%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV468+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:15:53 PM UTC 2026
% Result : Theorem 3.71s 1.16s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 74 ( 26 unt; 3 def)
% Number of atoms : 921 ( 382 equ)
% Maximal formula atoms : 109 ( 12 avg)
% Number of connectives : 1352 ( 505 ~; 384 |; 374 &)
% ( 5 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 360 ( 2 sgn 339 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
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(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [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] :
( ( ~ leq(host(X5),host(X4))
& setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Down(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,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] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(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_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( leq(nbr_proc,host(X2))
=> ! [X4] :
( ~ setIn(host(X4),setEmpty)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( ~ leq(index(pendack,host(X8)),host(X7))
& setIn(X8,alive)
& index(status,host(X8)) = elec_2 )
=> ~ ( setIn(X7,alive)
& host(X2) = host(X7) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [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] :
( ( ~ leq(host(X5),host(X4))
& setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Down(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,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] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(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_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( leq(nbr_proc,host(X2))
=> ! [X4] :
( ~ setIn(host(X4),setEmpty)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( ~ leq(index(pendack,host(X8)),host(X7))
& setIn(X8,alive)
& index(status,host(X8)) = elec_2 )
=> ~ ( setIn(X7,alive)
& host(X2) = host(X7) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( ( X6 != X7
& host(X6) = host(X7) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) )
& ! [X8,X9] :
( ( setIn(X9,alive)
& elec_2 = index(status,host(X9)) )
=> ~ elem(m_Ack(X8,X9),queue(host(X8))) )
& ! [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] :
( ( ~ leq(host(X17),host(X15))
& setIn(X15,alive)
& setIn(X17,alive)
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> ~ elem(m_Down(X16),queue(host(X15))) )
& ! [X18,X19] :
( ( ~ leq(host(X18),host(X19))
& setIn(X18,alive)
& setIn(X19,alive)
& elec_2 = index(status,host(X18))
& elec_2 = index(status,host(X19)) )
=> leq(index(pendack,host(X19)),host(X18)) )
& ! [X20,X21,X22] :
( ( setIn(X22,alive)
& elem(m_Ack(X22,X21),queue(host(X22)))
& host(X20) = host(X21) )
=> ~ ( setIn(X20,alive)
& host(X20) = index(ldr,host(X20))
& norm = index(status,host(X20)) ) )
& ! [X23,X24,X25] :
( ( setIn(X23,alive)
& setIn(X25,alive)
& host(X25) = host(X24)
& elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X25)) )
=> ~ elem(m_Ack(X23,X24),queue(host(X23))) )
& ! [X26,X27,X28] :
( ( setIn(X26,alive)
& setIn(X28,alive)
& elem(m_Down(X27),queue(host(X26)))
& host(X28) = host(X27)
& elec_2 = index(status,host(X28)) )
=> leq(index(pendack,host(X28)),host(X26)) )
& ! [X29,X30,X31] :
( ( setIn(X31,alive)
& host(X31) = host(X30)
& norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31)) )
=> ~ ( setIn(X29,alive)
& elem(m_Down(X30),queue(host(X29))) ) )
& ! [X32,X33] :
( ( ~ leq(index(pendack,host(X33)),host(X32))
& setIn(X33,alive)
& elec_2 = index(status,host(X33)) )
=> ~ ( setIn(X32,alive)
& host(X32) = index(ldr,host(X32))
& norm = index(status,host(X32)) ) )
& ! [X34,X35] :
( ( ~ leq(host(X34),host(X35))
& setIn(X34,alive)
& setIn(X35,alive)
& elec_2 = index(status,host(X34))
& elec_2 = index(status,host(X35)) )
=> ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X36,X37,X38] :
( ( setIn(X38,alive)
& elem(m_Down(X37),queue(host(X38)))
& host(X36) = host(X37)
& elec_2 = index(status,host(X38)) )
=> ~ ( setIn(X36,alive)
& host(X36) = index(ldr,host(X36))
& norm = index(status,host(X36)) ) )
& ! [X39,X40,X41] :
( ( ! [X42] :
( ( ~ leq(host(X41),X42)
& leq(s(zero),X42) )
=> ( setIn(X42,index(down,host(X41)))
| host(X40) = X42 ) )
& ~ leq(host(X41),host(X39))
& elem(m_Down(X40),queue(host(X41)))
& elec_1 = index(status,host(X41)) )
=> ~ ( setIn(X39,alive)
& host(X39) = index(ldr,host(X39))
