TSTP Solution File: SWC007-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 2 12:36:12 EDT 2023
% Result : Unsatisfiable 2.13s 0.80s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 275
% Syntax : Number of formulae : 1424 ( 540 unt; 0 def)
% Number of atoms : 3626 (1228 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 4130 (1928 ~;2120 |; 0 &)
% ( 82 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 103 ( 101 usr; 83 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 1877 (;1877 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8143,plain,
$false,
inference(avatar_smt_refutation,[],[f198,f203,f208,f213,f218,f223,f228,f233,f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f291,f297,f304,f344,f345,f420,f425,f426,f427,f432,f433,f437,f438,f621,f626,f627,f628,f675,f680,f699,f700,f747,f752,f753,f754,f820,f825,f826,f827,f1503,f1528,f2480,f2510,f2743,f2752,f2756,f2769,f2852,f2853,f3068,f3073,f3074,f3075,f3076,f3295,f3300,f3301,f3302,f3359,f3364,f3365,f3424,f4045,f4077,f4082,f4083,f4103,f4108,f4118,f4144,f4151,f4194,f4199,f4202,f4203,f4204,f4313,f4314,f4332,f4333,f4480,f4481,f4512,f4540,f4584,f4590,f4657,f4658,f4690,f4701,f4755,f4761,f4865,f5001,f5059,f5060,f5443,f5469,f5923,f5949,f8138,f8142]) ).
fof(f8142,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_70
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f8141]) ).
fof(f8141,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_70
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f8140,f424]) ).
fof(f424,plain,
( nil = app(nil,nil)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl0_25
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f8140,plain,
( nil != app(nil,nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_26
| ~ spl0_70
| ~ spl0_79 ),
inference(forward_demodulation,[],[f8139,f5442]) ).
fof(f5442,plain,
( nil = skaf45(sk2,sk2)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f5440]) ).
fof(f5440,plain,
( spl0_79
<=> nil = skaf45(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f8139,plain,
( nil != app(nil,skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_26
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f8134,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause51) ).
fof(f8134,plain,
( ~ ssList(skaf45(sk2,sk2))
| nil != app(nil,skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_26
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f8133]) ).
fof(f8133,plain,
( sk2 != sk2
| ~ ssList(skaf45(sk2,sk2))
| nil != app(nil,skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_26
| ~ spl0_70 ),
inference(superposition,[],[f2734,f4656]) ).
fof(f4656,plain,
( sk2 = app(sk2,skaf45(sk2,sk2))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f4654]) ).
fof(f4654,plain,
( spl0_70
<=> sk2 = app(sk2,skaf45(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f2734,plain,
( ! [X122] :
( sk2 != app(sk2,X122)
| ~ ssList(X122)
| nil != app(nil,X122) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f2733,f202]) ).
fof(f202,plain,
( ssList(sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl0_2
<=> ssList(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2733,plain,
( ! [X122] :
( sk2 != app(sk2,X122)
| ~ ssList(sk2)
| ~ ssList(X122)
| nil != app(nil,X122) )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f2591,f252]) ).
fof(f252,plain,
( ssList(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_12
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2591,plain,
( ! [X122] :
( sk2 != app(sk2,X122)
| ~ ssList(nil)
| ~ ssList(sk2)
| ~ ssList(X122)
| nil != app(nil,X122) )
| ~ spl0_19
| ~ spl0_26 ),
inference(superposition,[],[f2196,f431]) ).
fof(f431,plain,
( sk2 = app(nil,sk2)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl0_26
<=> sk2 = app(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2196,plain,
( ! [X8,X6,X7] :
( sk2 != app(app(X6,X7),X8)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| nil != app(X6,X8) )
| ~ spl0_19 ),
inference(forward_demodulation,[],[f193,f290]) ).
fof(f290,plain,
( nil = sk1
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl0_19
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk1 != app(X6,X8)
| sk2 != app(app(X6,X7),X8) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_8) ).
fof(f8138,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f8137]) ).
fof(f8137,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f8136,f424]) ).
fof(f8136,plain,
( nil != app(nil,nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f8135,f252]) ).
fof(f8135,plain,
( ~ ssList(nil)
| nil != app(nil,nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f8132]) ).
fof(f8132,plain,
( sk2 != sk2
| ~ ssList(nil)
| nil != app(nil,nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f2734,f419]) ).
fof(f419,plain,
( sk2 = app(sk2,nil)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl0_24
<=> sk2 = app(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f5949,plain,
( spl0_82
| ~ spl0_49
| ~ spl0_76
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f5944,f5920,f4862,f3356,f5946]) ).
fof(f5946,plain,
( spl0_82
<=> rearsegP(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f3356,plain,
( spl0_49
<=> sk2 = skaf45(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f4862,plain,
( spl0_76
<=> rearsegP(sk2,skaf45(sk2,skaf46(sk2,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f5920,plain,
( spl0_81
<=> nil = skaf46(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f5944,plain,
( rearsegP(sk2,sk2)
| ~ spl0_49
| ~ spl0_76
| ~ spl0_81 ),
inference(forward_demodulation,[],[f5933,f3358]) ).
fof(f3358,plain,
( sk2 = skaf45(sk2,nil)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f5933,plain,
( rearsegP(sk2,skaf45(sk2,nil))
| ~ spl0_76
| ~ spl0_81 ),
inference(superposition,[],[f4864,f5922]) ).
fof(f5922,plain,
( nil = skaf46(sk2,sk2)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f5920]) ).
fof(f4864,plain,
( rearsegP(sk2,skaf45(sk2,skaf46(sk2,sk2)))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f4862]) ).
fof(f5923,plain,
( spl0_81
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f5918,f4477,f429,f250,f200,f5920]) ).
fof(f4477,plain,
( spl0_64
<=> sk2 = app(skaf46(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f5918,plain,
( nil = skaf46(sk2,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f5917,f50]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause50) ).
fof(f5917,plain,
( ~ ssList(skaf46(sk2,sk2))
| nil = skaf46(sk2,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f5916]) ).
fof(f5916,plain,
( sk2 != sk2
| ~ ssList(skaf46(sk2,sk2))
| nil = skaf46(sk2,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| ~ spl0_64 ),
inference(superposition,[],[f5759,f4479]) ).
fof(f4479,plain,
( sk2 = app(skaf46(sk2,sk2),sk2)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f4477]) ).
fof(f5759,plain,
( ! [X125] :
( sk2 != app(X125,sk2)
| ~ ssList(X125)
| nil = X125 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f5758,f252]) ).
fof(f5758,plain,
( ! [X125] :
( sk2 != app(X125,sk2)
| ~ ssList(X125)
| nil = X125
| ~ ssList(nil) )
| ~ spl0_2
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f5571,f202]) ).
fof(f5571,plain,
( ! [X125] :
( sk2 != app(X125,sk2)
| ~ ssList(X125)
| ~ ssList(sk2)
| nil = X125
| ~ ssList(nil) )
| ~ spl0_26 ),
inference(superposition,[],[f151,f431]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause151) ).
fof(f5469,plain,
( spl0_80
| ~ spl0_47
| ~ spl0_77
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f5464,f5440,f4998,f3292,f5466]) ).
fof(f5466,plain,
( spl0_80
<=> frontsegP(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f3292,plain,
( spl0_47
<=> sk2 = skaf46(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f4998,plain,
( spl0_77
<=> frontsegP(sk2,skaf46(sk2,skaf45(sk2,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f5464,plain,
( frontsegP(sk2,sk2)
| ~ spl0_47
| ~ spl0_77
| ~ spl0_79 ),
inference(forward_demodulation,[],[f5453,f3294]) ).
fof(f3294,plain,
( sk2 = skaf46(sk2,nil)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f5453,plain,
( frontsegP(sk2,skaf46(sk2,nil))
| ~ spl0_77
| ~ spl0_79 ),
inference(superposition,[],[f5000,f5442]) ).
fof(f5000,plain,
( frontsegP(sk2,skaf46(sk2,skaf45(sk2,sk2)))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f4998]) ).
fof(f5443,plain,
( spl0_79
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f5438,f4654,f417,f250,f200,f5440]) ).
fof(f5438,plain,
( nil = skaf45(sk2,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f5437,f51]) ).
fof(f5437,plain,
( ~ ssList(skaf45(sk2,sk2))
| nil = skaf45(sk2,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f5436]) ).
fof(f5436,plain,
( sk2 != sk2
| ~ ssList(skaf45(sk2,sk2))
| nil = skaf45(sk2,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| ~ spl0_70 ),
inference(superposition,[],[f5250,f4656]) ).
fof(f5250,plain,
( ! [X61] :
( sk2 != app(sk2,X61)
| ~ ssList(X61)
| nil = X61 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f5249,f252]) ).
fof(f5249,plain,
( ! [X61] :
( sk2 != app(sk2,X61)
| ~ ssList(X61)
| nil = X61
| ~ ssList(nil) )
| ~ spl0_2
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f5097,f202]) ).
fof(f5097,plain,
( ! [X61] :
( sk2 != app(sk2,X61)
| ~ ssList(X61)
| ~ ssList(sk2)
| nil = X61
| ~ ssList(nil) )
| ~ spl0_24 ),
inference(superposition,[],[f150,f419]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause150) ).
fof(f5060,plain,
( spl0_78
| ~ spl0_2
| ~ spl0_4
| ~ spl0_17
| spl0_36
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f5054,f4105,f1500,f275,f210,f200,f5056]) ).
fof(f5056,plain,
( spl0_78
<=> tl(app(sk2,sk2)) = app(skaf82(sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f210,plain,
( spl0_4
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f275,plain,
( spl0_17
<=> sk2 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1500,plain,
( spl0_36
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f4105,plain,
( spl0_56
<=> tl(sk2) = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f5054,plain,
( tl(app(sk2,sk2)) = app(skaf82(sk2),sk2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_17
| spl0_36
| ~ spl0_56 ),
inference(forward_demodulation,[],[f5045,f277]) ).
fof(f277,plain,
( sk2 = sk4
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f5045,plain,
( tl(app(sk2,sk4)) = app(skaf82(sk2),sk4)
| ~ spl0_2
| ~ spl0_4
| spl0_36
| ~ spl0_56 ),
inference(resolution,[],[f4990,f212]) ).
fof(f212,plain,
( ssList(sk4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f4990,plain,
( ! [X70] :
( ~ ssList(X70)
| tl(app(sk2,X70)) = app(skaf82(sk2),X70) )
| ~ spl0_2
| spl0_36
| ~ spl0_56 ),
inference(forward_demodulation,[],[f4989,f4107]) ).
fof(f4107,plain,
( tl(sk2) = skaf82(sk2)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f4105]) ).
fof(f4989,plain,
( ! [X70] :
( ~ ssList(X70)
| tl(app(sk2,X70)) = app(tl(sk2),X70) )
| ~ spl0_2
| spl0_36 ),
inference(subsumption_resolution,[],[f4985,f1501]) ).
fof(f1501,plain,
( nil != sk2
| spl0_36 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f4985,plain,
( ! [X70] :
( ~ ssList(X70)
| nil = sk2
| tl(app(sk2,X70)) = app(tl(sk2),X70) )
| ~ spl0_2 ),
inference(resolution,[],[f133,f202]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause133) ).
fof(f5059,plain,
( spl0_78
| ~ spl0_2
| spl0_36
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f5043,f4105,f1500,f200,f5056]) ).
fof(f5043,plain,
( tl(app(sk2,sk2)) = app(skaf82(sk2),sk2)
| ~ spl0_2
| spl0_36
| ~ spl0_56 ),
inference(resolution,[],[f4990,f202]) ).
fof(f5001,plain,
( spl0_77
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f4952,f4758,f4998]) ).
fof(f4758,plain,
( spl0_75
<=> sk2 = app(skaf46(sk2,skaf45(sk2,sk2)),skaf45(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f4952,plain,
( frontsegP(sk2,skaf46(sk2,skaf45(sk2,sk2)))
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f4951,f51]) ).
fof(f4951,plain,
( frontsegP(sk2,skaf46(sk2,skaf45(sk2,sk2)))
| ~ ssList(skaf45(sk2,sk2))
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f4934,f50]) ).
fof(f4934,plain,
( frontsegP(sk2,skaf46(sk2,skaf45(sk2,sk2)))
| ~ ssList(skaf46(sk2,skaf45(sk2,sk2)))
| ~ ssList(skaf45(sk2,sk2))
| ~ spl0_75 ),
inference(superposition,[],[f3930,f4760]) ).
fof(f4760,plain,
( sk2 = app(skaf46(sk2,skaf45(sk2,sk2)),skaf45(sk2,sk2))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f4758]) ).
fof(f3930,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3872,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause85) ).
fof(f3872,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause144) ).
fof(f4865,plain,
( spl0_76
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4858,f4587,f4862]) ).
fof(f4587,plain,
( spl0_69
<=> sk2 = app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f4858,plain,
( rearsegP(sk2,skaf45(sk2,skaf46(sk2,sk2)))
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f4857,f50]) ).
fof(f4857,plain,
( rearsegP(sk2,skaf45(sk2,skaf46(sk2,sk2)))
| ~ ssList(skaf46(sk2,sk2))
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f4839,f51]) ).
fof(f4839,plain,
( rearsegP(sk2,skaf45(sk2,skaf46(sk2,sk2)))
| ~ ssList(skaf45(sk2,skaf46(sk2,sk2)))
| ~ ssList(skaf46(sk2,sk2))
| ~ spl0_69 ),
inference(superposition,[],[f3738,f4589]) ).
fof(f4589,plain,
( sk2 = app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2)))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f4587]) ).
fof(f3738,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3680,f85]) ).
fof(f3680,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause143) ).
fof(f4761,plain,
( spl0_75
| ~ spl0_2
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f4708,f4698,f200,f4758]) ).
fof(f4698,plain,
( spl0_72
<=> rearsegP(sk2,skaf45(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f4708,plain,
( sk2 = app(skaf46(sk2,skaf45(sk2,sk2)),skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f4707,f51]) ).
fof(f4707,plain,
( ~ ssList(skaf45(sk2,sk2))
| sk2 = app(skaf46(sk2,skaf45(sk2,sk2)),skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f4703,f202]) ).
fof(f4703,plain,
( ~ ssList(sk2)
| ~ ssList(skaf45(sk2,sk2))
| sk2 = app(skaf46(sk2,skaf45(sk2,sk2)),skaf45(sk2,sk2))
| ~ spl0_72 ),
inference(resolution,[],[f4700,f131]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause131) ).
fof(f4700,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f4698]) ).
fof(f4755,plain,
( spl0_73
| ~ spl0_74
| ~ spl0_2
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f4710,f4698,f200,f4752,f4748]) ).
fof(f4748,plain,
( spl0_73
<=> sk2 = skaf45(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f4752,plain,
( spl0_74
<=> rearsegP(skaf45(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f4710,plain,
( ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2)
| ~ spl0_2
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f4709,f202]) ).
fof(f4709,plain,
( ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2)
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f4704,f51]) ).
fof(f4704,plain,
( ~ ssList(skaf45(sk2,sk2))
| ~ ssList(sk2)
| ~ rearsegP(skaf45(sk2,sk2),sk2)
| sk2 = skaf45(sk2,sk2)
| ~ spl0_72 ),
inference(resolution,[],[f4700,f128]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause128) ).
fof(f4701,plain,
( spl0_72
| ~ spl0_2
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f4685,f4654,f200,f4698]) ).
fof(f4685,plain,
( rearsegP(sk2,skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f4682,f51]) ).
fof(f4682,plain,
( ~ ssList(skaf45(sk2,sk2))
| rearsegP(sk2,skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_70 ),
inference(duplicate_literal_removal,[],[f4680]) ).
fof(f4680,plain,
( ~ ssList(skaf45(sk2,sk2))
| rearsegP(sk2,skaf45(sk2,sk2))
| ~ ssList(skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_70 ),
inference(resolution,[],[f4671,f59]) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause59) ).
fof(f4671,plain,
( ! [X0] :
( ~ rearsegP(skaf45(sk2,sk2),X0)
| ~ ssList(X0)
| rearsegP(sk2,X0) )
| ~ spl0_2
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f4670,f202]) ).
fof(f4670,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk2,sk2),X0)
| ~ ssList(sk2) )
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f4662,f51]) ).
fof(f4662,plain,
( ! [X0] :
( rearsegP(sk2,X0)
| ~ ssList(skaf45(sk2,sk2))
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk2,sk2),X0)
| ~ ssList(sk2) )
| ~ spl0_70 ),
inference(superposition,[],[f136,f4656]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause136) ).
fof(f4690,plain,
( spl0_71
| ~ spl0_2
| ~ spl0_12
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f4684,f4654,f250,f200,f4687]) ).
fof(f4687,plain,
( spl0_71
<=> rearsegP(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f4684,plain,
( rearsegP(sk2,nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f4683,f51]) ).
fof(f4683,plain,
( rearsegP(sk2,nil)
| ~ ssList(skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f4679,f252]) ).
fof(f4679,plain,
( ~ ssList(nil)
| rearsegP(sk2,nil)
| ~ ssList(skaf45(sk2,sk2))
| ~ spl0_2
| ~ spl0_70 ),
inference(resolution,[],[f4671,f58]) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause58) ).
fof(f4658,plain,
( spl0_70
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f4652,f275,f210,f4654]) ).
fof(f4652,plain,
( sk2 = app(sk2,skaf45(sk2,sk2))
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f4646,f277]) ).
fof(f4646,plain,
( sk4 = app(sk4,skaf45(sk4,sk4))
| ~ spl0_4 ),
inference(resolution,[],[f2885,f212]) ).
fof(f2885,plain,
! [X1] :
( ~ ssList(X1)
| app(X1,skaf45(X1,X1)) = X1 ),
inference(duplicate_literal_removal,[],[f2882]) ).
fof(f2882,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| app(X1,skaf45(X1,X1)) = X1
| ~ ssList(X1) ),
inference(resolution,[],[f132,f61]) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause61) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause132) ).
fof(f4657,plain,
( spl0_70
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4644,f200,f4654]) ).
fof(f4644,plain,
( sk2 = app(sk2,skaf45(sk2,sk2))
| ~ spl0_2 ),
inference(resolution,[],[f2885,f202]) ).
fof(f4590,plain,
( spl0_69
| ~ spl0_2
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4547,f4537,f200,f4587]) ).
fof(f4537,plain,
( spl0_66
<=> frontsegP(sk2,skaf46(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f4547,plain,
( sk2 = app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2)))
| ~ spl0_2
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f4546,f50]) ).
fof(f4546,plain,
( ~ ssList(skaf46(sk2,sk2))
| sk2 = app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2)))
| ~ spl0_2
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f4542,f202]) ).
fof(f4542,plain,
( ~ ssList(sk2)
| ~ ssList(skaf46(sk2,sk2))
| sk2 = app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2)))
| ~ spl0_66 ),
inference(resolution,[],[f4539,f132]) ).
fof(f4539,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f4537]) ).
fof(f4584,plain,
( spl0_67
| ~ spl0_68
| ~ spl0_2
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4549,f4537,f200,f4581,f4577]) ).
fof(f4577,plain,
( spl0_67
<=> sk2 = skaf46(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f4581,plain,
( spl0_68
<=> frontsegP(skaf46(sk2,sk2),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f4549,plain,
( ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2)
| ~ spl0_2
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f4548,f202]) ).
fof(f4548,plain,
( ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2)
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f4543,f50]) ).
fof(f4543,plain,
( ~ ssList(skaf46(sk2,sk2))
| ~ ssList(sk2)
| ~ frontsegP(skaf46(sk2,sk2),sk2)
| sk2 = skaf46(sk2,sk2)
| ~ spl0_66 ),
inference(resolution,[],[f4539,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause129) ).
fof(f4540,plain,
( spl0_66
| ~ spl0_2
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f4507,f4477,f200,f4537]) ).
fof(f4507,plain,
( frontsegP(sk2,skaf46(sk2,sk2))
| ~ spl0_2
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f4504,f50]) ).
fof(f4504,plain,
( ~ ssList(skaf46(sk2,sk2))
| frontsegP(sk2,skaf46(sk2,sk2))
| ~ spl0_2
| ~ spl0_64 ),
inference(duplicate_literal_removal,[],[f4502]) ).
fof(f4502,plain,
( ~ ssList(skaf46(sk2,sk2))
| frontsegP(sk2,skaf46(sk2,sk2))
| ~ ssList(skaf46(sk2,sk2))
| ~ spl0_2
| ~ spl0_64 ),
inference(resolution,[],[f4494,f61]) ).
fof(f4494,plain,
( ! [X1] :
( ~ frontsegP(skaf46(sk2,sk2),X1)
| ~ ssList(X1)
| frontsegP(sk2,X1) )
| ~ spl0_2
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f4493,f202]) ).
fof(f4493,plain,
( ! [X1] :
( frontsegP(sk2,X1)
| ~ ssList(X1)
| ~ frontsegP(skaf46(sk2,sk2),X1)
| ~ ssList(sk2) )
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f4486,f50]) ).
fof(f4486,plain,
( ! [X1] :
( frontsegP(sk2,X1)
| ~ ssList(skaf46(sk2,sk2))
| ~ ssList(X1)
| ~ frontsegP(skaf46(sk2,sk2),X1)
| ~ ssList(sk2) )
| ~ spl0_64 ),
inference(superposition,[],[f137,f4479]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause137) ).
fof(f4512,plain,
( spl0_65
| ~ spl0_2
| ~ spl0_12
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f4506,f4477,f250,f200,f4509]) ).
fof(f4509,plain,
( spl0_65
<=> frontsegP(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f4506,plain,
( frontsegP(sk2,nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f4505,f50]) ).
fof(f4505,plain,
( frontsegP(sk2,nil)
| ~ ssList(skaf46(sk2,sk2))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f4501,f252]) ).
