TSTP Solution File: SWC233-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC233-1 : 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 09:49:36 EDT 2024
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 36
% Syntax : Number of formulae : 122 ( 10 unt; 0 def)
% Number of atoms : 491 ( 76 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 710 ( 341 ~; 347 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 23 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f851,plain,
$false,
inference(avatar_sat_refutation,[],[f286,f288,f304,f312,f320,f355,f359,f367,f496,f500,f502,f506,f538,f542,f612,f776,f790,f800,f809,f832,f835,f847,f850]) ).
fof(f850,plain,
( ~ spl0_3
| spl0_24
| spl0_79 ),
inference(avatar_split_clause,[],[f849,f844,f480,f254]) ).
fof(f254,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f480,plain,
( spl0_24
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f844,plain,
( spl0_79
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f849,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_79 ),
inference(trivial_inequality_removal,[],[f848]) ).
fof(f848,plain,
( sk3 != sk3
| nil = sk3
| ~ ssList(sk3)
| spl0_79 ),
inference(superposition,[],[f846,f104]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause104) ).
fof(f846,plain,
( sk3 != cons(hd(sk3),tl(sk3))
| spl0_79 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f847,plain,
( ~ spl0_26
| ~ spl0_79
| ~ spl0_25
| spl0_74 ),
inference(avatar_split_clause,[],[f842,f806,f484,f844,f488]) ).
fof(f488,plain,
( spl0_26
<=> ssList(tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f484,plain,
( spl0_25
<=> ssItem(hd(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f806,plain,
( spl0_74
<=> sk3 = app(cons(hd(sk3),nil),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f842,plain,
( sk3 != cons(hd(sk3),tl(sk3))
| ~ ssList(tl(sk3))
| ~ spl0_25
| spl0_74 ),
inference(superposition,[],[f808,f512]) ).
fof(f512,plain,
( ! [X0] :
( cons(hd(sk3),X0) = app(cons(hd(sk3),nil),X0)
| ~ ssList(X0) )
| ~ spl0_25 ),
inference(resolution,[],[f485,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause120) ).
fof(f485,plain,
( ssItem(hd(sk3))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f808,plain,
( sk3 != app(cons(hd(sk3),nil),tl(sk3))
| spl0_74 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f835,plain,
( ~ spl0_3
| spl0_24
| ~ spl0_26
| spl0_73
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f834,f830,f797,f488,f480,f254]) ).
fof(f797,plain,
( spl0_73
<=> ssItem(sk5(tl(sk3),nil,hd(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f830,plain,
( spl0_78
<=> ! [X0] :
( sk3 != cons(hd(sk3),X0)
| ssItem(sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f834,plain,
( ssItem(sk5(tl(sk3),nil,hd(sk3)))
| ~ ssList(tl(sk3))
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f833]) ).
fof(f833,plain,
( sk3 != sk3
| ssItem(sk5(tl(sk3),nil,hd(sk3)))
| ~ ssList(tl(sk3))
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_78 ),
inference(superposition,[],[f831,f104]) ).
fof(f831,plain,
( ! [X0] :
( sk3 != cons(hd(sk3),X0)
| ssItem(sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f832,plain,
( ~ spl0_25
| ~ spl0_31
| spl0_78
| ~ spl0_25
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f828,f504,f484,f830,f544,f484]) ).
fof(f544,plain,
( spl0_31
<=> ssList(cons(hd(sk3),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f504,plain,
( spl0_27
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f828,plain,
( ! [X0] :
( sk3 != cons(hd(sk3),X0)
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ssItem(sk5(X0,nil,hd(sk3))) )
| ~ spl0_25
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f825,plain,
( ! [X0] :
( sk3 != cons(hd(sk3),X0)
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ssItem(sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) )
| ~ spl0_25
| ~ spl0_27 ),
inference(superposition,[],[f505,f512]) ).
fof(f505,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f809,plain,
( ~ spl0_74
| ~ spl0_26
| ~ spl0_25
| ~ spl0_19
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f801,f793,f357,f484,f488,f806]) ).
fof(f357,plain,
( spl0_19
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ lt(X0,sk5(X1,nil,X0))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f793,plain,
( spl0_72
<=> lt(hd(sk3),sk5(tl(sk3),nil,hd(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f801,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| sk3 != app(cons(hd(sk3),nil),tl(sk3))
| ~ spl0_19
| ~ spl0_72 ),
inference(resolution,[],[f795,f358]) ).
