%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV465+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 : n017.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 2.54s 0.89s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 155 ( 44 unt; 15 def)
% Number of atoms : 1021 ( 361 equ)
% Maximal formula atoms : 88 ( 6 avg)
% Number of connectives : 1431 ( 565 ~; 449 |; 335 &)
% ( 16 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 18 con; 0-2 aty)
% Number of variables : 408 ( 0 sgn 384 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f14,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f20,axiom,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
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(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
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] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> host(X4) != host(X3) )
& ! [X3,X4] :
( elem(m_Halt(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> leq(index(pendack,host(X4)),host(X3)) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X3,alive)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X3)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = host(X4)
& host(X5) = nbr_proc
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X3,alive)
& elem(m_Down(X4),queue(host(X3))) ) )
& ! [X3,X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X2)) = cons(m_NormQ(X1),X0) )
=> ( setIn(X2,alive)
=> ( index(status,host(X2)) != norm
=> ! [X3,X4,X8,X9] :
( host(X1) = host(X9)
=> ( host(X2) = host(X9)
=> ( ( setIn(X9,alive)
& elem(m_Down(X8),snoc(X0,m_NotNorm(X1)))
& elem(m_Ack(X9,X4),snoc(X0,m_NotNorm(X1)))
& leq(nbr_proc,s(index(pendack,host(X9))))
& index(status,host(X9)) = elec_2
& host(X4) = index(pendack,host(X9))
& host(X8) = s(index(pendack,host(X9))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> host(X4) != host(X3) )
& ! [X3,X4] :
( elem(m_Halt(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> leq(index(pendack,host(X4)),host(X3)) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X3,alive)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X3)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = host(X4)
& host(X5) = nbr_proc
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X3,alive)
& elem(m_Down(X4),queue(host(X3))) ) )
& ! [X3,X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X2)) = cons(m_NormQ(X1),X0) )
=> ( setIn(X2,alive)
=> ( index(status,host(X2)) != norm
=> ! [X3,X4,X8,X9] :
( host(X1) = host(X9)
=> ( host(X2) = host(X9)
=> ( ( setIn(X9,alive)
& elem(m_Down(X8),snoc(X0,m_NotNorm(X1)))
& elem(m_Ack(X9,X4),snoc(X0,m_NotNorm(X1)))
& leq(nbr_proc,s(index(pendack,host(X9))))
& index(status,host(X9)) = elec_2
& host(X4) = index(pendack,host(X9))
& host(X8) = s(index(pendack,host(X9))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X7,X8] :
( elem(m_Halt(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X9,X10,X11] :
( elem(m_Ack(X11,X9),queue(host(X10)))
=> ~ leq(host(X9),host(X11)) )
& ! [X12,X13] :
( ( X12 != X13
& host(X12) = host(X13) )
=> ( ~ setIn(X12,alive)
| ~ setIn(X13,alive) ) )
& ! [X14,X15] :
( ( setIn(X15,alive)
& elem(m_Ack(X15,X14),queue(host(X15))) )
=> leq(host(X14),index(pendack,host(X15))) )
& ! [X16,X17] :
( ( setIn(X17,alive)
& elec_1 = index(status,host(X17)) )
=> ~ elem(m_Ack(X17,X16),queue(host(X17))) )
& ! [X18] :
( ( ( elec_1 = index(status,host(X18))
| elec_2 = index(status,host(X18)) )
& setIn(X18,alive) )
=> index(elid,host(X18)) = X18 )
& ! [X19,X20] :
( ( ~ leq(host(X19),host(X20))
& setIn(X19,alive)
& setIn(X20,alive)
& elec_2 = index(status,host(X19))
& elec_2 = index(status,host(X20)) )
=> leq(index(pendack,host(X20)),host(X19)) )
& ! [X21,X22,X23] :
( ( setIn(X23,alive)
& elem(m_Down(X22),queue(host(X23)))
& host(X21) = host(X22) )
=> ~ ( setIn(X21,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21)) ) )
& ! [X24,X25,X26] :
( ( setIn(X24,alive)
& setIn(X26,alive)
& host(X25) = host(X26)
& elec_2 = index(status,host(X24))
& elec_2 = index(status,host(X26)) )
=> ~ elem(m_Ack(X24,X25),queue(host(X24))) )
& ! [X27,X28] :
( ( ~ leq(host(X27),host(X28))
& setIn(X27,alive)
& setIn(X28,alive)
& elec_2 = index(status,host(X27))
& elec_2 = index(status,host(X28)) )
=> ~ leq(index(pendack,host(X27)),index(pendack,host(X28))) )
