TSTP Solution File: SWC058-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC058-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:41:45 EDT 2024
% Result : Unsatisfiable 1.76s 0.58s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 245
% Syntax : Number of formulae : 614 ( 135 unt; 0 def)
% Number of atoms : 1783 ( 347 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2092 ( 923 ~;1123 |; 0 &)
% ( 46 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 67 ( 65 usr; 47 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 538 ( 538 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7378,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f267,f355,f365,f367,f599,f602,f611,f614,f626,f732,f736,f868,f872,f908,f923,f927,f934,f945,f949,f1760,f1773,f1799,f1808,f1899,f3746,f3848,f6055,f6061,f6107,f6156,f6171,f6207,f6264,f6684,f6690,f6694,f7377]) ).
fof(f7377,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f7376]) ).
fof(f7376,plain,
( $false
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f7375,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f7375,plain,
( ~ ssList(sk2)
| spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f7374,f297]) ).
fof(f297,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f7374,plain,
( ~ ssList(app(sk2,nil))
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f7373,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f7373,plain,
( ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f7366,f606]) ).
fof(f606,plain,
( ~ segmentP(sk2,sk1)
| spl0_7 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl0_7
<=> segmentP(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f7366,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| spl0_2 ),
inference(superposition,[],[f7343,f297]) ).
fof(f7343,plain,
( ! [X0] :
( segmentP(app(sk2,X0),sk1)
| ~ ssList(app(sk2,X0))
| ~ ssList(X0) )
| spl0_2 ),
inference(forward_demodulation,[],[f7342,f2329]) ).
fof(f2329,plain,
( sk2 = app(skaf46(sk2,sk1),sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f2328,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f2328,plain,
( ~ ssList(sk1)
| sk2 = app(skaf46(sk2,sk1),sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f2319,f187]) ).
fof(f2319,plain,
( ~ ssList(sk2)
| ~ ssList(sk1)
| sk2 = app(skaf46(sk2,sk1),sk1)
| spl0_2 ),
inference(resolution,[],[f131,f372]) ).
fof(f372,plain,
( rearsegP(sk2,sk1)
| spl0_2 ),
inference(global_subsumption,[],[f196,f197,f198,f199,f195,f230,f193,f101,f86,f98,f99,f96,f97,f120,f85,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f84,f76,f78,f77,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f205,f206,f234,f207,f235,f169,f149,f168,f131,f132,f100,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f231,f232,f233,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f229,f236,f64,f65,f66,f67,f68,f69,f70,f72,f73,f290,f291,f292,f293,f294,f295,f301,f296,f74,f326,f327,f328,f329,f330,f331,f337,f332,f269,f270,f271,f75,f340,f341,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f80,f82,f359,f194,f338,f302,f370,f371,f245,f297,f333,f357]) ).
fof(f357,plain,
( rearsegP(sk2,sk1)
| nil = sk1 ),
inference(forward_demodulation,[],[f356,f190]) ).
fof(f356,plain,
( rearsegP(sk4,sk1)
| nil = sk1 ),
inference(forward_demodulation,[],[f256,f191]) ).
fof(f256,plain,
( nil = sk1
| rearsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f333,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f245,plain,
( nil != sk2
| spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl0_2
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f371,plain,
( neq(sk1,nil)
| nil = sk2 ),
inference(forward_demodulation,[],[f251,f191]) ).
fof(f251,plain,
( nil = sk2
| neq(sk3,nil) ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f370,plain,
( rearsegP(sk2,sk1)
| nil = sk2 ),
inference(forward_demodulation,[],[f369,f190]) ).
fof(f369,plain,
( rearsegP(sk4,sk1)
| nil = sk2 ),
inference(forward_demodulation,[],[f252,f191]) ).
fof(f252,plain,
( nil = sk2
| rearsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f302,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f299,f190]) ).
fof(f299,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f338,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f335,f190]) ).
fof(f335,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f194,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f359,plain,
( neq(sk1,nil)
| nil = sk1 ),
inference(forward_demodulation,[],[f253,f191]) ).
fof(f253,plain,
( nil = sk1
| neq(sk3,nil) ),
inference(forward_demodulation,[],[f198,f191]) ).
