TSTP Solution File: SWC295-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC295-1 : 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 : n027.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 09:50:04 EDT 2024
% Result : Unsatisfiable 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 59
% Syntax : Number of formulae : 176 ( 16 unt; 0 def)
% Number of atoms : 512 ( 95 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 620 ( 284 ~; 302 |; 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 : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1701,plain,
$false,
inference(avatar_sat_refutation,[],[f257,f282,f297,f354,f393,f410,f419,f423,f433,f435,f437,f439,f441,f453,f458,f504,f583,f686,f690,f714,f753,f780,f840,f874,f937,f973,f988,f993,f1151,f1192,f1219,f1380,f1407,f1530,f1550,f1691]) ).
fof(f1691,plain,
( spl0_66
| ~ spl0_17
| ~ spl0_21
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1688,f1051,f430,f386,f871]) ).
fof(f871,plain,
( spl0_66
<=> nil = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f386,plain,
( spl0_17
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f430,plain,
( spl0_21
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1051,plain,
( spl0_82
<=> nil = app(nil,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1688,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f1681]) ).
fof(f1681,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_82 ),
inference(superposition,[],[f119,f1053]) ).
fof(f1053,plain,
( nil = app(nil,cons(sk5,nil))
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause119) ).
fof(f1550,plain,
( spl0_82
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1549,f382,f342,f1051]) ).
fof(f342,plain,
( spl0_13
<=> nil = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f382,plain,
( spl0_16
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1549,plain,
( nil = app(nil,cons(sk5,nil))
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f344,f384]) ).
fof(f384,plain,
( nil = sk6
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f344,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f1530,plain,
( ~ spl0_17
| spl0_64
| ~ spl0_38
| ~ spl0_48
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1519,f724,f693,f581,f847,f386]) ).
fof(f847,plain,
( spl0_64
<=> sk3 = cons(sk9,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f581,plain,
( spl0_38
<=> ! [X0] :
( cons(sk9,X0) = app(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f693,plain,
( spl0_48
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f724,plain,
( spl0_52
<=> sk3 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1519,plain,
( sk3 = cons(sk9,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_38
| ~ spl0_48
| ~ spl0_52 ),
inference(superposition,[],[f582,f1415]) ).
fof(f1415,plain,
( sk3 = app(sk3,cons(sk5,nil))
| ~ spl0_48
| ~ spl0_52 ),
inference(forward_demodulation,[],[f695,f726]) ).
fof(f726,plain,
( sk3 = sk6
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f695,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f582,plain,
( ! [X0] :
( cons(sk9,X0) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f1407,plain,
( ~ spl0_15
| spl0_13
| spl0_115 ),
inference(avatar_split_clause,[],[f1406,f1358,f342,f350]) ).
fof(f350,plain,
( spl0_15
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1358,plain,
( spl0_115
<=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1406,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_115 ),
inference(resolution,[],[f1360,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause75) ).
fof(f1360,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| spl0_115 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1380,plain,
( ~ spl0_15
| ~ spl0_115
| spl0_48
| ~ spl0_46
| ~ spl0_63
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1347,f990,f838,f683,f693,f1358,f350]) ).
fof(f683,plain,
( spl0_46
<=> frontsegP(sk3,app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f838,plain,
( spl0_63
<=> ! [X0] :
( ~ ssList(X0)
| sk3 = cons(sk9,X0)
| ~ frontsegP(sk3,cons(sk9,X0))
| ~ ssList(cons(sk9,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f990,plain,
( spl0_77
<=> app(sk6,cons(sk5,nil)) = cons(sk9,tl(app(sk6,cons(sk5,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1347,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_63
| ~ spl0_77 ),
inference(superposition,[],[f839,f992]) ).
fof(f992,plain,
( app(sk6,cons(sk5,nil)) = cons(sk9,tl(app(sk6,cons(sk5,nil))))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f839,plain,
( ! [X0] :
( ~ frontsegP(sk3,cons(sk9,X0))
| sk3 = cons(sk9,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk9,X0)) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1219,plain,
( ~ spl0_18
| spl0_16
| spl0_87 ),
inference(avatar_split_clause,[],[f1218,f1170,f382,f390]) ).
fof(f390,plain,
( spl0_18
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1170,plain,
( spl0_87
<=> ssList(tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1218,plain,
( nil = sk6
| ~ ssList(sk6)
| spl0_87 ),
inference(resolution,[],[f1172,f75]) ).
fof(f1172,plain,
( ~ ssList(tl(sk6))
| spl0_87 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1192,plain,
( ~ spl0_18
| ~ spl0_87
| spl0_52
| ~ spl0_50
| ~ spl0_63
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1159,f1148,f838,f711,f724,f1170,f390]) ).
