48,f51,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f91,f164,f90,f163,f199,f229,f200,f230,f201,f231,f82,f80,f84,f78,f76,f75,f77,f109,f104,f228,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f232,f206]) ).
fof(f206,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/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f232,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f196,f194,f186,f189,f187,f188,f191,f190,f192,f195,f198,f193,f197,f11,f1,f2,f7,f6,f5,f4,f3,f9,f10,f8,f54,f12,f47,f30,f31,f16,f17,f25,f26,f21,f35,f36,f46,f40,f41,f45,f39,f42,f43,f44,f38,f37,f27,f28,f29,f32,f24,f23,f34,f33,f13,f14,f15,f18,f19,f20,f22,f52,f53,f49,f50,f48,f51,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f91,f164,f90,f163,f199,f229,f200,f230,f201,f231,f82,f80,f84,f78,f76,f75,f77,f109,f104,f228,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205]) ).
fof(f205,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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f227,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,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/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f201,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f200,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f199,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause164) ).
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/sandbox/benchmark/theBenchmark.p',clause166) ).
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/sandbox/benchmark/theBenchmark.p',clause165) ).
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/sandbox/benchmark/theBenchmark.p',clause167) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f197,axiom,
! [X8,X6,X9,X7] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ lt(X8,X6)
| sk5 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f198,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f1908,plain,
( spl0_31
| ~ spl0_32
| spl0_1
| spl0_25 ),
inference(avatar_split_clause,[],[f1899,f1872,f242,f1905,f1901]) ).
fof(f1901,plain,
( spl0_31
<=> totalorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1905,plain,
( spl0_32
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f242,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1872,plain,
( spl0_25
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1899,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| spl0_1
| spl0_25 ),
inference(subsumption_resolution,[],[f1821,f1873]) ).
fof(f1873,plain,
( nil != skaf82(sk2)
| spl0_25 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f1821,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f1820,f12]) ).
fof(f1820,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f1812,f13]) ).
fof(f1812,plain,
( ~ totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_1 ),
inference(superposition,[],[f125,f737]) ).
fof(f737,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_1 ),
inference(global_subsumption,[],[f195,f198,f197,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f78,f76,f77,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f232,f206,f233,f169,f149,f131,f168,f132,f119,f118,f123,f133,f225,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f243,f55,f250,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f619,f611,f614,f646,f608,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f695,f698,f714,f694,f607,f648,f736]) ).
fof(f614,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f608,f250]) ).
fof(f619,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(forward_demodulation,[],[f618,f190]) ).
fof(f618,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl0_1 ),
inference(subsumption_resolution,[],[f610,f243]) ).
fof(f250,plain,
( nil != sk2
| spl0_1 ),
inference(superposition,[],[f243,f190]) ).
fof(f243,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f1896,plain,
( spl0_28
| spl0_29
| ~ spl0_30
| spl0_10 ),
inference(avatar_split_clause,[],[f1738,f900,f1893,f1889,f1885]) ).
fof(f1889,plain,
( spl0_29
<=> strictorderedP(skaf82(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1893,plain,
( spl0_30
<=> strictorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1738,plain,
( ~ strictorderedP(sk5)
| strictorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| spl0_10 ),
inference(subsumption_resolution,[],[f1737,f12]) ).
fof(f1737,plain,
( ~ strictorderedP(sk5)
| strictorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(subsumption_resolution,[],[f1727,f13]) ).
fof(f1727,plain,
( ~ strictorderedP(sk5)
| ~ ssList(skaf82(sk5))
| strictorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_10 ),
inference(superposition,[],[f124,f1171]) ).
fof(f1883,plain,
( spl0_25
| spl0_26
| ~ spl0_27
| spl0_1 ),
inference(avatar_split_clause,[],[f1736,f242,f1880,f1876,f1872]) ).
fof(f1876,plain,
( spl0_26
<=> strictorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1880,plain,
( spl0_27
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1736,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f1735,f12]) ).
fof(f1735,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f1726,f13]) ).
fof(f1726,plain,
( ~ strictorderedP(sk2)
| ~ ssList(skaf82(sk2))
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_1 ),
inference(superposition,[],[f124,f737]) ).
fof(f1853,plain,
( ~ spl0_23
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1852,plain,
( $false
| ~ spl0_23
| spl0_24 ),
inference(subsumption_resolution,[],[f1849,f3]) ).
fof(f1849,plain,
( ~ strictorderedP(nil)
| ~ spl0_23
| spl0_24 ),
inference(superposition,[],[f1837,f1834]) ).
fof(f1834,plain,
( nil = tl(sk1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f1832,plain,
( spl0_23
<=> nil = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1837,plain,
( ~ strictorderedP(tl(sk1))
| spl0_24 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1836,plain,
( spl0_24
<=> strictorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1839,plain,
( spl0_23
| spl0_24
| spl0_2
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1743,f1183,f633,f246,f1836,f1832]) ).
