TSTP Solution File: SWC415-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC415-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:26:57 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 201
% Syntax : Number of formulae : 459 ( 204 unt; 0 def)
% Number of atoms : 1131 ( 323 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1310 ( 638 ~; 668 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 5 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 617 ( 617 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f672,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f363,f649,f651,f671]) ).
fof(f671,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f669,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f669,plain,
( ~ ssList(nil)
| spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f659,f229]) ).
fof(f229,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,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(f659,plain,
( neq(nil,nil)
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f232,f657]) ).
fof(f657,plain,
( nil = sk2
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f656,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f656,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f655,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f655,plain,
( ~ ssList(tl(sk2))
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f654,f361]) ).
fof(f361,plain,
( neq(nil,sk2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl0_4
<=> neq(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f654,plain,
( ~ neq(nil,sk2)
| ~ ssList(tl(sk2))
| spl0_3 ),
inference(subsumption_resolution,[],[f653,f358]) ).
fof(f358,plain,
( sk1 != tl(sk2)
| spl0_3 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl0_3
<=> sk1 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f653,plain,
( sk1 = tl(sk2)
| ~ neq(nil,sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[],[f652,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f652,plain,
( sk3 = tl(sk2)
| ~ neq(nil,sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[],[f491,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f491,plain,
( ~ neq(nil,sk2)
| ~ ssList(tl(sk2))
| sk3 = tl(sk4) ),
inference(forward_demodulation,[],[f490,f190]) ).
fof(f490,plain,
( ~ ssList(tl(sk2))
| ~ neq(nil,sk4)
| sk3 = tl(sk4) ),
inference(subsumption_resolution,[],[f489,f232]) ).
fof(f489,plain,
( ~ neq(sk2,nil)
| ~ ssList(tl(sk2))
| ~ neq(nil,sk4)
| sk3 = tl(sk4) ),
inference(forward_demodulation,[],[f488,f190]) ).
fof(f488,plain,
( ~ ssList(tl(sk2))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = tl(sk4) ),
inference(forward_demodulation,[],[f200,f190]) ).
fof(f200,plain,
( ~ ssList(tl(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = tl(sk4) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X6] :
( ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = X6
| tl(sk4) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f232,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f651,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| spl0_4 ),
inference(global_subsumption,[],[f193,f198,f233,f199,f234,f200,f201,f235,f101,f120,f142,f162,f165,f166,f167,f164,f163,f202,f203,f204,f78,f77,f109,f104,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208,f239,f209,f240,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f212,f213,f227,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f216,f158,f172,f217,f152,f153,f154,f218,f226,f177,f220,f221,f222,f223,f224,f225,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f232,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,f236,f237,f238,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f229,f231,f241,f64,f65,f66,f67,f68,f69,f70,f72,f73,f317,f318,f313,f314,f74,f351,f352,f347,f348,f354,f362,f286,f287,f288,f289,f290,f291,f292,f293,f75,f364,f365,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f76,f305,f306,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f80,f82,f84,f85,f382,f383,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f228,f307,f308,f309,f310,f311,f312,f341,f342,f343,f344,f345,f346,f96,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f97,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f512,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f583,f584,f579,f580,f548,f513,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f626,f627,f622,f623,f100,f638,f640,f645,f647]) ).
fof(f647,plain,
( nil = tl(cons(skac2,nil))
| spl0_4 ),
inference(superposition,[],[f623,f638]) ).
fof(f645,plain,
( ~ neq(nil,nil)
| spl0_4 ),
inference(superposition,[],[f362,f638]) ).
fof(f640,plain,
( neq(nil,nil)
| spl0_4 ),
inference(superposition,[],[f232,f638]) ).
fof(f638,plain,
( nil = sk2
| spl0_4 ),
inference(subsumption_resolution,[],[f637,f8]) ).
fof(f637,plain,
( nil = sk2
| ~ ssList(nil)
| spl0_4 ),
inference(subsumption_resolution,[],[f634,f187]) ).
fof(f634,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil)
| spl0_4 ),
inference(resolution,[],[f100,f362]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f623,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f513,f187]) ).
fof(f622,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f513,f186]) ).
fof(f627,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f625,f190]) ).
fof(f625,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f513,f189]) ).
fof(f626,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f624,f191]) ).
fof(f624,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f513,f188]) ).
fof(f621,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f513,f75]) ).
fof(f620,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f513,f85]) ).
fof(f619,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f513,f86]) ).
