%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV459+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:15:52 PM UTC 2026
% Result : Theorem 2.66s 0.87s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 83 ( 22 unt; 0 def)
% Number of atoms : 948 ( 402 equ)
% Maximal formula atoms : 98 ( 11 avg)
% Number of connectives : 1404 ( 539 ~; 425 |; 353 &)
% ( 3 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 390 ( 369 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
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(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f61,axiom,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
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] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( ~ setIn(X4,alive)
& leq(X5,X4)
& host(X5) = host(X4) )
=> ~ setIn(X5,alive) )
& ! [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,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(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,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] :
( ( 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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,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] :
( host(X2) != host(X4)
=> ! [X8] :
( s(host(X2)) != host(X8)
=> ( host(X2) != host(X8)
=> ! [X9] :
( host(X2) = host(X9)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X9,alive)
& elem(m_Halt(X9),queue(host(X8))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( ~ setIn(X4,alive)
& leq(X5,X4)
& host(X5) = host(X4) )
=> ~ setIn(X5,alive) )
& ! [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,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(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,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] :
( ( 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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,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] :
( host(X2) != host(X4)
=> ! [X8] :
( s(host(X2)) != host(X8)
=> ( host(X2) != host(X8)
=> ! [X9] :
( host(X2) = host(X9)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X9,alive)
& elem(m_Halt(X9),queue(host(X8))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X7,X8] :
( elem(m_Ldr(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X9,X10] :
( elem(m_Halt(X10),queue(host(X9)))
=> ~ leq(host(X9),host(X10)) )
& ! [X11,X12,X13] :
( elem(m_Ack(X13,X11),queue(host(X12)))
=> ~ leq(host(X11),host(X13)) )
& ! [X14,X15] :
( ( ~ setIn(X14,alive)
& leq(X15,X14)
& host(X14) = host(X15) )
=> ~ setIn(X15,alive) )
& ! [X16,X17] :
( ( X16 != X17
& host(X16) = host(X17) )
=> ( ~ setIn(X16,alive)
| ~ setIn(X17,alive) ) )
& ! [X18] :
( ( ( elec_1 = index(status,host(X18))
| elec_2 = index(status,host(X18)) )
& setIn(X18,alive) )
=> index(elid,host(X18)) = X18 )
& ! [X19,X20,X21] :
( ( setIn(X21,alive)
& elem(m_Down(X20),queue(host(X21)))
& host(X19) = host(X20) )
=> ~ ( setIn(X19,alive)
& host(X19) = index(ldr,host(X19))
& norm = index(status,host(X19)) ) )
& ! [X22,X23] :
( ( ~ leq(host(X22),host(X23))
& setIn(X22,alive)
& setIn(X23,alive)
& elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X23)) )
=> leq(index(pendack,host(X23)),host(X22)) )
& ! [X24,X25,X26] :
( ( setIn(X26,alive)
& elem(m_Ack(X26,X25),queue(host(X26)))
& host(X24) = host(X25) )
=> ~ ( setIn(X24,alive)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24)) ) )
& ! [X27,X28] :
( ( ~ leq(index(pendack,host(X28)),host(X27))
& setIn(X28,alive)
& elec_2 = index(status,host(X28)) )
=> ~ ( setIn(X27,alive)
& host(X27) = index(ldr,host(X27))
& norm = index(status,host(X27)) ) )
& ! [X29,X30] :
( ( setIn(X29,alive)
& setIn(X30,alive)
& host(X29) = index(ldr,host(X29))
& norm = index(status,host(X29))
& norm = index(status,host(X30))
& host(X30) = index(ldr,host(X30)) )
=> X29 = X30 )
& ! [X31,X32] :
( ( ~ leq(host(X31),host(X32))
& setIn(X31,alive)
& setIn(X32,alive)
& elec_2 = index(status,host(X31))
& elec_2 = index(status,host(X32)) )
=> ~ leq(index(pendack,host(X31)),index(pendack,host(X32))) )
& ! [X33,X34,X35] :
( ( ~ leq(index(pendack,host(X35)),host(X33))
& setIn(X35,alive)
& elem(m_Halt(X35),queue(host(X34)))
& elec_2 = index(status,host(X35)) )
=> ~ ( setIn(X33,alive)