fof(f633,plain,
( spl0_7
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1183,plain,
( spl0_15
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1743,plain,
( strictorderedP(tl(sk1))
| nil = tl(sk1)
| spl0_2
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1742,f1184]) ).
fof(f1184,plain,
( ssItem(hd(sk1))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1742,plain,
( strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1741,f634]) ).
fof(f634,plain,
( ssList(tl(sk1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f1741,plain,
( ~ ssList(tl(sk1))
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f1729,f236]) ).
fof(f1729,plain,
( ~ strictorderedP(sk1)
| ~ ssList(tl(sk1))
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f124,f717]) ).
fof(f717,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(global_subsumption,[],[f195,f198,f197,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f78,f76,f77,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f232,f206,f233,f169,f149,f131,f168,f132,f119,f118,f123,f133,f225,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f248,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f617,f611,f613,f646,f608,f648,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f695,f698,f714,f715,f694,f716,f607]) ).
fof(f716,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_2 ),
inference(global_subsumption,[],[f195,f198,f197,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f78,f76,f77,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f232,f206,f233,f169,f149,f131,f168,f132,f119,f118,f123,f133,f225,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f248,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f617,f611,f613,f646,f608,f648,f607,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f695,f698,f714,f715,f694]) ).
fof(f715,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_2 ),
inference(global_subsumption,[],[f195,f198,f197,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f78,f76,f77,f227,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f232,f206,f233,f169,f149,f131,f168,f132,f119,f118,f123,f133,f225,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f248,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f617,f611,f613,f646,f608,f648,f607,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f695,f698,f714]) ).
fof(f613,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f607,f248]) ).
fof(f617,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(forward_demodulation,[],[f616,f191]) ).
fof(f616,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl0_2 ),
inference(subsumption_resolution,[],[f615,f248]) ).
fof(f1768,plain,
( ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1767,plain,
( $false
| ~ spl0_21
| spl0_22 ),
inference(subsumption_resolution,[],[f1755,f3]) ).
fof(f1755,plain,
( ~ strictorderedP(nil)
| ~ spl0_21
| spl0_22 ),
inference(superposition,[],[f1752,f1749]) ).
fof(f1749,plain,
( nil = skaf82(sk1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1747,plain,
( spl0_21
<=> nil = skaf82(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1752,plain,
( ~ strictorderedP(skaf82(sk1))
| spl0_22 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1751,plain,
( spl0_22
<=> strictorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1754,plain,
( spl0_21
| spl0_22
| spl0_2 ),
inference(avatar_split_clause,[],[f1734,f246,f1751,f1747]) ).
fof(f1734,plain,
( strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f1733,f12]) ).
fof(f1733,plain,
( strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f1732,f13]) ).
fof(f1732,plain,
( ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f1725,f236]) ).
fof(f1725,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_2 ),
inference(superposition,[],[f124,f715]) ).
fof(f1550,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1549,plain,
( $false
| spl0_1
| spl0_19 ),
inference(subsumption_resolution,[],[f1548,f187]) ).
fof(f1548,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_19 ),
inference(subsumption_resolution,[],[f1547,f250]) ).
fof(f1547,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_19 ),
inference(resolution,[],[f1541,f75]) ).
fof(f1541,plain,
( ~ ssList(tl(sk2))
| spl0_19 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1539,plain,
( spl0_19
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1546,plain,
( ~ spl0_19
| spl0_20
| spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1537,f1217,f242,f1543,f1539]) ).
fof(f1543,plain,
( spl0_20
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1217,plain,
( spl0_17
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1537,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_1
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1091,f1218]) ).
fof(f1218,plain,
( ssItem(hd(sk2))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1091,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f225,f892]) ).
fof(f892,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f608,f250]) ).
fof(f1228,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1227,plain,
( $false
| spl0_1
| spl0_17 ),
inference(subsumption_resolution,[],[f1226,f187]) ).
fof(f1226,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_17 ),
inference(subsumption_resolution,[],[f1225,f250]) ).
fof(f1225,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_17 ),
inference(resolution,[],[f1219,f76]) ).
fof(f1219,plain,
( ~ ssItem(hd(sk2))
| spl0_17 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1224,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_1 ),
inference(avatar_split_clause,[],[f1085,f242,f1221,f1217]) ).
fof(f1221,plain,
( spl0_18
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1085,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f1084,f187]) ).
fof(f1084,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(inner_rewriting,[],[f1075]) ).
fof(f1075,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f99,f892]) ).