fof(f358,plain,
( ! [X0,X1] :
( ~ lt(X0,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f795,plain,
( lt(hd(sk3),sk5(tl(sk3),nil,hd(sk3)))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f800,plain,
( spl0_72
| ~ spl0_73
| ~ spl0_69
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f791,f788,f773,f797,f793]) ).
fof(f773,plain,
( spl0_69
<=> memberP(tl(sk3),sk5(tl(sk3),nil,hd(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f788,plain,
( spl0_71
<=> ! [X0] :
( ~ memberP(tl(sk3),X0)
| ~ ssItem(X0)
| lt(hd(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f791,plain,
( ~ ssItem(sk5(tl(sk3),nil,hd(sk3)))
| lt(hd(sk3),sk5(tl(sk3),nil,hd(sk3)))
| ~ spl0_69
| ~ spl0_71 ),
inference(resolution,[],[f789,f775]) ).
fof(f775,plain,
( memberP(tl(sk3),sk5(tl(sk3),nil,hd(sk3)))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f789,plain,
( ! [X0] :
( ~ memberP(tl(sk3),X0)
| ~ ssItem(X0)
| lt(hd(sk3),X0) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( ~ spl0_3
| spl0_24
| spl0_71
| ~ spl0_26
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f786,f536,f488,f788,f480,f254]) ).
fof(f536,plain,
( spl0_29
<=> ! [X0,X1] :
( sk3 != cons(hd(sk3),X0)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| lt(hd(sk3),X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f786,plain,
( ! [X0] :
( ~ ssList(tl(sk3))
| ~ memberP(tl(sk3),X0)
| lt(hd(sk3),X0)
| ~ ssItem(X0)
| nil = sk3
| ~ ssList(sk3) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f785]) ).
fof(f785,plain,
( ! [X0] :
( sk3 != sk3
| ~ ssList(tl(sk3))
| ~ memberP(tl(sk3),X0)
| lt(hd(sk3),X0)
| ~ ssItem(X0)
| nil = sk3
| ~ ssList(sk3) )
| ~ spl0_29 ),
inference(superposition,[],[f537,f104]) ).
fof(f537,plain,
( ! [X0,X1] :
( sk3 != cons(hd(sk3),X0)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| lt(hd(sk3),X1)
| ~ ssItem(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f776,plain,
( ~ spl0_3
| spl0_24
| spl0_69
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f771,f540,f488,f773,f480,f254]) ).
fof(f540,plain,
( spl0_30
<=> ! [X0] :
( sk3 != cons(hd(sk3),X0)
| ~ ssList(X0)
| memberP(X0,sk5(X0,nil,hd(sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f771,plain,
( ~ ssList(tl(sk3))
| memberP(tl(sk3),sk5(tl(sk3),nil,hd(sk3)))
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f770]) ).
fof(f770,plain,
( sk3 != sk3
| ~ ssList(tl(sk3))
| memberP(tl(sk3),sk5(tl(sk3),nil,hd(sk3)))
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_30 ),
inference(superposition,[],[f541,f104]) ).
fof(f541,plain,
( ! [X0] :
( sk3 != cons(hd(sk3),X0)
| ~ ssList(X0)
| memberP(X0,sk5(X0,nil,hd(sk3))) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f612,plain,
( ~ spl0_25
| ~ spl0_4
| spl0_31 ),
inference(avatar_split_clause,[],[f611,f544,f258,f484]) ).
fof(f258,plain,
( spl0_4
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f611,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk3))
| spl0_31 ),
inference(resolution,[],[f546,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause86) ).
fof(f546,plain,
( ~ ssList(cons(hd(sk3),nil))
| spl0_31 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f542,plain,
( ~ spl0_25
| spl0_30
| ~ spl0_21
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f533,f484,f365,f540,f484]) ).
fof(f365,plain,
( spl0_21
<=> ! [X0,X1] :
( ~ ssItem(X0)
| memberP(X1,sk5(X1,nil,X0))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f533,plain,
( ! [X0] :
( sk3 != cons(hd(sk3),X0)
| memberP(X0,sk5(X0,nil,hd(sk3)))
| ~ ssList(X0)
| ~ ssItem(hd(sk3)) )
| ~ spl0_21
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f514]) ).
