TSTP Solution File: SWV480+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV480+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n005.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 10:34:46 EDT 2024
% Result : Theorem 0.88s 0.87s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 109 ( 34 unt; 0 def)
% Number of atoms : 1467 ( 625 equ)
% Maximal formula atoms : 250 ( 13 avg)
% Number of connectives : 2151 ( 793 ~; 658 |; 599 &)
% ( 11 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-2 aty)
% Number of variables : 593 ( 525 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1373,plain,
$false,
inference(avatar_sat_refutation,[],[f393,f434,f1000,f1038,f1184,f1369]) ).
fof(f1369,plain,
( ~ spl13_11
| ~ spl13_26 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl13_11
| ~ spl13_26 ),
inference(unit_resulting_resolution,[],[f211,f411,f214,f999,f608]) ).
fof(f608,plain,
( ! [X0,X1] :
( host(X1) != host(sK1)
| leq(nbr_proc,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) )
| ~ spl13_11 ),
inference(forward_demodulation,[],[f607,f392]) ).
fof(f392,plain,
( nbr_proc = index(pendack,host(sK1))
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl13_11
<=> nbr_proc = index(pendack,host(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f607,plain,
! [X0,X1] :
( leq(index(pendack,host(sK1)),host(X0))
| host(X1) != host(sK1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f606,f217]) ).
fof(f217,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( host(sK1) = host(sK4)
& setIn(sK4,alive)
& elec_1 = index(status,host(sK7))
& host(sK5) = s(host(sK7))
& elem(m_Down(sK6),queue(host(sK7)))
& elem(m_Down(sK5),queue(host(sK7)))
& leq(nbr_proc,s(host(sK7)))
& setIn(sK7,alive)
& ! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) )
& host(sK1) != host(sK7)
& host(sK1) = host(sK4)
& ~ setIn(host(sK3),index(acks,host(sK1)))
& leq(nbr_proc,index(pendack,host(sK1)))
& index(pendack,host(sK1)) = host(sK2)
& elec_2 = index(status,host(sK1))
& leq(host(sK1),host(sK2))
& setIn(sK1,alive)
& queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ( host(X11) != sK8(X11,X12)
& ~ setIn(sK8(X11,X12),index(down,host(X12)))
& leq(s(zero),sK8(X11,X12))
& ~ leq(host(X12),sK8(X11,X12)) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ( host(X16) != sK9(X16,X17)
& ~ setIn(sK9(X16,X17),index(down,host(X17)))
& leq(s(zero),sK9(X16,X17))
& ~ leq(host(X17),sK9(X16,X17)) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f142,f148,f147,f146,f145,f144,f143]) ).
fof(f143,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X1) != host(X7) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& host(X2) = index(pendack,host(X1))
& elec_2 = index(status,host(X1))
& leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) )
=> ( ? [X3] :
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK1)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK1) )
& host(X4) = host(sK1) )
& ~ setIn(host(X3),index(acks,host(sK1))) )
& leq(nbr_proc,index(pendack,host(sK1)))
& index(pendack,host(sK1)) = host(sK2)
& elec_2 = index(status,host(sK1))
& leq(host(sK1),host(sK2))
& setIn(sK1,alive)
& queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X3] :
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK1)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK1) )
& host(X4) = host(sK1) )
& ~ setIn(host(X3),index(acks,host(sK1))) )
=> ( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK1)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK1) )
& host(X4) = host(sK1) )
& ~ setIn(host(sK3),index(acks,host(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK1)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK1) )
& host(X4) = host(sK1) )
=> ( ? [X7,X6,X5] :
( host(sK1) = host(sK4)
& setIn(sK4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK1) )
