TSTP Solution File: SWC315+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC315+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 : n022.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 09:50:14 EDT 2024
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 40
% Syntax : Number of formulae : 150 ( 8 unt; 0 def)
% Number of atoms : 640 ( 256 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 752 ( 262 ~; 252 |; 174 &)
% ( 26 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 23 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 139 ( 75 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1222,plain,
$false,
inference(avatar_sat_refutation,[],[f601,f606,f611,f616,f631,f636,f641,f650,f651,f652,f653,f654,f741,f750,f752,f754,f888,f897,f899,f1103,f1118,f1151,f1162,f1192,f1206,f1209]) ).
fof(f1209,plain,
( ~ spl55_9
| ~ spl55_10
| spl55_42
| ~ spl55_53 ),
inference(avatar_split_clause,[],[f1182,f1147,f1006,f638,f633]) ).
fof(f633,plain,
( spl55_9
<=> ssList(sK54) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).
fof(f638,plain,
( spl55_10
<=> ssItem(sK53) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_10])]) ).
fof(f1006,plain,
( spl55_42
<=> sK53 = hd(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).
fof(f1147,plain,
( spl55_53
<=> sK50 = cons(sK53,sK54) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_53])]) ).
fof(f1182,plain,
( sK53 = hd(sK50)
| ~ ssItem(sK53)
| ~ ssList(sK54)
| ~ spl55_53 ),
inference(superposition,[],[f432,f1149]) ).
fof(f1149,plain,
( sK50 = cons(sK53,sK54)
| ~ spl55_53 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f432,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax23) ).
fof(f1206,plain,
( spl55_11
| ~ spl55_1
| ~ spl55_50
| ~ spl55_56 ),
inference(avatar_split_clause,[],[f1205,f1189,f1115,f594,f643]) ).
fof(f643,plain,
( spl55_11
<=> sK49 = app(sK54,cons(sK53,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).
fof(f594,plain,
( spl55_1
<=> sK49 = app(sK52,cons(sK51,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).
fof(f1115,plain,
( spl55_50
<=> sK51 = sK53 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_50])]) ).
fof(f1189,plain,
( spl55_56
<=> sK52 = sK54 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).
fof(f1205,plain,
( sK49 = app(sK54,cons(sK53,nil))
| ~ spl55_1
| ~ spl55_50
| ~ spl55_56 ),
inference(forward_demodulation,[],[f1199,f1117]) ).
fof(f1117,plain,
( sK51 = sK53
| ~ spl55_50 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1199,plain,
( sK49 = app(sK54,cons(sK51,nil))
| ~ spl55_1
| ~ spl55_56 ),
inference(superposition,[],[f596,f1191]) ).
fof(f1191,plain,
( sK52 = sK54
| ~ spl55_56 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f596,plain,
( sK49 = app(sK52,cons(sK51,nil))
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1192,plain,
( ~ spl55_9
| ~ spl55_10
| spl55_56
| ~ spl55_53
| ~ spl55_54 ),
inference(avatar_split_clause,[],[f1187,f1159,f1147,f1189,f638,f633]) ).
fof(f1159,plain,
( spl55_54
<=> sK52 = tl(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_54])]) ).
fof(f1187,plain,
( sK52 = sK54
| ~ ssItem(sK53)
| ~ ssList(sK54)
| ~ spl55_53
| ~ spl55_54 ),
inference(forward_demodulation,[],[f1181,f1161]) ).
fof(f1161,plain,
( sK52 = tl(sK50)
| ~ spl55_54 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1181,plain,
( sK54 = tl(sK50)
| ~ ssItem(sK53)
| ~ ssList(sK54)
| ~ spl55_53 ),
inference(superposition,[],[f434,f1149]) ).
fof(f434,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax25) ).
fof(f1162,plain,
( ~ spl55_4
| spl55_54
| ~ spl55_10
| ~ spl55_49
| ~ spl55_50 ),
inference(avatar_split_clause,[],[f1157,f1115,f1098,f638,f1159,f608]) ).
fof(f608,plain,
( spl55_4
<=> ssList(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).
fof(f1098,plain,
( spl55_49
<=> sK50 = cons(sK51,sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).
fof(f1157,plain,
( ~ ssItem(sK53)
| sK52 = tl(sK50)
| ~ ssList(sK52)
| ~ spl55_49
| ~ spl55_50 ),
inference(forward_demodulation,[],[f1105,f1117]) ).
