TSTP Solution File: SWC413-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC413-1 : 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/sandbox/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 09:50:56 EDT 2024
% Result : Unsatisfiable 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 45
% Syntax : Number of formulae : 127 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 1323 ( 54 equ)
% Maximal formula atoms : 9 ( 10 avg)
% Number of connectives : 484 ( 211 ~; 261 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 924 ( 924 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 23 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 100 ( 99 !; 0 ?; 94 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f454,plain,
$false,
inference(avatar_sat_refutation,[],[f320,f325,f330,f335,f340,f365,f370,f375,f380,f385,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f438,f453]) ).
tff(f453,plain,
( ~ spl1_1
| ~ spl1_11
| ~ spl1_12
| ~ spl1_13
| ~ spl1_14
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f452]) ).
tff(f452,plain,
( $false
| ~ spl1_1
| ~ spl1_11
| ~ spl1_12
| ~ spl1_13
| ~ spl1_14
| ~ spl1_15 ),
inference(subsumption_resolution,[],[f451,f384]) ).
tff(f384,plain,
( sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f382]) ).
tff(f382,plain,
( spl1_15
<=> sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
tff(f451,plain,
( ~ sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10))
| ~ spl1_1
| ~ spl1_11
| ~ spl1_12
| ~ spl1_13
| ~ spl1_14 ),
inference(subsumption_resolution,[],[f450,f374]) ).
tff(f374,plain,
( ssList(sk10)
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f372]) ).
tff(f372,plain,
( spl1_13
<=> ssList(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
tff(f450,plain,
( ~ ssList(sk10)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10))
| ~ spl1_1
| ~ spl1_11
| ~ spl1_12
| ~ spl1_14 ),
inference(subsumption_resolution,[],[f449,f369]) ).
tff(f369,plain,
( ssItem(sk9)
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f367]) ).
tff(f367,plain,
( spl1_12
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
tff(f449,plain,
( ~ ssItem(sk9)
| ~ ssList(sk10)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10))
| ~ spl1_1
| ~ spl1_11
| ~ spl1_14 ),
inference(subsumption_resolution,[],[f445,f364]) ).
tff(f364,plain,
( ssItem(sk8)
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f362]) ).
tff(f362,plain,
( spl1_11
<=> ssItem(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f445,plain,
( ~ ssItem(sk8)
| ~ ssItem(sk9)
| ~ ssList(sk10)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10))
| ~ spl1_1
| ~ spl1_14 ),
inference(resolution,[],[f316,f379]) ).
tff(f379,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10))
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f377]) ).
tff(f377,plain,
( spl1_14
<=> sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
tff(f316,plain,
( ! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8)) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f315]) ).
tff(f315,plain,
( spl1_1
<=> ! [X6,X8,X7] :
( ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f438,plain,
( ~ spl1_4
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f437,f337,f332,f322,f318,f327]) ).
tff(f327,plain,
( spl1_4
<=> ssItem(sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f318,plain,
( spl1_2
<=> ! [X9,X11,X10] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X9,nil),cons(X10,nil)),X11))
| ~ ssItem(X9)
| ~ ssItem(X10)
| ~ ssList(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f322,plain,
( spl1_3
<=> ssItem(sk11) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f332,plain,
( spl1_5
<=> ssList(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f337,plain,
( spl1_6
<=> sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f437,plain,
( ~ ssItem(sk12)
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f433,f334]) ).
tff(f334,plain,
( ssList(sk13)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f332]) ).
tff(f433,plain,
( ~ ssItem(sk12)
| ~ ssList(sk13)
| ~ spl1_2
| ~ spl1_3
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f432,f324]) ).
tff(f324,plain,
( ssItem(sk11)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f432,plain,
( ~ ssItem(sk11)
| ~ ssItem(sk12)
| ~ ssList(sk13)
| ~ spl1_2
| ~ spl1_6 ),
inference(resolution,[],[f319,f339]) ).
tff(f339,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f337]) ).
