TSTP Solution File: SWC031-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC031-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:40:43 EDT 2024
% Result : Unsatisfiable 4.94s 1.10s
% Output : Refutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 259
% Syntax : Number of formulae : 850 ( 149 unt; 0 def)
% Number of atoms : 2530 ( 545 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 3158 (1478 ~;1615 |; 0 &)
% ( 65 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 86 ( 84 usr; 66 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 643 ( 643 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15023,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f256,f619,f623,f919,f930,f962,f1018,f1080,f1084,f1172,f1187,f1196,f1229,f1247,f1598,f1601,f1753,f1756,f1808,f1831,f1838,f1840,f1902,f1910,f2007,f2016,f2025,f2029,f3042,f3857,f3883,f4311,f5469,f5470,f5491,f7105,f8507,f8509,f8510,f8604,f11466,f11470,f11749,f11753,f12063,f12562,f13755,f13764,f13866,f14057,f14490,f14536,f14749,f15010,f15019,f15021]) ).
fof(f15021,plain,
( ~ spl0_4
| ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f15020]) ).
fof(f15020,plain,
( $false
| ~ spl0_4
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f15015,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f15015,plain,
( ~ ssList(sk2)
| ~ spl0_4
| ~ spl0_42
| ~ spl0_43 ),
inference(resolution,[],[f15013,f11465]) ).
fof(f11465,plain,
( ssList(cons(skac3,sk2))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f11463]) ).
fof(f11463,plain,
( spl0_43
<=> ssList(cons(skac3,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f15013,plain,
( ! [X0] :
( ~ ssList(cons(skac3,X0))
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f15012,f11460]) ).
fof(f11460,plain,
( ssList(cons(skac3,nil))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f11459]) ).
fof(f11459,plain,
( spl0_42
<=> ssList(cons(skac3,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f15012,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(skac3,nil))
| ~ ssList(cons(skac3,X0)) )
| ~ spl0_4
| ~ spl0_42 ),
inference(resolution,[],[f12134,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f12134,plain,
( ! [X0] :
( ~ ssList(app(cons(skac3,nil),cons(skac3,X0)))
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f12133,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f12133,plain,
( ! [X0] :
( ~ ssList(app(cons(skac3,nil),cons(skac3,X0)))
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f12111,f9]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f12111,plain,
( ! [X0] :
( ~ ssList(app(cons(skac3,nil),cons(skac3,X0)))
| ~ ssItem(skac3)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_42 ),
inference(duplicate_literal_removal,[],[f12092]) ).
fof(f12092,plain,
( ! [X0] :
( ~ ssList(app(cons(skac3,nil),cons(skac3,X0)))
| ~ ssItem(skac3)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_42 ),
inference(superposition,[],[f9431,f11472]) ).
fof(f11472,plain,
( cons(skac3,nil) = app(nil,cons(skac3,nil))
| ~ spl0_42 ),
inference(resolution,[],[f11460,f74]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f9431,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f215,f255]) ).
fof(f255,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f15019,plain,
( ~ spl0_4
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f15018]) ).
fof(f15018,plain,
( $false
| ~ spl0_4
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f15014,f8]) ).
fof(f15014,plain,
( ~ ssList(nil)
| ~ spl0_4
| ~ spl0_42 ),
inference(resolution,[],[f15013,f11460]) ).
fof(f15010,plain,
( spl0_64
| ~ spl0_65
| ~ spl0_44
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f12085,f11746,f11742,f15007,f15003]) ).
fof(f15003,plain,
( spl0_64
<=> sk2 = cons(skac2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f15007,plain,
( spl0_65
<=> rearsegP(sk2,cons(skac2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f11742,plain,
( spl0_44
<=> ssList(cons(skac2,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f11746,plain,
( spl0_45
<=> ssList(cons(skac2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f12085,plain,
( ~ rearsegP(sk2,cons(skac2,sk2))
| sk2 = cons(skac2,sk2)
| ~ spl0_44
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f12084,f11748]) ).
fof(f11748,plain,
( ssList(cons(skac2,sk2))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f11746]) ).
fof(f12084,plain,
( ~ ssList(cons(skac2,sk2))
| ~ rearsegP(sk2,cons(skac2,sk2))
| sk2 = cons(skac2,sk2)
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f12079,f187]) ).
fof(f12079,plain,
( ~ ssList(sk2)
| ~ ssList(cons(skac2,sk2))
| ~ rearsegP(sk2,cons(skac2,sk2))
| sk2 = cons(skac2,sk2)
| ~ spl0_44 ),
inference(resolution,[],[f12076,f128]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f12076,plain,
( rearsegP(cons(skac2,sk2),sk2)
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f11738,f11743]) ).
fof(f11743,plain,
( ssList(cons(skac2,nil))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f11742]) ).
fof(f11738,plain,
( rearsegP(cons(skac2,sk2),sk2)
| ~ ssList(cons(skac2,nil)) ),
inference(subsumption_resolution,[],[f11719,f187]) ).
fof(f11719,plain,
( rearsegP(cons(skac2,sk2),sk2)
| ~ ssList(sk2)
| ~ ssList(cons(skac2,nil)) ),
inference(superposition,[],[f1470,f11658]) ).
fof(f11658,plain,
cons(skac2,sk2) = app(cons(skac2,nil),sk2),
inference(resolution,[],[f2494,f187]) ).
fof(f2494,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) ),
inference(resolution,[],[f120,f10]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
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(f1470,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f209,f85]) ).
fof(f209,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f14749,plain,
( spl0_62
| ~ spl0_63
| ~ spl0_42
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f12074,f11463,f11459,f14746,f14742]) ).
fof(f14742,plain,
( spl0_62
<=> sk2 = cons(skac3,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f14746,plain,
( spl0_63
<=> rearsegP(sk2,cons(skac3,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f12074,plain,
( ~ rearsegP(sk2,cons(skac3,sk2))
| sk2 = cons(skac3,sk2)
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f12073,f11465]) ).
fof(f12073,plain,
( ~ ssList(cons(skac3,sk2))
| ~ rearsegP(sk2,cons(skac3,sk2))
| sk2 = cons(skac3,sk2)
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f12068,f187]) ).
fof(f12068,plain,
( ~ ssList(sk2)
| ~ ssList(cons(skac3,sk2))
| ~ rearsegP(sk2,cons(skac3,sk2))
| sk2 = cons(skac3,sk2)
| ~ spl0_42 ),
inference(resolution,[],[f12065,f128]) ).
fof(f12065,plain,
( rearsegP(cons(skac3,sk2),sk2)
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f11455,f11460]) ).
fof(f11455,plain,
( rearsegP(cons(skac3,sk2),sk2)
| ~ ssList(cons(skac3,nil)) ),
inference(subsumption_resolution,[],[f11436,f187]) ).
fof(f11436,plain,
( rearsegP(cons(skac3,sk2),sk2)
| ~ ssList(sk2)
| ~ ssList(cons(skac3,nil)) ),
inference(superposition,[],[f1470,f11413]) ).
fof(f11413,plain,
cons(skac3,sk2) = app(cons(skac3,nil),sk2),
inference(resolution,[],[f2493,f187]) ).
fof(f2493,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) ),
inference(resolution,[],[f120,f9]) ).
fof(f14536,plain,
( spl0_60
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f12054,f14533,f14529]) ).
fof(f14529,plain,
( spl0_60
<=> sk2 = skaf47(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f14533,plain,
( spl0_61
<=> frontsegP(skaf47(sk2,nil),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f12054,plain,
( ~ frontsegP(skaf47(sk2,nil),sk2)
| sk2 = skaf47(sk2,nil) ),
inference(subsumption_resolution,[],[f12053,f187]) ).
fof(f12053,plain,
( ~ ssList(sk2)
| ~ frontsegP(skaf47(sk2,nil),sk2)
| sk2 = skaf47(sk2,nil) ),
inference(subsumption_resolution,[],[f12047,f49]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f12047,plain,
( ~ ssList(skaf47(sk2,nil))
| ~ ssList(sk2)
| ~ frontsegP(skaf47(sk2,nil),sk2)
| sk2 = skaf47(sk2,nil) ),
inference(resolution,[],[f12034,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f12034,plain,
frontsegP(sk2,skaf47(sk2,nil)),
inference(subsumption_resolution,[],[f12033,f48]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f12033,plain,
( frontsegP(sk2,skaf47(sk2,nil))
| ~ ssList(skaf48(nil,sk2)) ),
inference(subsumption_resolution,[],[f12006,f49]) ).
fof(f12006,plain,
( frontsegP(sk2,skaf47(sk2,nil))
| ~ ssList(skaf47(sk2,nil))
| ~ ssList(skaf48(nil,sk2)) ),
inference(superposition,[],[f1619,f11930]) ).