fof(f1105,plain,
( sK52 = tl(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl55_49 ),
inference(superposition,[],[f434,f1100]) ).
fof(f1100,plain,
( sK50 = cons(sK51,sK52)
| ~ spl55_49 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1151,plain,
( ~ spl55_9
| ~ spl55_10
| spl55_53
| ~ spl55_8 ),
inference(avatar_split_clause,[],[f1080,f628,f1147,f638,f633]) ).
fof(f628,plain,
( spl55_8
<=> sK50 = app(cons(sK53,nil),sK54) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).
fof(f1080,plain,
( sK50 = cons(sK53,sK54)
| ~ ssItem(sK53)
| ~ ssList(sK54)
| ~ spl55_8 ),
inference(superposition,[],[f511,f630]) ).
fof(f630,plain,
( sK50 = app(cons(sK53,nil),sK54)
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f511,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax81) ).
fof(f1118,plain,
( ~ spl55_4
| ~ spl55_5
| spl55_50
| ~ spl55_42
| ~ spl55_49 ),
inference(avatar_split_clause,[],[f1113,f1098,f1006,f1115,f613,f608]) ).
fof(f613,plain,
( spl55_5
<=> ssItem(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).
fof(f1113,plain,
( sK51 = sK53
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl55_42
| ~ spl55_49 ),
inference(forward_demodulation,[],[f1106,f1008]) ).
fof(f1008,plain,
( sK53 = hd(sK50)
| ~ spl55_42 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1106,plain,
( sK51 = hd(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl55_49 ),
inference(superposition,[],[f432,f1100]) ).
fof(f1103,plain,
( ~ spl55_4
| ~ spl55_5
| spl55_49
| ~ spl55_3 ),
inference(avatar_split_clause,[],[f1082,f603,f1098,f613,f608]) ).
fof(f603,plain,
( spl55_3
<=> sK50 = app(cons(sK51,nil),sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).
fof(f1082,plain,
( sK50 = cons(sK51,sK52)
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl55_3 ),
inference(superposition,[],[f605,f511]) ).
fof(f605,plain,
( sK50 = app(cons(sK51,nil),sK52)
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f899,plain,
( ~ spl55_18
| ~ spl55_10
| spl55_15 ),
inference(avatar_split_clause,[],[f898,f733,f638,f747]) ).
fof(f747,plain,
( spl55_18
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).
fof(f733,plain,
( spl55_15
<=> ssList(cons(sK53,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).
fof(f898,plain,
( ~ ssItem(sK53)
| ~ ssList(nil)
| spl55_15 ),
inference(resolution,[],[f735,f422]) ).
fof(f422,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax16) ).
fof(f735,plain,
( ~ ssList(cons(sK53,nil))
| spl55_15 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f897,plain,
( ~ spl55_15
| spl55_26
| ~ spl55_8
| ~ spl55_12
| ~ spl55_16 ),
inference(avatar_split_clause,[],[f893,f737,f647,f628,f839,f733]) ).
fof(f839,plain,
( spl55_26
<=> nil = cons(sK53,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).
fof(f647,plain,
( spl55_12
<=> nil = sK50 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).
fof(f737,plain,
( spl55_16
<=> nil = sK54 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).
fof(f893,plain,
( nil = cons(sK53,nil)
| ~ ssList(cons(sK53,nil))
| ~ spl55_8
| ~ spl55_12
| ~ spl55_16 ),
inference(superposition,[],[f516,f831]) ).
fof(f831,plain,
( nil = app(cons(sK53,nil),nil)
| ~ spl55_8
| ~ spl55_12
| ~ spl55_16 ),
inference(forward_demodulation,[],[f827,f649]) ).
fof(f649,plain,
( nil = sK50
| ~ spl55_12 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f827,plain,
( sK50 = app(cons(sK53,nil),nil)
| ~ spl55_8
| ~ spl55_16 ),
inference(superposition,[],[f630,f739]) ).
fof(f739,plain,
( nil = sK54
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f516,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax84) ).
fof(f888,plain,
( ~ spl55_18
| ~ spl55_10
| ~ spl55_26 ),
inference(avatar_split_clause,[],[f870,f839,f638,f747]) ).