tff(f319,plain,
( ! [X10: $i,X11: $i,X9: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X9,nil),cons(X10,nil)),X11))
| ~ ssItem(X9)
| ~ ssItem(X10)
| ~ ssList(X11) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f318]) ).
tff(f421,plain,
( spl1_15
| spl1_6 ),
inference(avatar_split_clause,[],[f296,f337,f382]) ).
tff(f296,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f261,f264]) ).
tff(f264,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f261,plain,
( ( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ) ),
inference(definition_unfolding,[],[f241,f190]) ).
tff(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_5) ).
tff(f241,axiom,
( ( sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_56) ).
tff(f420,plain,
( spl1_14
| spl1_6 ),
inference(avatar_split_clause,[],[f295,f337,f377]) ).
tff(f295,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f260,f264]) ).
tff(f260,plain,
( ( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ) ),
inference(definition_unfolding,[],[f240,f190]) ).
tff(f240,axiom,
( ( sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_55) ).
tff(f419,plain,
( spl1_13
| spl1_6 ),
inference(avatar_split_clause,[],[f294,f337,f372]) ).
tff(f294,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| ssList(sk10) ),
inference(equality_proxy_replacement,[],[f259,f264]) ).
tff(f259,plain,
( ( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ssList(sk10) ),
inference(definition_unfolding,[],[f239,f190]) ).
tff(f239,axiom,
( ( sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ssList(sk10) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_54) ).
tff(f418,plain,
( spl1_15
| spl1_5 ),
inference(avatar_split_clause,[],[f293,f332,f382]) ).
tff(f293,plain,
( ssList(sk13)
| sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f238,f264]) ).
tff(f238,axiom,
( ssList(sk13)
| ( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_53) ).
tff(f417,plain,
( spl1_14
| spl1_5 ),
inference(avatar_split_clause,[],[f292,f332,f377]) ).
tff(f292,plain,
( ssList(sk13)
| sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f237,f264]) ).
tff(f237,axiom,
( ssList(sk13)
| ( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_52) ).
tff(f416,plain,
( spl1_13
| spl1_5 ),
inference(avatar_split_clause,[],[f236,f332,f372]) ).
tff(f236,axiom,
( ssList(sk13)
| ssList(sk10) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_51) ).
tff(f415,plain,
( spl1_12
| spl1_6 ),
inference(avatar_split_clause,[],[f291,f337,f367]) ).
tff(f291,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| ssItem(sk9) ),
inference(equality_proxy_replacement,[],[f258,f264]) ).
tff(f258,plain,
( ( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ssItem(sk9) ),
inference(definition_unfolding,[],[f235,f190]) ).
tff(f235,axiom,
( ( sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ssItem(sk9) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_50) ).
tff(f414,plain,
( spl1_12
| spl1_5 ),
inference(avatar_split_clause,[],[f234,f332,f367]) ).
tff(f234,axiom,
( ssList(sk13)
| ssItem(sk9) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_49) ).
tff(f413,plain,
( spl1_15
| spl1_4 ),
inference(avatar_split_clause,[],[f290,f327,f382]) ).
tff(f290,plain,
( ssItem(sk12)
| sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f233,f264]) ).
tff(f233,axiom,
( ssItem(sk12)
| ( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_48) ).
tff(f412,plain,
( spl1_14
| spl1_4 ),
inference(avatar_split_clause,[],[f289,f327,f377]) ).
tff(f289,plain,
( ssItem(sk12)
| sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f232,f264]) ).
tff(f232,axiom,
( ssItem(sk12)
| ( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_47) ).
tff(f411,plain,
( spl1_13
| spl1_4 ),
inference(avatar_split_clause,[],[f231,f327,f372]) ).
tff(f231,axiom,
( ssItem(sk12)
| ssList(sk10) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_46) ).
tff(f410,plain,
( spl1_12
| spl1_4 ),
inference(avatar_split_clause,[],[f230,f327,f367]) ).
tff(f230,axiom,
( ssItem(sk12)
| ssItem(sk9) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_45) ).
