%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV476+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 : n018.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 01:15:54 PM UTC 2026
% Result : Theorem 2.96s 1.12s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 105 ( 31 unt; 6 def)
% Number of atoms : 1126 ( 486 equ)
% Maximal formula atoms : 127 ( 10 avg)
% Number of connectives : 1587 ( 566 ~; 480 |; 449 &)
% ( 8 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 22 con; 0-2 aty)
% Number of variables : 415 ( 0 sgn 382 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) )
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) != host(X11)
=> ( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/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] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) )
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) != host(X11)
=> ( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,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] :
( ( X8 != X9
& host(X8) = host(X9) )
=> ( ~ setIn(X8,alive)
| ~ setIn(X9,alive) ) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( setIn(X15,alive)
& setIn(X17,alive)
& elem(m_Down(X16),queue(host(X15)))
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X18,X19,X20] :
( ( setIn(X20,alive)
& host(X20) = host(X19)
& norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20)) )
=> ~ ( setIn(X18,alive)
& elem(m_Down(X19),queue(host(X18))) ) )
& ! [X21,X22] :
( ( setIn(X21,alive)
& setIn(X22,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21))
& norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22)) )
=> X21 = X22 )
& ! [X23,X24,X25] :
( ( ~ leq(host(X24),host(X25))
& setIn(X25,alive)
& elem(m_Down(X24),queue(host(X25)))
& host(X24) = host(X23) )
=> ~ ( setIn(X23,alive)
& host(X23) = index(ldr,host(X23))
& norm = index(status,host(X23)) ) )
& ! [X26,X27,X28,X29] :
( ( host(X26) != host(X28)
& setIn(X26,alive)
& setIn(X28,alive)
& host(X26) = host(X27)
& host(X28) = host(X29) )
=> ~ ( elem(m_Down(X29),queue(host(X26)))
& elem(m_Down(X27),queue(host(X28))) ) )
& ! [X30,X31,X32,X33] :
( ( host(X30) != host(X32)
& setIn(X30,alive)
& setIn(X32,alive)
& host(X30) = host(X31)
& host(X32) = host(X33) )
=> ~ ( elem(m_Down(X33),queue(host(X30)))
& setIn(host(X31),index(down,host(X32))) ) )
& ! [X34,X35,X36] :
( ( host(X36) != host(X35)
& setIn(X36,alive)
& elem(m_Down(X34),queue(host(X36)))
& host(X35) = host(X34)
& norm = index(status,host(X36))
& host(X35) = index(ldr,host(X36)) )
=> ~ ( setIn(X35,alive)
& norm = index(status,host(X35))
& host(X35) = index(ldr,host(X35)) ) )
& ! [X37,X38,X39] :
( ( host(X39) != host(X38)
& setIn(X39,alive)
& elem(m_Down(X37),queue(host(X39)))
& host(X38) = host(X37)
& wait = index(status,host(X39))
& host(X38) = host(index(elid,host(X39))) )
=> ~ ( setIn(X38,alive)
& norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38)) ) )
& ! [X40,X41,X42,X43] :
( ( ! [X44] :
( ( ~ leq(host(X43),X44)
& leq(s(zero),X44) )
=> ( setIn(X44,index(down,host(X43)))
| host(X42) = X44 ) )
& setIn(X40,alive)
& leq(host(X40),host(X43))
& elem(m_Down(X42),queue(host(X43)))
& host(X43) = host(X41)
& elec_2 = index(status,host(X40))
& elec_1 = index(status,host(X43)) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X45,X46,X47,X48] :
( ( ! [X49] :
( ( ~ leq(host(X48),X49)
& leq(s(zero),X49) )
=> ( setIn(X49,index(down,host(X48)))
| host(X47) = X49 ) )
& setIn(X48,alive)
& leq(nbr_proc,s(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& elem(m_Down(X46),queue(host(X48)))
& s(host(X48)) = host(X46)
& elec_1 = index(status,host(X48)) )