& host(X33) = index(ldr,host(X33))
& norm = index(status,host(X33)) ) )
& ! [X36,X37,X38] :
( ( ! [X39] :
( ( ~ leq(host(X38),X39)
& leq(s(zero),X39) )
=> ( setIn(X39,index(down,host(X38)))
| host(X37) = X39 ) )
& ~ leq(host(X38),host(X36))
& elem(m_Down(X37),queue(host(X38)))
& elec_1 = index(status,host(X38)) )
=> ~ ( setIn(X36,alive)
& host(X36) = index(ldr,host(X36))
& norm = index(status,host(X36)) ) )
& 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))) ) )
=> ( ( ! [X40] :
( ( ~ leq(host(X2),X40)
& leq(s(zero),X40) )
=> ( setIn(X40,index(down,host(X2)))
| host(X3) = X40 ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X41] :
( host(X2) != host(X41)
=> ! [X42] :
( s(host(X2)) != host(X42)
=> ( host(X2) != host(X42)
=> ! [X43] :
( host(X2) = host(X43)
=> ( ( ~ leq(s(host(X2)),host(X41))
& setIn(X43,alive)
& elem(m_Halt(X43),queue(host(X42))) )
=> ~ ( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X2,X3] :
( ? [X41] :
( ? [X42] :
( ? [X43] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& ~ leq(s(host(X2)),host(X41))
& setIn(X43,alive)
& elem(m_Halt(X43),queue(host(X42)))
& host(X2) = host(X43) )
& host(X2) != host(X42)
& s(host(X2)) != host(X42) )
& host(X2) != host(X41) )
& ~ leq(nbr_proc,host(X2))
& ! [X40] :
( setIn(X40,index(down,host(X2)))
| host(X3) = X40
| leq(host(X2),X40)
| ~ leq(s(zero),X40) )
& 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] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X5,X6] :
( ~ setIn(X6,alive)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Halt(X10),queue(host(X9))) )
& ! [X11,X12,X13] :
( ~ leq(host(X11),host(X13))
| ~ elem(m_Ack(X13,X11),queue(host(X12))) )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| setIn(X14,alive)
| ~ leq(X15,X14)
| host(X14) != host(X15) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X16) != 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,X21] :
( ~ setIn(X19,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| ~ setIn(X21,alive)
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) != host(X20) )
& ! [X22,X23] :
( leq(index(pendack,host(X23)),host(X22))
| leq(host(X22),host(X23))
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28] :
( ~ setIn(X27,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| leq(index(pendack,host(X28)),host(X27))
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30] :
( X29 = X30
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| norm != index(status,host(X30))
| host(X30) != index(ldr,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] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ? [X39] :
( ~ setIn(X39,index(down,host(X38)))
& host(X37) != X39
& ~ leq(host(X38),X39)
& leq(s(zero),X39) )
| leq(host(X38),host(X36))
| ~ elem(m_Down(X37),queue(host(X38)))
| elec_1 != index(status,host(X38)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X2,X3] :
( ? [X41] :
( ? [X42] :
( ? [X43] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& ~ leq(s(host(X2)),host(X41))
& setIn(X43,alive)
& elem(m_Halt(X43),queue(host(X42)))
& host(X2) = host(X43) )
& host(X2) != host(X42)
& s(host(X2)) != host(X42) )
& host(X2) != host(X41) )
& ~ leq(nbr_proc,host(X2))
& ! [X40] :
( setIn(X40,index(down,host(X2)))
| host(X3) = X40
| leq(host(X2),X40)
| ~ leq(s(zero),X40) )
& 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] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X5,X6] :
( ~ setIn(X6,alive)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Halt(X10),queue(host(X9))) )
& ! [X11,X12,X13] :
( ~ leq(host(X11),host(X13))
| ~ elem(m_Ack(X13,X11),queue(host(X12))) )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| setIn(X14,alive)
| ~ leq(X15,X14)
| host(X14) != host(X15) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X16) != 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,X21] :
( ~ setIn(X19,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| ~ setIn(X21,alive)
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) != host(X20) )
& ! [X22,X23] :
( leq(index(pendack,host(X23)),host(X22))
| leq(host(X22),host(X23))
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28] :
( ~ setIn(X27,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| leq(index(pendack,host(X28)),host(X27))