fof(f618,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f513,f53]) ).
fof(f617,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f513,f52]) ).
fof(f616,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f513,f51]) ).
fof(f615,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f513,f50]) ).
fof(f614,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f513,f49]) ).
fof(f613,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f513,f48]) ).
fof(f612,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f513,f44]) ).
fof(f611,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f513,f43]) ).
fof(f610,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f513,f42]) ).
fof(f609,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f513,f39]) ).
fof(f608,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f513,f38]) ).
fof(f607,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f513,f37]) ).
fof(f606,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f513,f34]) ).
fof(f605,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f513,f33]) ).
fof(f604,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f513,f32]) ).
fof(f603,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f513,f29]) ).
fof(f602,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f513,f28]) ).
fof(f601,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f513,f27]) ).
fof(f600,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f513,f24]) ).
fof(f599,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f513,f23]) ).
fof(f598,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f513,f22]) ).
fof(f597,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f513,f20]) ).
fof(f596,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f513,f19]) ).
fof(f595,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f513,f18]) ).
fof(f594,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f513,f15]) ).
fof(f593,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f513,f14]) ).
fof(f592,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f513,f13]) ).
fof(f591,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f513,f8]) ).
fof(f513,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f548,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f512,f8]) ).
fof(f580,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f512,f187]) ).
fof(f579,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f512,f186]) ).
fof(f584,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f582,f190]) ).
fof(f582,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f512,f189]) ).
fof(f583,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f581,f191]) ).
fof(f581,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f512,f188]) ).
fof(f578,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f512,f75]) ).
fof(f577,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f512,f85]) ).
fof(f576,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f512,f86]) ).
fof(f575,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f512,f53]) ).
fof(f574,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f512,f52]) ).
fof(f573,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f512,f51]) ).
fof(f572,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f512,f50]) ).
fof(f571,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f512,f49]) ).
fof(f570,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f512,f48]) ).
fof(f569,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f512,f44]) ).
fof(f568,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f512,f43]) ).
fof(f567,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f512,f42]) ).
fof(f566,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f512,f39]) ).
fof(f565,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f512,f38]) ).
fof(f564,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f512,f37]) ).
fof(f563,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f512,f34]) ).
fof(f562,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f512,f33]) ).
fof(f561,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f512,f32]) ).
fof(f560,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f512,f29]) ).
fof(f559,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f512,f28]) ).
fof(f558,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f512,f27]) ).
fof(f557,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f512,f24]) ).
fof(f556,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f512,f23]) ).
fof(f555,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f512,f22]) ).
fof(f554,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f512,f20]) ).
fof(f553,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f512,f19]) ).
fof(f552,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f512,f18]) ).
fof(f551,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f512,f15]) ).
fof(f550,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f512,f14]) ).
fof(f549,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f512,f13]) ).
fof(f512,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f547,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f546,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f545,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f544,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f543,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f542,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f541,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f540,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f539,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f538,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f537,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f536,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f535,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f534,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f533,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f532,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f531,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f530,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f529,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f528,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f527,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f526,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f525,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f524,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f523,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f522,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f521,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f520,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f519,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f518,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f517,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f516,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f515,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f514,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f346,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f345,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f344,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f343,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f342,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f341,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f312,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f311,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f310,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f309,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f308,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f307,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f228,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f434,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f433,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f383,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f382,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f340,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f339,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f338,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f337,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f336,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f335,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f334,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f333,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f332,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f331,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f330,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f329,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f328,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f327,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f326,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f325,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f324,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f323,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f322,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f321,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f320,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f306,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f305,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f304,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f303,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f302,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f301,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f300,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f299,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f298,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f297,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f296,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f295,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f294,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f365,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f364,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f293,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f292,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f291,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f290,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f289,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f288,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f287,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f286,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f362,plain,
( ~ neq(nil,sk2)
| spl0_4 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f354,plain,
( ~ neq(nil,sk2)
| sk1 != tl(sk2) ),
inference(subsumption_resolution,[],[f353,f232]) ).
fof(f353,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| sk1 != tl(sk2) ),
inference(forward_demodulation,[],[f233,f190]) ).
fof(f348,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f347,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f352,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f350,f190]) ).
fof(f350,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f351,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f349,f191]) ).
fof(f349,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f314,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f313,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f318,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f316,f190]) ).
fof(f316,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f317,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f315,f191]) ).
fof(f315,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f241,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201,f235,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f202,f236,f203,f237,f204,f238,f82,f80,f84,f76,f78,f77,f75,f109,f104,f231,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208,f239,f209,f240,f169,f149,f229,f131,f168,f132,f100,f118,f119,f123,f133,f228,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f212,f213,f227]) ).
fof(f231,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,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(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(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(f238,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201,f235,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f202,f236,f203,f237,f204]) ).
fof(f237,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201,f235,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f202,f236,f203]) ).
fof(f236,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201,f235,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f202]) ).