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(f325,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f324,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f323,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f322,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f321,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f320,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f319,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f318,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f317,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f316,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f315,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f314,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f313,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f312,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f311,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f310,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f309,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f308,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f307,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f306,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f305,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f289,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f288,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f287,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f286,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f285,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f284,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f283,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f282,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f281,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f280,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f279,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f278,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f277,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f276,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f275,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f274,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f273,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f272,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f341,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f340,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(f271,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f270,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f269,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f332,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f337,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f334,f191]) ).
fof(f334,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f331,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f330,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f329,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f328,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f327,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f326,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f296,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f301,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f298,f191]) ).
fof(f298,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f295,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f294,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f293,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f292,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f291,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f290,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
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(f236,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f189,f186,f187,f188,f191,f190,f194,f196,f197,f198,f192,f199,f195,f230,f193,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f231,f201,f232,f202,f233,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f205,f206,f234,f207,f235,f169,f149,f227,f168,f131,f132,f100,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225]) ).
fof(f229,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,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(f227,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,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(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
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(f192,axiom,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
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(f233,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f189,f186,f187,f188,f191,f190,f194,f196,f197,f198,f192,f199,f195,f230,f193,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f231,f201,f232,f202]) ).
fof(f232,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f189,f186,f187,f188,f191,f190,f194,f196,f197,f198,f192,f199,f195,f230,f193,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f231,f201]) ).
fof(f231,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f189,f186,f187,f188,f191,f190,f194,f196,f197,f198,f192,f199,f195,f230,f193,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200]) ).
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(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
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(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(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f218,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f224,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,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(f216,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(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(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(f215,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(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(f214,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(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(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(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(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(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(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(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(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(f225,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,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(f211,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(f210,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(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(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(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(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(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(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(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(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(f226,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,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(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(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
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(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(f235,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f189,f186,f187,f188,f191,f190,f194,f196,f197,f198,f192,f199,f195,f230,f193,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f231,f201,f232,f202,f233,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f205,f206,f234,f207]) ).
fof(f207,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(f234,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f189,f186,f187,f188,f191,f190,f194,f196,f197,f198,f192,f199,f195,f230,f193,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f231,f201,f232,f202,f233,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f205,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(f205,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(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(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f228,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,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(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f202,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(f201,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(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(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(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(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(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(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
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(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
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(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f193,axiom,
! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f230,plain,
! [X6] :
( ~ ssList(X6)
| nil != sk1
| ~ neq(X6,nil)
| ~ segmentP(nil,X6)
| ~ segmentP(sk2,X6) ),
inference(inner_rewriting,[],[f195]) ).
fof(f195,axiom,
! [X6] :
( ~ ssList(X6)
| nil != sk1
| ~ neq(X6,nil)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f199,axiom,
( nil = sk3
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f198,axiom,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f197,axiom,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196,axiom,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
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(f7342,plain,
( ! [X0] :
( segmentP(app(sk2,X0),sk1)
| ~ ssList(app(app(skaf46(sk2,sk1),sk1),X0))
| ~ ssList(X0) )
| spl0_2 ),
inference(subsumption_resolution,[],[f7341,f50]) ).
fof(f7341,plain,
( ! [X0] :
( segmentP(app(sk2,X0),sk1)
| ~ ssList(app(app(skaf46(sk2,sk1),sk1),X0))
| ~ ssList(skaf46(sk2,sk1))
| ~ ssList(X0) )
| spl0_2 ),
inference(subsumption_resolution,[],[f7125,f186]) ).
fof(f7125,plain,
( ! [X0] :
( segmentP(app(sk2,X0),sk1)
| ~ ssList(app(app(skaf46(sk2,sk1),sk1),X0))
| ~ ssList(sk1)
| ~ ssList(skaf46(sk2,sk1))
| ~ ssList(X0) )
| spl0_2 ),
inference(superposition,[],[f215,f2329]) ).
fof(f6694,plain,
( spl0_2
| ~ spl0_36
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f6693]) ).
fof(f6693,plain,
( $false
| spl0_2
| ~ spl0_36
| spl0_46 ),
inference(subsumption_resolution,[],[f6692,f187]) ).
fof(f6692,plain,
( ~ ssList(sk2)
| spl0_2
| ~ spl0_36
| spl0_46 ),
inference(subsumption_resolution,[],[f6687,f372]) ).
fof(f6687,plain,
( ~ rearsegP(sk2,sk1)
| ~ ssList(sk2)
| ~ spl0_36
| spl0_46 ),
inference(resolution,[],[f6682,f6068]) ).
fof(f6068,plain,
( ! [X0] :
( rearsegP(X0,skaf48(sk1,sk1))
| ~ rearsegP(X0,sk1)
| ~ ssList(X0) )
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f6067,f48]) ).
fof(f6067,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf48(sk1,sk1))
| ~ rearsegP(X0,sk1)
| rearsegP(X0,skaf48(sk1,sk1)) )
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f6063,f186]) ).
fof(f6063,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(skaf48(sk1,sk1))
| ~ rearsegP(X0,sk1)
| rearsegP(X0,skaf48(sk1,sk1)) )
| ~ spl0_36 ),
inference(resolution,[],[f6054,f153]) ).
fof(f6054,plain,
( rearsegP(sk1,skaf48(sk1,sk1))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f6052]) ).
fof(f6052,plain,
( spl0_36
<=> rearsegP(sk1,skaf48(sk1,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f6682,plain,
( ~ rearsegP(sk2,skaf48(sk1,sk1))
| spl0_46 ),
inference(avatar_component_clause,[],[f6681]) ).
