TSTP Solution File: SWC407-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC407-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:22:45 EDT 2024
% Result : Unsatisfiable 2.26s 0.71s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 217
% Syntax : Number of formulae : 492 ( 135 unt; 0 def)
% Number of atoms : 1333 ( 335 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1489 ( 648 ~; 820 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 22 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 502 ( 502 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8425,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f254,f267,f276,f671,f675,f807,f811,f842,f851,f885,f889,f899,f932,f936,f1793,f1810,f2341,f2351,f8369,f8424]) ).
fof(f8424,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f8423]) ).
fof(f8423,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f8422,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f8422,plain,
( ~ ssItem(sk5)
| ~ spl0_3 ),
inference(resolution,[],[f837,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f837,plain,
( memberP(nil,sk5)
| ~ spl0_3 ),
inference(superposition,[],[f193,f262]) ).
fof(f262,plain,
( nil = sk1
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl0_3
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f193,axiom,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f8369,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f8368]) ).
fof(f8368,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f8097,f194]) ).
fof(f194,axiom,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f8097,plain,
( memberP(sk2,sk5)
| ~ spl0_1
| spl0_3 ),
inference(superposition,[],[f269,f8094]) ).
fof(f8094,plain,
( sk5 = sk6
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f8090,f192]) ).
fof(f8090,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f8086,f193]) ).
fof(f8086,plain,
( ! [X0] :
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f8085,f71]) ).
fof(f8085,plain,
( ! [X0] :
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| sk6 = X0
| memberP(nil,X0) )
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f8084,f242]) ).
fof(f242,plain,
( ssItem(sk6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_1
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f8084,plain,
( ! [X0] :
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| sk6 = X0
| memberP(nil,X0)
| ~ ssItem(sk6) )
| spl0_3 ),
inference(subsumption_resolution,[],[f8058,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f8058,plain,
( ! [X0] :
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| sk6 = X0
| memberP(nil,X0)
| ~ ssItem(sk6) )
| spl0_3 ),
inference(superposition,[],[f161,f845]) ).
fof(f845,plain,
( sk1 = cons(sk6,nil)
| spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f261,f269,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f651,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f645,f98,f99,f795,f798,f813,f641,f816,f818,f640,f268,f257,f821]) ).
fof(f821,plain,
( sk1 = cons(sk6,nil)
| nil = sk1 ),
inference(forward_demodulation,[],[f294,f191]) ).
fof(f294,plain,
( nil = sk1
| sk3 = cons(sk6,nil) ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f257,plain,
( memberP(sk2,sk6)
| nil = sk1 ),
inference(forward_demodulation,[],[f256,f190]) ).
fof(f256,plain,
( nil = sk1
| memberP(sk4,sk6) ),
inference(forward_demodulation,[],[f200,f191]) ).
fof(f268,plain,
( memberP(sk2,sk6)
| nil = sk2 ),
inference(forward_demodulation,[],[f255,f190]) ).
fof(f255,plain,
( nil = sk2
| memberP(sk4,sk6) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f640,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f818,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f649,f191]) ).
fof(f649,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f642,f191]) ).
fof(f642,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f816,plain,
( sk1 = cons(sk6,nil)
| nil = sk2 ),
inference(forward_demodulation,[],[f277,f191]) ).
fof(f277,plain,
( nil = sk2
| sk3 = cons(sk6,nil) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f641,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f813,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f654,f190]) ).
fof(f654,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f643,f190]) ).
fof(f643,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f798,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_3 ),
inference(subsumption_resolution,[],[f797,f186]) ).
fof(f797,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1))
| spl0_3 ),
inference(inner_rewriting,[],[f795]) ).
fof(f795,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_3 ),
inference(superposition,[],[f99,f645]) ).
