TSTP Solution File: SWC183-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC183-1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:49:12 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 58
% Syntax : Number of formulae : 173 ( 15 unt; 0 def)
% Number of atoms : 505 ( 90 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 612 ( 280 ~; 298 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 35 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1265,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f267,f282,f339,f378,f380,f390,f392,f394,f402,f404,f406,f434,f446,f451,f568,f614,f648,f675,f830,f834,f851,f906,f921,f926,f933,f970,f997,f1048,f1066,f1097,f1098,f1151,f1179,f1243,f1264]) ).
fof(f1264,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_37
| ~ spl0_22
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1263,f1239,f448,f564,f371,f255]) ).
fof(f255,plain,
( spl0_5
<=> ssItem(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f371,plain,
( spl0_15
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f564,plain,
( spl0_37
<=> nil = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f448,plain,
( spl0_22
<=> nil = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1239,plain,
( spl0_94
<=> sk3 = cons(sk8,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1263,plain,
( nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk8)
| ~ spl0_22
| ~ spl0_94 ),
inference(forward_demodulation,[],[f1257,f450]) ).
fof(f450,plain,
( nil = tl(sk3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f1257,plain,
( cons(sk5,nil) = tl(sk3)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk8)
| ~ spl0_94 ),
inference(superposition,[],[f96,f1241]) ).
fof(f1241,plain,
( sk3 = cons(sk8,cons(sk5,nil))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause96) ).
fof(f1243,plain,
( ~ spl0_15
| spl0_94
| ~ spl0_43
| ~ spl0_57
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1228,f972,f837,f646,f1239,f371]) ).
fof(f646,plain,
( spl0_43
<=> ! [X0] :
( cons(sk8,X0) = app(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f837,plain,
( spl0_57
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f972,plain,
( spl0_74
<=> sk3 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1228,plain,
( sk3 = cons(sk8,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_43
| ~ spl0_57
| ~ spl0_74 ),
inference(superposition,[],[f647,f1106]) ).
fof(f1106,plain,
( sk3 = app(sk3,cons(sk5,nil))
| ~ spl0_57
| ~ spl0_74 ),
inference(superposition,[],[f839,f974]) ).
fof(f974,plain,
( sk3 = sk6
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f839,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f647,plain,
( ! [X0] :
( cons(sk8,X0) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f1179,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_19
| ~ spl0_22
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1178,f1147,f448,f419,f331,f255]) ).
fof(f331,plain,
( spl0_12
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f419,plain,
( spl0_19
<=> nil = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1147,plain,
( spl0_90
<=> sk3 = cons(sk8,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1178,plain,
( nil = sk7
| ~ ssList(sk7)
| ~ ssItem(sk8)
| ~ spl0_22
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1172,f450]) ).
fof(f1172,plain,
( sk7 = tl(sk3)
| ~ ssList(sk7)
| ~ ssItem(sk8)
| ~ spl0_90 ),
inference(superposition,[],[f96,f1149]) ).
fof(f1149,plain,
( sk3 = cons(sk8,sk7)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1151,plain,
( ~ spl0_12
| spl0_90
| ~ spl0_43
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1136,f837,f646,f1147,f331]) ).
fof(f1136,plain,
( sk3 = cons(sk8,sk7)
| ~ ssList(sk7)
| ~ spl0_43
| ~ spl0_57 ),
inference(superposition,[],[f647,f1067]) ).
fof(f1067,plain,
( sk3 = app(sk3,sk7)
| ~ spl0_57 ),
inference(superposition,[],[f207,f839]) ).
fof(f207,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_6) ).
fof(f195,axiom,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_10) ).
fof(f1098,plain,
( spl0_74
| ~ spl0_75
| ~ spl0_16
| ~ spl0_23
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f998,f967,f453,f375,f976,f972]) ).
fof(f976,plain,
( spl0_75
<=> frontsegP(sk3,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f375,plain,
( spl0_16
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f453,plain,
( spl0_23
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f967,plain,
( spl0_73
<=> frontsegP(sk6,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f998,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| ~ frontsegP(sk3,sk6)
| sk3 = sk6
| ~ spl0_73 ),
inference(resolution,[],[f969,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause129) ).
fof(f969,plain,
( frontsegP(sk6,sk3)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f1097,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| spl0_75
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1081,f837,f976,f453,f375,f371]) ).
fof(f1081,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_57 ),
inference(superposition,[],[f219,f839]) ).
fof(f219,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause144) ).