fof(f6681,plain,
( spl0_46
<=> rearsegP(sk2,skaf48(sk1,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f6690,plain,
( spl0_2
| ~ spl0_36
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f6689]) ).
fof(f6689,plain,
( $false
| spl0_2
| ~ spl0_36
| spl0_46 ),
inference(subsumption_resolution,[],[f6688,f6054]) ).
fof(f6688,plain,
( ~ rearsegP(sk1,skaf48(sk1,sk1))
| spl0_2
| spl0_46 ),
inference(subsumption_resolution,[],[f6685,f48]) ).
fof(f6685,plain,
( ~ ssList(skaf48(sk1,sk1))
| ~ rearsegP(sk1,skaf48(sk1,sk1))
| spl0_2
| spl0_46 ),
inference(resolution,[],[f6682,f2548]) ).
fof(f2548,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0) )
| spl0_2 ),
inference(subsumption_resolution,[],[f2547,f50]) ).
fof(f2547,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(skaf46(sk2,sk1)) )
| spl0_2 ),
inference(subsumption_resolution,[],[f2478,f186]) ).
fof(f2478,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(skaf46(sk2,sk1)) )
| spl0_2 ),
inference(superposition,[],[f136,f2329]) ).
fof(f6684,plain,
( ~ spl0_45
| spl0_46
| ~ spl0_36
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f6669,f6168,f6052,f6681,f6677]) ).
fof(f6677,plain,
( spl0_45
<=> rearsegP(skaf48(sk2,sk2),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f6168,plain,
( spl0_42
<=> rearsegP(sk2,skaf48(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f6669,plain,
( rearsegP(sk2,skaf48(sk1,sk1))
| ~ rearsegP(skaf48(sk2,sk2),sk1)
| ~ spl0_36
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6668,f48]) ).
fof(f6668,plain,
( rearsegP(sk2,skaf48(sk1,sk1))
| ~ rearsegP(skaf48(sk2,sk2),sk1)
| ~ ssList(skaf48(sk2,sk2))
| ~ spl0_36
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6662,f48]) ).
fof(f6662,plain,
( ~ ssList(skaf48(sk1,sk1))
| rearsegP(sk2,skaf48(sk1,sk1))
| ~ rearsegP(skaf48(sk2,sk2),sk1)
| ~ ssList(skaf48(sk2,sk2))
| ~ spl0_36
| ~ spl0_42 ),
inference(resolution,[],[f6413,f6068]) ).
fof(f6413,plain,
( ! [X0] :
( ~ rearsegP(skaf48(sk2,sk2),X0)
| ~ ssList(X0)
| rearsegP(sk2,X0) )
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6412,f50]) ).
fof(f6412,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk2,sk2),X0)
| ~ ssList(skaf46(sk2,skaf48(sk2,sk2))) )
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6400,f48]) ).
fof(f6400,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(skaf48(sk2,sk2))
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk2,sk2),X0)
| ~ ssList(skaf46(sk2,skaf48(sk2,sk2))) )
| ~ spl0_42 ),
inference(superposition,[],[f136,f6214]) ).
fof(f6214,plain,
( sk2 = app(skaf46(sk2,skaf48(sk2,sk2)),skaf48(sk2,sk2))
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6213,f48]) ).
fof(f6213,plain,
( ~ ssList(skaf48(sk2,sk2))
| sk2 = app(skaf46(sk2,skaf48(sk2,sk2)),skaf48(sk2,sk2))
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6209,f187]) ).
fof(f6209,plain,
( ~ ssList(sk2)
| ~ ssList(skaf48(sk2,sk2))
| sk2 = app(skaf46(sk2,skaf48(sk2,sk2)),skaf48(sk2,sk2))
| ~ spl0_42 ),
inference(resolution,[],[f6170,f131]) ).
fof(f6170,plain,
( rearsegP(sk2,skaf48(sk2,sk2))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f6168]) ).
fof(f6264,plain,
( spl0_43
| ~ spl0_44
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f6216,f6168,f6261,f6257]) ).
fof(f6257,plain,
( spl0_43
<=> sk2 = skaf48(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f6261,plain,
( spl0_44
<=> rearsegP(skaf48(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f6216,plain,
( ~ rearsegP(skaf48(sk2,sk2),sk2)
| sk2 = skaf48(sk2,sk2)
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6215,f187]) ).
fof(f6215,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf48(sk2,sk2),sk2)
| sk2 = skaf48(sk2,sk2)
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f6210,f48]) ).
fof(f6210,plain,
( ~ ssList(skaf48(sk2,sk2))
| ~ ssList(sk2)
| ~ rearsegP(skaf48(sk2,sk2),sk2)
| sk2 = skaf48(sk2,sk2)
| ~ spl0_42 ),
inference(resolution,[],[f6170,f128]) ).