fof(f1194,plain,
( spl0_2
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1193,plain,
( $false
| spl0_2
| spl0_15 ),
inference(subsumption_resolution,[],[f1192,f186]) ).
fof(f1192,plain,
( ~ ssList(sk1)
| spl0_2
| spl0_15 ),
inference(subsumption_resolution,[],[f1191,f248]) ).
fof(f1191,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_15 ),
inference(resolution,[],[f1185,f76]) ).
fof(f1185,plain,
( ~ ssItem(hd(sk1))
| spl0_15 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1190,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1083,f633,f246,f1187,f1183]) ).
fof(f1187,plain,
( spl0_16
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1083,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1074,f634]) ).
fof(f1074,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f99,f717]) ).
fof(f1168,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_10 ),
inference(global_subsumption,[],[f195,f198,f197,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f77,f227,f157,f205,f232,f206,f233,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f405,f410,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f646,f608,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f714,f694,f607,f648,f736,f695,f118,f119,f611,f120,f204,f114,f110,f108,f107,f106,f105,f103,f102,f97,f78,f76,f86,f968,f969,f970,f971,f98,f99,f225,f698,f902,f96,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1132,f1152,f1156,f1157,f1164]) ).
fof(f1164,plain,
( ! [X0] :
( ~ segmentP(sk1,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f1158]) ).
fof(f1158,plain,
( ! [X0] :
( ~ segmentP(sk1,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| nil = X0 )
| ~ spl0_10 ),
inference(superposition,[],[f520,f1132]) ).
fof(f1157,plain,
( ~ segmentP(sk1,sk1)
| spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f410,f1132]) ).
fof(f1156,plain,
( segmentP(sk1,sk1)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f405,f1132]) ).
fof(f1152,plain,
( neq(sk1,nil)
| ~ spl0_10 ),
inference(superposition,[],[f192,f1132]) ).
fof(f1132,plain,
( sk1 = sk2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1121,f286]) ).
fof(f1121,plain,
( sk2 = app(sk1,nil)
| ~ spl0_10 ),
inference(superposition,[],[f239,f902]) ).
fof(f902,plain,
( nil = sk5
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f410,plain,
( ~ segmentP(sk1,sk2)
| spl0_6 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl0_6
<=> segmentP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f405,plain,
( segmentP(sk2,sk2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f404,plain,
( spl0_5
<=> segmentP(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1166,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
fof(f1165,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_10 ),
inference(global_subsumption,[],[f195,f198,f197,f142,f162,f167,f165,f166,f164,f163,f199,f200,f201,f77,f227,f157,f205,f232,f206,f233,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f122,f121,f141,f140,f125,f124,f135,f134,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f159,f160,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,f192,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,f229,f230,f231,f239,f48,f49,f50,f51,f52,f53,f240,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f226,f228,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f286,f287,f290,f74,f326,f327,f321,f322,f325,f75,f328,f329,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f345,f346,f193,f402,f405,f410,f87,f88,f89,f90,f91,f92,f93,f94,f95,f280,f281,f282,f283,f284,f285,f315,f316,f317,f318,f100,f101,f520,f319,f320,f104,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f605,f606,f646,f608,f109,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f692,f693,f714,f694,f607,f648,f736,f695,f118,f119,f611,f120,f204,f114,f110,f108,f107,f106,f105,f103,f102,f97,f78,f76,f86,f968,f969,f970,f971,f98,f99,f225,f698,f902,f96,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1132,f1152,f1156,f1157]) ).
fof(f1117,plain,
( spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1116,plain,
( $false
| spl0_10
| spl0_13 ),
inference(subsumption_resolution,[],[f1115,f194]) ).
fof(f1115,plain,
( ~ ssList(sk5)
| spl0_10
| spl0_13 ),
inference(subsumption_resolution,[],[f1114,f901]) ).
fof(f1114,plain,
( nil = sk5
| ~ ssList(sk5)
| spl0_13 ),
inference(resolution,[],[f1108,f76]) ).
fof(f1108,plain,
( ~ ssItem(hd(sk5))
| spl0_13 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1106,plain,
( spl0_13
<=> ssItem(hd(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1113,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1082,f912,f896,f1110,f1106]) ).
fof(f1110,plain,
( spl0_14
<=> sk5 = tl(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f896,plain,
( spl0_9
<=> sk5 = cons(hd(sk5),tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f912,plain,
( spl0_11
<=> ssList(tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1082,plain,
( sk5 != tl(sk5)
| ~ ssItem(hd(sk5))
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1073,f913]) ).
fof(f913,plain,
( ssList(tl(sk5))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1073,plain,
( sk5 != tl(sk5)
| ~ ssList(tl(sk5))
| ~ ssItem(hd(sk5))
| ~ spl0_9 ),
inference(superposition,[],[f99,f898]) ).