fof(f711,plain,
( spl0_50
<=> frontsegP(sk3,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1148,plain,
( spl0_86
<=> sk6 = cons(sk9,tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1159,plain,
( ~ frontsegP(sk3,sk6)
| sk3 = sk6
| ~ ssList(tl(sk6))
| ~ ssList(sk6)
| ~ spl0_63
| ~ spl0_86 ),
inference(superposition,[],[f839,f1150]) ).
fof(f1150,plain,
( sk6 = cons(sk9,tl(sk6))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1151,plain,
( ~ spl0_18
| spl0_16
| spl0_86
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1145,f984,f1148,f382,f390]) ).
fof(f984,plain,
( spl0_76
<=> sk9 = hd(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1145,plain,
( sk6 = cons(sk9,tl(sk6))
| nil = sk6
| ~ ssList(sk6)
| ~ spl0_76 ),
inference(superposition,[],[f104,f986]) ).
fof(f986,plain,
( sk9 = hd(sk6)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause104) ).
fof(f993,plain,
( ~ spl0_15
| spl0_13
| spl0_77
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f981,f970,f990,f342,f350]) ).
fof(f970,plain,
( spl0_74
<=> sk9 = hd(app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f981,plain,
( app(sk6,cons(sk5,nil)) = cons(sk9,tl(app(sk6,cons(sk5,nil))))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_74 ),
inference(superposition,[],[f104,f972]) ).
fof(f972,plain,
( sk9 = hd(app(sk6,cons(sk5,nil)))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f988,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_16
| spl0_76
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f980,f970,f984,f382,f390,f386]) ).
fof(f980,plain,
( sk9 = hd(sk6)
| nil = sk6
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_74 ),
inference(superposition,[],[f123,f972]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause123) ).
fof(f973,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_13
| spl0_74
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f968,f450,f970,f342,f350,f346]) ).
fof(f346,plain,
( spl0_14
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f450,plain,
( spl0_23
<=> sk9 = hd(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f968,plain,
( sk9 = hd(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f962,f452]) ).
fof(f452,plain,
( sk9 = hd(sk3)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f962,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,f211]) ).
fof(f211,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.Ju3qf47yF6/Vampire---4.8_29220',co1_6) ).
fof(f195,axiom,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_10) ).
fof(f937,plain,
( ~ spl0_21
| ~ spl0_20
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f913,f871,f426,f430]) ).
fof(f426,plain,
( spl0_20
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f913,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f910]) ).
fof(f910,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_66 ),
inference(superposition,[],[f99,f873]) ).
fof(f873,plain,
( nil = cons(sk5,nil)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause99) ).
fof(f874,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_66
| ~ spl0_24
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f869,f847,f455,f871,f386,f270]) ).
fof(f270,plain,
( spl0_7
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f455,plain,
( spl0_24
<=> nil = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f869,plain,
( nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk9)
| ~ spl0_24
| ~ spl0_64 ),
inference(forward_demodulation,[],[f863,f457]) ).
fof(f457,plain,
( nil = tl(sk3)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f863,plain,
( cons(sk5,nil) = tl(sk3)
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk9)
| ~ spl0_64 ),
inference(superposition,[],[f96,f849]) ).
fof(f849,plain,
( sk3 = cons(sk9,cons(sk5,nil))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause96) ).
fof(f840,plain,
( ~ spl0_25
| spl0_63
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f835,f688,f838,f460]) ).
fof(f460,plain,
( spl0_25
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f688,plain,
( spl0_47
<=> ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk9,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f835,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk9,X0))
| ~ ssList(sk3)
| ~ frontsegP(sk3,cons(sk9,X0))
| sk3 = cons(sk9,X0) )
| ~ spl0_47 ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f833,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sk9,X0))
| ~ ssList(sk3)
| ~ ssList(cons(sk9,X0))
| ~ frontsegP(sk3,cons(sk9,X0))
| sk3 = cons(sk9,X0) )
| ~ spl0_47 ),
inference(resolution,[],[f689,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause129) ).
fof(f689,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk9,X0)) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f780,plain,
( ~ spl0_7
| ~ spl0_14
| spl0_19
| ~ spl0_24
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f779,f749,f455,f404,f346,f270]) ).
fof(f404,plain,
( spl0_19
<=> nil = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f749,plain,
( spl0_54
<=> sk3 = cons(sk9,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f779,plain,
( nil = sk7
| ~ ssList(sk7)
| ~ ssItem(sk9)
| ~ spl0_24
| ~ spl0_54 ),
inference(forward_demodulation,[],[f773,f457]) ).
fof(f773,plain,
( sk7 = tl(sk3)
| ~ ssList(sk7)
| ~ ssItem(sk9)
| ~ spl0_54 ),
inference(superposition,[],[f96,f751]) ).