fof(f4501,plain,
( ~ ssList(nil)
| frontsegP(sk2,nil)
| ~ ssList(skaf46(sk2,sk2))
| ~ spl0_2
| ~ spl0_64 ),
inference(resolution,[],[f4494,f60]) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause60) ).
fof(f4481,plain,
( spl0_64
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f4475,f275,f210,f4477]) ).
fof(f4475,plain,
( sk2 = app(skaf46(sk2,sk2),sk2)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f4469,f277]) ).
fof(f4469,plain,
( sk4 = app(skaf46(sk4,sk4),sk4)
| ~ spl0_4 ),
inference(resolution,[],[f2865,f212]) ).
fof(f2865,plain,
! [X1] :
( ~ ssList(X1)
| app(skaf46(X1,X1),X1) = X1 ),
inference(duplicate_literal_removal,[],[f2862]) ).
fof(f2862,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| app(skaf46(X1,X1),X1) = X1
| ~ ssList(X1) ),
inference(resolution,[],[f131,f59]) ).
fof(f4480,plain,
( spl0_64
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4467,f200,f4477]) ).
fof(f4467,plain,
( sk2 = app(skaf46(sk2,sk2),sk2)
| ~ spl0_2 ),
inference(resolution,[],[f2865,f202]) ).
fof(f4333,plain,
( ~ spl0_63
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| spl0_36 ),
inference(avatar_split_clause,[],[f4327,f1500,f429,f250,f200,f4329]) ).
fof(f4329,plain,
( spl0_63
<=> frontsegP(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f4327,plain,
( ~ frontsegP(nil,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| spl0_36 ),
inference(subsumption_resolution,[],[f4326,f1501]) ).
fof(f4326,plain,
( ~ frontsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f4321,f252]) ).
fof(f4321,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f4319]) ).
fof(f4319,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,sk2)
| nil = sk2
| ~ ssList(nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(resolution,[],[f3208,f61]) ).
fof(f3208,plain,
( ! [X1] :
( ~ frontsegP(nil,X1)
| ~ ssList(X1)
| ~ frontsegP(X1,sk2)
| sk2 = X1 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f3205,f202]) ).
fof(f3205,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(sk2)
| ~ frontsegP(X1,sk2)
| sk2 = X1 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f3204]) ).
fof(f3204,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ frontsegP(X1,sk2)
| sk2 = X1 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(resolution,[],[f3202,f129]) ).
fof(f3202,plain,
( ! [X122] :
( frontsegP(sk2,X122)
| ~ ssList(X122)
| ~ frontsegP(nil,X122) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f3201,f202]) ).
fof(f3201,plain,
( ! [X122] :
( frontsegP(sk2,X122)
| ~ ssList(X122)
| ~ frontsegP(nil,X122)
| ~ ssList(sk2) )
| ~ spl0_12
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f3141,f252]) ).
fof(f3141,plain,
( ! [X122] :
( frontsegP(sk2,X122)
| ~ ssList(nil)
| ~ ssList(X122)
| ~ frontsegP(nil,X122)
| ~ ssList(sk2) )
| ~ spl0_26 ),
inference(superposition,[],[f137,f431]) ).
fof(f4332,plain,
( ~ spl0_63
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| spl0_36 ),
inference(avatar_split_clause,[],[f4325,f1500,f429,f250,f200,f4329]) ).
fof(f4325,plain,
( ~ frontsegP(nil,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26
| spl0_36 ),
inference(subsumption_resolution,[],[f4324,f1501]) ).
fof(f4324,plain,
( ~ frontsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f4322,f252]) ).
fof(f4322,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f4318]) ).
fof(f4318,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,sk2)
| nil = sk2
| ~ ssList(nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_26 ),
inference(resolution,[],[f3208,f60]) ).
fof(f4314,plain,
( ~ spl0_62
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| spl0_36 ),
inference(avatar_split_clause,[],[f4308,f1500,f417,f250,f200,f4310]) ).
fof(f4310,plain,
( spl0_62
<=> rearsegP(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f4308,plain,
( ~ rearsegP(nil,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| spl0_36 ),
inference(subsumption_resolution,[],[f4307,f1501]) ).
fof(f4307,plain,
( ~ rearsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f4302,f252]) ).
fof(f4302,plain,
( ~ ssList(nil)
| ~ rearsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f4300]) ).
fof(f4300,plain,
( ~ ssList(nil)
| ~ rearsegP(nil,sk2)
| nil = sk2
| ~ ssList(nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(resolution,[],[f3024,f59]) ).
fof(f3024,plain,
( ! [X1] :
( ~ rearsegP(nil,X1)
| ~ ssList(X1)
| ~ rearsegP(X1,sk2)
| sk2 = X1 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f3021,f202]) ).
fof(f3021,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(sk2)
| ~ rearsegP(X1,sk2)
| sk2 = X1 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f3020]) ).
fof(f3020,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ rearsegP(X1,sk2)
| sk2 = X1 )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(resolution,[],[f3018,f128]) ).
fof(f3018,plain,
( ! [X61] :
( rearsegP(sk2,X61)
| ~ ssList(X61)
| ~ rearsegP(nil,X61) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f3017,f202]) ).
fof(f3017,plain,
( ! [X61] :
( rearsegP(sk2,X61)
| ~ ssList(X61)
| ~ rearsegP(nil,X61)
| ~ ssList(sk2) )
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f2929,f252]) ).
fof(f2929,plain,
( ! [X61] :
( rearsegP(sk2,X61)
| ~ ssList(nil)
| ~ ssList(X61)
| ~ rearsegP(nil,X61)
| ~ ssList(sk2) )
| ~ spl0_24 ),
inference(superposition,[],[f136,f419]) ).
fof(f4313,plain,
( ~ spl0_62
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| spl0_36 ),
inference(avatar_split_clause,[],[f4306,f1500,f417,f250,f200,f4310]) ).
fof(f4306,plain,
( ~ rearsegP(nil,sk2)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24
| spl0_36 ),
inference(subsumption_resolution,[],[f4305,f1501]) ).
fof(f4305,plain,
( ~ rearsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f4303,f252]) ).
fof(f4303,plain,
( ~ ssList(nil)
| ~ rearsegP(nil,sk2)
| nil = sk2
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f4299]) ).
fof(f4299,plain,
( ~ ssList(nil)
| ~ rearsegP(nil,sk2)
| nil = sk2
| ~ ssList(nil)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_24 ),
inference(resolution,[],[f3024,f58]) ).
fof(f4204,plain,
( spl0_61
| ~ spl0_4
| ~ spl0_17
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4189,f2745,f275,f210,f4196]) ).
fof(f4196,plain,
( spl0_61
<=> hd(sk2) = hd(cons(hd(sk2),sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2745,plain,
( spl0_40
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f4189,plain,
( hd(sk2) = hd(cons(hd(sk2),sk2))
| ~ spl0_4
| ~ spl0_17
| ~ spl0_40 ),
inference(forward_demodulation,[],[f4186,f277]) ).
fof(f4186,plain,
( hd(sk2) = hd(cons(hd(sk2),sk4))
| ~ spl0_4
| ~ spl0_40 ),
inference(resolution,[],[f2758,f212]) ).
fof(f2758,plain,
( ! [X1] :
( ~ ssList(X1)
| hd(sk2) = hd(cons(hd(sk2),X1)) )
| ~ spl0_40 ),
inference(resolution,[],[f2746,f97]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause97) ).
fof(f2746,plain,
( ssItem(hd(sk2))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f2745]) ).
fof(f4203,plain,
( spl0_60
| ~ spl0_3
| ~ spl0_16
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4188,f2745,f270,f205,f4191]) ).
fof(f4191,plain,
( spl0_60
<=> hd(sk2) = hd(cons(hd(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f205,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f270,plain,
( spl0_16
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f4188,plain,
( hd(sk2) = hd(cons(hd(sk2),nil))
| ~ spl0_3
| ~ spl0_16
| ~ spl0_40 ),
inference(forward_demodulation,[],[f4185,f272]) ).
fof(f272,plain,
( nil = sk3
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f4185,plain,
( hd(sk2) = hd(cons(hd(sk2),sk3))
| ~ spl0_3
| ~ spl0_40 ),
inference(resolution,[],[f2758,f207]) ).
fof(f207,plain,
( ssList(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f4202,plain,
( spl0_60
| ~ spl0_1
| ~ spl0_19
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4187,f2745,f288,f195,f4191]) ).
fof(f195,plain,
( spl0_1
<=> ssList(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4187,plain,
( hd(sk2) = hd(cons(hd(sk2),nil))
| ~ spl0_1
| ~ spl0_19
| ~ spl0_40 ),
inference(forward_demodulation,[],[f4183,f290]) ).
fof(f4183,plain,
( hd(sk2) = hd(cons(hd(sk2),sk1))
| ~ spl0_1
| ~ spl0_40 ),
inference(resolution,[],[f2758,f197]) ).
fof(f197,plain,
( ssList(sk1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f4199,plain,
( spl0_61
| ~ spl0_2
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4184,f2745,f200,f4196]) ).
fof(f4184,plain,
( hd(sk2) = hd(cons(hd(sk2),sk2))
| ~ spl0_2
| ~ spl0_40 ),
inference(resolution,[],[f2758,f202]) ).
fof(f4194,plain,
( spl0_60
| ~ spl0_12
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4152,f2745,f250,f4191]) ).
fof(f4152,plain,
( hd(sk2) = hd(cons(hd(sk2),nil))
| ~ spl0_12
| ~ spl0_40 ),
inference(resolution,[],[f2758,f252]) ).
fof(f4151,plain,
( spl0_59
| ~ spl0_40
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f4146,f4115,f2745,f4148]) ).
fof(f4148,plain,
( spl0_59
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f4115,plain,
( spl0_57
<=> sk2 = cons(hd(sk2),skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f4146,plain,
( memberP(sk2,hd(sk2))
| ~ spl0_40
| ~ spl0_57 ),
inference(subsumption_resolution,[],[f4145,f2746]) ).
fof(f4145,plain,
( memberP(sk2,hd(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_40
| ~ spl0_57 ),
inference(equality_resolution,[],[f4133]) ).
fof(f4133,plain,
( ! [X0] :
( hd(sk2) != X0
| memberP(sk2,X0)
| ~ ssItem(X0) )
| ~ spl0_40
| ~ spl0_57 ),
inference(subsumption_resolution,[],[f4132,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause13) ).
fof(f4132,plain,
( ! [X0] :
( memberP(sk2,X0)
| ~ ssList(skaf82(sk2))
| hd(sk2) != X0
| ~ ssItem(X0) )
| ~ spl0_40
| ~ spl0_57 ),
inference(subsumption_resolution,[],[f4129,f2746]) ).
fof(f4129,plain,
( ! [X0] :
( memberP(sk2,X0)
| ~ ssItem(hd(sk2))
| ~ ssList(skaf82(sk2))
| hd(sk2) != X0
| ~ ssItem(X0) )
| ~ spl0_57 ),
inference(superposition,[],[f138,f4117]) ).
fof(f4117,plain,
( sk2 = cons(hd(sk2),skaf82(sk2))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f4115]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause138) ).
fof(f4144,plain,
( spl0_58
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4137,f4042,f4141]) ).
fof(f4141,plain,
( spl0_58
<=> memberP(sk2,skaf83(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f4042,plain,
( spl0_51
<=> sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f4137,plain,
( memberP(sk2,skaf83(sk2))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4136,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause12) ).
fof(f4136,plain,
( memberP(sk2,skaf83(sk2))
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(equality_resolution,[],[f4070]) ).
fof(f4070,plain,
( ! [X0] :
( skaf83(sk2) != X0
| memberP(sk2,X0)
| ~ ssItem(X0) )
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4069,f13]) ).
fof(f4069,plain,
( ! [X0] :
( memberP(sk2,X0)
| ~ ssList(skaf82(sk2))
| skaf83(sk2) != X0
| ~ ssItem(X0) )
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4055,f12]) ).
fof(f4055,plain,
( ! [X0] :
( memberP(sk2,X0)
| ~ ssItem(skaf83(sk2))
| ~ ssList(skaf82(sk2))
| skaf83(sk2) != X0
| ~ ssItem(X0) )
| ~ spl0_51 ),
inference(superposition,[],[f138,f4044]) ).
fof(f4044,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f4042]) ).
fof(f4118,plain,
( spl0_57
| ~ spl0_35
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f4111,f4105,f1496,f4115]) ).
fof(f1496,plain,
( spl0_35
<=> sk2 = cons(hd(sk2),tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f4111,plain,
( sk2 = cons(hd(sk2),skaf82(sk2))
| ~ spl0_35
| ~ spl0_56 ),
inference(superposition,[],[f1498,f4107]) ).
fof(f1498,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f4108,plain,
( spl0_56
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4046,f4042,f4105]) ).
fof(f4046,plain,
( tl(sk2) = skaf82(sk2)
| ~ spl0_51 ),
inference(superposition,[],[f989,f4044]) ).
fof(f989,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf83(X1),skaf82(X2))),
inference(resolution,[],[f563,f13]) ).
fof(f563,plain,
! [X2,X3] :
( ~ ssList(X2)
| tl(cons(skaf83(X3),X2)) = X2 ),
inference(resolution,[],[f96,f12]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause96) ).
fof(f4103,plain,
( spl0_54
| ~ spl0_55
| spl0_43
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4068,f4042,f2766,f4100,f4096]) ).
fof(f4096,plain,
( spl0_54
<=> totalorderedP(skaf82(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f4100,plain,
( spl0_55
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2766,plain,
( spl0_43
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f4068,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| spl0_43
| ~ spl0_51 ),
inference(global_subsumption,[],[f193,f142,f162,f166,f167,f165,f164,f163,f78,f77,f157,f169,f149,f168,f133,f122,f135,f150,f151,f145,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f175,f158,f172,f173,f153,f152,f154,f179,f178,f177,f180,f181,f182,f185,f183,f184,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f64,f65,f66,f67,f68,f69,f70,f72,f73,f74,f75,f434,f435,f76,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f79,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f80,f81,f82,f83,f84,f85,f457,f458,f86,f506,f507,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f368,f369,f370,f96,f578,f97,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f100,f101,f102,f103,f105,f106,f107,f108,f110,f945,f111,f371,f372,f373,f403,f114,f404,f405,f406,f407,f408,f563,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f115,f564,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f565,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f117,f566,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f567,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f112,f568,f1223,f1224,f1225,f1226,f1227,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f569,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f113,f570,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f571,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f116,f1370,f572,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f573,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f104,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1488,f1482,f1483,f109,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1564,f1558,f1559,f574,f1567,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1595,f1596,f575,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f118,f576,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1725,f1726,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f577,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f119,f885,f887,f889,f919,f921,f989,f990,f991,f992,f120,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1871,f1872,f1873,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f121,f1907,f1909,f1911,f1913,f1004,f1005,f1006,f1007,f1008,f1009,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f124,f1050,f1051,f1052,f1053,f1054,f1076,f1077,f1078,f1079,f1080,f1081,f125,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f126,f2016,f2019,f1093,f1094,f1095,f1096,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f128,f1139,f1140,f1141,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f129,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f130,f2130,f2137,f2134,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f1182,f1183,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f2767,f123,f2771,f2772,f2773,f2774,f2775,f2776,f2777,f2778,f2779,f2780,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2805,f2799,f2800,f131,f2865,f132,f2885,f136,f2961,f2962,f137,f3145,f3146,f138,f139,f140,f141,f143,f3738,f144,f3930,f134,f4044,f4046,f4059,f4062,f4064,f4065,f4067]) ).
fof(f4067,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4066,f12]) ).
fof(f4066,plain,
( ~ totalorderedP(sk2)
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4053,f13]) ).
fof(f4053,plain,
( ~ totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| totalorderedP(skaf82(sk2))
| nil = skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(superposition,[],[f125,f4044]) ).
fof(f4065,plain,
( nil != skaf82(sk2)
| spl0_43
| ~ spl0_51 ),
inference(global_subsumption,[],[f193,f142,f162,f166,f167,f165,f164,f163,f78,f77,f157,f169,f149,f168,f133,f122,f135,f150,f151,f145,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f175,f158,f172,f173,f153,f152,f154,f179,f178,f177,f180,f181,f182,f185,f183,f184,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f64,f65,f66,f67,f68,f69,f70,f72,f73,f74,f75,f434,f435,f76,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f79,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f80,f81,f82,f83,f84,f85,f457,f458,f86,f506,f507,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f368,f369,f370,f96,f578,f97,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f100,f101,f102,f103,f105,f106,f107,f108,f110,f945,f111,f371,f372,f373,f403,f114,f404,f405,f406,f407,f408,f563,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f115,f564,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f565,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f117,f566,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f567,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f112,f568,f1223,f1224,f1225,f1226,f1227,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f569,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f113,f570,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f571,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f116,f1370,f572,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f573,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f104,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1488,f1482,f1483,f109,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1564,f1558,f1559,f574,f1567,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1595,f1596,f575,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f118,f576,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1725,f1726,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f577,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f119,f885,f887,f889,f919,f921,f989,f990,f991,f992,f120,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1871,f1872,f1873,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f121,f1907,f1909,f1911,f1913,f1004,f1005,f1006,f1007,f1008,f1009,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f124,f1050,f1051,f1052,f1053,f1054,f1076,f1077,f1078,f1079,f1080,f1081,f125,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f126,f2016,f2019,f1093,f1094,f1095,f1096,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f128,f1139,f1140,f1141,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f129,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f130,f2130,f2137,f2134,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f1182,f1183,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f2767,f123,f2771,f2772,f2773,f2774,f2775,f2776,f2777,f2778,f2779,f2780,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2805,f2799,f2800,f131,f2865,f132,f2885,f136,f2961,f2962,f137,f3145,f3146,f138,f139,f140,f141,f143,f3738,f144,f3930,f134,f4044,f4046,f4059,f4062,f4064]) ).
fof(f4064,plain,
( totalorderedP(sk2)
| nil != skaf82(sk2)
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4063,f12]) ).
fof(f4063,plain,
( totalorderedP(sk2)
| nil != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4051,f13]) ).
fof(f4051,plain,
( totalorderedP(sk2)
| ~ ssList(skaf82(sk2))
| nil != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(superposition,[],[f113,f4044]) ).
fof(f4062,plain,
( nil != skaf82(sk2)
| spl0_43
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4061,f12]) ).
fof(f4061,plain,
( nil != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_43
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4060,f13]) ).
fof(f4060,plain,
( ~ ssList(skaf82(sk2))
| nil != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| spl0_43
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4050,f2767]) ).
fof(f4050,plain,
( strictorderedP(sk2)
| ~ ssList(skaf82(sk2))
| nil != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(superposition,[],[f112,f4044]) ).
fof(f4059,plain,
( sk2 != skaf82(sk2)
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4058,f12]) ).
fof(f4058,plain,
( sk2 != skaf82(sk2)
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f4049,f13]) ).
fof(f4049,plain,
( sk2 != skaf82(sk2)
| ~ ssList(skaf82(sk2))
| ~ ssItem(skaf83(sk2))
| ~ spl0_51 ),
inference(superposition,[],[f99,f4044]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause134) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause141) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause140) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause139) ).
fof(f3146,plain,
! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ frontsegP(X3,X4)
| ~ ssList(X5)
| ~ frontsegP(X4,app(X3,X5))
| app(X3,X5) = X4 ),
inference(subsumption_resolution,[],[f3143,f85]) ).
fof(f3143,plain,
! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ frontsegP(X3,X4)
| ~ ssList(X5)
| ~ ssList(app(X3,X5))
| ~ frontsegP(X4,app(X3,X5))
| app(X3,X5) = X4 ),
inference(duplicate_literal_removal,[],[f3084]) ).
fof(f3084,plain,
! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ frontsegP(X3,X4)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(app(X3,X5))
| ~ frontsegP(X4,app(X3,X5))
| app(X3,X5) = X4 ),
inference(resolution,[],[f137,f129]) ).
fof(f3145,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ),
inference(subsumption_resolution,[],[f3144,f85]) ).
fof(f3144,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ),
inference(duplicate_literal_removal,[],[f3083]) ).
fof(f3083,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ),
inference(resolution,[],[f137,f132]) ).
fof(f2962,plain,
! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ rearsegP(X3,X4)
| ~ ssList(X5)
| ~ rearsegP(X4,app(X5,X3))
| app(X5,X3) = X4 ),
inference(subsumption_resolution,[],[f2959,f85]) ).
fof(f2959,plain,
! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ rearsegP(X3,X4)
| ~ ssList(X5)
| ~ ssList(app(X5,X3))
| ~ rearsegP(X4,app(X5,X3))
| app(X5,X3) = X4 ),
inference(duplicate_literal_removal,[],[f2900]) ).
fof(f2900,plain,
! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ rearsegP(X3,X4)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(app(X5,X3))
| ~ rearsegP(X4,app(X5,X3))
| app(X5,X3) = X4 ),
inference(resolution,[],[f136,f128]) ).
fof(f2961,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ),
inference(subsumption_resolution,[],[f2960,f85]) ).
fof(f2960,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ),
inference(duplicate_literal_removal,[],[f2899]) ).
fof(f2899,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ ssList(X1)
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ),
inference(resolution,[],[f136,f131]) ).
fof(f2800,plain,
! [X68,X67] :
( ~ ssList(X67)
| nil = tl(X68)
| hd(app(tl(X68),X67)) = hd(tl(X68))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f123,f75]) ).
fof(f2799,plain,
! [X65,X66,X64] :
( ~ ssList(X64)
| nil = app(X65,X66)
| hd(app(app(X65,X66),X64)) = hd(app(X65,X66))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f123,f85]) ).
fof(f2805,plain,
! [X62,X63,X61] :
( ~ ssList(X61)
| hd(app(cons(X62,X63),X61)) = hd(cons(X62,X63))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(subsumption_resolution,[],[f2798,f98]) ).
fof(f2798,plain,
! [X62,X63,X61] :
( ~ ssList(X61)
| nil = cons(X62,X63)
| hd(app(cons(X62,X63),X61)) = hd(cons(X62,X63))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f123,f86]) ).