& ! [X29,X30,X31] :
( ( ~ leq(index(pendack,host(X31)),host(X29))
& setIn(X31,alive)
& elem(m_Halt(X31),queue(host(X30)))
& elec_2 = index(status,host(X31)) )
=> ~ ( setIn(X29,alive)
& host(X29) = index(ldr,host(X29))
& norm = index(status,host(X29)) ) )
& ! [X32,X33,X34,X35] :
( ( ! [X36] :
( ( ~ leq(host(X35),X36)
& leq(s(zero),X36) )
=> ( setIn(X36,index(down,host(X35)))
| host(X34) = X36 ) )
& elem(m_Down(X34),queue(host(X35)))
& host(X35) = host(X33)
& nbr_proc = host(X35)
& elec_1 = index(status,host(X35)) )
=> ~ ( setIn(X32,alive)
& elem(m_Down(X33),queue(host(X32))) ) )
& ! [X37,X38,X39,X40] :
( ( setIn(X40,alive)
& elem(m_Ack(X40,X38),queue(host(X40)))
& elem(m_Down(X39),queue(host(X40)))
& leq(nbr_proc,s(index(pendack,host(X40))))
& elec_2 = index(status,host(X40))
& index(pendack,host(X40)) = host(X38)
& s(index(pendack,host(X40))) = host(X39) )
=> ~ ( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37)) ) )
& queue(host(X2)) = cons(m_NormQ(X1),X0) )
=> ( setIn(X2,alive)
=> ( index(status,host(X2)) != norm
=> ! [X41,X42,X43,X44] :
( host(X1) = host(X44)
=> ( host(X2) = host(X44)
=> ( ( setIn(X44,alive)
& elem(m_Down(X43),snoc(X0,m_NotNorm(X1)))
& elem(m_Ack(X44,X42),snoc(X0,m_NotNorm(X1)))
& leq(nbr_proc,s(index(pendack,host(X44))))
& elec_2 = index(status,host(X44))
& index(pendack,host(X44)) = host(X42)
& s(index(pendack,host(X44))) = host(X43) )
=> ~ ( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41)) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ? [X41,X42,X43,X44] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& setIn(X44,alive)
& elem(m_Down(X43),snoc(X0,m_NotNorm(X1)))
& elem(m_Ack(X44,X42),snoc(X0,m_NotNorm(X1)))
& leq(nbr_proc,s(index(pendack,host(X44))))
& elec_2 = index(status,host(X44))
& index(pendack,host(X44)) = host(X42)
& s(index(pendack,host(X44))) = host(X43)
& host(X2) = host(X44)
& host(X1) = host(X44) )
& index(status,host(X2)) != norm
& setIn(X2,alive)
& ! [X3,X4] :
( ~ leq(host(X3),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X3))) )
& ! [X5,X6] :
( host(X5) != host(X6)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Halt(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13
| host(X12) != host(X13) )
& ! [X14,X15] :
( leq(host(X14),index(pendack,host(X15)))
| ~ setIn(X15,alive)
| ~ elem(m_Ack(X15,X14),queue(host(X15))) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| ~ setIn(X17,alive)
| elec_1 != index(status,host(X17)) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ( elec_1 != index(status,host(X18))
& elec_2 != index(status,host(X18)) )
| ~ setIn(X18,alive) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| leq(host(X19),host(X20))
| ~ setIn(X19,alive)
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X20)) )
& ! [X21,X22,X23] :
( ~ setIn(X21,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X23)))
| host(X21) != host(X22) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28] :
( ~ leq(index(pendack,host(X27)),index(pendack,host(X28)))
| 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] :
( ~ setIn(X29,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| leq(index(pendack,host(X31)),host(X29))
| ~ setIn(X31,alive)
| ~ elem(m_Halt(X31),queue(host(X30)))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33,X34,X35] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ? [X36] :
( ~ setIn(X36,index(down,host(X35)))
& host(X34) != X36
& ~ leq(host(X35),X36)
& leq(s(zero),X36) )
| ~ elem(m_Down(X34),queue(host(X35)))
| host(X35) != host(X33)
| nbr_proc != host(X35)
| elec_1 != index(status,host(X35)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X40,alive)
| ~ elem(m_Ack(X40,X38),queue(host(X40)))
| ~ elem(m_Down(X39),queue(host(X40)))
| ~ leq(nbr_proc,s(index(pendack,host(X40))))
| elec_2 != index(status,host(X40))
| index(pendack,host(X40)) != host(X38)
| s(index(pendack,host(X40))) != host(X39) )
& queue(host(X2)) = cons(m_NormQ(X1),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ? [X41,X42,X43,X44] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& setIn(X44,alive)
& elem(m_Down(X43),snoc(X0,m_NotNorm(X1)))
& elem(m_Ack(X44,X42),snoc(X0,m_NotNorm(X1)))
& leq(nbr_proc,s(index(pendack,host(X44))))
& elec_2 = index(status,host(X44))
& index(pendack,host(X44)) = host(X42)
