%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV466+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 01:15:53 PM UTC 2026
% Result : Theorem 3.50s 1.16s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 117 ( 40 unt; 4 def)
% Number of atoms : 914 ( 358 equ)
% Maximal formula atoms : 92 ( 7 avg)
% Number of connectives : 1260 ( 463 ~; 360 |; 351 &)
% ( 8 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 20 con; 0-2 aty)
% Number of variables : 383 ( 2 sgn 356 !; 27 ?)
% 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(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(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(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] :
( 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_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)
=> ( ( 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)
& 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] :
( 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_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)
=> ( ( 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)
& 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] :
( 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_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)))
=> ! [X42] :
( setIn(host(X42),index(acks,host(X2)))
=> ! [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(X2) = host(X43) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X2) = 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))) )
& 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] :
( ~ 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_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X2) = 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))) )
& 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] :
( ~ 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_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(f94,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(f95,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,[],[f94]) ).
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)
& setIn(X7,alive)
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X1)))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(X1)))
& elec_2 = index(status,host(X7))
& host(X5) = index(pendack,host(X7))
& host(X6) = s(index(pendack,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)
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Ldr(X9),queue(host(X8))) )
& ! [X10,X11] :
( host(X11) != host(X10)
| ~ elem(m_Down(X11),queue(host(X10))) )
& ! [X12,X13] :
( ~ leq(host(X12),host(X13))
| ~ elem(m_Halt(X13),queue(host(X12))) )
& ! [X14,X15,X16] :
( ~ leq(host(X14),host(X16))
| ~ elem(m_Ack(X16,X14),queue(host(X15))) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X18) != host(X17) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ( elec_1 != index(status,host(X23))
& elec_2 != index(status,host(X23)) )
| ~ setIn(X23,alive) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| leq(host(X27),host(X28))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Ack(X29,X30),queue(host(X29)))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| host(X30) != host(X31)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X38),queue(host(X37)))
| ? [X41] :
( ~ setIn(X41,index(down,host(X40)))
& host(X39) != X41
& ~ leq(host(X40),X41)
& leq(s(zero),X41) )
| ~ elem(m_Down(X39),queue(host(X40)))
| nbr_proc != host(X40)
| host(X40) != host(X38)
| elec_1 != index(status,host(X40)) )
& ! [X42,X43,X44,X45] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ~ setIn(X45,alive)
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| elec_2 != index(status,host(X45))
| host(X43) != index(pendack,host(X45))
| host(X44) != s(index(pendack,host(X45))) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK7,alive)
& host(sK4) = host(sK7)
& setIn(sK10,alive)
& leq(nbr_proc,s(index(pendack,host(sK10))))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elec_2 = index(status,host(sK10))
& index(pendack,host(sK10)) = host(sK8)
& s(index(pendack,host(sK10))) = host(sK9)
& 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)
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Ldr(X9),queue(host(X8))) )
& ! [X10,X11] :
( host(X11) != host(X10)
| ~ elem(m_Down(X11),queue(host(X10))) )
& ! [X12,X13] :
( ~ leq(host(X12),host(X13))
| ~ elem(m_Halt(X13),queue(host(X12))) )
& ! [X14,X15,X16] :
( ~ leq(host(X14),host(X16))
| ~ elem(m_Ack(X16,X14),queue(host(X15))) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X18) != host(X17) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ( elec_1 != index(status,host(X23))
& elec_2 != index(status,host(X23)) )
| ~ setIn(X23,alive) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| leq(host(X27),host(X28))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Ack(X29,X30),queue(host(X29)))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| host(X30) != host(X31)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X38),queue(host(X37)))
| ( ~ setIn(sK11(X39,X40),index(down,host(X40)))
& host(X39) != sK11(X39,X40)
& ~ leq(host(X40),sK11(X39,X40))
& leq(s(zero),sK11(X39,X40)) )
| ~ elem(m_Down(X39),queue(host(X40)))
| nbr_proc != host(X40)
| host(X40) != host(X38)
| elec_1 != index(status,host(X40)) )
& ! [X42,X43,X44,X45] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ~ setIn(X45,alive)
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| elec_2 != index(status,host(X45))
| host(X43) != index(pendack,host(X45))
| host(X44) != s(index(pendack,host(X45))) )
& queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),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(X41,sK11(X39,X40))],[f112]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f15]) ).
fof(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f95]) ).
