TSTP Solution File: SWC344-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC344-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:38:19 EDT 2024
% Result : Unsatisfiable 1.00s 0.84s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 173
% Syntax : Number of formulae : 700 ( 8 unt; 0 def)
% Number of atoms : 3517 ( 850 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 4902 (2085 ~;2751 |; 0 &)
% ( 66 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 72 ( 70 usr; 67 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 612 ( 612 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1039,plain,
$false,
inference(avatar_sat_refutation,[],[f412,f420,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f473,f477,f481,f485,f489,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f561,f565,f569,f573,f577,f581,f585,f589,f593,f597,f601,f605,f609,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f660,f661,f677,f690,f699,f718,f727,f736,f761,f790,f799,f826,f837,f844,f851,f858,f865,f868,f871,f874,f878,f881,f884,f926,f963,f966,f969,f972,f973,f974,f975,f976,f979,f982,f985,f988,f991,f994,f997,f1000,f1003,f1006,f1007,f1010,f1013,f1016,f1017,f1020,f1023,f1026,f1029,f1032,f1035,f1038]) ).
fof(f1038,plain,
( spl0_72
| spl0_63
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1037,f535,f787,f862]) ).
fof(f862,plain,
( spl0_72
<=> ssItem(sk9(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f787,plain,
( spl0_63
<=> sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f535,plain,
( spl0_33
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1037,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f1036,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f1036,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f888,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f888,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f887,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_33 ),
inference(superposition,[],[f536,f194]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f536,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk9(X7,X6)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f1035,plain,
( spl0_71
| spl0_63
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1034,f539,f787,f855]) ).
fof(f855,plain,
( spl0_71
<=> ssList(sk10(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f539,plain,
( spl0_34
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1034,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f1033,f193]) ).
fof(f1033,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f890,f192]) ).
fof(f890,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f889]) ).
fof(f889,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_34 ),
inference(superposition,[],[f540,f194]) ).
fof(f540,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk10(X7,X6)) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f1032,plain,
( spl0_70
| spl0_63
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1031,f547,f787,f848]) ).
fof(f848,plain,
( spl0_70
<=> lt(sk7(sk6,sk5),sk9(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f547,plain,
( spl0_36
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1031,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f1030,f193]) ).
fof(f1030,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f913,f192]) ).
fof(f913,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f912]) ).
fof(f912,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_36 ),
inference(superposition,[],[f548,f194]) ).
fof(f548,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f1029,plain,
( spl0_69
| spl0_63
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1028,f515,f787,f841]) ).
fof(f841,plain,
( spl0_69
<=> sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f515,plain,
( spl0_28
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1028,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1027,f193]) ).
fof(f1027,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f930,f192]) ).
fof(f930,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f929]) ).
fof(f929,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_28 ),
inference(superposition,[],[f516,f194]) ).
fof(f516,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1026,plain,
( spl0_56
| spl0_63
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1025,f427,f787,f683]) ).
fof(f683,plain,
( spl0_56
<=> ssItem(sk7(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f427,plain,
( spl0_6
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1025,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1024,f193]) ).
fof(f1024,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f775,f192]) ).
fof(f775,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f774]) ).
fof(f774,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_6 ),
inference(superposition,[],[f428,f194]) ).
fof(f428,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk7(X7,X6)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f1023,plain,
( spl0_68
| spl0_63
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1022,f543,f787,f834]) ).
fof(f834,plain,
( spl0_68
<=> sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f543,plain,
( spl0_35
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1022,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f1021,f193]) ).
fof(f1021,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f950,f192]) ).
fof(f950,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f949]) ).
fof(f949,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_35 ),
inference(superposition,[],[f544,f194]) ).
fof(f544,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f1020,plain,
( spl0_56
| spl0_61
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1019,f435,f733,f683]) ).
fof(f733,plain,
( spl0_61
<=> ssList(sk14(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f435,plain,
( spl0_8
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1019,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1018,f193]) ).
fof(f1018,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f703,f192]) ).
fof(f703,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_8 ),
inference(superposition,[],[f436,f194]) ).
fof(f436,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| ssItem(sk7(X7,X6)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1017,plain,
( spl0_56
| spl0_64
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f938,f439,f796,f683]) ).
fof(f796,plain,
( spl0_64
<=> sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f439,plain,
( spl0_9
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f938,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f937,f193]) ).
fof(f937,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f777,f192]) ).
fof(f777,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f776]) ).
fof(f776,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ spl0_9 ),
inference(superposition,[],[f440,f194]) ).
fof(f440,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk7(X7,X6)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f1016,plain,
( spl0_56
| spl0_62
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1015,f443,f758,f683]) ).
fof(f758,plain,
( spl0_62
<=> lt(sk13(sk6,sk5),sk11(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f443,plain,
( spl0_10
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1015,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1014,f193]) ).
fof(f1014,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f750,f192]) ).
fof(f750,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f749]) ).
fof(f749,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_10 ),
inference(superposition,[],[f444,f194]) ).
fof(f444,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk7(X7,X6)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f1013,plain,
( spl0_56
| spl0_60
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1012,f431,f724,f683]) ).
fof(f724,plain,
( spl0_60
<=> ssItem(sk13(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f431,plain,
( spl0_7
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1012,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1011,f193]) ).
fof(f1011,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f701,f192]) ).
fof(f701,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f700]) ).
fof(f700,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_7 ),
inference(superposition,[],[f432,f194]) ).
fof(f432,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| ssItem(sk7(X7,X6)) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1010,plain,
( spl0_71
| spl0_61
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1009,f579,f733,f855]) ).
fof(f579,plain,
( spl0_44
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1009,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f1008,f193]) ).
fof(f1008,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f748,f192]) ).
fof(f748,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f747]) ).
fof(f747,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_44 ),
inference(superposition,[],[f580,f194]) ).
fof(f580,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| ssList(sk10(X7,X6)) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f1007,plain,
( spl0_71
| spl0_64
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f946,f583,f796,f855]) ).
fof(f583,plain,
( spl0_45
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f946,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f945,f193]) ).
fof(f945,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f896,f192]) ).
fof(f896,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f895]) ).
fof(f895,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ spl0_45 ),
inference(superposition,[],[f584,f194]) ).
fof(f584,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk10(X7,X6)) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f1006,plain,
( spl0_71
| spl0_62
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1005,f587,f758,f855]) ).
fof(f587,plain,
( spl0_46
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1005,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_46 ),
inference(subsumption_resolution,[],[f1004,f193]) ).
fof(f1004,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_46 ),
inference(subsumption_resolution,[],[f769,f192]) ).
fof(f769,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f768]) ).
fof(f768,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_46 ),
inference(superposition,[],[f588,f194]) ).
fof(f588,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk10(X7,X6)) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1003,plain,
( spl0_71
| spl0_60
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1002,f567,f724,f855]) ).
fof(f567,plain,
( spl0_41
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1002,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f1001,f193]) ).
fof(f1001,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f746,f192]) ).
fof(f746,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f745]) ).