& s(index(pendack,host(X44))) = host(X43)
& host(X2) = host(X44)
& host(X1) = host(X44) )
& index(status,host(X2)) != norm
& setIn(X2,alive)
& ! [X3,X4] :
( ~ leq(host(X3),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X3))) )
& ! [X5,X6] :
( host(X5) != host(X6)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Halt(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13
| host(X12) != host(X13) )
& ! [X14,X15] :
( leq(host(X14),index(pendack,host(X15)))
| ~ setIn(X15,alive)
| ~ elem(m_Ack(X15,X14),queue(host(X15))) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| ~ setIn(X17,alive)
| elec_1 != index(status,host(X17)) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ( elec_1 != index(status,host(X18))
& elec_2 != index(status,host(X18)) )
| ~ setIn(X18,alive) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| leq(host(X19),host(X20))
| ~ setIn(X19,alive)
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X20)) )
& ! [X21,X22,X23] :
( ~ setIn(X21,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X23)))
| host(X21) != host(X22) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28] :
( ~ leq(index(pendack,host(X27)),index(pendack,host(X28)))
| 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] :
( ~ setIn(X29,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| leq(index(pendack,host(X31)),host(X29))
| ~ setIn(X31,alive)
| ~ elem(m_Halt(X31),queue(host(X30)))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33,X34,X35] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ? [X36] :
( ~ setIn(X36,index(down,host(X35)))
& host(X34) != X36
& ~ leq(host(X35),X36)
& leq(s(zero),X36) )
| ~ elem(m_Down(X34),queue(host(X35)))
| host(X35) != host(X33)
| nbr_proc != host(X35)
| elec_1 != index(status,host(X35)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X40,alive)
| ~ elem(m_Ack(X40,X38),queue(host(X40)))
| ~ elem(m_Down(X39),queue(host(X40)))
| ~ leq(nbr_proc,s(index(pendack,host(X40))))
| elec_2 != index(status,host(X40))
| index(pendack,host(X40)) != host(X38)
| s(index(pendack,host(X40))) != host(X39) )
& queue(host(X2)) = cons(m_NormQ(X1),X0) ),
inference(flattening,[],[f70]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& setIn(X6,alive)
& elem(m_Down(X5),snoc(X0,m_NotNorm(X1)))
& elem(m_Ack(X6,X4),snoc(X0,m_NotNorm(X1)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elec_2 = index(status,host(X6))
& host(X4) = index(pendack,host(X6))
& host(X5) = s(index(pendack,host(X6)))
& host(X2) = host(X6)
& host(X1) = host(X6) )
& index(status,host(X2)) != norm
& setIn(X2,alive)
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( host(X9) != host(X10)
| ~ elem(m_Down(X10),queue(host(X9))) )
& ! [X11,X12] :
( ~ leq(host(X11),host(X12))
| ~ elem(m_Halt(X12),queue(host(X11))) )
& ! [X13,X14,X15] :
( ~ leq(host(X13),host(X15))
| ~ elem(m_Ack(X15,X13),queue(host(X14))) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X17) != host(X16) )
& ! [X18,X19] :
( leq(host(X18),index(pendack,host(X19)))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X19,X18),queue(host(X19))) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [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] :
( ~ 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(X25) != host(X26) )
& ! [X28,X29,X30] :
( ~ elem(m_Ack(X28,X29),queue(host(X28)))
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X30)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32] :
( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
| leq(host(X31),host(X32))
| ~ setIn(X31,alive)
| ~ setIn(X32,alive)
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35] :
( ~ setIn(X33,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ elem(m_Halt(X35),queue(host(X34)))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38,X39] :
( ~ setIn(X36,alive)
| ~ elem(m_Down(X37),queue(host(X36)))
| ? [X40] :
( ~ setIn(X40,index(down,host(X39)))
& host(X38) != X40
& ~ leq(host(X39),X40)
& leq(s(zero),X40) )
| ~ elem(m_Down(X38),queue(host(X39)))
| host(X39) != host(X37)
| nbr_proc != host(X39)
| elec_1 != index(status,host(X39)) )
& ! [X41,X42,X43,X44] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| elec_2 != index(status,host(X44))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) )
& queue(host(X2)) = cons(m_NormQ(X1),X0) ),
inference(rectify,[],[f71]) ).
