%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV464+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 2.97s 1.13s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 111 ( 41 unt; 11 def)
% Number of atoms : 920 ( 343 equ)
% Maximal formula atoms : 91 ( 8 avg)
% Number of connectives : 1315 ( 506 ~; 384 |; 345 &)
% ( 11 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 19 con; 0-2 aty)
% Number of variables : 384 ( 0 sgn 357 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f12,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f18,axiom,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/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,X9,X10,X11] :
( s(index(pendack,host(X2))) = 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_Halt(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Halt(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/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,X9,X10,X11] :
( s(index(pendack,host(X2))) = 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_Halt(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Halt(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = 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,X43,X44,X45] :
( s(index(pendack,host(X2))) = host(X45)
=> ( host(X2) != host(X45)
=> ( ( setIn(X45,alive)
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44) )
=> ~ ( setIn(X42,alive)
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( setIn(X42,alive)
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42))
& setIn(X45,alive)
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44)
& host(X2) != host(X45)
& s(index(pendack,host(X2))) = host(X45) )
& ~ 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] :
( setIn(X42,alive)
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42))
& setIn(X45,alive)
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44)
& host(X2) != host(X45)
& s(index(pendack,host(X2))) = host(X45) )
& ~ 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] :
( setIn(X4,alive)
& host(X4) = index(ldr,host(X4))
& norm = index(status,host(X4))
& setIn(X7,alive)
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(X2)))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(X2)))
& elec_2 = index(status,host(X7))
& host(X5) = index(pendack,host(X7))
& host(X6) = s(index(pendack,host(X7)))
& host(X2) != host(X7)
& host(X7) = s(index(pendack,host(X2))) )
& ~ 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)
& ! [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))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(rectify,[],[f71]) ).
fof(f79,plain,
( setIn(sK4,alive)
& host(sK4) = index(ldr,host(sK4))
& norm = index(status,host(sK4))
& setIn(sK7,alive)
& leq(nbr_proc,s(index(pendack,host(sK7))))
& elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2)))
& elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2)))
& elec_2 = index(status,host(sK7))
& index(pendack,host(sK7)) = host(sK5)
& s(index(pendack,host(sK7))) = host(sK6)
& host(sK7) != host(sK2)
& host(sK7) = s(index(pendack,host(sK2)))
& ~ leq(nbr_proc,index(pendack,host(sK2)))
& sK1 = index(elid,host(sK2))
& elec_2 = index(status,host(sK2))
& index(pendack,host(sK2)) = host(sK3)
& setIn(sK2,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(sK8(X39,X40),index(down,host(X40)))
& host(X39) != sK8(X39,X40)
& ~ leq(host(X40),sK8(X39,X40))
& leq(s(zero),sK8(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))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) )
& 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]),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(X41,sK8(X39,X40))],[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,
! [X44,X45,X42,X43] :
( ~ 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))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) ),
inference(cnf_transformation,[],[f79]) ).
fof(f117,plain,
host(sK7) = s(index(pendack,host(sK2))),
inference(cnf_transformation,[],[f79]) ).
fof(f119,plain,
s(index(pendack,host(sK7))) = host(sK6),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2))),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2))),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
norm = index(status,host(sK4)),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
host(sK4) = index(ldr,host(sK4)),
inference(cnf_transformation,[],[f79]) ).
fof(f128,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f132,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f12]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f142,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f144,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f156,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
! [X0,X1] : m_Halt(X1) != m_Down(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f205,definition,
~ sP30(norm),
introduced(definition,[new_symbols(definition,[sP30])],[inequality_splitting_name_introduction]) ).
fof(f206,definition,
~ sP31(elec_2),
introduced(definition,[new_symbols(definition,[sP31])],[inequality_splitting_name_introduction]) ).
fof(f207,plain,
! [X44,X45,X42,X43] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| sP30(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))))
| sP31(index(status,host(X45)))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) ),
inference(inequality_splitting,[],[f93,f206,f205]) ).
fof(f217,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f144]) ).
fof(f245,plain,
! [X42] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| sP30(index(status,host(X42)))
| sP46 ),
inference(cnf_transformation,[],[f245_D]) ).
fof(f245_D,definition,
( ! [X42] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| sP30(index(status,host(X42))) )
<=> ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[general_splitting_component_introduction]) ).