fof(f745,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_41 ),
inference(superposition,[],[f568,f194]) ).
fof(f568,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| ssList(sk10(X7,X6)) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1000,plain,
( spl0_72
| spl0_60
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f999,f551,f724,f862]) ).
fof(f551,plain,
( spl0_37
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f999,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f998,f193]) ).
fof(f998,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f742,f192]) ).
fof(f742,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f741]) ).
fof(f741,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_37 ),
inference(superposition,[],[f552,f194]) ).
fof(f552,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| ssItem(sk9(X7,X6)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f997,plain,
( spl0_70
| spl0_60
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f996,f575,f724,f848]) ).
fof(f575,plain,
( spl0_43
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f996,plain,
( ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f995,f193]) ).
fof(f995,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f767,f192]) ).
fof(f767,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f766]) ).
fof(f766,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_43 ),
inference(superposition,[],[f576,f194]) ).
fof(f576,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f994,plain,
( spl0_69
| spl0_60
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f993,f519,f724,f841]) ).
fof(f519,plain,
( spl0_29
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f993,plain,
( ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f992,f193]) ).
fof(f992,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f820,f192]) ).
fof(f820,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_29 ),
inference(superposition,[],[f520,f194]) ).
fof(f520,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f991,plain,
( spl0_68
| spl0_60
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f990,f571,f724,f834]) ).
fof(f571,plain,
( spl0_42
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f990,plain,
( ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f989,f193]) ).
fof(f989,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f894,f192]) ).
fof(f894,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f893]) ).
fof(f893,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_42 ),
inference(superposition,[],[f572,f194]) ).
fof(f572,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f988,plain,
( spl0_72
| spl0_62
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f987,f563,f758,f862]) ).
fof(f563,plain,
( spl0_40
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f987,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f986,f193]) ).
fof(f986,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f765,f192]) ).
fof(f765,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f764]) ).
fof(f764,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_40 ),
inference(superposition,[],[f564,f194]) ).
fof(f564,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk9(X7,X6)) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f985,plain,
( spl0_70
| spl0_62
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f984,f611,f758,f848]) ).
fof(f611,plain,
( spl0_52
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f984,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f983,f193]) ).
fof(f983,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f773,f192]) ).
fof(f773,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f772]) ).
fof(f772,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_52 ),
inference(superposition,[],[f612,f194]) ).
fof(f612,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f982,plain,
( spl0_69
| spl0_62
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f981,f531,f758,f841]) ).
fof(f531,plain,
( spl0_32
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f981,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f980,f193]) ).
fof(f980,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f911,f192]) ).
fof(f911,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f910]) ).
fof(f910,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_32 ),
inference(superposition,[],[f532,f194]) ).
fof(f532,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f979,plain,
( spl0_68
| spl0_62
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f978,f603,f758,f834]) ).
fof(f603,plain,
( spl0_50
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f978,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f977,f193]) ).
fof(f977,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f919,f192]) ).
fof(f919,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f918]) ).
fof(f918,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_50 ),
inference(superposition,[],[f604,f194]) ).
fof(f604,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f976,plain,
( spl0_69
| spl0_64
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f934,f527,f796,f841]) ).
fof(f527,plain,
( spl0_31
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f934,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f933,f193]) ).
fof(f933,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f932,f192]) ).
fof(f932,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f931]) ).
fof(f931,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_31 ),
inference(superposition,[],[f528,f194]) ).
fof(f528,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f975,plain,
( spl0_70
| spl0_64
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f942,f607,f796,f848]) ).
fof(f607,plain,
( spl0_51
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f942,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f941,f193]) ).
fof(f941,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f928,f192]) ).
fof(f928,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f927]) ).
fof(f927,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_51 ),
inference(superposition,[],[f608,f194]) ).
fof(f608,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f974,plain,
( spl0_68
| spl0_64
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f954,f599,f796,f834]) ).
fof(f599,plain,
( spl0_49
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f954,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f953,f193]) ).
fof(f953,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f952,f192]) ).
fof(f952,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f951]) ).
fof(f951,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_49 ),
inference(superposition,[],[f600,f194]) ).
fof(f600,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f973,plain,
( spl0_72
| spl0_64
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f958,f559,f796,f862]) ).
fof(f559,plain,
( spl0_39
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f958,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f957,f193]) ).
fof(f957,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f892,f192]) ).
fof(f892,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f891]) ).
fof(f891,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ spl0_39 ),
inference(superposition,[],[f560,f194]) ).
fof(f560,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk9(X7,X6)) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f972,plain,
( spl0_72
| spl0_61
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f971,f555,f733,f862]) ).
fof(f555,plain,
( spl0_38
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f971,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f970,f193]) ).
fof(f970,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f744,f192]) ).
fof(f744,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f743]) ).
fof(f743,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_38 ),
inference(superposition,[],[f556,f194]) ).
fof(f556,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| ssItem(sk9(X7,X6)) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f969,plain,
( spl0_70
| spl0_61
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f968,f595,f733,f848]) ).
fof(f595,plain,
( spl0_48
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f968,plain,
( ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f967,f193]) ).
fof(f967,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f771,f192]) ).
fof(f771,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f770]) ).
fof(f770,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_48 ),
inference(superposition,[],[f596,f194]) ).
fof(f596,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f966,plain,
( spl0_69
| spl0_61
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f965,f523,f733,f841]) ).
fof(f523,plain,
( spl0_30
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f965,plain,
( ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f964,f193]) ).
fof(f964,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f886,f192]) ).
fof(f886,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f885]) ).
fof(f885,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_30 ),
inference(superposition,[],[f524,f194]) ).
fof(f524,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f963,plain,
( spl0_68
| spl0_61
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f962,f591,f733,f834]) ).
fof(f591,plain,
( spl0_47
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f962,plain,
( ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f961,f193]) ).
fof(f961,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f898,f192]) ).
fof(f898,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f897]) ).
fof(f897,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_47 ),
inference(superposition,[],[f592,f194]) ).
fof(f592,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f926,plain,
( ~ spl0_56
| ~ spl0_59
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70
| ~ spl0_71
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f925,plain,
( $false
| ~ spl0_56
| ~ spl0_59
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70
| ~ spl0_71
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f924,f850]) ).
fof(f850,plain,
( lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f924,plain,
( ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_56
| ~ spl0_59
| ~ spl0_68
| ~ spl0_69
| ~ spl0_71
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f923,f864]) ).
fof(f864,plain,
( ssItem(sk9(sk6,sk5))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f923,plain,
( ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_56
| ~ spl0_59
| ~ spl0_68
| ~ spl0_69
| ~ spl0_71 ),
inference(subsumption_resolution,[],[f922,f857]) ).
fof(f857,plain,
( ssList(sk10(sk6,sk5))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f922,plain,
( ~ ssList(sk10(sk6,sk5))
| ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_56
| ~ spl0_59
| ~ spl0_68
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f921]) ).
fof(f921,plain,
( sk3 != sk3
| ~ ssList(sk10(sk6,sk5))
| ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_56
| ~ spl0_59
| ~ spl0_68
| ~ spl0_69 ),
inference(superposition,[],[f917,f836]) ).