fof(f870,plain,
( ~ ssItem(sK53)
| ~ ssList(nil)
| ~ spl55_26 ),
inference(trivial_inequality_removal,[],[f868]) ).
fof(f868,plain,
( nil != nil
| ~ ssItem(sK53)
| ~ ssList(nil)
| ~ spl55_26 ),
inference(superposition,[],[f424,f840]) ).
fof(f840,plain,
( nil = cons(sK53,nil)
| ~ spl55_26 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f424,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax18) ).
fof(f754,plain,
spl55_18,
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| spl55_18 ),
inference(resolution,[],[f749,f423]) ).
fof(f423,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax17) ).
fof(f749,plain,
( ~ ssList(nil)
| spl55_18 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f752,plain,
spl55_17,
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| spl55_17 ),
inference(resolution,[],[f745,f533]) ).
fof(f533,plain,
ssList(sK50),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
( ( ~ neq(sK50,nil)
| ( sK49 = app(sK52,cons(sK51,nil))
& sK50 = app(cons(sK51,nil),sK52)
& ssList(sK52)
& ssItem(sK51) ) )
& ( ( nil != sK47
& nil = sK48 )
| ( sK47 != app(sK54,cons(sK53,nil))
& sK48 = app(cons(sK53,nil),sK54)
& ssList(sK54)
& ssItem(sK53) ) )
& ( nil != sK50
| nil = sK49 )
& sK47 = sK49
& sK48 = sK50
& ssList(sK50)
& ssList(sK49)
& ssList(sK48)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54])],[f222,f338,f337,f336,f335,f334,f333,f332,f331]) ).
fof(f331,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != X0
& nil = X1 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != X0
& app(cons(X6,nil),X7) = X1
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = X2 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = X1 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = X1
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = X2 )
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = X1 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = X1
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = X2 )
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = sK48 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = sK48
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = X2 )
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = sK48 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = sK48
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = X2 )
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK49
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = sK48 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = sK48
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = sK49 )
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK49
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = sK48 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = sK48
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = sK49 )
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( ~ neq(sK50,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK49
& app(cons(X4,nil),X5) = sK50
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != sK47
& nil = sK48 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = sK48
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != sK50
| nil = sK49 )
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK49
& app(cons(X4,nil),X5) = sK50
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( sK49 = app(X5,cons(sK51,nil))
& sK50 = app(cons(sK51,nil),X5)
& ssList(X5) )
& ssItem(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
( ? [X5] :
( sK49 = app(X5,cons(sK51,nil))
& sK50 = app(cons(sK51,nil),X5)
& ssList(X5) )
=> ( sK49 = app(sK52,cons(sK51,nil))
& sK50 = app(cons(sK51,nil),sK52)
& ssList(sK52) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
( ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != sK47
& app(cons(X6,nil),X7) = sK48
& ssList(X7) )
& ssItem(X6) )
=> ( ? [X7] :
( sK47 != app(X7,cons(sK53,nil))
& sK48 = app(cons(sK53,nil),X7)
& ssList(X7) )
& ssItem(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
( ? [X7] :
( sK47 != app(X7,cons(sK53,nil))
& sK48 = app(cons(sK53,nil),X7)
& ssList(X7) )
=> ( sK47 != app(sK54,cons(sK53,nil))
& sK48 = app(cons(sK53,nil),sK54)
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( ( nil != X0
& nil = X1 )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) != X0
& app(cons(X6,nil),X7) = X1
& ssList(X7) )
& ssItem(X6) ) )
& ( nil != X3
| nil = X2 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( app(X5,cons(X4,nil)) != X2
| app(cons(X4,nil),X5) != X3
| ~ ssList(X5) ) ) )
| ( ( nil = X0
| nil != X1 )
& ! [X6] :
( ssItem(X6)
=> ! [X7] :
( app(X7,cons(X6,nil)) = X0
| app(cons(X6,nil),X7) != X1
| ~ ssList(X7) ) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X6] :
( ssItem(X6)
=> ! [X7] :
( app(X7,cons(X6,nil)) != X2
| app(cons(X6,nil),X7) != X3
| ~ ssList(X7) ) ) )
| ( ( nil = X0
| nil != X1 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( app(X5,cons(X4,nil)) = X0
| app(cons(X4,nil),X5) != X1
| ~ ssList(X5) ) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X6] :
( ssItem(X6)
=> ! [X7] :
( app(X7,cons(X6,nil)) != X2
| app(cons(X6,nil),X7) != X3
| ~ ssList(X7) ) ) )
| ( ( nil = X0
| nil != X1 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( app(X5,cons(X4,nil)) = X0
| app(cons(X4,nil),X5) != X1
| ~ ssList(X5) ) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',co1) ).