fof(f11930,plain,
sk2 = app(skaf47(sk2,nil),skaf48(nil,sk2)),
inference(resolution,[],[f6487,f187]) ).
fof(f6487,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf47(X0,nil),skaf48(nil,X0)) = X0 ),
inference(forward_demodulation,[],[f6486,f280]) ).
fof(f280,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f6486,plain,
! [X0] :
( ~ ssList(X0)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 ),
inference(subsumption_resolution,[],[f6482,f8]) ).
fof(f6482,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f6479]) ).
fof(f6479,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f168,f56]) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f168,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f1619,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f210,f85]) ).
fof(f210,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f14490,plain,
( spl0_58
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f12043,f14487,f14483]) ).
fof(f14483,plain,
( spl0_58
<=> sk2 = skaf48(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f14487,plain,
( spl0_59
<=> rearsegP(skaf48(nil,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f12043,plain,
( ~ rearsegP(skaf48(nil,sk2),sk2)
| sk2 = skaf48(nil,sk2) ),
inference(subsumption_resolution,[],[f12042,f187]) ).
fof(f12042,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf48(nil,sk2),sk2)
| sk2 = skaf48(nil,sk2) ),
inference(subsumption_resolution,[],[f12037,f48]) ).
fof(f12037,plain,
( ~ ssList(skaf48(nil,sk2))
| ~ ssList(sk2)
| ~ rearsegP(skaf48(nil,sk2),sk2)
| sk2 = skaf48(nil,sk2) ),
inference(resolution,[],[f12032,f128]) ).
fof(f12032,plain,
rearsegP(sk2,skaf48(nil,sk2)),
inference(subsumption_resolution,[],[f12031,f49]) ).
fof(f12031,plain,
( rearsegP(sk2,skaf48(nil,sk2))
| ~ ssList(skaf47(sk2,nil)) ),
inference(subsumption_resolution,[],[f12005,f48]) ).
fof(f12005,plain,
( rearsegP(sk2,skaf48(nil,sk2))
| ~ ssList(skaf48(nil,sk2))
| ~ ssList(skaf47(sk2,nil)) ),
inference(superposition,[],[f1470,f11930]) ).
fof(f14057,plain,
( ~ spl0_56
| ~ spl0_57
| spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f14029,f1169,f243,f239,f14054,f14050]) ).
fof(f14050,plain,
( spl0_56
<=> leq(skaf65(sk2),skaf64(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f14054,plain,
( spl0_57
<=> leq(skaf64(sk2),skaf65(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f239,plain,
( spl0_1
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f243,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1169,plain,
( spl0_12
<=> cyclefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f14029,plain,
( ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f14028,f1171]) ).
fof(f1171,plain,
( cyclefreeP(sk2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f14028,plain,
( ~ cyclefreeP(sk2)
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14027,f8320]) ).
fof(f8320,plain,
( sk2 = app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2)))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f8316,f513]) ).
fof(f513,plain,
( ~ totalorderedP(sk2)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f512,f187]) ).
fof(f512,plain,
( ~ ssList(sk2)
| ~ totalorderedP(sk2)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f511,f240]) ).
fof(f240,plain,
( nil != sk2
| spl0_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f511,plain,
( nil = sk2
| ~ ssList(sk2)
| ~ totalorderedP(sk2)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f510,plain,
( nil = sk2
| ~ ssList(sk2)
| ~ totalorderedP(sk2)
| ~ ssList(sk2)
| ~ spl0_2 ),
inference(resolution,[],[f506,f61]) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f506,plain,
( ! [X0] :
( ~ frontsegP(sk2,X0)
| nil = X0
| ~ ssList(X0)
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f505,f8]) ).
fof(f505,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ ssList(nil)
| ~ frontsegP(sk2,X0)
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f504,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ ssList(nil)
| ~ frontsegP(sk2,X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f100,f406]) ).
fof(f406,plain,
( ! [X6] :
( ~ neq(nil,X6)
| ~ frontsegP(sk2,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f405,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f405,plain,
( ! [X6] :
( ~ neq(nil,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ frontsegP(sk4,X6) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f404,f56]) ).
fof(f404,plain,
( ! [X6] :
( ~ segmentP(X6,nil)
| ~ neq(nil,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ frontsegP(sk4,X6) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f403,f245]) ).
fof(f245,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f403,plain,
( ! [X6] :
( ~ segmentP(X6,sk1)
| ~ neq(nil,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ frontsegP(sk4,X6) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f402,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f402,plain,
( ! [X6] :
( ~ neq(nil,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ segmentP(X6,sk3)
| ~ frontsegP(sk4,X6) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f401,f245]) ).
fof(f401,plain,
! [X6] :
( ~ neq(sk1,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ segmentP(X6,sk3)
| ~ frontsegP(sk4,X6) ),
inference(forward_demodulation,[],[f194,f191]) ).
fof(f194,axiom,
! [X6] :
( ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ neq(sk3,X6)
| ~ segmentP(X6,sk3)
| ~ frontsegP(sk4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f8316,plain,
( totalorderedP(sk2)
| sk2 = app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))) ),
inference(resolution,[],[f164,f187]) ).
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(f14027,plain,
( ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f14026,f27]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f14026,plain,
( ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ ssList(skaf68(sk2))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f14025,f28]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f14025,plain,
( ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ ssList(skaf67(sk2))
| ~ ssList(skaf68(sk2))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f14024,f29]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f14024,plain,
( ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ ssList(skaf66(sk2))
| ~ ssList(skaf67(sk2))
| ~ ssList(skaf68(sk2))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f14023,f30]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f14023,plain,
( ~ ssItem(skaf65(sk2))
| ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ ssList(skaf66(sk2))
| ~ ssList(skaf67(sk2))
| ~ ssList(skaf68(sk2))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f14022,f31]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f14022,plain,
( ~ ssItem(skaf64(sk2))
| ~ ssItem(skaf65(sk2))
| ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ ssList(skaf66(sk2))
| ~ ssList(skaf67(sk2))
| ~ ssList(skaf68(sk2))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f13964,f187]) ).
fof(f13964,plain,
( ~ ssList(sk2)
| ~ ssItem(skaf64(sk2))
| ~ ssItem(skaf65(sk2))
| ~ cyclefreeP(app(app(skaf66(sk2),cons(skaf64(sk2),skaf67(sk2))),cons(skaf65(sk2),skaf68(sk2))))
| ~ ssList(skaf66(sk2))
| ~ ssList(skaf67(sk2))
| ~ ssList(skaf68(sk2))
| ~ leq(skaf64(sk2),skaf65(sk2))
| ~ leq(skaf65(sk2),skaf64(sk2))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f220,f8320]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f13866,plain,
( ~ spl0_54
| ~ spl0_55
| ~ spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f13838,f1184,f1169,f13863,f13859]) ).
fof(f13859,plain,
( spl0_54
<=> leq(skaf70(sk2),skaf69(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f13863,plain,
( spl0_55
<=> leq(skaf69(sk2),skaf70(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1184,plain,
( spl0_14
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f13838,plain,
( ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| ~ spl0_12
| spl0_14 ),
inference(subsumption_resolution,[],[f13837,f1171]) ).
fof(f13837,plain,
( ~ cyclefreeP(sk2)
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(forward_demodulation,[],[f13836,f8115]) ).
fof(f8115,plain,
( sk2 = app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2)))
| spl0_14 ),
inference(subsumption_resolution,[],[f8111,f1186]) ).
fof(f1186,plain,
( ~ strictorderedP(sk2)
| spl0_14 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f8111,plain,
( strictorderedP(sk2)
| sk2 = app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))) ),
inference(resolution,[],[f163,f187]) ).