fof(f836,plain,
( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f917,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_56
| ~ spl0_59
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f916,f685]) ).
fof(f685,plain,
( ssItem(sk7(sk6,sk5))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f916,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(sk7(sk6,sk5),X0)
| ~ ssItem(sk7(sk6,sk5)) )
| ~ spl0_59
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f915,f717]) ).
fof(f717,plain,
( ssList(sk8(sk6,sk5))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl0_59
<=> ssList(sk8(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f915,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(sk7(sk6,sk5),X0)
| ~ ssList(sk8(sk6,sk5))
| ~ ssItem(sk7(sk6,sk5)) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f914]) ).
fof(f914,plain,
( ! [X0,X1] :
( sk5 != sk5
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(sk7(sk6,sk5),X0)
| ~ ssList(sk8(sk6,sk5))
| ~ ssItem(sk7(sk6,sk5)) )
| ~ spl0_69 ),
inference(superposition,[],[f196,f843]) ).
fof(f843,plain,
( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f196,axiom,
! [X8,X6,X9,X7] :
( sk5 != app(X7,cons(X6,nil))
| sk3 != app(cons(X8,nil),X9)
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ lt(X6,X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f884,plain,
( spl0_72
| spl0_58
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f883,f499,f696,f862]) ).
fof(f696,plain,
( spl0_58
<=> ssList(sk12(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f499,plain,
( spl0_24
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f883,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f882,f193]) ).
fof(f882,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f738,f192]) ).
fof(f738,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f737]) ).
fof(f737,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_24 ),
inference(superposition,[],[f500,f194]) ).
fof(f500,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| ssItem(sk9(X7,X6)) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f881,plain,
( spl0_71
| spl0_58
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f880,f503,f696,f855]) ).
fof(f503,plain,
( spl0_25
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f880,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f879,f193]) ).
fof(f879,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f740,f192]) ).
fof(f740,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f739]) ).
fof(f739,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_25 ),
inference(superposition,[],[f504,f194]) ).
fof(f504,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| ssList(sk10(X7,X6)) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f878,plain,
( spl0_70
| spl0_58
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f877,f511,f696,f848]) ).
fof(f511,plain,
( spl0_27
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f877,plain,
( ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f876,f193]) ).
fof(f876,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f763,f192]) ).
fof(f763,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f762,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_27 ),
inference(superposition,[],[f512,f194]) ).
fof(f512,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f874,plain,
( spl0_69
| spl0_58
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f873,f495,f696,f841]) ).
fof(f495,plain,
( spl0_23
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f873,plain,
( ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f872,f193]) ).
fof(f872,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f805,f192]) ).
fof(f805,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f804]) ).
fof(f804,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_23 ),
inference(superposition,[],[f496,f194]) ).
fof(f496,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f871,plain,
( spl0_68
| spl0_58
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f870,f507,f696,f834]) ).
fof(f507,plain,
( spl0_26
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f870,plain,
( ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f869,f193]) ).
fof(f869,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f818,f192]) ).
fof(f818,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f817]) ).
fof(f817,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_26 ),
inference(superposition,[],[f508,f194]) ).
fof(f508,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f868,plain,
( spl0_59
| spl0_57
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f867,f447,f687,f715]) ).
fof(f687,plain,
( spl0_57
<=> ssItem(sk11(sk6,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f447,plain,
( spl0_11
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f867,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f866,f193]) ).
fof(f866,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f705,f192]) ).
fof(f705,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f704]) ).
fof(f704,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_11 ),
inference(superposition,[],[f448,f194]) ).
fof(f448,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| ssList(sk8(X7,X6)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f865,plain,
( spl0_72
| spl0_57
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f860,f455,f687,f862]) ).
fof(f455,plain,
( spl0_13
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f860,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f859,f193]) ).
fof(f859,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f707,f192]) ).
fof(f707,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f706]) ).
fof(f706,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_13 ),
inference(superposition,[],[f456,f194]) ).
fof(f456,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| ssItem(sk9(X7,X6)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f858,plain,
( spl0_71
| spl0_57
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f853,f459,f687,f855]) ).
fof(f459,plain,
( spl0_14
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f853,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f852,f193]) ).
fof(f852,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f709,f192]) ).
fof(f709,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f708]) ).
fof(f708,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_14 ),
inference(superposition,[],[f460,f194]) ).
fof(f460,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| ssList(sk10(X7,X6)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f851,plain,
( spl0_70
| spl0_57
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f846,f467,f687,f848]) ).
fof(f467,plain,
( spl0_16
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| lt(sk7(X7,X6),sk9(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f846,plain,
( ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f845,f193]) ).
fof(f845,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f752,f192]) ).
fof(f752,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f751]) ).
fof(f751,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_16 ),
inference(superposition,[],[f468,f194]) ).
fof(f468,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f844,plain,
( spl0_69
| spl0_57
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f839,f451,f687,f841]) ).
fof(f451,plain,
( spl0_12
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f839,plain,
( ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f838,f193]) ).
fof(f838,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f779,f192]) ).
fof(f779,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f778]) ).
fof(f778,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_12 ),
inference(superposition,[],[f452,f194]) ).
fof(f452,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6 )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f837,plain,
( spl0_68
| spl0_57
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f832,f463,f687,f834]) ).
fof(f463,plain,
( spl0_15
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f832,plain,
( ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f831,f193]) ).
fof(f831,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f781,f192]) ).
fof(f781,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f780]) ).
fof(f780,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_15 ),
inference(superposition,[],[f464,f194]) ).
fof(f464,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f826,plain,
( ~ spl0_57
| ~ spl0_58
| ~ spl0_60
| ~ spl0_61
| ~ spl0_62
| ~ spl0_63
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl0_57
| ~ spl0_58
| ~ spl0_60
| ~ spl0_61
| ~ spl0_62
| ~ spl0_63
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f824,f760]) ).
fof(f760,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f824,plain,
( ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_57
| ~ spl0_58
| ~ spl0_60
| ~ spl0_61
| ~ spl0_63
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f823,f726]) ).
fof(f726,plain,
( ssItem(sk13(sk6,sk5))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f823,plain,
( ~ ssItem(sk13(sk6,sk5))
| ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_57
| ~ spl0_58
| ~ spl0_61
| ~ spl0_63
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f822,f735]) ).
fof(f735,plain,
( ssList(sk14(sk6,sk5))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f822,plain,
( ~ ssList(sk14(sk6,sk5))
| ~ ssItem(sk13(sk6,sk5))
| ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_57
| ~ spl0_58
| ~ spl0_63
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f821]) ).
fof(f821,plain,
( sk3 != sk3
| ~ ssList(sk14(sk6,sk5))
| ~ ssItem(sk13(sk6,sk5))
| ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_57
| ~ spl0_58
| ~ spl0_63
| ~ spl0_64 ),
inference(superposition,[],[f803,f798]) ).