fof(f246,plain,
! [X44,X45,X43] :
( ~ 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))))
| sP31(index(status,host(X45)))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44)
| ~ sP46 ),
inference(general_splitting,[],[f207,f245_D]) ).
fof(f247,plain,
! [X44,X45] :
( s(index(pendack,host(X45))) != host(X44)
| ~ elem(m_Down(X44),queue(host(X45)))
| sP47(X45) ),
inference(cnf_transformation,[],[f247_D]) ).
fof(f247_D,definition,
! [X45] :
( ! [X44] :
( s(index(pendack,host(X45))) != host(X44)
| ~ elem(m_Down(X44),queue(host(X45))) )
<=> ~ sP47(X45) ),
introduced(definition,[new_symbols(definition,[sP47])],[general_splitting_component_introduction]) ).
fof(f248,plain,
! [X45,X43] :
( ~ setIn(X45,alive)
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| sP31(index(status,host(X45)))
| index(pendack,host(X45)) != host(X43)
| ~ sP46
| ~ sP47(X45) ),
inference(general_splitting,[],[f246,f247_D]) ).
fof(f249,plain,
host(sK6) = s(index(pendack,s(index(pendack,host(sK2))))),
inference(forward_demodulation,[],[f119,f117]) ).
fof(f250,plain,
host(sK5) = index(pendack,s(index(pendack,host(sK2)))),
inference(forward_demodulation,[],[f120,f117]) ).
fof(f251,plain,
elec_2 = index(status,s(index(pendack,host(sK2)))),
inference(forward_demodulation,[],[f121,f117]) ).
fof(f252,plain,
elem(m_Ack(sK7,sK5),snoc(queue(s(index(pendack,host(sK2)))),m_Halt(sK2))),
inference(forward_demodulation,[],[f122,f117]) ).
fof(f253,plain,
elem(m_Down(sK6),snoc(queue(s(index(pendack,host(sK2)))),m_Halt(sK2))),
inference(forward_demodulation,[],[f123,f117]) ).
fof(f254,plain,
leq(nbr_proc,s(index(pendack,s(index(pendack,host(sK2)))))),
inference(forward_demodulation,[],[f124,f117]) ).
fof(f256,definition,
( spl48_1
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl48_1])],[avatar_definition]) ).
fof(f260,definition,
( spl48_2
<=> ! [X42] :
( ~ setIn(X42,alive)
| sP30(index(status,host(X42)))
| host(X42) != index(ldr,host(X42)) ) ),
introduced(definition,[new_symbols(definition,[spl48_2])],[avatar_definition]) ).
fof(f261,plain,
( ! [X42] :
( host(X42) != index(ldr,host(X42))
| sP30(index(status,host(X42)))
| ~ setIn(X42,alive) )
| ~ spl48_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( spl48_1
| spl48_2 ),
inference(avatar_split_clause,[],[f245,f260,f256]) ).
fof(f264,definition,
( spl48_3
<=> ! [X45,X43] :
( ~ setIn(X45,alive)
| ~ sP47(X45)
| index(pendack,host(X45)) != host(X43)
| sP31(index(status,host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| ~ elem(m_Ack(X45,X43),queue(host(X45))) ) ),
introduced(definition,[new_symbols(definition,[spl48_3])],[avatar_definition]) ).
fof(f265,plain,
( ! [X45,X43] :
( ~ setIn(X45,alive)
| ~ sP47(X45)
| index(pendack,host(X45)) != host(X43)
| sP31(index(status,host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| ~ elem(m_Ack(X45,X43),queue(host(X45))) )
| ~ spl48_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ spl48_1
| spl48_3 ),
inference(avatar_split_clause,[],[f248,f264,f256]) ).
fof(f314,plain,
( ~ leq(s(index(pendack,s(index(pendack,host(sK2))))),nbr_proc)
| nbr_proc = s(index(pendack,s(index(pendack,host(sK2))))) ),
inference(resolution,[],[f254,f142]) ).
fof(f317,definition,
( spl48_8
<=> nbr_proc = s(index(pendack,s(index(pendack,host(sK2))))) ),
introduced(definition,[new_symbols(definition,[spl48_8])],[avatar_definition]) ).
fof(f319,plain,
( nbr_proc = s(index(pendack,s(index(pendack,host(sK2)))))
| ~ spl48_8 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,definition,
( spl48_9
<=> leq(s(index(pendack,s(index(pendack,host(sK2))))),nbr_proc) ),
introduced(definition,[new_symbols(definition,[spl48_9])],[avatar_definition]) ).