fof(f2797,plain,
! [X58,X59,X60] :
( ~ ssList(X58)
| nil = skaf42(X59,X60)
| hd(app(skaf42(X59,X60),X58)) = hd(skaf42(X59,X60)) ),
inference(resolution,[],[f123,f53]) ).
fof(f2796,plain,
! [X56,X57,X55] :
( ~ ssList(X55)
| nil = skaf43(X56,X57)
| hd(app(skaf43(X56,X57),X55)) = hd(skaf43(X56,X57)) ),
inference(resolution,[],[f123,f52]) ).
fof(f2795,plain,
! [X54,X52,X53] :
( ~ ssList(X52)
| nil = skaf45(X53,X54)
| hd(app(skaf45(X53,X54),X52)) = hd(skaf45(X53,X54)) ),
inference(resolution,[],[f123,f51]) ).
fof(f2794,plain,
! [X50,X51,X49] :
( ~ ssList(X49)
| nil = skaf46(X50,X51)
| hd(app(skaf46(X50,X51),X49)) = hd(skaf46(X50,X51)) ),
inference(resolution,[],[f123,f50]) ).
fof(f2793,plain,
! [X48,X46,X47] :
( ~ ssList(X46)
| nil = skaf47(X47,X48)
| hd(app(skaf47(X47,X48),X46)) = hd(skaf47(X47,X48)) ),
inference(resolution,[],[f123,f49]) ).
fof(f2792,plain,
! [X44,X45,X43] :
( ~ ssList(X43)
| nil = skaf48(X44,X45)
| hd(app(skaf48(X44,X45),X43)) = hd(skaf48(X44,X45)) ),
inference(resolution,[],[f123,f48]) ).
fof(f2791,plain,
! [X41,X42] :
( ~ ssList(X41)
| nil = skaf51(X42)
| hd(app(skaf51(X42),X41)) = hd(skaf51(X42)) ),
inference(resolution,[],[f123,f44]) ).
fof(f2790,plain,
! [X40,X39] :
( ~ ssList(X39)
| nil = skaf52(X40)
| hd(app(skaf52(X40),X39)) = hd(skaf52(X40)) ),
inference(resolution,[],[f123,f43]) ).
fof(f2789,plain,
! [X38,X37] :
( ~ ssList(X37)
| nil = skaf53(X38)
| hd(app(skaf53(X38),X37)) = hd(skaf53(X38)) ),
inference(resolution,[],[f123,f42]) ).
fof(f2788,plain,
! [X36,X35] :
( ~ ssList(X35)
| nil = skaf56(X36)
| hd(app(skaf56(X36),X35)) = hd(skaf56(X36)) ),
inference(resolution,[],[f123,f39]) ).
fof(f2787,plain,
! [X34,X33] :
( ~ ssList(X33)
| nil = skaf57(X34)
| hd(app(skaf57(X34),X33)) = hd(skaf57(X34)) ),
inference(resolution,[],[f123,f38]) ).
fof(f2786,plain,
! [X31,X32] :
( ~ ssList(X31)
| nil = skaf58(X32)
| hd(app(skaf58(X32),X31)) = hd(skaf58(X32)) ),
inference(resolution,[],[f123,f37]) ).
fof(f2785,plain,
! [X29,X30] :
( ~ ssList(X29)
| nil = skaf61(X30)
| hd(app(skaf61(X30),X29)) = hd(skaf61(X30)) ),
inference(resolution,[],[f123,f34]) ).
fof(f2784,plain,
! [X28,X27] :
( ~ ssList(X27)
| nil = skaf62(X28)
| hd(app(skaf62(X28),X27)) = hd(skaf62(X28)) ),
inference(resolution,[],[f123,f33]) ).
fof(f2783,plain,
! [X26,X25] :
( ~ ssList(X25)
| nil = skaf63(X26)
| hd(app(skaf63(X26),X25)) = hd(skaf63(X26)) ),
inference(resolution,[],[f123,f32]) ).
fof(f2782,plain,
! [X24,X23] :
( ~ ssList(X23)
| nil = skaf66(X24)
| hd(app(skaf66(X24),X23)) = hd(skaf66(X24)) ),
inference(resolution,[],[f123,f29]) ).
fof(f2781,plain,
! [X21,X22] :
( ~ ssList(X21)
| nil = skaf67(X22)
| hd(app(skaf67(X22),X21)) = hd(skaf67(X22)) ),
inference(resolution,[],[f123,f28]) ).
fof(f2780,plain,
! [X19,X20] :
( ~ ssList(X19)
| nil = skaf68(X20)
| hd(app(skaf68(X20),X19)) = hd(skaf68(X20)) ),
inference(resolution,[],[f123,f27]) ).
fof(f2779,plain,
! [X18,X17] :
( ~ ssList(X17)
| nil = skaf71(X18)
| hd(app(skaf71(X18),X17)) = hd(skaf71(X18)) ),
inference(resolution,[],[f123,f24]) ).
fof(f2778,plain,
! [X16,X15] :
( ~ ssList(X15)
| nil = skaf72(X16)
| hd(app(skaf72(X16),X15)) = hd(skaf72(X16)) ),
inference(resolution,[],[f123,f23]) ).
fof(f2777,plain,
! [X14,X13] :
( ~ ssList(X13)
| nil = skaf73(X14)
| hd(app(skaf73(X14),X13)) = hd(skaf73(X14)) ),
inference(resolution,[],[f123,f22]) ).
fof(f2776,plain,
! [X11,X12] :
( ~ ssList(X11)
| nil = skaf75(X12)
| hd(app(skaf75(X12),X11)) = hd(skaf75(X12)) ),
inference(resolution,[],[f123,f20]) ).
fof(f2775,plain,
! [X10,X9] :
( ~ ssList(X9)
| nil = skaf76(X10)
| hd(app(skaf76(X10),X9)) = hd(skaf76(X10)) ),
inference(resolution,[],[f123,f19]) ).
fof(f2774,plain,
! [X8,X7] :
( ~ ssList(X7)
| nil = skaf77(X8)
| hd(app(skaf77(X8),X7)) = hd(skaf77(X8)) ),
inference(resolution,[],[f123,f18]) ).
fof(f2773,plain,
! [X6,X5] :
( ~ ssList(X5)
| nil = skaf80(X6)
| hd(app(skaf80(X6),X5)) = hd(skaf80(X6)) ),
inference(resolution,[],[f123,f15]) ).
fof(f2772,plain,
! [X3,X4] :
( ~ ssList(X3)
| nil = skaf81(X4)
| hd(app(skaf81(X4),X3)) = hd(skaf81(X4)) ),
inference(resolution,[],[f123,f14]) ).
fof(f2771,plain,
! [X2,X1] :
( ~ ssList(X1)
| nil = skaf82(X2)
| hd(app(skaf82(X2),X1)) = hd(skaf82(X2)) ),
inference(resolution,[],[f123,f13]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause123) ).
fof(f2767,plain,
( ~ strictorderedP(sk2)
| spl0_43 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f1222,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf69(X35),skaf56(X36))),
inference(resolution,[],[f568,f39]) ).
fof(f1221,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf69(X33),skaf57(X34))),
inference(resolution,[],[f568,f38]) ).
fof(f1220,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf69(X31),skaf58(X32))),
inference(resolution,[],[f568,f37]) ).
fof(f1219,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf69(X29),skaf61(X30))),
inference(resolution,[],[f568,f34]) ).
fof(f1218,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf69(X27),skaf62(X28))),
inference(resolution,[],[f568,f33]) ).
fof(f1217,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf69(X25),skaf63(X26))),
inference(resolution,[],[f568,f32]) ).
fof(f1216,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf69(X23),skaf66(X24))),
inference(resolution,[],[f568,f29]) ).
fof(f1215,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf69(X21),skaf67(X22))),
inference(resolution,[],[f568,f28]) ).
fof(f1214,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf69(X19),skaf68(X20))),
inference(resolution,[],[f568,f27]) ).
fof(f1213,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf69(X17),skaf71(X18))),
inference(resolution,[],[f568,f24]) ).
fof(f1212,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf69(X15),skaf72(X16))),
inference(resolution,[],[f568,f23]) ).
fof(f1211,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf69(X13),skaf73(X14))),
inference(resolution,[],[f568,f22]) ).
fof(f1210,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf69(X11),skaf75(X12))),
inference(resolution,[],[f568,f20]) ).
fof(f1209,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf69(X9),skaf76(X10))),
inference(resolution,[],[f568,f19]) ).
fof(f1208,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf69(X7),skaf77(X8))),
inference(resolution,[],[f568,f18]) ).
fof(f1207,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf69(X5),skaf80(X6))),
inference(resolution,[],[f568,f15]) ).
fof(f1206,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf69(X3),skaf81(X4))),
inference(resolution,[],[f568,f14]) ).
fof(f1205,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf69(X1),skaf82(X2))),
inference(resolution,[],[f568,f13]) ).
fof(f1183,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf70(X41),skaf51(X42))),
inference(resolution,[],[f567,f44]) ).
fof(f1182,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf70(X39),skaf52(X40))),
inference(resolution,[],[f567,f43]) ).
fof(f2168,plain,
! [X37] :
( cyclefreeP(tl(X37))
| skaf49(tl(X37)) = skaf50(tl(X37))
| nil = X37
| ~ ssList(X37) ),
inference(resolution,[],[f2134,f75]) ).
fof(f2167,plain,
! [X36,X35] :
( cyclefreeP(app(X35,X36))
| skaf49(app(X35,X36)) = skaf50(app(X35,X36))
| ~ ssList(X35)
| ~ ssList(X36) ),
inference(resolution,[],[f2134,f85]) ).
fof(f2166,plain,
! [X34,X33] :
( cyclefreeP(cons(X33,X34))
| skaf49(cons(X33,X34)) = skaf50(cons(X33,X34))
| ~ ssList(X34)
| ~ ssItem(X33) ),
inference(resolution,[],[f2134,f86]) ).
fof(f2165,plain,
! [X31,X32] :
( cyclefreeP(skaf42(X31,X32))
| skaf49(skaf42(X31,X32)) = skaf50(skaf42(X31,X32)) ),
inference(resolution,[],[f2134,f53]) ).
fof(f2164,plain,
! [X29,X30] :
( cyclefreeP(skaf43(X29,X30))
| skaf49(skaf43(X29,X30)) = skaf50(skaf43(X29,X30)) ),
inference(resolution,[],[f2134,f52]) ).
fof(f2163,plain,
! [X28,X27] :
( cyclefreeP(skaf45(X27,X28))
| skaf49(skaf45(X27,X28)) = skaf50(skaf45(X27,X28)) ),
inference(resolution,[],[f2134,f51]) ).
fof(f2162,plain,
! [X26,X25] :
( cyclefreeP(skaf46(X25,X26))
| skaf49(skaf46(X25,X26)) = skaf50(skaf46(X25,X26)) ),
inference(resolution,[],[f2134,f50]) ).
fof(f2161,plain,
! [X24,X23] :
( cyclefreeP(skaf47(X23,X24))
| skaf49(skaf47(X23,X24)) = skaf50(skaf47(X23,X24)) ),
inference(resolution,[],[f2134,f49]) ).
fof(f2160,plain,
! [X21,X22] :
( cyclefreeP(skaf48(X21,X22))
| skaf49(skaf48(X21,X22)) = skaf50(skaf48(X21,X22)) ),
inference(resolution,[],[f2134,f48]) ).
fof(f2159,plain,
! [X20] :
( cyclefreeP(skaf51(X20))
| skaf49(skaf51(X20)) = skaf50(skaf51(X20)) ),
inference(resolution,[],[f2134,f44]) ).
fof(f2158,plain,
! [X19] :
( cyclefreeP(skaf52(X19))
| skaf49(skaf52(X19)) = skaf50(skaf52(X19)) ),
inference(resolution,[],[f2134,f43]) ).
fof(f2157,plain,
! [X18] :
( cyclefreeP(skaf53(X18))
| skaf49(skaf53(X18)) = skaf50(skaf53(X18)) ),
inference(resolution,[],[f2134,f42]) ).
fof(f2156,plain,
! [X17] :
( cyclefreeP(skaf56(X17))
| skaf49(skaf56(X17)) = skaf50(skaf56(X17)) ),
inference(resolution,[],[f2134,f39]) ).
fof(f2155,plain,
! [X16] :
( cyclefreeP(skaf57(X16))
| skaf49(skaf57(X16)) = skaf50(skaf57(X16)) ),
inference(resolution,[],[f2134,f38]) ).
fof(f2154,plain,
! [X15] :
( cyclefreeP(skaf58(X15))
| skaf49(skaf58(X15)) = skaf50(skaf58(X15)) ),
inference(resolution,[],[f2134,f37]) ).
fof(f2153,plain,
! [X14] :
( cyclefreeP(skaf61(X14))
| skaf49(skaf61(X14)) = skaf50(skaf61(X14)) ),
inference(resolution,[],[f2134,f34]) ).
fof(f2152,plain,
! [X13] :
( cyclefreeP(skaf62(X13))
| skaf49(skaf62(X13)) = skaf50(skaf62(X13)) ),
inference(resolution,[],[f2134,f33]) ).
fof(f2151,plain,
! [X12] :
( cyclefreeP(skaf63(X12))
| skaf49(skaf63(X12)) = skaf50(skaf63(X12)) ),
inference(resolution,[],[f2134,f32]) ).
fof(f2150,plain,
! [X11] :
( cyclefreeP(skaf66(X11))
| skaf49(skaf66(X11)) = skaf50(skaf66(X11)) ),
inference(resolution,[],[f2134,f29]) ).
fof(f2149,plain,
! [X10] :
( cyclefreeP(skaf67(X10))
| skaf49(skaf67(X10)) = skaf50(skaf67(X10)) ),
inference(resolution,[],[f2134,f28]) ).
fof(f2148,plain,
! [X9] :
( cyclefreeP(skaf68(X9))
| skaf49(skaf68(X9)) = skaf50(skaf68(X9)) ),
inference(resolution,[],[f2134,f27]) ).
fof(f2147,plain,
! [X8] :
( cyclefreeP(skaf71(X8))
| skaf49(skaf71(X8)) = skaf50(skaf71(X8)) ),
inference(resolution,[],[f2134,f24]) ).
fof(f2146,plain,
! [X7] :
( cyclefreeP(skaf72(X7))
| skaf49(skaf72(X7)) = skaf50(skaf72(X7)) ),
inference(resolution,[],[f2134,f23]) ).
fof(f2145,plain,
! [X6] :
( cyclefreeP(skaf73(X6))
| skaf49(skaf73(X6)) = skaf50(skaf73(X6)) ),
inference(resolution,[],[f2134,f22]) ).
fof(f2144,plain,
! [X5] :
( cyclefreeP(skaf75(X5))
| skaf49(skaf75(X5)) = skaf50(skaf75(X5)) ),
inference(resolution,[],[f2134,f20]) ).
fof(f2143,plain,
! [X4] :
( cyclefreeP(skaf76(X4))
| skaf49(skaf76(X4)) = skaf50(skaf76(X4)) ),
inference(resolution,[],[f2134,f19]) ).
fof(f2142,plain,
! [X3] :
( cyclefreeP(skaf77(X3))
| skaf49(skaf77(X3)) = skaf50(skaf77(X3)) ),
inference(resolution,[],[f2134,f18]) ).
fof(f2141,plain,
! [X2] :
( cyclefreeP(skaf80(X2))
| skaf49(skaf80(X2)) = skaf50(skaf80(X2)) ),
inference(resolution,[],[f2134,f15]) ).
fof(f2140,plain,
! [X1] :
( cyclefreeP(skaf81(X1))
| skaf49(skaf81(X1)) = skaf50(skaf81(X1)) ),
inference(resolution,[],[f2134,f14]) ).
fof(f2139,plain,
! [X0] :
( cyclefreeP(skaf82(X0))
| skaf49(skaf82(X0)) = skaf50(skaf82(X0)) ),
inference(resolution,[],[f2134,f13]) ).
fof(f2134,plain,
! [X3] :
( ~ ssList(X3)
| cyclefreeP(X3)
| skaf49(X3) = skaf50(X3) ),
inference(subsumption_resolution,[],[f2133,f88]) ).
fof(f2133,plain,
! [X3] :
( ~ leq(skaf49(X3),skaf50(X3))
| skaf49(X3) = skaf50(X3)
| cyclefreeP(X3)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f2132,f45]) ).
fof(f2132,plain,
! [X3] :
( ~ ssItem(skaf50(X3))
| ~ leq(skaf49(X3),skaf50(X3))
| skaf49(X3) = skaf50(X3)
| cyclefreeP(X3)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f2128,f46]) ).
fof(f2128,plain,
! [X3] :
( ~ ssItem(skaf49(X3))
| ~ ssItem(skaf50(X3))
| ~ leq(skaf49(X3),skaf50(X3))
| skaf49(X3) = skaf50(X3)
| cyclefreeP(X3)
| ~ ssList(X3) ),
inference(resolution,[],[f130,f87]) ).
fof(f2137,plain,
! [X4] :
( skaf50(X4) = skaf49(X4)
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(subsumption_resolution,[],[f2136,f87]) ).
fof(f2136,plain,
! [X4] :
( ~ leq(skaf50(X4),skaf49(X4))
| skaf50(X4) = skaf49(X4)
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(subsumption_resolution,[],[f2135,f46]) ).
fof(f2135,plain,
! [X4] :
( ~ ssItem(skaf49(X4))
| ~ leq(skaf50(X4),skaf49(X4))
| skaf50(X4) = skaf49(X4)
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(subsumption_resolution,[],[f2129,f45]) ).
fof(f2129,plain,
! [X4] :
( ~ ssItem(skaf50(X4))
| ~ ssItem(skaf49(X4))
| ~ leq(skaf50(X4),skaf49(X4))
| skaf50(X4) = skaf49(X4)
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(resolution,[],[f130,f88]) ).
fof(f2130,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(duplicate_literal_removal,[],[f2127]) ).
fof(f2127,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| X1 = X2
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ ssItem(X2) ),
inference(resolution,[],[f130,f107]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause130) ).
fof(f1181,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf70(X37),skaf53(X38))),
inference(resolution,[],[f567,f42]) ).
fof(f1180,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf70(X35),skaf56(X36))),
inference(resolution,[],[f567,f39]) ).
fof(f1179,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf70(X33),skaf57(X34))),
inference(resolution,[],[f567,f38]) ).
fof(f1178,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf70(X31),skaf58(X32))),
inference(resolution,[],[f567,f37]) ).
fof(f1177,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf70(X29),skaf61(X30))),
inference(resolution,[],[f567,f34]) ).
fof(f1176,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf70(X27),skaf62(X28))),
inference(resolution,[],[f567,f33]) ).
fof(f1175,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf70(X25),skaf63(X26))),
inference(resolution,[],[f567,f32]) ).
fof(f1174,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf70(X23),skaf66(X24))),
inference(resolution,[],[f567,f29]) ).
fof(f1173,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf70(X21),skaf67(X22))),
inference(resolution,[],[f567,f28]) ).
fof(f1172,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf70(X19),skaf68(X20))),
inference(resolution,[],[f567,f27]) ).
fof(f1171,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf70(X17),skaf71(X18))),
inference(resolution,[],[f567,f24]) ).
fof(f1170,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf70(X15),skaf72(X16))),
inference(resolution,[],[f567,f23]) ).
fof(f1169,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf70(X13),skaf73(X14))),
inference(resolution,[],[f567,f22]) ).
fof(f1168,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf70(X11),skaf75(X12))),
inference(resolution,[],[f567,f20]) ).
fof(f1167,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf70(X9),skaf76(X10))),
inference(resolution,[],[f567,f19]) ).
fof(f1166,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf70(X7),skaf77(X8))),
inference(resolution,[],[f567,f18]) ).
fof(f1165,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf70(X5),skaf80(X6))),
inference(resolution,[],[f567,f15]) ).
fof(f1164,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf70(X3),skaf81(X4))),
inference(resolution,[],[f567,f14]) ).
fof(f1163,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf70(X1),skaf82(X2))),
inference(resolution,[],[f567,f13]) ).
fof(f1141,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf74(X41),skaf51(X42))),
inference(resolution,[],[f566,f44]) ).
fof(f1140,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf74(X39),skaf52(X40))),
inference(resolution,[],[f566,f43]) ).
fof(f1139,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf74(X37),skaf53(X38))),
inference(resolution,[],[f566,f42]) ).
fof(f1138,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf74(X35),skaf56(X36))),
inference(resolution,[],[f566,f39]) ).
fof(f1137,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf74(X33),skaf57(X34))),
inference(resolution,[],[f566,f38]) ).
fof(f1136,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf74(X31),skaf58(X32))),
inference(resolution,[],[f566,f37]) ).
fof(f1135,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf74(X29),skaf61(X30))),
inference(resolution,[],[f566,f34]) ).
fof(f1134,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf74(X27),skaf62(X28))),
inference(resolution,[],[f566,f33]) ).
fof(f1133,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf74(X25),skaf63(X26))),
inference(resolution,[],[f566,f32]) ).
fof(f1132,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf74(X23),skaf66(X24))),
inference(resolution,[],[f566,f29]) ).
fof(f1131,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf74(X21),skaf67(X22))),
inference(resolution,[],[f566,f28]) ).
fof(f1130,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf74(X19),skaf68(X20))),
inference(resolution,[],[f566,f27]) ).
fof(f1129,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf74(X17),skaf71(X18))),
inference(resolution,[],[f566,f24]) ).
fof(f1128,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf74(X15),skaf72(X16))),
inference(resolution,[],[f566,f23]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause127) ).
fof(f1127,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf74(X13),skaf73(X14))),
inference(resolution,[],[f566,f22]) ).
fof(f1126,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf74(X11),skaf75(X12))),
inference(resolution,[],[f566,f20]) ).
fof(f1125,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf74(X9),skaf76(X10))),
inference(resolution,[],[f566,f19]) ).