fof(f798,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f803,plain,
( ! [X0,X1] :
( sk3 != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sk11(sk6,sk5)) )
| ~ spl0_57
| ~ spl0_58
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f802,f689]) ).
fof(f689,plain,
( ssItem(sk11(sk6,sk5))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f802,plain,
( ! [X0,X1] :
( sk3 != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sk11(sk6,sk5))
| ~ ssItem(sk11(sk6,sk5)) )
| ~ spl0_58
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f801,f698]) ).
fof(f698,plain,
( ssList(sk12(sk6,sk5))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f801,plain,
( ! [X0,X1] :
( sk3 != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sk11(sk6,sk5))
| ~ ssList(sk12(sk6,sk5))
| ~ ssItem(sk11(sk6,sk5)) )
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f800]) ).
fof(f800,plain,
( ! [X0,X1] :
( sk6 != sk6
| sk3 != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sk11(sk6,sk5))
| ~ ssList(sk12(sk6,sk5))
| ~ ssItem(sk11(sk6,sk5)) )
| ~ spl0_63 ),
inference(superposition,[],[f197,f789]) ).
fof(f789,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f197,axiom,
! [X8,X6,X9,X7] :
( sk6 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil))
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ lt(X8,X6)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f799,plain,
( spl0_59
| spl0_64
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f794,f487,f796,f715]) ).
fof(f487,plain,
( spl0_21
<=> ! [X6,X7] :
( sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f794,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f793,f193]) ).
fof(f793,plain,
( ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f792,f192]) ).
fof(f792,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f791]) ).
fof(f791,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ spl0_21 ),
inference(superposition,[],[f488,f194]) ).
fof(f488,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk8(X7,X6)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f790,plain,
( spl0_59
| spl0_63
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f785,f475,f787,f715]) ).
fof(f475,plain,
( spl0_18
<=> ! [X6,X7] :
( app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f785,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f784,f193]) ).
fof(f784,plain,
( ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f783,f192]) ).
fof(f783,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f782]) ).
fof(f782,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_18 ),
inference(superposition,[],[f476,f194]) ).
fof(f476,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk8(X7,X6)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f761,plain,
( spl0_59
| spl0_62
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f756,f491,f758,f715]) ).
fof(f491,plain,
( spl0_22
<=> ! [X6,X7] :
( lt(sk13(X7,X6),sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f756,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f755,f193]) ).
fof(f755,plain,
( ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f754,f192]) ).
fof(f754,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f753]) ).
fof(f753,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_22 ),
inference(superposition,[],[f492,f194]) ).
fof(f492,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk8(X7,X6)) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f736,plain,
( spl0_59
| spl0_61
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f731,f483,f733,f715]) ).
fof(f483,plain,
( spl0_20
<=> ! [X6,X7] :
( ssList(sk14(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f731,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f730,f193]) ).
fof(f730,plain,
( ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f729,f192]) ).
fof(f729,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f728]) ).
fof(f728,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_20 ),
inference(superposition,[],[f484,f194]) ).
fof(f484,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk14(X7,X6))
| ssList(sk8(X7,X6)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f727,plain,
( spl0_59
| spl0_60
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f722,f479,f724,f715]) ).
fof(f479,plain,
( spl0_19
<=> ! [X6,X7] :
( ssItem(sk13(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f722,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f721,f193]) ).
fof(f721,plain,
( ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f720,f192]) ).
fof(f720,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_19 ),
inference(superposition,[],[f480,f194]) ).
fof(f480,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk13(X7,X6))
| ssList(sk8(X7,X6)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f718,plain,
( spl0_59
| spl0_58
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f713,f471,f696,f715]) ).
fof(f471,plain,
( spl0_17
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssList(sk8(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f713,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f712,f193]) ).
fof(f712,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f711,f192]) ).
fof(f711,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f710]) ).
fof(f710,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_17 ),
inference(superposition,[],[f472,f194]) ).
fof(f472,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| ssList(sk8(X7,X6)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f699,plain,
( spl0_56
| spl0_58
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f694,f423,f696,f683]) ).
fof(f423,plain,
( spl0_5
<=> ! [X6,X7] :
( ssList(sk12(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f694,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f693,f193]) ).
fof(f693,plain,
( ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f692,f192]) ).
fof(f692,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f691]) ).
fof(f691,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_5 ),
inference(superposition,[],[f424,f194]) ).
fof(f424,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssList(sk12(X7,X6))
| ssItem(sk7(X7,X6)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f690,plain,
( spl0_56
| spl0_57
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f681,f414,f687,f683]) ).
fof(f414,plain,
( spl0_3
<=> ! [X6,X7] :
( ssItem(sk11(X7,X6))
| ~ ssList(X6)
| ~ ssList(X7)
| sk4 != app(app(X6,sk3),X7)
| ssItem(sk7(X7,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f681,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f680,f193]) ).
fof(f680,plain,
( ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f679,f192]) ).
fof(f679,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f678]) ).
fof(f678,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk6)
| ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_3 ),
inference(superposition,[],[f415,f194]) ).
fof(f415,plain,
( ! [X6,X7] :
( sk4 != app(app(X6,sk3),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| ssItem(sk11(X7,X6))
| ssItem(sk7(X7,X6)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f677,plain,
spl0_4,
inference(avatar_split_clause,[],[f195,f417]) ).
fof(f417,plain,
( spl0_4
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f195,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f661,plain,
( spl0_52
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f396,f405,f417,f611]) ).
fof(f405,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f396,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f296,f190,f191,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f296,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_111) ).
fof(f660,plain,
( spl0_51
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f395,f405,f417,f607]) ).
fof(f395,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f295,f190,f191,f191,f190,f191]) ).
fof(f295,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_110) ).
fof(f659,plain,
( spl0_50
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f394,f405,f417,f603]) ).
fof(f394,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f294,f190,f191,f191,f190,f191]) ).
fof(f294,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_109) ).
fof(f658,plain,
( spl0_49
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f393,f405,f417,f599]) ).
fof(f393,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f293,f190,f191,f191,f191,f190,f191]) ).
fof(f293,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_108) ).
fof(f657,plain,
( spl0_48
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f392,f405,f417,f595]) ).
fof(f392,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f292,f190,f191,f190,f191]) ).
fof(f292,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_107) ).
fof(f656,plain,
( spl0_47
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f391,f405,f417,f591]) ).
fof(f391,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f291,f190,f191,f191,f190,f191]) ).
fof(f291,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_106) ).
fof(f655,plain,
( spl0_46
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f390,f405,f417,f587]) ).
fof(f390,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f290,f190,f191,f190,f191]) ).
fof(f290,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_105) ).
fof(f654,plain,
( spl0_45
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f389,f405,f417,f583]) ).
fof(f389,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f289,f190,f191,f191,f190,f191]) ).
fof(f289,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_104) ).
fof(f653,plain,
( spl0_44
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f388,f405,f417,f579]) ).
fof(f388,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f288,f190,f191,f190,f191]) ).
fof(f288,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_103) ).