& host(sK1) = host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X7,X6,X5] :
( host(sK1) = host(sK4)
& setIn(sK4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK1) )
=> ( host(sK1) = host(sK4)
& setIn(sK4,alive)
& elec_1 = index(status,host(sK7))
& host(sK5) = s(host(sK7))
& elem(m_Down(sK6),queue(host(sK7)))
& elem(m_Down(sK5),queue(host(sK7)))
& leq(nbr_proc,s(host(sK7)))
& setIn(sK7,alive)
& ! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) )
& host(sK1) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X11,X12] :
( ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) != sK8(X11,X12)
& ~ setIn(sK8(X11,X12),index(down,host(X12)))
& leq(s(zero),sK8(X11,X12))
& ~ leq(host(X12),sK8(X11,X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X16,X17] :
( ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) )
=> ( host(X16) != sK9(X16,X17)
& ~ setIn(sK9(X16,X17),index(down,host(X17)))
& leq(s(zero),sK9(X16,X17))
& ~ leq(host(X17),sK9(X16,X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X1) != host(X7) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& host(X2) = index(pendack,host(X1))
& elec_2 = index(status,host(X1))
& leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54) )
& host(X2) = host(X51) )
& ~ setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54) )
& host(X2) = host(X51) )
& ~ setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( elec_1 = index(status,host(X12))
& elec_2 = index(status,host(X9))
& host(X12) = host(X10)
& elem(m_Down(X11),queue(host(X12)))
& leq(host(X9),host(X12))
& setIn(X9,alive)
& ! [X13] :
( ( leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) = X13
| setIn(X13,index(down,host(X12))) ) ) )
=> ~ elem(m_Ack(X9,X10),queue(host(X9))) )
& ! [X14,X15,X16] :
( ( host(X15) = host(index(elid,host(X16)))
& wait = index(status,host(X16))
& host(X14) = host(X15)
& elem(m_Down(X14),queue(host(X16)))
& setIn(X16,alive)
& host(X15) != host(X16) )
=> ~ ( host(X15) = index(ldr,host(X15))
& norm = index(status,host(X15))
& setIn(X15,alive) ) )
& ! [X17,X18,X19] :
( ( host(X18) = index(ldr,host(X19))
& norm = index(status,host(X19))
& host(X18) = host(X17)
& elem(m_Down(X17),queue(host(X19)))
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ ( host(X18) = index(ldr,host(X18))
& norm = index(status,host(X18))
& setIn(X18,alive) ) )
& ! [X20,X21,X22,X23] :
( ( host(X23) = host(X22)
& host(X20) = host(X21)
& setIn(X22,alive)
& setIn(X20,alive)
& host(X22) != host(X20) )
=> ~ ( setIn(host(X21),index(down,host(X22)))
& elem(m_Down(X23),queue(host(X20))) ) )
& ! [X24,X25,X26,X27] :
( ( host(X27) = host(X26)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X26) != host(X24) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),queue(host(X24))) ) )
& ! [X28,X29,X30] :
( ( host(X28) = host(X29)
& elem(m_Down(X29),queue(host(X30)))
& setIn(X30,alive)
& ~ leq(host(X29),host(X30)) )
=> ~ ( norm = index(status,host(X28))
& host(X28) = index(ldr,host(X28))
& setIn(X28,alive) ) )
& ! [X31,X32] :
( ( host(X32) = index(ldr,host(X32))
& norm = index(status,host(X32))
& norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31))
& setIn(X32,alive)
& setIn(X31,alive) )
=> X31 = X32 )
& ! [X33,X34,X35] :
( ( host(X35) = index(ldr,host(X35))
& norm = index(status,host(X35))
& host(X35) = host(X34)
& setIn(X35,alive) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) )
& ! [X36,X37,X38] :
( ( elec_2 = index(status,host(X38))
& host(X38) = host(X37)
& elem(m_Down(X37),queue(host(X36)))
& setIn(X38,alive)
& setIn(X36,alive) )
=> leq(index(pendack,host(X38)),host(X36)) )
& ! [X39,X40] :
( ( host(X40) = index(ldr,host(X40))
& norm = index(status,host(X40))
& setIn(X40,alive) )
=> ~ ( setIn(host(X40),index(down,host(X39)))
& setIn(X39,alive) ) )
& ! [X41,X42] :
( ( elec_2 = index(status,host(X42))
