%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV479+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:15:55 PM UTC 2026
% Result : Theorem 3.58s 1.19s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 97 ( 34 unt; 2 def)
% Number of atoms : 1119 ( 489 equ)
% Maximal formula atoms : 126 ( 11 avg)
% Number of connectives : 1603 ( 581 ~; 480 |; 450 &)
% ( 5 <=>; 87 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-2 aty)
% Number of variables : 446 ( 2 sgn 416 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) != host(X11)
=> ( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) != host(X11)
=> ( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( ( X8 != X9
& host(X8) = host(X9) )
=> ( ~ setIn(X8,alive)
| ~ setIn(X9,alive) ) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( setIn(X15,alive)
& setIn(X17,alive)
& elem(m_Down(X16),queue(host(X15)))
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X18,X19,X20] :
( ( setIn(X20,alive)
& host(X20) = host(X19)
& norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20)) )
=> ~ ( setIn(X18,alive)
& elem(m_Down(X19),queue(host(X18))) ) )
& ! [X21,X22] :
( ( setIn(X21,alive)
& setIn(X22,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21))
& norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22)) )
=> X21 = X22 )
& ! [X23,X24,X25] :
( ( ~ leq(host(X24),host(X25))
& setIn(X25,alive)
& elem(m_Down(X24),queue(host(X25)))
& host(X24) = host(X23) )
=> ~ ( setIn(X23,alive)
& host(X23) = index(ldr,host(X23))
& norm = index(status,host(X23)) ) )
& ! [X26,X27,X28,X29] :
( ( host(X26) != host(X28)
& setIn(X26,alive)
& setIn(X28,alive)
& host(X26) = host(X27)
& host(X28) = host(X29) )
=> ~ ( elem(m_Down(X29),queue(host(X26)))
& elem(m_Down(X27),queue(host(X28))) ) )
& ! [X30,X31,X32,X33] :
( ( host(X30) != host(X32)
& setIn(X30,alive)
& setIn(X32,alive)
& host(X30) = host(X31)
& host(X32) = host(X33) )
=> ~ ( elem(m_Down(X33),queue(host(X30)))
& setIn(host(X31),index(down,host(X32))) ) )
& ! [X34,X35,X36] :
( ( host(X36) != host(X35)
& setIn(X36,alive)
& elem(m_Down(X34),queue(host(X36)))
& host(X35) = host(X34)
& norm = index(status,host(X36))
& host(X35) = index(ldr,host(X36)) )
=> ~ ( setIn(X35,alive)
& norm = index(status,host(X35))
& host(X35) = index(ldr,host(X35)) ) )
& ! [X37,X38,X39] :
( ( host(X39) != host(X38)
& setIn(X39,alive)
& elem(m_Down(X37),queue(host(X39)))
& host(X38) = host(X37)
& wait = index(status,host(X39))
& host(X38) = host(index(elid,host(X39))) )
=> ~ ( setIn(X38,alive)
& norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38)) ) )
& ! [X40,X41,X42,X43] :
( ( ! [X44] :
( ( ~ leq(host(X43),X44)
& leq(s(zero),X44) )
=> ( setIn(X44,index(down,host(X43)))
| host(X42) = X44 ) )
& setIn(X40,alive)
& leq(host(X40),host(X43))
& elem(m_Down(X42),queue(host(X43)))
& host(X43) = host(X41)
& elec_2 = index(status,host(X40))
& elec_1 = index(status,host(X43)) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X45,X46,X47,X48] :
( ( ! [X49] :
( ( ~ leq(host(X48),X49)
& leq(s(zero),X49) )
=> ( setIn(X49,index(down,host(X48)))
| host(X47) = X49 ) )
& setIn(X48,alive)
& leq(nbr_proc,s(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& elem(m_Down(X46),queue(host(X48)))
& s(host(X48)) = host(X46)
& elec_1 = index(status,host(X48)) )
=> ~ ( setIn(X45,alive)
& host(X45) = index(ldr,host(X45))
& norm = index(status,host(X45)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,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(X50) != host(X54)
=> ( host(X2) != host(X54)
=> ( ( ! [X55] :
( ( ~ leq(host(X54),X55)
& leq(s(zero),X55) )
=> ( setIn(X55,index(down,host(X54)))
| host(X53) = X55 ) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54)) )
=> ~ ( setIn(X51,alive)
& host(X2) = host(X51) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f110,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( setIn(X4,alive)