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30] :
( X29 = X30
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| norm != index(status,host(X30))
| host(X30) != index(ldr,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] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ? [X39] :
( ~ setIn(X39,index(down,host(X38)))
& host(X37) != X39
& ~ leq(host(X38),X39)
& leq(s(zero),X39) )
| leq(host(X38),host(X36))
| ~ elem(m_Down(X37),queue(host(X38)))
| elec_1 != index(status,host(X38)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f70]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& ~ leq(s(host(X1)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& host(X1) = host(X5) )
& host(X1) != host(X4)
& host(X4) != s(host(X1)) )
& host(X1) != host(X3) )
& ~ 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] : leq(index(pendack,host(X7)),nbr_proc)
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ elem(m_Down(X9),queue(host(X8))) )
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13] :
( ~ leq(host(X12),host(X13))
| ~ elem(m_Halt(X13),queue(host(X12))) )
& ! [X14,X15,X16] :
( ~ leq(host(X14),host(X16))
| ~ elem(m_Ack(X16,X14),queue(host(X15))) )
& ! [X17,X18] :
( ~ setIn(X18,alive)
| setIn(X17,alive)
| ~ leq(X18,X17)
| host(X17) != host(X18) )
& ! [X19,X20] :
( ~ setIn(X19,alive)
| ~ setIn(X20,alive)
| X19 = X20
| host(X19) != host(X20) )
& ! [X21] :
( index(elid,host(X21)) = X21
| ( elec_1 != index(status,host(X21))
& elec_2 != index(status,host(X21)) )
| ~ setIn(X21,alive) )
& ! [X22,X23,X24] :
( ~ setIn(X22,alive)
| host(X22) != index(ldr,host(X22))
| norm != index(status,host(X22))
| ~ setIn(X24,alive)
| ~ elem(m_Down(X23),queue(host(X24)))
| host(X22) != host(X23) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| leq(host(X25),host(X26))
| ~ setIn(X25,alive)
| ~ setIn(X26,alive)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28,X29] :
( ~ setIn(X27,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| ~ setIn(X29,alive)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| host(X28) != host(X27) )
& ! [X30,X31] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X31)),host(X30))
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X31)) )
& ! [X32,X33] :
( X32 = X33
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X33))
| host(X33) != index(ldr,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))
| leq(index(pendack,host(X38)),host(X36))
| ~ setIn(X38,alive)
| ~ elem(m_Halt(X38),queue(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(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f71]) ).
fof(f79,plain,
( setIn(sK3,alive)
& host(sK3) = index(ldr,host(sK3))
& norm = index(status,host(sK3))
& ~ leq(s(host(sK1)),host(sK3))
& setIn(sK5,alive)
& elem(m_Halt(sK5),queue(host(sK4)))
& host(sK1) = host(sK5)
& host(sK1) != host(sK4)
& s(host(sK1)) != host(sK4)
& host(sK3) != host(sK1)
& ~ leq(nbr_proc,host(sK1))
& ! [X6] :
( setIn(X6,index(down,host(sK1)))
| host(sK2) = X6
| leq(host(sK1),X6)
| ~ leq(s(zero),X6) )
& elec_1 = index(status,host(sK1))
& ( host(sK2) != index(ldr,host(sK1))
| norm != index(status,host(sK1)) )
& ( wait != index(status,host(sK1))
| host(sK2) != host(index(elid,host(sK1))) )
& ~ leq(host(sK1),host(sK2))
& setIn(sK1,alive)
& ! [X7] : leq(index(pendack,host(X7)),nbr_proc)
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ elem(m_Down(X9),queue(host(X8))) )
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13] :
( ~ leq(host(X12),host(X13))
| ~ elem(m_Halt(X13),queue(host(X12))) )
& ! [X14,X15,X16] :
( ~ leq(host(X14),host(X16))
| ~ elem(m_Ack(X16,X14),queue(host(X15))) )
& ! [X17,X18] :
( ~ setIn(X18,alive)
| setIn(X17,alive)
| ~ leq(X18,X17)
| host(X17) != host(X18) )
& ! [X19,X20] :
( ~ setIn(X19,alive)
| ~ setIn(X20,alive)
| X19 = X20
| host(X19) != host(X20) )
& ! [X21] :
( index(elid,host(X21)) = X21
| ( elec_1 != index(status,host(X21))
& elec_2 != index(status,host(X21)) )
| ~ setIn(X21,alive) )
& ! [X22,X23,X24] :
( ~ setIn(X22,alive)
| host(X22) != index(ldr,host(X22))
| norm != index(status,host(X22))
| ~ setIn(X24,alive)
| ~ elem(m_Down(X23),queue(host(X24)))
| host(X22) != host(X23) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| leq(host(X25),host(X26))
| ~ setIn(X25,alive)