fof(f652,plain,
( spl0_43
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f387,f405,f417,f575]) ).
fof(f387,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f287,f190,f191,f190,f191]) ).
fof(f287,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_102) ).
fof(f651,plain,
( spl0_42
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f386,f405,f417,f571]) ).
fof(f386,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f286,f190,f191,f191,f190,f191]) ).
fof(f286,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_101) ).
fof(f650,plain,
( spl0_41
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f385,f405,f417,f567]) ).
fof(f385,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f285,f190,f191,f190,f191]) ).
fof(f285,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_100) ).
fof(f649,plain,
( spl0_40
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f384,f405,f417,f563]) ).
fof(f384,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f284,f190,f191,f190,f191]) ).
fof(f284,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_99) ).
fof(f648,plain,
( spl0_39
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f383,f405,f417,f559]) ).
fof(f383,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f283,f190,f191,f191,f190,f191]) ).
fof(f283,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_98) ).
fof(f647,plain,
( spl0_38
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f382,f405,f417,f555]) ).
fof(f382,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f282,f190,f191,f190,f191]) ).
fof(f282,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_97) ).
fof(f646,plain,
( spl0_37
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f381,f405,f417,f551]) ).
fof(f381,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f281,f190,f191,f190,f191]) ).
fof(f281,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_96) ).
fof(f645,plain,
( spl0_36
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f380,f405,f417,f547]) ).
fof(f380,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f280,f190,f191,f190,f191]) ).
fof(f280,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_95) ).
fof(f644,plain,
( spl0_35
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f379,f405,f417,f543]) ).
fof(f379,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f279,f190,f191,f191,f190,f191]) ).
fof(f279,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_94) ).
fof(f643,plain,
( spl0_34
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f378,f405,f417,f539]) ).
fof(f378,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f278,f190,f191,f190,f191]) ).
fof(f278,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_93) ).
fof(f642,plain,
( spl0_33
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f377,f405,f417,f535]) ).
fof(f377,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f277,f190,f191,f190,f191]) ).
fof(f277,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_92) ).
fof(f641,plain,
( spl0_32
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f376,f405,f417,f531]) ).
fof(f376,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f276,f190,f191,f190,f191]) ).
fof(f276,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_91) ).
fof(f640,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f375,f405,f417,f527]) ).
fof(f375,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f275,f190,f191,f191,f190,f191]) ).
fof(f275,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_90) ).
fof(f639,plain,
( spl0_30
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f374,f405,f417,f523]) ).
fof(f374,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f274,f190,f191,f190,f191]) ).
fof(f274,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_89) ).
fof(f638,plain,
( spl0_29
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f373,f405,f417,f519]) ).
fof(f373,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f273,f190,f191,f190,f191]) ).
fof(f273,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_88) ).
fof(f637,plain,
( spl0_28
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f372,f405,f417,f515]) ).
fof(f372,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f272,f190,f191,f190,f191]) ).
fof(f272,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_87) ).
fof(f636,plain,
( spl0_27
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f371,f405,f417,f511]) ).
fof(f371,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f271,f190,f191,f190,f191]) ).
fof(f271,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_86) ).
fof(f635,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f370,f405,f417,f507]) ).
fof(f370,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f270,f190,f191,f191,f190,f191]) ).
fof(f270,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_85) ).
fof(f634,plain,
( spl0_25
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f369,f405,f417,f503]) ).
fof(f369,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f269,f190,f191,f190,f191]) ).
fof(f269,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_84) ).
fof(f633,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f368,f405,f417,f499]) ).
fof(f368,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f268,f190,f191,f190,f191]) ).
fof(f268,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_83) ).
fof(f632,plain,
( spl0_23
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f367,f405,f417,f495]) ).
fof(f367,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f267,f190,f191,f190,f191]) ).
fof(f267,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_82) ).
fof(f631,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f366,f405,f417,f491]) ).
fof(f366,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f266,f190,f191,f190,f191]) ).
fof(f266,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_81) ).
fof(f630,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f365,f405,f417,f487]) ).
fof(f365,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f265,f190,f191,f191,f190,f191]) ).
fof(f265,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_80) ).
fof(f629,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f364,f405,f417,f483]) ).
fof(f364,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f264,f190,f191,f190,f191]) ).
fof(f264,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_79) ).
fof(f628,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f363,f405,f417,f479]) ).
fof(f363,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f263,f190,f191,f190,f191]) ).
fof(f263,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_78) ).
fof(f627,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f362,f405,f417,f475]) ).
fof(f362,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f262,f190,f191,f190,f191]) ).
fof(f262,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_77) ).
fof(f626,plain,
( spl0_17
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f361,f405,f417,f471]) ).
fof(f361,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f261,f190,f191,f190,f191]) ).
fof(f261,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_76) ).
fof(f625,plain,
( spl0_16
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f360,f405,f417,f467]) ).
fof(f360,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f260,f190,f191,f190,f191]) ).
fof(f260,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_75) ).
fof(f624,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f359,f405,f417,f463]) ).
fof(f359,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f259,f190,f191,f191,f190,f191]) ).
fof(f259,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_74) ).
fof(f623,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f358,f405,f417,f459]) ).
fof(f358,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f258,f190,f191,f190,f191]) ).
fof(f258,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_73) ).
fof(f622,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f357,f405,f417,f455]) ).
fof(f357,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f257,f190,f191,f190,f191]) ).
fof(f257,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_72) ).
fof(f621,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f356,f405,f417,f451]) ).
fof(f356,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f256,f190,f191,f190,f191]) ).
fof(f256,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_71) ).
fof(f620,plain,
( spl0_11
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f355,f405,f417,f447]) ).
fof(f355,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f255,f190,f191,f190,f191]) ).
fof(f255,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_70) ).
fof(f619,plain,
( spl0_10
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f354,f405,f417,f443]) ).
fof(f354,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f254,f190,f191,f190,f191]) ).
fof(f254,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_69) ).
fof(f618,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f353,f405,f417,f439]) ).
fof(f353,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f253,f190,f191,f191,f190,f191]) ).
fof(f253,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_68) ).
fof(f617,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f352,f405,f417,f435]) ).
fof(f352,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f252,f190,f191,f190,f191]) ).
fof(f252,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_67) ).
fof(f616,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f351,f405,f417,f431]) ).
fof(f351,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f251,f190,f191,f190,f191]) ).
fof(f251,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_66) ).
fof(f615,plain,
( spl0_6
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f350,f405,f417,f427]) ).
fof(f350,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f250,f190,f191,f190,f191]) ).
fof(f250,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_65) ).
fof(f614,plain,
( spl0_5
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f349,f405,f417,f423]) ).
fof(f349,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f249,f190,f191,f190,f191]) ).
fof(f249,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_64) ).
fof(f613,plain,
( spl0_52
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f348,f409,f417,f611]) ).
fof(f409,plain,
( spl0_2
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f348,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f248,f191,f191,f190,f191]) ).
fof(f248,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_63) ).
fof(f609,plain,
( spl0_51
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f347,f409,f417,f607]) ).