fof(f6207,plain,
spl0_41,
inference(avatar_contradiction_clause,[],[f6206]) ).
fof(f6206,plain,
( $false
| spl0_41 ),
inference(subsumption_resolution,[],[f6205,f187]) ).
fof(f6205,plain,
( ~ ssList(sk2)
| spl0_41 ),
inference(subsumption_resolution,[],[f6204,f49]) ).
fof(f6204,plain,
( ~ ssList(skaf47(sk2,sk2))
| ~ ssList(sk2)
| spl0_41 ),
inference(resolution,[],[f6166,f85]) ).
fof(f6166,plain,
( ~ ssList(app(skaf47(sk2,sk2),sk2))
| spl0_41 ),
inference(avatar_component_clause,[],[f6164]) ).
fof(f6164,plain,
( spl0_41
<=> ssList(app(skaf47(sk2,sk2),sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f6171,plain,
( ~ spl0_41
| spl0_42
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f6045,f592,f6168,f6164]) ).
fof(f592,plain,
( spl0_5
<=> segmentP(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f6045,plain,
( rearsegP(sk2,skaf48(sk2,sk2))
| ~ ssList(app(skaf47(sk2,sk2),sk2))
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f6034,f48]) ).
fof(f6034,plain,
( rearsegP(sk2,skaf48(sk2,sk2))
| ~ ssList(skaf48(sk2,sk2))
| ~ ssList(app(skaf47(sk2,sk2),sk2))
| ~ spl0_5 ),
inference(superposition,[],[f1974,f5994]) ).
fof(f5994,plain,
( sk2 = app(app(skaf47(sk2,sk2),sk2),skaf48(sk2,sk2))
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f5984,f187]) ).
fof(f5984,plain,
( ~ ssList(sk2)
| sk2 = app(app(skaf47(sk2,sk2),sk2),skaf48(sk2,sk2))
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f5983]) ).
fof(f5983,plain,
( ~ ssList(sk2)
| ~ ssList(sk2)
| sk2 = app(app(skaf47(sk2,sk2),sk2),skaf48(sk2,sk2))
| ~ spl0_5 ),
inference(resolution,[],[f168,f593]) ).
fof(f593,plain,
( segmentP(sk2,sk2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1974,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f210,f85]) ).
fof(f6156,plain,
( spl0_39
| ~ spl0_40
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f6072,f6052,f6153,f6149]) ).
fof(f6149,plain,
( spl0_39
<=> sk1 = skaf48(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f6153,plain,
( spl0_40
<=> rearsegP(skaf48(sk1,sk1),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f6072,plain,
( ~ rearsegP(skaf48(sk1,sk1),sk1)
| sk1 = skaf48(sk1,sk1)
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f6071,f186]) ).
fof(f6071,plain,
( ~ ssList(sk1)
| ~ rearsegP(skaf48(sk1,sk1),sk1)
| sk1 = skaf48(sk1,sk1)
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f6065,f48]) ).
fof(f6065,plain,
( ~ ssList(skaf48(sk1,sk1))
| ~ ssList(sk1)
| ~ rearsegP(skaf48(sk1,sk1),sk1)
| sk1 = skaf48(sk1,sk1)
| ~ spl0_36 ),
inference(resolution,[],[f6054,f128]) ).
fof(f6107,plain,
( spl0_37
| ~ spl0_38
| spl0_2
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f6066,f6052,f244,f6104,f6100]) ).
fof(f6100,plain,
( spl0_37
<=> sk2 = skaf48(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f6104,plain,
( spl0_38
<=> rearsegP(skaf48(sk1,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f6066,plain,
( ~ rearsegP(skaf48(sk1,sk1),sk2)
| sk2 = skaf48(sk1,sk1)
| spl0_2
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f6062,f48]) ).
fof(f6062,plain,
( ~ ssList(skaf48(sk1,sk1))
| ~ rearsegP(skaf48(sk1,sk1),sk2)
| sk2 = skaf48(sk1,sk1)
| spl0_2
| ~ spl0_36 ),
inference(resolution,[],[f6054,f2737]) ).
fof(f2737,plain,
( ! [X0] :
( ~ rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ rearsegP(X0,sk2)
| sk2 = X0 )
| spl0_2 ),
inference(subsumption_resolution,[],[f2734,f187]) ).
fof(f2734,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(sk2)
| ~ rearsegP(X0,sk2)
| sk2 = X0 )
| spl0_2 ),
inference(duplicate_literal_removal,[],[f2733]) ).
fof(f2733,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ rearsegP(X0,sk2)
| sk2 = X0 )
| spl0_2 ),
inference(resolution,[],[f2548,f128]) ).
fof(f6061,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f6060]) ).
fof(f6060,plain,
( $false
| spl0_35 ),
inference(subsumption_resolution,[],[f6059,f186]) ).