=> ~ ( setIn(X45,alive)
& host(X45) = index(ldr,host(X45))
& norm = index(status,host(X45)) ) )
& queue(host(X2)) = cons(m_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)))
=> ! [X50] :
( ( setIn(host(X50),index(acks,host(X2)))
| host(X3) = host(X50) )
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X50) != host(X54)
=> ( host(X2) != host(X54)
=> ( ( ! [X55] :
( ( ~ leq(host(X54),X55)
& leq(s(zero),X55) )
=> ( setIn(X55,index(down,host(X54)))
| host(X53) = X55 ) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54)) )
=> ~ ( setIn(X51,alive)
& host(X2) = host(X51) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& ( setIn(host(X50),index(acks,host(X2)))
| host(X3) = host(X50) ) )
& 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] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& ( setIn(host(X50),index(acks,host(X2)))
| host(X3) = host(X50) ) )
& 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] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f110,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( setIn(X5,alive)
& host(X2) = host(X5)
& ! [X9] :
( setIn(X9,index(down,host(X8)))
| host(X7) = X9
| leq(host(X8),X9)
| ~ leq(s(zero),X9) )
& setIn(X8,alive)
& leq(nbr_proc,s(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& elem(m_Down(X7),queue(host(X8)))
& host(X6) = s(host(X8))
& elec_1 = index(status,host(X8))
& host(X2) != host(X8)
& host(X4) != host(X8) )
& host(X2) = host(X5) )
& ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,alive)
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13] :
( host(X12) != host(X13)
| ~ elem(m_Down(X13),queue(host(X12))) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X14) != host(X15) )
& ! [X16] :
( index(elid,host(X16)) = X16
| ( elec_1 != index(status,host(X16))
& elec_2 != index(status,host(X16)) )
| ~ setIn(X16,alive) )
& ! [X17,X18] :
( leq(index(pendack,host(X18)),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| ~ setIn(host(X18),index(down,host(X17)))
| elec_2 != index(status,host(X18)) )
& ! [X19,X20] :
( ~ setIn(X19,alive)
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| ~ setIn(X21,alive)
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X21)))
| host(X22) != host(X23)
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26)) )
& ! [X27,X28] :
( X27 = X28
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| leq(host(X30),host(X31))
| ~ setIn(X31,alive)
| ~ elem(m_Down(X30),queue(host(X31)))
| host(X29) != host(X30) )
& ! [X32,X33,X34,X35] :
( ~ elem(m_Down(X35),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X34)))
| host(X32) = host(X34)
| ~ setIn(X32,alive)
| ~ setIn(X34,alive)
| host(X32) != host(X33)
| host(X35) != host(X34) )
& ! [X36,X37,X38,X39] :
( ~ elem(m_Down(X39),queue(host(X36)))
| ~ setIn(host(X37),index(down,host(X38)))
| host(X36) = host(X38)
| ~ setIn(X36,alive)
| ~ setIn(X38,alive)
| host(X36) != host(X37)
| host(X39) != host(X38) )
& ! [X40,X41,X42] :
( ~ setIn(X41,alive)
| norm != index(status,host(X41))
| host(X41) != index(ldr,host(X41))
| host(X42) = host(X41)
| ~ setIn(X42,alive)
| ~ elem(m_Down(X40),queue(host(X42)))
| host(X40) != host(X41)
| norm != index(status,host(X42))
| host(X41) != index(ldr,host(X42)) )
& ! [X43,X44,X45] :
( ~ setIn(X44,alive)
| norm != index(status,host(X44))
| host(X44) != index(ldr,host(X44))
| host(X45) = host(X44)
| ~ setIn(X45,alive)
| ~ elem(m_Down(X43),queue(host(X45)))
| host(X43) != host(X44)
| wait != index(status,host(X45))
| host(X44) != host(index(elid,host(X45))) )
& ! [X46,X47,X48,X49] :
( ~ elem(m_Ack(X46,X47),queue(host(X46)))
| ? [X50] :