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(f645,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_3 ),
inference(subsumption_resolution,[],[f640,f261]) ).
fof(f719,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f718,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f717,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(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f227,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f206,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(f651,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_3 ),
inference(forward_demodulation,[],[f650,f191]) ).
fof(f650,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl0_3 ),
inference(subsumption_resolution,[],[f649,f261]) ).
fof(f639,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f638,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(f636,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f635,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f634,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f633,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f632,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f631,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f630,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f629,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f628,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f627,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f626,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f625,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f624,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f623,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f622,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f621,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f620,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f619,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f618,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f617,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f616,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f615,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f614,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f613,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f612,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f611,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f610,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f358,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f357,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f356,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f355,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f354,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f353,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f324,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f323,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f322,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f321,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f320,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f319,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(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(f352,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f351,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f350,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f349,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f348,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f347,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f346,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f345,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f344,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f343,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f342,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f341,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f340,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f339,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f338,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f337,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f336,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f335,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f334,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f333,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f332,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f318,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f317,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f316,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f315,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f314,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f313,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f312,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f311,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f310,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f309,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f308,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f307,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f306,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f305,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f304,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f303,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f366,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f365,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(f302,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f301,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f300,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f299,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f298,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f360,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f359,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f364,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f362,f190]) ).
fof(f362,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f363,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f361,f191]) ).
fof(f361,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(f326,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f325,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f330,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f328,f190]) ).
fof(f328,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f329,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f327,f191]) ).
fof(f327,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f234,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f192,f186,f187,f188,f189,f194,f191,f190,f193,f196,f195,f198,f200,f197,f199,f11,f1,f2,f6,f5,f7,f3,f4,f10,f9,f8,f54,f47,f12,f17,f16,f21,f30,f26,f25,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f64,f69,f70,f68,f67,f66,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203,f231,f80,f82,f84,f76,f78,f77,f75,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f157,f206,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226]) ).
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(f261,plain,
( nil != sk1
| spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
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,
( nil = sk1
| ssItem(sk6) ),
inference(forward_demodulation,[],[f196,f191]) ).
fof(f237,plain,
( nil = sk2
| ssItem(sk6) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f231,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f192,f186,f187,f188,f189,f194,f191,f190,f193,f196,f195,f198,f200,f197,f199,f11,f1,f2,f6,f5,f7,f3,f4,f10,f9,f8,f54,f47,f12,f17,f16,f21,f30,f26,f25,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f64,f69,f70,f68,f67,f66,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203]) ).
fof(f230,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f192,f186,f187,f188,f189,f194,f191,f190,f193,f196,f195,f198,f200,f197,f199,f11,f1,f2,f6,f5,f7,f3,f4,f10,f9,f8,f54,f47,f12,f17,f16,f21,f30,f26,f25,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f64,f69,f70,f68,f67,f66,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202]) ).
fof(f229,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f192,f186,f187,f188,f189,f194,f191,f190,f193,f196,f195,f198,f200,f197,f199,f11,f1,f2,f6,f5,f7,f3,f4,f10,f9,f8,f54,f47,f12,f17,f16,f21,f30,f26,f25,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f64,f69,f70,f68,f67,f66,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f167,f166,f165,f90,f91,f164,f163,f201]) ).
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(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f224,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(f223,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(f222,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(f221,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(f220,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(f219,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(f225,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f218,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(f217,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(f216,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] :
( ~ 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(f215,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(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(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(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(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(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(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(f226,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,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(f212,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(f211,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(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(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(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] :
( ~ 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] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ 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(f233,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f192,f186,f187,f188,f189,f194,f191,f190,f193,f196,f195,f198,f200,f197,f199,f11,f1,f2,f6,f5,f7,f3,f4,f10,f9,f8,f54,f47,f12,f17,f16,f21,f30,f26,f25,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f64,f69,f70,f68,f67,f66,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203,f231,f80,f82,f84,f76,f78,f77,f75,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f157,f206,f207,f232,f208]) ).
fof(f208,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(f232,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f192,f186,f187,f188,f189,f194,f191,f190,f193,f196,f195,f198,f200,f197,f199,f11,f1,f2,f6,f5,f7,f3,f4,f10,f9,f8,f54,f47,f12,f17,f16,f21,f30,f26,f25,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f64,f69,f70,f68,f67,f66,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203,f231,f80,f82,f84,f76,f78,f77,f75,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f157,f206,f207]) ).