fof(f6059,plain,
( ~ ssList(sk1)
| spl0_35 ),
inference(subsumption_resolution,[],[f6058,f49]) ).
fof(f6058,plain,
( ~ ssList(skaf47(sk1,sk1))
| ~ ssList(sk1)
| spl0_35 ),
inference(resolution,[],[f6050,f85]) ).
fof(f6050,plain,
( ~ ssList(app(skaf47(sk1,sk1),sk1))
| spl0_35 ),
inference(avatar_component_clause,[],[f6048]) ).
fof(f6048,plain,
( spl0_35
<=> ssList(app(skaf47(sk1,sk1),sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f6055,plain,
( ~ spl0_35
| spl0_36
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f6019,f608,f6052,f6048]) ).
fof(f608,plain,
( spl0_8
<=> segmentP(sk1,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f6019,plain,
( rearsegP(sk1,skaf48(sk1,sk1))
| ~ ssList(app(skaf47(sk1,sk1),sk1))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f6008,f48]) ).
fof(f6008,plain,
( rearsegP(sk1,skaf48(sk1,sk1))
| ~ ssList(skaf48(sk1,sk1))
| ~ ssList(app(skaf47(sk1,sk1),sk1))
| ~ spl0_8 ),
inference(superposition,[],[f1974,f5993]) ).
fof(f5993,plain,
( sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f5985,f186]) ).
fof(f5985,plain,
( ~ ssList(sk1)
| sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f5982]) ).
fof(f5982,plain,
( ~ ssList(sk1)
| ~ ssList(sk1)
| sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
| ~ spl0_8 ),
inference(resolution,[],[f168,f609]) ).
fof(f609,plain,
( segmentP(sk1,sk1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f3848,plain,
( spl0_33
| ~ spl0_34
| spl0_2 ),
inference(avatar_split_clause,[],[f3836,f244,f3845,f3841]) ).
fof(f3841,plain,
( spl0_33
<=> nil = skaf46(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3845,plain,
( spl0_34
<=> frontsegP(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3836,plain,
( ~ frontsegP(nil,sk2)
| nil = skaf46(sk2,sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f3835,f50]) ).
fof(f3835,plain,
( ~ frontsegP(nil,sk2)
| ~ ssList(skaf46(sk2,sk1))
| nil = skaf46(sk2,sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f3826,f8]) ).
fof(f3826,plain,
( ~ frontsegP(nil,sk2)
| ~ ssList(nil)
| ~ ssList(skaf46(sk2,sk1))
| nil = skaf46(sk2,sk1)
| spl0_2 ),
inference(resolution,[],[f3824,f84]) ).
fof(f3824,plain,
( ! [X0] :
( frontsegP(X0,skaf46(sk2,sk1))
| ~ frontsegP(X0,sk2)
| ~ ssList(X0) )
| spl0_2 ),
inference(subsumption_resolution,[],[f3823,f50]) ).
fof(f3823,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf46(sk2,sk1))
| ~ frontsegP(X0,sk2)
| frontsegP(X0,skaf46(sk2,sk1)) )
| spl0_2 ),
inference(subsumption_resolution,[],[f3807,f187]) ).
fof(f3807,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(skaf46(sk2,sk1))
| ~ frontsegP(X0,sk2)
| frontsegP(X0,skaf46(sk2,sk1)) )
| spl0_2 ),
inference(resolution,[],[f154,f2337]) ).
fof(f2337,plain,
( frontsegP(sk2,skaf46(sk2,sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f2336,f186]) ).
fof(f2336,plain,
( frontsegP(sk2,skaf46(sk2,sk1))
| ~ ssList(sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f2330,f50]) ).
fof(f2330,plain,
( frontsegP(sk2,skaf46(sk2,sk1))
| ~ ssList(skaf46(sk2,sk1))
| ~ ssList(sk1)
| spl0_2 ),
inference(superposition,[],[f2080,f2329]) ).
fof(f2080,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f211,f85]) ).
fof(f3746,plain,
( spl0_31
| ~ spl0_32
| spl0_2 ),
inference(avatar_split_clause,[],[f2340,f244,f3743,f3739]) ).
fof(f3739,plain,
( spl0_31
<=> sk2 = skaf46(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f3743,plain,
( spl0_32
<=> frontsegP(skaf46(sk2,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2340,plain,
( ~ frontsegP(skaf46(sk2,sk1),sk2)
| sk2 = skaf46(sk2,sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f2339,f187]) ).
fof(f2339,plain,
( ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk1),sk2)
| sk2 = skaf46(sk2,sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f2338,f50]) ).
fof(f2338,plain,
( ~ ssList(skaf46(sk2,sk1))
| ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk1),sk2)
| sk2 = skaf46(sk2,sk1)
| spl0_2 ),
inference(resolution,[],[f2337,f129]) ).
fof(f1899,plain,
( spl0_29
| ~ spl0_30
| spl0_2 ),
inference(avatar_split_clause,[],[f1890,f244,f1896,f1892]) ).