& setIn(host(X42),index(down,host(X41)))
& setIn(X42,alive)
& setIn(X41,alive) )
=> leq(index(pendack,host(X42)),host(X41)) )
& ! [X43] :
( ( setIn(X43,alive)
& ( elec_2 = index(status,host(X43))
| elec_1 = index(status,host(X43)) ) )
=> index(elid,host(X43)) = X43 )
& ! [X44,X45] :
( ( host(X44) = host(X45)
& X44 != X45 )
=> ( ~ setIn(X45,alive)
| ~ setIn(X44,alive) ) )
& ! [X46,X47] :
( elem(m_Down(X47),queue(host(X46)))
=> host(X46) != host(X47) )
& ! [X48,X49] :
( elem(m_Ldr(X49),queue(host(X48)))
=> ~ leq(host(X48),host(X49)) ) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( ~ setIn(host(X50),index(acks,host(X2)))
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X2) != host(X54)
=> ( ( elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ( leq(s(zero),X55)
& ~ leq(host(X54),X55) )
=> ( host(X53) = X55
| setIn(X55,index(down,host(X54))) ) ) )
=> ~ ( host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( leq(host(X4),host(X5))
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4)) )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ~ setIn(host(X6),index(acks,host(X4)))
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& elem(m_Down(X17),queue(host(X19)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( leq(host(X4),host(X5))
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4)) )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ~ setIn(host(X6),index(acks,host(X4)))
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& elem(m_Down(X17),queue(host(X19)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',conj) ).
fof(f606,plain,
! [X0,X1] :
( leq(index(pendack,host(sK1)),host(X0))
| host(X1) != host(sK1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f601,f204]) ).
fof(f204,plain,
elec_2 = index(status,host(sK1)),
inference(cnf_transformation,[],[f149]) ).
fof(f601,plain,
! [X0,X1] :
( elec_2 != index(status,host(sK1))
| leq(index(pendack,host(sK1)),host(X0))
| host(X1) != host(sK1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) ),
inference(superposition,[],[f185,f218]) ).
fof(f218,plain,
host(sK1) = host(sK4),
inference(cnf_transformation,[],[f149]) ).
fof(f185,plain,
! [X41,X42,X43] :
( elec_2 != index(status,host(X43))
| leq(index(pendack,host(X43)),host(X41))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) ),
inference(cnf_transformation,[],[f149]) ).
fof(f999,plain,
( host(sK1) = host(sK6)
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl13_26
<=> host(sK1) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f214,plain,
elem(m_Down(sK6),queue(host(sK7))),
inference(cnf_transformation,[],[f149]) ).
fof(f411,plain,
~ leq(nbr_proc,host(sK7)),
inference(forward_demodulation,[],[f401,f350]) ).
fof(f350,plain,
nbr_proc = host(sK5),
inference(subsumption_resolution,[],[f349,f252]) ).
fof(f252,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_04) ).
fof(f349,plain,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc) ),
inference(resolution,[],[f328,f263]) ).
fof(f263,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_61) ).
fof(f328,plain,
leq(nbr_proc,host(sK5)),
inference(forward_demodulation,[],[f212,f215]) ).
fof(f215,plain,
host(sK5) = s(host(sK7)),
inference(cnf_transformation,[],[f149]) ).
fof(f212,plain,
leq(nbr_proc,s(host(sK7))),
inference(cnf_transformation,[],[f149]) ).
fof(f401,plain,
~ leq(host(sK5),host(sK7)),
inference(superposition,[],[f268,f215]) ).
fof(f268,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_58) ).
fof(f211,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f149]) ).
fof(f1184,plain,
( ~ spl13_11
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| ~ spl13_11
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f1114,f1058]) ).
fof(f1058,plain,
( elem(head(queue(nbr_proc)),queue(nbr_proc))
| ~ spl13_14 ),
inference(superposition,[],[f476,f444]) ).