fof(f79,plain,
( setIn(sK3,alive)
& host(sK3) = index(ldr,host(sK3))
& norm = index(status,host(sK3))
& setIn(sK6,alive)
& elem(m_Down(sK5),snoc(sK0,m_NotNorm(sK1)))
& elem(m_Ack(sK6,sK4),snoc(sK0,m_NotNorm(sK1)))
& leq(nbr_proc,s(index(pendack,host(sK6))))
& elec_2 = index(status,host(sK6))
& index(pendack,host(sK6)) = host(sK4)
& s(index(pendack,host(sK6))) = host(sK5)
& host(sK6) = host(sK2)
& host(sK6) = host(sK1)
& norm != index(status,host(sK2))
& setIn(sK2,alive)
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( host(X9) != host(X10)
| ~ elem(m_Down(X10),queue(host(X9))) )
& ! [X11,X12] :
( ~ leq(host(X11),host(X12))
| ~ elem(m_Halt(X12),queue(host(X11))) )
& ! [X13,X14,X15] :
( ~ leq(host(X13),host(X15))
| ~ elem(m_Ack(X15,X13),queue(host(X14))) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X17) != host(X16) )
& ! [X18,X19] :
( leq(host(X18),index(pendack,host(X19)))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X19,X18),queue(host(X19))) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [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] :
( ~ 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(X25) != host(X26) )
& ! [X28,X29,X30] :
( ~ elem(m_Ack(X28,X29),queue(host(X28)))
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X30)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32] :
( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
| leq(host(X31),host(X32))
| ~ setIn(X31,alive)
| ~ setIn(X32,alive)
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35] :
( ~ setIn(X33,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ elem(m_Halt(X35),queue(host(X34)))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38,X39] :
( ~ setIn(X36,alive)
| ~ elem(m_Down(X37),queue(host(X36)))
| ( ~ setIn(sK7(X38,X39),index(down,host(X39)))
& host(X38) != sK7(X38,X39)
& ~ leq(host(X39),sK7(X38,X39))
& leq(s(zero),sK7(X38,X39)) )
| ~ elem(m_Down(X38),queue(host(X39)))
| host(X39) != host(X37)
| nbr_proc != host(X39)
| elec_1 != index(status,host(X39)) )
& ! [X41,X42,X43,X44] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| elec_2 != index(status,host(X44))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) )
& queue(host(sK2)) = cons(m_NormQ(sK1),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X40,sK7(X38,X39))],[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(f82,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(f83,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,[],[f82]) ).
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(f86,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(f87,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,[],[f86]) ).
fof(f94,plain,
queue(host(sK2)) = cons(m_NormQ(sK1),sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f95,plain,
! [X41,X44,X42,X43] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| elec_2 != index(status,host(X44))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) ),
inference(cnf_transformation,[],[f79]) ).
fof(f105,plain,
! [X22] :
( index(elid,host(X22)) = X22
| elec_2 != index(status,host(X22))
| ~ setIn(X22,alive) ),
inference(cnf_transformation,[],[f79]) ).
fof(f109,plain,
! [X16,X17] :
( host(X17) != host(X16)
| ~ setIn(X17,alive)
| X16 = X17
| ~ setIn(X16,alive) ),
inference(cnf_transformation,[],[f79]) ).
fof(f114,plain,
setIn(sK2,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f117,plain,
host(sK6) = host(sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f118,plain,
s(index(pendack,host(sK6))) = host(sK5),
inference(cnf_transformation,[],[f79]) ).
fof(f119,plain,
index(pendack,host(sK6)) = host(sK4),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
elec_2 = index(status,host(sK6)),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
leq(nbr_proc,s(index(pendack,host(sK6)))),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
elem(m_Ack(sK6,sK4),snoc(sK0,m_NotNorm(sK1))),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
elem(m_Down(sK5),snoc(sK0,m_NotNorm(sK1))),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f136,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f141,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f146,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f155,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f20]) ).
fof(f170,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f14]) ).
fof(f189,definition,
~ sP11(elec_2),
introduced(definition,[new_symbols(definition,[sP11])],[inequality_splitting_name_introduction]) ).
fof(f190,plain,
! [X22] :
( index(elid,host(X22)) = X22
| sP11(index(status,host(X22)))
| ~ setIn(X22,alive) ),
inference(inequality_splitting,[],[f105,f189]) ).
fof(f217,definition,
~ sP29(norm),
introduced(definition,[new_symbols(definition,[sP29])],[inequality_splitting_name_introduction]) ).
fof(f218,definition,
~ sP30(elec_2),
introduced(definition,[new_symbols(definition,[sP30])],[inequality_splitting_name_introduction]) ).
fof(f219,plain,
! [X41,X44,X42,X43] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| sP29(index(status,host(X41)))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| sP30(index(status,host(X44)))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) ),
inference(inequality_splitting,[],[f95,f218,f217]) ).
fof(f259,plain,
! [X41] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| sP29(index(status,host(X41)))
| sP45 ),
inference(cnf_transformation,[],[f259_D]) ).
fof(f259_D,definition,
( ! [X41] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| sP29(index(status,host(X41))) )
<=> ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[general_splitting_component_introduction]) ).
fof(f260,plain,
! [X44,X42,X43] :
( ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| sP30(index(status,host(X44)))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43)
| ~ sP45 ),
inference(general_splitting,[],[f219,f259_D]) ).
fof(f261,plain,
! [X44,X42] :
( index(pendack,host(X44)) != host(X42)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| sP46(X44) ),
inference(cnf_transformation,[],[f261_D]) ).