fof(f1892,plain,
( spl0_29
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1896,plain,
( spl0_30
<=> rearsegP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1890,plain,
( ~ rearsegP(sk1,sk2)
| sk1 = sk2
| spl0_2 ),
inference(subsumption_resolution,[],[f1889,f187]) ).
fof(f1889,plain,
( ~ ssList(sk2)
| ~ rearsegP(sk1,sk2)
| sk1 = sk2
| spl0_2 ),
inference(subsumption_resolution,[],[f1885,f186]) ).
fof(f1885,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| ~ rearsegP(sk1,sk2)
| sk1 = sk2
| spl0_2 ),
inference(resolution,[],[f128,f372]) ).
fof(f1808,plain,
( spl0_27
| ~ spl0_28
| spl0_9
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(avatar_split_clause,[],[f1786,f1762,f861,f725,f620,f1805,f1801]) ).
fof(f1801,plain,
( spl0_27
<=> totalorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1805,plain,
( spl0_28
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f620,plain,
( spl0_9
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f725,plain,
( spl0_11
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f861,plain,
( spl0_13
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1762,plain,
( spl0_22
<=> nil = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1786,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| spl0_9
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(subsumption_resolution,[],[f1785,f862]) ).
fof(f862,plain,
( ssItem(hd(sk1))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1785,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(subsumption_resolution,[],[f1784,f1763]) ).
fof(f1763,plain,
( nil != tl(sk1)
| spl0_22 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1784,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1777,f726]) ).
fof(f726,plain,
( ssList(tl(sk1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f1777,plain,
( ~ totalorderedP(sk1)
| ~ ssList(tl(sk1))
| totalorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_9 ),
inference(superposition,[],[f125,f909]) ).
fof(f909,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_9 ),
inference(global_subsumption,[],[f196,f197,f198,f199,f195,f193,f120,f142,f162,f167,f165,f166,f164,f163,f200,f201,f202,f77,f109,f228,f157,f206,f234,f207,f235,f169,f149,f168,f131,f132,f119,f118,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f231,f232,f233,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f229,f236,f64,f65,f66,f67,f68,f69,f70,f72,f73,f301,f296,f74,f337,f332,f269,f270,f271,f75,f340,f341,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f80,f82,f194,f338,f302,f370,f371,f297,f333,f357,f359,f84,f85,f379,f380,f87,f88,f89,f90,f91,f92,f93,f94,f95,f290,f291,f292,f293,f294,f295,f100,f101,f326,f327,f328,f329,f330,f331,f230,f622,f104,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f697,f698,f708,f704,f205,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f226,f78,f76,f86,f778,f779,f780,f98,f99,f874,f699]) ).
fof(f699,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f874,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f706,f191]) ).
fof(f706,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f701,f191]) ).
fof(f701,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f780,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f779,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f778,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(f704,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_9 ),
inference(subsumption_resolution,[],[f699,f622]) ).
fof(f708,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_9 ),
inference(forward_demodulation,[],[f707,f191]) ).
fof(f707,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl0_9 ),
inference(subsumption_resolution,[],[f706,f622]) ).
fof(f698,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f697,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(f695,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f694,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f693,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f692,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f691,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f690,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f689,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f688,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f687,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f686,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f685,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f684,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f683,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f682,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f681,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f680,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f679,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f678,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f677,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f676,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f675,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f674,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f673,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f672,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f671,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f670,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f669,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f622,plain,
( nil != sk1
| spl0_9 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f380,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f379,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f1799,plain,
( spl0_25
| ~ spl0_26
| spl0_2
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f1783,f1749,f938,f916,f244,f1796,f1792]) ).
fof(f1792,plain,
( spl0_25
<=> totalorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1796,plain,
( spl0_26
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f916,plain,
( spl0_15
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f938,plain,
( spl0_17
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1749,plain,
( spl0_19
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1783,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| spl0_2
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(subsumption_resolution,[],[f1782,f917]) ).
fof(f917,plain,
( ssItem(hd(sk2))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1782,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_2
| ~ spl0_17
| spl0_19 ),
inference(subsumption_resolution,[],[f1781,f1750]) ).
fof(f1750,plain,
( nil != tl(sk2)
| spl0_19 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1781,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_2
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1776,f939]) ).
fof(f939,plain,
( ssList(tl(sk2))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f1776,plain,
( ~ totalorderedP(sk2)
| ~ ssList(tl(sk2))
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(superposition,[],[f125,f705]) ).
fof(f705,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_2 ),
inference(subsumption_resolution,[],[f700,f245]) ).
fof(f700,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f1773,plain,
( spl0_22
| spl0_23
| ~ spl0_24
| spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1743,f861,f725,f620,f1770,f1766,f1762]) ).