fof(f898,plain,
( sk5 = cons(hd(sk5),tl(sk5))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f1103,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f1101,f194]) ).
fof(f1101,plain,
( ~ ssList(sk5)
| ~ spl0_9
| spl0_10
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f1100,f901]) ).
fof(f1100,plain,
( nil = sk5
| ~ ssList(sk5)
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(resolution,[],[f1099,f76]) ).
fof(f1099,plain,
( ~ ssItem(hd(sk5))
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f1098,f913]) ).
fof(f1098,plain,
( ~ ssList(tl(sk5))
| ~ ssItem(hd(sk5))
| ~ spl0_9
| spl0_12 ),
inference(subsumption_resolution,[],[f1089,f917]) ).
fof(f917,plain,
( ~ memberP(sk5,hd(sk5))
| spl0_12 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f916,plain,
( spl0_12
<=> memberP(sk5,hd(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1089,plain,
( memberP(sk5,hd(sk5))
| ~ ssList(tl(sk5))
| ~ ssItem(hd(sk5))
| ~ spl0_9 ),
inference(superposition,[],[f225,f898]) ).
fof(f923,plain,
( spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f921,f194]) ).
fof(f921,plain,
( ~ ssList(sk5)
| spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f920,f901]) ).
fof(f920,plain,
( nil = sk5
| ~ ssList(sk5)
| spl0_11 ),
inference(resolution,[],[f914,f75]) ).
fof(f914,plain,
( ~ ssList(tl(sk5))
| spl0_11 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f919,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f904,f896,f252,f916,f912]) ).
fof(f252,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f904,plain,
( memberP(sk5,hd(sk5))
| ~ ssList(tl(sk5))
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f417,f898]) ).
fof(f417,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f225,f253]) ).
fof(f253,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f903,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f611,f900,f896]) ).
fof(f734,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f727,f8]) ).
fof(f727,plain,
( ~ ssList(nil)
| ~ spl0_1 ),
inference(resolution,[],[f703,f226]) ).
fof(f703,plain,
( neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f192,f651]) ).
fof(f651,plain,
( nil = sk2
| ~ spl0_1 ),
inference(superposition,[],[f244,f190]) ).
fof(f244,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f732,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f726,f253]) ).
fof(f726,plain,
( ~ ssItem(nil)
| ~ spl0_1 ),
inference(resolution,[],[f703,f228]) ).
fof(f713,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f711,f230]) ).
fof(f711,plain,
( ~ segmentP(nil,nil)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f707,f247]) ).
fof(f247,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f707,plain,
( ~ segmentP(sk1,nil)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f410,f651]) ).
fof(f644,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f643,plain,
( $false
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f642,f186]) ).
fof(f642,plain,
( ~ ssList(sk1)
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f641,f248]) ).
fof(f641,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_7 ),
inference(resolution,[],[f635,f75]) ).
fof(f635,plain,
( ~ ssList(tl(sk1))
| spl0_7 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f640,plain,
( ~ spl0_7
| spl0_8
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f620,f252,f246,f637,f633]) ).
fof(f637,plain,
( spl0_8
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f620,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f417,f613]) ).
fof(f414,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f412,f187]) ).
fof(f412,plain,
( ~ ssList(sk2)
| spl0_5 ),
inference(resolution,[],[f406,f57]) ).
fof(f406,plain,
( ~ segmentP(sk2,sk2)
| spl0_5 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f411,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f402,f408,f404]) ).
fof(f257,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f255,f252]) ).
fof(f255,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f249,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f240,f246,f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC092-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:23:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (8566)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (8570)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (8569)WARNING: value z3 for option sas not known
% 0.21/0.37 % (8567)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (8568)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (8569)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)
% 0.21/0.37 % (8571)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)
% 0.21/0.37 % (8572)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)
% 0.21/0.37 % (8573)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.51 TRYING [3]
% 0.21/0.52 TRYING [5]
% 2.02/0.63 TRYING [4]
% 2.73/0.74 TRYING [6]
% 3.03/0.77 % (8569)First to succeed.
% 3.03/0.78 % (8569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8566"
% 3.03/0.78 % (8569)Refutation found. Thanks to Tanya!
% 3.03/0.78 % SZS status Unsatisfiable for theBenchmark
% 3.03/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/0.78 % (8569)------------------------------
% 3.03/0.78 % (8569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.03/0.78 % (8569)Termination reason: Refutation
% 3.03/0.78
% 3.03/0.78 % (8569)Memory used [KB]: 6810
% 3.03/0.78 % (8569)Time elapsed: 0.406 s
% 3.03/0.78 % (8569)Instructions burned: 1402 (million)
% 3.03/0.78 % (8566)Success in time 0.417 s
%------------------------------------------------------------------------------