fof(f347,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f247,f191,f191,f191,f190,f191]) ).
fof(f247,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_62) ).
fof(f605,plain,
( spl0_50
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f346,f409,f417,f603]) ).
fof(f346,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f246,f191,f191,f191,f190,f191]) ).
fof(f246,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_61) ).
fof(f601,plain,
( spl0_49
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f345,f409,f417,f599]) ).
fof(f345,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f245,f191,f191,f191,f191,f190,f191]) ).
fof(f245,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_60) ).
fof(f597,plain,
( spl0_48
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f344,f409,f417,f595]) ).
fof(f344,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f244,f191,f191,f190,f191]) ).
fof(f244,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_59) ).
fof(f593,plain,
( spl0_47
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f343,f409,f417,f591]) ).
fof(f343,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f243,f191,f191,f191,f190,f191]) ).
fof(f243,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_58) ).
fof(f589,plain,
( spl0_46
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f342,f409,f417,f587]) ).
fof(f342,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f242,f191,f191,f190,f191]) ).
fof(f242,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_57) ).
fof(f585,plain,
( spl0_45
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f341,f409,f417,f583]) ).
fof(f341,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f241,f191,f191,f191,f190,f191]) ).
fof(f241,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).
fof(f581,plain,
( spl0_44
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f340,f409,f417,f579]) ).
fof(f340,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f240,f191,f191,f190,f191]) ).
fof(f240,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).
fof(f577,plain,
( spl0_43
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f339,f409,f417,f575]) ).
fof(f339,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f239,f191,f191,f190,f191]) ).
fof(f239,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).
fof(f573,plain,
( spl0_42
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f338,f409,f417,f571]) ).
fof(f338,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f238,f191,f191,f191,f190,f191]) ).
fof(f238,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).
fof(f569,plain,
( spl0_41
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f337,f409,f417,f567]) ).
fof(f337,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f237,f191,f191,f190,f191]) ).
fof(f237,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).
fof(f565,plain,
( spl0_40
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f336,f409,f417,f563]) ).
fof(f336,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f236,f191,f191,f190,f191]) ).
fof(f236,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).
fof(f561,plain,
( spl0_39
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f335,f409,f417,f559]) ).
fof(f335,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f235,f191,f191,f191,f190,f191]) ).
fof(f235,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).
fof(f557,plain,
( spl0_38
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f334,f409,f417,f555]) ).
fof(f334,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f234,f191,f191,f190,f191]) ).
fof(f234,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).
fof(f553,plain,
( spl0_37
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f333,f409,f417,f551]) ).
fof(f333,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f233,f191,f191,f190,f191]) ).
fof(f233,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).
fof(f549,plain,
( spl0_36
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f332,f409,f417,f547]) ).
fof(f332,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f232,f191,f191,f190,f191]) ).
fof(f232,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).
fof(f545,plain,
( spl0_35
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f331,f409,f417,f543]) ).
fof(f331,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f231,f191,f191,f191,f190,f191]) ).
fof(f231,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).
fof(f541,plain,
( spl0_34
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f330,f409,f417,f539]) ).
fof(f330,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f230,f191,f191,f190,f191]) ).
fof(f230,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).
fof(f537,plain,
( spl0_33
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f329,f409,f417,f535]) ).
fof(f329,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f229,f191,f191,f190,f191]) ).
fof(f229,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).
fof(f533,plain,
( spl0_32
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f328,f409,f417,f531]) ).
fof(f328,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f228,f191,f191,f190,f191]) ).
fof(f228,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).
fof(f529,plain,
( spl0_31
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f327,f409,f417,f527]) ).
fof(f327,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f227,f191,f191,f191,f190,f191]) ).
fof(f227,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).
fof(f525,plain,
( spl0_30
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f326,f409,f417,f523]) ).
fof(f326,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f226,f191,f191,f190,f191]) ).
fof(f226,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).
fof(f521,plain,
( spl0_29
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f325,f409,f417,f519]) ).
fof(f325,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f225,f191,f191,f190,f191]) ).
fof(f225,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).
fof(f517,plain,
( spl0_28
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f324,f409,f417,f515]) ).
fof(f324,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f224,f191,f191,f190,f191]) ).
fof(f224,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).
fof(f513,plain,
( spl0_27
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f323,f409,f417,f511]) ).
fof(f323,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f223,f191,f191,f190,f191]) ).
fof(f223,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).
fof(f509,plain,
( spl0_26
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f322,f409,f417,f507]) ).
fof(f322,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f222,f191,f191,f191,f190,f191]) ).
fof(f222,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).
fof(f505,plain,
( spl0_25
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f321,f409,f417,f503]) ).
fof(f321,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f221,f191,f191,f190,f191]) ).
fof(f221,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).
fof(f501,plain,
( spl0_24
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f320,f409,f417,f499]) ).
fof(f320,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f220,f191,f191,f190,f191]) ).
fof(f220,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).
fof(f497,plain,
( spl0_23
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f319,f409,f417,f495]) ).
fof(f319,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f219,f191,f191,f190,f191]) ).
fof(f219,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).
fof(f493,plain,
( spl0_22
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f318,f409,f417,f491]) ).
fof(f318,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f218,f191,f191,f190,f191]) ).
fof(f218,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).
fof(f489,plain,
( spl0_21
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f317,f409,f417,f487]) ).
fof(f317,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f217,f191,f191,f191,f190,f191]) ).
fof(f217,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).
fof(f485,plain,
( spl0_20
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f316,f409,f417,f483]) ).
fof(f316,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f216,f191,f191,f190,f191]) ).
fof(f216,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).
fof(f481,plain,
( spl0_19
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f315,f409,f417,f479]) ).
fof(f315,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f215,f191,f191,f190,f191]) ).
fof(f215,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).
fof(f477,plain,
( spl0_18
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f314,f409,f417,f475]) ).
fof(f314,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f214,f191,f191,f190,f191]) ).
fof(f214,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).
fof(f473,plain,
( spl0_17
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f313,f409,f417,f471]) ).
fof(f313,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f213,f191,f191,f190,f191]) ).
fof(f213,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
fof(f469,plain,
( spl0_16
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f312,f409,f417,f467]) ).
fof(f312,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f212,f191,f191,f190,f191]) ).
fof(f212,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| lt(sk7(X7,X6),sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
fof(f465,plain,
( spl0_15
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f311,f409,f417,f463]) ).
fof(f311,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| sk3 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f211,f191,f191,f191,f190,f191]) ).
fof(f211,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| sk1 = app(cons(sk9(X7,X6),nil),sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
fof(f461,plain,
( spl0_14
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f310,f409,f417,f459]) ).
fof(f310,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f210,f191,f191,f190,f191]) ).
fof(f210,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssList(sk10(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
fof(f457,plain,
( spl0_13
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f309,f409,f417,f455]) ).
fof(f309,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f209,f191,f191,f190,f191]) ).
fof(f209,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssItem(sk9(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
fof(f453,plain,
( spl0_12
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f308,f409,f417,f451]) ).