fof(f261_D,definition,
! [X44] :
( ! [X42] :
( index(pendack,host(X44)) != host(X42)
| ~ elem(m_Ack(X44,X42),queue(host(X44))) )
<=> ~ sP46(X44) ),
introduced(definition,[new_symbols(definition,[sP46])],[general_splitting_component_introduction]) ).
fof(f262,plain,
! [X44,X43] :
( ~ setIn(X44,alive)
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| sP30(index(status,host(X44)))
| s(index(pendack,host(X44))) != host(X43)
| ~ sP45
| ~ sP46(X44) ),
inference(general_splitting,[],[f260,f261_D]) ).
fof(f264,definition,
( spl47_1
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl47_1])],[avatar_definition]) ).
fof(f268,definition,
( spl47_2
<=> ! [X41] :
( ~ setIn(X41,alive)
| sP29(index(status,host(X41)))
| host(X41) != index(ldr,host(X41)) ) ),
introduced(definition,[new_symbols(definition,[spl47_2])],[avatar_definition]) ).
fof(f269,plain,
( ! [X41] :
( host(X41) != index(ldr,host(X41))
| sP29(index(status,host(X41)))
| ~ setIn(X41,alive) )
| ~ spl47_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( spl47_1
| spl47_2 ),
inference(avatar_split_clause,[],[f259,f268,f264]) ).
fof(f272,definition,
( spl47_3
<=> ! [X44,X43] :
( ~ setIn(X44,alive)
| ~ sP46(X44)
| s(index(pendack,host(X44))) != host(X43)
| sP30(index(status,host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| ~ elem(m_Down(X43),queue(host(X44))) ) ),
introduced(definition,[new_symbols(definition,[spl47_3])],[avatar_definition]) ).
fof(f273,plain,
( ! [X44,X43] :
( s(index(pendack,host(X44))) != host(X43)
| ~ sP46(X44)
| ~ setIn(X44,alive)
| sP30(index(status,host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| ~ elem(m_Down(X43),queue(host(X44))) )
| ~ spl47_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( ~ spl47_1
| spl47_3 ),
inference(avatar_split_clause,[],[f262,f272,f264]) ).
fof(f285,plain,
leq(index(pendack,host(sK6)),nbr_proc),
inference(superposition,[],[f155,f119]) ).
fof(f289,plain,
( ~ leq(nbr_proc,index(pendack,host(sK6)))
| nbr_proc = index(pendack,host(sK6)) ),
inference(resolution,[],[f285,f141]) ).
fof(f292,definition,
( spl47_4
<=> nbr_proc = index(pendack,host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl47_4])],[avatar_definition]) ).
fof(f294,plain,
( nbr_proc = index(pendack,host(sK6))
| ~ spl47_4 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl47_5
<=> leq(nbr_proc,index(pendack,host(sK6))) ),
introduced(definition,[new_symbols(definition,[spl47_5])],[avatar_definition]) ).
fof(f298,plain,
( ~ leq(nbr_proc,index(pendack,host(sK6)))
| spl47_5 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl47_4
| ~ spl47_5 ),
inference(avatar_split_clause,[],[f289,f296,f292]) ).
fof(f300,plain,
( leq(nbr_proc,index(pendack,host(sK6)))
| nbr_proc = s(index(pendack,host(sK6))) ),
inference(resolution,[],[f121,f146]) ).
fof(f304,definition,
( spl47_6
<=> nbr_proc = s(index(pendack,host(sK6))) ),
introduced(definition,[new_symbols(definition,[spl47_6])],[avatar_definition]) ).
fof(f306,plain,
( nbr_proc = s(index(pendack,host(sK6)))
| ~ spl47_6 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f312,plain,
( nbr_proc = s(index(pendack,host(sK6)))
| spl47_5 ),
inference(forward_subsumption_resolution,[],[f300,f298]) ).
fof(f313,plain,
( spl47_6
| spl47_5 ),
inference(avatar_split_clause,[],[f312,f296,f304]) ).
fof(f315,plain,
( elem(m_Down(sK5),sK0)
| m_Down(sK5) = m_NotNorm(sK1) ),
inference(resolution,[],[f123,f132]) ).
fof(f316,plain,
elem(m_Down(sK5),sK0),
inference(forward_subsumption_resolution,[],[f315,f168]) ).
fof(f329,plain,
! [X0] :
( elem(X0,queue(host(sK2)))
| ~ elem(X0,sK0) ),
inference(superposition,[],[f136,f94]) ).
fof(f332,plain,
! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK0) ),
inference(forward_demodulation,[],[f329,f117]) ).
fof(f334,plain,
leq(s(index(pendack,host(sK6))),nbr_proc),
inference(superposition,[],[f155,f118]) ).
fof(f353,plain,
( elem(m_Ack(sK6,sK4),sK0)
| m_NotNorm(sK1) = m_Ack(sK6,sK4) ),
inference(resolution,[],[f122,f132]) ).