& host(X1) = host(X4)
& ! [X8] :
( setIn(X8,index(down,host(X7)))
| host(X6) = X8
| leq(host(X7),X8)
| ~ leq(s(zero),X8) )
& setIn(X7,alive)
& leq(nbr_proc,s(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& host(X5) = s(host(X7))
& elec_1 = index(status,host(X7))
& host(X1) != host(X7)
& host(X7) != host(X3) )
& host(X1) = host(X4) )
& setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& elec_2 = index(status,host(X1))
& host(X2) = index(pendack,host(X1))
& leq(host(X1),host(X2))
& setIn(X1,alive)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X14) != host(X13) )
& ! [X15] :
( index(elid,host(X15)) = X15
| ( elec_1 != index(status,host(X15))
& elec_2 != index(status,host(X15)) )
| ~ setIn(X15,alive) )
& ! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(host(X19),index(down,host(X18)))
| ~ setIn(X19,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19)) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| elec_2 != index(status,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X25,alive)
| host(X24) != host(X25)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25)) )
& ! [X26,X27] :
( X26 = X27
| ~ setIn(X26,alive)
| ~ setIn(X27,alive)
| host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27)) )
& ! [X28,X29,X30] :
( ~ setIn(X28,alive)
| host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| leq(host(X29),host(X30))
| ~ setIn(X30,alive)
| ~ elem(m_Down(X29),queue(host(X30)))
| host(X28) != host(X29) )
& ! [X31,X32,X33,X34] :
( ~ elem(m_Down(X34),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X33)))
| host(X31) = host(X33)
| ~ setIn(X31,alive)
| ~ setIn(X33,alive)
| host(X32) != host(X31)
| host(X33) != host(X34) )
& ! [X35,X36,X37,X38] :
( ~ elem(m_Down(X38),queue(host(X35)))
| ~ setIn(host(X36),index(down,host(X37)))
| host(X35) = host(X37)
| ~ setIn(X35,alive)
| ~ setIn(X37,alive)
| host(X36) != host(X35)
| host(X38) != host(X37) )
& ! [X39,X40,X41] :
( ~ setIn(X40,alive)
| norm != index(status,host(X40))
| host(X40) != index(ldr,host(X40))
| host(X40) = host(X41)
| ~ setIn(X41,alive)
| ~ elem(m_Down(X39),queue(host(X41)))
| host(X39) != host(X40)
| norm != index(status,host(X41))
| host(X40) != index(ldr,host(X41)) )
& ! [X42,X43,X44] :
( ~ setIn(X43,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43))
| host(X43) = host(X44)
| ~ setIn(X44,alive)
| ~ elem(m_Down(X42),queue(host(X44)))
| host(X43) != host(X42)
| wait != index(status,host(X44))
| host(X43) != host(index(elid,host(X44))) )
& ! [X45,X46,X47,X48] :
( ~ elem(m_Ack(X45,X46),queue(host(X45)))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X45,alive)
| ~ leq(host(X45),host(X48))
| ~ elem(m_Down(X47),queue(host(X48)))
| host(X48) != host(X46)
| elec_2 != index(status,host(X45))
| elec_1 != index(status,host(X48)) )
& ! [X50,X51,X52,X53] :
( ~ setIn(X50,alive)
| host(X50) != index(ldr,host(X50))
| norm != index(status,host(X50))
| ? [X54] :
( ~ setIn(X54,index(down,host(X53)))
& host(X52) != X54
& ~ leq(host(X53),X54)
& leq(s(zero),X54) )
| ~ setIn(X53,alive)
| ~ leq(nbr_proc,s(host(X53)))
| ~ elem(m_Down(X52),queue(host(X53)))
| ~ elem(m_Down(X51),queue(host(X53)))
| host(X51) != s(host(X53))
| elec_1 != index(status,host(X53)) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK7,alive)
& host(sK4) = host(sK7)
& ! [X8] :
( setIn(X8,index(down,host(sK10)))
| host(sK9) = X8
| leq(host(sK10),X8)
| ~ leq(s(zero),X8) )
& setIn(sK10,alive)
& leq(nbr_proc,s(host(sK10)))
& elem(m_Down(sK8),queue(host(sK10)))
& elem(m_Down(sK9),queue(host(sK10)))
& s(host(sK10)) = host(sK8)
& elec_1 = index(status,host(sK10))
& host(sK4) != host(sK10)
& host(sK10) != host(sK6)
& host(sK4) = host(sK7)
& setIn(host(sK6),index(acks,host(sK4)))
& leq(nbr_proc,index(pendack,host(sK4)))
& elec_2 = index(status,host(sK4))
& index(pendack,host(sK4)) = host(sK5)
& leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X14) != host(X13) )