fof(f745,plain,
( ~ ssList(sK50)
| spl55_17 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f743,plain,
( spl55_17
<=> ssList(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f750,plain,
( ~ spl55_17
| ~ spl55_18
| spl55_12
| spl55_2 ),
inference(avatar_split_clause,[],[f691,f598,f647,f747,f743]) ).
fof(f598,plain,
( spl55_2
<=> neq(sK50,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).
fof(f691,plain,
( nil = sK50
| ~ ssList(nil)
| ~ ssList(sK50)
| spl55_2 ),
inference(resolution,[],[f421,f600]) ).
fof(f600,plain,
( ~ neq(sK50,nil)
| spl55_2 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f421,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax15) ).
fof(f741,plain,
( ~ spl55_15
| ~ spl55_9
| spl55_16
| ~ spl55_12
| ~ spl55_8 ),
inference(avatar_split_clause,[],[f726,f628,f647,f737,f633,f733]) ).
fof(f726,plain,
( nil != sK50
| nil = sK54
| ~ ssList(sK54)
| ~ ssList(cons(sK53,nil))
| ~ spl55_8 ),
inference(superposition,[],[f513,f630]) ).
fof(f513,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6dpImG9gmL/Vampire---4.8_18057',ax83) ).
fof(f654,plain,
( spl55_7
| ~ spl55_12 ),
inference(avatar_split_clause,[],[f536,f647,f623]) ).
fof(f623,plain,
( spl55_7
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).
fof(f536,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f339]) ).
fof(f653,plain,
( spl55_10
| spl55_12 ),
inference(avatar_split_clause,[],[f556,f647,f638]) ).
fof(f556,plain,
( nil = sK50
| ssItem(sK53) ),
inference(definition_unfolding,[],[f537,f534]) ).
fof(f534,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f339]) ).
fof(f537,plain,
( nil = sK48
| ssItem(sK53) ),
inference(cnf_transformation,[],[f339]) ).
fof(f652,plain,
( spl55_9
| spl55_12 ),
inference(avatar_split_clause,[],[f555,f647,f633]) ).
fof(f555,plain,
( nil = sK50
| ssList(sK54) ),
inference(definition_unfolding,[],[f538,f534]) ).
fof(f538,plain,
( nil = sK48
| ssList(sK54) ),
inference(cnf_transformation,[],[f339]) ).
fof(f651,plain,
( spl55_8
| spl55_12 ),
inference(avatar_split_clause,[],[f554,f647,f628]) ).
fof(f554,plain,
( nil = sK50
| sK50 = app(cons(sK53,nil),sK54) ),
inference(definition_unfolding,[],[f539,f534,f534]) ).
fof(f539,plain,
( nil = sK48
| sK48 = app(cons(sK53,nil),sK54) ),
inference(cnf_transformation,[],[f339]) ).
fof(f650,plain,
( ~ spl55_11
| spl55_12 ),
inference(avatar_split_clause,[],[f553,f647,f643]) ).
fof(f553,plain,
( nil = sK50
| sK49 != app(sK54,cons(sK53,nil)) ),
inference(definition_unfolding,[],[f540,f534,f535]) ).
fof(f535,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f339]) ).
fof(f540,plain,
( nil = sK48
| sK47 != app(sK54,cons(sK53,nil)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f641,plain,
( spl55_10
| ~ spl55_7 ),
inference(avatar_split_clause,[],[f552,f623,f638]) ).
fof(f552,plain,
( nil != sK49
| ssItem(sK53) ),
inference(definition_unfolding,[],[f541,f535]) ).
fof(f541,plain,
( nil != sK47
| ssItem(sK53) ),
inference(cnf_transformation,[],[f339]) ).
fof(f636,plain,
( spl55_9
| ~ spl55_7 ),
inference(avatar_split_clause,[],[f551,f623,f633]) ).