fof(f354,plain,
elem(m_Ack(sK6,sK4),sK0),
inference(forward_subsumption_resolution,[],[f353,f170]) ).
fof(f475,plain,
! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| sK2 = X0
| ~ setIn(sK2,alive) ),
inference(superposition,[],[f109,f117]) ).
fof(f480,plain,
! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| sK2 = X0 ),
inference(forward_subsumption_resolution,[],[f475,f114]) ).
fof(f494,definition,
( spl47_21
<=> sK2 = index(elid,host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl47_21])],[avatar_definition]) ).
fof(f495,plain,
( sK2 != index(elid,host(sK6))
| spl47_21 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f496,plain,
( sK2 = index(elid,host(sK6))
| ~ spl47_21 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f509,plain,
( sK2 = index(elid,host(sK6))
| sP11(index(status,host(sK6)))
| ~ setIn(sK2,alive) ),
inference(superposition,[],[f190,f117]) ).
fof(f583,plain,
( sP11(index(status,host(sK6)))
| ~ setIn(sK2,alive)
| spl47_21 ),
inference(forward_subsumption_resolution,[],[f509,f495]) ).
fof(f595,plain,
( leq(s(nbr_proc),nbr_proc)
| ~ spl47_4 ),
inference(forward_demodulation,[],[f334,f294]) ).
fof(f606,plain,
( sP11(index(status,host(sK6)))
| spl47_21 ),
inference(forward_subsumption_resolution,[],[f583,f114]) ).
fof(f609,plain,
( $false
| ~ spl47_4 ),
inference(forward_subsumption_resolution,[],[f595,f151]) ).
fof(f610,plain,
~ spl47_4,
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f615,plain,
( sP11(elec_2)
| spl47_21 ),
inference(forward_demodulation,[],[f606,f120]) ).
fof(f620,plain,
( $false
| spl47_21 ),
inference(forward_subsumption_resolution,[],[f615,f189]) ).
fof(f621,plain,
spl47_21,
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f762,plain,
( host(sK3) != host(sK3)
| sP29(index(status,host(sK3)))
| ~ setIn(sK3,alive)
| ~ spl47_2 ),
inference(superposition,[],[f269,f126]) ).
fof(f763,plain,
( sP29(index(status,host(sK3)))
| ~ setIn(sK3,alive)
| ~ spl47_2 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f764,plain,
( sP29(index(status,host(sK3)))
| ~ spl47_2 ),
inference(forward_subsumption_resolution,[],[f763,f127]) ).
fof(f766,plain,
( sP29(norm)
| ~ spl47_2 ),
inference(forward_demodulation,[],[f764,f125]) ).
fof(f768,plain,
( $false
| ~ spl47_2 ),
inference(forward_subsumption_resolution,[],[f766,f217]) ).
fof(f769,plain,
~ spl47_2,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f820,plain,
! [X0] :
( host(X0) != index(pendack,host(sK6))
| ~ elem(m_Ack(sK2,X0),queue(host(sK6)))
| sP46(sK2) ),
inference(superposition,[],[f261,f117]) ).
fof(f838,plain,
( ! [X0] :
( ~ elem(m_Ack(index(elid,host(sK6)),X0),queue(host(sK6)))
| host(X0) != index(pendack,host(sK6))
| sP46(sK2) )
| ~ spl47_21 ),
inference(forward_demodulation,[],[f820,f496]) ).
fof(f848,plain,
( ! [X0] :
( sP46(index(elid,host(sK6)))
| ~ elem(m_Ack(index(elid,host(sK6)),X0),queue(host(sK6)))
| host(X0) != index(pendack,host(sK6)) )
| ~ spl47_21 ),
inference(forward_demodulation,[],[f838,f496]) ).
fof(f858,definition,
( spl47_70
<=> ! [X0] :
( ~ elem(m_Ack(index(elid,host(sK6)),X0),queue(host(sK6)))
| host(X0) != index(pendack,host(sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl47_70])],[avatar_definition]) ).
fof(f859,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK6))
| ~ elem(m_Ack(index(elid,host(sK6)),X0),queue(host(sK6))) )
| ~ spl47_70 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f861,definition,
( spl47_71
<=> sP46(index(elid,host(sK6))) ),
introduced(definition,[new_symbols(definition,[spl47_71])],[avatar_definition]) ).
fof(f864,plain,
( spl47_70
| spl47_71
| ~ spl47_21 ),
inference(avatar_split_clause,[],[f848,f494,f861,f858]) ).
fof(f1293,plain,
( ! [X0] :
( host(X0) != s(index(pendack,host(sK6)))
| ~ sP46(sK2)
| ~ setIn(sK2,alive)
| sP30(index(status,host(sK6)))
| ~ leq(nbr_proc,s(index(pendack,host(sK6))))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3 ),
inference(superposition,[],[f273,f117]) ).