& ! [X15] :
( index(elid,host(X15)) = X15
| ( elec_1 != index(status,host(X15))
& elec_2 != index(status,host(X15)) )
| ~ setIn(X15,alive) )
& ! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(host(X19),index(down,host(X18)))
| ~ setIn(X19,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19)) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| elec_2 != index(status,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X25,alive)
| host(X24) != host(X25)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25)) )
& ! [X26,X27] :
( X26 = X27
| ~ setIn(X26,alive)
| ~ setIn(X27,alive)
| host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27)) )
& ! [X28,X29,X30] :
( ~ setIn(X28,alive)
| host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| leq(host(X29),host(X30))
| ~ setIn(X30,alive)
| ~ elem(m_Down(X29),queue(host(X30)))
| host(X28) != host(X29) )
& ! [X31,X32,X33,X34] :
( ~ elem(m_Down(X34),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X33)))
| host(X31) = host(X33)
| ~ setIn(X31,alive)
| ~ setIn(X33,alive)
| host(X32) != host(X31)
| host(X33) != host(X34) )
& ! [X35,X36,X37,X38] :
( ~ elem(m_Down(X38),queue(host(X35)))
| ~ setIn(host(X36),index(down,host(X37)))
| host(X35) = host(X37)
| ~ setIn(X35,alive)
| ~ setIn(X37,alive)
| host(X36) != host(X35)
| host(X38) != host(X37) )
& ! [X39,X40,X41] :
( ~ setIn(X40,alive)
| norm != index(status,host(X40))
| host(X40) != index(ldr,host(X40))
| host(X40) = host(X41)
| ~ setIn(X41,alive)
| ~ elem(m_Down(X39),queue(host(X41)))
| host(X39) != host(X40)
| norm != index(status,host(X41))
| host(X40) != index(ldr,host(X41)) )
& ! [X42,X43,X44] :
( ~ setIn(X43,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43))
| host(X43) = host(X44)
| ~ setIn(X44,alive)
| ~ elem(m_Down(X42),queue(host(X44)))
| host(X43) != host(X42)
| wait != index(status,host(X44))
| host(X43) != host(index(elid,host(X44))) )
& ! [X45,X46,X47,X48] :
( ~ elem(m_Ack(X45,X46),queue(host(X45)))
| ( ~ setIn(sK11(X47,X48),index(down,host(X48)))
& host(X47) != sK11(X47,X48)
& ~ leq(host(X48),sK11(X47,X48))
& leq(s(zero),sK11(X47,X48)) )
| ~ setIn(X45,alive)
| ~ leq(host(X45),host(X48))
| ~ elem(m_Down(X47),queue(host(X48)))
| host(X48) != host(X46)
| elec_2 != index(status,host(X45))
| elec_1 != index(status,host(X48)) )
& ! [X50,X51,X52,X53] :
( ~ setIn(X50,alive)
| host(X50) != index(ldr,host(X50))
| norm != index(status,host(X50))
| ( ~ setIn(sK12(X52,X53),index(down,host(X53)))
& host(X52) != sK12(X52,X53)
& ~ leq(host(X53),sK12(X52,X53))
& leq(s(zero),sK12(X52,X53)) )
| ~ setIn(X53,alive)
| ~ leq(nbr_proc,s(host(X53)))
| ~ elem(m_Down(X52),queue(host(X53)))
| ~ elem(m_Down(X51),queue(host(X53)))
| host(X51) != s(host(X53))
| elec_1 != index(status,host(X53)) )
& queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X49,sK11(X47,X48)),skolemize(X54,sK12(X52,X53))],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f226,plain,
! [X21,X22,X20] :
( elec_2 != index(status,host(X22))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| leq(index(pendack,host(X22)),host(X20)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X16,X17] :
( ~ setIn(host(X17),index(down,host(X16)))
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16))
| elec_2 != index(status,host(X17)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| host(X11) != host(X12) ),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
s(host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
elem(m_Down(sK9),queue(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
elem(m_Down(sK8),queue(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
leq(nbr_proc,s(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f249,plain,
! [X8] :
( leq(host(sK10),X8)
| host(sK9) = X8
| setIn(X8,index(down,host(sK10)))
| ~ leq(s(zero),X8) ),
inference(cnf_transformation,[],[f113]) ).