& norm = index(status,host(X39)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X43] :
( ( ~ leq(host(X2),X43)
& leq(s(zero),X43) )
=> ( setIn(X43,index(down,host(X2)))
| host(X3) = X43 ) )
& index(status,host(X2)) = elec_1 )
=> ( leq(nbr_proc,host(X2))
=> ! [X44] :
( ~ setIn(host(X44),setEmpty)
=> ! [X45] :
( host(X2) = host(X45)
=> ! [X46] :
( host(X2) != host(X46)
=> ( ( ~ leq(index(pendack,host(X46)),host(X45))
& setIn(X46,alive)
& elec_2 = index(status,host(X46)) )
=> ~ ( setIn(X45,alive)
& host(X2) = host(X45) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( setIn(X45,alive)
& host(X2) = host(X45)
& ~ leq(index(pendack,host(X46)),host(X45))
& setIn(X46,alive)
& elec_2 = index(status,host(X46))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& leq(nbr_proc,host(X2))
& ! [X43] :
( setIn(X43,index(down,host(X2)))
| host(X3) = X43
| leq(host(X2),X43)
| ~ leq(s(zero),X43) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) )
& ! [X8,X9] :
( ~ elem(m_Ack(X8,X9),queue(host(X8)))
| ~ setIn(X9,alive)
| elec_2 != index(status,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] :
( ~ elem(m_Down(X16),queue(host(X15)))
| leq(host(X17),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( leq(index(pendack,host(X19)),host(X18))
| leq(host(X18),host(X19))
| ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| elec_2 != index(status,host(X18))
| elec_2 != index(status,host(X19)) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| ~ setIn(X23,alive)
| ~ setIn(X25,alive)
| host(X25) != host(X24)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X25)) )
& ! [X26,X27,X28] :
( leq(index(pendack,host(X28)),host(X26))
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Down(X27),queue(host(X26)))
| host(X28) != host(X27)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| host(X31) != host(X30)
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31)) )
& ! [X32,X33] :
( ~ setIn(X32,alive)
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| leq(index(pendack,host(X33)),host(X32))
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X33)) )
& ! [X34,X35] :
( ~ leq(index(pendack,host(X34)),index(pendack,host(X35)))
| leq(host(X34),host(X35))
| ~ setIn(X34,alive)
| ~ setIn(X35,alive)
| elec_2 != index(status,host(X34))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X38,alive)
| ~ elem(m_Down(X37),queue(host(X38)))
| host(X36) != host(X37)
| elec_2 != index(status,host(X38)) )
& ! [X39,X40,X41] :
( ~ setIn(X39,alive)
| host(X39) != index(ldr,host(X39))
| norm != index(status,host(X39))
| ? [X42] :
( ~ setIn(X42,index(down,host(X41)))
& host(X40) != X42
& ~ leq(host(X41),X42)
& leq(s(zero),X42) )
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( setIn(X45,alive)
& host(X2) = host(X45)
& ~ leq(index(pendack,host(X46)),host(X45))
& setIn(X46,alive)
& elec_2 = index(status,host(X46))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& leq(nbr_proc,host(X2))
& ! [X43] :
( setIn(X43,index(down,host(X2)))
| host(X3) = X43
| leq(host(X2),X43)
| ~ leq(s(zero),X43) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) )
& ! [X8,X9] :
( ~ elem(m_Ack(X8,X9),queue(host(X8)))
| ~ setIn(X9,alive)
| elec_2 != index(status,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] :
( ~ elem(m_Down(X16),queue(host(X15)))
| leq(host(X17),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( leq(index(pendack,host(X19)),host(X18))
| leq(host(X18),host(X19))
| ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| elec_2 != index(status,host(X18))
| elec_2 != index(status,host(X19)) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| ~ setIn(X23,alive)
| ~ setIn(X25,alive)
| host(X25) != host(X24)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X25)) )
& ! [X26,X27,X28] :
( leq(index(pendack,host(X28)),host(X26))
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Down(X27),queue(host(X26)))
| host(X28) != host(X27)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| host(X31) != host(X30)
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31)) )
& ! [X32,X33] :
( ~ setIn(X32,alive)
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| leq(index(pendack,host(X33)),host(X32))
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X33)) )
& ! [X34,X35] :
( ~ leq(index(pendack,host(X34)),index(pendack,host(X35)))
| leq(host(X34),host(X35))
| ~ setIn(X34,alive)
| ~ setIn(X35,alive)
| elec_2 != index(status,host(X34))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X38,alive)