| ~ setIn(X26,alive)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28,X29] :
( ~ setIn(X27,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| ~ setIn(X29,alive)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| host(X28) != host(X27) )
& ! [X30,X31] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X31)),host(X30))
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X31)) )
& ! [X32,X33] :
( X32 = X33
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X33))
| host(X33) != index(ldr,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))
| leq(index(pendack,host(X38)),host(X36))
| ~ setIn(X38,alive)
| ~ elem(m_Halt(X38),queue(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(sK6(X40,X41),index(down,host(X41)))
& host(X40) != sK6(X40,X41)
& ~ leq(host(X41),sK6(X40,X41))
& leq(s(zero),sK6(X40,X41)) )
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) )
& queue(host(sK1)) = cons(m_Down(sK2),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X42,sK6(X40,X41))],[f78]) ).
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(f92,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f93,plain,
! [X40,X41,X39] :
( host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive)
| norm != index(status,host(X39))
| leq(s(zero),sK6(X40,X41))
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f94,plain,
! [X40,X41,X39] :
( host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive)
| norm != index(status,host(X39))
| ~ leq(host(X41),sK6(X40,X41))
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f95,plain,
! [X40,X41,X39] :
( host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive)
| norm != index(status,host(X39))
| host(X40) != sK6(X40,X41)
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f96,plain,
! [X40,X41,X39] :
( host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive)
| norm != index(status,host(X39))
| ~ setIn(sK6(X40,X41),index(down,host(X41)))
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f117,plain,
elec_1 = index(status,host(sK1)),
inference(cnf_transformation,[],[f79]) ).
fof(f118,plain,
! [X6] :
( setIn(X6,index(down,host(sK1)))
| host(sK2) = X6
| leq(host(sK1),X6)
| ~ leq(s(zero),X6) ),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
host(sK1) = host(sK5),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
~ leq(s(host(sK1)),host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f128,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f129,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f139,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f143,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f146,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f147,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f148,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f179,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f139]) ).
fof(f188,plain,
host(sK3) != host(sK5),
inference(superposition,[],[f120,f123]) ).
fof(f192,plain,
elec_1 = index(status,host(sK5)),
inference(forward_demodulation,[],[f117,f123]) ).
fof(f194,plain,
~ leq(s(host(sK5)),host(sK3)),
inference(forward_demodulation,[],[f126,f123]) ).
fof(f195,plain,
cons(m_Down(sK2),sK0) = queue(host(sK5)),
inference(forward_demodulation,[],[f92,f123]) ).
fof(f242,plain,
! [X6] :
( setIn(X6,index(down,host(sK5)))
| host(sK2) = X6
| leq(host(sK1),X6)
| ~ leq(s(zero),X6) ),
inference(forward_demodulation,[],[f118,f123]) ).
fof(f243,plain,
! [X6] :
( setIn(X6,index(down,host(sK5)))
| leq(host(sK5),X6)
| host(sK2) = X6
| ~ leq(s(zero),X6) ),
inference(forward_demodulation,[],[f242,f123]) ).
fof(f318,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| leq(s(zero),sK6(X0,X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(superposition,[],[f93,f128]) ).
fof(f319,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| leq(s(zero),sK6(X0,X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(trivial_inequality_removal,[],[f318]) ).
fof(f320,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| leq(s(zero),sK6(X0,X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f319,f129]) ).
fof(f322,plain,
! [X0,X1] :
( elec_1 != index(status,host(X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| leq(s(zero),sK6(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f320,f127]) ).