fof(f1124,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf74(X7),skaf77(X8))),
inference(resolution,[],[f566,f18]) ).
fof(f1123,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf74(X5),skaf80(X6))),
inference(resolution,[],[f566,f15]) ).
fof(f1122,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf74(X3),skaf81(X4))),
inference(resolution,[],[f566,f14]) ).
fof(f1121,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf74(X1),skaf82(X2))),
inference(resolution,[],[f566,f13]) ).
fof(f1096,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf78(X41),skaf51(X42))),
inference(resolution,[],[f565,f44]) ).
fof(f1095,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf78(X39),skaf52(X40))),
inference(resolution,[],[f565,f43]) ).
fof(f1094,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf78(X37),skaf53(X38))),
inference(resolution,[],[f565,f42]) ).
fof(f1093,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf78(X35),skaf56(X36))),
inference(resolution,[],[f565,f39]) ).
fof(f2019,plain,
! [X2] :
( skaf50(X2) = skaf49(X2)
| cyclefreeP(X2)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f2018,f919]) ).
fof(f2018,plain,
! [X2] :
( ~ geq(skaf49(X2),skaf50(X2))
| skaf50(X2) = skaf49(X2)
| cyclefreeP(X2)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f2017,f45]) ).
fof(f2017,plain,
! [X2] :
( ~ ssItem(skaf50(X2))
| ~ geq(skaf49(X2),skaf50(X2))
| skaf50(X2) = skaf49(X2)
| cyclefreeP(X2)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f2012,f46]) ).
fof(f2012,plain,
! [X2] :
( ~ ssItem(skaf49(X2))
| ~ ssItem(skaf50(X2))
| ~ geq(skaf49(X2),skaf50(X2))
| skaf50(X2) = skaf49(X2)
| cyclefreeP(X2)
| ~ ssList(X2) ),
inference(resolution,[],[f126,f921]) ).
fof(f2016,plain,
! [X1] :
( skaf50(X1) = skaf49(X1)
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2015,f921]) ).
fof(f2015,plain,
! [X1] :
( ~ geq(skaf50(X1),skaf49(X1))
| skaf50(X1) = skaf49(X1)
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2014,f46]) ).
fof(f2014,plain,
! [X1] :
( ~ ssItem(skaf49(X1))
| ~ geq(skaf50(X1),skaf49(X1))
| skaf50(X1) = skaf49(X1)
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2011,f45]) ).
fof(f2011,plain,
! [X1] :
( ~ ssItem(skaf50(X1))
| ~ ssItem(skaf49(X1))
| ~ geq(skaf50(X1),skaf49(X1))
| skaf50(X1) = skaf49(X1)
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f126,f919]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause126) ).
fof(f1092,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf78(X33),skaf57(X34))),
inference(resolution,[],[f565,f38]) ).
fof(f1091,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf78(X31),skaf58(X32))),
inference(resolution,[],[f565,f37]) ).
fof(f1090,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf78(X29),skaf61(X30))),
inference(resolution,[],[f565,f34]) ).
fof(f1089,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf78(X27),skaf62(X28))),
inference(resolution,[],[f565,f33]) ).
fof(f1088,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf78(X25),skaf63(X26))),
inference(resolution,[],[f565,f32]) ).
fof(f1087,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf78(X23),skaf66(X24))),
inference(resolution,[],[f565,f29]) ).
fof(f1086,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf78(X21),skaf67(X22))),
inference(resolution,[],[f565,f28]) ).
fof(f1085,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf78(X19),skaf68(X20))),
inference(resolution,[],[f565,f27]) ).
fof(f1084,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf78(X17),skaf71(X18))),
inference(resolution,[],[f565,f24]) ).
fof(f1083,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf78(X15),skaf72(X16))),
inference(resolution,[],[f565,f23]) ).
fof(f1082,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf78(X13),skaf73(X14))),
inference(resolution,[],[f565,f22]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause125) ).
fof(f1081,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf78(X11),skaf75(X12))),
inference(resolution,[],[f565,f20]) ).
fof(f1080,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf78(X9),skaf76(X10))),
inference(resolution,[],[f565,f19]) ).
fof(f1079,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf78(X7),skaf77(X8))),
inference(resolution,[],[f565,f18]) ).
fof(f1078,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf78(X5),skaf80(X6))),
inference(resolution,[],[f565,f15]) ).
fof(f1077,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf78(X3),skaf81(X4))),
inference(resolution,[],[f565,f14]) ).
fof(f1076,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf78(X1),skaf82(X2))),
inference(resolution,[],[f565,f13]) ).
fof(f1054,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf79(X41),skaf51(X42))),
inference(resolution,[],[f564,f44]) ).
fof(f1053,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf79(X39),skaf52(X40))),
inference(resolution,[],[f564,f43]) ).
fof(f1052,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf79(X37),skaf53(X38))),
inference(resolution,[],[f564,f42]) ).
fof(f1051,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf79(X35),skaf56(X36))),
inference(resolution,[],[f564,f39]) ).
fof(f1050,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf79(X33),skaf57(X34))),
inference(resolution,[],[f564,f38]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause124) ).
fof(f1049,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf79(X31),skaf58(X32))),
inference(resolution,[],[f564,f37]) ).
fof(f1048,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf79(X29),skaf61(X30))),
inference(resolution,[],[f564,f34]) ).
fof(f1047,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf79(X27),skaf62(X28))),
inference(resolution,[],[f564,f33]) ).
fof(f1046,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf79(X25),skaf63(X26))),
inference(resolution,[],[f564,f32]) ).
fof(f1045,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf79(X23),skaf66(X24))),
inference(resolution,[],[f564,f29]) ).
fof(f1044,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf79(X21),skaf67(X22))),
inference(resolution,[],[f564,f28]) ).
fof(f1043,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf79(X19),skaf68(X20))),
inference(resolution,[],[f564,f27]) ).
fof(f1042,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf79(X17),skaf71(X18))),
inference(resolution,[],[f564,f24]) ).
fof(f1041,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf79(X15),skaf72(X16))),
inference(resolution,[],[f564,f23]) ).
fof(f1040,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf79(X13),skaf73(X14))),
inference(resolution,[],[f564,f22]) ).
fof(f1039,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf79(X11),skaf75(X12))),
inference(resolution,[],[f564,f20]) ).
fof(f1038,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf79(X9),skaf76(X10))),
inference(resolution,[],[f564,f19]) ).
fof(f1037,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf79(X7),skaf77(X8))),
inference(resolution,[],[f564,f18]) ).
fof(f1036,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf79(X5),skaf80(X6))),
inference(resolution,[],[f564,f15]) ).
fof(f1035,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf79(X3),skaf81(X4))),
inference(resolution,[],[f564,f14]) ).
fof(f1034,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf79(X1),skaf82(X2))),
inference(resolution,[],[f564,f13]) ).
fof(f1009,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf83(X41),skaf51(X42))),
inference(resolution,[],[f563,f44]) ).
fof(f1008,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf83(X39),skaf52(X40))),
inference(resolution,[],[f563,f43]) ).
fof(f1007,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf83(X37),skaf53(X38))),
inference(resolution,[],[f563,f42]) ).
fof(f1006,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf83(X35),skaf56(X36))),
inference(resolution,[],[f563,f39]) ).
fof(f1005,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf83(X33),skaf57(X34))),
inference(resolution,[],[f563,f38]) ).
fof(f1004,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf83(X31),skaf58(X32))),
inference(resolution,[],[f563,f37]) ).
fof(f1913,plain,
! [X9] :
( ~ leq(skaf59(X9),skaf60(X9))
| skaf60(X9) = skaf59(X9)
| strictorderP(X9)
| ~ ssList(X9) ),
inference(subsumption_resolution,[],[f1912,f35]) ).
fof(f1912,plain,
! [X9] :
( ~ leq(skaf59(X9),skaf60(X9))
| skaf60(X9) = skaf59(X9)
| ~ ssItem(skaf60(X9))
| strictorderP(X9)
| ~ ssList(X9) ),
inference(subsumption_resolution,[],[f1902,f36]) ).
fof(f1902,plain,
! [X9] :
( ~ ssItem(skaf59(X9))
| ~ leq(skaf59(X9),skaf60(X9))
| skaf60(X9) = skaf59(X9)
| ~ ssItem(skaf60(X9))
| strictorderP(X9)
| ~ ssList(X9) ),
inference(resolution,[],[f121,f93]) ).
fof(f1911,plain,
! [X8] :
( ~ leq(skaf60(X8),skaf59(X8))
| skaf60(X8) = skaf59(X8)
| strictorderP(X8)
| ~ ssList(X8) ),
inference(subsumption_resolution,[],[f1910,f36]) ).
fof(f1910,plain,
! [X8] :
( ~ leq(skaf60(X8),skaf59(X8))
| skaf60(X8) = skaf59(X8)
| ~ ssItem(skaf59(X8))
| strictorderP(X8)
| ~ ssList(X8) ),
inference(subsumption_resolution,[],[f1901,f35]) ).
fof(f1901,plain,
! [X8] :
( ~ ssItem(skaf60(X8))
| ~ leq(skaf60(X8),skaf59(X8))
| skaf60(X8) = skaf59(X8)
| ~ ssItem(skaf59(X8))
| strictorderP(X8)
| ~ ssList(X8) ),
inference(resolution,[],[f121,f92]) ).
fof(f1909,plain,
! [X7] :
( ~ leq(skaf69(X7),skaf70(X7))
| skaf70(X7) = skaf69(X7)
| strictorderedP(X7)
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f1908,f25]) ).
fof(f1908,plain,
! [X7] :
( ~ leq(skaf69(X7),skaf70(X7))
| skaf70(X7) = skaf69(X7)
| ~ ssItem(skaf70(X7))
| strictorderedP(X7)
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f1900,f26]) ).
fof(f1900,plain,
! [X7] :
( ~ ssItem(skaf69(X7))
| ~ leq(skaf69(X7),skaf70(X7))
| skaf70(X7) = skaf69(X7)
| ~ ssItem(skaf70(X7))
| strictorderedP(X7)
| ~ ssList(X7) ),
inference(resolution,[],[f121,f90]) ).
fof(f1907,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ lt(X2,X1) ),
inference(subsumption_resolution,[],[f1905,f111]) ).
fof(f1905,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ leq(X1,X2)
| X1 = X2
| ~ ssItem(X2)
| ~ lt(X2,X1) ),
inference(duplicate_literal_removal,[],[f1897]) ).
fof(f1897,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ leq(X1,X2)
| X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ lt(X2,X1) ),
inference(resolution,[],[f121,f114]) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause121) ).
fof(f1003,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf83(X29),skaf61(X30))),
inference(resolution,[],[f563,f34]) ).
fof(f1002,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf83(X27),skaf62(X28))),
inference(resolution,[],[f563,f33]) ).
fof(f1001,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf83(X25),skaf63(X26))),
inference(resolution,[],[f563,f32]) ).
fof(f1000,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf83(X23),skaf66(X24))),
inference(resolution,[],[f563,f29]) ).
fof(f999,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf83(X21),skaf67(X22))),
inference(resolution,[],[f563,f28]) ).
fof(f998,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf83(X19),skaf68(X20))),
inference(resolution,[],[f563,f27]) ).
fof(f997,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf83(X17),skaf71(X18))),
inference(resolution,[],[f563,f24]) ).
fof(f996,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf83(X15),skaf72(X16))),
inference(resolution,[],[f563,f23]) ).
fof(f995,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf83(X13),skaf73(X14))),
inference(resolution,[],[f563,f22]) ).
fof(f994,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf83(X11),skaf75(X12))),
inference(resolution,[],[f563,f20]) ).
fof(f993,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf83(X9),skaf76(X10))),
inference(resolution,[],[f563,f19]) ).
fof(f1873,plain,
! [X32,X33] :
( ~ ssList(X32)
| cons(hd(X33),X32) = app(cons(hd(X33),nil),X32)
| nil = X33
| ~ ssList(X33) ),
inference(resolution,[],[f120,f76]) ).
fof(f1872,plain,
! [X31,X30] :
( ~ ssList(X30)
| cons(skaf44(X31),X30) = app(cons(skaf44(X31),nil),X30) ),
inference(resolution,[],[f120,f47]) ).
fof(f1871,plain,
! [X28,X29] :
( ~ ssList(X28)
| cons(skaf49(X29),X28) = app(cons(skaf49(X29),nil),X28) ),
inference(resolution,[],[f120,f46]) ).
fof(f1870,plain,
! [X26,X27] :
( ~ ssList(X26)
| cons(skaf50(X27),X26) = app(cons(skaf50(X27),nil),X26) ),
inference(resolution,[],[f120,f45]) ).
fof(f1869,plain,
! [X24,X25] :
( ~ ssList(X24)
| cons(skaf54(X25),X24) = app(cons(skaf54(X25),nil),X24) ),
inference(resolution,[],[f120,f41]) ).
fof(f1868,plain,
! [X22,X23] :
( ~ ssList(X22)
| cons(skaf55(X23),X22) = app(cons(skaf55(X23),nil),X22) ),
inference(resolution,[],[f120,f40]) ).
fof(f1867,plain,
! [X21,X20] :
( ~ ssList(X20)
| cons(skaf59(X21),X20) = app(cons(skaf59(X21),nil),X20) ),
inference(resolution,[],[f120,f36]) ).
fof(f1866,plain,
! [X18,X19] :
( ~ ssList(X18)
| cons(skaf60(X19),X18) = app(cons(skaf60(X19),nil),X18) ),
inference(resolution,[],[f120,f35]) ).
fof(f1865,plain,
! [X16,X17] :
( ~ ssList(X16)
| cons(skaf64(X17),X16) = app(cons(skaf64(X17),nil),X16) ),
inference(resolution,[],[f120,f31]) ).
fof(f1864,plain,
! [X14,X15] :
( ~ ssList(X14)
| cons(skaf65(X15),X14) = app(cons(skaf65(X15),nil),X14) ),
inference(resolution,[],[f120,f30]) ).
fof(f1863,plain,
! [X12,X13] :
( ~ ssList(X12)
| cons(skaf69(X13),X12) = app(cons(skaf69(X13),nil),X12) ),
inference(resolution,[],[f120,f26]) ).
fof(f1862,plain,
! [X10,X11] :
( ~ ssList(X10)
| cons(skaf70(X11),X10) = app(cons(skaf70(X11),nil),X10) ),
inference(resolution,[],[f120,f25]) ).
fof(f1861,plain,
! [X8,X9] :
( ~ ssList(X8)
| cons(skaf74(X9),X8) = app(cons(skaf74(X9),nil),X8) ),
inference(resolution,[],[f120,f21]) ).
fof(f1860,plain,
! [X6,X7] :
( ~ ssList(X6)
| cons(skaf78(X7),X6) = app(cons(skaf78(X7),nil),X6) ),
inference(resolution,[],[f120,f17]) ).
fof(f1859,plain,
! [X4,X5] :
( ~ ssList(X4)
| cons(skaf79(X5),X4) = app(cons(skaf79(X5),nil),X4) ),
inference(resolution,[],[f120,f16]) ).
fof(f1858,plain,
! [X2,X3] :
( ~ ssList(X2)
| cons(skaf83(X3),X2) = app(cons(skaf83(X3),nil),X2) ),
inference(resolution,[],[f120,f12]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause120) ).
fof(f992,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf83(X7),skaf77(X8))),
inference(resolution,[],[f563,f18]) ).
fof(f991,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf83(X5),skaf80(X6))),
inference(resolution,[],[f563,f15]) ).
fof(f990,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf83(X3),skaf81(X4))),
inference(resolution,[],[f563,f14]) ).
fof(f921,plain,
! [X4] :
( geq(skaf50(X4),skaf49(X4))
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(subsumption_resolution,[],[f920,f46]) ).
fof(f920,plain,
! [X4] :
( ~ ssItem(skaf49(X4))
| geq(skaf50(X4),skaf49(X4))
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(subsumption_resolution,[],[f915,f45]) ).
fof(f915,plain,
! [X4] :
( ~ ssItem(skaf50(X4))
| ~ ssItem(skaf49(X4))
| geq(skaf50(X4),skaf49(X4))
| cyclefreeP(X4)
| ~ ssList(X4) ),
inference(resolution,[],[f108,f88]) ).
fof(f919,plain,
! [X3] :
( geq(skaf49(X3),skaf50(X3))
| cyclefreeP(X3)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f918,f45]) ).
fof(f918,plain,
! [X3] :
( ~ ssItem(skaf50(X3))
| geq(skaf49(X3),skaf50(X3))
| cyclefreeP(X3)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f914,f46]) ).
fof(f914,plain,
! [X3] :
( ~ ssItem(skaf49(X3))
| ~ ssItem(skaf50(X3))
| geq(skaf49(X3),skaf50(X3))
| cyclefreeP(X3)
| ~ ssList(X3) ),
inference(resolution,[],[f108,f87]) ).
fof(f889,plain,
! [X2] :
( ~ geq(skaf55(X2),skaf54(X2))
| totalorderP(X2)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f888,f41]) ).
fof(f888,plain,
! [X2] :
( ~ geq(skaf55(X2),skaf54(X2))
| ~ ssItem(skaf54(X2))
| totalorderP(X2)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f883,f40]) ).
fof(f883,plain,
! [X2] :
( ~ ssItem(skaf55(X2))
| ~ geq(skaf55(X2),skaf54(X2))
| ~ ssItem(skaf54(X2))
| totalorderP(X2)
| ~ ssList(X2) ),
inference(resolution,[],[f107,f95]) ).
fof(f887,plain,
! [X1] :
( ~ geq(skaf54(X1),skaf55(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f886,f40]) ).
fof(f886,plain,
! [X1] :
( ~ geq(skaf54(X1),skaf55(X1))
| ~ ssItem(skaf55(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f882,f41]) ).
fof(f882,plain,
! [X1] :
( ~ ssItem(skaf54(X1))
| ~ geq(skaf54(X1),skaf55(X1))
| ~ ssItem(skaf55(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f107,f94]) ).
fof(f885,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f884,f31]) ).
fof(f884,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f881,f30]) ).
fof(f881,plain,
! [X0] :
( ~ ssItem(skaf65(X0))
| ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f91]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause119) ).
fof(f1779,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf44(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f577,f75]) ).
fof(f1778,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf44(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f577,f85]) ).
fof(f1777,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf44(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f577,f86]) ).
fof(f1776,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf44(X58),skaf42(X59,X60))),
inference(resolution,[],[f577,f53]) ).
fof(f1775,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf44(X55),skaf43(X56,X57))),
inference(resolution,[],[f577,f52]) ).
fof(f1774,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf44(X52),skaf45(X53,X54))),
inference(resolution,[],[f577,f51]) ).
fof(f1773,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf44(X49),skaf46(X50,X51))),
inference(resolution,[],[f577,f50]) ).
fof(f1772,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf44(X46),skaf47(X47,X48))),
inference(resolution,[],[f577,f49]) ).
fof(f1771,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf44(X43),skaf48(X44,X45))),
inference(resolution,[],[f577,f48]) ).
fof(f1770,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf44(X41),skaf51(X42))),
inference(resolution,[],[f577,f44]) ).
fof(f1769,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf44(X39),skaf52(X40))),
inference(resolution,[],[f577,f43]) ).
fof(f1768,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf44(X37),skaf53(X38))),
inference(resolution,[],[f577,f42]) ).
fof(f1767,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf44(X35),skaf56(X36))),
inference(resolution,[],[f577,f39]) ).
fof(f1766,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf44(X33),skaf57(X34))),
inference(resolution,[],[f577,f38]) ).
fof(f1765,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf44(X31),skaf58(X32))),
inference(resolution,[],[f577,f37]) ).
fof(f1764,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf44(X29),skaf61(X30))),
inference(resolution,[],[f577,f34]) ).
fof(f1763,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf44(X27),skaf62(X28))),
inference(resolution,[],[f577,f33]) ).
fof(f1762,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf44(X25),skaf63(X26))),
inference(resolution,[],[f577,f32]) ).
fof(f1761,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf44(X23),skaf66(X24))),
inference(resolution,[],[f577,f29]) ).
fof(f1760,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf44(X21),skaf67(X22))),
inference(resolution,[],[f577,f28]) ).
fof(f1759,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf44(X19),skaf68(X20))),
inference(resolution,[],[f577,f27]) ).
fof(f1758,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf44(X17),skaf71(X18))),
inference(resolution,[],[f577,f24]) ).
fof(f1757,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf44(X15),skaf72(X16))),
inference(resolution,[],[f577,f23]) ).
fof(f1756,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf44(X13),skaf73(X14))),
inference(resolution,[],[f577,f22]) ).
fof(f1755,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf44(X11),skaf75(X12))),
inference(resolution,[],[f577,f20]) ).
fof(f1754,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf44(X9),skaf76(X10))),
inference(resolution,[],[f577,f19]) ).
fof(f1753,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf44(X7),skaf77(X8))),
inference(resolution,[],[f577,f18]) ).
fof(f1752,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf44(X5),skaf80(X6))),
inference(resolution,[],[f577,f15]) ).
fof(f1751,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf44(X3),skaf81(X4))),
inference(resolution,[],[f577,f14]) ).
fof(f1750,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf44(X1),skaf82(X2))),
inference(resolution,[],[f577,f13]) ).
fof(f577,plain,
! [X31,X30] :
( ~ ssList(X30)
| tl(cons(skaf44(X31),X30)) = X30 ),
inference(resolution,[],[f96,f47]) ).
fof(f1737,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf49(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f576,f75]) ).
fof(f1736,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf49(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f576,f85]) ).
fof(f1735,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf49(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f576,f86]) ).
fof(f1734,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf49(X58),skaf42(X59,X60))),
inference(resolution,[],[f576,f53]) ).
fof(f1733,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf49(X55),skaf43(X56,X57))),
inference(resolution,[],[f576,f52]) ).
fof(f1732,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf49(X52),skaf45(X53,X54))),
inference(resolution,[],[f576,f51]) ).