fof(f1302,plain,
( ! [X0] :
( host(X0) != s(index(pendack,host(sK6)))
| ~ sP46(sK2)
| sP30(index(status,host(sK6)))
| ~ leq(nbr_proc,s(index(pendack,host(sK6))))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3 ),
inference(forward_subsumption_resolution,[],[f1293,f114]) ).
fof(f1303,plain,
( ! [X0] :
( host(X0) != s(index(pendack,host(sK6)))
| ~ sP46(sK2)
| sP30(index(status,host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3 ),
inference(forward_subsumption_resolution,[],[f1302,f121]) ).
fof(f1304,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ sP46(sK2)
| sP30(index(status,host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3
| ~ spl47_6 ),
inference(forward_demodulation,[],[f1303,f306]) ).
fof(f1305,plain,
( ! [X0] :
( ~ sP46(index(elid,host(sK6)))
| host(X0) != nbr_proc
| sP30(index(status,host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3
| ~ spl47_6
| ~ spl47_21 ),
inference(forward_demodulation,[],[f1304,f496]) ).
fof(f1306,plain,
( ! [X0] :
( sP30(elec_2)
| ~ sP46(index(elid,host(sK6)))
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3
| ~ spl47_6
| ~ spl47_21 ),
inference(forward_demodulation,[],[f1305,f120]) ).
fof(f1307,plain,
( ! [X0] :
( ~ sP46(index(elid,host(sK6)))
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_3
| ~ spl47_6
| ~ spl47_21 ),
inference(forward_subsumption_resolution,[],[f1306,f218]) ).
fof(f1309,definition,
( spl47_138
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(definition,[new_symbols(definition,[spl47_138])],[avatar_definition]) ).
fof(f1310,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl47_138 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1311,plain,
( spl47_138
| ~ spl47_71
| ~ spl47_3
| ~ spl47_6
| ~ spl47_21 ),
inference(avatar_split_clause,[],[f1307,f494,f304,f272,f861,f1309]) ).
fof(f1614,plain,
( ~ setIn(sK6,alive)
| sK2 = sK6 ),
inference(equality_resolution,[],[f480]) ).
fof(f1617,plain,
sK2 = sK6,
inference(forward_subsumption_resolution,[],[f1614,f124]) ).
fof(f1622,plain,
( sK6 = index(elid,host(sK6))
| ~ spl47_21 ),
inference(superposition,[],[f496,f1617]) ).
fof(f2059,plain,
( index(pendack,host(sK6)) != index(pendack,host(sK6))
| ~ elem(m_Ack(index(elid,host(sK6)),sK4),queue(host(sK6)))
| ~ spl47_70 ),
inference(superposition,[],[f859,f119]) ).
fof(f2061,plain,
( ~ elem(m_Ack(index(elid,host(sK6)),sK4),queue(host(sK6)))
| ~ spl47_70 ),
inference(trivial_inequality_removal,[],[f2059]) ).
fof(f2063,plain,
( ~ elem(m_Ack(sK6,sK4),queue(host(sK6)))
| ~ spl47_21
| ~ spl47_70 ),
inference(forward_demodulation,[],[f2061,f1622]) ).
fof(f2064,plain,
( ~ elem(m_Ack(sK6,sK4),sK0)
| ~ spl47_21
| ~ spl47_70 ),
inference(resolution,[],[f2063,f332]) ).
fof(f2065,plain,
( $false
| ~ spl47_21
| ~ spl47_70 ),
inference(forward_subsumption_resolution,[],[f2064,f354]) ).
fof(f2066,plain,
( ~ spl47_21
| ~ spl47_70 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
fof(f2081,plain,
( nbr_proc != s(index(pendack,host(sK6)))
| ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ spl47_138 ),
inference(superposition,[],[f1310,f118]) ).
fof(f2082,plain,
( ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ spl47_6
| ~ spl47_138 ),
inference(forward_subsumption_resolution,[],[f2081,f306]) ).
fof(f2083,plain,
( ~ elem(m_Down(sK5),sK0)
| ~ spl47_6
| ~ spl47_138 ),
inference(resolution,[],[f2082,f332]) ).
fof(f2084,plain,
( $false
| ~ spl47_6
| ~ spl47_138 ),
inference(forward_subsumption_resolution,[],[f2083,f316]) ).
fof(f2085,plain,
( ~ spl47_6
| ~ spl47_138 ),
inference(avatar_contradiction_clause,[],[f2084]) ).
cnf(s1,plain,
( spl47_1
| spl47_2 ),
inference(sat_conversion,[],[f270]) ).
cnf(s2,plain,
( ~ spl47_1
| spl47_3 ),
inference(sat_conversion,[],[f274]) ).
cnf(s3,plain,
( spl47_4
| ~ spl47_5 ),
inference(sat_conversion,[],[f299]) ).