fof(f444,plain,
( nbr_proc = host(sK1)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl13_14
<=> nbr_proc = host(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f476,plain,
elem(head(queue(host(sK1))),queue(host(sK1))),
inference(forward_demodulation,[],[f461,f460]) ).
fof(f460,plain,
m_Down(sK2) = head(queue(host(sK1))),
inference(superposition,[],[f299,f201]) ).
fof(f201,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f149]) ).
fof(f299,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_35) ).
fof(f461,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[],[f316,f201]) ).
fof(f316,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f248]) ).
fof(f248,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_46) ).
fof(f1114,plain,
( ~ elem(head(queue(nbr_proc)),queue(nbr_proc))
| ~ spl13_11
| ~ spl13_14 ),
inference(trivial_inequality_removal,[],[f1110]) ).
fof(f1110,plain,
( nbr_proc != nbr_proc
| ~ elem(head(queue(nbr_proc)),queue(nbr_proc))
| ~ spl13_11
| ~ spl13_14 ),
inference(superposition,[],[f498,f444]) ).
fof(f498,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(head(queue(host(sK1))),queue(host(X0))) )
| ~ spl13_11 ),
inference(forward_demodulation,[],[f497,f460]) ).
fof(f497,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK2),queue(host(X0))) )
| ~ spl13_11 ),
inference(forward_demodulation,[],[f491,f392]) ).
fof(f491,plain,
! [X0] :
( host(X0) != index(pendack,host(sK1))
| ~ elem(m_Down(sK2),queue(host(X0))) ),
inference(superposition,[],[f179,f205]) ).
fof(f205,plain,
index(pendack,host(sK1)) = host(sK2),
inference(cnf_transformation,[],[f149]) ).
fof(f179,plain,
! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1038,plain,
( spl13_14
| ~ spl13_25 ),
inference(avatar_split_clause,[],[f1037,f993,f442]) ).
fof(f993,plain,
( spl13_25
<=> leq(host(sK7),host(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f1037,plain,
( nbr_proc = host(sK1)
| ~ spl13_25 ),
inference(subsumption_resolution,[],[f1033,f252]) ).
fof(f1033,plain,
( ~ leq(host(sK1),nbr_proc)
| nbr_proc = host(sK1)
| ~ spl13_25 ),
inference(resolution,[],[f1005,f405]) ).
fof(f405,plain,
! [X0] :
( leq(X0,host(sK7))
| ~ leq(X0,nbr_proc)
| nbr_proc = X0 ),
inference(forward_demodulation,[],[f404,f350]) ).
fof(f404,plain,
! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK5) = X0
| leq(X0,host(sK7)) ),
inference(forward_demodulation,[],[f395,f350]) ).
fof(f395,plain,
! [X0] :
( ~ leq(X0,host(sK5))
| host(sK5) = X0
| leq(X0,host(sK7)) ),
inference(superposition,[],[f257,f215]) ).
fof(f257,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_64) ).
fof(f1005,plain,
( ~ leq(host(sK1),host(sK7))
| ~ spl13_25 ),
inference(subsumption_resolution,[],[f1004,f209]) ).
fof(f209,plain,
host(sK1) != host(sK7),
inference(cnf_transformation,[],[f149]) ).
fof(f1004,plain,
( host(sK1) = host(sK7)
| ~ leq(host(sK1),host(sK7))
| ~ spl13_25 ),
inference(resolution,[],[f995,f263]) ).
fof(f995,plain,
( leq(host(sK7),host(sK1))
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f1000,plain,
( spl13_25
| spl13_26
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f991,f390,f997,f993]) ).
fof(f991,plain,
( host(sK1) = host(sK6)
| leq(host(sK7),host(sK1))
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f990,f253]) ).
fof(f253,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox/tmp/tmp.QD0XYHXebE/Vampire---4.8_1783',axiom_02) ).
fof(f990,plain,
( host(sK1) = host(sK6)
| ~ leq(s(zero),host(sK1))
| leq(host(sK7),host(sK1))
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f989,f211]) ).