( ~ setIn(X50,index(down,host(X49)))
& host(X48) != X50
& ~ leq(host(X49),X50)
& leq(s(zero),X50) )
| ~ setIn(X46,alive)
| ~ leq(host(X46),host(X49))
| ~ elem(m_Down(X48),queue(host(X49)))
| host(X47) != host(X49)
| elec_2 != index(status,host(X46))
| elec_1 != index(status,host(X49)) )
& ! [X51,X52,X53,X54] :
( ~ setIn(X51,alive)
| host(X51) != index(ldr,host(X51))
| norm != index(status,host(X51))
| ? [X55] :
( ~ setIn(X55,index(down,host(X54)))
& host(X53) != X55
& ~ leq(host(X54),X55)
& leq(s(zero),X55) )
| ~ setIn(X54,alive)
| ~ leq(nbr_proc,s(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ elem(m_Down(X52),queue(host(X54)))
| s(host(X54)) != host(X52)
| elec_1 != index(status,host(X54)) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK8,alive)
& host(sK5) = host(sK8)
& ! [X9] :
( setIn(X9,index(down,host(sK11)))
| host(sK10) = X9
| leq(host(sK11),X9)
| ~ leq(s(zero),X9) )
& setIn(sK11,alive)
& leq(nbr_proc,s(host(sK11)))
& elem(m_Down(sK9),queue(host(sK11)))
& elem(m_Down(sK10),queue(host(sK11)))
& s(host(sK11)) = host(sK9)
& elec_1 = index(status,host(sK11))
& host(sK5) != host(sK11)
& host(sK11) != host(sK7)
& host(sK5) = host(sK8)
& ( setIn(host(sK7),index(acks,host(sK5)))
| host(sK7) = host(sK6) )
& leq(nbr_proc,index(pendack,host(sK5)))
& sK4 = index(elid,host(sK5))
& elec_2 = index(status,host(sK5))
& host(sK6) = index(pendack,host(sK5))
& setIn(sK5,alive)
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13] :
( host(X12) != host(X13)
| ~ elem(m_Down(X13),queue(host(X12))) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X14) != host(X15) )
& ! [X16] :
( index(elid,host(X16)) = X16
| ( elec_1 != index(status,host(X16))
& elec_2 != index(status,host(X16)) )
| ~ setIn(X16,alive) )
& ! [X17,X18] :
( leq(index(pendack,host(X18)),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| ~ setIn(host(X18),index(down,host(X17)))
| elec_2 != index(status,host(X18)) )
& ! [X19,X20] :
( ~ setIn(X19,alive)
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| ~ setIn(X21,alive)
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X21)))
| host(X22) != host(X23)
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26)) )
& ! [X27,X28] :
( X27 = X28
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| leq(host(X30),host(X31))
| ~ setIn(X31,alive)
| ~ elem(m_Down(X30),queue(host(X31)))
| host(X29) != host(X30) )
& ! [X32,X33,X34,X35] :
( ~ elem(m_Down(X35),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X34)))
| host(X32) = host(X34)
| ~ setIn(X32,alive)
| ~ setIn(X34,alive)
| host(X32) != host(X33)
| host(X35) != host(X34) )
& ! [X36,X37,X38,X39] :
( ~ elem(m_Down(X39),queue(host(X36)))
| ~ setIn(host(X37),index(down,host(X38)))
| host(X36) = host(X38)
| ~ setIn(X36,alive)
| ~ setIn(X38,alive)
| host(X36) != host(X37)
| host(X39) != host(X38) )
& ! [X40,X41,X42] :
( ~ setIn(X41,alive)
| norm != index(status,host(X41))
| host(X41) != index(ldr,host(X41))
| host(X42) = host(X41)
| ~ setIn(X42,alive)
| ~ elem(m_Down(X40),queue(host(X42)))
| host(X40) != host(X41)
| norm != index(status,host(X42))
| host(X41) != index(ldr,host(X42)) )
& ! [X43,X44,X45] :
( ~ setIn(X44,alive)
| norm != index(status,host(X44))
| host(X44) != index(ldr,host(X44))
| host(X45) = host(X44)
| ~ setIn(X45,alive)
| ~ elem(m_Down(X43),queue(host(X45)))
| host(X43) != host(X44)
| wait != index(status,host(X45))
| host(X44) != host(index(elid,host(X45))) )
& ! [X46,X47,X48,X49] :
( ~ elem(m_Ack(X46,X47),queue(host(X46)))
| ( ~ setIn(sK12(X48,X49),index(down,host(X49)))
& host(X48) != sK12(X48,X49)
& ~ leq(host(X49),sK12(X48,X49))
& leq(s(zero),sK12(X48,X49)) )