fof(f326,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK5),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK5)))
| leq(s(zero),sK6(X0,sK5)) ),
inference(superposition,[],[f322,f192]) ).
fof(f327,plain,
! [X0] :
( leq(s(zero),sK6(X0,sK5))
| ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3)) ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f331,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ leq(host(X0),sK6(X1,X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| elec_1 != index(status,host(X0)) ),
inference(superposition,[],[f94,f128]) ).
fof(f332,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ leq(host(X0),sK6(X1,X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| elec_1 != index(status,host(X0)) ),
inference(trivial_inequality_removal,[],[f331]) ).
fof(f333,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| ~ leq(host(X0),sK6(X1,X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| elec_1 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f332,f129]) ).
fof(f335,plain,
! [X0,X1] :
( elec_1 != index(status,host(X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(host(X0),sK6(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f333,f127]) ).
fof(f338,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| host(X0) != sK6(X0,X1)
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(superposition,[],[f95,f128]) ).
fof(f339,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| host(X0) != sK6(X0,X1)
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(trivial_inequality_removal,[],[f338]) ).
fof(f340,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| host(X0) != sK6(X0,X1)
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f339,f129]) ).
fof(f342,plain,
! [X0,X1] :
( elec_1 != index(status,host(X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != sK6(X0,X1) ),
inference(forward_subsumption_resolution,[],[f340,f127]) ).
fof(f346,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK5),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK5)))
| ~ leq(host(sK5),sK6(X0,sK5)) ),
inference(superposition,[],[f335,f192]) ).
fof(f347,plain,
! [X0] :
( ~ leq(host(sK5),sK6(X0,sK5))
| ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3)) ),
inference(trivial_inequality_removal,[],[f346]) ).
fof(f352,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK5),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK5)))
| host(X0) != sK6(X0,sK5) ),
inference(superposition,[],[f342,f192]) ).
fof(f353,plain,
! [X0] :
( host(X0) != sK6(X0,sK5)
| ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3)) ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f358,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ setIn(sK6(X0,X1),index(down,host(X1)))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(superposition,[],[f96,f128]) ).
fof(f359,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ setIn(sK6(X0,X1),index(down,host(X1)))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(trivial_inequality_removal,[],[f358]) ).
fof(f360,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| ~ setIn(sK6(X0,X1),index(down,host(X1)))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f359,f129]) ).
fof(f362,plain,
! [X0,X1] :
( elec_1 != index(status,host(X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK6(X0,X1),index(down,host(X1))) ),
inference(forward_subsumption_resolution,[],[f360,f127]) ).
fof(f366,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK5),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK5)))
| ~ setIn(sK6(X0,sK5),index(down,host(sK5))) ),
inference(superposition,[],[f362,f192]) ).
fof(f367,plain,
! [X0] :
( ~ setIn(sK6(X0,sK5),index(down,host(sK5)))
| ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3)) ),
inference(trivial_inequality_removal,[],[f366]) ).
fof(f370,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3))
| leq(host(sK5),sK6(X0,sK5))
| host(sK2) = sK6(X0,sK5)
| ~ leq(s(zero),sK6(X0,sK5)) ),
inference(resolution,[],[f367,f243]) ).
fof(f371,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3))
| host(sK2) = sK6(X0,sK5)
| ~ leq(s(zero),sK6(X0,sK5)) ),
inference(forward_subsumption_resolution,[],[f370,f347]) ).
fof(f372,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK5)))
| leq(host(sK5),host(sK3))
| host(sK2) = sK6(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f371,f327]) ).
fof(f375,plain,
elem(m_Down(sK2),queue(host(sK5))),
inference(superposition,[],[f179,f195]) ).
fof(f376,plain,
( host(sK2) = sK6(sK2,sK5)
| leq(host(sK5),host(sK3)) ),
inference(resolution,[],[f375,f372]) ).
fof(f379,plain,
( host(sK2) != host(sK2)
| ~ elem(m_Down(sK2),queue(host(sK5)))
| leq(host(sK5),host(sK3))
| leq(host(sK5),host(sK3)) ),
inference(superposition,[],[f353,f376]) ).