fof(f989,plain,
( ~ setIn(sK7,alive)
| host(sK1) = host(sK6)
| ~ leq(s(zero),host(sK1))
| leq(host(sK7),host(sK1))
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f983,f411]) ).
fof(f983,plain,
( leq(nbr_proc,host(sK7))
| ~ setIn(sK7,alive)
| host(sK1) = host(sK6)
| ~ leq(s(zero),host(sK1))
| leq(host(sK7),host(sK1))
| ~ spl13_11 ),
inference(resolution,[],[f583,f210]) ).
fof(f210,plain,
! [X8] :
( setIn(X8,index(down,host(sK7)))
| host(sK6) = X8
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) ),
inference(cnf_transformation,[],[f149]) ).
fof(f583,plain,
( ! [X0] :
( ~ setIn(host(sK1),index(down,host(X0)))
| leq(nbr_proc,host(X0))
| ~ setIn(X0,alive) )
| ~ spl13_11 ),
inference(forward_demodulation,[],[f582,f392]) ).
fof(f582,plain,
! [X0] :
( leq(index(pendack,host(sK1)),host(X0))
| ~ setIn(host(sK1),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f581,f217]) ).
fof(f581,plain,
! [X0] :
( leq(index(pendack,host(sK1)),host(X0))
| ~ setIn(host(sK1),index(down,host(X0)))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f576,f204]) ).
fof(f576,plain,
! [X0] :
( elec_2 != index(status,host(sK1))
| leq(index(pendack,host(sK1)),host(X0))
| ~ setIn(host(sK1),index(down,host(X0)))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) ),
inference(superposition,[],[f183,f218]) ).
fof(f183,plain,
! [X46,X47] :
( elec_2 != index(status,host(X47))
| leq(index(pendack,host(X47)),host(X46))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) ),
inference(cnf_transformation,[],[f149]) ).
fof(f434,plain,
spl13_10,
inference(avatar_split_clause,[],[f420,f386]) ).
fof(f386,plain,
( spl13_10
<=> leq(index(pendack,host(sK1)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f420,plain,
leq(index(pendack,host(sK1)),nbr_proc),
inference(superposition,[],[f252,f205]) ).
fof(f393,plain,
( ~ spl13_10
| spl13_11 ),
inference(avatar_split_clause,[],[f384,f390,f386]) ).
fof(f384,plain,
( nbr_proc = index(pendack,host(sK1))
| ~ leq(index(pendack,host(sK1)),nbr_proc) ),
inference(resolution,[],[f206,f263]) ).
fof(f206,plain,
leq(nbr_proc,index(pendack,host(sK1))),
inference(cnf_transformation,[],[f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWV480+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.16 % 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
% 0.14/0.36 % Computer : n005.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
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 20:57:38 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 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.QD0XYHXebE/Vampire---4.8_1783
% 0.58/0.79 % (1897)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)
% 0.58/0.79 % (1898)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)
% 0.58/0.79 % (1900)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.79 % (1901)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)
% 0.58/0.79 % (1902)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)
% 0.58/0.79 % (1903)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)
% 0.58/0.79 % (1905)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)
% 0.58/0.79 % (1904)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)
% 0.58/0.81 % (1897)Instruction limit reached!
% 0.58/0.81 % (1897)------------------------------
% 0.58/0.81 % (1897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.81 % (1897)Termination reason: Unknown
% 0.58/0.81 % (1897)Termination phase: Saturation
% 0.58/0.81
% 0.58/0.81 % (1897)Memory used [KB]: 1495
% 0.58/0.81 % (1897)Time elapsed: 0.014 s
% 0.58/0.81 % (1897)Instructions burned: 36 (million)
% 0.58/0.81 % (1897)------------------------------
% 0.58/0.81 % (1897)------------------------------
% 0.58/0.81 % (1906)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)
% 0.58/0.81 % (1901)Instruction limit reached!