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(f13836,plain,
( ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(subsumption_resolution,[],[f13835,f22]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f13835,plain,
( ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ ssList(skaf73(sk2))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(subsumption_resolution,[],[f13834,f23]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f13834,plain,
( ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ ssList(skaf72(sk2))
| ~ ssList(skaf73(sk2))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(subsumption_resolution,[],[f13833,f24]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f13833,plain,
( ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ ssList(skaf71(sk2))
| ~ ssList(skaf72(sk2))
| ~ ssList(skaf73(sk2))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(subsumption_resolution,[],[f13832,f25]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f13832,plain,
( ~ ssItem(skaf70(sk2))
| ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ ssList(skaf71(sk2))
| ~ ssList(skaf72(sk2))
| ~ ssList(skaf73(sk2))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(subsumption_resolution,[],[f13831,f26]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f13831,plain,
( ~ ssItem(skaf69(sk2))
| ~ ssItem(skaf70(sk2))
| ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ ssList(skaf71(sk2))
| ~ ssList(skaf72(sk2))
| ~ ssList(skaf73(sk2))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(subsumption_resolution,[],[f13774,f187]) ).
fof(f13774,plain,
( ~ ssList(sk2)
| ~ ssItem(skaf69(sk2))
| ~ ssItem(skaf70(sk2))
| ~ cyclefreeP(app(app(skaf71(sk2),cons(skaf69(sk2),skaf72(sk2))),cons(skaf70(sk2),skaf73(sk2))))
| ~ ssList(skaf71(sk2))
| ~ ssList(skaf72(sk2))
| ~ ssList(skaf73(sk2))
| ~ leq(skaf69(sk2),skaf70(sk2))
| ~ leq(skaf70(sk2),skaf69(sk2))
| spl0_14 ),
inference(superposition,[],[f220,f8115]) ).
fof(f13764,plain,
( ~ spl0_52
| spl0_53
| spl0_1
| ~ spl0_44
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f13407,f11746,f11742,f239,f13761,f13757]) ).
fof(f13757,plain,
( spl0_52
<=> totalorderedP(cons(skac2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f13761,plain,
( spl0_53
<=> totalorderedP(cons(skac2,cons(skac2,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f13407,plain,
( totalorderedP(cons(skac2,cons(skac2,sk2)))
| ~ totalorderedP(cons(skac2,sk2))
| spl0_1
| ~ spl0_44
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f13406,f11748]) ).
fof(f13406,plain,
( totalorderedP(cons(skac2,cons(skac2,sk2)))
| ~ totalorderedP(cons(skac2,sk2))
| ~ ssList(cons(skac2,sk2))
| spl0_1
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f13181,f12075]) ).
fof(f12075,plain,
( nil != cons(skac2,sk2)
| spl0_1
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f11725,f11743]) ).
fof(f11725,plain,
( nil != cons(skac2,sk2)
| ~ ssList(cons(skac2,nil))
| spl0_1 ),
inference(subsumption_resolution,[],[f11724,f187]) ).
fof(f11724,plain,
( nil != cons(skac2,sk2)
| ~ ssList(cons(skac2,nil))
| ~ ssList(sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f11707,f240]) ).
fof(f11707,plain,
( nil != cons(skac2,sk2)
| ~ ssList(cons(skac2,nil))
| nil = sk2
| ~ ssList(sk2) ),
inference(superposition,[],[f119,f11658]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f13181,plain,
( totalorderedP(cons(skac2,cons(skac2,sk2)))
| nil = cons(skac2,sk2)
| ~ totalorderedP(cons(skac2,sk2))
| ~ ssList(cons(skac2,sk2)) ),
inference(superposition,[],[f6132,f2586]) ).
fof(f2586,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f2095,f187]) ).
fof(f2095,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f6132,plain,
! [X0] :
( totalorderedP(cons(hd(X0),X0))
| nil = X0
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6131,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f6131,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0
| ~ totalorderedP(X0)
| totalorderedP(cons(hd(X0),X0)) ),
inference(duplicate_literal_removal,[],[f6002]) ).
fof(f6002,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0
| ~ totalorderedP(X0)
| totalorderedP(cons(hd(X0),X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f159,f62]) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
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(f13755,plain,
( ~ spl0_50
| spl0_51
| spl0_1
| ~ spl0_42
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f13400,f11463,f11459,f239,f13752,f13748]) ).
fof(f13748,plain,
( spl0_50
<=> totalorderedP(cons(skac3,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f13752,plain,
( spl0_51
<=> totalorderedP(cons(skac3,cons(skac3,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f13400,plain,
( totalorderedP(cons(skac3,cons(skac3,sk2)))
| ~ totalorderedP(cons(skac3,sk2))
| spl0_1
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f13399,f11465]) ).
fof(f13399,plain,
( totalorderedP(cons(skac3,cons(skac3,sk2)))
| ~ totalorderedP(cons(skac3,sk2))
| ~ ssList(cons(skac3,sk2))
| spl0_1
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f13145,f12064]) ).
fof(f12064,plain,
( nil != cons(skac3,sk2)
| spl0_1
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f11442,f11460]) ).
fof(f11442,plain,
( nil != cons(skac3,sk2)
| ~ ssList(cons(skac3,nil))
| spl0_1 ),
inference(subsumption_resolution,[],[f11441,f187]) ).
fof(f11441,plain,
( nil != cons(skac3,sk2)
| ~ ssList(cons(skac3,nil))
| ~ ssList(sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f11424,f240]) ).
fof(f11424,plain,
( nil != cons(skac3,sk2)
| ~ ssList(cons(skac3,nil))
| nil = sk2
| ~ ssList(sk2) ),
inference(superposition,[],[f119,f11413]) ).
fof(f13145,plain,
( totalorderedP(cons(skac3,cons(skac3,sk2)))
| nil = cons(skac3,sk2)
| ~ totalorderedP(cons(skac3,sk2))
| ~ ssList(cons(skac3,sk2)) ),
inference(superposition,[],[f6132,f2483]) ).
fof(f2483,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f2094,f187]) ).
fof(f2094,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f12562,plain,
( spl0_48
| ~ spl0_49
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12048,f243,f12559,f12555]) ).
fof(f12555,plain,
( spl0_48
<=> nil = skaf47(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f12559,plain,
( spl0_49
<=> totalorderedP(skaf47(sk2,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f12048,plain,
( ~ totalorderedP(skaf47(sk2,nil))
| nil = skaf47(sk2,nil)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f12044,f49]) ).
fof(f12044,plain,
( ~ totalorderedP(skaf47(sk2,nil))
| ~ ssList(skaf47(sk2,nil))
| nil = skaf47(sk2,nil)
| ~ spl0_2 ),
inference(resolution,[],[f12034,f992]) ).
fof(f992,plain,
( ! [X0] :
( ~ frontsegP(sk2,X0)
| ~ totalorderedP(X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f991,f8]) ).
fof(f991,plain,
( ! [X0] :
( ~ frontsegP(sk2,X0)
| ~ totalorderedP(X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f990,plain,
( ! [X0] :
( ~ frontsegP(sk2,X0)
| ~ totalorderedP(X0)
| ~ ssList(X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_2 ),
inference(resolution,[],[f977,f100]) ).
fof(f977,plain,
( ! [X6] :
( ~ neq(nil,X6)
| ~ frontsegP(sk2,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f976,f245]) ).
fof(f976,plain,
( ! [X6] :
( ~ frontsegP(sk2,X6)
| ~ neq(sk1,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f975,f56]) ).
fof(f975,plain,
( ! [X6] :
( ~ segmentP(X6,nil)
| ~ frontsegP(sk2,X6)
| ~ neq(sk1,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f943,f245]) ).
fof(f943,plain,
! [X6] :
( ~ frontsegP(sk2,X6)
| ~ segmentP(X6,sk1)
| ~ neq(sk1,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
inference(forward_demodulation,[],[f942,f190]) ).
fof(f942,plain,
! [X6] :
( ~ segmentP(X6,sk1)
| ~ neq(sk1,X6)
| ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ frontsegP(sk4,X6) ),
inference(forward_demodulation,[],[f401,f191]) ).
fof(f12063,plain,
( spl0_46
| spl0_47 ),
inference(avatar_split_clause,[],[f5572,f12060,f12056]) ).
fof(f12056,plain,
( spl0_46
<=> sk2 = app(skaf80(sk2),cons(skaf78(sk2),cons(skaf79(sk2),skaf81(sk2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f12060,plain,
( spl0_47
<=> equalelemsP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f5572,plain,
( equalelemsP(sk2)
| sk2 = app(skaf80(sk2),cons(skaf78(sk2),cons(skaf79(sk2),skaf81(sk2)))) ),
inference(resolution,[],[f142,f187]) ).