| ~ setIn(X46,alive)
| ~ leq(host(X46),host(X49))
| ~ elem(m_Down(X48),queue(host(X49)))
| host(X47) != host(X49)
| elec_2 != index(status,host(X46))
| elec_1 != index(status,host(X49)) )
& ! [X51,X52,X53,X54] :
( ~ setIn(X51,alive)
| host(X51) != index(ldr,host(X51))
| norm != index(status,host(X51))
| ( ~ setIn(sK13(X53,X54),index(down,host(X54)))
& host(X53) != sK13(X53,X54)
& ~ leq(host(X54),sK13(X53,X54))
& leq(s(zero),sK13(X53,X54)) )
| ~ setIn(X54,alive)
| ~ leq(nbr_proc,s(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ elem(m_Down(X52),queue(host(X54)))
| s(host(X54)) != host(X52)
| elec_1 != index(status,host(X54)) )
& queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X8,sK11),skolemize(X50,sK12(X48,X49)),skolemize(X55,sK13(X53,X54))],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f226,plain,
! [X21,X22,X23] :
( ~ setIn(X21,alive)
| leq(index(pendack,host(X23)),host(X21))
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X21)))
| host(X22) != host(X23)
| elec_2 != index(status,host(X23)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X18,X17] :
( ~ setIn(X17,alive)
| leq(index(pendack,host(X18)),host(X17))
| ~ setIn(X18,alive)
| ~ setIn(host(X18),index(down,host(X17)))
| elec_2 != index(status,host(X18)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
host(sK6) = index(pendack,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
host(sK5) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
host(sK5) != host(sK11),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
s(host(sK11)) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
elem(m_Down(sK10),queue(host(sK11))),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
elem(m_Down(sK9),queue(host(sK11))),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
leq(nbr_proc,s(host(sK11))),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
setIn(sK11,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f249,plain,
! [X9] :
( leq(host(sK11),X9)
| host(sK10) = X9
| setIn(X9,index(down,host(sK11)))
| ~ leq(s(zero),X9) ),
inference(cnf_transformation,[],[f113]) ).
fof(f251,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f294,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[],[f247,f244]) ).
fof(f295,plain,
leq(nbr_proc,host(sK6)),
inference(superposition,[],[f238,f235]) ).
fof(f368,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK11)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK11))
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f228,f248]) ).
fof(f374,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),queue(host(sK11)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK11))
| host(X0) != host(X1)
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f226,f248]) ).
fof(f431,plain,
( ~ setIn(host(sK5),index(down,host(sK11)))
| ~ setIn(sK8,alive)
| leq(index(pendack,host(sK5)),host(sK11))
| elec_2 != index(status,host(sK5)) ),
inference(superposition,[],[f368,f240]) ).
fof(f433,plain,
( ~ setIn(host(sK5),index(down,host(sK11)))
| leq(index(pendack,host(sK5)),host(sK11))
| elec_2 != index(status,host(sK5)) ),
inference(forward_subsumption_resolution,[],[f431,f251]) ).
fof(f434,plain,
( ~ setIn(host(sK5),index(down,host(sK11)))
| leq(index(pendack,host(sK5)),host(sK11)) ),
inference(forward_subsumption_resolution,[],[f433,f236]) ).
fof(f435,plain,
( leq(host(sK6),host(sK11))
| ~ setIn(host(sK5),index(down,host(sK11))) ),
inference(forward_demodulation,[],[f434,f235]) ).
fof(f437,definition,
( spl14_20
<=> setIn(host(sK5),index(down,host(sK11))) ),
introduced(definition,[new_symbols(definition,[spl14_20])],[avatar_definition]) ).