fof(f514,plain,
( ! [X0] :
( sk3 != cons(hd(sk3),X0)
| memberP(X0,sk5(X0,nil,hd(sk3)))
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ~ ssList(X0) )
| ~ spl0_21
| ~ spl0_25 ),
inference(superposition,[],[f366,f512]) ).
fof(f366,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| memberP(X1,sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f538,plain,
( ~ spl0_25
| spl0_29
| ~ spl0_18
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f534,f484,f353,f536,f484]) ).
fof(f353,plain,
( spl0_18
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| lt(X0,X2)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f534,plain,
( ! [X0,X1] :
( sk3 != cons(hd(sk3),X0)
| lt(hd(sk3),X1)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk3)) )
| ~ spl0_18
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f513]) ).
fof(f513,plain,
( ! [X0,X1] :
( sk3 != cons(hd(sk3),X0)
| lt(hd(sk3),X1)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ~ ssList(X0) )
| ~ spl0_18
| ~ spl0_25 ),
inference(superposition,[],[f354,f512]) ).
fof(f354,plain,
( ! [X2,X0,X1] :
( app(cons(X0,nil),X1) != sk3
| lt(X0,X2)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f506,plain,
( ~ spl0_4
| spl0_27 ),
inference(avatar_split_clause,[],[f291,f504,f258]) ).
fof(f291,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f203,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause74) ).
fof(f203,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_6) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_8) ).
fof(f502,plain,
( ~ spl0_3
| spl0_24
| spl0_26 ),
inference(avatar_split_clause,[],[f501,f488,f480,f254]) ).
fof(f501,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_26 ),
inference(resolution,[],[f490,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause75) ).
fof(f490,plain,
( ~ ssList(tl(sk3))
| spl0_26 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f500,plain,
( ~ spl0_3
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f497,f484,f480,f254]) ).
fof(f497,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_25 ),
inference(resolution,[],[f486,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause76) ).
fof(f486,plain,
( ~ ssItem(hd(sk3))
| spl0_25 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f496,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( nil != nil
| ~ spl0_24 ),
inference(superposition,[],[f202,f482]) ).
fof(f482,plain,
( nil = sk3
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f202,plain,
nil != sk3,
inference(definition_unfolding,[],[f192,f191]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_7) ).
fof(f367,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f348,f310,f258,f365]) ).
fof(f310,plain,
( spl0_12
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(X1,sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f348,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| memberP(X1,sk5(X1,nil,X0)) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(X1,sk5(X1,nil,X0)) )
| ~ spl0_12 ),
inference(resolution,[],[f86,f311]) ).
fof(f311,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(X1,sk5(X1,nil,X0)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f359,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f350,f318,f258,f357]) ).
fof(f318,plain,
( spl0_14
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f350,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ lt(X0,sk5(X1,nil,X0)) )
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,sk5(X1,nil,X0)) )
| ~ spl0_14 ),
inference(resolution,[],[f86,f319]) ).
fof(f319,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,sk5(X1,nil,X0)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f355,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f351,f302,f258,f353]) ).
fof(f302,plain,
( spl0_10
<=> ! [X2,X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f351,plain,
( ! [X2,X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| lt(X0,X2) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
( ! [X2,X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| lt(X0,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f86,f303]) ).
fof(f303,plain,
( ! [X2,X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| lt(X0,X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f320,plain,
( ~ spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f295,f318,f258]) ).
fof(f295,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ lt(X0,sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f207,f74]) ).
fof(f207,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ lt(X6,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ lt(X6,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_12) ).
fof(f312,plain,
( ~ spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f293,f310,f258]) ).
fof(f293,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| memberP(X1,sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f205,f74]) ).
fof(f205,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| memberP(X8,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f195,axiom,
! [X8,X6,X7] :
( memberP(X8,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_10) ).
fof(f304,plain,
( ~ spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f289,f302,f258]) ).
fof(f289,plain,
! [X2,X0,X1] :
( app(cons(X0,nil),X1) != sk3
| lt(X0,X2)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f198,f74]) ).
fof(f198,axiom,
! [X8,X6,X9,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| lt(X6,X9)
| ~ ssItem(X9)
| ~ memberP(X8,X9)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_13) ).
fof(f288,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f260,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',clause8) ).
fof(f260,plain,
( ~ ssList(nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f286,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f256,f200]) ).
fof(f200,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519',co1_1) ).