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(f217,plain,
! [X32,X33] :
( ~ setIn(X32,alive)
| leq(host(X32),host(X33))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f218,plain,
! [X31,X29,X30] :
( ~ elem(m_Ack(X29,X30),queue(host(X29)))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| host(X30) != host(X31)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X31)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
! [X28,X27] :
( ~ setIn(X27,alive)
| leq(host(X27),host(X28))
| leq(index(pendack,host(X28)),host(X27))
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X28)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X10,X11] :
( ~ elem(m_Down(X11),queue(host(X10)))
| host(X11) != host(X10) ),
inference(cnf_transformation,[],[f113]) ).
fof(f230,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
s(index(pendack,host(sK10))) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
elec_2 = index(status,host(sK10)),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f254,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f268,plain,
leq(nbr_proc,host(sK5)),
inference(superposition,[],[f234,f232]) ).
fof(f270,plain,
leq(nbr_proc,s(host(sK8))),
inference(forward_demodulation,[],[f244,f240]) ).
fof(f271,plain,
host(sK9) = s(host(sK8)),
inference(forward_demodulation,[],[f239,f240]) ).
fof(f272,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[],[f270,f271]) ).
fof(f361,plain,
! [X0] :
( leq(host(sK4),host(X0))
| leq(index(pendack,host(X0)),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(sK4))
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f219,f230]) ).
fof(f368,plain,
! [X0] :
( leq(host(sK4),host(X0))
| leq(index(pendack,host(X0)),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f361,f233]) ).
fof(f377,plain,
! [X0] :
( leq(host(sK10),host(X0))
| ~ leq(index(pendack,host(sK10)),index(pendack,host(X0)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(sK10))
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f217,f245]) ).
fof(f382,plain,
! [X0] :
( leq(host(sK10),host(X0))
| ~ leq(index(pendack,host(sK10)),index(pendack,host(X0)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f377,f241]) ).
fof(f385,plain,
! [X0] :
( leq(host(sK10),host(X0))
| ~ leq(host(sK8),index(pendack,host(X0)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ),
inference(forward_demodulation,[],[f382,f240]) ).
fof(f424,definition,
( spl12_13
<=> leq(host(sK10),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f426,plain,
( leq(host(sK10),host(sK4))
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f434,plain,
( leq(host(sK10),host(sK4))
| ~ leq(host(sK8),index(pendack,host(sK4)))
| ~ setIn(sK7,alive)
| elec_2 != index(status,host(sK4)) ),
inference(superposition,[],[f385,f236]) ).
fof(f447,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f254,f210]) ).
fof(f448,plain,
host(sK4) != host(sK5),
inference(resolution,[],[f447,f228]) ).
fof(f513,plain,
( host(sK4) = host(sK10)
| ~ leq(host(sK4),host(sK10))
| ~ spl12_13 ),
inference(resolution,[],[f200,f426]) ).
fof(f523,plain,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc) ),
inference(resolution,[],[f200,f268]) ).
fof(f524,plain,
( nbr_proc = host(sK9)
| ~ leq(host(sK9),nbr_proc) ),
inference(resolution,[],[f200,f272]) ).
fof(f528,plain,
nbr_proc = host(sK9),
inference(forward_subsumption_resolution,[],[f524,f119]) ).
fof(f529,plain,
nbr_proc = host(sK5),
inference(forward_subsumption_resolution,[],[f523,f119]) ).
fof(f540,plain,
( ~ leq(host(sK4),host(sK10))
| ~ spl12_13 ),
inference(forward_subsumption_resolution,[],[f513,f238]) ).
fof(f598,definition,
( spl12_21
<=> nbr_proc = host(sK4) ),
introduced(definition,[new_symbols(definition,[spl12_21])],[avatar_definition]) ).
fof(f600,plain,
( nbr_proc != host(sK4)
| spl12_21 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f659,plain,
nbr_proc != host(sK4),
inference(superposition,[],[f448,f529]) ).
fof(f725,plain,
~ spl12_21,
inference(avatar_split_clause,[],[f659,f598]) ).
fof(f771,plain,
( leq(index(pendack,host(sK10)),host(sK4))
| ~ setIn(sK10,alive)
| elec_2 != index(status,host(sK10))
| ~ spl12_13 ),
inference(resolution,[],[f540,f368]) ).
fof(f775,plain,
( leq(index(pendack,host(sK10)),host(sK4))
| elec_2 != index(status,host(sK10))
| ~ spl12_13 ),
inference(forward_subsumption_resolution,[],[f771,f245]) ).
fof(f777,plain,
( leq(index(pendack,host(sK10)),host(sK4))
| ~ spl12_13 ),
inference(forward_subsumption_resolution,[],[f775,f241]) ).
fof(f779,plain,
( leq(host(sK8),host(sK4))
| ~ spl12_13 ),
inference(forward_demodulation,[],[f777,f240]) ).
fof(f801,plain,
( elem(m_Ack(sK10,sK8),queue(host(sK10)))
| m_Ldr(sK4) = m_Ack(sK10,sK8) ),
inference(resolution,[],[f169,f242]) ).
fof(f805,plain,
elem(m_Ack(sK10,sK8),queue(host(sK10))),
inference(forward_subsumption_resolution,[],[f801,f129]) ).
