%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV463+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 : n019.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 01:15:52 PM UTC 2026
% Result : Theorem 1.39s 1.76s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 119 ( 38 unt; 12 def)
% Number of atoms : 979 ( 352 equ)
% Maximal formula atoms : 94 ( 8 avg)
% Number of connectives : 1386 ( 526 ~; 420 |; 353 &)
% ( 12 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-2 aty)
% Number of variables : 385 ( 0 sgn 355 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f15,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
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] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5))) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = nbr_proc
& host(X5) = host(X7)
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Ack(X5,X7),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X7) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X4) = host(X3) )
=> ! [X8] :
( host(X2) != host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( setIn(X11,alive)
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Ldr(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X8,alive)
& index(ldr,host(X8)) = host(X8)
& index(status,host(X8)) = norm ) ) ) ) ) ) ) ) ) ),
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] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5))) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = nbr_proc
& host(X5) = host(X7)
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Ack(X5,X7),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X7) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X4) = host(X3) )
=> ! [X8] :
( host(X2) != host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( setIn(X11,alive)
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Ldr(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X8,alive)
& index(ldr,host(X8)) = host(X8)
& index(status,host(X8)) = norm ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,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] :
( elem(m_Halt(X9),queue(host(X8)))
=> ~ leq(host(X8),host(X9)) )
& ! [X10,X11,X12] :
( elem(m_Ack(X12,X10),queue(host(X11)))
=> ~ leq(host(X10),host(X12)) )
& ! [X13,X14] :
( ( X13 != X14
& host(X13) = host(X14) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X14,alive) ) )
& ! [X15,X16] :
( ( setIn(X16,alive)
& elem(m_Ack(X16,X15),queue(host(X16))) )
=> leq(host(X15),index(pendack,host(X16))) )
& ! [X17,X18] :
( ( setIn(X18,alive)
& elec_1 = index(status,host(X18)) )
=> ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X19] :
( ( ( elec_1 = index(status,host(X19))
| elec_2 = index(status,host(X19)) )
& setIn(X19,alive) )
=> index(elid,host(X19)) = X19 )
& ! [X20,X21,X22] :
( ( setIn(X22,alive)
& elem(m_Down(X21),queue(host(X22)))
& host(X20) = host(X21) )
=> ~ ( setIn(X20,alive)
& host(X20) = index(ldr,host(X20))
& norm = index(status,host(X20)) ) )
& ! [X23,X24] :
( ( ~ leq(host(X23),host(X24))
& setIn(X23,alive)
& setIn(X24,alive)
& elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X24)) )
=> leq(index(pendack,host(X24)),host(X23)) )
& ! [X25,X26,X27] :
( ( setIn(X25,alive)
& setIn(X27,alive)
& host(X27) = host(X26)
& elec_2 = index(status,host(X25))
& elec_2 = index(status,host(X27)) )
=> ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [X28,X29] :
( ( ~ leq(host(X28),host(X29))
& setIn(X28,alive)
& setIn(X29,alive)
& elec_2 = index(status,host(X28))
& elec_2 = index(status,host(X29)) )
=> ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X30,X31,X32] :
( ( ~ leq(index(pendack,host(X32)),host(X30))
& setIn(X32,alive)
& elem(m_Halt(X32),queue(host(X31)))
& elec_2 = index(status,host(X32)) )
=> ~ ( setIn(X30,alive)
& host(X30) = index(ldr,host(X30))
& norm = index(status,host(X30)) ) )
& ! [X33,X34,X35,X36] :
( ( ! [X37] :
( ( ~ leq(host(X36),X37)
& leq(s(zero),X37) )
=> ( setIn(X37,index(down,host(X36)))
| host(X35) = X37 ) )
& elem(m_Down(X35),queue(host(X36)))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elec_1 = index(status,host(X36)) )
=> ~ ( setIn(X33,alive)
& elem(m_Down(X34),queue(host(X33))) ) )
& ! [X38,X39,X40,X41] :
( ( setIn(X41,alive)
& elem(m_Down(X40),queue(host(X41)))
& elem(m_Ack(X41,X39),queue(host(X41)))
& leq(nbr_proc,s(index(pendack,host(X41))))
& elec_2 = index(status,host(X41))
& index(pendack,host(X41)) = host(X39)
& s(index(pendack,host(X41))) = host(X40) )
=> ~ ( setIn(X38,alive)
& host(X38) = index(ldr,host(X38))
& norm = index(status,host(X38)) ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X42] :