fof(f256,plain,
( ~ ssList(sk3)
| spl0_3 ),
inference(avatar_component_clause,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC233-1 : 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/sandbox/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 20:24:23 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.iiElXx6j5S/Vampire---4.8_4519
% 0.57/0.74 % (4635)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)
% 0.57/0.74 % (4629)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)
% 0.57/0.74 % (4631)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (4630)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)
% 0.57/0.74 % (4633)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)
% 0.57/0.74 % (4634)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)
% 0.57/0.74 % (4632)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)
% 0.57/0.74 % (4629)Refutation not found, incomplete strategy% (4629)------------------------------
% 0.57/0.74 % (4629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (4629)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (4629)Memory used [KB]: 1202
% 0.57/0.75 % (4629)Time elapsed: 0.007 s
% 0.57/0.75 % (4629)Instructions burned: 10 (million)
% 0.57/0.75 % (4629)------------------------------
% 0.57/0.75 % (4629)------------------------------
% 0.57/0.75 % (4636)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)
% 0.57/0.75 % (4637)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 (2996ds/55Mi)
% 0.57/0.75 % (4636)Refutation not found, incomplete strategy% (4636)------------------------------
% 0.57/0.75 % (4636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (4636)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (4636)Memory used [KB]: 1189
% 0.57/0.75 % (4636)Time elapsed: 0.005 s
% 0.57/0.75 % (4636)Instructions burned: 5 (million)
% 0.57/0.75 % (4636)------------------------------
% 0.57/0.75 % (4636)------------------------------
% 0.57/0.76 % (4638)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 (2996ds/50Mi)
% 0.57/0.76 % (4632)Instruction limit reached!
% 0.57/0.76 % (4632)------------------------------
% 0.57/0.76 % (4632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (4632)Termination reason: Unknown
% 0.57/0.76 % (4632)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (4632)Memory used [KB]: 1569
% 0.57/0.76 % (4632)Time elapsed: 0.019 s
% 0.57/0.76 % (4632)Instructions burned: 35 (million)
% 0.57/0.76 % (4632)------------------------------
% 0.57/0.76 % (4632)------------------------------
% 0.57/0.76 % (4633)Instruction limit reached!
% 0.57/0.76 % (4633)------------------------------
% 0.57/0.76 % (4633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (4633)Termination reason: Unknown
% 0.57/0.76 % (4633)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (4633)Memory used [KB]: 1654
% 0.57/0.76 % (4633)Time elapsed: 0.020 s
% 0.57/0.76 % (4633)Instructions burned: 35 (million)
% 0.57/0.76 % (4633)------------------------------
% 0.57/0.76 % (4633)------------------------------
% 0.57/0.76 % (4635)Instruction limit reached!
% 0.57/0.76 % (4635)------------------------------
% 0.57/0.76 % (4635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (4635)Termination reason: Unknown
% 0.57/0.76 % (4635)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (4635)Memory used [KB]: 1715
% 0.57/0.76 % (4635)Time elapsed: 0.022 s
% 0.57/0.76 % (4635)Instructions burned: 85 (million)
% 0.57/0.76 % (4635)------------------------------
% 0.57/0.76 % (4635)------------------------------
% 0.57/0.76 % (4639)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 (2996ds/208Mi)
% 0.57/0.76 % (4640)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.76 % (4641)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.76 % (4634)Instruction limit reached!
% 0.57/0.76 % (4634)------------------------------
% 0.57/0.76 % (4634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (4634)Termination reason: Unknown
% 0.57/0.76 % (4634)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (4634)Memory used [KB]: 1479
% 0.57/0.76 % (4634)Time elapsed: 0.026 s
% 0.57/0.76 % (4634)Instructions burned: 45 (million)
% 0.57/0.76 % (4634)------------------------------
% 0.57/0.76 % (4634)------------------------------
% 0.57/0.77 % (4630)First to succeed.
% 0.57/0.77 % (4630)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4628"
% 0.57/0.77 % (4630)Refutation found. Thanks to Tanya!
% 0.57/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (4630)------------------------------
% 0.57/0.77 % (4630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (4630)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (4630)Memory used [KB]: 1413
% 0.57/0.77 % (4630)Time elapsed: 0.022 s
% 0.57/0.77 % (4630)Instructions burned: 34 (million)
% 0.57/0.77 % (4628)Success in time 0.396 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------