fof(f308,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f208,f191,f191,f190,f191]) ).
fof(f208,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| app(sk8(X7,X6),cons(sk7(X7,X6),nil)) = X6
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
fof(f449,plain,
( spl0_11
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f307,f409,f417,f447]) ).
fof(f307,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f207,f191,f191,f190,f191]) ).
fof(f207,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssList(sk8(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f445,plain,
( spl0_10
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f306,f409,f417,f443]) ).
fof(f306,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f206,f191,f191,f190,f191]) ).
fof(f206,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| lt(sk13(X7,X6),sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f441,plain,
( spl0_9
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f305,f409,f417,f439]) ).
fof(f305,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| sk3 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f205,f191,f191,f191,f190,f191]) ).
fof(f205,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk1 = app(sk14(X7,X6),cons(sk13(X7,X6),nil))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f437,plain,
( spl0_8
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f304,f409,f417,f435]) ).
fof(f304,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk14(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f204,f191,f191,f190,f191]) ).
fof(f204,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk14(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f433,plain,
( spl0_7
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f303,f409,f417,f431]) ).
fof(f303,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk13(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f203,f191,f191,f190,f191]) ).
fof(f203,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk13(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f429,plain,
( spl0_6
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f302,f409,f417,f427]) ).
fof(f302,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f202,f191,f191,f190,f191]) ).
fof(f202,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| app(cons(sk11(X7,X6),nil),sk12(X7,X6)) = X7
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f425,plain,
( spl0_5
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f301,f409,f417,f423]) ).
fof(f301,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssList(sk12(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f201,f191,f191,f190,f191]) ).
fof(f201,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk12(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f421,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f300,f405,f417,f414]) ).
fof(f300,plain,
! [X6,X7] :
( nil != sk4
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f200,f190,f191,f190,f191]) ).
fof(f200,axiom,
! [X6,X7] :
( nil != sk2
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f420,plain,
( spl0_3
| ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f299,f409,f417,f414]) ).
fof(f299,plain,
! [X6,X7] :
( nil = sk3
| ~ strictorderedP(sk3)
| ssItem(sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk4 != app(app(X6,sk3),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f199,f191,f191,f190,f191]) ).
fof(f199,axiom,
! [X6,X7] :
( nil = sk1
| ~ strictorderedP(sk1)
| ssItem(sk11(X7,X6))
| ssItem(sk7(X7,X6))
| sk2 != app(app(X6,sk1),X7)
| ~ ssList(X7)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f412,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f198,f409,f405]) ).
fof(f198,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC344-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 02:37:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 % (12144)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.74 % (12137)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.74 % (12139)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.74 % (12140)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.74 % (12138)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.54/0.74 % (12141)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.74 % (12142)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.74 % (12143)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.54/0.75 % (12144)Instruction limit reached!
% 0.54/0.75 % (12144)------------------------------
% 0.54/0.75 % (12144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (12144)Termination reason: Unknown
% 0.54/0.75 % (12144)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (12144)Memory used [KB]: 1890
% 0.54/0.75 % (12144)Time elapsed: 0.017 s
% 0.54/0.75 % (12144)Instructions burned: 57 (million)
% 0.54/0.75 % (12144)------------------------------
% 0.54/0.75 % (12144)------------------------------
% 0.54/0.76 % (12137)Instruction limit reached!
% 0.54/0.76 % (12137)------------------------------
% 0.54/0.76 % (12137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (12137)Termination reason: Unknown
% 0.54/0.76 % (12137)Termination phase: Saturation
% 0.54/0.76
% 0.54/0.76 % (12137)Memory used [KB]: 1648
% 0.54/0.76 % (12137)Time elapsed: 0.018 s
% 0.54/0.76 % (12140)Instruction limit reached!
% 0.54/0.76 % (12140)------------------------------
% 0.54/0.76 % (12140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (12137)Instructions burned: 34 (million)
% 0.54/0.76 % (12137)------------------------------
% 0.54/0.76 % (12137)------------------------------
% 0.54/0.76 % (12141)Instruction limit reached!
% 0.54/0.76 % (12141)------------------------------
% 0.54/0.76 % (12141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (12141)Termination reason: Unknown
% 0.54/0.76 % (12141)Termination phase: Saturation
% 0.54/0.76
% 0.54/0.76 % (12141)Memory used [KB]: 1768
% 0.54/0.76 % (12141)Time elapsed: 0.018 s
% 0.54/0.76 % (12141)Instructions burned: 35 (million)
% 0.54/0.76 % (12141)------------------------------
% 0.54/0.76 % (12141)------------------------------
% 0.54/0.76 % (12140)Termination reason: Unknown
% 0.54/0.76 % (12140)Termination phase: Saturation
% 0.54/0.76
% 0.54/0.76 % (12140)Memory used [KB]: 1722
% 0.54/0.76 % (12140)Time elapsed: 0.018 s
% 0.54/0.76 % (12140)Instructions burned: 34 (million)
% 0.54/0.76 % (12140)------------------------------
% 0.54/0.76 % (12140)------------------------------
% 0.54/0.76 % (12145)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.65/0.76 % (12146)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.65/0.76 % (12147)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.65/0.76 % (12148)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.65/0.76 % (12142)Instruction limit reached!
% 0.65/0.76 % (12142)------------------------------
% 0.65/0.76 % (12142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (12142)Termination reason: Unknown
% 0.65/0.76 % (12142)Termination phase: Saturation
% 0.65/0.76
% 0.65/0.76 % (12142)Memory used [KB]: 1664
% 0.65/0.76 % (12142)Time elapsed: 0.024 s
% 0.65/0.76 % (12142)Instructions burned: 45 (million)
% 0.65/0.76 % (12142)------------------------------
% 0.65/0.76 % (12142)------------------------------
% 0.65/0.76 % (12138)Instruction limit reached!
% 0.65/0.76 % (12138)------------------------------
% 0.65/0.76 % (12138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (12138)Termination reason: Unknown
% 0.65/0.76 % (12138)Termination phase: Saturation
% 0.65/0.76
% 0.65/0.76 % (12138)Memory used [KB]: 1653
% 0.65/0.76 % (12138)Time elapsed: 0.026 s
% 0.65/0.76 % (12138)Instructions burned: 52 (million)
% 0.65/0.76 % (12138)------------------------------
% 0.65/0.76 % (12138)------------------------------
% 0.65/0.77 % (12149)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.65/0.77 % (12150)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.65/0.77 % (12145)Instruction limit reached!
% 0.65/0.77 % (12145)------------------------------
% 0.65/0.77 % (12145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (12145)Termination reason: Unknown
% 0.65/0.77 % (12145)Termination phase: Saturation
% 0.65/0.77
% 0.65/0.77 % (12145)Memory used [KB]: 2166
% 0.65/0.77 % (12145)Time elapsed: 0.039 s
% 0.65/0.77 % (12145)Instructions burned: 57 (million)
% 0.65/0.77 % (12145)------------------------------
% 0.65/0.77 % (12145)------------------------------
% 0.65/0.78 % (12151)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.65/0.78 % (12143)Instruction limit reached!