( ( setIn(host(X42),index(acks,host(X2)))
| host(X3) = host(X42) )
=> ! [X43] :
( host(X2) != host(X43)
=> ! [X44,X45,X46] :
( host(X42) = host(X46)
=> ( host(X2) != host(X46)
=> ( ( setIn(X46,alive)
& leq(nbr_proc,s(index(pendack,host(X46))))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elec_2 = index(status,host(X46))
& index(pendack,host(X46)) = host(X44)
& s(index(pendack,host(X46))) = host(X45) )
=> ~ ( setIn(X43,alive)
& host(X43) = index(ldr,host(X43))
& norm = index(status,host(X43)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X1,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X43) = index(ldr,host(X43))
& norm = index(status,host(X43))
& setIn(X46,alive)
& leq(nbr_proc,s(index(pendack,host(X46))))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elec_2 = index(status,host(X46))
& index(pendack,host(X46)) = host(X44)
& s(index(pendack,host(X46))) = host(X45)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) != host(X43) )
& ( setIn(host(X42),index(acks,host(X2)))
| host(X3) = host(X42) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& 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] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Halt(X9),queue(host(X8))) )
& ! [X10,X11,X12] :
( ~ leq(host(X10),host(X12))
| ~ elem(m_Ack(X12,X10),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X13) != host(X14) )
& ! [X15,X16] :
( leq(host(X15),index(pendack,host(X16)))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16))) )
& ! [X17,X18] :
( ~ elem(m_Ack(X18,X17),queue(host(X18)))
| ~ setIn(X18,alive)
| elec_1 != index(status,host(X18)) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ( elec_1 != index(status,host(X19))
& elec_2 != index(status,host(X19)) )
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| leq(host(X23),host(X24))
| ~ setIn(X23,alive)
| ~ setIn(X24,alive)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X26)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X32)),host(X30))
| ~ setIn(X32,alive)
| ~ elem(m_Halt(X32),queue(host(X31)))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35,X36] :
( ~ setIn(X33,alive)
| ~ elem(m_Down(X34),queue(host(X33)))
| ? [X37] :
( ~ setIn(X37,index(down,host(X36)))
& host(X35) != X37
& ~ leq(host(X36),X37)
& leq(s(zero),X37) )
| ~ elem(m_Down(X35),queue(host(X36)))
| nbr_proc != host(X36)
| host(X36) != host(X34)
| elec_1 != index(status,host(X36)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39)
| s(index(pendack,host(X41))) != host(X40) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X1,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X43) = index(ldr,host(X43))
& norm = index(status,host(X43))
& setIn(X46,alive)
& leq(nbr_proc,s(index(pendack,host(X46))))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elec_2 = index(status,host(X46))
& index(pendack,host(X46)) = host(X44)
& s(index(pendack,host(X46))) = host(X45)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) != host(X43) )
& ( setIn(host(X42),index(acks,host(X2)))
| host(X3) = host(X42) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& 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] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Halt(X9),queue(host(X8))) )
& ! [X10,X11,X12] :
( ~ leq(host(X10),host(X12))
| ~ elem(m_Ack(X12,X10),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X13) != host(X14) )
& ! [X15,X16] :
( leq(host(X15),index(pendack,host(X16)))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16))) )
& ! [X17,X18] :
( ~ elem(m_Ack(X18,X17),queue(host(X18)))
| ~ setIn(X18,alive)
| elec_1 != index(status,host(X18)) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ( elec_1 != index(status,host(X19))
& elec_2 != index(status,host(X19)) )
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| leq(host(X23),host(X24))
| ~ setIn(X23,alive)
| ~ setIn(X24,alive)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X26)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X32)),host(X30))
| ~ setIn(X32,alive)
| ~ elem(m_Halt(X32),queue(host(X31)))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35,X36] :
( ~ setIn(X33,alive)
| ~ elem(m_Down(X34),queue(host(X33)))
| ? [X37] :
( ~ setIn(X37,index(down,host(X36)))
& host(X35) != X37
& ~ leq(host(X36),X37)
& leq(s(zero),X37) )
| ~ elem(m_Down(X35),queue(host(X36)))
| nbr_proc != host(X36)
| host(X36) != host(X34)
| elec_1 != index(status,host(X36)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39)
| s(index(pendack,host(X41))) != host(X40) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(flattening,[],[f70]) ).