| ~ elem(m_Down(X37),queue(host(X38)))
| host(X36) != host(X37)
| elec_2 != index(status,host(X38)) )
& ! [X39,X40,X41] :
( ~ setIn(X39,alive)
| host(X39) != index(ldr,host(X39))
| norm != index(status,host(X39))
| ? [X42] :
( ~ setIn(X42,index(down,host(X41)))
& host(X40) != X42
& ~ leq(host(X41),X42)
& leq(s(zero),X42) )
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(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(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( setIn(X4,alive)
& host(X1) = host(X4)
& ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elec_2 = index(status,host(X5))
& host(X1) != host(X5) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(X1))
& ! [X6] :
( setIn(X6,index(down,host(X1)))
| host(X2) = X6
| leq(host(X1),X6)
| ~ leq(s(zero),X6) )
& elec_1 = index(status,host(X1))
& ( host(X2) != index(ldr,host(X1))
| norm != index(status,host(X1)) )
& ( wait != index(status,host(X1))
| host(X2) != host(index(elid,host(X1))) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( ~ setIn(X9,alive)
| ~ setIn(X10,alive)
| X9 = X10
| host(X9) != host(X10) )
& ! [X11,X12] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X12)) )
& ! [X13] :
( index(elid,host(X13)) = X13
| ( elec_1 != index(status,host(X13))
& elec_2 != index(status,host(X13)) )
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| ~ setIn(host(X15),index(down,host(X14)))
| elec_2 != index(status,host(X15)) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| ~ setIn(X17,alive)
| norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| leq(host(X20),host(X18))
| ~ setIn(X18,alive)
| ~ setIn(X20,alive)
| host(X19) != host(X20)
| elec_2 != index(status,host(X20)) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| leq(host(X21),host(X22))
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X25,alive)
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28] :
( ~ elem(m_Ack(X26,X27),queue(host(X26)))
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X27)
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( leq(index(pendack,host(X31)),host(X29))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| host(X31) != host(X30)
| elec_2 != index(status,host(X31)) )
& ! [X32,X33,X34] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X34,alive)
| host(X33) != host(X34)
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34)) )
& ! [X35,X36] :
( ~ setIn(X35,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| leq(index(pendack,host(X36)),host(X35))
| ~ setIn(X36,alive)
| elec_2 != index(status,host(X36)) )
& ! [X37,X38] :
( ~ leq(index(pendack,host(X37)),index(pendack,host(X38)))
| leq(host(X37),host(X38))
| ~ setIn(X37,alive)
| ~ setIn(X38,alive)
| elec_2 != index(status,host(X37))
| elec_2 != index(status,host(X38)) )
& ! [X39,X40,X41] :
( ~ setIn(X39,alive)
| host(X39) != index(ldr,host(X39))
| norm != index(status,host(X39))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| host(X40) != host(X39)
| elec_2 != index(status,host(X41)) )
& ! [X42,X43,X44] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ? [X45] :
( ~ setIn(X45,index(down,host(X44)))
& host(X43) != X45
& ~ leq(host(X44),X45)
& leq(s(zero),X45) )
| leq(host(X44),host(X42))
| ~ elem(m_Down(X43),queue(host(X44)))
| elec_1 != index(status,host(X44)) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK7,alive)
& host(sK4) = host(sK7)
& ~ leq(index(pendack,host(sK8)),host(sK7))
& setIn(sK8,alive)
& elec_2 = index(status,host(sK8))
& host(sK4) != host(sK8)
& host(sK4) = host(sK7)
& ~ setIn(host(sK6),setEmpty)
& leq(nbr_proc,host(sK4))
& ! [X6] :
( setIn(X6,index(down,host(sK4)))
| host(sK5) = X6
| leq(host(sK4),X6)
| ~ leq(s(zero),X6) )
& elec_1 = index(status,host(sK4))
& ( host(sK5) != index(ldr,host(sK4))
| norm != index(status,host(sK4)) )
& ( wait != index(status,host(sK4))
| host(sK5) != host(index(elid,host(sK4))) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( ~ setIn(X9,alive)
| ~ setIn(X10,alive)
| X9 = X10
| host(X9) != host(X10) )
& ! [X11,X12] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X12)) )
& ! [X13] :
( index(elid,host(X13)) = X13
| ( elec_1 != index(status,host(X13))
& elec_2 != index(status,host(X13)) )
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| ~ setIn(host(X15),index(down,host(X14)))
| elec_2 != index(status,host(X15)) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| ~ setIn(X17,alive)
| norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| leq(host(X20),host(X18))