% 0.58/0.81 % (1901)------------------------------
% 0.58/0.81 % (1901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.81 % (1901)Termination reason: Unknown
% 0.58/0.81 % (1901)Termination phase: Saturation
% 0.58/0.81
% 0.58/0.81 % (1901)Memory used [KB]: 1517
% 0.58/0.81 % (1901)Time elapsed: 0.018 s
% 0.58/0.81 % (1901)Instructions burned: 34 (million)
% 0.58/0.81 % (1901)------------------------------
% 0.58/0.81 % (1901)------------------------------
% 0.64/0.81 % (1902)Instruction limit reached!
% 0.64/0.81 % (1902)------------------------------
% 0.64/0.81 % (1902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (1902)Termination reason: Unknown
% 0.64/0.81 % (1902)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (1902)Memory used [KB]: 1618
% 0.64/0.81 % (1902)Time elapsed: 0.020 s
% 0.64/0.81 % (1902)Instructions burned: 35 (million)
% 0.64/0.81 % (1902)------------------------------
% 0.64/0.81 % (1902)------------------------------
% 0.64/0.82 % (1908)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)
% 0.64/0.82 % (1903)Instruction limit reached!
% 0.64/0.82 % (1903)------------------------------
% 0.64/0.82 % (1903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (1903)Termination reason: Unknown
% 0.64/0.82 % (1903)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1903)Memory used [KB]: 1519
% 0.64/0.82 % (1903)Time elapsed: 0.026 s
% 0.64/0.82 % (1903)Instructions burned: 46 (million)
% 0.64/0.82 % (1903)------------------------------
% 0.64/0.82 % (1903)------------------------------
% 0.64/0.82 % (1898)Instruction limit reached!
% 0.64/0.82 % (1898)------------------------------
% 0.64/0.82 % (1898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (1898)Termination reason: Unknown
% 0.64/0.82 % (1898)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1898)Memory used [KB]: 1713
% 0.64/0.82 % (1898)Time elapsed: 0.027 s
% 0.64/0.82 % (1898)Instructions burned: 52 (million)
% 0.64/0.82 % (1898)------------------------------
% 0.64/0.82 % (1898)------------------------------
% 0.64/0.82 % (1905)Instruction limit reached!
% 0.64/0.82 % (1905)------------------------------
% 0.64/0.82 % (1905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (1905)Termination reason: Unknown
% 0.64/0.82 % (1905)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1905)Memory used [KB]: 1678
% 0.64/0.82 % (1905)Time elapsed: 0.027 s
% 0.64/0.82 % (1905)Instructions burned: 56 (million)
% 0.64/0.82 % (1905)------------------------------
% 0.64/0.82 % (1905)------------------------------
% 0.64/0.82 % (1909)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 (2995ds/52Mi)
% 0.64/0.82 % (1907)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)
% 0.64/0.82 % (1910)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 (2995ds/518Mi)
% 0.64/0.82 % (1911)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.64/0.83 % (1906)Instruction limit reached!
% 0.64/0.83 % (1906)------------------------------
% 0.64/0.83 % (1906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83 % (1906)Termination reason: Unknown
% 0.64/0.83 % (1906)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (1906)Memory used [KB]: 1661
% 0.64/0.83 % (1906)Time elapsed: 0.019 s
% 0.64/0.83 % (1906)Instructions burned: 57 (million)
% 0.64/0.83 % (1906)------------------------------
% 0.64/0.83 % (1906)------------------------------
% 0.64/0.83 % (1912)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.64/0.84 % (1900)Instruction limit reached!
% 0.64/0.84 % (1900)------------------------------
% 0.64/0.84 % (1900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (1900)Termination reason: Unknown
% 0.64/0.84 % (1900)Termination phase: Saturation
% 0.64/0.84
% 0.64/0.84 % (1900)Memory used [KB]: 1861
% 0.64/0.84 % (1900)Time elapsed: 0.043 s
% 0.64/0.84 % (1900)Instructions burned: 78 (million)
% 0.64/0.84 % (1900)------------------------------
% 0.64/0.84 % (1900)------------------------------
% 0.64/0.84 % (1904)Instruction limit reached!