fof(f78,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( setIn(X5,alive)
& host(X5) = index(ldr,host(X5))
& norm = index(status,host(X5))
& setIn(X8,alive)
& leq(nbr_proc,s(index(pendack,host(X8))))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(X2)))
& elec_2 = index(status,host(X8))
& host(X6) = index(pendack,host(X8))
& host(X7) = s(index(pendack,host(X8)))
& host(X2) != host(X8)
& host(X4) = host(X8) )
& host(X2) != host(X5) )
& ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,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] :
( ~ leq(host(X13),host(X14))
| ~ elem(m_Halt(X14),queue(host(X13))) )
& ! [X15,X16,X17] :
( ~ leq(host(X15),host(X17))
| ~ elem(m_Ack(X17,X15),queue(host(X16))) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| X18 = X19
| host(X18) != host(X19) )
& ! [X20,X21] :
( leq(host(X20),index(pendack,host(X21)))
| ~ setIn(X21,alive)
| ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X22,X23] :
( ~ elem(m_Ack(X23,X22),queue(host(X23)))
| ~ setIn(X23,alive)
| elec_1 != index(status,host(X23)) )
& ! [X24] :
( index(elid,host(X24)) = X24
| ( elec_1 != index(status,host(X24))
& elec_2 != index(status,host(X24)) )
| ~ setIn(X24,alive) )
& ! [X25,X26,X27] :
( ~ setIn(X25,alive)
| host(X25) != index(ldr,host(X25))
| norm != index(status,host(X25))
| ~ setIn(X27,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| host(X26) != host(X25) )
& ! [X28,X29] :
( leq(index(pendack,host(X29)),host(X28))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ elem(m_Ack(X30,X31),queue(host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X32) != host(X31)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34] :
( ~ leq(index(pendack,host(X33)),index(pendack,host(X34)))
| leq(host(X33),host(X34))
| ~ setIn(X33,alive)
| ~ setIn(X34,alive)
| elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X34)) )
& ! [X35,X36,X37] :
( ~ setIn(X35,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| leq(index(pendack,host(X37)),host(X35))
| ~ setIn(X37,alive)
| ~ elem(m_Halt(X37),queue(host(X36)))
| elec_2 != index(status,host(X37)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| ~ elem(m_Down(X39),queue(host(X38)))
| ? [X42] :
( ~ setIn(X42,index(down,host(X41)))
& host(X40) != X42
& ~ leq(host(X41),X42)
& leq(s(zero),X42) )
| ~ elem(m_Down(X40),queue(host(X41)))
| nbr_proc != host(X41)
| host(X41) != host(X39)
| elec_1 != index(status,host(X41)) )
& ! [X43,X44,X45,X46] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| elec_2 != index(status,host(X46))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(rectify,[],[f71]) ).