fof(f251,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f258,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f284,plain,
leq(nbr_proc,host(sK8)),
inference(superposition,[],[f247,f244]) ).
fof(f285,plain,
leq(nbr_proc,host(sK5)),
inference(superposition,[],[f238,f236]) ).
fof(f287,plain,
host(sK10) != host(sK8),
inference(resolution,[],[f232,f246]) ).
fof(f335,plain,
! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK7,alive)
| leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(sK4)) ),
inference(superposition,[],[f228,f240]) ).
fof(f338,plain,
! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(sK4)) ),
inference(forward_subsumption_resolution,[],[f335,f251]) ).
fof(f339,plain,
! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f338,f237]) ).
fof(f340,plain,
! [X0] :
( leq(host(sK5),host(X0))
| ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f339,f236]) ).
fof(f342,plain,
! [X0,X1] :
( elec_2 != elec_2
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(superposition,[],[f226,f237]) ).
fof(f344,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f345,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f344,f234]) ).
fof(f347,plain,
! [X0,X1] :
( leq(host(sK5),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(forward_demodulation,[],[f345,f236]) ).
fof(f413,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f258,f210]) ).
fof(f416,plain,
host(sK4) != host(sK5),
inference(resolution,[],[f413,f232]) ).
fof(f486,plain,
! [X0] :
( setIn(X0,index(down,host(sK10)))
| ~ leq(X0,host(sK10))
| host(sK9) = X0
| host(sK10) = X0
| ~ leq(s(zero),X0) ),
inference(resolution,[],[f200,f249]) ).
fof(f488,plain,
! [X0,X1] :
( host(X0) = host(sK5)
| ~ leq(host(X0),host(sK5))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(resolution,[],[f200,f347]) ).
fof(f489,plain,
! [X0] :
( host(X0) = host(sK5)
| ~ leq(host(X0),host(sK5))
| ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(resolution,[],[f200,f340]) ).
fof(f502,plain,
( nbr_proc = host(sK8)
| ~ leq(host(sK8),nbr_proc) ),
inference(resolution,[],[f200,f284]) ).
fof(f503,plain,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc) ),
inference(resolution,[],[f200,f285]) ).
fof(f505,plain,
nbr_proc = host(sK5),
inference(forward_subsumption_resolution,[],[f503,f119]) ).
fof(f506,plain,
nbr_proc = host(sK8),
inference(forward_subsumption_resolution,[],[f502,f119]) ).
fof(f529,plain,
nbr_proc != host(sK4),
inference(superposition,[],[f416,f505]) ).
fof(f584,plain,
nbr_proc != host(sK10),
inference(superposition,[],[f287,f506]) ).
fof(f930,plain,
! [X0] :
( host(X0) = nbr_proc
| ~ leq(host(X0),host(sK5))
| ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f489,f505]) ).
fof(f931,plain,
! [X0] :
( ~ leq(host(X0),nbr_proc)
| host(X0) = nbr_proc
| ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f930,f505]) ).
fof(f932,plain,
! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| host(X0) = nbr_proc
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f931,f119]) ).
fof(f950,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK9)
| host(sK4) = host(sK10)
| ~ leq(s(zero),host(sK4))
| nbr_proc = host(sK10)
| ~ setIn(sK10,alive) ),
inference(resolution,[],[f486,f932]) ).