fof(f1731,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf49(X49),skaf46(X50,X51))),
inference(resolution,[],[f576,f50]) ).
fof(f1730,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf49(X46),skaf47(X47,X48))),
inference(resolution,[],[f576,f49]) ).
fof(f1729,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf49(X43),skaf48(X44,X45))),
inference(resolution,[],[f576,f48]) ).
fof(f1728,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf49(X41),skaf51(X42))),
inference(resolution,[],[f576,f44]) ).
fof(f1727,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf49(X39),skaf52(X40))),
inference(resolution,[],[f576,f43]) ).
fof(f1726,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf49(X37),skaf53(X38))),
inference(resolution,[],[f576,f42]) ).
fof(f1725,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf49(X35),skaf56(X36))),
inference(resolution,[],[f576,f39]) ).
fof(f1724,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf49(X33),skaf57(X34))),
inference(resolution,[],[f576,f38]) ).
fof(f1723,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf49(X31),skaf58(X32))),
inference(resolution,[],[f576,f37]) ).
fof(f1722,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf49(X29),skaf61(X30))),
inference(resolution,[],[f576,f34]) ).
fof(f1721,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf49(X27),skaf62(X28))),
inference(resolution,[],[f576,f33]) ).
fof(f1720,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf49(X25),skaf63(X26))),
inference(resolution,[],[f576,f32]) ).
fof(f1719,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf49(X23),skaf66(X24))),
inference(resolution,[],[f576,f29]) ).
fof(f1718,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf49(X21),skaf67(X22))),
inference(resolution,[],[f576,f28]) ).
fof(f1717,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf49(X19),skaf68(X20))),
inference(resolution,[],[f576,f27]) ).
fof(f1716,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf49(X17),skaf71(X18))),
inference(resolution,[],[f576,f24]) ).
fof(f1715,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf49(X15),skaf72(X16))),
inference(resolution,[],[f576,f23]) ).
fof(f1714,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf49(X13),skaf73(X14))),
inference(resolution,[],[f576,f22]) ).
fof(f1713,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf49(X11),skaf75(X12))),
inference(resolution,[],[f576,f20]) ).
fof(f1712,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf49(X9),skaf76(X10))),
inference(resolution,[],[f576,f19]) ).
fof(f1711,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf49(X7),skaf77(X8))),
inference(resolution,[],[f576,f18]) ).
fof(f1710,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf49(X5),skaf80(X6))),
inference(resolution,[],[f576,f15]) ).
fof(f1709,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf49(X3),skaf81(X4))),
inference(resolution,[],[f576,f14]) ).
fof(f1708,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf49(X1),skaf82(X2))),
inference(resolution,[],[f576,f13]) ).
fof(f576,plain,
! [X28,X29] :
( ~ ssList(X28)
| tl(cons(skaf49(X29),X28)) = X28 ),
inference(resolution,[],[f96,f46]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause118) ).
fof(f1638,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf50(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f575,f75]) ).
fof(f1637,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf50(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f575,f85]) ).
fof(f1636,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf50(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f575,f86]) ).
fof(f1635,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf50(X58),skaf42(X59,X60))),
inference(resolution,[],[f575,f53]) ).
fof(f1634,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf50(X55),skaf43(X56,X57))),
inference(resolution,[],[f575,f52]) ).
fof(f1633,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf50(X52),skaf45(X53,X54))),
inference(resolution,[],[f575,f51]) ).
fof(f1632,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf50(X49),skaf46(X50,X51))),
inference(resolution,[],[f575,f50]) ).
fof(f1631,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf50(X46),skaf47(X47,X48))),
inference(resolution,[],[f575,f49]) ).
fof(f1630,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf50(X43),skaf48(X44,X45))),
inference(resolution,[],[f575,f48]) ).
fof(f1629,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf50(X41),skaf51(X42))),
inference(resolution,[],[f575,f44]) ).
fof(f1628,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf50(X39),skaf52(X40))),
inference(resolution,[],[f575,f43]) ).
fof(f1627,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf50(X37),skaf53(X38))),
inference(resolution,[],[f575,f42]) ).
fof(f1626,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf50(X35),skaf56(X36))),
inference(resolution,[],[f575,f39]) ).
fof(f1625,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf50(X33),skaf57(X34))),
inference(resolution,[],[f575,f38]) ).
fof(f1624,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf50(X31),skaf58(X32))),
inference(resolution,[],[f575,f37]) ).
fof(f1623,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf50(X29),skaf61(X30))),
inference(resolution,[],[f575,f34]) ).
fof(f1622,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf50(X27),skaf62(X28))),
inference(resolution,[],[f575,f33]) ).
fof(f1621,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf50(X25),skaf63(X26))),
inference(resolution,[],[f575,f32]) ).
fof(f1620,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf50(X23),skaf66(X24))),
inference(resolution,[],[f575,f29]) ).
fof(f1619,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf50(X21),skaf67(X22))),
inference(resolution,[],[f575,f28]) ).
fof(f1618,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf50(X19),skaf68(X20))),
inference(resolution,[],[f575,f27]) ).
fof(f1617,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf50(X17),skaf71(X18))),
inference(resolution,[],[f575,f24]) ).
fof(f1616,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf50(X15),skaf72(X16))),
inference(resolution,[],[f575,f23]) ).
fof(f1615,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf50(X13),skaf73(X14))),
inference(resolution,[],[f575,f22]) ).
fof(f1614,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf50(X11),skaf75(X12))),
inference(resolution,[],[f575,f20]) ).
fof(f1613,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf50(X9),skaf76(X10))),
inference(resolution,[],[f575,f19]) ).
fof(f1612,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf50(X7),skaf77(X8))),
inference(resolution,[],[f575,f18]) ).
fof(f1611,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf50(X5),skaf80(X6))),
inference(resolution,[],[f575,f15]) ).
fof(f1610,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf50(X3),skaf81(X4))),
inference(resolution,[],[f575,f14]) ).
fof(f1609,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf50(X1),skaf82(X2))),
inference(resolution,[],[f575,f13]) ).
fof(f575,plain,
! [X26,X27] :
( ~ ssList(X26)
| tl(cons(skaf50(X27),X26)) = X26 ),
inference(resolution,[],[f96,f45]) ).
fof(f1596,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf54(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f574,f75]) ).
fof(f1595,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf54(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f574,f85]) ).
fof(f1594,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf54(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f574,f86]) ).
fof(f1593,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf54(X58),skaf42(X59,X60))),
inference(resolution,[],[f574,f53]) ).
fof(f1592,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf54(X55),skaf43(X56,X57))),
inference(resolution,[],[f574,f52]) ).
fof(f1591,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf54(X52),skaf45(X53,X54))),
inference(resolution,[],[f574,f51]) ).
fof(f1590,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf54(X49),skaf46(X50,X51))),
inference(resolution,[],[f574,f50]) ).
fof(f1589,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf54(X46),skaf47(X47,X48))),
inference(resolution,[],[f574,f49]) ).
fof(f1588,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf54(X43),skaf48(X44,X45))),
inference(resolution,[],[f574,f48]) ).
fof(f1587,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf54(X41),skaf51(X42))),
inference(resolution,[],[f574,f44]) ).
fof(f1586,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf54(X39),skaf52(X40))),
inference(resolution,[],[f574,f43]) ).
fof(f1585,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf54(X37),skaf53(X38))),
inference(resolution,[],[f574,f42]) ).
fof(f1584,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf54(X35),skaf56(X36))),
inference(resolution,[],[f574,f39]) ).
fof(f1583,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf54(X33),skaf57(X34))),
inference(resolution,[],[f574,f38]) ).
fof(f1582,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf54(X31),skaf58(X32))),
inference(resolution,[],[f574,f37]) ).
fof(f1581,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf54(X29),skaf61(X30))),
inference(resolution,[],[f574,f34]) ).
fof(f1580,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf54(X27),skaf62(X28))),
inference(resolution,[],[f574,f33]) ).
fof(f1579,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf54(X25),skaf63(X26))),
inference(resolution,[],[f574,f32]) ).
fof(f1578,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf54(X23),skaf66(X24))),
inference(resolution,[],[f574,f29]) ).
fof(f1577,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf54(X21),skaf67(X22))),
inference(resolution,[],[f574,f28]) ).
fof(f1576,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf54(X19),skaf68(X20))),
inference(resolution,[],[f574,f27]) ).
fof(f1575,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf54(X17),skaf71(X18))),
inference(resolution,[],[f574,f24]) ).
fof(f1574,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf54(X15),skaf72(X16))),
inference(resolution,[],[f574,f23]) ).
fof(f1573,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf54(X13),skaf73(X14))),
inference(resolution,[],[f574,f22]) ).
fof(f1572,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf54(X11),skaf75(X12))),
inference(resolution,[],[f574,f20]) ).
fof(f1571,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf54(X9),skaf76(X10))),
inference(resolution,[],[f574,f19]) ).
fof(f1570,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf54(X7),skaf77(X8))),
inference(resolution,[],[f574,f18]) ).
fof(f1569,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf54(X5),skaf80(X6))),
inference(resolution,[],[f574,f15]) ).
fof(f1568,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf54(X3),skaf81(X4))),
inference(resolution,[],[f574,f14]) ).
fof(f1567,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf54(X1),skaf82(X2))),
inference(resolution,[],[f574,f13]) ).
fof(f574,plain,
! [X24,X25] :
( ~ ssList(X24)
| tl(cons(skaf54(X25),X24)) = X24 ),
inference(resolution,[],[f96,f41]) ).
fof(f1559,plain,
! [X37] :
( nil = tl(X37)
| tl(X37) = cons(skaf83(tl(X37)),skaf82(tl(X37)))
| nil = X37
| ~ ssList(X37) ),
inference(resolution,[],[f109,f75]) ).
fof(f1558,plain,
! [X36,X35] :
( nil = app(X35,X36)
| app(X35,X36) = cons(skaf83(app(X35,X36)),skaf82(app(X35,X36)))
| ~ ssList(X35)
| ~ ssList(X36) ),
inference(resolution,[],[f109,f85]) ).
fof(f1564,plain,
! [X34,X33] :
( cons(X33,X34) = cons(skaf83(cons(X33,X34)),skaf82(cons(X33,X34)))
| ~ ssList(X34)
| ~ ssItem(X33) ),
inference(subsumption_resolution,[],[f1557,f98]) ).
fof(f1557,plain,
! [X34,X33] :
( nil = cons(X33,X34)
| cons(X33,X34) = cons(skaf83(cons(X33,X34)),skaf82(cons(X33,X34)))
| ~ ssList(X34)
| ~ ssItem(X33) ),
inference(resolution,[],[f109,f86]) ).
fof(f1556,plain,
! [X31,X32] :
( nil = skaf42(X31,X32)
| skaf42(X31,X32) = cons(skaf83(skaf42(X31,X32)),skaf82(skaf42(X31,X32))) ),
inference(resolution,[],[f109,f53]) ).
fof(f1555,plain,
! [X29,X30] :
( nil = skaf43(X29,X30)
| skaf43(X29,X30) = cons(skaf83(skaf43(X29,X30)),skaf82(skaf43(X29,X30))) ),
inference(resolution,[],[f109,f52]) ).
fof(f1554,plain,
! [X28,X27] :
( nil = skaf45(X27,X28)
| skaf45(X27,X28) = cons(skaf83(skaf45(X27,X28)),skaf82(skaf45(X27,X28))) ),
inference(resolution,[],[f109,f51]) ).
fof(f1553,plain,
! [X26,X25] :
( nil = skaf46(X25,X26)
| skaf46(X25,X26) = cons(skaf83(skaf46(X25,X26)),skaf82(skaf46(X25,X26))) ),
inference(resolution,[],[f109,f50]) ).
fof(f1552,plain,
! [X24,X23] :
( nil = skaf47(X23,X24)
| skaf47(X23,X24) = cons(skaf83(skaf47(X23,X24)),skaf82(skaf47(X23,X24))) ),
inference(resolution,[],[f109,f49]) ).
fof(f1551,plain,
! [X21,X22] :
( nil = skaf48(X21,X22)
| skaf48(X21,X22) = cons(skaf83(skaf48(X21,X22)),skaf82(skaf48(X21,X22))) ),
inference(resolution,[],[f109,f48]) ).
fof(f1550,plain,
! [X20] :
( nil = skaf51(X20)
| skaf51(X20) = cons(skaf83(skaf51(X20)),skaf82(skaf51(X20))) ),
inference(resolution,[],[f109,f44]) ).
fof(f1549,plain,
! [X19] :
( nil = skaf52(X19)
| skaf52(X19) = cons(skaf83(skaf52(X19)),skaf82(skaf52(X19))) ),
inference(resolution,[],[f109,f43]) ).
fof(f1548,plain,
! [X18] :
( nil = skaf53(X18)
| skaf53(X18) = cons(skaf83(skaf53(X18)),skaf82(skaf53(X18))) ),
inference(resolution,[],[f109,f42]) ).
fof(f1547,plain,
! [X17] :
( nil = skaf56(X17)
| skaf56(X17) = cons(skaf83(skaf56(X17)),skaf82(skaf56(X17))) ),
inference(resolution,[],[f109,f39]) ).
fof(f1546,plain,
! [X16] :
( nil = skaf57(X16)
| skaf57(X16) = cons(skaf83(skaf57(X16)),skaf82(skaf57(X16))) ),
inference(resolution,[],[f109,f38]) ).
fof(f1545,plain,
! [X15] :
( nil = skaf58(X15)
| skaf58(X15) = cons(skaf83(skaf58(X15)),skaf82(skaf58(X15))) ),
inference(resolution,[],[f109,f37]) ).
fof(f1544,plain,
! [X14] :
( nil = skaf61(X14)
| skaf61(X14) = cons(skaf83(skaf61(X14)),skaf82(skaf61(X14))) ),
inference(resolution,[],[f109,f34]) ).
fof(f1543,plain,
! [X13] :
( nil = skaf62(X13)
| skaf62(X13) = cons(skaf83(skaf62(X13)),skaf82(skaf62(X13))) ),
inference(resolution,[],[f109,f33]) ).
fof(f1542,plain,
! [X12] :
( nil = skaf63(X12)
| skaf63(X12) = cons(skaf83(skaf63(X12)),skaf82(skaf63(X12))) ),
inference(resolution,[],[f109,f32]) ).
fof(f1541,plain,
! [X11] :
( nil = skaf66(X11)
| skaf66(X11) = cons(skaf83(skaf66(X11)),skaf82(skaf66(X11))) ),
inference(resolution,[],[f109,f29]) ).
fof(f1540,plain,
! [X10] :
( nil = skaf67(X10)
| skaf67(X10) = cons(skaf83(skaf67(X10)),skaf82(skaf67(X10))) ),
inference(resolution,[],[f109,f28]) ).
fof(f1539,plain,
! [X9] :
( nil = skaf68(X9)
| skaf68(X9) = cons(skaf83(skaf68(X9)),skaf82(skaf68(X9))) ),
inference(resolution,[],[f109,f27]) ).
fof(f1538,plain,
! [X8] :
( nil = skaf71(X8)
| skaf71(X8) = cons(skaf83(skaf71(X8)),skaf82(skaf71(X8))) ),
inference(resolution,[],[f109,f24]) ).
fof(f1537,plain,
! [X7] :
( nil = skaf72(X7)
| skaf72(X7) = cons(skaf83(skaf72(X7)),skaf82(skaf72(X7))) ),
inference(resolution,[],[f109,f23]) ).
fof(f1536,plain,
! [X6] :
( nil = skaf73(X6)
| skaf73(X6) = cons(skaf83(skaf73(X6)),skaf82(skaf73(X6))) ),
inference(resolution,[],[f109,f22]) ).
fof(f1535,plain,
! [X5] :
( nil = skaf75(X5)
| skaf75(X5) = cons(skaf83(skaf75(X5)),skaf82(skaf75(X5))) ),
inference(resolution,[],[f109,f20]) ).
fof(f1534,plain,
! [X4] :
( nil = skaf76(X4)
| skaf76(X4) = cons(skaf83(skaf76(X4)),skaf82(skaf76(X4))) ),
inference(resolution,[],[f109,f19]) ).
fof(f1533,plain,
! [X3] :
( nil = skaf77(X3)
| skaf77(X3) = cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))) ),
inference(resolution,[],[f109,f18]) ).
fof(f1532,plain,
! [X2] :
( nil = skaf80(X2)
| skaf80(X2) = cons(skaf83(skaf80(X2)),skaf82(skaf80(X2))) ),
inference(resolution,[],[f109,f15]) ).
fof(f1531,plain,
! [X1] :
( nil = skaf81(X1)
| skaf81(X1) = cons(skaf83(skaf81(X1)),skaf82(skaf81(X1))) ),
inference(resolution,[],[f109,f14]) ).
fof(f1530,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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause109) ).
fof(f1483,plain,
! [X37] :
( nil = tl(X37)
| tl(X37) = cons(hd(tl(X37)),tl(tl(X37)))
| nil = X37
| ~ ssList(X37) ),
inference(resolution,[],[f104,f75]) ).
fof(f1482,plain,
! [X36,X35] :
( nil = app(X35,X36)
| app(X35,X36) = cons(hd(app(X35,X36)),tl(app(X35,X36)))
| ~ ssList(X35)
| ~ ssList(X36) ),
inference(resolution,[],[f104,f85]) ).
fof(f1488,plain,
! [X34,X33] :
( cons(X33,X34) = cons(hd(cons(X33,X34)),tl(cons(X33,X34)))
| ~ ssList(X34)
| ~ ssItem(X33) ),
inference(subsumption_resolution,[],[f1481,f98]) ).
fof(f1481,plain,
! [X34,X33] :
( nil = cons(X33,X34)
| cons(X33,X34) = cons(hd(cons(X33,X34)),tl(cons(X33,X34)))
| ~ ssList(X34)
| ~ ssItem(X33) ),
inference(resolution,[],[f104,f86]) ).
fof(f1480,plain,
! [X31,X32] :
( nil = skaf42(X31,X32)
| skaf42(X31,X32) = cons(hd(skaf42(X31,X32)),tl(skaf42(X31,X32))) ),
inference(resolution,[],[f104,f53]) ).
fof(f1479,plain,
! [X29,X30] :
( nil = skaf43(X29,X30)
| skaf43(X29,X30) = cons(hd(skaf43(X29,X30)),tl(skaf43(X29,X30))) ),
inference(resolution,[],[f104,f52]) ).
fof(f1478,plain,
! [X28,X27] :
( nil = skaf45(X27,X28)
| skaf45(X27,X28) = cons(hd(skaf45(X27,X28)),tl(skaf45(X27,X28))) ),
inference(resolution,[],[f104,f51]) ).
fof(f1477,plain,
! [X26,X25] :
( nil = skaf46(X25,X26)
| skaf46(X25,X26) = cons(hd(skaf46(X25,X26)),tl(skaf46(X25,X26))) ),
inference(resolution,[],[f104,f50]) ).
fof(f1476,plain,
! [X24,X23] :
( nil = skaf47(X23,X24)
| skaf47(X23,X24) = cons(hd(skaf47(X23,X24)),tl(skaf47(X23,X24))) ),
inference(resolution,[],[f104,f49]) ).
fof(f1475,plain,
! [X21,X22] :
( nil = skaf48(X21,X22)
| skaf48(X21,X22) = cons(hd(skaf48(X21,X22)),tl(skaf48(X21,X22))) ),
inference(resolution,[],[f104,f48]) ).
fof(f1474,plain,
! [X20] :
( nil = skaf51(X20)
| skaf51(X20) = cons(hd(skaf51(X20)),tl(skaf51(X20))) ),
inference(resolution,[],[f104,f44]) ).
fof(f1473,plain,
! [X19] :
( nil = skaf52(X19)
| skaf52(X19) = cons(hd(skaf52(X19)),tl(skaf52(X19))) ),
inference(resolution,[],[f104,f43]) ).
fof(f1472,plain,
! [X18] :
( nil = skaf53(X18)
| skaf53(X18) = cons(hd(skaf53(X18)),tl(skaf53(X18))) ),
inference(resolution,[],[f104,f42]) ).
fof(f1471,plain,
! [X17] :
( nil = skaf56(X17)
| skaf56(X17) = cons(hd(skaf56(X17)),tl(skaf56(X17))) ),
inference(resolution,[],[f104,f39]) ).
fof(f1470,plain,
! [X16] :
( nil = skaf57(X16)
| skaf57(X16) = cons(hd(skaf57(X16)),tl(skaf57(X16))) ),
inference(resolution,[],[f104,f38]) ).
fof(f1469,plain,
! [X15] :
( nil = skaf58(X15)
| skaf58(X15) = cons(hd(skaf58(X15)),tl(skaf58(X15))) ),
inference(resolution,[],[f104,f37]) ).
fof(f1468,plain,
! [X14] :
( nil = skaf61(X14)
| skaf61(X14) = cons(hd(skaf61(X14)),tl(skaf61(X14))) ),
inference(resolution,[],[f104,f34]) ).
fof(f1467,plain,
! [X13] :
( nil = skaf62(X13)
| skaf62(X13) = cons(hd(skaf62(X13)),tl(skaf62(X13))) ),
inference(resolution,[],[f104,f33]) ).
fof(f1466,plain,
! [X12] :
( nil = skaf63(X12)
| skaf63(X12) = cons(hd(skaf63(X12)),tl(skaf63(X12))) ),
inference(resolution,[],[f104,f32]) ).
fof(f1465,plain,
! [X11] :
( nil = skaf66(X11)
| skaf66(X11) = cons(hd(skaf66(X11)),tl(skaf66(X11))) ),
inference(resolution,[],[f104,f29]) ).
fof(f1464,plain,
! [X10] :
( nil = skaf67(X10)
| skaf67(X10) = cons(hd(skaf67(X10)),tl(skaf67(X10))) ),
inference(resolution,[],[f104,f28]) ).