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(f11753,plain,
spl0_44,
inference(avatar_contradiction_clause,[],[f11752]) ).
fof(f11752,plain,
( $false
| spl0_44 ),
inference(subsumption_resolution,[],[f11751,f10]) ).
fof(f11751,plain,
( ~ ssItem(skac2)
| spl0_44 ),
inference(subsumption_resolution,[],[f11750,f8]) ).
fof(f11750,plain,
( ~ ssList(nil)
| ~ ssItem(skac2)
| spl0_44 ),
inference(resolution,[],[f11744,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f11744,plain,
( ~ ssList(cons(skac2,nil))
| spl0_44 ),
inference(avatar_component_clause,[],[f11742]) ).
fof(f11749,plain,
( ~ spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f11722,f11746,f11742]) ).
fof(f11722,plain,
( ssList(cons(skac2,sk2))
| ~ ssList(cons(skac2,nil)) ),
inference(subsumption_resolution,[],[f11705,f187]) ).
fof(f11705,plain,
( ssList(cons(skac2,sk2))
| ~ ssList(cons(skac2,nil))
| ~ ssList(sk2) ),
inference(superposition,[],[f85,f11658]) ).
fof(f11470,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f11469]) ).
fof(f11469,plain,
( $false
| spl0_42 ),
inference(subsumption_resolution,[],[f11468,f9]) ).
fof(f11468,plain,
( ~ ssItem(skac3)
| spl0_42 ),
inference(subsumption_resolution,[],[f11467,f8]) ).
fof(f11467,plain,
( ~ ssList(nil)
| ~ ssItem(skac3)
| spl0_42 ),
inference(resolution,[],[f11461,f86]) ).
fof(f11461,plain,
( ~ ssList(cons(skac3,nil))
| spl0_42 ),
inference(avatar_component_clause,[],[f11459]) ).
fof(f11466,plain,
( ~ spl0_42
| spl0_43 ),
inference(avatar_split_clause,[],[f11439,f11463,f11459]) ).
fof(f11439,plain,
( ssList(cons(skac3,sk2))
| ~ ssList(cons(skac3,nil)) ),
inference(subsumption_resolution,[],[f11422,f187]) ).
fof(f11422,plain,
( ssList(cons(skac3,sk2))
| ~ ssList(cons(skac3,nil))
| ~ ssList(sk2) ),
inference(superposition,[],[f85,f11413]) ).
fof(f8604,plain,
( ~ spl0_16
| ~ spl0_2
| spl0_40 ),
inference(avatar_split_clause,[],[f8498,f7098,f243,f1193]) ).
fof(f1193,plain,
( spl0_16
<=> skaf50(skaf82(sk2)) = skaf49(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f7098,plain,
( spl0_40
<=> skaf50(tl(sk2)) = skaf49(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f8498,plain,
( skaf50(skaf82(sk2)) != skaf49(skaf82(sk2))
| ~ spl0_2
| spl0_40 ),
inference(superposition,[],[f7099,f8462]) ).
fof(f8462,plain,
( tl(sk2) = skaf82(sk2)
| ~ spl0_2 ),
inference(superposition,[],[f4355,f967]) ).
fof(f967,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f923,f665,f326,f321,f290,f285,f943,f595,f963,f939,f964,f664,f965,f936,f966,f920]) ).
fof(f920,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f671,f190]) ).
fof(f671,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f667,f190]) ).
fof(f667,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f966,plain,
( nil = sk1
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f923,f665,f920,f326,f321,f290,f285,f943,f595,f963,f939,f964,f664,f965,f936]) ).
fof(f936,plain,
( sk1 = cons(skaf83(sk1),skaf82(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f670,f191]) ).
fof(f670,plain,
( nil = sk1
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(forward_demodulation,[],[f666,f191]) ).
fof(f666,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(resolution,[],[f109,f188]) ).
fof(f965,plain,
( nil = sk1
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f923,f665,f920,f936,f326,f321,f290,f285,f943,f595,f963,f939,f964,f664]) ).
fof(f664,plain,
( nil = sk1
| sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
inference(resolution,[],[f109,f186]) ).
fof(f964,plain,
( nil = sk1
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f923,f665,f920,f936,f664,f326,f321,f290,f285,f943,f595,f963,f939]) ).
fof(f939,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f601,f191]) ).
fof(f601,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f597,f191]) ).
fof(f597,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f963,plain,
( nil = sk1
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f923,f665,f920,f936,f664,f939,f326,f321,f290,f285,f943,f595]) ).
fof(f595,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f285,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f290,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f287,f191]) ).
fof(f287,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f321,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f326,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f323,f191]) ).
fof(f323,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f665,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f923,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f602,f190]) ).
fof(f602,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f598,f190]) ).
fof(f598,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f596,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f198,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f928,plain,
( nil != sk2
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f198,f245]) ).
fof(f927,plain,
( ~ totalorderedP(sk2)
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f198,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f920,f921,f665,f922,f923,f924,f596,f925,f926]) ).
fof(f926,plain,
( nil = sk2
| ~ totalorderedP(sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f511,f187]) ).
fof(f925,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f198,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f920,f921,f665,f922,f923,f924,f596]) ).
fof(f924,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f198,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f920,f921,f665,f922,f923]) ).
fof(f922,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f198,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f920,f921,f665]) ).
fof(f921,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f198,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f920]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f662,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f661,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f109,f85]) ).
fof(f659,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f658,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f657,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f656,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f655,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f654,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f653,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f652,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f651,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f650,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f649,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f648,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f647,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f646,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f645,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f644,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f643,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f642,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f641,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f640,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f639,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f638,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f637,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f636,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f635,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f634,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f633,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
inference(resolution,[],[f109,f13]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f594,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f593,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(f591,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f590,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f589,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f588,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f587,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f586,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f585,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f584,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f583,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f582,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f581,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f580,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f579,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f578,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f577,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f576,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f575,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f574,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f573,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f572,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f571,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f570,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f569,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f568,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f567,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f566,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f565,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f320,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f319,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f318,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f317,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f316,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f315,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f284,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f283,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f282,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f281,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f279,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(f347,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f346,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f314,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f313,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f312,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f311,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f310,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f309,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f308,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f307,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f306,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f305,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f304,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f303,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f302,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f301,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f300,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f299,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f298,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f297,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f296,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f295,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f294,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f278,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f277,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f276,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f275,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f274,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f273,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f272,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f271,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f270,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f269,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f268,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f267,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f266,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f330,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f329,plain,
! [X0] :
( ~ ssList(X0)
| nil = 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(f265,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f264,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f263,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f262,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f261,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f260,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f259,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f258,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f322,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f328,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f324,f190]) ).
fof(f324,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f286,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f292,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f288,f190]) ).
fof(f288,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
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(f232,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f193,f189,f188,f187,f186,f190,f191,f192,f198,f195,f194,f11,f1,f2,f5,f6,f7,f3,f4,f9,f10,f8,f54,f47,f12,f16,f21,f17,f25,f26,f30,f31,f46,f41,f40,f35,f36,f45,f39,f42,f43,f44,f38,f37,f28,f29,f32,f27,f24,f33,f34,f23,f13,f14,f15,f18,f19,f20,f22,f51,f52,f49,f53,f50,f48,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f163,f91,f164,f199,f227,f200,f228,f201,f229,f82,f80,f84,f78,f76,f75,f77,f109,f104,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f100,f119,f118,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224]) ).
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(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(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f247,plain,
( frontsegP(sk2,nil)
| ~ spl0_2 ),
inference(superposition,[],[f237,f245]) ).
fof(f195,axiom,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
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(f229,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f193,f189,f188,f187,f186,f190,f191,f192,f198,f195,f194,f11,f1,f2,f5,f6,f7,f3,f4,f9,f10,f8,f54,f47,f12,f16,f21,f17,f25,f26,f30,f31,f46,f41,f40,f35,f36,f45,f39,f42,f43,f44,f38,f37,f28,f29,f32,f27,f24,f33,f34,f23,f13,f14,f15,f18,f19,f20,f22,f51,f52,f49,f53,f50,f48,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f163,f91,f164,f199,f227,f200,f228,f201]) ).
fof(f228,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f193,f189,f188,f187,f186,f190,f191,f192,f198,f195,f194,f11,f1,f2,f5,f6,f7,f3,f4,f9,f10,f8,f54,f47,f12,f16,f21,f17,f25,f26,f30,f31,f46,f41,f40,f35,f36,f45,f39,f42,f43,f44,f38,f37,f28,f29,f32,f27,f24,f33,f34,f23,f13,f14,f15,f18,f19,f20,f22,f51,f52,f49,f53,f50,f48,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f163,f91,f164,f199,f227,f200]) ).
fof(f227,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f193,f189,f188,f187,f186,f190,f191,f192,f198,f195,f194,f11,f1,f2,f5,f6,f7,f3,f4,f9,f10,f8,f54,f47,f12,f16,f21,f17,f25,f26,f30,f31,f46,f41,f40,f35,f36,f45,f39,f42,f43,f44,f38,f37,f28,f29,f32,f27,f24,f33,f34,f23,f13,f14,f15,f18,f19,f20,f22,f51,f52,f49,f53,f50,f48,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f163,f91,f164,f199]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(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(f237,plain,
frontsegP(sk2,sk1),
inference(forward_demodulation,[],[f236,f190]) ).
fof(f236,plain,
frontsegP(sk4,sk1),
inference(forward_demodulation,[],[f192,f191]) ).