fof(f323,plain,
( ~ leq(s(index(pendack,s(index(pendack,host(sK2))))),nbr_proc)
| spl48_9 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f324,plain,
( spl48_8
| ~ spl48_9 ),
inference(avatar_split_clause,[],[f314,f321,f317]) ).
fof(f420,plain,
leq(s(index(pendack,s(index(pendack,host(sK2))))),nbr_proc),
inference(superposition,[],[f156,f249]) ).
fof(f457,plain,
( elem(m_Down(sK6),queue(s(index(pendack,host(sK2)))))
| m_Down(sK6) = m_Halt(sK2) ),
inference(resolution,[],[f253,f133]) ).
fof(f458,plain,
elem(m_Down(sK6),queue(s(index(pendack,host(sK2))))),
inference(forward_subsumption_resolution,[],[f457,f162]) ).
fof(f459,plain,
( elem(m_Ack(sK7,sK5),queue(s(index(pendack,host(sK2)))))
| m_Halt(sK2) = m_Ack(sK7,sK5) ),
inference(resolution,[],[f252,f133]) ).
fof(f460,plain,
elem(m_Ack(sK7,sK5),queue(s(index(pendack,host(sK2))))),
inference(forward_subsumption_resolution,[],[f459,f132]) ).
fof(f650,plain,
( host(sK4) != host(sK4)
| sP30(index(status,host(sK4)))
| ~ setIn(sK4,alive)
| ~ spl48_2 ),
inference(superposition,[],[f261,f127]) ).
fof(f651,plain,
( sP30(index(status,host(sK4)))
| ~ setIn(sK4,alive)
| ~ spl48_2 ),
inference(trivial_inequality_removal,[],[f650]) ).
fof(f652,plain,
( sP30(index(status,host(sK4)))
| ~ spl48_2 ),
inference(forward_subsumption_resolution,[],[f651,f128]) ).
fof(f654,plain,
( sP30(norm)
| ~ spl48_2 ),
inference(forward_demodulation,[],[f652,f126]) ).
fof(f656,plain,
( $false
| ~ spl48_2 ),
inference(forward_subsumption_resolution,[],[f654,f205]) ).
fof(f657,plain,
~ spl48_2,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f667,plain,
( ! [X45,X43] :
( index(pendack,host(X45)) != host(X43)
| ~ setIn(X45,alive)
| ~ sP47(X45)
| ~ leq(s(index(pendack,s(index(pendack,host(sK2))))),s(index(pendack,host(X45))))
| sP31(index(status,host(X45)))
| ~ elem(m_Ack(X45,X43),queue(host(X45))) )
| ~ spl48_3
| ~ spl48_8 ),
inference(forward_demodulation,[],[f265,f319]) ).
fof(f712,plain,
! [X0] :
( host(X0) != s(index(pendack,s(index(pendack,host(sK2)))))
| ~ elem(m_Down(X0),queue(s(index(pendack,host(sK2)))))
| sP47(sK7) ),
inference(superposition,[],[f247,f117]) ).
fof(f718,definition,
( spl48_64
<=> sP47(sK7) ),
introduced(definition,[new_symbols(definition,[spl48_64])],[avatar_definition]) ).
fof(f720,plain,
( sP47(sK7)
| ~ spl48_64 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f722,definition,
( spl48_65
<=> ! [X0] :
( host(X0) != s(index(pendack,s(index(pendack,host(sK2)))))
| ~ elem(m_Down(X0),queue(s(index(pendack,host(sK2))))) ) ),
introduced(definition,[new_symbols(definition,[spl48_65])],[avatar_definition]) ).
fof(f723,plain,
( ! [X0] :
( host(X0) != s(index(pendack,s(index(pendack,host(sK2)))))
| ~ elem(m_Down(X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_65 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( spl48_64
| spl48_65 ),
inference(avatar_split_clause,[],[f712,f722,f718]) ).
fof(f1223,plain,
( ! [X0] :
( host(X0) != index(pendack,s(index(pendack,host(sK2))))
| ~ setIn(sK7,alive)
| ~ sP47(sK7)
| ~ leq(s(index(pendack,s(index(pendack,host(sK2))))),s(index(pendack,s(index(pendack,host(sK2))))))
| sP31(index(status,s(index(pendack,host(sK2)))))
| ~ elem(m_Ack(sK7,X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_3
| ~ spl48_8 ),
inference(superposition,[],[f667,f117]) ).