fof(f1463,plain,
! [X9] :
( nil = skaf68(X9)
| skaf68(X9) = cons(hd(skaf68(X9)),tl(skaf68(X9))) ),
inference(resolution,[],[f104,f27]) ).
fof(f1462,plain,
! [X8] :
( nil = skaf71(X8)
| skaf71(X8) = cons(hd(skaf71(X8)),tl(skaf71(X8))) ),
inference(resolution,[],[f104,f24]) ).
fof(f1461,plain,
! [X7] :
( nil = skaf72(X7)
| skaf72(X7) = cons(hd(skaf72(X7)),tl(skaf72(X7))) ),
inference(resolution,[],[f104,f23]) ).
fof(f1460,plain,
! [X6] :
( nil = skaf73(X6)
| skaf73(X6) = cons(hd(skaf73(X6)),tl(skaf73(X6))) ),
inference(resolution,[],[f104,f22]) ).
fof(f1459,plain,
! [X5] :
( nil = skaf75(X5)
| skaf75(X5) = cons(hd(skaf75(X5)),tl(skaf75(X5))) ),
inference(resolution,[],[f104,f20]) ).
fof(f1458,plain,
! [X4] :
( nil = skaf76(X4)
| skaf76(X4) = cons(hd(skaf76(X4)),tl(skaf76(X4))) ),
inference(resolution,[],[f104,f19]) ).
fof(f1457,plain,
! [X3] :
( nil = skaf77(X3)
| skaf77(X3) = cons(hd(skaf77(X3)),tl(skaf77(X3))) ),
inference(resolution,[],[f104,f18]) ).
fof(f1456,plain,
! [X2] :
( nil = skaf80(X2)
| skaf80(X2) = cons(hd(skaf80(X2)),tl(skaf80(X2))) ),
inference(resolution,[],[f104,f15]) ).
fof(f1455,plain,
! [X1] :
( nil = skaf81(X1)
| skaf81(X1) = cons(hd(skaf81(X1)),tl(skaf81(X1))) ),
inference(resolution,[],[f104,f14]) ).
fof(f1454,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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause104) ).
fof(f1445,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf55(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f573,f75]) ).
fof(f1444,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf55(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f573,f85]) ).
fof(f1443,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf55(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f573,f86]) ).
fof(f1442,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf55(X58),skaf42(X59,X60))),
inference(resolution,[],[f573,f53]) ).
fof(f1441,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf55(X55),skaf43(X56,X57))),
inference(resolution,[],[f573,f52]) ).
fof(f1440,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf55(X52),skaf45(X53,X54))),
inference(resolution,[],[f573,f51]) ).
fof(f1439,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf55(X49),skaf46(X50,X51))),
inference(resolution,[],[f573,f50]) ).
fof(f1438,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf55(X46),skaf47(X47,X48))),
inference(resolution,[],[f573,f49]) ).
fof(f1437,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf55(X43),skaf48(X44,X45))),
inference(resolution,[],[f573,f48]) ).
fof(f1436,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf55(X41),skaf51(X42))),
inference(resolution,[],[f573,f44]) ).
fof(f1435,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf55(X39),skaf52(X40))),
inference(resolution,[],[f573,f43]) ).
fof(f1434,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf55(X37),skaf53(X38))),
inference(resolution,[],[f573,f42]) ).
fof(f1433,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf55(X35),skaf56(X36))),
inference(resolution,[],[f573,f39]) ).
fof(f1432,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf55(X33),skaf57(X34))),
inference(resolution,[],[f573,f38]) ).
fof(f1431,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf55(X31),skaf58(X32))),
inference(resolution,[],[f573,f37]) ).
fof(f1430,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf55(X29),skaf61(X30))),
inference(resolution,[],[f573,f34]) ).
fof(f1429,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf55(X27),skaf62(X28))),
inference(resolution,[],[f573,f33]) ).
fof(f1428,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf55(X25),skaf63(X26))),
inference(resolution,[],[f573,f32]) ).
fof(f1427,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf55(X23),skaf66(X24))),
inference(resolution,[],[f573,f29]) ).
fof(f1426,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf55(X21),skaf67(X22))),
inference(resolution,[],[f573,f28]) ).
fof(f1425,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf55(X19),skaf68(X20))),
inference(resolution,[],[f573,f27]) ).
fof(f1424,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf55(X17),skaf71(X18))),
inference(resolution,[],[f573,f24]) ).
fof(f1423,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf55(X15),skaf72(X16))),
inference(resolution,[],[f573,f23]) ).
fof(f1422,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf55(X13),skaf73(X14))),
inference(resolution,[],[f573,f22]) ).
fof(f1421,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf55(X11),skaf75(X12))),
inference(resolution,[],[f573,f20]) ).
fof(f1420,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf55(X9),skaf76(X10))),
inference(resolution,[],[f573,f19]) ).
fof(f1419,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf55(X7),skaf77(X8))),
inference(resolution,[],[f573,f18]) ).
fof(f1418,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf55(X5),skaf80(X6))),
inference(resolution,[],[f573,f15]) ).
fof(f1417,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf55(X3),skaf81(X4))),
inference(resolution,[],[f573,f14]) ).
fof(f1416,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf55(X1),skaf82(X2))),
inference(resolution,[],[f573,f13]) ).
fof(f573,plain,
! [X22,X23] :
( ~ ssList(X22)
| tl(cons(skaf55(X23),X22)) = X22 ),
inference(resolution,[],[f96,f40]) ).
fof(f1403,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf59(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f572,f75]) ).
fof(f1402,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf59(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f572,f85]) ).
fof(f1401,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf59(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f572,f86]) ).
fof(f1400,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf59(X58),skaf42(X59,X60))),
inference(resolution,[],[f572,f53]) ).
fof(f1399,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf59(X55),skaf43(X56,X57))),
inference(resolution,[],[f572,f52]) ).
fof(f1398,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf59(X52),skaf45(X53,X54))),
inference(resolution,[],[f572,f51]) ).
fof(f1397,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf59(X49),skaf46(X50,X51))),
inference(resolution,[],[f572,f50]) ).
fof(f1396,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf59(X46),skaf47(X47,X48))),
inference(resolution,[],[f572,f49]) ).
fof(f1395,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf59(X43),skaf48(X44,X45))),
inference(resolution,[],[f572,f48]) ).
fof(f1394,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf59(X41),skaf51(X42))),
inference(resolution,[],[f572,f44]) ).
fof(f1393,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf59(X39),skaf52(X40))),
inference(resolution,[],[f572,f43]) ).
fof(f1392,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf59(X37),skaf53(X38))),
inference(resolution,[],[f572,f42]) ).
fof(f1391,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf59(X35),skaf56(X36))),
inference(resolution,[],[f572,f39]) ).
fof(f1390,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf59(X33),skaf57(X34))),
inference(resolution,[],[f572,f38]) ).
fof(f1389,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf59(X31),skaf58(X32))),
inference(resolution,[],[f572,f37]) ).
fof(f1388,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf59(X29),skaf61(X30))),
inference(resolution,[],[f572,f34]) ).
fof(f1387,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf59(X27),skaf62(X28))),
inference(resolution,[],[f572,f33]) ).
fof(f1386,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf59(X25),skaf63(X26))),
inference(resolution,[],[f572,f32]) ).
fof(f1385,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf59(X23),skaf66(X24))),
inference(resolution,[],[f572,f29]) ).
fof(f1384,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf59(X21),skaf67(X22))),
inference(resolution,[],[f572,f28]) ).
fof(f1383,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf59(X19),skaf68(X20))),
inference(resolution,[],[f572,f27]) ).
fof(f1382,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf59(X17),skaf71(X18))),
inference(resolution,[],[f572,f24]) ).
fof(f1381,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf59(X15),skaf72(X16))),
inference(resolution,[],[f572,f23]) ).
fof(f1380,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf59(X13),skaf73(X14))),
inference(resolution,[],[f572,f22]) ).
fof(f1379,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf59(X11),skaf75(X12))),
inference(resolution,[],[f572,f20]) ).
fof(f1378,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf59(X9),skaf76(X10))),
inference(resolution,[],[f572,f19]) ).
fof(f1377,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf59(X7),skaf77(X8))),
inference(resolution,[],[f572,f18]) ).
fof(f1376,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf59(X5),skaf80(X6))),
inference(resolution,[],[f572,f15]) ).
fof(f1375,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf59(X3),skaf81(X4))),
inference(resolution,[],[f572,f14]) ).
fof(f1374,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf59(X1),skaf82(X2))),
inference(resolution,[],[f572,f13]) ).
fof(f572,plain,
! [X21,X20] :
( ~ ssList(X20)
| tl(cons(skaf59(X21),X20)) = X20 ),
inference(resolution,[],[f96,f36]) ).
fof(f1370,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssList(X1)
| singletonP(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause116) ).
fof(f1360,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf60(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f571,f75]) ).
fof(f1359,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf60(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f571,f85]) ).
fof(f1358,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf60(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f571,f86]) ).
fof(f1357,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf60(X58),skaf42(X59,X60))),
inference(resolution,[],[f571,f53]) ).
fof(f1356,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf60(X55),skaf43(X56,X57))),
inference(resolution,[],[f571,f52]) ).
fof(f1355,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf60(X52),skaf45(X53,X54))),
inference(resolution,[],[f571,f51]) ).
fof(f1354,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf60(X49),skaf46(X50,X51))),
inference(resolution,[],[f571,f50]) ).
fof(f1353,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf60(X46),skaf47(X47,X48))),
inference(resolution,[],[f571,f49]) ).
fof(f1352,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf60(X43),skaf48(X44,X45))),
inference(resolution,[],[f571,f48]) ).
fof(f1351,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf60(X41),skaf51(X42))),
inference(resolution,[],[f571,f44]) ).
fof(f1350,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf60(X39),skaf52(X40))),
inference(resolution,[],[f571,f43]) ).
fof(f1349,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf60(X37),skaf53(X38))),
inference(resolution,[],[f571,f42]) ).
fof(f1348,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf60(X35),skaf56(X36))),
inference(resolution,[],[f571,f39]) ).
fof(f1347,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf60(X33),skaf57(X34))),
inference(resolution,[],[f571,f38]) ).
fof(f1346,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf60(X31),skaf58(X32))),
inference(resolution,[],[f571,f37]) ).
fof(f1345,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf60(X29),skaf61(X30))),
inference(resolution,[],[f571,f34]) ).
fof(f1344,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf60(X27),skaf62(X28))),
inference(resolution,[],[f571,f33]) ).
fof(f1343,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf60(X25),skaf63(X26))),
inference(resolution,[],[f571,f32]) ).
fof(f1342,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf60(X23),skaf66(X24))),
inference(resolution,[],[f571,f29]) ).
fof(f1341,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf60(X21),skaf67(X22))),
inference(resolution,[],[f571,f28]) ).
fof(f1340,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf60(X19),skaf68(X20))),
inference(resolution,[],[f571,f27]) ).
fof(f1339,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf60(X17),skaf71(X18))),
inference(resolution,[],[f571,f24]) ).
fof(f1338,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf60(X15),skaf72(X16))),
inference(resolution,[],[f571,f23]) ).
fof(f1337,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf60(X13),skaf73(X14))),
inference(resolution,[],[f571,f22]) ).
fof(f1336,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf60(X11),skaf75(X12))),
inference(resolution,[],[f571,f20]) ).
fof(f1335,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf60(X9),skaf76(X10))),
inference(resolution,[],[f571,f19]) ).
fof(f1334,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf60(X7),skaf77(X8))),
inference(resolution,[],[f571,f18]) ).
fof(f1333,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf60(X5),skaf80(X6))),
inference(resolution,[],[f571,f15]) ).
fof(f1332,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf60(X3),skaf81(X4))),
inference(resolution,[],[f571,f14]) ).
fof(f1331,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf60(X1),skaf82(X2))),
inference(resolution,[],[f571,f13]) ).
fof(f571,plain,
! [X18,X19] :
( ~ ssList(X18)
| tl(cons(skaf60(X19),X18)) = X18 ),
inference(resolution,[],[f96,f35]) ).
fof(f1318,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf64(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f570,f75]) ).
fof(f1317,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf64(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f570,f85]) ).
fof(f1316,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf64(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f570,f86]) ).
fof(f1315,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf64(X58),skaf42(X59,X60))),
inference(resolution,[],[f570,f53]) ).
fof(f1314,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf64(X55),skaf43(X56,X57))),
inference(resolution,[],[f570,f52]) ).
fof(f1313,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf64(X52),skaf45(X53,X54))),
inference(resolution,[],[f570,f51]) ).
fof(f1312,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf64(X49),skaf46(X50,X51))),
inference(resolution,[],[f570,f50]) ).
fof(f1311,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf64(X46),skaf47(X47,X48))),
inference(resolution,[],[f570,f49]) ).
fof(f1310,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf64(X43),skaf48(X44,X45))),
inference(resolution,[],[f570,f48]) ).
fof(f1309,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf64(X41),skaf51(X42))),
inference(resolution,[],[f570,f44]) ).
fof(f1308,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf64(X39),skaf52(X40))),
inference(resolution,[],[f570,f43]) ).
fof(f1307,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf64(X37),skaf53(X38))),
inference(resolution,[],[f570,f42]) ).
fof(f1306,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf64(X35),skaf56(X36))),
inference(resolution,[],[f570,f39]) ).
fof(f1305,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf64(X33),skaf57(X34))),
inference(resolution,[],[f570,f38]) ).
fof(f1304,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf64(X31),skaf58(X32))),
inference(resolution,[],[f570,f37]) ).
fof(f1303,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf64(X29),skaf61(X30))),
inference(resolution,[],[f570,f34]) ).
fof(f1302,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf64(X27),skaf62(X28))),
inference(resolution,[],[f570,f33]) ).
fof(f1301,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf64(X25),skaf63(X26))),
inference(resolution,[],[f570,f32]) ).
fof(f1300,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf64(X23),skaf66(X24))),
inference(resolution,[],[f570,f29]) ).
fof(f1299,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf64(X21),skaf67(X22))),
inference(resolution,[],[f570,f28]) ).
fof(f1298,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf64(X19),skaf68(X20))),
inference(resolution,[],[f570,f27]) ).
fof(f1297,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf64(X17),skaf71(X18))),
inference(resolution,[],[f570,f24]) ).
fof(f1296,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf64(X15),skaf72(X16))),
inference(resolution,[],[f570,f23]) ).
fof(f1295,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf64(X13),skaf73(X14))),
inference(resolution,[],[f570,f22]) ).
fof(f1294,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf64(X11),skaf75(X12))),
inference(resolution,[],[f570,f20]) ).
fof(f1293,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf64(X9),skaf76(X10))),
inference(resolution,[],[f570,f19]) ).
fof(f1292,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf64(X7),skaf77(X8))),
inference(resolution,[],[f570,f18]) ).
fof(f1291,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf64(X5),skaf80(X6))),
inference(resolution,[],[f570,f15]) ).
fof(f1290,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf64(X3),skaf81(X4))),
inference(resolution,[],[f570,f14]) ).
fof(f1289,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf64(X1),skaf82(X2))),
inference(resolution,[],[f570,f13]) ).
fof(f570,plain,
! [X16,X17] :
( ~ ssList(X16)
| tl(cons(skaf64(X17),X16)) = X16 ),
inference(resolution,[],[f96,f31]) ).
fof(f113,axiom,
! [X0,X1] :
( totalorderedP(cons(X1,X0))
| ~ ssList(X0)
| nil != X0
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause113) ).
fof(f1276,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf65(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f569,f75]) ).
fof(f1275,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf65(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f569,f85]) ).
fof(f1274,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf65(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f569,f86]) ).
fof(f1273,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf65(X58),skaf42(X59,X60))),
inference(resolution,[],[f569,f53]) ).
fof(f1272,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf65(X55),skaf43(X56,X57))),
inference(resolution,[],[f569,f52]) ).
fof(f1271,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf65(X52),skaf45(X53,X54))),
inference(resolution,[],[f569,f51]) ).
fof(f1270,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf65(X49),skaf46(X50,X51))),
inference(resolution,[],[f569,f50]) ).
fof(f1269,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf65(X46),skaf47(X47,X48))),
inference(resolution,[],[f569,f49]) ).
fof(f1268,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf65(X43),skaf48(X44,X45))),
inference(resolution,[],[f569,f48]) ).
fof(f1267,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf65(X41),skaf51(X42))),
inference(resolution,[],[f569,f44]) ).
fof(f1266,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf65(X39),skaf52(X40))),
inference(resolution,[],[f569,f43]) ).
fof(f1265,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf65(X37),skaf53(X38))),
inference(resolution,[],[f569,f42]) ).
fof(f1264,plain,
! [X36,X35] : skaf56(X36) = tl(cons(skaf65(X35),skaf56(X36))),
inference(resolution,[],[f569,f39]) ).
fof(f1263,plain,
! [X34,X33] : skaf57(X34) = tl(cons(skaf65(X33),skaf57(X34))),
inference(resolution,[],[f569,f38]) ).
fof(f1262,plain,
! [X31,X32] : skaf58(X32) = tl(cons(skaf65(X31),skaf58(X32))),
inference(resolution,[],[f569,f37]) ).
fof(f1261,plain,
! [X29,X30] : skaf61(X30) = tl(cons(skaf65(X29),skaf61(X30))),
inference(resolution,[],[f569,f34]) ).
fof(f1260,plain,
! [X28,X27] : skaf62(X28) = tl(cons(skaf65(X27),skaf62(X28))),
inference(resolution,[],[f569,f33]) ).
fof(f1259,plain,
! [X26,X25] : skaf63(X26) = tl(cons(skaf65(X25),skaf63(X26))),
inference(resolution,[],[f569,f32]) ).
fof(f1258,plain,
! [X24,X23] : skaf66(X24) = tl(cons(skaf65(X23),skaf66(X24))),
inference(resolution,[],[f569,f29]) ).
fof(f1257,plain,
! [X21,X22] : skaf67(X22) = tl(cons(skaf65(X21),skaf67(X22))),
inference(resolution,[],[f569,f28]) ).
fof(f1256,plain,
! [X19,X20] : skaf68(X20) = tl(cons(skaf65(X19),skaf68(X20))),
inference(resolution,[],[f569,f27]) ).
fof(f1255,plain,
! [X18,X17] : skaf71(X18) = tl(cons(skaf65(X17),skaf71(X18))),
inference(resolution,[],[f569,f24]) ).
fof(f1254,plain,
! [X16,X15] : skaf72(X16) = tl(cons(skaf65(X15),skaf72(X16))),
inference(resolution,[],[f569,f23]) ).
fof(f1253,plain,
! [X14,X13] : skaf73(X14) = tl(cons(skaf65(X13),skaf73(X14))),
inference(resolution,[],[f569,f22]) ).
fof(f1252,plain,
! [X11,X12] : skaf75(X12) = tl(cons(skaf65(X11),skaf75(X12))),
inference(resolution,[],[f569,f20]) ).
fof(f1251,plain,
! [X10,X9] : skaf76(X10) = tl(cons(skaf65(X9),skaf76(X10))),
inference(resolution,[],[f569,f19]) ).
fof(f1250,plain,
! [X8,X7] : skaf77(X8) = tl(cons(skaf65(X7),skaf77(X8))),
inference(resolution,[],[f569,f18]) ).
fof(f1249,plain,
! [X6,X5] : skaf80(X6) = tl(cons(skaf65(X5),skaf80(X6))),
inference(resolution,[],[f569,f15]) ).
fof(f1248,plain,
! [X3,X4] : skaf81(X4) = tl(cons(skaf65(X3),skaf81(X4))),
inference(resolution,[],[f569,f14]) ).
fof(f1247,plain,
! [X2,X1] : skaf82(X2) = tl(cons(skaf65(X1),skaf82(X2))),
inference(resolution,[],[f569,f13]) ).
fof(f569,plain,
! [X14,X15] :
( ~ ssList(X14)
| tl(cons(skaf65(X15),X14)) = X14 ),
inference(resolution,[],[f96,f30]) ).
fof(f1234,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf69(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f568,f75]) ).
fof(f1233,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf69(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f568,f85]) ).
fof(f1232,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf69(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f568,f86]) ).
fof(f1231,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf69(X58),skaf42(X59,X60))),
inference(resolution,[],[f568,f53]) ).
fof(f1230,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf69(X55),skaf43(X56,X57))),
inference(resolution,[],[f568,f52]) ).
fof(f1229,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf69(X52),skaf45(X53,X54))),
inference(resolution,[],[f568,f51]) ).
fof(f1228,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf69(X49),skaf46(X50,X51))),
inference(resolution,[],[f568,f50]) ).
fof(f1227,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf69(X46),skaf47(X47,X48))),
inference(resolution,[],[f568,f49]) ).
fof(f1226,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf69(X43),skaf48(X44,X45))),
inference(resolution,[],[f568,f48]) ).
fof(f1225,plain,
! [X41,X42] : skaf51(X42) = tl(cons(skaf69(X41),skaf51(X42))),
inference(resolution,[],[f568,f44]) ).
fof(f1224,plain,
! [X40,X39] : skaf52(X40) = tl(cons(skaf69(X39),skaf52(X40))),
inference(resolution,[],[f568,f43]) ).
fof(f1223,plain,
! [X38,X37] : skaf53(X38) = tl(cons(skaf69(X37),skaf53(X38))),
inference(resolution,[],[f568,f42]) ).
fof(f568,plain,
! [X12,X13] :
( ~ ssList(X12)
| tl(cons(skaf69(X13),X12)) = X12 ),
inference(resolution,[],[f96,f26]) ).
fof(f112,axiom,
! [X0,X1] :
( strictorderedP(cons(X1,X0))
| ~ ssList(X0)
| nil != X0
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause112) ).
fof(f1192,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf70(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f567,f75]) ).
fof(f1191,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf70(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f567,f85]) ).
fof(f1190,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf70(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f567,f86]) ).
fof(f1189,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf70(X58),skaf42(X59,X60))),
inference(resolution,[],[f567,f53]) ).