fof(f234,plain,
totalorderedP(sk1),
inference(superposition,[],[f193,f191]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
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(f193,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
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(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( hd(X0) != hd(X1)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f223,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f214,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f213,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f160,axiom,
! [X0,X1] :
( ~ lt(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(X1)
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f224,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(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(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(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(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(f225,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f231,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f193,f189,f188,f187,f186,f190,f191,f192,f198,f195,f194,f11,f1,f2,f5,f6,f7,f3,f4,f9,f10,f8,f54,f47,f12,f16,f21,f17,f25,f26,f30,f31,f46,f41,f40,f35,f36,f45,f39,f42,f43,f44,f38,f37,f28,f29,f32,f27,f24,f33,f34,f23,f13,f14,f15,f18,f19,f20,f22,f51,f52,f49,f53,f50,f48,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f163,f91,f164,f199,f227,f200,f228,f201,f229,f82,f80,f84,f78,f76,f75,f77,f109,f104,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206]) ).
fof(f206,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(f230,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f193,f189,f188,f187,f186,f190,f191,f192,f198,f195,f194,f11,f1,f2,f5,f6,f7,f3,f4,f9,f10,f8,f54,f47,f12,f16,f21,f17,f25,f26,f30,f31,f46,f41,f40,f35,f36,f45,f39,f42,f43,f44,f38,f37,f28,f29,f32,f27,f24,f33,f34,f23,f13,f14,f15,f18,f19,f20,f22,f51,f52,f49,f53,f50,f48,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f60,f59,f58,f57,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f163,f91,f164,f199,f227,f200,f228,f201,f229,f82,f80,f84,f78,f76,f75,f77,f109,f104,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205]) ).
fof(f205,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(f204,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f226,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f201,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f200,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f199,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f192,axiom,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f4355,plain,
! [X0,X1] : skaf82(X1) = tl(cons(skaf83(X0),skaf82(X1))),
inference(resolution,[],[f2032,f13]) ).
fof(f2032,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f7099,plain,
( skaf50(tl(sk2)) != skaf49(tl(sk2))
| spl0_40 ),
inference(avatar_component_clause,[],[f7098]) ).
fof(f8510,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f8499,f7102,f243,f1189]) ).
fof(f1189,plain,
( spl0_15
<=> cyclefreeP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f7102,plain,
( spl0_41
<=> cyclefreeP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f8499,plain,
( cyclefreeP(skaf82(sk2))
| ~ spl0_2
| ~ spl0_41 ),
inference(superposition,[],[f7104,f8462]) ).
fof(f7104,plain,
( cyclefreeP(tl(sk2))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f7102]) ).
fof(f8509,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8508]) ).
fof(f8508,plain,
( $false
| ~ spl0_2
| spl0_15
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f8499,f1190]) ).
fof(f1190,plain,
( ~ cyclefreeP(skaf82(sk2))
| spl0_15 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f8507,plain,
( ~ spl0_2
| ~ spl0_16
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f8506]) ).
fof(f8506,plain,
( $false
| ~ spl0_2
| ~ spl0_16
| spl0_40 ),
inference(subsumption_resolution,[],[f8498,f1195]) ).
fof(f1195,plain,
( skaf50(skaf82(sk2)) = skaf49(skaf82(sk2))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f7105,plain,
( spl0_40
| spl0_41
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f7087,f612,f7102,f7098]) ).
fof(f612,plain,
( spl0_5
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f7087,plain,
( cyclefreeP(tl(sk2))
| skaf50(tl(sk2)) = skaf49(tl(sk2))
| ~ spl0_5 ),
inference(resolution,[],[f2668,f613]) ).
fof(f613,plain,
( ssList(tl(sk2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f2668,plain,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| skaf50(X0) = skaf49(X0) ),
inference(subsumption_resolution,[],[f2667,f88]) ).
fof(f2667,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2666,f45]) ).
fof(f2666,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2660,f46]) ).
fof(f2660,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f5491,plain,
( ~ spl0_32
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f5490]) ).
fof(f5490,plain,
( $false
| ~ spl0_32
| spl0_33 ),
inference(subsumption_resolution,[],[f5474,f4]) ).
fof(f5474,plain,
( ~ totalorderedP(nil)
| ~ spl0_32
| spl0_33 ),
inference(superposition,[],[f3041,f3037]) ).
fof(f3037,plain,
( nil = skaf46(sk2,sk2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f3035,plain,
( spl0_32
<=> nil = skaf46(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f3041,plain,
( ~ totalorderedP(skaf46(sk2,sk2))
| spl0_33 ),
inference(avatar_component_clause,[],[f3039]) ).
fof(f3039,plain,
( spl0_33
<=> totalorderedP(skaf46(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f5470,plain,
( spl0_32
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5467,f243,f3035]) ).
fof(f5467,plain,
( nil = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f5466,f50]) ).
fof(f5466,plain,
( ~ ssList(skaf46(sk2,sk2))
| nil = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f5465]) ).
fof(f5465,plain,
( sk2 != sk2
| ~ ssList(skaf46(sk2,sk2))
| nil = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(superposition,[],[f5257,f2857]) ).
fof(f2857,plain,
( sk2 = app(skaf46(sk2,sk2),sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2856,f187]) ).
fof(f2856,plain,
( ~ ssList(sk2)
| sk2 = app(skaf46(sk2,sk2),sk2)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f2853]) ).
fof(f2853,plain,
( ~ ssList(sk2)
| ~ ssList(sk2)
| sk2 = app(skaf46(sk2,sk2),sk2)
| ~ spl0_2 ),
inference(resolution,[],[f2852,f131]) ).
fof(f2852,plain,
( rearsegP(sk2,sk2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2845,f2836]) ).
fof(f2836,plain,
( sk2 = skaf45(sk2,nil)
| ~ spl0_2 ),
inference(superposition,[],[f2833,f318]) ).
fof(f2833,plain,
( sk2 = app(nil,skaf45(sk2,nil))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2832,f245]) ).
fof(f2832,plain,
sk2 = app(sk1,skaf45(sk2,sk1)),
inference(subsumption_resolution,[],[f2831,f186]) ).
fof(f2831,plain,
( ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1)) ),
inference(subsumption_resolution,[],[f2821,f187]) ).
fof(f2821,plain,
( ~ ssList(sk2)
| ~ ssList(sk1)
| sk2 = app(sk1,skaf45(sk2,sk1)) ),
inference(resolution,[],[f132,f237]) ).
fof(f2845,plain,
( rearsegP(sk2,skaf45(sk2,nil))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2844,f8]) ).
fof(f2844,plain,
( rearsegP(sk2,skaf45(sk2,nil))
| ~ ssList(nil)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2840,f51]) ).
fof(f2840,plain,
( rearsegP(sk2,skaf45(sk2,nil))
| ~ ssList(skaf45(sk2,nil))
| ~ ssList(nil)
| ~ spl0_2 ),
inference(superposition,[],[f1470,f2833]) ).
fof(f5257,plain,
( ! [X0] :
( sk2 != app(X0,sk2)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5256,f2836]) ).
fof(f5256,plain,
( ! [X0] :
( sk2 != app(X0,skaf45(sk2,nil))
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f5255,f8]) ).
fof(f5255,plain,
( ! [X0] :
( sk2 != app(X0,skaf45(sk2,nil))
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f5049,f51]) ).
fof(f5049,plain,
( ! [X0] :
( sk2 != app(X0,skaf45(sk2,nil))
| ~ ssList(X0)
| ~ ssList(skaf45(sk2,nil))
| nil = X0
| ~ ssList(nil) )
| ~ spl0_2 ),
inference(superposition,[],[f151,f2833]) ).
fof(f5469,plain,
( ~ spl0_2
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f5468]) ).
fof(f5468,plain,
( $false
| ~ spl0_2
| spl0_32 ),
inference(subsumption_resolution,[],[f5467,f3036]) ).
fof(f3036,plain,
( nil != skaf46(sk2,sk2)
| spl0_32 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f4311,plain,
( spl0_38
| ~ spl0_39
| ~ spl0_2
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f3212,f1595,f243,f4308,f4304]) ).
fof(f4304,plain,
( spl0_38
<=> nil = skaf46(sk2,skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f4308,plain,
( spl0_39
<=> totalorderedP(skaf46(sk2,skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1595,plain,
( spl0_23
<=> rearsegP(sk2,skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f3212,plain,
( ~ totalorderedP(skaf46(sk2,skaf82(sk2)))
| nil = skaf46(sk2,skaf82(sk2))
| ~ spl0_2
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3209,f50]) ).