fof(f1228,plain,
( ! [X0] :
( host(X0) != index(pendack,s(index(pendack,host(sK2))))
| ~ sP47(sK7)
| ~ leq(s(index(pendack,s(index(pendack,host(sK2))))),s(index(pendack,s(index(pendack,host(sK2))))))
| sP31(index(status,s(index(pendack,host(sK2)))))
| ~ elem(m_Ack(sK7,X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_3
| ~ spl48_8 ),
inference(forward_subsumption_resolution,[],[f1223,f125]) ).
fof(f1229,plain,
( ! [X0] :
( host(X0) != index(pendack,s(index(pendack,host(sK2))))
| ~ leq(s(index(pendack,s(index(pendack,host(sK2))))),s(index(pendack,s(index(pendack,host(sK2))))))
| sP31(index(status,s(index(pendack,host(sK2)))))
| ~ elem(m_Ack(sK7,X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(forward_subsumption_resolution,[],[f1228,f720]) ).
fof(f1230,plain,
( ! [X0] :
( host(X0) != index(pendack,s(index(pendack,host(sK2))))
| sP31(index(status,s(index(pendack,host(sK2)))))
| ~ elem(m_Ack(sK7,X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(forward_subsumption_resolution,[],[f1229,f217]) ).
fof(f1231,plain,
( ! [X0] :
( sP31(elec_2)
| host(X0) != index(pendack,s(index(pendack,host(sK2))))
| ~ elem(m_Ack(sK7,X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(forward_demodulation,[],[f1230,f251]) ).
fof(f1232,plain,
( ! [X0] :
( host(X0) != index(pendack,s(index(pendack,host(sK2))))
| ~ elem(m_Ack(sK7,X0),queue(s(index(pendack,host(sK2))))) )
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(forward_subsumption_resolution,[],[f1231,f206]) ).
fof(f1999,plain,
( index(pendack,s(index(pendack,host(sK2)))) != index(pendack,s(index(pendack,host(sK2))))
| ~ elem(m_Ack(sK7,sK5),queue(s(index(pendack,host(sK2)))))
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(superposition,[],[f1232,f250]) ).
fof(f2002,plain,
( ~ elem(m_Ack(sK7,sK5),queue(s(index(pendack,host(sK2)))))
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(trivial_inequality_removal,[],[f1999]) ).
fof(f2003,plain,
( $false
| ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(forward_subsumption_resolution,[],[f2002,f460]) ).
fof(f2004,plain,
( ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(avatar_contradiction_clause,[],[f2003]) ).
fof(f2007,plain,
( s(index(pendack,s(index(pendack,host(sK2))))) != s(index(pendack,s(index(pendack,host(sK2)))))
| ~ elem(m_Down(sK6),queue(s(index(pendack,host(sK2)))))
| ~ spl48_65 ),
inference(superposition,[],[f723,f249]) ).
fof(f2009,plain,
( ~ elem(m_Down(sK6),queue(s(index(pendack,host(sK2)))))
| ~ spl48_65 ),
inference(trivial_inequality_removal,[],[f2007]) ).
fof(f2010,plain,
( $false
| ~ spl48_65 ),
inference(forward_subsumption_resolution,[],[f2009,f458]) ).
fof(f2011,plain,
~ spl48_65,
inference(avatar_contradiction_clause,[],[f2010]) ).
fof(f2012,plain,
( $false
| spl48_9 ),
inference(forward_subsumption_resolution,[],[f420,f323]) ).
fof(f2013,plain,
spl48_9,
inference(avatar_contradiction_clause,[],[f2012]) ).
cnf(s1,plain,
( spl48_1
| spl48_2 ),
inference(sat_conversion,[],[f262]) ).
cnf(s2,plain,
( ~ spl48_1
| spl48_3 ),
inference(sat_conversion,[],[f266]) ).
cnf(s5,plain,
( spl48_8
| ~ spl48_9 ),
inference(sat_conversion,[],[f324]) ).
cnf(s31,plain,
~ spl48_2,
inference(sat_conversion,[],[f657]) ).
cnf(s37,plain,
( spl48_64
| spl48_65 ),
inference(sat_conversion,[],[f724]) ).
cnf(s130,plain,
( ~ spl48_3
| ~ spl48_8
| ~ spl48_64 ),
inference(sat_conversion,[],[f2004]) ).