fof(f953,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK9)
| ~ leq(s(zero),host(sK4))
| nbr_proc = host(sK10)
| ~ setIn(sK10,alive) ),
inference(forward_subsumption_resolution,[],[f950,f242]) ).
fof(f957,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK9)
| nbr_proc = host(sK10)
| ~ setIn(sK10,alive) ),
inference(forward_subsumption_resolution,[],[f953,f117]) ).
fof(f967,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK9)
| ~ setIn(sK10,alive) ),
inference(forward_subsumption_resolution,[],[f957,f584]) ).
fof(f968,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK9) ),
inference(forward_subsumption_resolution,[],[f967,f248]) ).
fof(f970,definition,
( spl13_39
<=> host(sK4) = host(sK9) ),
introduced(definition,[new_symbols(definition,[spl13_39])],[avatar_definition]) ).
fof(f972,plain,
( host(sK4) = host(sK9)
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,definition,
( spl13_40
<=> leq(host(sK4),host(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f976,plain,
( ~ leq(host(sK4),host(sK10))
| spl13_40 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f977,plain,
( spl13_39
| ~ spl13_40 ),
inference(avatar_split_clause,[],[f968,f974,f970]) ).
fof(f978,plain,
( host(sK4) = s(host(sK10))
| ~ leq(host(sK4),s(host(sK10)))
| spl13_40 ),
inference(resolution,[],[f976,f206]) ).
fof(f983,plain,
( host(sK4) = host(sK8)
| ~ leq(host(sK4),s(host(sK10)))
| spl13_40 ),
inference(forward_demodulation,[],[f978,f244]) ).
fof(f985,plain,
( nbr_proc = host(sK4)
| ~ leq(host(sK4),s(host(sK10)))
| spl13_40 ),
inference(forward_demodulation,[],[f983,f506]) ).
fof(f988,plain,
( ~ leq(host(sK4),s(host(sK10)))
| spl13_40 ),
inference(forward_subsumption_resolution,[],[f985,f529]) ).
fof(f989,plain,
( ~ leq(host(sK4),host(sK8))
| spl13_40 ),
inference(forward_demodulation,[],[f988,f244]) ).
fof(f990,plain,
( ~ leq(host(sK4),nbr_proc)
| spl13_40 ),
inference(forward_demodulation,[],[f989,f506]) ).
fof(f991,plain,
( $false
| spl13_40 ),
inference(forward_subsumption_resolution,[],[f990,f119]) ).
fof(f992,plain,
spl13_40,
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f993,plain,
! [X0,X1] :
( host(X0) = nbr_proc
| ~ leq(host(X0),host(sK5))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(forward_demodulation,[],[f488,f505]) ).
fof(f994,plain,
! [X0,X1] :
( ~ leq(host(X0),nbr_proc)
| host(X0) = nbr_proc
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(forward_demodulation,[],[f993,f505]) ).
fof(f995,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| host(X0) = nbr_proc
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(forward_subsumption_resolution,[],[f994,f119]) ).
fof(f1029,plain,
! [X0] :
( nbr_proc = host(sK10)
| ~ elem(m_Down(X0),queue(host(sK10)))
| host(X0) != host(sK4) ),
inference(resolution,[],[f995,f248]) ).
fof(f1032,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10)))
| host(X0) != host(sK4) ),
inference(forward_subsumption_resolution,[],[f1029,f584]) ).
fof(f2789,plain,
host(sK4) != host(sK9),
inference(resolution,[],[f1032,f245]) ).
fof(f2793,plain,
( $false
| ~ spl13_39 ),
inference(forward_subsumption_resolution,[],[f2789,f972]) ).
fof(f2794,plain,
~ spl13_39,
inference(avatar_contradiction_clause,[],[f2793]) ).
cnf(s28,plain,
( spl13_39
| ~ spl13_40 ),
inference(sat_conversion,[],[f977]) ).
cnf(s30,plain,
spl13_40,
inference(sat_conversion,[],[f992]) ).
cnf(s176,plain,
~ spl13_39,
inference(sat_conversion,[],[f2794]) ).
cnf(s187,plain,
$false,
inference(rat,[],[s28,s30,s176]) ).
fof(f2795,plain,
$false,
inference(avatar_sat_refutation,[],[s187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV479+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 11:10:53 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.58/1.19 % (724585)Detected formulas, will run a generic FOF schedule.