fof(f809,definition,
( spl12_42
<=> leq(host(sK4),host(sK8)) ),
introduced(definition,[new_symbols(definition,[spl12_42])],[avatar_definition]) ).
fof(f810,plain,
( leq(host(sK4),host(sK8))
| ~ spl12_42 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f811,plain,
( ~ leq(host(sK4),host(sK8))
| spl12_42 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl12_43
<=> host(sK4) = host(sK8) ),
introduced(definition,[new_symbols(definition,[spl12_43])],[avatar_definition]) ).
fof(f815,plain,
( host(sK4) = host(sK8)
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f969,plain,
( host(sK4) = s(host(sK8))
| ~ leq(host(sK4),s(host(sK8)))
| spl12_42 ),
inference(resolution,[],[f811,f206]) ).
fof(f974,plain,
( host(sK4) = host(sK9)
| ~ leq(host(sK4),s(host(sK8)))
| spl12_42 ),
inference(forward_demodulation,[],[f969,f271]) ).
fof(f990,plain,
( nbr_proc = host(sK4)
| ~ leq(host(sK4),s(host(sK8)))
| spl12_42 ),
inference(forward_demodulation,[],[f974,f528]) ).
fof(f998,plain,
( ~ leq(host(sK4),s(host(sK8)))
| spl12_21
| spl12_42 ),
inference(forward_subsumption_resolution,[],[f990,f600]) ).
fof(f999,plain,
( ~ leq(host(sK4),host(sK9))
| spl12_21
| spl12_42 ),
inference(forward_demodulation,[],[f998,f271]) ).
fof(f1000,plain,
( ~ leq(host(sK4),nbr_proc)
| spl12_21
| spl12_42 ),
inference(forward_demodulation,[],[f999,f528]) ).
fof(f1001,plain,
( $false
| spl12_21
| spl12_42 ),
inference(forward_subsumption_resolution,[],[f1000,f119]) ).
fof(f1002,plain,
( spl12_21
| spl12_42 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1004,plain,
( leq(host(sK10),host(sK4))
| ~ leq(host(sK8),index(pendack,host(sK4)))
| elec_2 != index(status,host(sK4)) ),
inference(forward_subsumption_resolution,[],[f434,f247]) ).
fof(f1005,plain,
( leq(host(sK10),host(sK4))
| ~ leq(host(sK8),index(pendack,host(sK4))) ),
inference(forward_subsumption_resolution,[],[f1004,f233]) ).
fof(f1006,plain,
( ~ leq(host(sK8),host(sK5))
| leq(host(sK10),host(sK4)) ),
inference(forward_demodulation,[],[f1005,f232]) ).
fof(f1007,plain,
( ~ leq(host(sK8),nbr_proc)
| leq(host(sK10),host(sK4)) ),
inference(forward_demodulation,[],[f1006,f529]) ).
fof(f1008,plain,
leq(host(sK10),host(sK4)),
inference(forward_subsumption_resolution,[],[f1007,f119]) ).
fof(f1009,plain,
spl12_13,
inference(avatar_split_clause,[],[f1008,f424]) ).
fof(f1043,plain,
! [X0] :
( ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| host(X0) != host(sK8)
| elec_2 != index(status,host(sK10))
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f805,f218]) ).
fof(f1049,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) != host(sK8)
| elec_2 != index(status,host(sK10))
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f1043,f245]) ).
fof(f1052,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) != host(sK8)
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f1049,f241]) ).
fof(f1365,plain,
( host(sK4) = host(sK8)
| ~ leq(host(sK8),host(sK4))
| ~ spl12_42 ),
inference(resolution,[],[f810,f200]) ).
fof(f1366,plain,
( host(sK4) = host(sK8)
| ~ spl12_13
| ~ spl12_42 ),
inference(forward_subsumption_resolution,[],[f1365,f779]) ).
fof(f1367,plain,
( spl12_43
| ~ spl12_13
| ~ spl12_42 ),
inference(avatar_split_clause,[],[f1366,f809,f424,f813]) ).
fof(f3411,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| host(X0) != host(sK4)
| elec_2 != index(status,host(X0)) )
| ~ spl12_43 ),
inference(forward_demodulation,[],[f1052,f815]) ).
fof(f3528,plain,
( host(sK4) != host(sK7)
| elec_2 != index(status,host(sK7))
| ~ spl12_43 ),
inference(resolution,[],[f3411,f247]) ).
fof(f3530,plain,
( elec_2 != index(status,host(sK7))
| ~ spl12_43 ),
inference(forward_subsumption_resolution,[],[f3528,f236]) ).
fof(f3533,plain,
( elec_2 != index(status,host(sK4))
| ~ spl12_43 ),
inference(forward_demodulation,[],[f3530,f236]) ).