| ~ setIn(X18,alive)
| ~ setIn(X20,alive)
| host(X19) != host(X20)
| elec_2 != index(status,host(X20)) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| leq(host(X21),host(X22))
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X25,alive)
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28] :
( ~ elem(m_Ack(X26,X27),queue(host(X26)))
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X27)
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( leq(index(pendack,host(X31)),host(X29))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| host(X31) != host(X30)
| elec_2 != index(status,host(X31)) )
& ! [X32,X33,X34] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X34,alive)
| host(X33) != host(X34)
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34)) )
& ! [X35,X36] :
( ~ setIn(X35,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| leq(index(pendack,host(X36)),host(X35))
| ~ setIn(X36,alive)
| elec_2 != index(status,host(X36)) )
& ! [X37,X38] :
( ~ leq(index(pendack,host(X37)),index(pendack,host(X38)))
| leq(host(X37),host(X38))
| ~ setIn(X37,alive)
| ~ setIn(X38,alive)
| elec_2 != index(status,host(X37))
| elec_2 != index(status,host(X38)) )
& ! [X39,X40,X41] :
( ~ setIn(X39,alive)
| host(X39) != index(ldr,host(X39))
| norm != index(status,host(X39))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| host(X40) != host(X39)
| elec_2 != index(status,host(X41)) )
& ! [X42,X43,X44] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ( ~ setIn(sK9(X43,X44),index(down,host(X44)))
& host(X43) != sK9(X43,X44)
& ~ leq(host(X44),sK9(X43,X44))
& leq(s(zero),sK9(X43,X44)) )
| leq(host(X44),host(X42))
| ~ elem(m_Down(X43),queue(host(X44)))
| elec_1 != index(status,host(X44)) )
& queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X45,sK9(X43,X44))],[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(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
! [X31,X29,X30] :
( ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| leq(index(pendack,host(X31)),host(X29))
| host(X31) != host(X30)
| elec_2 != index(status,host(X31)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f225,plain,
! [X14,X15] :
( ~ setIn(host(X15),index(down,host(X14)))
| ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
! [X6] :
( ~ leq(s(zero),X6)
| host(sK5) = X6
| leq(host(sK4),X6)
| setIn(X6,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
leq(nbr_proc,host(sK4)),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
host(sK4) != host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
elec_2 = index(status,host(sK8)),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f243,plain,
~ leq(index(pendack,host(sK8)),host(sK7)),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f252,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f277,plain,
~ leq(index(pendack,host(sK8)),host(sK4)),
inference(forward_demodulation,[],[f243,f239]) ).
fof(f337,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK4)))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4))
| elec_2 != index(status,host(X0)) ),
inference(superposition,[],[f225,f239]) ).
fof(f338,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK4)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4))
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f337,f245]) ).
fof(f344,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(sK4))
| host(X0) != host(X1)
| elec_2 != index(status,host(X1)) ),
inference(superposition,[],[f219,f239]) ).
fof(f345,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(sK4))
| host(X0) != host(X1)
| elec_2 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f344,f245]) ).
fof(f407,plain,
! [X0] :
( leq(host(sK4),host(X0))
| host(X0) = host(sK5)
| setIn(host(X0),index(down,host(sK4))) ),
inference(resolution,[],[f117,f236]) ).
fof(f412,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f252,f210]) ).
fof(f413,plain,
! [X0] :
( leq(index(pendack,host(X0)),host(sK4))
| ~ setIn(X0,alive)
| host(X0) != host(sK5)
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f412,f345]) ).
fof(f420,plain,
( ~ setIn(sK8,alive)
| host(sK8) != host(sK5)
| elec_2 != index(status,host(sK8)) ),
inference(resolution,[],[f413,f277]) ).
fof(f422,plain,
( host(sK8) != host(sK5)
| elec_2 != index(status,host(sK8)) ),
inference(forward_subsumption_resolution,[],[f420,f242]) ).
fof(f423,plain,
host(sK8) != host(sK5),
inference(forward_subsumption_resolution,[],[f422,f241]) ).