tff(f409,plain,
( spl1_11
| spl1_6 ),
inference(avatar_split_clause,[],[f288,f337,f362]) ).
tff(f288,plain,
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| ssItem(sk8) ),
inference(equality_proxy_replacement,[],[f257,f264]) ).
tff(f257,plain,
( ( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ssItem(sk8) ),
inference(definition_unfolding,[],[f229,f190]) ).
tff(f229,axiom,
( ( sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ssItem(sk8) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_44) ).
tff(f408,plain,
( spl1_11
| spl1_5 ),
inference(avatar_split_clause,[],[f228,f332,f362]) ).
tff(f228,axiom,
( ssList(sk13)
| ssItem(sk8) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_43) ).
tff(f407,plain,
( spl1_11
| spl1_4 ),
inference(avatar_split_clause,[],[f227,f327,f362]) ).
tff(f227,axiom,
( ssItem(sk12)
| ssItem(sk8) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_42) ).
tff(f406,plain,
( spl1_15
| spl1_3 ),
inference(avatar_split_clause,[],[f287,f322,f382]) ).
tff(f287,plain,
( ssItem(sk11)
| sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f226,f264]) ).
tff(f226,axiom,
( ssItem(sk11)
| ( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_41) ).
tff(f405,plain,
( spl1_14
| spl1_3 ),
inference(avatar_split_clause,[],[f286,f322,f377]) ).
tff(f286,plain,
( ssItem(sk11)
| sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f225,f264]) ).
tff(f225,axiom,
( ssItem(sk11)
| ( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_40) ).
tff(f404,plain,
( spl1_13
| spl1_3 ),
inference(avatar_split_clause,[],[f224,f322,f372]) ).
tff(f224,axiom,
( ssItem(sk11)
| ssList(sk10) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_39) ).
tff(f403,plain,
( spl1_12
| spl1_3 ),
inference(avatar_split_clause,[],[f223,f322,f367]) ).
tff(f223,axiom,
( ssItem(sk11)
| ssItem(sk9) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_38) ).
tff(f402,plain,
( spl1_11
| spl1_3 ),
inference(avatar_split_clause,[],[f222,f322,f362]) ).
tff(f222,axiom,
( ssItem(sk11)
| ssItem(sk8) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_37) ).
tff(f385,plain,
( spl1_15
| spl1_2 ),
inference(avatar_split_clause,[],[f278,f318,f382]) ).
tff(f278,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| sQ0_eqProxy($i,sk3,app(app(cons(sk9,nil),cons(sk8,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f205,f264]) ).
tff(f205,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_20) ).
tff(f380,plain,
( spl1_14
| spl1_2 ),
inference(avatar_split_clause,[],[f277,f318,f377]) ).
tff(f277,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| sQ0_eqProxy($i,sk4,app(app(cons(sk8,nil),cons(sk9,nil)),sk10)) ),
inference(equality_proxy_replacement,[],[f204,f264]) ).
tff(f204,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_19) ).
tff(f375,plain,
( spl1_13
| spl1_2 ),
inference(avatar_split_clause,[],[f276,f318,f372]) ).
tff(f276,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssList(sk10) ),
inference(equality_proxy_replacement,[],[f203,f264]) ).
tff(f203,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssList(sk10) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_18) ).
tff(f370,plain,
( spl1_12
| spl1_2 ),
inference(avatar_split_clause,[],[f275,f318,f367]) ).
tff(f275,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk9) ),
inference(equality_proxy_replacement,[],[f202,f264]) ).
tff(f202,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk9) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_17) ).
tff(f365,plain,
( spl1_11
| spl1_2 ),
inference(avatar_split_clause,[],[f274,f318,f362]) ).
tff(f274,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk8) ),
inference(equality_proxy_replacement,[],[f201,f264]) ).
tff(f201,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk8) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_16) ).
tff(f340,plain,
( spl1_1
| spl1_6 ),
inference(avatar_split_clause,[],[f269,f337,f315]) ).