fof(f207,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(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(f228,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,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(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(f203,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(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(f201,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(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(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(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(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(f199,axiom,
( nil = sk3
| sk3 = cons(sk6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f197,axiom,
( nil = sk4
| sk3 = cons(sk6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f200,axiom,
( nil = sk3
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f198,axiom,
( nil = sk4
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f195,axiom,
( ssItem(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f196,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
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(f269,plain,
( memberP(sk2,sk6)
| spl0_3 ),
inference(subsumption_resolution,[],[f257,f261]) ).
fof(f2351,plain,
( spl0_20
| ~ spl0_21
| spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f2342,f2330,f244,f2348,f2344]) ).
fof(f2344,plain,
( spl0_20
<=> totalorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f2348,plain,
( spl0_21
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f244,plain,
( spl0_2
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2330,plain,
( spl0_17
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f2342,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| spl0_2
| spl0_17 ),
inference(subsumption_resolution,[],[f1868,f2331]) ).
fof(f2331,plain,
( nil != skaf82(sk2)
| spl0_17 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f1868,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_2 ),
inference(subsumption_resolution,[],[f1867,f12]) ).
fof(f1867,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_2 ),
inference(subsumption_resolution,[],[f1859,f13]) ).
fof(f1859,plain,
( ~ totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_2 ),
inference(superposition,[],[f125,f1354]) ).
fof(f1354,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_2 ),
inference(subsumption_resolution,[],[f1349,f245]) ).
fof(f245,plain,
( nil != sk2
| spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f1349,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f2341,plain,
( spl0_17
| spl0_18
| ~ spl0_19
| spl0_2 ),
inference(avatar_split_clause,[],[f1770,f244,f2338,f2334,f2330]) ).
fof(f2334,plain,
( spl0_18
<=> strictorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f2338,plain,
( spl0_19
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1770,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| spl0_2 ),
inference(subsumption_resolution,[],[f1769,f12]) ).
fof(f1769,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_2 ),
inference(subsumption_resolution,[],[f1759,f13]) ).
fof(f1759,plain,
( ~ strictorderedP(sk2)
| ~ ssList(skaf82(sk2))
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_2 ),
inference(superposition,[],[f124,f1354]) ).
fof(f1810,plain,
( ~ spl0_15
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1809,plain,
( $false
| ~ spl0_15
| spl0_16 ),
inference(subsumption_resolution,[],[f1794,f3]) ).
fof(f1794,plain,
( ~ strictorderedP(nil)
| ~ spl0_15
| spl0_16 ),
inference(superposition,[],[f1791,f1788]) ).
fof(f1788,plain,
( nil = skaf82(sk1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1786,plain,
( spl0_15
<=> nil = skaf82(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1791,plain,
( ~ strictorderedP(skaf82(sk1))
| spl0_16 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1790,plain,
( spl0_16
<=> strictorderedP(skaf82(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1793,plain,
( spl0_15
| spl0_16
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f1768,f260,f244,f240,f1790,f1786]) ).
fof(f1768,plain,
( strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f1767,f12]) ).
fof(f1767,plain,
( strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f1766,f13]) ).
fof(f1766,plain,
( ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f1758,f289]) ).
fof(f289,plain,
( strictorderedP(sk1)
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f282,f242]) ).
fof(f282,plain,
( strictorderedP(sk1)
| ~ ssItem(sk6)
| spl0_2 ),
inference(superposition,[],[f66,f279]) ).
fof(f279,plain,
( sk1 = cons(sk6,nil)
| spl0_2 ),
inference(forward_demodulation,[],[f278,f191]) ).
fof(f278,plain,
( sk3 = cons(sk6,nil)
| spl0_2 ),
inference(subsumption_resolution,[],[f277,f245]) ).
fof(f1758,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1))
| spl0_3 ),
inference(superposition,[],[f124,f1353]) ).
fof(f1353,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| spl0_3 ),
inference(subsumption_resolution,[],[f1348,f261]) ).
fof(f1348,plain,
( nil = sk1
| sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
inference(resolution,[],[f109,f186]) ).
fof(f936,plain,
( spl0_3
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f935,plain,
( $false
| spl0_3
| spl0_13 ),
inference(subsumption_resolution,[],[f934,f186]) ).
fof(f934,plain,
( ~ ssList(sk1)
| spl0_3
| spl0_13 ),
inference(subsumption_resolution,[],[f933,f261]) ).