fof(f506,plain,
( nbr_proc = host(sK4)
| ~ leq(host(sK4),nbr_proc) ),
inference(resolution,[],[f200,f237]) ).
fof(f515,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f200,f119]) ).
fof(f527,plain,
nbr_proc = host(sK4),
inference(forward_subsumption_resolution,[],[f506,f119]) ).
fof(f533,plain,
~ leq(index(pendack,host(sK8)),nbr_proc),
inference(superposition,[],[f277,f527]) ).
fof(f537,plain,
! [X0] :
( ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,nbr_proc))
| leq(index(pendack,host(X0)),nbr_proc)
| elec_2 != index(status,host(X0)) ),
inference(superposition,[],[f338,f527]) ).
fof(f542,plain,
! [X0] :
( setIn(host(X0),index(down,nbr_proc))
| host(X0) = host(sK5)
| leq(nbr_proc,host(X0)) ),
inference(superposition,[],[f407,f527]) ).
fof(f615,definition,
( spl10_27
<=> leq(nbr_proc,host(sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_27])],[avatar_definition]) ).
fof(f617,plain,
( leq(nbr_proc,host(sK8))
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f625,definition,
( spl10_29
<=> leq(index(pendack,host(sK8)),nbr_proc) ),
introduced(definition,[new_symbols(definition,[spl10_29])],[avatar_definition]) ).
fof(f626,plain,
( ~ leq(index(pendack,host(sK8)),nbr_proc)
| spl10_29 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f901,plain,
~ spl10_29,
inference(avatar_split_clause,[],[f533,f625]) ).
fof(f2929,plain,
( ~ setIn(host(sK8),index(down,nbr_proc))
| leq(index(pendack,host(sK8)),nbr_proc)
| elec_2 != index(status,host(sK8)) ),
inference(resolution,[],[f537,f242]) ).
fof(f2932,plain,
( ~ setIn(host(sK8),index(down,nbr_proc))
| elec_2 != index(status,host(sK8))
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f2929,f626]) ).
fof(f2935,plain,
( ~ setIn(host(sK8),index(down,nbr_proc))
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f2932,f241]) ).
fof(f2946,plain,
( host(sK8) = host(sK5)
| leq(nbr_proc,host(sK8))
| spl10_29 ),
inference(resolution,[],[f2935,f542]) ).
fof(f2953,plain,
( leq(nbr_proc,host(sK8))
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f2946,f423]) ).
fof(f2972,plain,
( spl10_27
| spl10_29 ),
inference(avatar_split_clause,[],[f2953,f625,f615]) ).
fof(f2983,plain,
( nbr_proc = host(sK8)
| ~ spl10_27 ),
inference(resolution,[],[f617,f515]) ).
fof(f2989,definition,
( spl10_153
<=> nbr_proc = host(sK8) ),
introduced(definition,[new_symbols(definition,[spl10_153])],[avatar_definition]) ).
fof(f2991,plain,
( nbr_proc = host(sK8)
| ~ spl10_153 ),
inference(avatar_component_clause,[],[f2989]) ).
fof(f3005,plain,
( spl10_153
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f2983,f615,f2989]) ).
fof(f3012,plain,
( nbr_proc != host(sK4)
| ~ spl10_153 ),
inference(superposition,[],[f240,f2991]) ).
fof(f3105,plain,
( $false
| ~ spl10_153 ),
inference(forward_subsumption_resolution,[],[f3012,f527]) ).
fof(f3106,plain,
~ spl10_153,
inference(avatar_contradiction_clause,[],[f3105]) ).
cnf(s38,plain,
~ spl10_29,
inference(sat_conversion,[],[f901]) ).
cnf(s208,plain,
( spl10_27
| spl10_29 ),
inference(sat_conversion,[],[f2972]) ).
cnf(s212,plain,
( ~ spl10_27
| spl10_153 ),
inference(sat_conversion,[],[f3005]) ).
cnf(s219,plain,
~ spl10_153,
inference(sat_conversion,[],[f3106]) ).
cnf(s221,plain,
~ spl10_27,
inference(rat,[],[s212,s219]) ).
cnf(s222,plain,
spl10_29,
inference(rat,[],[s208,s221]) ).
cnf(s234,plain,
$false,
inference(rat,[],[s38,s222]) ).
fof(f3120,plain,
$false,
inference(avatar_sat_refutation,[],[s234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 11:09:55 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.71/1.16 % (3892216)Detected formulas, will run a generic FOF schedule.