fof(f1066,plain,
( ~ spl0_13
| spl0_11
| spl0_80 ),
inference(avatar_split_clause,[],[f1065,f1030,f327,f335]) ).
fof(f335,plain,
( spl0_13
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f327,plain,
( spl0_11
<=> nil = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1030,plain,
( spl0_80
<=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1065,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_80 ),
inference(resolution,[],[f1032,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause75) ).
fof(f1032,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| spl0_80 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1048,plain,
( ~ spl0_13
| ~ spl0_80
| spl0_57
| ~ spl0_55
| ~ spl0_59
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1019,f923,f849,f827,f837,f1030,f335]) ).
fof(f827,plain,
( spl0_55
<=> frontsegP(sk3,app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f849,plain,
( spl0_59
<=> ! [X0] :
( ~ ssList(X0)
| sk3 = cons(sk8,X0)
| ~ frontsegP(sk3,cons(sk8,X0))
| ~ ssList(cons(sk8,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f923,plain,
( spl0_67
<=> app(sk6,cons(sk5,nil)) = cons(sk8,tl(app(sk6,cons(sk5,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1019,plain,
( ~ frontsegP(sk3,app(sk6,cons(sk5,nil)))
| sk3 = app(sk6,cons(sk5,nil))
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_59
| ~ spl0_67 ),
inference(superposition,[],[f850,f925]) ).
fof(f925,plain,
( app(sk6,cons(sk5,nil)) = cons(sk8,tl(app(sk6,cons(sk5,nil))))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f850,plain,
( ! [X0] :
( ~ frontsegP(sk3,cons(sk8,X0))
| sk3 = cons(sk8,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk8,X0)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f997,plain,
( ~ spl0_16
| spl0_14
| spl0_69 ),
inference(avatar_split_clause,[],[f996,f949,f367,f375]) ).
fof(f367,plain,
( spl0_14
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f949,plain,
( spl0_69
<=> ssList(tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f996,plain,
( nil = sk6
| ~ ssList(sk6)
| spl0_69 ),
inference(resolution,[],[f951,f75]) ).
fof(f951,plain,
( ~ ssList(tl(sk6))
| spl0_69 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f970,plain,
( ~ spl0_16
| ~ spl0_69
| spl0_73
| ~ spl0_56
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f938,f930,f832,f967,f949,f375]) ).
fof(f832,plain,
( spl0_56
<=> ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk8,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f930,plain,
( spl0_68
<=> sk6 = cons(sk8,tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f938,plain,
( frontsegP(sk6,sk3)
| ~ ssList(tl(sk6))
| ~ ssList(sk6)
| ~ spl0_56
| ~ spl0_68 ),
inference(superposition,[],[f833,f932]) ).
fof(f932,plain,
( sk6 = cons(sk8,tl(sk6))
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f833,plain,
( ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk8,X0)) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f933,plain,
( ~ spl0_16
| spl0_14
| spl0_68
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f927,f917,f930,f367,f375]) ).
fof(f917,plain,
( spl0_66
<=> sk8 = hd(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f927,plain,
( sk6 = cons(sk8,tl(sk6))
| nil = sk6
| ~ ssList(sk6)
| ~ spl0_66 ),
inference(superposition,[],[f104,f919]) ).
fof(f919,plain,
( sk8 = hd(sk6)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause104) ).
fof(f926,plain,
( ~ spl0_13
| spl0_11
| spl0_67
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f914,f903,f923,f327,f335]) ).
fof(f903,plain,
( spl0_64
<=> sk8 = hd(app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f914,plain,
( app(sk6,cons(sk5,nil)) = cons(sk8,tl(app(sk6,cons(sk5,nil))))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_64 ),
inference(superposition,[],[f104,f905]) ).
fof(f905,plain,
( sk8 = hd(app(sk6,cons(sk5,nil)))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f921,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_14
| spl0_66
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f913,f903,f917,f367,f375,f371]) ).
fof(f913,plain,
( sk8 = hd(sk6)
| nil = sk6
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_64 ),
inference(superposition,[],[f123,f905]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause123) ).
fof(f906,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_11
| spl0_64
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f901,f443,f903,f327,f335,f331]) ).
fof(f443,plain,
( spl0_21
<=> sk8 = hd(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f901,plain,
( sk8 = hd(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f895,f445]) ).
fof(f445,plain,
( sk8 = hd(sk3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f895,plain,
( hd(sk3) = hd(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7) ),
inference(superposition,[],[f123,f207]) ).
fof(f851,plain,
( ~ spl0_23
| spl0_59
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f847,f832,f849,f453]) ).