fof(f751,plain,
( sk3 = cons(sk9,sk7)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f753,plain,
( ~ spl0_14
| spl0_54
| ~ spl0_38
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f740,f693,f581,f749,f346]) ).
fof(f740,plain,
( sk3 = cons(sk9,sk7)
| ~ ssList(sk7)
| ~ spl0_38
| ~ spl0_48 ),
inference(superposition,[],[f582,f704]) ).
fof(f704,plain,
( sk3 = app(sk3,sk7)
| ~ spl0_48 ),
inference(superposition,[],[f211,f695]) ).
fof(f714,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_25
| spl0_50
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f705,f693,f711,f460,f390,f386]) ).
fof(f705,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_48 ),
inference(superposition,[],[f223,f695]) ).
fof(f223,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.Ju3qf47yF6/Vampire---4.8_29220',clause144) ).
fof(f690,plain,
( ~ spl0_25
| spl0_47
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f677,f581,f688,f460]) ).
fof(f677,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(cons(sk9,X0))
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f676]) ).
fof(f676,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(cons(sk9,X0))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl0_38 ),
inference(superposition,[],[f223,f582]) ).
fof(f686,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_25
| spl0_46 ),
inference(avatar_split_clause,[],[f675,f683,f460,f350,f346]) ).
fof(f675,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ ssList(sk3)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7) ),
inference(superposition,[],[f223,f211]) ).
fof(f583,plain,
( ~ spl0_7
| spl0_38
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f572,f284,f581,f270]) ).
fof(f284,plain,
( spl0_10
<=> sk3 = cons(sk9,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f572,plain,
( ! [X0] :
( cons(sk9,X0) = app(sk3,X0)
| ~ ssList(X0)
| ~ ssItem(sk9) )
| ~ spl0_10 ),
inference(superposition,[],[f120,f286]) ).
fof(f286,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause120) ).
fof(f504,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| spl0_25 ),
inference(resolution,[],[f462,f209]) ).
fof(f209,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_1) ).
fof(f462,plain,
( ~ ssList(sk3)
| spl0_25 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f458,plain,
( ~ spl0_7
| ~ spl0_21
| spl0_24
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f370,f284,f455,f430,f270]) ).
fof(f370,plain,
( nil = tl(sk3)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ spl0_10 ),
inference(superposition,[],[f96,f286]) ).
fof(f453,plain,
( ~ spl0_7
| ~ spl0_21
| spl0_23
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f371,f284,f450,f430,f270]) ).
fof(f371,plain,
( sk9 = hd(sk3)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ spl0_10 ),
inference(superposition,[],[f97,f286]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause97) ).
fof(f441,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_15 ),
inference(avatar_split_clause,[],[f440,f350,f390,f386]) ).
fof(f440,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(resolution,[],[f352,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause85) ).
fof(f352,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_15 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f439,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f392,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_8) ).
fof(f392,plain,
( ~ ssList(sk6)
| spl0_18 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f437,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| spl0_21 ),
inference(resolution,[],[f432,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause8) ).
fof(f432,plain,
( ~ ssList(nil)
| spl0_21 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f435,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| spl0_20 ),
inference(resolution,[],[f428,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_7) ).
fof(f428,plain,
( ~ ssItem(sk5)
| spl0_20 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f433,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_17 ),
inference(avatar_split_clause,[],[f424,f386,f430,f426]) ).
fof(f424,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_17 ),
inference(resolution,[],[f388,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause86) ).
fof(f388,plain,
( ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f423,plain,
( ~ spl0_3
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl0_3
| ~ spl0_16 ),
inference(resolution,[],[f421,f196]) ).
fof(f196,axiom,
ssItem(sk8),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_11) ).
fof(f421,plain,
( ~ ssItem(sk8)
| ~ spl0_3
| ~ spl0_16 ),
inference(resolution,[],[f420,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause71) ).
fof(f420,plain,
( memberP(nil,sk8)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f252,f384]) ).
fof(f252,plain,
( memberP(sk6,sk8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_3
<=> memberP(sk6,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f419,plain,
( ~ spl0_4
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f417,f196]) ).
fof(f417,plain,
( ~ ssItem(sk8)
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f413,f71]) ).
fof(f413,plain,
( memberP(nil,sk8)
| ~ spl0_4
| ~ spl0_19 ),
inference(superposition,[],[f256,f406]) ).
fof(f406,plain,
( nil = sk7
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f256,plain,
( memberP(sk7,sk8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl0_4
<=> memberP(sk7,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f410,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f348,f194]) ).
fof(f194,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_9) ).
fof(f348,plain,
( ~ ssList(sk7)
| spl0_14 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f393,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f379,f342,f390,f386,f382]) ).