% 3.71/1.16 % (3892225)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1010344846:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.71/1.16 % (3892225)Instruction limit reached!
% 3.71/1.16 % (3892225)------------------------------
% 3.71/1.16 % (3892225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.16 % (3892225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.16 % (3892225)CaDiCaL version: 2.1.3
% 3.71/1.16 % (3892225)Termination reason: Instruction limit
% 3.71/1.16 % (3892225)Termination phase: Saturation
% 3.71/1.16 % (3892225)Time elapsed: 0.038 s
% 3.71/1.16 % (3892225)Peak memory usage: 89 MB
% 3.71/1.16 % (3892225)Instructions burned: 110 (million)
% 3.71/1.16 % (3892228)dis-21_1_sil=8000:lcm=predicate:random_seed=2734038510:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.71/1.16 % (3892226)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2190183302:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.71/1.16 % (3892222)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=3880090728:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.71/1.16 % (3892224)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=2847077405:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.71/1.16 % (3892227)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=767282300:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.71/1.16 % (3892223)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=1886429916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.71/1.16 % (3892226)Instruction limit reached!
% 3.71/1.16 % (3892226)------------------------------
% 3.71/1.16 % (3892226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.16 % (3892226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.16 % (3892226)CaDiCaL version: 2.1.3
% 3.71/1.16 % (3892226)Termination reason: Instruction limit
% 3.71/1.16 % (3892226)Termination phase: Saturation
% 3.71/1.16 % (3892226)Time elapsed: 0.070 s
% 3.71/1.16 % (3892226)Peak memory usage: 88 MB
% 3.71/1.16 % (3892226)Instructions burned: 120 (million)
% 3.71/1.16 % (3892227)First to succeed.
% 3.71/1.16 % (3892227)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3892216"
% 3.71/1.16 % (3892228)Instruction limit reached!
% 3.71/1.16 % (3892228)------------------------------
% 3.71/1.16 % (3892228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.16 % (3892228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.16 % (3892228)CaDiCaL version: 2.1.3
% 3.71/1.16 % (3892228)Termination reason: Instruction limit
% 3.71/1.16 % (3892228)Termination phase: Saturation
% 3.71/1.16 % (3892228)Time elapsed: 0.084 s
% 3.71/1.16 % (3892228)Peak memory usage: 89 MB
% 3.71/1.16 % (3892228)Instructions burned: 130 (million)
% 3.71/1.16 % (3892230)lrs+10_1_sil=8000:sp=occurrence:random_seed=4084840123:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.71/1.16 % (3892230)Instruction limit reached!
% 3.71/1.16 % (3892230)------------------------------
% 3.71/1.16 % (3892230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.16 % (3892230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.16 % (3892230)CaDiCaL version: 2.1.3
% 3.71/1.16 % (3892230)Termination reason: Instruction limit
% 3.71/1.16 % (3892230)Termination phase: Saturation
% 3.71/1.16 % (3892230)Time elapsed: 0.098 s
% 3.71/1.16 % (3892230)Peak memory usage: 91 MB
% 3.71/1.16 % (3892230)Instructions burned: 287 (million)
% 3.71/1.16 % (3892237)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1036834003:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.71/1.16 % (3892237)Also succeeded, but the first one will report.
% 3.71/1.16 % (3892238)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2471986356:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.71/1.16 % (3892238)Also succeeded, but the first one will report.
% 3.71/1.16 % (3892227)Refutation found. Thanks to Tanya!
% 3.71/1.16 % SZS status Theorem for theBenchmark
% 3.71/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 4.19/1.36 % (3892227)------------------------------
% 4.19/1.36 % (3892227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.36 % (3892227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.36 % (3892227)CaDiCaL version: 2.1.3
% 4.19/1.36 % (3892227)Termination reason: Refutation
% 4.19/1.36 % (3892227)Time elapsed: 0.080 s
% 4.19/1.36 % (3892227)Peak memory usage: 91 MB
% 4.19/1.36 % (3892227)Instructions burned: 112 (million)
% 4.19/1.36 % (3892227)------------------------------
% 4.19/1.36 % (3892227)------------------------------
% 4.19/1.36 % (3892216)Success in time 0.508 s
% 4.19/1.36 % Vampire exiting
%------------------------------------------------------------------------------