fof(f1766,plain,
( spl0_23
<=> strictorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1770,plain,
( spl0_24
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1743,plain,
( ~ strictorderedP(sk1)
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1742,f862]) ).
fof(f1742,plain,
( ~ strictorderedP(sk1)
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1736,f726]) ).
fof(f1736,plain,
( ~ strictorderedP(sk1)
| ~ ssList(tl(sk1))
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_9 ),
inference(superposition,[],[f124,f909]) ).
fof(f1760,plain,
( spl0_19
| spl0_20
| ~ spl0_21
| spl0_2
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1741,f938,f916,f244,f1757,f1753,f1749]) ).
fof(f1753,plain,
( spl0_20
<=> strictorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1757,plain,
( spl0_21
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1741,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| spl0_2
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1740,f917]) ).
fof(f1740,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_2
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1735,f939]) ).
fof(f1735,plain,
( ~ strictorderedP(sk2)
| ~ ssList(tl(sk2))
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(superposition,[],[f124,f705]) ).
fof(f949,plain,
( spl0_2
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| spl0_2
| spl0_17 ),
inference(subsumption_resolution,[],[f947,f187]) ).
fof(f947,plain,
( ~ ssList(sk2)
| spl0_2
| spl0_17 ),
inference(subsumption_resolution,[],[f946,f245]) ).
fof(f946,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_17 ),
inference(resolution,[],[f940,f75]) ).
fof(f940,plain,
( ~ ssList(tl(sk2))
| spl0_17 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f945,plain,
( ~ spl0_17
| spl0_18
| spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f930,f916,f244,f942,f938]) ).
fof(f942,plain,
( spl0_18
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f930,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_2
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f928,f917]) ).
fof(f928,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(superposition,[],[f226,f705]) ).
fof(f934,plain,
( spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f933,plain,
( $false
| spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f932,f862]) ).
fof(f932,plain,
( ~ ssItem(hd(sk1))
| spl0_9
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f931,f726]) ).
fof(f931,plain,
( ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_9
| spl0_12 ),
inference(subsumption_resolution,[],[f929,f730]) ).
fof(f730,plain,
( ~ memberP(sk1,hd(sk1))
| spl0_12 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl0_12
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f929,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_9 ),
inference(superposition,[],[f226,f909]) ).
fof(f927,plain,
( spl0_2
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| spl0_2
| spl0_15 ),
inference(subsumption_resolution,[],[f925,f187]) ).
fof(f925,plain,
( ~ ssList(sk2)
| spl0_2
| spl0_15 ),
inference(subsumption_resolution,[],[f924,f245]) ).
fof(f924,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_15 ),
inference(resolution,[],[f918,f76]) ).
fof(f918,plain,
( ~ ssItem(hd(sk2))
| spl0_15 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f923,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_2 ),
inference(avatar_split_clause,[],[f859,f244,f920,f916]) ).
fof(f920,plain,
( spl0_16
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f859,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(subsumption_resolution,[],[f858,f187]) ).
fof(f858,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(inner_rewriting,[],[f856]) ).
fof(f856,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(superposition,[],[f99,f705]) ).
fof(f908,plain,
( spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f907,plain,
( $false
| spl0_2
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f901,f8]) ).
fof(f901,plain,
( ~ ssList(nil)
| spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f881,f227]) ).
fof(f881,plain,
( neq(nil,nil)
| spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f373,f621]) ).
fof(f621,plain,
( nil = sk1
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f373,plain,
( neq(sk1,nil)
| spl0_2 ),
inference(global_subsumption,[],[f196,f197,f198,f199,f195,f230,f193,f101,f86,f98,f99,f96,f97,f120,f85,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f84,f76,f78,f77,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f205,f206,f234,f207,f235,f169,f149,f168,f131,f132,f100,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f231,f232,f233,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f229,f236,f64,f65,f66,f67,f68,f69,f70,f72,f73,f290,f291,f292,f293,f294,f295,f301,f296,f74,f326,f327,f328,f329,f330,f331,f337,f332,f269,f270,f271,f75,f340,f341,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f80,f82,f194,f338,f302,f370,f371,f245,f297,f333,f357,f372,f359]) ).
fof(f872,plain,
( spl0_9
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f871]) ).
fof(f871,plain,
( $false
| spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f870,f186]) ).
fof(f870,plain,
( ~ ssList(sk1)
| spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f869,f622]) ).
fof(f869,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_13 ),
inference(resolution,[],[f863,f76]) ).
fof(f863,plain,
( ~ ssItem(hd(sk1))
| spl0_13 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f868,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f857,f725,f620,f865,f861]) ).
fof(f865,plain,
( spl0_14
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f857,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f855,f726]) ).
fof(f855,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_9 ),
inference(superposition,[],[f99,f704]) ).
fof(f736,plain,
( spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| spl0_9
| spl0_11 ),
inference(subsumption_resolution,[],[f734,f186]) ).