fof(f551,plain,
( nil != sK49
| ssList(sK54) ),
inference(definition_unfolding,[],[f542,f535]) ).
fof(f542,plain,
( nil != sK47
| ssList(sK54) ),
inference(cnf_transformation,[],[f339]) ).
fof(f631,plain,
( spl55_8
| ~ spl55_7 ),
inference(avatar_split_clause,[],[f550,f623,f628]) ).
fof(f550,plain,
( nil != sK49
| sK50 = app(cons(sK53,nil),sK54) ),
inference(definition_unfolding,[],[f543,f535,f534]) ).
fof(f543,plain,
( nil != sK47
| sK48 = app(cons(sK53,nil),sK54) ),
inference(cnf_transformation,[],[f339]) ).
fof(f616,plain,
( spl55_5
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f545,f598,f613]) ).
fof(f545,plain,
( ~ neq(sK50,nil)
| ssItem(sK51) ),
inference(cnf_transformation,[],[f339]) ).
fof(f611,plain,
( spl55_4
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f546,f598,f608]) ).
fof(f546,plain,
( ~ neq(sK50,nil)
| ssList(sK52) ),
inference(cnf_transformation,[],[f339]) ).
fof(f606,plain,
( spl55_3
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f547,f598,f603]) ).
fof(f547,plain,
( ~ neq(sK50,nil)
| sK50 = app(cons(sK51,nil),sK52) ),
inference(cnf_transformation,[],[f339]) ).
fof(f601,plain,
( spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f548,f598,f594]) ).
fof(f548,plain,
( ~ neq(sK50,nil)
| sK49 = app(sK52,cons(sK51,nil)) ),
inference(cnf_transformation,[],[f339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:32:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.6dpImG9gmL/Vampire---4.8_18057
% 0.57/0.76 % (18316)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)
% 0.57/0.76 % (18310)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)
% 0.57/0.76 % (18312)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (18311)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)
% 0.57/0.76 % (18314)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)
% 0.57/0.76 % (18315)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)
% 0.57/0.76 % (18313)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)
% 0.57/0.76 % (18317)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)
% 0.57/0.77 % (18313)Instruction limit reached!
% 0.57/0.77 % (18313)------------------------------
% 0.57/0.77 % (18313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (18313)Termination reason: Unknown
% 0.57/0.77 % (18313)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (18313)Memory used [KB]: 1490
% 0.57/0.78 % (18313)Time elapsed: 0.020 s
% 0.57/0.78 % (18313)Instructions burned: 34 (million)
% 0.57/0.78 % (18313)------------------------------
% 0.57/0.78 % (18313)------------------------------
% 0.57/0.78 % (18311)First to succeed.
% 0.57/0.78 % (18310)Instruction limit reached!
% 0.57/0.78 % (18310)------------------------------
% 0.57/0.78 % (18310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (18310)Termination reason: Unknown
% 0.57/0.78 % (18310)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (18310)Memory used [KB]: 1439
% 0.57/0.78 % (18310)Time elapsed: 0.021 s
% 0.57/0.78 % (18310)Instructions burned: 34 (million)
% 0.57/0.78 % (18310)------------------------------
% 0.57/0.78 % (18310)------------------------------
% 0.57/0.78 % (18316)Instruction limit reached!
% 0.57/0.78 % (18316)------------------------------
% 0.57/0.78 % (18316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (18316)Termination reason: Unknown
% 0.57/0.78 % (18316)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (18316)Memory used [KB]: 2040
% 0.57/0.78 % (18316)Time elapsed: 0.023 s
% 0.57/0.78 % (18316)Instructions burned: 83 (million)
% 0.57/0.78 % (18316)------------------------------
% 0.57/0.78 % (18316)------------------------------
% 0.57/0.78 % (18311)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18306"
% 0.57/0.78 % (18311)Refutation found. Thanks to Tanya!
% 0.57/0.78 % SZS status Theorem for Vampire---4
% 0.57/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.78 % (18311)------------------------------
% 0.57/0.78 % (18311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (18311)Termination reason: Refutation
% 0.57/0.78
% 0.57/0.78 % (18311)Memory used [KB]: 1632
% 0.57/0.78 % (18311)Time elapsed: 0.023 s
% 0.57/0.78 % (18311)Instructions burned: 37 (million)
% 0.57/0.78 % (18306)Success in time 0.412 s
% 0.57/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------