fof(f1188,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf70(X55),skaf43(X56,X57))),
inference(resolution,[],[f567,f52]) ).
fof(f1187,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf70(X52),skaf45(X53,X54))),
inference(resolution,[],[f567,f51]) ).
fof(f1186,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf70(X49),skaf46(X50,X51))),
inference(resolution,[],[f567,f50]) ).
fof(f1185,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf70(X46),skaf47(X47,X48))),
inference(resolution,[],[f567,f49]) ).
fof(f1184,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf70(X43),skaf48(X44,X45))),
inference(resolution,[],[f567,f48]) ).
fof(f567,plain,
! [X10,X11] :
( ~ ssList(X10)
| tl(cons(skaf70(X11),X10)) = X10 ),
inference(resolution,[],[f96,f25]) ).
fof(f1150,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf74(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f566,f75]) ).
fof(f1149,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf74(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f566,f85]) ).
fof(f1148,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf74(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f566,f86]) ).
fof(f1147,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf74(X58),skaf42(X59,X60))),
inference(resolution,[],[f566,f53]) ).
fof(f1146,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf74(X55),skaf43(X56,X57))),
inference(resolution,[],[f566,f52]) ).
fof(f1145,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf74(X52),skaf45(X53,X54))),
inference(resolution,[],[f566,f51]) ).
fof(f1144,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf74(X49),skaf46(X50,X51))),
inference(resolution,[],[f566,f50]) ).
fof(f1143,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf74(X46),skaf47(X47,X48))),
inference(resolution,[],[f566,f49]) ).
fof(f1142,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf74(X43),skaf48(X44,X45))),
inference(resolution,[],[f566,f48]) ).
fof(f566,plain,
! [X8,X9] :
( ~ ssList(X8)
| tl(cons(skaf74(X9),X8)) = X8 ),
inference(resolution,[],[f96,f21]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ neq(X0,X1)
| ~ ssItem(X1)
| X0 != X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause117) ).
fof(f1105,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf78(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f565,f75]) ).
fof(f1104,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf78(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f565,f85]) ).
fof(f1103,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf78(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f565,f86]) ).
fof(f1102,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf78(X58),skaf42(X59,X60))),
inference(resolution,[],[f565,f53]) ).
fof(f1101,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf78(X55),skaf43(X56,X57))),
inference(resolution,[],[f565,f52]) ).
fof(f1100,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf78(X52),skaf45(X53,X54))),
inference(resolution,[],[f565,f51]) ).
fof(f1099,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf78(X49),skaf46(X50,X51))),
inference(resolution,[],[f565,f50]) ).
fof(f1098,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf78(X46),skaf47(X47,X48))),
inference(resolution,[],[f565,f49]) ).
fof(f1097,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf78(X43),skaf48(X44,X45))),
inference(resolution,[],[f565,f48]) ).
fof(f565,plain,
! [X6,X7] :
( ~ ssList(X6)
| tl(cons(skaf78(X7),X6)) = X6 ),
inference(resolution,[],[f96,f17]) ).
fof(f1063,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf79(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f564,f75]) ).
fof(f1062,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf79(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f564,f85]) ).
fof(f1061,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf79(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f564,f86]) ).
fof(f1060,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf79(X58),skaf42(X59,X60))),
inference(resolution,[],[f564,f53]) ).
fof(f1059,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf79(X55),skaf43(X56,X57))),
inference(resolution,[],[f564,f52]) ).
fof(f1058,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf79(X52),skaf45(X53,X54))),
inference(resolution,[],[f564,f51]) ).
fof(f1057,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf79(X49),skaf46(X50,X51))),
inference(resolution,[],[f564,f50]) ).
fof(f1056,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf79(X46),skaf47(X47,X48))),
inference(resolution,[],[f564,f49]) ).
fof(f1055,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf79(X43),skaf48(X44,X45))),
inference(resolution,[],[f564,f48]) ).
fof(f564,plain,
! [X4,X5] :
( ~ ssList(X4)
| tl(cons(skaf79(X5),X4)) = X4 ),
inference(resolution,[],[f96,f16]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ neq(X0,X1)
| ~ ssList(X1)
| X0 != X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause115) ).
fof(f1018,plain,
! [X68,X67] :
( tl(X68) = tl(cons(skaf83(X67),tl(X68)))
| nil = X68
| ~ ssList(X68) ),
inference(resolution,[],[f563,f75]) ).
fof(f1017,plain,
! [X65,X66,X64] :
( app(X65,X66) = tl(cons(skaf83(X64),app(X65,X66)))
| ~ ssList(X65)
| ~ ssList(X66) ),
inference(resolution,[],[f563,f85]) ).
fof(f1016,plain,
! [X62,X63,X61] :
( cons(X62,X63) = tl(cons(skaf83(X61),cons(X62,X63)))
| ~ ssList(X63)
| ~ ssItem(X62) ),
inference(resolution,[],[f563,f86]) ).
fof(f1015,plain,
! [X58,X59,X60] : skaf42(X59,X60) = tl(cons(skaf83(X58),skaf42(X59,X60))),
inference(resolution,[],[f563,f53]) ).
fof(f1014,plain,
! [X56,X57,X55] : skaf43(X56,X57) = tl(cons(skaf83(X55),skaf43(X56,X57))),
inference(resolution,[],[f563,f52]) ).
fof(f1013,plain,
! [X54,X52,X53] : skaf45(X53,X54) = tl(cons(skaf83(X52),skaf45(X53,X54))),
inference(resolution,[],[f563,f51]) ).
fof(f1012,plain,
! [X50,X51,X49] : skaf46(X50,X51) = tl(cons(skaf83(X49),skaf46(X50,X51))),
inference(resolution,[],[f563,f50]) ).
fof(f1011,plain,
! [X48,X46,X47] : skaf47(X47,X48) = tl(cons(skaf83(X46),skaf47(X47,X48))),
inference(resolution,[],[f563,f49]) ).
fof(f1010,plain,
! [X44,X45,X43] : skaf48(X44,X45) = tl(cons(skaf83(X43),skaf48(X44,X45))),
inference(resolution,[],[f563,f48]) ).
fof(f408,plain,
! [X31,X32] : skaf42(X31,X32) = app(nil,skaf42(X31,X32)),
inference(resolution,[],[f74,f53]) ).
fof(f407,plain,
! [X29,X30] : skaf43(X29,X30) = app(nil,skaf43(X29,X30)),
inference(resolution,[],[f74,f52]) ).
fof(f406,plain,
! [X28,X27] : skaf45(X27,X28) = app(nil,skaf45(X27,X28)),
inference(resolution,[],[f74,f51]) ).
fof(f405,plain,
! [X26,X25] : skaf46(X25,X26) = app(nil,skaf46(X25,X26)),
inference(resolution,[],[f74,f50]) ).
fof(f404,plain,
! [X24,X23] : skaf47(X23,X24) = app(nil,skaf47(X23,X24)),
inference(resolution,[],[f74,f49]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause114) ).
fof(f403,plain,
! [X21,X22] : skaf48(X21,X22) = app(nil,skaf48(X21,X22)),
inference(resolution,[],[f74,f48]) ).
fof(f373,plain,
! [X31,X32] : skaf42(X31,X32) = app(skaf42(X31,X32),nil),
inference(resolution,[],[f73,f53]) ).
fof(f372,plain,
! [X29,X30] : skaf43(X29,X30) = app(skaf43(X29,X30),nil),
inference(resolution,[],[f73,f52]) ).
fof(f371,plain,
! [X28,X27] : skaf45(X27,X28) = app(skaf45(X27,X28),nil),
inference(resolution,[],[f73,f51]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| X0 != X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause111) ).
fof(f945,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f944]) ).
fof(f944,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f110,f106]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause110) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause108) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause107) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause106) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause105) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause103) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause102) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause101) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause100) ).
fof(f698,plain,
! [X32,X33] :
( ~ ssList(X32)
| hd(X33) = hd(cons(hd(X33),X32))
| nil = X33
| ~ ssList(X33) ),
inference(resolution,[],[f97,f76]) ).
fof(f697,plain,
! [X31,X30] :
( ~ ssList(X30)
| skaf44(X31) = hd(cons(skaf44(X31),X30)) ),
inference(resolution,[],[f97,f47]) ).
fof(f696,plain,
! [X28,X29] :
( ~ ssList(X28)
| skaf49(X29) = hd(cons(skaf49(X29),X28)) ),
inference(resolution,[],[f97,f46]) ).
fof(f695,plain,
! [X26,X27] :
( ~ ssList(X26)
| skaf50(X27) = hd(cons(skaf50(X27),X26)) ),
inference(resolution,[],[f97,f45]) ).
fof(f694,plain,
! [X24,X25] :
( ~ ssList(X24)
| skaf54(X25) = hd(cons(skaf54(X25),X24)) ),
inference(resolution,[],[f97,f41]) ).
fof(f693,plain,
! [X22,X23] :
( ~ ssList(X22)
| skaf55(X23) = hd(cons(skaf55(X23),X22)) ),
inference(resolution,[],[f97,f40]) ).
fof(f692,plain,
! [X21,X20] :
( ~ ssList(X20)
| skaf59(X21) = hd(cons(skaf59(X21),X20)) ),
inference(resolution,[],[f97,f36]) ).
fof(f691,plain,
! [X18,X19] :
( ~ ssList(X18)
| skaf60(X19) = hd(cons(skaf60(X19),X18)) ),
inference(resolution,[],[f97,f35]) ).
fof(f690,plain,
! [X16,X17] :
( ~ ssList(X16)
| skaf64(X17) = hd(cons(skaf64(X17),X16)) ),
inference(resolution,[],[f97,f31]) ).
fof(f689,plain,
! [X14,X15] :
( ~ ssList(X14)
| skaf65(X15) = hd(cons(skaf65(X15),X14)) ),
inference(resolution,[],[f97,f30]) ).
fof(f688,plain,
! [X12,X13] :
( ~ ssList(X12)
| skaf69(X13) = hd(cons(skaf69(X13),X12)) ),
inference(resolution,[],[f97,f26]) ).
fof(f687,plain,
! [X10,X11] :
( ~ ssList(X10)
| skaf70(X11) = hd(cons(skaf70(X11),X10)) ),
inference(resolution,[],[f97,f25]) ).
fof(f686,plain,
! [X8,X9] :
( ~ ssList(X8)
| skaf74(X9) = hd(cons(skaf74(X9),X8)) ),
inference(resolution,[],[f97,f21]) ).
fof(f685,plain,
! [X6,X7] :
( ~ ssList(X6)
| skaf78(X7) = hd(cons(skaf78(X7),X6)) ),
inference(resolution,[],[f97,f17]) ).
fof(f684,plain,
! [X4,X5] :
( ~ ssList(X4)
| skaf79(X5) = hd(cons(skaf79(X5),X4)) ),
inference(resolution,[],[f97,f16]) ).
fof(f683,plain,
! [X2,X3] :
( ~ ssList(X2)
| skaf83(X3) = hd(cons(skaf83(X3),X2)) ),
inference(resolution,[],[f97,f12]) ).
fof(f578,plain,
! [X32,X33] :
( ~ ssList(X32)
| tl(cons(hd(X33),X32)) = X32
| nil = X33
| ~ ssList(X33) ),
inference(resolution,[],[f96,f76]) ).
fof(f370,plain,
! [X26,X25] : skaf46(X25,X26) = app(skaf46(X25,X26),nil),
inference(resolution,[],[f73,f50]) ).
fof(f369,plain,
! [X24,X23] : skaf47(X23,X24) = app(skaf47(X23,X24),nil),
inference(resolution,[],[f73,f49]) ).
fof(f368,plain,
! [X21,X22] : skaf48(X21,X22) = app(skaf48(X21,X22),nil),
inference(resolution,[],[f73,f48]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause98) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause87) ).
fof(f507,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,X2) = app(cons(X3,X2),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f506,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause86) ).
fof(f458,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) = app(app(X2,X3),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f457,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause84) ).
fof(f83,axiom,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause83) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause82) ).
fof(f81,axiom,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause81) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause80) ).
fof(f402,plain,
! [X20] : skaf51(X20) = app(nil,skaf51(X20)),
inference(resolution,[],[f74,f44]) ).
fof(f401,plain,
! [X19] : skaf52(X19) = app(nil,skaf52(X19)),
inference(resolution,[],[f74,f43]) ).
fof(f400,plain,
! [X18] : skaf53(X18) = app(nil,skaf53(X18)),
inference(resolution,[],[f74,f42]) ).
fof(f399,plain,
! [X17] : skaf56(X17) = app(nil,skaf56(X17)),
inference(resolution,[],[f74,f39]) ).
fof(f398,plain,
! [X16] : skaf57(X16) = app(nil,skaf57(X16)),
inference(resolution,[],[f74,f38]) ).
fof(f397,plain,
! [X15] : skaf58(X15) = app(nil,skaf58(X15)),
inference(resolution,[],[f74,f37]) ).
fof(f396,plain,
! [X14] : skaf61(X14) = app(nil,skaf61(X14)),
inference(resolution,[],[f74,f34]) ).
fof(f395,plain,
! [X13] : skaf62(X13) = app(nil,skaf62(X13)),
inference(resolution,[],[f74,f33]) ).
fof(f394,plain,
! [X12] : skaf63(X12) = app(nil,skaf63(X12)),
inference(resolution,[],[f74,f32]) ).
fof(f393,plain,
! [X11] : skaf66(X11) = app(nil,skaf66(X11)),
inference(resolution,[],[f74,f29]) ).
fof(f392,plain,
! [X10] : skaf67(X10) = app(nil,skaf67(X10)),
inference(resolution,[],[f74,f28]) ).
fof(f79,axiom,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause79) ).
fof(f391,plain,
! [X9] : skaf68(X9) = app(nil,skaf68(X9)),
inference(resolution,[],[f74,f27]) ).
fof(f390,plain,
! [X8] : skaf71(X8) = app(nil,skaf71(X8)),
inference(resolution,[],[f74,f24]) ).
fof(f389,plain,
! [X7] : skaf72(X7) = app(nil,skaf72(X7)),
inference(resolution,[],[f74,f23]) ).
fof(f388,plain,
! [X6] : skaf73(X6) = app(nil,skaf73(X6)),
inference(resolution,[],[f74,f22]) ).
fof(f387,plain,
! [X5] : skaf75(X5) = app(nil,skaf75(X5)),
inference(resolution,[],[f74,f20]) ).
fof(f386,plain,
! [X4] : skaf76(X4) = app(nil,skaf76(X4)),
inference(resolution,[],[f74,f19]) ).
fof(f385,plain,
! [X3] : skaf77(X3) = app(nil,skaf77(X3)),
inference(resolution,[],[f74,f18]) ).
fof(f384,plain,
! [X2] : skaf80(X2) = app(nil,skaf80(X2)),
inference(resolution,[],[f74,f15]) ).
fof(f383,plain,
! [X1] : skaf81(X1) = app(nil,skaf81(X1)),
inference(resolution,[],[f74,f14]) ).
fof(f382,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f367,plain,
! [X20] : skaf51(X20) = app(skaf51(X20),nil),
inference(resolution,[],[f73,f44]) ).
fof(f366,plain,
! [X19] : skaf52(X19) = app(skaf52(X19),nil),
inference(resolution,[],[f73,f43]) ).
fof(f365,plain,
! [X18] : skaf53(X18) = app(skaf53(X18),nil),
inference(resolution,[],[f73,f42]) ).
fof(f364,plain,
! [X17] : skaf56(X17) = app(skaf56(X17),nil),
inference(resolution,[],[f73,f39]) ).
fof(f363,plain,
! [X16] : skaf57(X16) = app(skaf57(X16),nil),
inference(resolution,[],[f73,f38]) ).
fof(f362,plain,
! [X15] : skaf58(X15) = app(skaf58(X15),nil),
inference(resolution,[],[f73,f37]) ).
fof(f361,plain,
! [X14] : skaf61(X14) = app(skaf61(X14),nil),
inference(resolution,[],[f73,f34]) ).
fof(f360,plain,
! [X13] : skaf62(X13) = app(skaf62(X13),nil),
inference(resolution,[],[f73,f33]) ).
fof(f359,plain,
! [X12] : skaf63(X12) = app(skaf63(X12),nil),
inference(resolution,[],[f73,f32]) ).
fof(f358,plain,
! [X11] : skaf66(X11) = app(skaf66(X11),nil),
inference(resolution,[],[f73,f29]) ).
fof(f357,plain,
! [X10] : skaf67(X10) = app(skaf67(X10),nil),
inference(resolution,[],[f73,f28]) ).
fof(f356,plain,
! [X9] : skaf68(X9) = app(skaf68(X9),nil),
inference(resolution,[],[f73,f27]) ).
fof(f355,plain,
! [X8] : skaf71(X8) = app(skaf71(X8),nil),
inference(resolution,[],[f73,f24]) ).
fof(f354,plain,
! [X7] : skaf72(X7) = app(skaf72(X7),nil),
inference(resolution,[],[f73,f23]) ).
fof(f353,plain,
! [X6] : skaf73(X6) = app(skaf73(X6),nil),
inference(resolution,[],[f73,f22]) ).
fof(f352,plain,
! [X5] : skaf75(X5) = app(skaf75(X5),nil),
inference(resolution,[],[f73,f20]) ).
fof(f351,plain,
! [X4] : skaf76(X4) = app(skaf76(X4),nil),
inference(resolution,[],[f73,f19]) ).
fof(f350,plain,
! [X3] : skaf77(X3) = app(skaf77(X3),nil),
inference(resolution,[],[f73,f18]) ).
fof(f349,plain,
! [X2] : skaf80(X2) = app(skaf80(X2),nil),
inference(resolution,[],[f73,f15]) ).
fof(f348,plain,
! [X1] : skaf81(X1) = app(skaf81(X1),nil),
inference(resolution,[],[f73,f14]) ).
fof(f347,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause76) ).
fof(f435,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| tl(X1) = app(tl(X1),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f434,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause75) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause74) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause64) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause62) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause57) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause55) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause52) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause48) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause14) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_7) ).
fof(f191,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_6) ).
fof(f190,axiom,
nil = sk3,
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_5) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause9) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause8) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause1) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_3) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_2) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',co1_1) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause184) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause183) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause185) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause182) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause181) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause177) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( frontsegP(cons(X2,X0),cons(X3,X1))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause178) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause179) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause153) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause158) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause160) ).
fof(f145,axiom,
! [X0,X1] :
( nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause145) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause135) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause122) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause168) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause169) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause157) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause78) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause163) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause164) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause167) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause166) ).
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/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aKv84dfC1T/Vampire---4.8_11430',clause142) ).
fof(f4083,plain,
( ~ spl0_53
| spl0_43
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4065,f4042,f2766,f4079]) ).
fof(f4079,plain,
( spl0_53
<=> nil = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f4082,plain,
( ~ spl0_53
| spl0_43
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4062,f4042,f2766,f4079]) ).
fof(f4077,plain,
( ~ spl0_52
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4059,f4042,f4074]) ).
fof(f4074,plain,
( spl0_52
<=> sk2 = skaf82(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f4045,plain,
( spl0_51
| ~ spl0_2
| spl0_36 ),
inference(avatar_split_clause,[],[f4040,f1500,f200,f4042]) ).
fof(f4040,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2
| spl0_36 ),
inference(subsumption_resolution,[],[f1561,f1501]) ).
fof(f1561,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2))
| ~ spl0_2 ),
inference(resolution,[],[f109,f202]) ).
fof(f3424,plain,
( spl0_49
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f3354,f275,f250,f210,f3356]) ).
fof(f3354,plain,
( sk2 = skaf45(sk2,nil)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f3351,f277]) ).
fof(f3351,plain,
( sk4 = skaf45(sk4,nil)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f2888,f212]) ).
fof(f2888,plain,
( ! [X0] :
( ~ ssList(X0)
| skaf45(X0,nil) = X0 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2887,f406]) ).
fof(f2887,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0 )
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2886,f252]) ).
fof(f2886,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0 ),
inference(duplicate_literal_removal,[],[f2881]) ).
fof(f2881,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f132,f60]) ).
fof(f3365,plain,
( spl0_50
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f3353,f270,f250,f205,f3361]) ).
fof(f3361,plain,
( spl0_50
<=> nil = skaf45(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f3353,plain,
( nil = skaf45(nil,nil)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f3350,f272]) ).
fof(f3350,plain,
( sk3 = skaf45(sk3,nil)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f2888,f207]) ).
fof(f3364,plain,
( spl0_50
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f3352,f288,f250,f195,f3361]) ).
fof(f3352,plain,
( nil = skaf45(nil,nil)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f3348,f290]) ).
fof(f3348,plain,
( sk1 = skaf45(sk1,nil)
| ~ spl0_1
| ~ spl0_12 ),
inference(resolution,[],[f2888,f197]) ).
fof(f3359,plain,
( spl0_49
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3349,f250,f200,f3356]) ).
fof(f3349,plain,
( sk2 = skaf45(sk2,nil)
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f2888,f202]) ).
fof(f3302,plain,
( spl0_47
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f3288,f275,f250,f210,f3292]) ).
fof(f3288,plain,
( sk2 = skaf46(sk2,nil)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f3285,f277]) ).
fof(f3285,plain,
( sk4 = skaf46(sk4,nil)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f2868,f212]) ).
fof(f2868,plain,
( ! [X0] :
( ~ ssList(X0)
| skaf46(X0,nil) = X0 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2867,f370]) ).
fof(f2867,plain,
( ! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0 )
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2866,f252]) ).
fof(f2866,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0 ),
inference(duplicate_literal_removal,[],[f2861]) ).
fof(f2861,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f131,f58]) ).
fof(f3301,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f3287,f270,f250,f205,f3297]) ).
fof(f3297,plain,
( spl0_48
<=> nil = skaf46(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3287,plain,
( nil = skaf46(nil,nil)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f3284,f272]) ).