fof(f3534,plain,
( $false
| ~ spl12_43 ),
inference(forward_subsumption_resolution,[],[f3533,f233]) ).
fof(f3535,plain,
~ spl12_43,
inference(avatar_contradiction_clause,[],[f3534]) ).
cnf(s31,plain,
~ spl12_21,
inference(sat_conversion,[],[f725]) ).
cnf(s41,plain,
( spl12_21
| spl12_42 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s42,plain,
spl12_13,
inference(sat_conversion,[],[f1009]) ).
cnf(s66,plain,
( ~ spl12_13
| ~ spl12_42
| spl12_43 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s293,plain,
~ spl12_43,
inference(sat_conversion,[],[f3535]) ).
cnf(s303,plain,
( ~ spl12_13
| ~ spl12_42 ),
inference(rat,[],[s66,s293]) ).
cnf(s310,plain,
~ spl12_42,
inference(rat,[],[s303,s42]) ).
cnf(s312,plain,
spl12_21,
inference(rat,[],[s41,s310]) ).
cnf(s317,plain,
$false,
inference(rat,[],[s31,s312]) ).
fof(f3536,plain,
$false,
inference(avatar_sat_refutation,[],[s317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 11:09:53 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 3.50/1.16 % (723438)Detected formulas, will run a generic FOF schedule.
% 3.50/1.16 % (723447)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=478571191:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.50/1.16 % (723447)Instruction limit reached!
% 3.50/1.16 % (723447)------------------------------
% 3.50/1.16 % (723447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (723447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (723447)CaDiCaL version: 2.1.3
% 3.50/1.16 % (723447)Termination reason: Instruction limit
% 3.50/1.16 % (723447)Termination phase: Saturation
% 3.50/1.16 % (723447)Time elapsed: 0.040 s
% 3.50/1.16 % (723447)Peak memory usage: 88 MB
% 3.50/1.16 % (723447)Instructions burned: 120 (million)
% 3.50/1.16 % (723448)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2477614183:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.50/1.16 % (723449)dis-21_1_sil=8000:lcm=predicate:random_seed=139530089: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)
% 3.50/1.16 % (723445)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=903776562:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.50/1.16 % (723443)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=1436970920:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.50/1.16 % (723446)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3852209576:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.50/1.16 % (723444)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=62759252:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.50/1.16 % (723446)Instruction limit reached!
% 3.50/1.16 % (723446)------------------------------
% 3.50/1.16 % (723446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (723446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (723446)CaDiCaL version: 2.1.3
% 3.50/1.16 % (723446)Termination reason: Instruction limit
% 3.50/1.16 % (723446)Termination phase: Saturation
% 3.50/1.16 % (723446)Time elapsed: 0.071 s
% 3.50/1.16 % (723446)Peak memory usage: 89 MB
% 3.50/1.16 % (723446)Instructions burned: 110 (million)
% 3.50/1.16 % (723448)First to succeed.
% 3.50/1.16 % (723449)Instruction limit reached!
% 3.50/1.16 % (723449)------------------------------
% 3.50/1.16 % (723449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (723449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (723449)CaDiCaL version: 2.1.3
% 3.50/1.16 % (723449)Termination reason: Instruction limit
% 3.50/1.16 % (723449)Termination phase: Saturation
% 3.50/1.16 % (723449)Time elapsed: 0.081 s
% 3.50/1.16 % (723449)Peak memory usage: 89 MB
% 3.50/1.16 % (723449)Instructions burned: 129 (million)
% 3.50/1.16 % (723448)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-723438"
% 3.50/1.16 % (723451)lrs+10_1_sil=8000:sp=occurrence:random_seed=3120526903:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.50/1.16 % (723451)Also succeeded, but the first one will report.
% 3.50/1.16 % (723458)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2217481695:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.50/1.16 % (723459)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4075753241:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.50/1.16 % (723458)Also succeeded, but the first one will report.
% 3.50/1.16 % (723459)Also succeeded, but the first one will report.
% 3.50/1.16 % (723448)Refutation found. Thanks to Tanya!
% 3.50/1.16 % SZS status Theorem for theBenchmark
% 3.50/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.35 % (723448)------------------------------
% 4.20/1.35 % (723448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.35 % (723448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.35 % (723448)CaDiCaL version: 2.1.3
% 4.20/1.35 % (723448)Termination reason: Refutation
% 4.20/1.35 % (723448)Time elapsed: 0.082 s
% 4.20/1.35 % (723448)Peak memory usage: 91 MB
% 4.20/1.35 % (723448)Instructions burned: 117 (million)
% 4.20/1.35 % (723448)------------------------------
% 4.20/1.35 % (723448)------------------------------
% 4.20/1.35 % (723438)Success in time 0.51 s
% 4.20/1.35 % Vampire exiting
%------------------------------------------------------------------------------