fof(f439,plain,
( ~ setIn(host(sK5),index(down,host(sK11)))
| spl14_20 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl14_21
<=> leq(host(sK6),host(sK11)) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
fof(f443,plain,
( leq(host(sK6),host(sK11))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
( ~ spl14_20
| spl14_21 ),
inference(avatar_split_clause,[],[f435,f441,f437]) ).
fof(f447,plain,
! [X0] :
( leq(index(pendack,host(X0)),host(sK11))
| ~ setIn(X0,alive)
| host(X0) != host(sK10)
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f374,f245]) ).
fof(f448,plain,
! [X0] :
( leq(index(pendack,host(X0)),host(sK11))
| ~ setIn(X0,alive)
| host(X0) != host(sK9)
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f374,f246]) ).
fof(f449,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| ~ setIn(sK8,alive)
| host(sK5) != host(sK10)
| elec_2 != index(status,host(sK5)) ),
inference(superposition,[],[f447,f240]) ).
fof(f453,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| host(sK5) != host(sK10)
| elec_2 != index(status,host(sK5)) ),
inference(forward_subsumption_resolution,[],[f449,f251]) ).
fof(f455,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| host(sK5) != host(sK10) ),
inference(forward_subsumption_resolution,[],[f453,f236]) ).
fof(f457,definition,
( spl14_22
<=> host(sK5) = host(sK10) ),
introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition]) ).
fof(f459,plain,
( host(sK5) != host(sK10)
| spl14_22 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,plain,
( leq(host(sK6),host(sK11))
| host(sK5) != host(sK10) ),
inference(forward_demodulation,[],[f455,f235]) ).
fof(f462,plain,
( ~ spl14_22
| spl14_21 ),
inference(avatar_split_clause,[],[f461,f441,f457]) ).
fof(f469,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| ~ setIn(sK8,alive)
| host(sK5) != host(sK9)
| elec_2 != index(status,host(sK5)) ),
inference(superposition,[],[f448,f240]) ).
fof(f473,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| host(sK5) != host(sK9)
| elec_2 != index(status,host(sK5)) ),
inference(forward_subsumption_resolution,[],[f469,f251]) ).
fof(f475,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| host(sK5) != host(sK9) ),
inference(forward_subsumption_resolution,[],[f473,f236]) ).
fof(f477,definition,
( spl14_23
<=> host(sK5) = host(sK9) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
fof(f479,plain,
( host(sK5) != host(sK9)
| spl14_23 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,plain,
( leq(host(sK6),host(sK11))
| host(sK5) != host(sK9) ),
inference(forward_demodulation,[],[f475,f235]) ).
fof(f482,plain,
( ~ spl14_23
| spl14_21 ),
inference(avatar_split_clause,[],[f481,f441,f477]) ).
fof(f510,plain,
~ leq(host(sK9),host(sK11)),
inference(superposition,[],[f197,f244]) ).
fof(f567,definition,
( spl14_27
<=> leq(host(sK5),host(sK11)) ),
introduced(definition,[new_symbols(definition,[spl14_27])],[avatar_definition]) ).
fof(f569,plain,
( ~ leq(host(sK5),host(sK11))
| spl14_27 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f611,plain,
! [X0] :
( setIn(X0,index(down,host(sK11)))
| ~ leq(X0,host(sK11))
| host(sK10) = X0
| host(sK11) = X0
| ~ leq(s(zero),X0) ),
inference(resolution,[],[f200,f249]) ).
fof(f624,plain,
( nbr_proc = host(sK9)
| ~ leq(host(sK9),nbr_proc) ),
inference(resolution,[],[f200,f294]) ).
fof(f625,plain,
( nbr_proc = host(sK6)
| ~ leq(host(sK6),nbr_proc) ),
inference(resolution,[],[f200,f295]) ).
fof(f629,plain,
nbr_proc = host(sK6),
inference(forward_subsumption_resolution,[],[f625,f119]) ).
fof(f630,plain,
nbr_proc = host(sK9),
inference(forward_subsumption_resolution,[],[f624,f119]) ).
fof(f689,definition,
( spl14_33
<=> nbr_proc = host(sK9) ),
introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).