% 0.64/0.84 % (1904)------------------------------
% 0.64/0.84 % (1904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (1904)Termination reason: Unknown
% 0.64/0.84 % (1904)Termination phase: Saturation
% 0.64/0.84
% 0.64/0.84 % (1904)Memory used [KB]: 1842
% 0.64/0.84 % (1904)Time elapsed: 0.045 s
% 0.64/0.84 % (1904)Instructions burned: 83 (million)
% 0.64/0.84 % (1904)------------------------------
% 0.64/0.84 % (1904)------------------------------
% 0.64/0.84 % (1914)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.64/0.84 % (1913)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.64/0.84 % (1907)Instruction limit reached!
% 0.64/0.84 % (1907)------------------------------
% 0.64/0.84 % (1907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (1907)Termination reason: Unknown
% 0.64/0.84 % (1907)Termination phase: Saturation
% 0.64/0.84
% 0.64/0.84 % (1907)Memory used [KB]: 1602
% 0.64/0.84 % (1907)Time elapsed: 0.024 s
% 0.64/0.84 % (1907)Instructions burned: 52 (million)
% 0.64/0.84 % (1907)------------------------------
% 0.64/0.84 % (1907)------------------------------
% 0.88/0.85 % (1911)Instruction limit reached!
% 0.88/0.85 % (1911)------------------------------
% 0.88/0.85 % (1911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.85 % (1911)Termination reason: Unknown
% 0.88/0.85 % (1911)Termination phase: Saturation
% 0.88/0.85
% 0.88/0.85 % (1911)Memory used [KB]: 1924
% 0.88/0.85 % (1911)Time elapsed: 0.024 s
% 0.88/0.85 % (1911)Instructions burned: 42 (million)
% 0.88/0.85 % (1911)------------------------------
% 0.88/0.85 % (1911)------------------------------
% 0.88/0.85 % (1909)Instruction limit reached!
% 0.88/0.85 % (1909)------------------------------
% 0.88/0.85 % (1909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.85 % (1909)Termination reason: Unknown
% 0.88/0.85 % (1909)Termination phase: Saturation
% 0.88/0.85
% 0.88/0.85 % (1909)Memory used [KB]: 1780
% 0.88/0.85 % (1909)Time elapsed: 0.028 s
% 0.88/0.85 % (1909)Instructions burned: 53 (million)
% 0.88/0.85 % (1909)------------------------------
% 0.88/0.85 % (1909)------------------------------
% 0.88/0.85 % (1915)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.88/0.85 % (1916)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.88/0.85 % (1917)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.88/0.86 % (1910)First to succeed.
% 0.88/0.87 % (1917)Instruction limit reached!
% 0.88/0.87 % (1917)------------------------------
% 0.88/0.87 % (1917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87 % (1917)Termination reason: Unknown
% 0.88/0.87 % (1917)Termination phase: Saturation
% 0.88/0.87
% 0.88/0.87 % (1917)Memory used [KB]: 1436
% 0.88/0.87 % (1917)Time elapsed: 0.018 s
% 0.88/0.87 % (1917)Instructions burned: 32 (million)
% 0.88/0.87 % (1917)------------------------------
% 0.88/0.87 % (1917)------------------------------
% 0.88/0.87 % (1910)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1896"
% 0.88/0.87 % (1910)Refutation found. Thanks to Tanya!
% 0.88/0.87 % SZS status Theorem for Vampire---4
% 0.88/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 0.88/0.87 % (1910)------------------------------
% 0.88/0.87 % (1910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87 % (1910)Termination reason: Refutation
% 0.88/0.87
% 0.88/0.87 % (1910)Memory used [KB]: 1725
% 0.88/0.87 % (1910)Time elapsed: 0.048 s
% 0.88/0.87 % (1910)Instructions burned: 97 (million)
% 0.88/0.87 % (1896)Success in time 0.484 s
% 0.88/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------