fof(f847,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk8,X0))
| ~ ssList(sk3)
| ~ frontsegP(sk3,cons(sk8,X0))
| sk3 = cons(sk8,X0) )
| ~ spl0_56 ),
inference(duplicate_literal_removal,[],[f845]) ).
fof(f845,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk8,X0))
| ~ ssList(sk3)
| ~ ssList(cons(sk8,X0))
| ~ frontsegP(sk3,cons(sk8,X0))
| sk3 = cons(sk8,X0) )
| ~ spl0_56 ),
inference(resolution,[],[f833,f129]) ).
fof(f834,plain,
( ~ spl0_23
| spl0_56
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f821,f646,f832,f453]) ).
fof(f821,plain,
( ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(cons(sk8,X0))
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl0_43 ),
inference(duplicate_literal_removal,[],[f820]) ).
fof(f820,plain,
( ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(cons(sk8,X0))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl0_43 ),
inference(superposition,[],[f219,f647]) ).
fof(f830,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_55 ),
inference(avatar_split_clause,[],[f819,f827,f453,f335,f331]) ).
fof(f819,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ ssList(sk3)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7) ),
inference(superposition,[],[f219,f207]) ).
fof(f675,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| spl0_23 ),
inference(resolution,[],[f455,f205]) ).
fof(f205,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_1) ).
fof(f455,plain,
( ~ ssList(sk3)
| spl0_23 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f648,plain,
( ~ spl0_5
| spl0_43
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f635,f269,f646,f255]) ).
fof(f269,plain,
( spl0_8
<=> sk3 = cons(sk8,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f635,plain,
( ! [X0] :
( cons(sk8,X0) = app(sk3,X0)
| ~ ssList(X0)
| ~ ssItem(sk8) )
| ~ spl0_8 ),
inference(superposition,[],[f120,f271]) ).
fof(f271,plain,
( sk3 = cons(sk8,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause120) ).
fof(f614,plain,
( ~ spl0_18
| ~ spl0_17
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f587,f564,f383,f387]) ).
fof(f387,plain,
( spl0_18
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f383,plain,
( spl0_17
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f587,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f585]) ).
fof(f585,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_37 ),
inference(superposition,[],[f98,f566]) ).
fof(f566,plain,
( nil = cons(sk5,nil)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause98) ).
fof(f568,plain,
( ~ spl0_15
| spl0_37
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f560,f367,f327,f564,f371]) ).
fof(f560,plain,
( nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f74,f408]) ).
fof(f408,plain,
( nil = app(nil,cons(sk5,nil))
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f329,f369]) ).
fof(f369,plain,
( nil = sk6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f329,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause74) ).
fof(f451,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_22
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f355,f269,f448,f387,f255]) ).
fof(f355,plain,
( nil = tl(sk3)
| ~ ssList(nil)
| ~ ssItem(sk8)
| ~ spl0_8 ),
inference(superposition,[],[f96,f271]) ).
fof(f446,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_21
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f356,f269,f443,f387,f255]) ).
fof(f356,plain,
( sk8 = hd(sk3)
| ~ ssList(nil)
| ~ ssItem(sk8)
| ~ spl0_8 ),
inference(superposition,[],[f97,f271]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause97) ).
fof(f434,plain,
( ~ spl0_17
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f432,f419,f250,f383]) ).
fof(f250,plain,
( spl0_4
<=> memberP(sk7,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f432,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f425,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause71) ).
fof(f425,plain,
( memberP(nil,sk5)
| ~ spl0_4
| ~ spl0_19 ),
inference(superposition,[],[f252,f421]) ).
fof(f421,plain,
( nil = sk7
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f252,plain,
( memberP(sk7,sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f406,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_13 ),
inference(avatar_split_clause,[],[f405,f335,f375,f371]) ).
fof(f405,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_13 ),
inference(resolution,[],[f337,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause85) ).
fof(f337,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_13 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f404,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f333,f194]) ).
fof(f194,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_9) ).
fof(f333,plain,
( ~ ssList(sk7)
| spl0_12 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f402,plain,
( ~ spl0_17
| ~ spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f401,f367,f246,f383]) ).
fof(f246,plain,
( spl0_3
<=> memberP(sk6,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f401,plain,
( ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_14 ),
inference(resolution,[],[f397,f71]) ).
fof(f397,plain,
( memberP(nil,sk5)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f248,f369]) ).
fof(f248,plain,
( memberP(sk6,sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f394,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f385,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_7) ).