fof(f384,plain,
( host(sK2) != host(sK2)
| ~ elem(m_Down(sK2),queue(host(sK5)))
| leq(host(sK5),host(sK3)) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f385,plain,
( ~ elem(m_Down(sK2),queue(host(sK5)))
| leq(host(sK5),host(sK3)) ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f387,plain,
leq(host(sK5),host(sK3)),
inference(forward_subsumption_resolution,[],[f385,f375]) ).
fof(f394,plain,
leq(host(sK3),s(host(sK5))),
inference(resolution,[],[f146,f194]) ).
fof(f452,plain,
( ~ leq(host(sK3),host(sK5))
| host(sK3) = host(sK5) ),
inference(resolution,[],[f143,f387]) ).
fof(f462,plain,
~ leq(host(sK3),host(sK5)),
inference(forward_subsumption_resolution,[],[f452,f188]) ).
fof(f496,plain,
( leq(host(sK3),host(sK5))
| host(sK3) = s(host(sK5)) ),
inference(resolution,[],[f148,f394]) ).
fof(f498,plain,
host(sK3) = s(host(sK5)),
inference(forward_subsumption_resolution,[],[f496,f462]) ).
fof(f505,plain,
~ leq(host(sK3),host(sK3)),
inference(superposition,[],[f194,f498]) ).
fof(f517,plain,
$false,
inference(forward_subsumption_resolution,[],[f505,f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV459+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 11:08:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.66/0.87 % (722408)Detected formulas, will run a generic FOF schedule.
% 2.66/0.87 % (722419)dis-21_1_sil=8000:lcm=predicate:random_seed=1526057400: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)
% 2.66/0.87 % (722419)Instruction limit reached!
% 2.66/0.87 % (722419)------------------------------
% 2.66/0.87 % (722419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/0.87 % (722419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.87 % (722419)CaDiCaL version: 2.1.3
% 2.66/0.87 % (722419)Termination reason: Instruction limit
% 2.66/0.87 % (722419)Termination phase: Saturation
% 2.66/0.87 % (722419)Time elapsed: 0.032 s
% 2.66/0.87 % (722419)Peak memory usage: 89 MB
% 2.66/0.87 % (722419)Instructions burned: 130 (million)
% 2.66/0.87 % (722418)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=829066664:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/0.87 % (722416)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1328922357:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/0.87 % (722414)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=823500778:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/0.87 % (722417)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2796773087:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/0.87 % (722413)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=3358496748:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/0.87 % (722415)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=285774076:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/0.87 % (722417)First to succeed.
% 2.66/0.87 % (722417)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-722408"
% 2.66/0.87 % (722418)Also succeeded, but the first one will report.
% 2.66/0.87 % (722416)Also succeeded, but the first one will report.
% 2.66/0.87 % (722421)lrs+10_1_sil=8000:sp=occurrence:random_seed=1470714332:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.66/0.87 % (722421)Instruction limit reached!
% 2.66/0.87 % (722421)------------------------------
% 2.66/0.87 % (722421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/0.87 % (722421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.87 % (722421)CaDiCaL version: 2.1.3
% 2.66/0.87 % (722421)Termination reason: Instruction limit
% 2.66/0.87 % (722421)Termination phase: Saturation
% 2.66/0.87 % (722421)Time elapsed: 0.098 s
% 2.66/0.87 % (722421)Peak memory usage: 91 MB
% 2.66/0.87 % (722421)Instructions burned: 286 (million)
% 2.66/0.87 % (722417)Refutation found. Thanks to Tanya!
% 2.66/0.87 % SZS status Theorem for theBenchmark
% 2.66/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.06 % (722417)------------------------------
% 3.56/1.06 % (722417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.06 % (722417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.06 % (722417)CaDiCaL version: 2.1.3
% 3.56/1.06 % (722417)Termination reason: Refutation
% 3.56/1.06 % (722417)Time elapsed: 0.017 s
% 3.56/1.06 % (722417)Peak memory usage: 88 MB
% 3.56/1.06 % (722417)Instructions burned: 28 (million)
% 3.56/1.06 % (722417)------------------------------
% 3.56/1.06 % (722417)------------------------------
% 3.56/1.06 % (722408)Success in time 0.445 s
% 3.56/1.06 % Vampire exiting
%------------------------------------------------------------------------------