%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV469+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 : n015.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 0.65s 0.96s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 83 ( 22 unt; 0 def)
% Number of atoms : 1018 ( 430 equ)
% Maximal formula atoms : 108 ( 12 avg)
% Number of connectives : 1513 ( 578 ~; 477 |; 374 &)
% ( 3 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 405 ( 387 !; 18 ?)
% 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,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] :
( host(X2) != host(X4)
=> ! [X8] :
( host(X2) = host(X8)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X8,alive) )
=> ~ ( 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,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] :
( host(X2) != host(X4)
=> ! [X8] :
( host(X2) = host(X8)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X8,alive) )
=> ~ ( 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,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] :
( host(X2) != host(X44)
=> ! [X45] :
( host(X2) = host(X45)
=> ( ( ~ leq(s(host(X2)),host(X44))
& setIn(X45,alive) )
=> ~ ( setIn(X44,alive)
& host(X44) = index(ldr,host(X44))
& norm = index(status,host(X44)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( setIn(X44,alive)
& host(X44) = index(ldr,host(X44))
& norm = index(status,host(X44))
& ~ leq(s(host(X2)),host(X44))
& setIn(X45,alive)
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ 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(f71,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( setIn(X44,alive)
& host(X44) = index(ldr,host(X44))
& norm = index(status,host(X44))
& ~ leq(s(host(X2)),host(X44))
& setIn(X45,alive)
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ 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,[],[f70]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& ~ leq(s(host(X1)),host(X3))
& setIn(X4,alive)
& host(X1) = host(X4) )
& host(X1) != host(X3) )
& ~ leq(nbr_proc,host(X1))
& ! [X5] :
( setIn(X5,index(down,host(X1)))
| host(X2) = X5
| leq(host(X1),X5)
| ~ leq(s(zero),X5) )
& 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)
& ! [X6,X7] :
( ~ leq(host(X6),host(X7))
| ~ elem(m_Ldr(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10,X11] :
( ~ elem(m_Ack(X10,X11),queue(host(X10)))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X11)) )
& ! [X12] :
( index(elid,host(X12)) = X12
| ( elec_1 != index(status,host(X12))
& elec_2 != index(status,host(X12)) )
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( leq(index(pendack,host(X14)),host(X13))
| ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| elec_2 != index(status,host(X14)) )
& ! [X15,X16] :
( ~ setIn(X15,alive)
| ~ setIn(host(X16),index(down,host(X15)))
| ~ setIn(X16,alive)
| norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| leq(host(X19),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X19,alive)
| host(X18) != host(X19)
| elec_2 != index(status,host(X19)) )
& ! [X20,X21] :
( leq(index(pendack,host(X21)),host(X20))
| leq(host(X20),host(X21))
| ~ setIn(X20,alive)
| ~ setIn(X21,alive)
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X21)) )
& ! [X22,X23,X24] :
( ~ setIn(X22,alive)
| host(X22) != index(ldr,host(X22))
| norm != index(status,host(X22))
| ~ setIn(X24,alive)
| ~ elem(m_Ack(X24,X23),queue(host(X24)))
| host(X22) != host(X23) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X26) != host(X27)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29,X30] :
( leq(index(pendack,host(X30)),host(X28))
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| ~ elem(m_Down(X29),queue(host(X28)))
| host(X30) != host(X29)
| elec_2 != index(status,host(X30)) )
& ! [X31,X32,X33] :
( ~ setIn(X31,alive)
| ~ elem(m_Down(X32),queue(host(X31)))
| ~ setIn(X33,alive)
| host(X33) != host(X32)
| norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33)) )
& ! [X34,X35] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X35)),host(X34))