fof(f79,plain,
( setIn(sK5,alive)
& host(sK5) = index(ldr,host(sK5))
& norm = index(status,host(sK5))
& setIn(sK8,alive)
& leq(nbr_proc,s(index(pendack,host(sK8))))
& elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2)))
& elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Ldr(sK2)))
& elec_2 = index(status,host(sK8))
& index(pendack,host(sK8)) = host(sK6)
& s(index(pendack,host(sK8))) = host(sK7)
& host(sK8) != host(sK2)
& host(sK8) = host(sK4)
& host(sK5) != host(sK2)
& ( setIn(host(sK4),index(acks,host(sK2)))
| host(sK4) = host(sK3) )
& leq(nbr_proc,index(pendack,host(sK2)))
& sK1 = index(elid,host(sK2))
& elec_2 = index(status,host(sK2))
& host(sK3) = index(pendack,host(sK2))
& setIn(sK2,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] :
( ~ leq(host(X13),host(X14))
| ~ elem(m_Halt(X14),queue(host(X13))) )
& ! [X15,X16,X17] :
( ~ leq(host(X15),host(X17))
| ~ elem(m_Ack(X17,X15),queue(host(X16))) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| X18 = X19
| host(X18) != host(X19) )
& ! [X20,X21] :
( leq(host(X20),index(pendack,host(X21)))
| ~ setIn(X21,alive)
| ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X22,X23] :
( ~ elem(m_Ack(X23,X22),queue(host(X23)))
| ~ setIn(X23,alive)
| elec_1 != index(status,host(X23)) )
& ! [X24] :
( index(elid,host(X24)) = X24
| ( elec_1 != index(status,host(X24))
& elec_2 != index(status,host(X24)) )
| ~ setIn(X24,alive) )
& ! [X25,X26,X27] :
( ~ setIn(X25,alive)
| host(X25) != index(ldr,host(X25))
| norm != index(status,host(X25))
| ~ setIn(X27,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| host(X26) != host(X25) )
& ! [X28,X29] :
( leq(index(pendack,host(X29)),host(X28))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ elem(m_Ack(X30,X31),queue(host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X32) != host(X31)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34] :
( ~ leq(index(pendack,host(X33)),index(pendack,host(X34)))
| leq(host(X33),host(X34))
| ~ setIn(X33,alive)
| ~ setIn(X34,alive)
| elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X34)) )
& ! [X35,X36,X37] :
( ~ setIn(X35,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| leq(index(pendack,host(X37)),host(X35))
| ~ setIn(X37,alive)
| ~ elem(m_Halt(X37),queue(host(X36)))
| elec_2 != index(status,host(X37)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| ~ elem(m_Down(X39),queue(host(X38)))
| ( ~ setIn(sK9(X40,X41),index(down,host(X41)))
& host(X40) != sK9(X40,X41)
& ~ leq(host(X41),sK9(X40,X41))
& leq(s(zero),sK9(X40,X41)) )
| ~ elem(m_Down(X40),queue(host(X41)))
| nbr_proc != host(X41)
| host(X41) != host(X39)
| elec_1 != index(status,host(X41)) )
& ! [X43,X44,X45,X46] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| elec_2 != index(status,host(X46))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) )
& queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X42,sK9(X40,X41))],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f80]) ).
fof(f84,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f85,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f84]) ).
fof(f93,plain,
! [X46,X44,X45,X43] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| elec_2 != index(status,host(X46))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) ),
inference(cnf_transformation,[],[f79]) ).
fof(f113,plain,
host(sK3) = index(pendack,host(sK2)),
inference(cnf_transformation,[],[f79]) ).
fof(f116,plain,
leq(nbr_proc,index(pendack,host(sK2))),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
s(index(pendack,host(sK8))) = host(sK7),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
index(pendack,host(sK8)) = host(sK6),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
elec_2 = index(status,host(sK8)),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Ldr(sK2))),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2))),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
leq(nbr_proc,s(index(pendack,host(sK8)))),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f128,plain,
norm = index(status,host(sK5)),
inference(cnf_transformation,[],[f79]) ).
fof(f129,plain,
host(sK5) = index(ldr,host(sK5)),
inference(cnf_transformation,[],[f79]) ).
fof(f130,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f144,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f146,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f158,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f19]) ).
fof(f171,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f15]) ).
fof(f209,definition,
~ sP32(norm),
introduced(definition,[new_symbols(definition,[sP32])],[inequality_splitting_name_introduction]) ).
fof(f210,definition,
~ sP33(elec_2),
introduced(definition,[new_symbols(definition,[sP33])],[inequality_splitting_name_introduction]) ).
fof(f211,plain,
! [X46,X44,X45,X43] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| sP32(index(status,host(X43)))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| sP33(index(status,host(X46)))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) ),
inference(inequality_splitting,[],[f93,f210,f209]) ).