fof(f3209,plain,
( ~ totalorderedP(skaf46(sk2,skaf82(sk2)))
| ~ ssList(skaf46(sk2,skaf82(sk2)))
| nil = skaf46(sk2,skaf82(sk2))
| ~ spl0_2
| ~ spl0_23 ),
inference(resolution,[],[f3208,f992]) ).
fof(f3208,plain,
( frontsegP(sk2,skaf46(sk2,skaf82(sk2)))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3207,f13]) ).
fof(f3207,plain,
( frontsegP(sk2,skaf46(sk2,skaf82(sk2)))
| ~ ssList(skaf82(sk2))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3201,f50]) ).
fof(f3201,plain,
( frontsegP(sk2,skaf46(sk2,skaf82(sk2)))
| ~ ssList(skaf46(sk2,skaf82(sk2)))
| ~ ssList(skaf82(sk2))
| ~ spl0_23 ),
inference(superposition,[],[f1619,f2805]) ).
fof(f2805,plain,
( sk2 = app(skaf46(sk2,skaf82(sk2)),skaf82(sk2))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f2804,f13]) ).
fof(f2804,plain,
( ~ ssList(skaf82(sk2))
| sk2 = app(skaf46(sk2,skaf82(sk2)),skaf82(sk2))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f2795,f187]) ).
fof(f2795,plain,
( ~ ssList(sk2)
| ~ ssList(skaf82(sk2))
| sk2 = app(skaf46(sk2,skaf82(sk2)),skaf82(sk2))
| ~ spl0_23 ),
inference(resolution,[],[f131,f1597]) ).
fof(f1597,plain,
( rearsegP(sk2,skaf82(sk2))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f3883,plain,
( spl0_36
| ~ spl0_37
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f3280,f1595,f3880,f3876]) ).
fof(f3876,plain,
( spl0_36
<=> sk2 = skaf45(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f3880,plain,
( spl0_37
<=> rearsegP(skaf45(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f3280,plain,
( ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3279,f187]) ).
fof(f3279,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3276,f51]) ).
fof(f3276,plain,
( ~ ssList(skaf45(sk2,sk2))
| ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2)
| ~ spl0_23 ),
inference(resolution,[],[f3274,f128]) ).
fof(f3274,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3273,f187]) ).
fof(f3273,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ ssList(sk2)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3268,f51]) ).
fof(f3268,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ ssList(skaf45(sk2,sk2))
| ~ ssList(sk2)
| ~ spl0_23 ),
inference(superposition,[],[f1470,f3262]) ).
fof(f3262,plain,
( sk2 = app(sk2,skaf45(sk2,sk2))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3261,f187]) ).
fof(f3261,plain,
( ~ ssList(sk2)
| sk2 = app(sk2,skaf45(sk2,sk2))
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f3258]) ).
fof(f3258,plain,
( ~ ssList(sk2)
| ~ ssList(sk2)
| sk2 = app(sk2,skaf45(sk2,sk2))
| ~ spl0_23 ),
inference(resolution,[],[f3256,f132]) ).
fof(f3256,plain,
( frontsegP(sk2,sk2)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f3239,f3226]) ).
fof(f3226,plain,
( sk2 = skaf46(sk2,nil)
| ~ spl0_23 ),
inference(superposition,[],[f3225,f281]) ).
fof(f3225,plain,
( sk2 = app(skaf46(sk2,nil),nil)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3224,f8]) ).
fof(f3224,plain,
( ~ ssList(nil)
| sk2 = app(skaf46(sk2,nil),nil)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3222,f187]) ).
fof(f3222,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| sk2 = app(skaf46(sk2,nil),nil)
| ~ spl0_23 ),
inference(resolution,[],[f3221,f131]) ).
fof(f3221,plain,
( rearsegP(sk2,nil)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3220,f13]) ).
fof(f3220,plain,
( rearsegP(sk2,nil)
| ~ ssList(skaf82(sk2))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3218,f8]) ).
fof(f3218,plain,
( ~ ssList(nil)
| rearsegP(sk2,nil)
| ~ ssList(skaf82(sk2))
| ~ spl0_23 ),
inference(resolution,[],[f3204,f58]) ).
fof(f3204,plain,
( ! [X0] :
( ~ rearsegP(skaf82(sk2),X0)
| ~ ssList(X0)
| rearsegP(sk2,X0) )
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3203,f50]) ).
fof(f3203,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf82(sk2),X0)
| ~ ssList(skaf46(sk2,skaf82(sk2))) )
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3198,f13]) ).
fof(f3198,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(skaf82(sk2))
| ~ ssList(X0)
| ~ rearsegP(skaf82(sk2),X0)
| ~ ssList(skaf46(sk2,skaf82(sk2))) )
| ~ spl0_23 ),
inference(superposition,[],[f136,f2805]) ).
fof(f3239,plain,
( frontsegP(sk2,skaf46(sk2,nil))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3238,f8]) ).
fof(f3238,plain,
( frontsegP(sk2,skaf46(sk2,nil))
| ~ ssList(nil)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3234,f50]) ).
fof(f3234,plain,
( frontsegP(sk2,skaf46(sk2,nil))
| ~ ssList(skaf46(sk2,nil))
| ~ ssList(nil)
| ~ spl0_23 ),
inference(superposition,[],[f1619,f3225]) ).
fof(f3857,plain,
( spl0_34
| ~ spl0_35
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2873,f243,f3854,f3850]) ).
fof(f3850,plain,
( spl0_34
<=> sk2 = skaf46(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3854,plain,
( spl0_35
<=> frontsegP(skaf46(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2873,plain,
( ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2872,f187]) ).
fof(f2872,plain,
( ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2868,f50]) ).
fof(f2868,plain,
( ~ ssList(skaf46(sk2,sk2))
| ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(resolution,[],[f2865,f129]) ).
fof(f2865,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2864,f187]) ).
fof(f2864,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ ssList(sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2859,f50]) ).
fof(f2859,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ ssList(skaf46(sk2,sk2))
| ~ ssList(sk2)
| ~ spl0_2 ),
inference(superposition,[],[f1619,f2857]) ).
fof(f3042,plain,
( spl0_32
| ~ spl0_33
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2869,f243,f3039,f3035]) ).
fof(f2869,plain,
( ~ totalorderedP(skaf46(sk2,sk2))
| nil = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f2866,f50]) ).
fof(f2866,plain,
( ~ totalorderedP(skaf46(sk2,sk2))
| ~ ssList(skaf46(sk2,sk2))
| nil = skaf46(sk2,sk2)
| ~ spl0_2 ),
inference(resolution,[],[f2865,f992]) ).
fof(f2029,plain,
( spl0_7
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2028,plain,
( $false
| spl0_7
| spl0_30 ),
inference(subsumption_resolution,[],[f2027,f13]) ).
fof(f2027,plain,
( ~ ssList(skaf82(sk2))
| spl0_7
| spl0_30 ),
inference(subsumption_resolution,[],[f2026,f913]) ).
fof(f913,plain,
( nil != skaf82(sk2)
| spl0_7 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl0_7
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2026,plain,
( nil = skaf82(sk2)
| ~ ssList(skaf82(sk2))
| spl0_30 ),
inference(resolution,[],[f2020,f76]) ).
fof(f2020,plain,
( ~ ssItem(hd(skaf82(sk2)))
| spl0_30 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2018,plain,
( spl0_30
<=> ssItem(hd(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2025,plain,
( ~ spl0_30
| ~ spl0_31
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1997,f1073,f916,f2022,f2018]) ).
fof(f2022,plain,
( spl0_31
<=> skaf82(sk2) = tl(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f916,plain,
( spl0_8
<=> skaf82(sk2) = cons(hd(skaf82(sk2)),tl(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1073,plain,
( spl0_9
<=> ssList(tl(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1997,plain,
( skaf82(sk2) != tl(skaf82(sk2))
| ~ ssItem(hd(skaf82(sk2)))
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1995,f1074]) ).
fof(f1074,plain,
( ssList(tl(skaf82(sk2)))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1995,plain,
( skaf82(sk2) != tl(skaf82(sk2))
| ~ ssList(tl(skaf82(sk2)))
| ~ ssItem(hd(skaf82(sk2)))
| ~ spl0_8 ),
inference(superposition,[],[f99,f918]) ).
fof(f918,plain,
( skaf82(sk2) = cons(hd(skaf82(sk2)),tl(skaf82(sk2)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f2016,plain,
( spl0_1
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2015,plain,
( $false
| spl0_1
| spl0_28 ),
inference(subsumption_resolution,[],[f2014,f187]) ).
fof(f2014,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_28 ),
inference(subsumption_resolution,[],[f2013,f240]) ).
fof(f2013,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_28 ),
inference(resolution,[],[f2002,f76]) ).