fof(f734,plain,
( ~ ssList(sk1)
| spl0_9
| spl0_11 ),
inference(subsumption_resolution,[],[f733,f622]) ).
fof(f733,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_11 ),
inference(resolution,[],[f727,f75]) ).
fof(f727,plain,
( ~ ssList(tl(sk1))
| spl0_11 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f732,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f712,f620,f262,f729,f725]) ).
fof(f262,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f712,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ spl0_3
| spl0_9 ),
inference(superposition,[],[f434,f704]) ).
fof(f434,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f226,f263]) ).
fof(f263,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f626,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f230,f624,f620]) ).
fof(f624,plain,
( spl0_10
<=> ! [X6] :
( ~ ssList(X6)
| ~ segmentP(sk2,X6)
| ~ segmentP(nil,X6)
| ~ neq(X6,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f614,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| spl0_8 ),
inference(subsumption_resolution,[],[f612,f186]) ).
fof(f612,plain,
( ~ ssList(sk1)
| spl0_8 ),
inference(resolution,[],[f610,f57]) ).
fof(f610,plain,
( ~ segmentP(sk1,sk1)
| spl0_8 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f611,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f589,f244,f608,f604]) ).
fof(f589,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(sk2,sk1)
| spl0_2 ),
inference(subsumption_resolution,[],[f584,f186]) ).
fof(f584,plain,
( ~ ssList(sk1)
| ~ segmentP(sk1,sk1)
| ~ segmentP(sk2,sk1)
| spl0_2 ),
inference(resolution,[],[f582,f373]) ).
fof(f582,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6) )
| spl0_2 ),
inference(subsumption_resolution,[],[f193,f245]) ).
fof(f602,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f600,f187]) ).
fof(f600,plain,
( ~ ssList(sk2)
| spl0_5 ),
inference(resolution,[],[f594,f57]) ).
fof(f594,plain,
( ~ segmentP(sk2,sk2)
| spl0_5 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f599,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f588,f244,f240,f596,f592]) ).
fof(f596,plain,
( spl0_6
<=> segmentP(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f240,plain,
( spl0_1
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f588,plain,
( ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2)
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f583,f187]) ).
fof(f583,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2)
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f582,f242]) ).
fof(f242,plain,
( neq(sk2,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f367,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f366,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f363,f8]) ).
fof(f363,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f361,f227]) ).
fof(f361,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f242,f246]) ).
fof(f246,plain,
( nil = sk2
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f365,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f362,f263]) ).
fof(f362,plain,
( ~ ssItem(nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f361,f229]) ).
fof(f355,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f353,f250]) ).
fof(f250,plain,
( nil != sk1
| spl0_1 ),
inference(subsumption_resolution,[],[f194,f241]) ).
fof(f241,plain,
( ~ neq(sk2,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f353,plain,
( nil = sk1
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f348,f186]) ).
fof(f348,plain,
( ~ ssList(sk1)
| nil = sk1
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f82,f260]) ).
fof(f260,plain,
( rearsegP(nil,sk1)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f259,f246]) ).
fof(f259,plain,
( rearsegP(sk2,sk1)
| spl0_1 ),
inference(forward_demodulation,[],[f258,f190]) ).
fof(f258,plain,
( rearsegP(sk4,sk1)
| spl0_1 ),
inference(forward_demodulation,[],[f257,f191]) ).
fof(f257,plain,
( rearsegP(sk4,sk3)
| spl0_1 ),
inference(subsumption_resolution,[],[f256,f250]) ).
fof(f267,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f265,f262]) ).
fof(f265,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f247,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f192,f244,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC058-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 03:12:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (26201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (26204)WARNING: value z3 for option sas not known
% 0.18/0.35 % (26204)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)
% 0.18/0.35 % (26205)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.35 % (26203)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.35 % (26209)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)
% 0.18/0.35 % (26206)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)
% 0.18/0.35 % (26208)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)
% 0.18/0.35 % (26202)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.37 TRYING [3]
% 0.18/0.39 TRYING [1]
% 0.18/0.39 TRYING [2]
% 0.18/0.42 TRYING [4]
% 0.18/0.45 TRYING [3]
% 0.18/0.53 TRYING [5]
% 0.18/0.57 % (26204)First to succeed.
% 1.76/0.58 % (26204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26201"
% 1.76/0.58 % (26204)Refutation found. Thanks to Tanya!
% 1.76/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.76/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58 % (26204)------------------------------
% 1.76/0.58 % (26204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.76/0.58 % (26204)Termination reason: Refutation
% 1.76/0.58
% 1.76/0.58 % (26204)Memory used [KB]: 4305
% 1.76/0.58 % (26204)Time elapsed: 0.230 s
% 1.76/0.58 % (26204)Instructions burned: 679 (million)
% 1.76/0.58 % (26201)Success in time 0.246 s
%------------------------------------------------------------------------------