% 3.58/1.19 % (724594)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=130721018:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.58/1.19 % (724594)Instruction limit reached!
% 3.58/1.19 % (724594)------------------------------
% 3.58/1.19 % (724594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (724594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (724594)CaDiCaL version: 2.1.3
% 3.58/1.19 % (724594)Termination reason: Instruction limit
% 3.58/1.19 % (724594)Termination phase: Saturation
% 3.58/1.19 % (724594)Time elapsed: 0.040 s
% 3.58/1.19 % (724594)Peak memory usage: 88 MB
% 3.58/1.19 % (724594)Instructions burned: 122 (million)
% 3.58/1.19 % (724592)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2541940358:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.58/1.19 % (724590)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2018111302:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.58/1.19 % (724593)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1058043731:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.58/1.19 % (724596)dis-21_1_sil=8000:lcm=predicate:random_seed=4265755036:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.58/1.19 % (724591)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2808219475:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.58/1.19 % (724595)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3713253973:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.58/1.19 % (724595)First to succeed.
% 3.58/1.19 % (724593)Instruction limit reached!
% 3.58/1.19 % (724593)------------------------------
% 3.58/1.19 % (724593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (724593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (724593)CaDiCaL version: 2.1.3
% 3.58/1.19 % (724593)Termination reason: Instruction limit
% 3.58/1.19 % (724593)Termination phase: Saturation
% 3.58/1.19 % (724593)Time elapsed: 0.070 s
% 3.58/1.19 % (724593)Peak memory usage: 89 MB
% 3.58/1.19 % (724593)Instructions burned: 109 (million)
% 3.58/1.19 % (724595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-724585"
% 3.58/1.19 % (724596)Instruction limit reached!
% 3.58/1.19 % (724596)------------------------------
% 3.58/1.19 % (724596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (724596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (724596)CaDiCaL version: 2.1.3
% 3.58/1.19 % (724596)Termination reason: Instruction limit
% 3.58/1.19 % (724596)Termination phase: Saturation
% 3.58/1.19 % (724596)Time elapsed: 0.076 s
% 3.58/1.19 % (724596)Peak memory usage: 88 MB
% 3.58/1.19 % (724596)Instructions burned: 129 (million)
% 3.58/1.19 % (724598)lrs+10_1_sil=8000:sp=occurrence:random_seed=528039165:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.58/1.19 % (724598)Instruction limit reached!
% 3.58/1.19 % (724598)------------------------------
% 3.58/1.19 % (724598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (724598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (724598)CaDiCaL version: 2.1.3
% 3.58/1.19 % (724598)Termination reason: Instruction limit
% 3.58/1.19 % (724598)Termination phase: Saturation
% 3.58/1.19 % (724598)Time elapsed: 0.100 s
% 3.58/1.19 % (724598)Peak memory usage: 91 MB
% 3.58/1.19 % (724598)Instructions burned: 288 (million)
% 3.58/1.19 % (724605)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1044302782:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.58/1.19 % (724606)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3380975508:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.58/1.19 % (724595)Refutation found. Thanks to Tanya!
% 3.58/1.19 % SZS status Theorem for theBenchmark
% 3.58/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.22/1.39 % (724595)------------------------------
% 4.22/1.39 % (724595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.22/1.39 % (724595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.39 % (724595)CaDiCaL version: 2.1.3
% 4.22/1.39 % (724595)Termination reason: Refutation
% 4.22/1.39 % (724595)Time elapsed: 0.073 s
% 4.22/1.39 % (724595)Peak memory usage: 91 MB
% 4.22/1.39 % (724595)Instructions burned: 106 (million)
% 4.22/1.39 % (724595)------------------------------
% 4.22/1.39 % (724595)------------------------------
% 4.22/1.39 % (724585)Success in time 0.514 s
% 4.22/1.39 % Vampire exiting
%------------------------------------------------------------------------------