fof(f933,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_13 ),
inference(resolution,[],[f927,f75]) ).
fof(f927,plain,
( ~ ssList(tl(sk1))
| spl0_13 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl0_13
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f932,plain,
( ~ spl0_13
| spl0_14
| spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f895,f878,f260,f929,f925]) ).
fof(f929,plain,
( spl0_14
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f878,plain,
( spl0_11
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f895,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| spl0_3
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f891,f879]) ).
fof(f879,plain,
( ssItem(hd(sk1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f891,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_3 ),
inference(superposition,[],[f227,f846]) ).
fof(f846,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f261,f269,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f651,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f645,f98,f99,f795,f798,f813,f641,f816,f818,f268,f257,f821,f845,f640]) ).
fof(f899,plain,
( spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f897,f801]) ).
fof(f801,plain,
( ssItem(hd(sk2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl0_9
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f897,plain,
( ~ ssItem(hd(sk2))
| spl0_2
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f896,f665]) ).
fof(f665,plain,
( ssList(tl(sk2))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl0_7
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f896,plain,
( ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f892,f669]) ).
fof(f669,plain,
( ~ memberP(sk2,hd(sk2))
| spl0_8 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl0_8
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f892,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(superposition,[],[f227,f855]) ).
fof(f855,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_2 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f279,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f656,f648,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f98,f99,f813,f257,f821,f640,f818,f268,f816,f641]) ).
fof(f648,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_2 ),
inference(subsumption_resolution,[],[f641,f245]) ).
fof(f656,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_2 ),
inference(forward_demodulation,[],[f655,f190]) ).
fof(f655,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl0_2 ),
inference(subsumption_resolution,[],[f654,f245]) ).
fof(f889,plain,
( spl0_3
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| spl0_3
| spl0_11 ),
inference(subsumption_resolution,[],[f887,f186]) ).
fof(f887,plain,
( ~ ssList(sk1)
| spl0_3
| spl0_11 ),
inference(subsumption_resolution,[],[f886,f261]) ).
fof(f886,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_11 ),
inference(resolution,[],[f880,f76]) ).
fof(f880,plain,
( ~ ssItem(hd(sk1))
| spl0_11 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f885,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f872,f260,f882,f878]) ).
fof(f882,plain,
( spl0_12
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f872,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f651,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f645,f98,f99,f795,f798,f257,f821,f640,f818,f847,f261,f852,f268,f853,f816,f854,f641,f813,f269,f845,f846,f868]) ).
fof(f868,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_3 ),
inference(superposition,[],[f99,f846]) ).
fof(f854,plain,
( sk1 = cons(sk6,nil)
| spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f651,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f645,f98,f99,f795,f798,f813,f641,f257,f821,f845,f640,f846,f818,f847,f261,f269,f852,f268,f853,f816]) ).
fof(f853,plain,
( memberP(sk2,sk6)
| spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f651,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f645,f98,f99,f795,f798,f813,f641,f816,f257,f821,f845,f640,f846,f818,f847,f261,f269,f852,f268]) ).
fof(f852,plain,
( memberP(sk2,sk6)
| spl0_3 ),
inference(subsumption_resolution,[],[f257,f261]) ).
fof(f847,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f261,f269,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f651,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f645,f98,f99,f795,f798,f813,f641,f816,f268,f257,f821,f845,f640,f846,f818]) ).
fof(f851,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f850,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f849,f242]) ).
fof(f849,plain,
( ~ ssItem(sk6)
| ~ spl0_4 ),
inference(resolution,[],[f266,f71]) ).
fof(f266,plain,
( memberP(nil,sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl0_4
<=> memberP(nil,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f842,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(global_subsumption,[],[f196,f195,f198,f200,f197,f199,f120,f142,f162,f167,f166,f165,f164,f163,f201,f202,f203,f77,f109,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f152,f153,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f193,f194,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f229,f230,f231,f237,f238,f48,f49,f50,f51,f52,f53,f258,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f64,f65,f66,f67,f68,f69,f70,f72,f73,f329,f330,f325,f326,f74,f363,f364,f359,f360,f298,f299,f300,f301,f302,f75,f365,f366,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f80,f82,f84,f85,f382,f383,f87,f88,f89,f90,f91,f92,f93,f94,f95,f319,f320,f321,f322,f323,f324,f353,f354,f355,f101,f356,f357,f358,f104,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f638,f639,f206,f114,f110,f108,f107,f106,f105,f103,f97,f96,f227,f78,f76,f86,f717,f718,f719,f98,f99,f813,f641,f816,f818,f640,f821,f268,f257,f248,f246,f826,f262,f837]) ).