fof(f379,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = sk6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f377,plain,
( nil != nil
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = sk6
| ~ spl0_13 ),
inference(superposition,[],[f118,f344]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',clause118) ).
fof(f354,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f335,f279,f350,f346,f342]) ).
fof(f279,plain,
( spl0_9
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f335,plain,
( nil != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[],[f118,f211]) ).
fof(f297,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f206,f279,f284]) ).
fof(f206,axiom,
( nil = sk3
| sk3 = cons(sk9,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_21) ).
fof(f282,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f202,f279,f270]) ).
fof(f202,axiom,
( nil = sk3
| ssItem(sk9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_17) ).
fof(f257,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f197,f254,f250]) ).
fof(f197,axiom,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
file('/export/starexec/sandbox2/tmp/tmp.Ju3qf47yF6/Vampire---4.8_29220',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC295-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:34:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37 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.Ju3qf47yF6/Vampire---4.8_29220
% 0.60/0.78 % (29391)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 (2995ds/34Mi)
% 0.60/0.78 % (29393)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (29394)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78 % (29392)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 (2995ds/51Mi)
% 0.60/0.78 % (29395)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 (2995ds/34Mi)
% 0.60/0.78 % (29397)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 (2995ds/83Mi)
% 0.60/0.78 % (29396)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78 % (29398)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 (2995ds/56Mi)
% 0.60/0.79 % (29391)Instruction limit reached!
% 0.60/0.79 % (29391)------------------------------
% 0.60/0.79 % (29391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29391)Termination reason: Unknown
% 0.60/0.79 % (29391)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (29391)Memory used [KB]: 1728
% 0.60/0.79 % (29391)Time elapsed: 0.015 s
% 0.60/0.79 % (29391)Instructions burned: 36 (million)
% 0.60/0.79 % (29391)------------------------------
% 0.60/0.79 % (29391)------------------------------
% 0.60/0.80 % (29394)Instruction limit reached!
% 0.60/0.80 % (29394)------------------------------
% 0.60/0.80 % (29394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (29395)Instruction limit reached!
% 0.60/0.80 % (29395)------------------------------
% 0.60/0.80 % (29395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (29394)Termination reason: Unknown
% 0.60/0.80 % (29394)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (29394)Memory used [KB]: 1637
% 0.60/0.80 % (29394)Time elapsed: 0.018 s
% 0.60/0.80 % (29394)Instructions burned: 33 (million)
% 0.60/0.80 % (29394)------------------------------
% 0.60/0.80 % (29394)------------------------------
% 0.60/0.80 % (29395)Termination reason: Unknown
% 0.60/0.80 % (29395)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (29395)Memory used [KB]: 1525
% 0.60/0.80 % (29395)Time elapsed: 0.018 s
% 0.60/0.80 % (29395)Instructions burned: 36 (million)
% 0.60/0.80 % (29395)------------------------------
% 0.60/0.80 % (29395)------------------------------
% 0.60/0.80 % (29399)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)
% 0.60/0.80 % (29401)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)
% 0.60/0.80 % (29398)Instruction limit reached!
% 0.60/0.80 % (29398)------------------------------
% 0.60/0.80 % (29398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (29398)Termination reason: Unknown
% 0.60/0.80 % (29398)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (29398)Memory used [KB]: 1744
% 0.60/0.80 % (29398)Time elapsed: 0.027 s
% 0.60/0.80 % (29398)Instructions burned: 56 (million)
% 0.60/0.80 % (29398)------------------------------
% 0.60/0.80 % (29398)------------------------------
% 0.60/0.81 % (29400)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)
% 0.60/0.81 % (29396)Instruction limit reached!
% 0.60/0.81 % (29396)------------------------------
% 0.60/0.81 % (29396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (29396)Termination reason: Unknown
% 0.60/0.81 % (29396)Termination phase: Saturation
% 0.60/0.81 % (29392)First to succeed.
% 0.60/0.81
% 0.60/0.81 % (29396)Memory used [KB]: 1645
% 0.60/0.81 % (29396)Time elapsed: 0.029 s
% 0.60/0.81 % (29396)Instructions burned: 46 (million)
% 0.60/0.81 % (29396)------------------------------
% 0.60/0.81 % (29396)------------------------------
% 0.60/0.81 % (29392)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29390"
% 0.60/0.81 % (29392)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (29392)------------------------------
% 0.60/0.81 % (29392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (29392)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (29392)Memory used [KB]: 1708
% 0.60/0.81 % (29392)Time elapsed: 0.031 s
% 0.60/0.81 % (29392)Instructions burned: 51 (million)
% 0.60/0.81 % (29390)Success in time 0.434 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------