% 0.65/0.78 % (12143)------------------------------
% 0.65/0.78 % (12143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12143)Termination reason: Unknown
% 0.65/0.78 % (12143)Termination phase: Saturation
% 0.65/0.78
% 0.65/0.78 % (12143)Memory used [KB]: 2020
% 0.65/0.78 % (12143)Time elapsed: 0.038 s
% 0.65/0.78 % (12143)Instructions burned: 83 (million)
% 0.65/0.78 % (12143)------------------------------
% 0.65/0.78 % (12143)------------------------------
% 0.65/0.78 % (12139)Instruction limit reached!
% 0.65/0.78 % (12139)------------------------------
% 0.65/0.78 % (12139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12139)Termination reason: Unknown
% 0.65/0.78 % (12139)Termination phase: Saturation
% 0.65/0.78
% 0.65/0.78 % (12139)Memory used [KB]: 2017
% 0.65/0.78 % (12139)Time elapsed: 0.042 s
% 0.65/0.78 % (12139)Instructions burned: 79 (million)
% 0.65/0.78 % (12139)------------------------------
% 0.65/0.78 % (12139)------------------------------
% 0.65/0.78 % (12152)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.65/0.78 % (12150)Refutation not found, incomplete strategy% (12150)------------------------------
% 0.65/0.78 % (12150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12150)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.78
% 0.65/0.78 % (12150)Memory used [KB]: 1609
% 0.65/0.78 % (12150)Time elapsed: 0.014 s
% 0.65/0.78 % (12150)Instructions burned: 26 (million)
% 0.65/0.78 % (12150)------------------------------
% 0.65/0.78 % (12150)------------------------------
% 0.65/0.78 % (12146)Instruction limit reached!
% 0.65/0.78 % (12146)------------------------------
% 0.65/0.78 % (12146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12146)Termination reason: Unknown
% 0.65/0.78 % (12146)Termination phase: Saturation
% 0.65/0.78
% 0.65/0.78 % (12146)Memory used [KB]: 1752
% 0.65/0.78 % (12146)Time elapsed: 0.025 s
% 0.65/0.78 % (12146)Instructions burned: 52 (million)
% 0.65/0.78 % (12146)------------------------------
% 0.65/0.78 % (12146)------------------------------
% 0.65/0.78 % (12153)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.65/0.79 % (12154)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.65/0.79 % (12148)Instruction limit reached!
% 0.65/0.79 % (12148)------------------------------
% 0.65/0.79 % (12148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79 % (12148)Termination reason: Unknown
% 0.65/0.79 % (12155)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.65/0.79 % (12148)Termination phase: Saturation
% 0.65/0.79
% 0.65/0.79 % (12148)Memory used [KB]: 1841
% 0.65/0.79 % (12148)Time elapsed: 0.029 s
% 0.65/0.79 % (12148)Instructions burned: 52 (million)
% 0.65/0.79 % (12148)------------------------------
% 0.65/0.79 % (12148)------------------------------
% 0.65/0.79 % (12156)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.89/0.81 % (12156)Instruction limit reached!
% 0.89/0.81 % (12156)------------------------------
% 0.89/0.81 % (12156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.81 % (12156)Termination reason: Unknown
% 0.89/0.81 % (12156)Termination phase: Saturation
% 0.89/0.81
% 0.89/0.81 % (12156)Memory used [KB]: 1523
% 0.89/0.81 % (12156)Time elapsed: 0.017 s
% 0.89/0.81 % (12156)Instructions burned: 33 (million)
% 0.89/0.81 % (12156)------------------------------
% 0.89/0.81 % (12156)------------------------------
% 0.89/0.81 % (12157)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.89/0.82 % (12155)Instruction limit reached!
% 0.89/0.82 % (12155)------------------------------
% 0.89/0.82 % (12155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.82 % (12155)Termination reason: Unknown
% 0.89/0.82 % (12155)Termination phase: Saturation
% 0.89/0.82
% 0.89/0.82 % (12155)Memory used [KB]: 2740
% 0.89/0.82 % (12155)Time elapsed: 0.031 s
% 0.89/0.82 % (12155)Instructions burned: 62 (million)
% 0.89/0.82 % (12155)------------------------------
% 0.89/0.82 % (12155)------------------------------
% 0.89/0.82 % (12158)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.89/0.83 % (12157)First to succeed.
% 0.89/0.83 % (12154)Instruction limit reached!
% 0.89/0.83 % (12154)------------------------------
% 0.89/0.83 % (12154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.83 % (12154)Termination reason: Unknown
% 0.89/0.83 % (12154)Termination phase: Saturation
% 0.89/0.83
% 0.89/0.83 % (12154)Memory used [KB]: 2684
% 0.89/0.83 % (12154)Time elapsed: 0.048 s
% 0.89/0.83 % (12154)Instructions burned: 93 (million)
% 0.89/0.83 % (12154)------------------------------
% 0.89/0.83 % (12154)------------------------------
% 1.00/0.84 % (12159)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 1.00/0.84 % (12152)Instruction limit reached!
% 1.00/0.84 % (12152)------------------------------
% 1.00/0.84 % (12152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.84 % (12152)Termination reason: Unknown
% 1.00/0.84 % (12152)Termination phase: Saturation
% 1.00/0.84
% 1.00/0.84 % (12152)Memory used [KB]: 1938
% 1.00/0.84 % (12152)Time elapsed: 0.059 s
% 1.00/0.84 % (12152)Instructions burned: 118 (million)
% 1.00/0.84 % (12152)------------------------------
% 1.00/0.84 % (12152)------------------------------
% 1.00/0.84 % (12160)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 1.00/0.84 % (12151)Instruction limit reached!
% 1.00/0.84 % (12151)------------------------------
% 1.00/0.84 % (12151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.84 % (12151)Termination reason: Unknown
% 1.00/0.84 % (12151)Termination phase: Saturation
% 1.00/0.84
% 1.00/0.84 % (12151)Memory used [KB]: 2271
% 1.00/0.84 % (12151)Time elapsed: 0.067 s
% 1.00/0.84 % (12151)Instructions burned: 244 (million)
% 1.00/0.84 % (12151)------------------------------
% 1.00/0.84 % (12151)------------------------------
% 1.00/0.84 % (12157)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12136"
% 1.00/0.84 % (12157)Refutation found. Thanks to Tanya!
% 1.00/0.84 % SZS status Unsatisfiable for theBenchmark
% 1.00/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 1.00/0.85 % (12157)------------------------------
% 1.00/0.85 % (12157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.85 % (12157)Termination reason: Refutation
% 1.00/0.85
% 1.00/0.85 % (12157)Memory used [KB]: 1536
% 1.00/0.85 % (12157)Time elapsed: 0.033 s
% 1.00/0.85 % (12157)Instructions burned: 64 (million)
% 1.00/0.85 % (12136)Success in time 0.491 s
% 1.00/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------