fof(f2002,plain,
( ~ ssItem(hd(sk2))
| spl0_28 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2000,plain,
( spl0_28
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2007,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1998,f612,f243,f2004,f2000]) ).
fof(f2004,plain,
( spl0_29
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1998,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1996,f613]) ).
fof(f1996,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_2 ),
inference(superposition,[],[f99,f969]) ).
fof(f969,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f326,f321,f290,f285,f943,f595,f963,f939,f964,f664,f965,f936,f966,f920,f967,f665,f968,f923]) ).
fof(f968,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f921,f922,f924,f925,f926,f927,f928,f198,f596,f923,f326,f321,f290,f285,f943,f595,f963,f939,f964,f664,f965,f936,f966,f920,f967,f665]) ).
fof(f1910,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f1909]) ).
fof(f1909,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1908,f12]) ).
fof(f1908,plain,
( ~ ssItem(skaf83(sk2))
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1907,f8]) ).
fof(f1907,plain,
( ~ ssList(nil)
| ~ ssItem(skaf83(sk2))
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1904]) ).
fof(f1904,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(skaf83(sk2))
| ~ spl0_24 ),
inference(superposition,[],[f98,f1748]) ).
fof(f1748,plain,
( nil = cons(skaf83(sk2),nil)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1746,plain,
( spl0_24
<=> nil = cons(skaf83(sk2),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1902,plain,
( spl0_26
| ~ spl0_27
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1604,f1595,f1899,f1895]) ).
fof(f1895,plain,
( spl0_26
<=> sk2 = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1899,plain,
( spl0_27
<=> rearsegP(skaf82(sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1604,plain,
( ~ rearsegP(skaf82(sk2),sk2)
| sk2 = skaf82(sk2)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f1603,f187]) ).
fof(f1603,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf82(sk2),sk2)
| sk2 = skaf82(sk2)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f1602,f13]) ).
fof(f1602,plain,
( ~ ssList(skaf82(sk2))
| ~ ssList(sk2)
| ~ rearsegP(skaf82(sk2),sk2)
| sk2 = skaf82(sk2)
| ~ spl0_23 ),
inference(resolution,[],[f1597,f128]) ).
fof(f1840,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1839,plain,
( $false
| ~ spl0_3
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1804,f8]) ).
fof(f1804,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1802]) ).
fof(f1802,plain,
( nil != nil
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f397,f1748]) ).
fof(f397,plain,
( ! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f98,f252]) ).
fof(f252,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1838,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1837,plain,
( $false
| ~ spl0_3
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1805,f8]) ).
fof(f1805,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1801]) ).
fof(f1801,plain,
( nil != nil
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f398,f1748]) ).
fof(f398,plain,
( ! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f99,f252]) ).
fof(f1831,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1830,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1829,f1035]) ).
fof(f1035,plain,
( sk2 != skaf82(sk2)
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1031,f13]) ).
fof(f1031,plain,
( sk2 != skaf82(sk2)
| ~ ssList(skaf82(sk2))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f398,f967]) ).
fof(f1829,plain,
( sk2 = skaf82(sk2)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1828,f967]) ).
fof(f1828,plain,
( skaf82(sk2) = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1793,f294]) ).
fof(f1793,plain,
( cons(skaf83(sk2),skaf82(sk2)) = app(nil,skaf82(sk2))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24 ),
inference(superposition,[],[f1102,f1748]) ).
fof(f1102,plain,
( ! [X0] : cons(X0,skaf82(sk2)) = app(cons(X0,nil),skaf82(sk2))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f892,f1029]) ).
fof(f1029,plain,
( tl(sk2) = skaf82(sk2)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f419,f967]) ).
fof(f419,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_3 ),
inference(resolution,[],[f417,f13]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f96,f252]) ).
fof(f892,plain,
( ! [X0] : cons(X0,tl(sk2)) = app(cons(X0,nil),tl(sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f856,f613]) ).
fof(f856,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f120,f252]) ).
fof(f1808,plain,
( ~ spl0_3
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f1807,plain,
( $false
| ~ spl0_3
| ~ spl0_22
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1806,f1592]) ).
fof(f1592,plain,
( ssList(cons(skaf83(sk2),nil))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1591,plain,
( spl0_22
<=> ssList(cons(skaf83(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1806,plain,
( ~ ssList(cons(skaf83(sk2),nil))
| ~ spl0_3
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1770,f11]) ).
fof(f1770,plain,
( singletonP(nil)
| ~ ssList(cons(skaf83(sk2),nil))
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f556,f1748]) ).
fof(f556,plain,
( ! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil)) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f204,f252]) ).
fof(f1756,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f1755]) ).
fof(f1755,plain,
( $false
| spl0_25 ),
inference(subsumption_resolution,[],[f1754,f12]) ).
fof(f1754,plain,
( ~ ssItem(skaf83(sk2))
| spl0_25 ),
inference(resolution,[],[f1752,f67]) ).
fof(f1752,plain,
( ~ totalorderedP(cons(skaf83(sk2),nil))
| spl0_25 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1750,plain,
( spl0_25
<=> totalorderedP(cons(skaf83(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1753,plain,
( spl0_24
| ~ spl0_25
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1742,f1591,f612,f251,f243,f1750,f1746]) ).
fof(f1742,plain,
( ~ totalorderedP(cons(skaf83(sk2),nil))
| nil = cons(skaf83(sk2),nil)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f1740,f1592]) ).
fof(f1740,plain,
( ~ totalorderedP(cons(skaf83(sk2),nil))
| ~ ssList(cons(skaf83(sk2),nil))
| nil = cons(skaf83(sk2),nil)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_22 ),
inference(resolution,[],[f1739,f989]) ).
fof(f989,plain,
( ! [X0] :
( ~ frontsegP(sk2,X0)
| ~ totalorderedP(X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f977,f519]) ).
fof(f519,plain,
( ! [X0,X1] :
( neq(X1,X0)
| X0 = X1 )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f518,f252]) ).
fof(f518,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f102,f252]) ).
fof(f1739,plain,
( frontsegP(sk2,cons(skaf83(sk2),nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f1737,f1592]) ).
fof(f1737,plain,
( frontsegP(sk2,cons(skaf83(sk2),nil))
| ~ ssList(cons(skaf83(sk2),nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1713,f967]) ).
fof(f1713,plain,
( ! [X0] :
( frontsegP(cons(X0,skaf82(sk2)),cons(X0,nil))
| ~ ssList(cons(X0,nil)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1657,f13]) ).
fof(f1657,plain,
( ! [X0] :
( frontsegP(cons(X0,skaf82(sk2)),cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssList(skaf82(sk2)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1619,f1102]) ).
fof(f1601,plain,
( ~ spl0_3
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1600,plain,
( $false
| ~ spl0_3
| spl0_22 ),
inference(subsumption_resolution,[],[f1599,f8]) ).
fof(f1599,plain,
( ~ ssList(nil)
| ~ spl0_3
| spl0_22 ),
inference(resolution,[],[f1593,f394]) ).
fof(f394,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f86,f252]) ).
fof(f1593,plain,
( ~ ssList(cons(skaf83(sk2),nil))
| spl0_22 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1598,plain,
( ~ spl0_22
| spl0_23
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1588,f612,f251,f243,f1595,f1591]) ).
fof(f1588,plain,
( rearsegP(sk2,skaf82(sk2))
| ~ ssList(cons(skaf83(sk2),nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1564,f967]) ).
fof(f1564,plain,
( ! [X0] :
( rearsegP(cons(X0,skaf82(sk2)),skaf82(sk2))
| ~ ssList(cons(X0,nil)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1508,f13]) ).
fof(f1508,plain,
( ! [X0] :
( rearsegP(cons(X0,skaf82(sk2)),skaf82(sk2))
| ~ ssList(skaf82(sk2))
| ~ ssList(cons(X0,nil)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1470,f1102]) ).
fof(f1247,plain,
( spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1234,f1073,f916,f251,f1244,f1240,f1236]) ).
fof(f1236,plain,
( spl0_19
<=> nil = tl(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1240,plain,
( spl0_20
<=> totalorderedP(tl(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1244,plain,
( spl0_21
<=> totalorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1234,plain,
( ~ totalorderedP(skaf82(sk2))
| totalorderedP(tl(skaf82(sk2)))
| nil = tl(skaf82(sk2))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1233,f1074]) ).
fof(f1233,plain,
( ~ totalorderedP(skaf82(sk2))
| totalorderedP(tl(skaf82(sk2)))
| nil = tl(skaf82(sk2))
| ~ ssList(tl(skaf82(sk2)))
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f1213,f918]) ).