fof(f690,plain,
( nbr_proc = host(sK9)
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f812,plain,
spl14_33,
inference(avatar_split_clause,[],[f630,f689]) ).
fof(f818,plain,
( ~ leq(nbr_proc,host(sK11))
| ~ spl14_33 ),
inference(superposition,[],[f510,f690]) ).
fof(f1174,plain,
( ~ leq(host(sK5),host(sK11))
| host(sK5) = host(sK10)
| host(sK5) = host(sK11)
| ~ leq(s(zero),host(sK5))
| spl14_20 ),
inference(resolution,[],[f611,f439]) ).
fof(f1182,plain,
( ~ leq(host(sK5),host(sK11))
| host(sK5) = host(sK11)
| ~ leq(s(zero),host(sK5))
| spl14_20
| spl14_22 ),
inference(forward_subsumption_resolution,[],[f1174,f459]) ).
fof(f1185,plain,
( ~ leq(host(sK5),host(sK11))
| ~ leq(s(zero),host(sK5))
| spl14_20
| spl14_22 ),
inference(forward_subsumption_resolution,[],[f1182,f242]) ).
fof(f1194,plain,
( ~ leq(host(sK5),host(sK11))
| spl14_20
| spl14_22 ),
inference(forward_subsumption_resolution,[],[f1185,f117]) ).
fof(f1195,plain,
( ~ spl14_27
| spl14_20
| spl14_22 ),
inference(avatar_split_clause,[],[f1194,f457,f437,f567]) ).
fof(f1196,plain,
( host(sK5) = s(host(sK11))
| ~ leq(host(sK5),s(host(sK11)))
| spl14_27 ),
inference(resolution,[],[f569,f206]) ).
fof(f1201,plain,
( host(sK5) = host(sK9)
| ~ leq(host(sK5),s(host(sK11)))
| spl14_27 ),
inference(forward_demodulation,[],[f1196,f244]) ).
fof(f1203,plain,
( ~ leq(host(sK5),s(host(sK11)))
| spl14_23
| spl14_27 ),
inference(forward_subsumption_resolution,[],[f1201,f479]) ).
fof(f1204,plain,
( ~ leq(host(sK5),host(sK9))
| spl14_23
| spl14_27 ),
inference(forward_demodulation,[],[f1203,f244]) ).
fof(f1205,plain,
( ~ leq(host(sK5),nbr_proc)
| spl14_23
| spl14_27
| ~ spl14_33 ),
inference(forward_demodulation,[],[f1204,f690]) ).
fof(f1206,plain,
( $false
| spl14_23
| spl14_27
| ~ spl14_33 ),
inference(forward_subsumption_resolution,[],[f1205,f119]) ).
fof(f1207,plain,
( spl14_23
| spl14_27
| ~ spl14_33 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1208,plain,
( leq(nbr_proc,host(sK11))
| ~ spl14_21 ),
inference(forward_demodulation,[],[f443,f629]) ).
fof(f1213,plain,
( $false
| ~ spl14_21
| ~ spl14_33 ),
inference(forward_subsumption_resolution,[],[f1208,f818]) ).
fof(f1214,plain,
( ~ spl14_21
| ~ spl14_33 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
cnf(s12,plain,
( ~ spl14_20
| spl14_21 ),
inference(sat_conversion,[],[f444]) ).
cnf(s14,plain,
( spl14_21
| ~ spl14_22 ),
inference(sat_conversion,[],[f462]) ).
cnf(s16,plain,
( spl14_21
| ~ spl14_23 ),
inference(sat_conversion,[],[f482]) ).
cnf(s42,plain,
spl14_33,
inference(sat_conversion,[],[f812]) ).
cnf(s72,plain,
( spl14_20
| spl14_22
| ~ spl14_27 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s73,plain,
( spl14_23
| spl14_27
| ~ spl14_33 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s74,plain,
( ~ spl14_21
| ~ spl14_33 ),
inference(sat_conversion,[],[f1214]) ).
cnf(s77,plain,
~ spl14_21,
inference(rat,[],[s74,s42]) ).
cnf(s83,plain,
~ spl14_23,
inference(rat,[],[s16,s77]) ).
cnf(s84,plain,
spl14_27,
inference(rat,[],[s73,s42,s83]) ).
cnf(s86,plain,
~ spl14_22,
inference(rat,[],[s14,s77]) ).
cnf(s87,plain,
spl14_20,
inference(rat,[],[s72,s84,s86]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s12,s77,s87]) ).
fof(f1225,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV476+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n018.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 11:13:25 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 2.96/1.12 % (3307380)Detected formulas, will run a generic FOF schedule.