fof(f385,plain,
( ~ ssItem(sk5)
| spl0_17 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f392,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f389,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause8) ).
fof(f389,plain,
( ~ ssList(nil)
| spl0_18 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_15 ),
inference(avatar_split_clause,[],[f381,f371,f387,f383]) ).
fof(f381,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_15 ),
inference(resolution,[],[f373,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause86) ).
fof(f373,plain,
( ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f380,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| spl0_16 ),
inference(resolution,[],[f377,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_8) ).
fof(f377,plain,
( ~ ssList(sk6)
| spl0_16 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f364,f327,f375,f371,f367]) ).
fof(f364,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = sk6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f362,plain,
( nil != nil
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = sk6
| ~ spl0_11 ),
inference(superposition,[],[f118,f329]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',clause118) ).
fof(f339,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f320,f264,f335,f331,f327]) ).
fof(f264,plain,
( spl0_7
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f320,plain,
( nil != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[],[f118,f207]) ).
fof(f282,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f202,f264,f269]) ).
fof(f202,axiom,
( nil = sk3
| sk3 = cons(sk8,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_17) ).
fof(f267,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f198,f264,f255]) ).
fof(f198,axiom,
( nil = sk3
| ssItem(sk8) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_13) ).
fof(f253,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f196,f250,f246]) ).
fof(f196,axiom,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
file('/export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC183-1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:32:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.QDfhNp3gmJ/Vampire---4.8_30821
% 0.60/0.76 % (30989)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (30990)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (30991)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 Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (30988)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 Vampire---4 for (2996ds/51Mi)
% 0.60/0.76 % (30992)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (30993)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 Vampire---4 for (2996ds/83Mi)
% 0.60/0.76 % (30994)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76 % (30987)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 Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (30994)Refutation not found, incomplete strategy% (30994)------------------------------
% 0.60/0.76 % (30994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (30994)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30994)Memory used [KB]: 1186
% 0.60/0.76 % (30994)Time elapsed: 0.004 s
% 0.60/0.76 % (30994)Instructions burned: 4 (million)
% 0.60/0.76 % (30994)------------------------------
% 0.60/0.76 % (30994)------------------------------
% 0.60/0.77 % (30991)Refutation not found, incomplete strategy% (30991)------------------------------
% 0.60/0.77 % (30991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (30991)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (30991)Memory used [KB]: 1360
% 0.60/0.77 % (30991)Time elapsed: 0.008 s
% 0.60/0.77 % (30991)Instructions burned: 15 (million)
% 0.60/0.77 % (30991)------------------------------
% 0.60/0.77 % (30991)------------------------------
% 0.60/0.77 % (30995)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 Vampire---4 for (2995ds/55Mi)
% 0.60/0.77 % (30996)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 Vampire---4 for (2995ds/50Mi)
% 0.60/0.78 % (30990)Instruction limit reached!
% 0.60/0.78 % (30990)------------------------------
% 0.60/0.78 % (30990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (30990)Termination reason: Unknown
% 0.60/0.78 % (30990)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (30990)Memory used [KB]: 1573
% 0.60/0.78 % (30990)Time elapsed: 0.017 s
% 0.60/0.78 % (30990)Instructions burned: 33 (million)
% 0.60/0.78 % (30990)------------------------------
% 0.60/0.78 % (30990)------------------------------
% 0.60/0.78 % (30987)Instruction limit reached!
% 0.60/0.78 % (30987)------------------------------
% 0.60/0.78 % (30987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (30987)Termination reason: Unknown
% 0.60/0.78 % (30987)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (30987)Memory used [KB]: 1477
% 0.60/0.78 % (30987)Time elapsed: 0.022 s
% 0.60/0.78 % (30987)Instructions burned: 34 (million)
% 0.60/0.78 % (30987)------------------------------
% 0.60/0.78 % (30987)------------------------------
% 0.60/0.78 % (30988)First to succeed.
% 0.60/0.78 % (30988)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30986"
% 0.60/0.79 % (30997)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.79 % (30992)Instruction limit reached!
% 0.60/0.79 % (30992)------------------------------
% 0.60/0.79 % (30992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (30992)Termination reason: Unknown
% 0.60/0.79 % (30992)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (30988)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (30988)------------------------------
% 0.60/0.79 % (30988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (30988)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (30988)Memory used [KB]: 1594
% 0.60/0.79 % (30988)Time elapsed: 0.025 s
% 0.60/0.79 % (30988)Instructions burned: 40 (million)
% 0.60/0.79 % (30986)Success in time 0.422 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------