fof(f1213,plain,
( ! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| totalorderedP(X1)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f125,f252]) ).
fof(f1229,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1152,f1073,f251,f1226,f1222]) ).
fof(f1222,plain,
( spl0_17
<=> skaf50(tl(skaf82(sk2))) = skaf49(tl(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1226,plain,
( spl0_18
<=> cyclefreeP(tl(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1152,plain,
( cyclefreeP(tl(skaf82(sk2)))
| skaf50(tl(skaf82(sk2))) = skaf49(tl(skaf82(sk2)))
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f1112,f1074]) ).
fof(f1112,plain,
( ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| skaf50(X0) = skaf49(X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1110,f88]) ).
fof(f1110,plain,
( ! [X0] :
( skaf50(X0) = skaf49(X0)
| ~ leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f1107,f87]) ).
fof(f1107,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f1106]) ).
fof(f1106,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| X0 = X1
| ~ leq(X1,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f1048,f1026]) ).
fof(f1026,plain,
( ! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1025,f252]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f121,f252]) ).
fof(f1048,plain,
( ! [X0,X1] :
( ~ lt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
| ~ spl0_3 ),
inference(resolution,[],[f1026,f555]) ).
fof(f555,plain,
( ! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f554,f539]) ).
fof(f539,plain,
( ! [X0,X1] :
( gt(X1,X0)
| ~ lt(X0,X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f538,f252]) ).
fof(f538,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f106,f252]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ gt(X0,X1)
| ~ lt(X0,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f553,f539]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f552,f252]) ).
fof(f552,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f110,f252]) ).
fof(f1196,plain,
( spl0_15
| spl0_16
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1158,f612,f251,f243,f1193,f1189]) ).
fof(f1158,plain,
( skaf50(skaf82(sk2)) = skaf49(skaf82(sk2))
| cyclefreeP(skaf82(sk2))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1157,f1029]) ).
fof(f1157,plain,
( cyclefreeP(skaf82(sk2))
| skaf50(tl(sk2)) = skaf49(tl(sk2))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1151,f1029]) ).
fof(f1151,plain,
( cyclefreeP(tl(sk2))
| skaf50(tl(sk2)) = skaf49(tl(sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1112,f613]) ).
fof(f1187,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f1177,f912,f251,f243,f1184,f1180]) ).
fof(f1180,plain,
( spl0_13
<=> strictorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1177,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f1176,f13]) ).
fof(f1176,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| ~ ssList(skaf82(sk2))
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f1174,f913]) ).
fof(f1174,plain,
( ~ strictorderedP(sk2)
| strictorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssList(skaf82(sk2))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f1101,f967]) ).
fof(f1101,plain,
( ! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| strictorderedP(X1)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f124,f252]) ).
fof(f1172,plain,
( spl0_11
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1154,f251,f1169,f1165]) ).
fof(f1165,plain,
( spl0_11
<=> skaf50(sk2) = skaf49(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1154,plain,
( cyclefreeP(sk2)
| skaf50(sk2) = skaf49(sk2)
| ~ spl0_3 ),
inference(resolution,[],[f1112,f187]) ).
fof(f1084,plain,
( spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1083,plain,
( $false
| spl0_7
| spl0_9 ),
inference(subsumption_resolution,[],[f1082,f13]) ).
fof(f1082,plain,
( ~ ssList(skaf82(sk2))
| spl0_7
| spl0_9 ),
inference(subsumption_resolution,[],[f1081,f913]) ).
fof(f1081,plain,
( nil = skaf82(sk2)
| ~ ssList(skaf82(sk2))
| spl0_9 ),
inference(resolution,[],[f1075,f75]) ).
fof(f1075,plain,
( ~ ssList(tl(skaf82(sk2)))
| spl0_9 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1080,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1066,f916,f251,f1077,f1073]) ).
fof(f1077,plain,
( spl0_10
<=> memberP(skaf82(sk2),hd(skaf82(sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1066,plain,
( memberP(skaf82(sk2),hd(skaf82(sk2)))
| ~ ssList(tl(skaf82(sk2)))
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f399,f918]) ).
fof(f399,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f225,f252]) ).
fof(f1018,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1017,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1016,f12]) ).
fof(f1016,plain,
( ~ ssItem(skaf83(sk2))
| spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1001,f513]) ).
fof(f1001,plain,
( totalorderedP(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f67,f997]) ).
fof(f997,plain,
( sk2 = cons(skaf83(sk2),nil)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f967,f914]) ).
fof(f914,plain,
( nil = skaf82(sk2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f962,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f960,f244]) ).
fof(f244,plain,
( nil != sk1
| spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f960,plain,
( nil = sk1
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f959,f186]) ).
fof(f959,plain,
( ~ ssList(sk1)
| nil = sk1
| ~ spl0_1 ),
inference(resolution,[],[f945,f84]) ).
fof(f945,plain,
( frontsegP(nil,sk1)
| ~ spl0_1 ),
inference(superposition,[],[f237,f241]) ).
fof(f241,plain,
( nil = sk2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f930,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f929,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f192,f198,f194,f86,f98,f99,f96,f97,f120,f142,f162,f167,f165,f166,f163,f164,f199,f200,f201,f78,f76,f77,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f204,f205,f230,f206,f231,f169,f149,f131,f168,f132,f123,f133,f225,f139,f126,f130,f121,f122,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f209,f210,f224,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f213,f158,f172,f214,f153,f152,f154,f215,f223,f177,f217,f218,f219,f220,f221,f222,f186,f187,f188,f189,f193,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f234,f237,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,f227,f228,f229,f48,f49,f50,f51,f52,f53,f195,f245,f247,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f232,f64,f65,f66,f67,f68,f69,f70,f72,f73,f292,f286,f74,f328,f322,f258,f259,f260,f261,f262,f263,f264,f265,f75,f329,f330,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f406,f280,f281,f282,f283,f284,f315,f316,f317,f318,f319,f100,f101,f506,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f109,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f661,f662,f118,f119,f920,f921,f665,f922,f923,f924,f596,f925,f926,f927,f928,f241]) ).
fof(f919,plain,
( spl0_7
| spl0_8
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f858,f612,f251,f239,f916,f912]) ).
fof(f858,plain,
( skaf82(sk2) = cons(hd(skaf82(sk2)),tl(skaf82(sk2)))
| nil = skaf82(sk2)
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f857,f675]) ).
fof(f675,plain,
( tl(sk2) = skaf82(sk2)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f419,f669]) ).
fof(f669,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f665,f240]) ).
fof(f857,plain,
( nil = skaf82(sk2)
| tl(sk2) = cons(hd(tl(sk2)),tl(tl(sk2)))
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f624,f675]) ).
fof(f624,plain,
( nil = tl(sk2)
| tl(sk2) = cons(hd(tl(sk2)),tl(tl(sk2)))
| ~ spl0_5 ),
inference(resolution,[],[f613,f104]) ).
fof(f623,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f621,f187]) ).
fof(f621,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f620,f240]) ).
fof(f620,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_5 ),
inference(resolution,[],[f614,f75]) ).
fof(f614,plain,
( ~ ssList(tl(sk2))
| spl0_5 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f619,plain,
( ~ spl0_5
| spl0_6
| spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f605,f251,f239,f616,f612]) ).
fof(f616,plain,
( spl0_6
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f605,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f399,f600]) ).
fof(f600,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f596,f240]) ).
fof(f256,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f254,f251]) ).
fof(f246,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f195,f243,f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC031-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 03:17:07 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (14816)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14819)WARNING: value z3 for option sas not known
% 0.14/0.38 % (14820)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (14822)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 % (14823)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 % (14821)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)
% 0.14/0.38 % (14818)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 % (14817)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (14819)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.20/0.44 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.45 TRYING [4]
% 0.20/0.52 TRYING [3]
% 1.46/0.58 TRYING [5]
% 2.45/0.72 TRYING [4]
% 3.74/0.93 TRYING [6]
% 4.94/1.09 % (14819)First to succeed.
% 4.94/1.10 % (14819)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14816"
% 4.94/1.10 % (14819)Refutation found. Thanks to Tanya!
% 4.94/1.10 % SZS status Unsatisfiable for theBenchmark
% 4.94/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 4.94/1.11 % (14819)------------------------------
% 4.94/1.11 % (14819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.94/1.11 % (14819)Termination reason: Refutation
% 4.94/1.11
% 4.94/1.11 % (14819)Memory used [KB]: 11851
% 4.94/1.11 % (14819)Time elapsed: 0.703 s
% 4.94/1.11 % (14819)Instructions burned: 2066 (million)
% 4.94/1.11 % (14816)Success in time 0.725 s
%------------------------------------------------------------------------------