fof(f221,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f146]) ).
fof(f249,plain,
! [X43] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| sP32(index(status,host(X43)))
| sP48 ),
inference(cnf_transformation,[],[f249_D]) ).
fof(f249_D,definition,
( ! [X43] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| sP32(index(status,host(X43))) )
<=> ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[general_splitting_component_introduction]) ).
fof(f250,plain,
! [X46,X44,X45] :
( ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| sP33(index(status,host(X46)))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45)
| ~ sP48 ),
inference(general_splitting,[],[f211,f249_D]) ).
fof(f251,plain,
! [X46,X44] :
( index(pendack,host(X46)) != host(X44)
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| sP49(X46) ),
inference(cnf_transformation,[],[f251_D]) ).
fof(f251_D,definition,
! [X46] :
( ! [X44] :
( index(pendack,host(X46)) != host(X44)
| ~ elem(m_Ack(X46,X44),queue(host(X46))) )
<=> ~ sP49(X46) ),
introduced(definition,[new_symbols(definition,[sP49])],[general_splitting_component_introduction]) ).
fof(f252,plain,
! [X46,X45] :
( ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| sP33(index(status,host(X46)))
| s(index(pendack,host(X46))) != host(X45)
| ~ sP48
| ~ sP49(X46) ),
inference(general_splitting,[],[f250,f251_D]) ).
fof(f255,definition,
( spl50_1
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
fof(f259,definition,
( spl50_2
<=> ! [X43] :
( ~ setIn(X43,alive)
| sP32(index(status,host(X43)))
| host(X43) != index(ldr,host(X43)) ) ),
introduced(definition,[new_symbols(definition,[spl50_2])],[avatar_definition]) ).
fof(f260,plain,
( ! [X43] :
( host(X43) != index(ldr,host(X43))
| sP32(index(status,host(X43)))
| ~ setIn(X43,alive) )
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl50_1
| spl50_2 ),
inference(avatar_split_clause,[],[f249,f259,f255]) ).
fof(f263,definition,
( spl50_3
<=> ! [X45,X46] :
( ~ setIn(X46,alive)
| ~ sP49(X46)
| s(index(pendack,host(X46))) != host(X45)
| sP33(index(status,host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| ~ elem(m_Down(X45),queue(host(X46))) ) ),
introduced(definition,[new_symbols(definition,[spl50_3])],[avatar_definition]) ).
fof(f264,plain,
( ! [X46,X45] :
( ~ setIn(X46,alive)
| ~ sP49(X46)
| s(index(pendack,host(X46))) != host(X45)
| sP33(index(status,host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| ~ elem(m_Down(X45),queue(host(X46))) )
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ spl50_1
| spl50_3 ),
inference(avatar_split_clause,[],[f252,f263,f255]) ).
fof(f281,plain,
( ~ leq(index(pendack,host(sK2)),nbr_proc)
| nbr_proc = index(pendack,host(sK2)) ),
inference(resolution,[],[f116,f144]) ).
fof(f284,definition,
( spl50_6
<=> nbr_proc = index(pendack,host(sK2)) ),
introduced(definition,[new_symbols(definition,[spl50_6])],[avatar_definition]) ).
fof(f286,plain,
( nbr_proc = index(pendack,host(sK2))
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl50_7
<=> leq(index(pendack,host(sK2)),nbr_proc) ),
introduced(definition,[new_symbols(definition,[spl50_7])],[avatar_definition]) ).
fof(f290,plain,
( ~ leq(index(pendack,host(sK2)),nbr_proc)
| spl50_7 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( spl50_6
| ~ spl50_7 ),
inference(avatar_split_clause,[],[f281,f288,f284]) ).
fof(f293,plain,
leq(index(pendack,host(sK2)),nbr_proc),
inference(superposition,[],[f158,f113]) ).
fof(f297,plain,
( $false
| spl50_7 ),
inference(forward_subsumption_resolution,[],[f293,f290]) ).
fof(f298,plain,
spl50_7,
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f303,plain,
( ! [X0] : leq(host(X0),index(pendack,host(sK2)))
| ~ spl50_6 ),
inference(superposition,[],[f158,f286]) ).