tff(f269,plain,
! [X8: $i,X6: $i,X7: $i] :
( sQ0_eqProxy($i,sk4,app(app(cons(sk11,nil),cons(sk12,nil)),sk13))
| ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f248,f264]) ).
tff(f248,plain,
! [X8: $i,X6: $i,X7: $i] :
( ( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ( sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f196,f190,f191,f190]) ).
tff(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_6) ).
tff(f196,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ( sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) )
| ( sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_11) ).
tff(f335,plain,
( spl1_1
| spl1_5 ),
inference(avatar_split_clause,[],[f268,f332,f315]) ).
tff(f268,plain,
! [X8: $i,X6: $i,X7: $i] :
( ssList(sk13)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f247,f264]) ).
tff(f247,plain,
! [X8: $i,X6: $i,X7: $i] :
( ssList(sk13)
| ( sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f195,f191,f190]) ).
tff(f195,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ssList(sk13)
| ( sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_10) ).
tff(f330,plain,
( spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f267,f327,f315]) ).
tff(f267,plain,
! [X8: $i,X6: $i,X7: $i] :
( ssItem(sk12)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f246,f264]) ).
tff(f246,plain,
! [X8: $i,X6: $i,X7: $i] :
( ssItem(sk12)
| ( sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f194,f191,f190]) ).
tff(f194,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ssItem(sk12)
| ( sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_9) ).
tff(f325,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f266,f322,f315]) ).
tff(f266,plain,
! [X8: $i,X6: $i,X7: $i] :
( ssItem(sk11)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f245,f264]) ).
tff(f245,plain,
! [X8: $i,X6: $i,X7: $i] :
( ssItem(sk11)
| ( sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f193,f191,f190]) ).
tff(f193,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ssItem(sk11)
| ( sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_8) ).
tff(f320,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f265,f318,f315]) ).
tff(f265,plain,
! [X10: $i,X11: $i,X8: $i,X6: $i,X9: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(cons(X9,nil),cons(X10,nil)),X11))
| ~ ssList(X11)
| ~ ssItem(X10)
| ~ ssItem(X9)
| ~ sQ0_eqProxy($i,sk3,app(app(cons(X7,nil),cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk4,app(app(cons(X6,nil),cons(X7,nil)),X8))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f244,f264]) ).
tff(f244,plain,
! [X10: $i,X11: $i,X8: $i,X6: $i,X9: $i,X7: $i] :
( ( sk4 != app(app(cons(X9,nil),cons(X10,nil)),X11) )
| ~ ssList(X11)
| ~ ssItem(X10)
| ~ ssItem(X9)
| ( sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f192,f191,f190]) ).
tff(f192,axiom,
! [X10: $i,X11: $i,X8: $i,X6: $i,X9: $i,X7: $i] :
( ( sk4 != app(app(cons(X9,nil),cons(X10,nil)),X11) )
| ~ ssList(X11)
| ~ ssItem(X10)
| ~ ssItem(X9)
| ( sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ( sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) )
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC413-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:33:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 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/tmp/tmp.lyhpdBWSpE/Vampire---4.8_1401
% 0.58/0.75 % (1660)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)
% 0.58/0.75 % (1663)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)
% 0.58/0.75 % (1662)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (1664)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)
% 0.58/0.75 % (1665)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)
% 0.58/0.75 % (1666)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)
% 0.58/0.75 % (1661)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)
% 0.58/0.75 % (1667)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)
% 0.58/0.75 % (1660)First to succeed.
% 0.58/0.75 % (1660)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1650"
% 0.58/0.75 % (1667)Also succeeded, but the first one will report.
% 0.58/0.75 % (1660)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (1660)------------------------------
% 0.58/0.75 % (1660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (1660)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (1660)Memory used [KB]: 1242
% 0.58/0.75 % (1660)Time elapsed: 0.005 s
% 0.58/0.75 % (1660)Instructions burned: 12 (million)
% 0.58/0.75 % (1650)Success in time 0.381 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------