fof(f826,plain,
( ~ memberP(nil,sk5)
| ~ spl0_2 ),
inference(superposition,[],[f194,f246]) ).
fof(f246,plain,
( nil = sk2
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,plain,
( ~ memberP(nil,sk5)
| ~ spl0_2 ),
inference(superposition,[],[f194,f246]) ).
fof(f258,plain,
( memberP(nil,sk6)
| nil = sk1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f257,f246]) ).
fof(f811,plain,
( spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| spl0_2
| spl0_9 ),
inference(subsumption_resolution,[],[f809,f187]) ).
fof(f809,plain,
( ~ ssList(sk2)
| spl0_2
| spl0_9 ),
inference(subsumption_resolution,[],[f808,f245]) ).
fof(f808,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_9 ),
inference(resolution,[],[f802,f76]) ).
fof(f802,plain,
( ~ ssItem(hd(sk2))
| spl0_9 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f807,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f796,f664,f244,f804,f800]) ).
fof(f804,plain,
( spl0_10
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f796,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f794,f665]) ).
fof(f794,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_2 ),
inference(superposition,[],[f99,f648]) ).
fof(f675,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f673,f187]) ).
fof(f673,plain,
( ~ ssList(sk2)
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f672,f245]) ).
fof(f672,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_7 ),
inference(resolution,[],[f666,f75]) ).
fof(f666,plain,
( ~ ssList(tl(sk2))
| spl0_7 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f671,plain,
( ~ spl0_7
| spl0_8
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f657,f271,f244,f668,f664]) ).
fof(f271,plain,
( spl0_5
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f657,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f440,f648]) ).
fof(f440,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f227,f272]) ).
fof(f272,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f276,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f72,f274,f271]) ).
fof(f274,plain,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f267,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f258,f244,f264,f260]) ).
fof(f254,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f251,f248]) ).
fof(f251,plain,
( memberP(nil,sk5)
| spl0_1 ),
inference(superposition,[],[f193,f250]) ).
fof(f250,plain,
( nil = sk1
| spl0_1 ),
inference(subsumption_resolution,[],[f238,f241]) ).
fof(f241,plain,
( ~ ssItem(sk6)
| spl0_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f247,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f237,f244,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:13:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (9559)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (9562)WARNING: value z3 for option sas not known
% 0.22/0.39 % (9563)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (9560)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (9561)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (9564)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)
% 0.22/0.39 % (9562)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)
% 0.22/0.39 % (9565)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)
% 0.22/0.39 % (9566)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.47 TRYING [4]
% 0.22/0.53 TRYING [3]
% 1.42/0.57 TRYING [1]
% 1.42/0.57 TRYING [2]
% 1.42/0.57 TRYING [3]
% 1.42/0.59 TRYING [5]
% 1.42/0.60 TRYING [4]
% 1.95/0.66 TRYING [4]
% 2.26/0.70 TRYING [5]
% 2.26/0.70 % (9562)First to succeed.
% 2.26/0.71 % (9562)Refutation found. Thanks to Tanya!
% 2.26/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.26/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.71 % (9562)------------------------------
% 2.26/0.71 % (9562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.26/0.71 % (9562)Termination reason: Refutation
% 2.26/0.71
% 2.26/0.71 % (9562)Memory used [KB]: 4959
% 2.26/0.71 % (9562)Time elapsed: 0.321 s
% 2.26/0.71 % (9562)Instructions burned: 843 (million)
% 2.26/0.71 % (9562)------------------------------
% 2.26/0.71 % (9562)------------------------------
% 2.26/0.71 % (9559)Success in time 0.332 s
%------------------------------------------------------------------------------