fof(f320,plain,
( ~ leq(s(index(pendack,host(sK8))),nbr_proc)
| nbr_proc = s(index(pendack,host(sK8))) ),
inference(resolution,[],[f126,f144]) ).
fof(f325,plain,
( ~ leq(s(index(pendack,host(sK8))),index(pendack,host(sK2)))
| nbr_proc = s(index(pendack,host(sK8)))
| ~ spl50_6 ),
inference(forward_demodulation,[],[f320,f286]) ).
fof(f349,plain,
( s(index(pendack,host(sK8))) = index(pendack,host(sK2))
| ~ leq(s(index(pendack,host(sK8))),index(pendack,host(sK2)))
| ~ spl50_6 ),
inference(forward_demodulation,[],[f325,f286]) ).
fof(f352,definition,
( spl50_11
<=> leq(s(index(pendack,host(sK8))),index(pendack,host(sK2))) ),
introduced(definition,[new_symbols(definition,[spl50_11])],[avatar_definition]) ).
fof(f354,plain,
( ~ leq(s(index(pendack,host(sK8))),index(pendack,host(sK2)))
| spl50_11 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl50_12
<=> s(index(pendack,host(sK8))) = index(pendack,host(sK2)) ),
introduced(definition,[new_symbols(definition,[spl50_12])],[avatar_definition]) ).
fof(f358,plain,
( s(index(pendack,host(sK8))) = index(pendack,host(sK2))
| ~ spl50_12 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,plain,
( ~ spl50_11
| spl50_12
| ~ spl50_6 ),
inference(avatar_split_clause,[],[f349,f284,f356,f352]) ).
fof(f408,plain,
( leq(s(index(pendack,host(sK8))),index(pendack,host(sK2)))
| ~ spl50_6 ),
inference(superposition,[],[f303,f121]) ).
fof(f418,plain,
( elem(m_Down(sK7),queue(host(sK8)))
| m_Down(sK7) = m_Ldr(sK2) ),
inference(resolution,[],[f125,f135]) ).
fof(f419,plain,
elem(m_Down(sK7),queue(host(sK8))),
inference(forward_subsumption_resolution,[],[f418,f170]) ).
fof(f420,plain,
( elem(m_Ack(sK8,sK6),queue(host(sK8)))
| m_Ldr(sK2) = m_Ack(sK8,sK6) ),
inference(resolution,[],[f124,f135]) ).
fof(f421,plain,
elem(m_Ack(sK8,sK6),queue(host(sK8))),
inference(forward_subsumption_resolution,[],[f420,f171]) ).
fof(f585,plain,
( $false
| ~ spl50_6
| spl50_11 ),
inference(forward_subsumption_resolution,[],[f408,f354]) ).
fof(f586,plain,
( ~ spl50_6
| spl50_11 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f688,plain,
( host(sK5) != host(sK5)
| sP32(index(status,host(sK5)))
| ~ setIn(sK5,alive)
| ~ spl50_2 ),
inference(superposition,[],[f260,f129]) ).
fof(f689,plain,
( sP32(index(status,host(sK5)))
| ~ setIn(sK5,alive)
| ~ spl50_2 ),
inference(trivial_inequality_removal,[],[f688]) ).
fof(f690,plain,
( sP32(index(status,host(sK5)))
| ~ spl50_2 ),
inference(forward_subsumption_resolution,[],[f689,f130]) ).
fof(f691,plain,
( sP32(norm)
| ~ spl50_2 ),
inference(forward_demodulation,[],[f690,f128]) ).
fof(f692,plain,
( $false
| ~ spl50_2 ),
inference(forward_subsumption_resolution,[],[f691,f209]) ).
fof(f693,plain,
~ spl50_2,
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f694,plain,
( ! [X46,X45] :
( s(index(pendack,host(X46))) != host(X45)
| ~ setIn(X46,alive)
| ~ sP49(X46)
| ~ leq(index(pendack,host(sK2)),s(index(pendack,host(X46))))
| sP33(index(status,host(X46)))
| ~ elem(m_Down(X45),queue(host(X46))) )
| ~ spl50_3
| ~ spl50_6 ),
inference(forward_demodulation,[],[f264,f286]) ).