cnf(s5,plain,
( spl47_5
| spl47_6 ),
inference(sat_conversion,[],[f313]) ).
cnf(s27,plain,
~ spl47_4,
inference(sat_conversion,[],[f610]) ).
cnf(s29,plain,
spl47_21,
inference(sat_conversion,[],[f621]) ).
cnf(s43,plain,
~ spl47_2,
inference(sat_conversion,[],[f769]) ).
cnf(s52,plain,
( ~ spl47_21
| spl47_70
| spl47_71 ),
inference(sat_conversion,[],[f864]) ).
cnf(s86,plain,
( ~ spl47_3
| ~ spl47_6
| ~ spl47_21
| ~ spl47_71
| spl47_138 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s106,plain,
( ~ spl47_21
| ~ spl47_70 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s107,plain,
( ~ spl47_6
| ~ spl47_138 ),
inference(sat_conversion,[],[f2085]) ).
cnf(s114,plain,
~ spl47_70,
inference(rat,[],[s106,s29]) ).
cnf(s115,plain,
spl47_71,
inference(rat,[],[s52,s29,s114]) ).
cnf(s117,plain,
~ spl47_5,
inference(rat,[],[s3,s27]) ).
cnf(s118,plain,
spl47_6,
inference(rat,[],[s5,s117]) ).
cnf(s119,plain,
~ spl47_138,
inference(rat,[],[s107,s118]) ).
cnf(s121,plain,
~ spl47_3,
inference(rat,[],[s86,s119,s115,s29,s118]) ).
cnf(s127,plain,
~ spl47_1,
inference(rat,[],[s2,s121]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s1,s43,s127]) ).
fof(f2086,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV465+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 11:05:28 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/0.89 % (3480399)Detected formulas, will run a generic FOF schedule.
% 2.54/0.89 % (3480410)dis-21_1_sil=8000:lcm=predicate:random_seed=3520493048: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)
% 2.54/0.89 % (3480408)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=939096824:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/0.89 % (3480409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3060319136:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/0.89 % (3480405)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=3716500992:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/0.89 % (3480404)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=974310209:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/0.89 % (3480407)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2586639073:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/0.89 % (3480406)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=2896504095:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/0.89 % (3480410)Instruction limit reached!
% 2.54/0.89 % (3480410)------------------------------
% 2.54/0.89 % (3480410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/0.89 % (3480410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.89 % (3480410)CaDiCaL version: 2.1.3
% 2.54/0.89 % (3480410)Termination reason: Instruction limit
% 2.54/0.89 % (3480410)Termination phase: Saturation
% 2.54/0.89 % (3480410)Time elapsed: 0.045 s
% 2.54/0.89 % (3480410)Peak memory usage: 89 MB
% 2.54/0.89 % (3480410)Instructions burned: 132 (million)
% 2.54/0.89 % (3480407)First to succeed.
% 2.54/0.89 % (3480407)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3480399"
% 2.54/0.89 % (3480409)Also succeeded, but the first one will report.
% 2.54/0.89 % (3480408)Instruction limit reached!
% 2.54/0.89 % (3480408)------------------------------
% 2.54/0.89 % (3480408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/0.89 % (3480408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.89 % (3480408)CaDiCaL version: 2.1.3
% 2.54/0.89 % (3480408)Termination reason: Instruction limit
% 2.54/0.89 % (3480408)Termination phase: Saturation
% 2.54/0.89 % (3480408)Time elapsed: 0.073 s
% 2.54/0.89 % (3480408)Peak memory usage: 88 MB
% 2.54/0.89 % (3480408)Instructions burned: 120 (million)
% 2.54/0.89 % (3480418)lrs+10_1_sil=8000:sp=occurrence:random_seed=856729672:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.54/0.89 % (3480418)Also succeeded, but the first one will report.
% 2.54/0.89 % (3480419)lrs+10_1_sil=32000:urr=on:br=off:random_seed=799825816:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.54/0.89 % (3480419)Also succeeded, but the first one will report.
% 2.54/0.89 % (3480407)Refutation found. Thanks to Tanya!
% 2.54/0.89 % SZS status Theorem for theBenchmark
% 2.54/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.09 % (3480407)------------------------------
% 3.69/1.09 % (3480407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.09 % (3480407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.09 % (3480407)CaDiCaL version: 2.1.3
% 3.69/1.09 % (3480407)Termination reason: Refutation
% 3.69/1.09 % (3480407)Time elapsed: 0.041 s
% 3.69/1.09 % (3480407)Peak memory usage: 90 MB
% 3.69/1.09 % (3480407)Instructions burned: 61 (million)
% 3.69/1.09 % (3480407)------------------------------
% 3.69/1.09 % (3480407)------------------------------
% 3.69/1.09 % (3480399)Success in time 0.468 s
% 3.69/1.09 % Vampire exiting
%------------------------------------------------------------------------------