% 2.96/1.12 % (3307385)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=2026471577:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.96/1.12 % (3307386)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=816474241:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.96/1.12 % (3307387)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=825727779:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.96/1.12 % (3307389)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=237018949:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.96/1.12 % (3307388)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2790312948:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.96/1.12 % (3307390)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=831348461:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.96/1.12 % (3307391)dis-21_1_sil=8000:lcm=predicate:random_seed=1102892592: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)
% 2.96/1.12 % (3307390)First to succeed.
% 2.96/1.12 % (3307390)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3307380"
% 2.96/1.12 % (3307388)Instruction limit reached!
% 2.96/1.12 % (3307388)------------------------------
% 2.96/1.12 % (3307388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (3307388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (3307388)CaDiCaL version: 2.1.3
% 2.96/1.12 % (3307388)Termination reason: Instruction limit
% 2.96/1.12 % (3307388)Termination phase: Saturation
% 2.96/1.12 % (3307388)Time elapsed: 0.068 s
% 2.96/1.12 % (3307388)Peak memory usage: 89 MB
% 2.96/1.12 % (3307388)Instructions burned: 110 (million)
% 2.96/1.12 % (3307389)Instruction limit reached!
% 2.96/1.12 % (3307389)------------------------------
% 2.96/1.12 % (3307389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (3307389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (3307389)CaDiCaL version: 2.1.3
% 2.96/1.12 % (3307389)Termination reason: Instruction limit
% 2.96/1.12 % (3307389)Termination phase: Saturation
% 2.96/1.12 % (3307389)Time elapsed: 0.072 s
% 2.96/1.12 % (3307389)Peak memory usage: 88 MB
% 2.96/1.12 % (3307389)Instructions burned: 120 (million)
% 2.96/1.12 % (3307391)Instruction limit reached!
% 2.96/1.12 % (3307391)------------------------------
% 2.96/1.12 % (3307391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (3307391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (3307391)CaDiCaL version: 2.1.3
% 2.96/1.12 % (3307391)Termination reason: Instruction limit
% 2.96/1.12 % (3307391)Termination phase: Saturation
% 2.96/1.12 % (3307391)Time elapsed: 0.075 s
% 2.96/1.12 % (3307391)Peak memory usage: 89 MB
% 2.96/1.12 % (3307391)Instructions burned: 130 (million)
% 2.96/1.12 % (3307399)lrs+10_1_sil=8000:sp=occurrence:random_seed=2467349189:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.96/1.12 % (3307400)lrs+10_1_sil=32000:urr=on:br=off:random_seed=928338778:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.96/1.12 % (3307401)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3282005288:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.96/1.12 % (3307400)Also succeeded, but the first one will report.
% 2.96/1.12 % (3307390)Refutation found. Thanks to Tanya!
% 2.96/1.12 % SZS status Theorem for theBenchmark
% 2.96/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.31 % (3307390)------------------------------
% 0.19/1.31 % (3307390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (3307390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (3307390)CaDiCaL version: 2.1.3
% 0.19/1.31 % (3307390)Termination reason: Refutation
% 0.19/1.31 % (3307390)Time elapsed: 0.036 s
% 0.19/1.31 % (3307390)Peak memory usage: 90 MB
% 0.19/1.31 % (3307390)Instructions burned: 56 (million)
% 0.19/1.31 % (3307390)------------------------------
% 0.19/1.31 % (3307390)------------------------------
% 0.19/1.31 % (3307380)Success in time 0.446 s
% 0.19/1.31 % Vampire exiting
%------------------------------------------------------------------------------