fof(f739,plain,
! [X0] :
( index(pendack,host(sK8)) != index(pendack,host(X0))
| ~ elem(m_Ack(X0,sK6),queue(host(X0)))
| sP49(X0) ),
inference(superposition,[],[f251,f122]) ).
fof(f1173,plain,
( ! [X0] :
( s(index(pendack,host(sK8))) != s(index(pendack,host(X0)))
| ~ setIn(X0,alive)
| ~ sP49(X0)
| ~ leq(index(pendack,host(sK2)),s(index(pendack,host(X0))))
| sP33(index(status,host(X0)))
| ~ elem(m_Down(sK7),queue(host(X0))) )
| ~ spl50_3
| ~ spl50_6 ),
inference(superposition,[],[f694,f121]) ).
fof(f1174,plain,
( ! [X0] :
( index(pendack,host(sK2)) != s(index(pendack,host(X0)))
| ~ setIn(X0,alive)
| ~ sP49(X0)
| ~ leq(index(pendack,host(sK2)),s(index(pendack,host(X0))))
| sP33(index(status,host(X0)))
| ~ elem(m_Down(sK7),queue(host(X0))) )
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12 ),
inference(forward_demodulation,[],[f1173,f358]) ).
fof(f1310,definition,
( spl50_135
<=> sP49(sK8) ),
introduced(definition,[new_symbols(definition,[spl50_135])],[avatar_definition]) ).
fof(f1311,plain,
( sP49(sK8)
| ~ spl50_135 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1312,plain,
( ~ sP49(sK8)
| spl50_135 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1979,plain,
( ~ elem(m_Ack(sK8,sK6),queue(host(sK8)))
| sP49(sK8) ),
inference(equality_resolution,[],[f739]) ).
fof(f1981,plain,
sP49(sK8),
inference(forward_subsumption_resolution,[],[f1979,f421]) ).
fof(f1982,plain,
( $false
| spl50_135 ),
inference(forward_subsumption_resolution,[],[f1981,f1312]) ).
fof(f1983,plain,
spl50_135,
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f2111,plain,
( index(pendack,host(sK2)) != index(pendack,host(sK2))
| ~ setIn(sK8,alive)
| ~ sP49(sK8)
| ~ leq(index(pendack,host(sK2)),index(pendack,host(sK2)))
| sP33(index(status,host(sK8)))
| ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12 ),
inference(superposition,[],[f1174,f358]) ).
fof(f2112,plain,
( ~ setIn(sK8,alive)
| ~ sP49(sK8)
| ~ leq(index(pendack,host(sK2)),index(pendack,host(sK2)))
| sP33(index(status,host(sK8)))
| ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12 ),
inference(trivial_inequality_removal,[],[f2111]) ).
fof(f2113,plain,
( ~ sP49(sK8)
| ~ leq(index(pendack,host(sK2)),index(pendack,host(sK2)))
| sP33(index(status,host(sK8)))
| ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12 ),
inference(forward_subsumption_resolution,[],[f2112,f127]) ).
fof(f2114,plain,
( ~ leq(index(pendack,host(sK2)),index(pendack,host(sK2)))
| sP33(index(status,host(sK8)))
| ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(forward_subsumption_resolution,[],[f2113,f1311]) ).
fof(f2115,plain,
( sP33(index(status,host(sK8)))
| ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(forward_subsumption_resolution,[],[f2114,f221]) ).
fof(f2116,plain,
( sP33(index(status,host(sK8)))
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(forward_subsumption_resolution,[],[f2115,f419]) ).
fof(f2117,plain,
( sP33(elec_2)
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(forward_demodulation,[],[f2116,f123]) ).
fof(f2118,plain,
( $false
| ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(forward_subsumption_resolution,[],[f2117,f210]) ).
fof(f2119,plain,
( ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
cnf(s1,plain,
( spl50_1
| spl50_2 ),
inference(sat_conversion,[],[f261]) ).