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(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(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f225,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(f224,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(f223,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(f222,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(f221,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(f220,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
| hd(X0) != hd(X1)
| tl(X0) != tl(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f226,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,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(f218,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] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f227,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,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(f213,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(f212,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(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,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] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f240,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201,f235,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f202,f236,f203,f237,f204,f238,f82,f80,f84,f76,f78,f77,f75,f109,f104,f231,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208,f239,f209]) ).
fof(f209,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(f239,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201,f235,f11,f1,f2,f5,f6,f7,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f202,f236,f203,f237,f204,f238,f82,f80,f84,f76,f78,f77,f75,f109,f104,f231,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208]) ).
fof(f208,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(f207,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
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] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f230,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,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(f204,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(f203,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(f202,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(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(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(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(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(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f235,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199,f234,f200,f201]) ).
fof(f201,plain,
( ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| sk3 = tl(sk4)
| neq(sk2,nil) ),
inference(equality_resolution,[],[f194]) ).
fof(f194,axiom,
! [X6] :
( ~ ssList(X6)
| ~ neq(nil,sk4)
| sk3 = X6
| neq(sk2,nil)
| tl(sk4) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f234,plain,
neq(sk2,nil),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198,f233,f199]) ).
fof(f199,plain,
( ~ ssList(sk1)
| ~ neq(nil,sk2)
| neq(sk2,nil)
| sk1 != tl(sk2) ),
inference(equality_resolution,[],[f195]) ).
fof(f195,axiom,
! [X6] :
( ~ ssList(X6)
| sk1 != X6
| ~ neq(nil,sk2)
| neq(sk2,nil)
| tl(sk2) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f233,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != tl(sk2) ),
inference(global_subsumption,[],[f186,f188,f189,f187,f191,f190,f193,f232,f198]) ).
fof(f198,plain,
( ~ ssList(sk1)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != tl(sk2) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,axiom,
! [X6] :
( ~ ssList(X6)
| sk1 != X6
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| tl(sk2) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f649,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| spl0_4 ),
inference(global_subsumption,[],[f193,f198,f233,f199,f234,f200,f201,f235,f101,f120,f142,f162,f165,f166,f167,f164,f163,f202,f203,f204,f78,f77,f109,f104,f230,f110,f105,f107,f114,f106,f103,f108,f102,f157,f207,f208,f239,f209,f240,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f212,f213,f227,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f216,f158,f172,f217,f152,f153,f154,f218,f226,f177,f220,f221,f222,f223,f224,f225,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f232,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,f236,f237,f238,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f229,f231,f241,f64,f65,f66,f67,f68,f69,f70,f72,f73,f317,f318,f313,f314,f74,f351,f352,f347,f348,f354,f362,f286,f287,f288,f289,f290,f291,f292,f293,f75,f364,f365,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f76,f305,f306,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f80,f82,f84,f85,f382,f383,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f228,f307,f308,f309,f310,f311,f312,f341,f342,f343,f344,f345,f346,f96,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f97,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f512,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f583,f584,f579,f580,f548,f513,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f626,f627,f622,f623,f100,f638,f640,f645]) ).
fof(f363,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f354,f360,f356]) ).
fof(f250,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f248,f245]) ).
fof(f245,plain,
( spl0_1
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f248,plain,
( spl0_2
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC415-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:25:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (15206)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (15209)WARNING: value z3 for option sas not known
% 0.14/0.38 % (15208)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (15210)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (15212)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (15213)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (15209)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (15207)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (15211)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 % (15209)First to succeed.
% 0.21/0.41 % (15209)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15206"
% 0.21/0.41 TRYING [3]
% 0.21/0.41 % (15209)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (15209)------------------------------
% 0.21/0.41 % (15209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (15209)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (15209)Memory used [KB]: 1262
% 0.21/0.41 % (15209)Time elapsed: 0.027 s
% 0.21/0.41 % (15209)Instructions burned: 47 (million)
% 0.21/0.41 % (15206)Success in time 0.04 s
%------------------------------------------------------------------------------