cnf(s131,plain,
~ spl48_65,
inference(sat_conversion,[],[f2011]) ).
cnf(s132,plain,
spl48_9,
inference(sat_conversion,[],[f2013]) ).
cnf(s148,plain,
spl48_64,
inference(rat,[],[s37,s131]) ).
cnf(s151,plain,
spl48_8,
inference(rat,[],[s5,s132]) ).
cnf(s152,plain,
~ spl48_3,
inference(rat,[],[s130,s148,s151]) ).
cnf(s157,plain,
~ spl48_1,
inference(rat,[],[s2,s152]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s1,s31,s157]) ).
fof(f2035,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV464+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 11:12:41 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/1.12 % (290665)Detected formulas, will run a generic FOF schedule.
% 2.97/1.12 % (290675)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4164856892:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.97/1.12 % (290672)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=649533977:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.97/1.12 % (290673)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=2474398976:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.97/1.12 % (290671)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=1168316224:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.97/1.12 % (290674)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=271898152:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.97/1.12 % (290675)Instruction limit reached!
% 2.97/1.12 % (290675)------------------------------
% 2.97/1.12 % (290675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.12 % (290675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.12 % (290675)CaDiCaL version: 2.1.3
% 2.97/1.12 % (290675)Termination reason: Instruction limit
% 2.97/1.12 % (290675)Termination phase: Saturation
% 2.97/1.12 % (290675)Time elapsed: 0.040 s
% 2.97/1.12 % (290675)Peak memory usage: 88 MB
% 2.97/1.12 % (290675)Instructions burned: 121 (million)
% 2.97/1.12 % (290676)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3824452374:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.97/1.12 % (290677)dis-21_1_sil=8000:lcm=predicate:random_seed=689365235: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)
% 2.97/1.12 % (290674)First to succeed.
% 2.97/1.12 % (290674)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-290665"
% 2.97/1.12 % (290677)Instruction limit reached!
% 2.97/1.12 % (290677)------------------------------
% 2.97/1.13 % (290677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.13 % (290677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.13 % (290677)CaDiCaL version: 2.1.3
% 2.97/1.13 % (290677)Termination reason: Instruction limit
% 2.97/1.13 % (290677)Termination phase: Saturation
% 2.97/1.13 % (290677)Time elapsed: 0.084 s
% 2.97/1.13 % (290677)Peak memory usage: 89 MB
% 2.97/1.13 % (290677)Instructions burned: 130 (million)
% 2.97/1.13 % (290676)Instruction limit reached!
% 2.97/1.13 % (290676)------------------------------
% 2.97/1.13 % (290676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.13 % (290676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.13 % (290676)CaDiCaL version: 2.1.3
% 2.97/1.13 % (290676)Termination reason: Instruction limit
% 2.97/1.13 % (290676)Termination phase: Saturation
% 2.97/1.13 % (290676)Time elapsed: 0.097 s
% 2.97/1.13 % (290676)Peak memory usage: 90 MB
% 2.97/1.13 % (290676)Instructions burned: 139 (million)
% 2.97/1.13 % (290685)lrs+10_1_sil=8000:sp=occurrence:random_seed=4239848937:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.97/1.13 % (290685)Also succeeded, but the first one will report.
% 2.97/1.13 % (290688)lrs+1011_1_sil=32000:sp=occurrence:random_seed=171283281:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.97/1.13 % (290686)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1081198815:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.97/1.13 % (290686)Also succeeded, but the first one will report.
% 2.97/1.13 % (290674)Refutation found. Thanks to Tanya!
% 2.97/1.13 % SZS status Theorem for theBenchmark
% 2.97/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.22 % (290674)------------------------------
% 3.78/1.22 % (290674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.22 % (290674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.22 % (290674)CaDiCaL version: 2.1.3
% 3.78/1.22 % (290674)Termination reason: Refutation
% 3.78/1.22 % (290674)Time elapsed: 0.041 s
% 3.78/1.22 % (290674)Peak memory usage: 90 MB
% 3.78/1.22 % (290674)Instructions burned: 63 (million)
% 3.78/1.22 % (290674)------------------------------
% 3.78/1.22 % (290674)------------------------------
% 3.78/1.22 % (290665)Success in time 0.455 s
% 3.78/1.22 % Vampire exiting
%------------------------------------------------------------------------------