cnf(s2,plain,
( ~ spl50_1
| spl50_3 ),
inference(sat_conversion,[],[f265]) ).
cnf(s4,plain,
( spl50_6
| ~ spl50_7 ),
inference(sat_conversion,[],[f291]) ).
cnf(s5,plain,
spl50_7,
inference(sat_conversion,[],[f298]) ).
cnf(s8,plain,
( ~ spl50_6
| ~ spl50_11
| spl50_12 ),
inference(sat_conversion,[],[f359]) ).
cnf(s21,plain,
( ~ spl50_6
| spl50_11 ),
inference(sat_conversion,[],[f586]) ).
cnf(s32,plain,
~ spl50_2,
inference(sat_conversion,[],[f693]) ).
cnf(s116,plain,
spl50_135,
inference(sat_conversion,[],[f1983]) ).
cnf(s117,plain,
( ~ spl50_3
| ~ spl50_6
| ~ spl50_12
| ~ spl50_135 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s125,plain,
spl50_6,
inference(rat,[],[s4,s5]) ).
cnf(s126,plain,
spl50_11,
inference(rat,[],[s21,s125]) ).
cnf(s127,plain,
spl50_12,
inference(rat,[],[s8,s125,s126]) ).
cnf(s134,plain,
~ spl50_3,
inference(rat,[],[s117,s116,s125,s127]) ).
cnf(s135,plain,
~ spl50_1,
inference(rat,[],[s2,s134]) ).
cnf(s136,plain,
$false,
inference(rat,[],[s1,s32,s135]) ).
fof(f2120,plain,
$false,
inference(avatar_sat_refutation,[],[s136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV463+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n019.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 11:09:18 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 1.39/1.76 % (3940563)Detected formulas, will run a generic FOF schedule.
% 1.39/1.76 % (3940569)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=3066522522:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.39/1.76 % (3940572)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1415703849:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.39/1.76 % (3940568)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=944342280:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.39/1.76 % (3940571)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1823875999:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.39/1.76 % (3940570)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=474598170:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.39/1.76 % (3940573)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2426693978:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.39/1.76 % (3940574)dis-21_1_sil=8000:lcm=predicate:random_seed=855267499: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)
% 1.39/1.76 % (3940571)First to succeed.
% 1.39/1.76 % (3940571)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3940563"
% 1.39/1.76 % (3940572)Also succeeded, but the first one will report.
% 1.39/1.76 % (3940573)Also succeeded, but the first one will report.
% 1.39/1.76 % (3940574)Instruction limit reached!
% 1.39/1.76 % (3940574)------------------------------
% 1.39/1.76 % (3940574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.39/1.76 % (3940574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/1.76 % (3940574)CaDiCaL version: 2.1.3
% 1.39/1.76 % (3940574)Termination reason: Instruction limit
% 1.39/1.76 % (3940574)Termination phase: Saturation
% 1.39/1.76 % (3940574)Time elapsed: 0.134 s
% 1.39/1.76 % (3940574)Peak memory usage: 89 MB
% 1.39/1.76 % (3940574)Instructions burned: 129 (million)
% 1.39/1.76 % (3940582)lrs+10_1_sil=8000:sp=occurrence:random_seed=695889003:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 1.39/1.76 % (3940571)Refutation found. Thanks to Tanya!
% 1.39/1.76 % SZS status Theorem for theBenchmark
% 1.39/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/2.04 % (3940571)------------------------------
% 6.23/2.04 % (3940571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.04 % (3940571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.04 % (3940571)CaDiCaL version: 2.1.3
% 6.23/2.04 % (3940571)Termination reason: Refutation
% 6.23/2.04 % (3940571)Time elapsed: 0.073 s
% 6.23/2.04 % (3940571)Peak memory usage: 90 MB
% 6.23/2.04 % (3940571)Instructions burned: 66 (million)
% 6.23/2.04 % (3940571)------------------------------
% 6.23/2.04 % (3940571)------------------------------
% 6.23/2.04 % (3940563)Success in time 0.752 s
% 6.23/2.04 % Vampire exiting
%------------------------------------------------------------------------------