fof(f3284,plain,
( sk3 = skaf46(sk3,nil)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f2868,f207]) ).
fof(f3300,plain,
( spl0_48
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f3286,f288,f250,f195,f3297]) ).
fof(f3286,plain,
( nil = skaf46(nil,nil)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f3282,f290]) ).
fof(f3282,plain,
( sk1 = skaf46(sk1,nil)
| ~ spl0_1
| ~ spl0_12 ),
inference(resolution,[],[f2868,f197]) ).
fof(f3295,plain,
( spl0_47
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3283,f250,f200,f3292]) ).
fof(f3283,plain,
( sk2 = skaf46(sk2,nil)
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f2868,f202]) ).
fof(f3076,plain,
( spl0_46
| ~ spl0_4
| ~ spl0_17
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3063,f2745,f275,f210,f3070]) ).
fof(f3070,plain,
( spl0_46
<=> sk2 = tl(cons(hd(sk2),sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f3063,plain,
( sk2 = tl(cons(hd(sk2),sk2))
| ~ spl0_4
| ~ spl0_17
| ~ spl0_40 ),
inference(forward_demodulation,[],[f3060,f277]) ).
fof(f3060,plain,
( sk4 = tl(cons(hd(sk2),sk4))
| ~ spl0_4
| ~ spl0_40 ),
inference(resolution,[],[f2759,f212]) ).
fof(f2759,plain,
( ! [X2] :
( ~ ssList(X2)
| tl(cons(hd(sk2),X2)) = X2 )
| ~ spl0_40 ),
inference(resolution,[],[f2746,f96]) ).
fof(f3075,plain,
( spl0_45
| ~ spl0_3
| ~ spl0_16
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3062,f2745,f270,f205,f3065]) ).
fof(f3065,plain,
( spl0_45
<=> nil = tl(cons(hd(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f3062,plain,
( nil = tl(cons(hd(sk2),nil))
| ~ spl0_3
| ~ spl0_16
| ~ spl0_40 ),
inference(forward_demodulation,[],[f3059,f272]) ).
fof(f3059,plain,
( sk3 = tl(cons(hd(sk2),sk3))
| ~ spl0_3
| ~ spl0_40 ),
inference(resolution,[],[f2759,f207]) ).
fof(f3074,plain,
( spl0_45
| ~ spl0_1
| ~ spl0_19
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3061,f2745,f288,f195,f3065]) ).
fof(f3061,plain,
( nil = tl(cons(hd(sk2),nil))
| ~ spl0_1
| ~ spl0_19
| ~ spl0_40 ),
inference(forward_demodulation,[],[f3057,f290]) ).
fof(f3057,plain,
( sk1 = tl(cons(hd(sk2),sk1))
| ~ spl0_1
| ~ spl0_40 ),
inference(resolution,[],[f2759,f197]) ).
fof(f3073,plain,
( spl0_46
| ~ spl0_2
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3058,f2745,f200,f3070]) ).
fof(f3058,plain,
( sk2 = tl(cons(hd(sk2),sk2))
| ~ spl0_2
| ~ spl0_40 ),
inference(resolution,[],[f2759,f202]) ).
fof(f3068,plain,
( spl0_45
| ~ spl0_12
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3026,f2745,f250,f3065]) ).
fof(f3026,plain,
( nil = tl(cons(hd(sk2),nil))
| ~ spl0_12
| ~ spl0_40 ),
inference(resolution,[],[f2759,f252]) ).
fof(f2853,plain,
( spl0_44
| ~ spl0_2
| ~ spl0_4
| ~ spl0_17
| spl0_36 ),
inference(avatar_split_clause,[],[f2847,f1500,f275,f210,f200,f2849]) ).
fof(f2849,plain,
( spl0_44
<=> hd(sk2) = hd(app(sk2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2847,plain,
( hd(sk2) = hd(app(sk2,sk2))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_17
| spl0_36 ),
inference(forward_demodulation,[],[f2844,f277]) ).
fof(f2844,plain,
( hd(sk2) = hd(app(sk2,sk4))
| ~ spl0_2
| ~ spl0_4
| spl0_36 ),
inference(resolution,[],[f2806,f212]) ).
fof(f2806,plain,
( ! [X70] :
( ~ ssList(X70)
| hd(sk2) = hd(app(sk2,X70)) )
| ~ spl0_2
| spl0_36 ),
inference(subsumption_resolution,[],[f2802,f1501]) ).
fof(f2802,plain,
( ! [X70] :
( ~ ssList(X70)
| nil = sk2
| hd(sk2) = hd(app(sk2,X70)) )
| ~ spl0_2 ),
inference(resolution,[],[f123,f202]) ).
fof(f2852,plain,
( spl0_44
| ~ spl0_2
| spl0_36 ),
inference(avatar_split_clause,[],[f2842,f1500,f200,f2849]) ).
fof(f2842,plain,
( hd(sk2) = hd(app(sk2,sk2))
| ~ spl0_2
| spl0_36 ),
inference(resolution,[],[f2806,f202]) ).
fof(f2769,plain,
( ~ spl0_42
| spl0_43
| ~ spl0_12
| ~ spl0_35
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f2760,f2745,f1496,f250,f2766,f2762]) ).
fof(f2762,plain,
( spl0_42
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2760,plain,
( strictorderedP(sk2)
| nil != tl(sk2)
| ~ spl0_12
| ~ spl0_35
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f2524,f2746]) ).
fof(f2524,plain,
( strictorderedP(sk2)
| nil != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_12
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f2523,f252]) ).
fof(f2523,plain,
( strictorderedP(sk2)
| ~ ssList(nil)
| nil != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_35 ),
inference(inner_rewriting,[],[f2516]) ).
fof(f2516,plain,
( strictorderedP(sk2)
| ~ ssList(tl(sk2))
| nil != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_35 ),
inference(superposition,[],[f112,f1498]) ).
fof(f2756,plain,
( ~ spl0_2
| spl0_36
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f2755]) ).
fof(f2755,plain,
( $false
| ~ spl0_2
| spl0_36
| spl0_40 ),
inference(subsumption_resolution,[],[f2754,f202]) ).
fof(f2754,plain,
( ~ ssList(sk2)
| spl0_36
| spl0_40 ),
inference(subsumption_resolution,[],[f2753,f1501]) ).
fof(f2753,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_40 ),
inference(resolution,[],[f2747,f76]) ).
fof(f2747,plain,
( ~ ssItem(hd(sk2))
| spl0_40 ),
inference(avatar_component_clause,[],[f2745]) ).
fof(f2752,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_2
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2522,f1496,f200,f2749,f2745]) ).
fof(f2749,plain,
( spl0_41
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2522,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_2
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f2521,f202]) ).
fof(f2521,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| ~ spl0_35 ),
inference(inner_rewriting,[],[f2515]) ).
fof(f2515,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ spl0_35 ),
inference(superposition,[],[f99,f1498]) ).
fof(f2743,plain,
( spl0_38
| spl0_39
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2170,f200,f2740,f2736]) ).
fof(f2736,plain,
( spl0_38
<=> skaf49(sk2) = skaf50(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2740,plain,
( spl0_39
<=> cyclefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f2170,plain,
( cyclefreeP(sk2)
| skaf49(sk2) = skaf50(sk2)
| ~ spl0_2 ),
inference(resolution,[],[f2134,f202]) ).
fof(f2510,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2509]) ).
fof(f2509,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f2508,f202]) ).
fof(f2508,plain,
( ~ ssList(sk2)
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f2477,f1502]) ).
fof(f1502,plain,
( nil = sk2
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f2477,plain,
( nil != sk2
| ~ ssList(sk2)
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_36 ),
inference(superposition,[],[f2306,f431]) ).
fof(f2306,plain,
( ! [X0] :
( nil != app(nil,X0)
| ~ ssList(X0) )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f2305,f252]) ).
fof(f2305,plain,
( ! [X0] :
( nil != app(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f2220]) ).
fof(f2220,plain,
( ! [X0] :
( nil != app(nil,X0)
| nil != app(nil,X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(superposition,[],[f2197,f424]) ).
fof(f2197,plain,
( ! [X8,X6,X7] :
( nil != app(app(X6,X7),X8)
| nil != app(X6,X8)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8) )
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[],[f2196,f1502]) ).
fof(f2480,plain,
( ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2479]) ).
fof(f2479,plain,
( $false
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f2478,f252]) ).
fof(f2478,plain,
( ~ ssList(nil)
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f2449]) ).
fof(f2449,plain,
( nil != nil
| ~ ssList(nil)
| ~ spl0_12
| ~ spl0_19
| ~ spl0_25
| ~ spl0_36 ),
inference(superposition,[],[f2306,f424]) ).
fof(f1528,plain,
( ~ spl0_37
| spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1523,f1500,f1496,f1525]) ).
fof(f1525,plain,
( spl0_37
<=> nil = cons(hd(nil),tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1523,plain,
( nil != cons(hd(nil),tl(nil))
| spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1497,f1502]) ).
fof(f1497,plain,
( sk2 != cons(hd(sk2),tl(sk2))
| spl0_35 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1503,plain,
( spl0_35
| spl0_36
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1485,f200,f1500,f1496]) ).
fof(f1485,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2))
| ~ spl0_2 ),
inference(resolution,[],[f104,f202]) ).
fof(f827,plain,
( spl0_33
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f815,f275,f260,f210,f817]) ).
fof(f817,plain,
( spl0_33
<=> skac2 = hd(cons(skac2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f260,plain,
( spl0_14
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f815,plain,
( skac2 = hd(cons(skac2,sk2))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f812,f277]) ).
fof(f812,plain,
( skac2 = hd(cons(skac2,sk4))
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f682,f212]) ).
fof(f682,plain,
( ! [X1] :
( ~ ssList(X1)
| skac2 = hd(cons(skac2,X1)) )
| ~ spl0_14 ),
inference(resolution,[],[f97,f262]) ).
fof(f262,plain,
( ssItem(skac2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f826,plain,
( spl0_34
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f814,f270,f260,f205,f822]) ).
fof(f822,plain,
( spl0_34
<=> skac2 = hd(cons(skac2,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f814,plain,
( skac2 = hd(cons(skac2,nil))
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f811,f272]) ).
fof(f811,plain,
( skac2 = hd(cons(skac2,sk3))
| ~ spl0_3
| ~ spl0_14 ),
inference(resolution,[],[f682,f207]) ).
fof(f825,plain,
( spl0_34
| ~ spl0_1
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f813,f288,f260,f195,f822]) ).
fof(f813,plain,
( skac2 = hd(cons(skac2,nil))
| ~ spl0_1
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f809,f290]) ).
fof(f809,plain,
( skac2 = hd(cons(skac2,sk1))
| ~ spl0_1
| ~ spl0_14 ),
inference(resolution,[],[f682,f197]) ).
fof(f820,plain,
( spl0_33
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f810,f260,f200,f817]) ).
fof(f810,plain,
( skac2 = hd(cons(skac2,sk2))
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f682,f202]) ).
fof(f754,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f742,f275,f255,f210,f744]) ).
fof(f744,plain,
( spl0_31
<=> skac3 = hd(cons(skac3,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f255,plain,
( spl0_13
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f742,plain,
( skac3 = hd(cons(skac3,sk2))
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f739,f277]) ).
fof(f739,plain,
( skac3 = hd(cons(skac3,sk4))
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f681,f212]) ).
fof(f681,plain,
( ! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) )
| ~ spl0_13 ),
inference(resolution,[],[f97,f257]) ).
fof(f257,plain,
( ssItem(skac3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f753,plain,
( spl0_32
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f741,f270,f255,f205,f749]) ).
fof(f749,plain,
( spl0_32
<=> skac3 = hd(cons(skac3,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f741,plain,
( skac3 = hd(cons(skac3,nil))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f738,f272]) ).
fof(f738,plain,
( skac3 = hd(cons(skac3,sk3))
| ~ spl0_3
| ~ spl0_13 ),
inference(resolution,[],[f681,f207]) ).
fof(f752,plain,
( spl0_32
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f740,f288,f255,f195,f749]) ).
fof(f740,plain,
( skac3 = hd(cons(skac3,nil))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f736,f290]) ).
fof(f736,plain,
( skac3 = hd(cons(skac3,sk1))
| ~ spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f681,f197]) ).
fof(f747,plain,
( spl0_31
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f737,f255,f200,f744]) ).
fof(f737,plain,
( skac3 = hd(cons(skac3,sk2))
| ~ spl0_2
| ~ spl0_13 ),
inference(resolution,[],[f681,f202]) ).
fof(f700,plain,
( spl0_29
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f670,f275,f260,f210,f672]) ).
fof(f672,plain,
( spl0_29
<=> sk2 = tl(cons(skac2,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f670,plain,
( sk2 = tl(cons(skac2,sk2))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f667,f277]) ).
fof(f667,plain,
( sk4 = tl(cons(skac2,sk4))
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f562,f212]) ).
fof(f562,plain,
( ! [X1] :
( ~ ssList(X1)
| tl(cons(skac2,X1)) = X1 )
| ~ spl0_14 ),
inference(resolution,[],[f96,f262]) ).
fof(f699,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f669,f270,f260,f205,f677]) ).
fof(f677,plain,
( spl0_30
<=> nil = tl(cons(skac2,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f669,plain,
( nil = tl(cons(skac2,nil))
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f666,f272]) ).
fof(f666,plain,
( sk3 = tl(cons(skac2,sk3))
| ~ spl0_3
| ~ spl0_14 ),
inference(resolution,[],[f562,f207]) ).
fof(f680,plain,
( spl0_30
| ~ spl0_1
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f668,f288,f260,f195,f677]) ).
fof(f668,plain,
( nil = tl(cons(skac2,nil))
| ~ spl0_1
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f664,f290]) ).
fof(f664,plain,
( sk1 = tl(cons(skac2,sk1))
| ~ spl0_1
| ~ spl0_14 ),
inference(resolution,[],[f562,f197]) ).
fof(f675,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f665,f260,f200,f672]) ).
fof(f665,plain,
( sk2 = tl(cons(skac2,sk2))
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f562,f202]) ).
fof(f628,plain,
( spl0_27
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f616,f275,f255,f210,f618]) ).
fof(f618,plain,
( spl0_27
<=> sk2 = tl(cons(skac3,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f616,plain,
( sk2 = tl(cons(skac3,sk2))
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f613,f277]) ).
fof(f613,plain,
( sk4 = tl(cons(skac3,sk4))
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f561,f212]) ).
fof(f561,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 )
| ~ spl0_13 ),
inference(resolution,[],[f96,f257]) ).
fof(f627,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f615,f270,f255,f205,f623]) ).
fof(f623,plain,
( spl0_28
<=> nil = tl(cons(skac3,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f615,plain,
( nil = tl(cons(skac3,nil))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f612,f272]) ).
fof(f612,plain,
( sk3 = tl(cons(skac3,sk3))
| ~ spl0_3
| ~ spl0_13 ),
inference(resolution,[],[f561,f207]) ).
fof(f626,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f614,f288,f255,f195,f623]) ).
fof(f614,plain,
( nil = tl(cons(skac3,nil))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f610,f290]) ).
fof(f610,plain,
( sk1 = tl(cons(skac3,sk1))
| ~ spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f561,f197]) ).
fof(f621,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f611,f255,f200,f618]) ).
fof(f611,plain,
( sk2 = tl(cons(skac3,sk2))
| ~ spl0_2
| ~ spl0_13 ),
inference(resolution,[],[f561,f202]) ).
fof(f438,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f415,f275,f210,f429]) ).
fof(f415,plain,
( sk2 = app(nil,sk2)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f412,f277]) ).
fof(f412,plain,
( sk4 = app(nil,sk4)
| ~ spl0_4 ),
inference(resolution,[],[f74,f212]) ).
fof(f437,plain,
( spl0_25
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f414,f270,f205,f422]) ).
fof(f414,plain,
( nil = app(nil,nil)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f411,f272]) ).
fof(f411,plain,
( sk3 = app(nil,sk3)
| ~ spl0_3 ),
inference(resolution,[],[f74,f207]) ).
fof(f433,plain,
( spl0_25
| ~ spl0_1
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f413,f288,f195,f422]) ).
fof(f413,plain,
( nil = app(nil,nil)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f409,f290]) ).
fof(f409,plain,
( sk1 = app(nil,sk1)
| ~ spl0_1 ),
inference(resolution,[],[f74,f197]) ).
fof(f432,plain,
( spl0_26
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f410,f200,f429]) ).
fof(f410,plain,
( sk2 = app(nil,sk2)
| ~ spl0_2 ),
inference(resolution,[],[f74,f202]) ).
fof(f427,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f380,f275,f210,f417]) ).
fof(f380,plain,
( sk2 = app(sk2,nil)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f377,f277]) ).
fof(f377,plain,
( sk4 = app(sk4,nil)
| ~ spl0_4 ),
inference(resolution,[],[f73,f212]) ).
fof(f426,plain,
( spl0_25
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f379,f270,f205,f422]) ).
fof(f379,plain,
( nil = app(nil,nil)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f376,f272]) ).
fof(f376,plain,
( sk3 = app(sk3,nil)
| ~ spl0_3 ),
inference(resolution,[],[f73,f207]) ).
fof(f425,plain,
( spl0_25
| ~ spl0_1
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f378,f288,f195,f422]) ).
fof(f378,plain,
( nil = app(nil,nil)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f374,f290]) ).
fof(f374,plain,
( sk1 = app(sk1,nil)
| ~ spl0_1 ),
inference(resolution,[],[f73,f197]) ).
fof(f420,plain,
( spl0_24
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f375,f200,f417]) ).
fof(f375,plain,
( sk2 = app(sk2,nil)
| ~ spl0_2 ),
inference(resolution,[],[f73,f202]) ).
fof(f345,plain,
( spl0_23
| ~ spl0_4
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f339,f302,f275,f210,f341]) ).
fof(f341,plain,
( spl0_23
<=> duplicatefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f302,plain,
( spl0_22
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f339,plain,
( duplicatefreeP(sk2)
| ~ spl0_4
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f336,f277]) ).
fof(f336,plain,
( duplicatefreeP(sk4)
| ~ spl0_4
| ~ spl0_22 ),
inference(resolution,[],[f303,f212]) ).
fof(f303,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f344,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f334,f302,f200,f341]) ).
fof(f334,plain,
( duplicatefreeP(sk2)
| ~ spl0_2
| ~ spl0_22 ),
inference(resolution,[],[f303,f202]) ).
fof(f304,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f72,f302,f299]) ).
fof(f299,plain,
( spl0_21
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f297,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f54,f294]) ).
fof(f294,plain,
( spl0_20
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f291,plain,
( spl0_19
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f286,f280,f270,f288]) ).
fof(f280,plain,
( spl0_18
<=> sk1 = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f286,plain,
( nil = sk1
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f282,f272]) ).
fof(f282,plain,
( sk1 = sk3
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
spl0_18,
inference(avatar_split_clause,[],[f192,f280]) ).
fof(f278,plain,
spl0_17,
inference(avatar_split_clause,[],[f191,f275]) ).
fof(f273,plain,
spl0_16,
inference(avatar_split_clause,[],[f190,f270]) ).
fof(f268,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f11,f265]) ).
fof(f265,plain,
( spl0_15
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f263,plain,
spl0_14,
inference(avatar_split_clause,[],[f10,f260]) ).
fof(f258,plain,
spl0_13,
inference(avatar_split_clause,[],[f9,f255]) ).
fof(f253,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f250]) ).
fof(f248,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f245]) ).
fof(f245,plain,
( spl0_11
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f243,plain,
spl0_10,
inference(avatar_split_clause,[],[f6,f240]) ).
fof(f240,plain,
( spl0_10
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f238,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f235]) ).
fof(f235,plain,
( spl0_9
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f233,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f230]) ).
fof(f230,plain,
( spl0_8
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f228,plain,
spl0_7,
inference(avatar_split_clause,[],[f3,f225]) ).
fof(f225,plain,
( spl0_7
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f223,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f220]) ).
fof(f220,plain,
( spl0_6
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f218,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f215]) ).
fof(f215,plain,
( spl0_5
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f213,plain,
spl0_4,
inference(avatar_split_clause,[],[f189,f210]) ).
fof(f208,plain,
spl0_3,
inference(avatar_split_clause,[],[f188,f205]) ).
fof(f203,plain,
spl0_2,
inference(avatar_split_clause,[],[f187,f200]) ).
fof(f198,plain,
spl0_1,
inference(avatar_split_clause,[],[f186,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 17:29:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.41 % (11664)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (11687)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 % (11689)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (11691)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (11690)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 Vampire---4 for (569ds/0Mi)
% 0.20/0.42 % (11692)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 Vampire---4 for (531ds/0Mi)
% 0.20/0.42 % (11693)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 Vampire---4 for (522ds/0Mi)
% 0.20/0.42 % (11694)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 Vampire---4 for (497ds/0Mi)
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.46 TRYING [1]
% 0.20/0.47 TRYING [2]
% 0.20/0.47 TRYING [4]
% 0.20/0.55 TRYING [3]
% 0.20/0.56 TRYING [5]
% 0.20/0.70 TRYING [6]
% 0.20/0.73 TRYING [4]
% 2.13/0.79 % (11690)First to succeed.
% 2.13/0.80 % (11690)Refutation found. Thanks to Tanya!
% 2.13/0.80 % SZS status Unsatisfiable for Vampire---4
% 2.13/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 2.13/0.81 % (11690)------------------------------
% 2.13/0.81 % (11690)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.13/0.81 % (11690)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.13/0.81 % (11690)Termination reason: Refutation
% 2.13/0.81
% 2.13/0.81 % (11690)Memory used [KB]: 12792
% 2.13/0.81 % (11690)Time elapsed: 0.379 s
% 2.13/0.81 % (11690)------------------------------
% 2.13/0.81 % (11690)------------------------------
% 2.13/0.81 % (11664)Success in time 0.436 s
% 2.13/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------