| ~ setIn(X35,alive)
| elec_2 != index(status,host(X35)) )
& ! [X36,X37] :
( ~ leq(index(pendack,host(X36)),index(pendack,host(X37)))
| leq(host(X36),host(X37))
| ~ setIn(X36,alive)
| ~ setIn(X37,alive)
| elec_2 != index(status,host(X36))
| elec_2 != index(status,host(X37)) )
& ! [X38,X39,X40] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X40,alive)
| ~ elem(m_Down(X39),queue(host(X40)))
| host(X38) != host(X39)
| elec_2 != index(status,host(X40)) )
& ! [X41,X42,X43] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| leq(host(X43),host(X41))
| ~ elem(m_Down(X42),queue(host(X43)))
| elec_1 != index(status,host(X43)) )
& 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(sK4,alive)
& host(sK1) = host(sK4)
& host(sK3) != host(sK1)
& ~ leq(nbr_proc,host(sK1))
& ! [X5] :
( setIn(X5,index(down,host(sK1)))
| host(sK2) = X5
| leq(host(sK1),X5)
| ~ leq(s(zero),X5) )
& 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)
& ! [X6,X7] :
( ~ leq(host(X6),host(X7))
| ~ elem(m_Ldr(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10,X11] :
( ~ elem(m_Ack(X10,X11),queue(host(X10)))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X11)) )
& ! [X12] :
( index(elid,host(X12)) = X12
| ( elec_1 != index(status,host(X12))
& elec_2 != index(status,host(X12)) )
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( leq(index(pendack,host(X14)),host(X13))
| ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| elec_2 != index(status,host(X14)) )
& ! [X15,X16] :
( ~ setIn(X15,alive)
| ~ setIn(host(X16),index(down,host(X15)))
| ~ setIn(X16,alive)
| norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| leq(host(X19),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X19,alive)
| host(X18) != host(X19)
| elec_2 != index(status,host(X19)) )
& ! [X20,X21] :
( leq(index(pendack,host(X21)),host(X20))
| leq(host(X20),host(X21))
| ~ setIn(X20,alive)
| ~ setIn(X21,alive)
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X21)) )
& ! [X22,X23,X24] :
( ~ setIn(X22,alive)
| host(X22) != index(ldr,host(X22))
| norm != index(status,host(X22))
| ~ setIn(X24,alive)
| ~ elem(m_Ack(X24,X23),queue(host(X24)))
| host(X22) != host(X23) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X26) != host(X27)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29,X30] :
( leq(index(pendack,host(X30)),host(X28))
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| ~ elem(m_Down(X29),queue(host(X28)))
| host(X30) != host(X29)
| elec_2 != index(status,host(X30)) )
& ! [X31,X32,X33] :
( ~ setIn(X31,alive)
| ~ elem(m_Down(X32),queue(host(X31)))
| ~ setIn(X33,alive)
| host(X33) != host(X32)
| norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33)) )
& ! [X34,X35] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X35)),host(X34))
| ~ setIn(X35,alive)
| elec_2 != index(status,host(X35)) )
& ! [X36,X37] :
( ~ leq(index(pendack,host(X36)),index(pendack,host(X37)))
| leq(host(X36),host(X37))
| ~ setIn(X36,alive)
| ~ setIn(X37,alive)
| elec_2 != index(status,host(X36))
| elec_2 != index(status,host(X37)) )
& ! [X38,X39,X40] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X40,alive)
| ~ elem(m_Down(X39),queue(host(X40)))
| host(X38) != host(X39)
| elec_2 != index(status,host(X40)) )
& ! [X41,X42,X43] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ( ~ setIn(sK5(X42,X43),index(down,host(X43)))
& host(X42) != sK5(X42,X43)
& ~ leq(host(X43),sK5(X42,X43))
& leq(s(zero),sK5(X42,X43)) )
| leq(host(X43),host(X41))
| ~ elem(m_Down(X42),queue(host(X43)))
| elec_1 != index(status,host(X43)) )
& queue(host(sK1)) = cons(m_Down(sK2),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X44,sK5(X42,X43))],[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,
! [X41,X42,X43] :
( host(X41) != index(ldr,host(X41))
| ~ setIn(X41,alive)
| norm != index(status,host(X41))
| leq(s(zero),sK5(X42,X43))
| leq(host(X43),host(X41))
| ~ elem(m_Down(X42),queue(host(X43)))
| elec_1 != index(status,host(X43)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f94,plain,
! [X41,X42,X43] :
( host(X41) != index(ldr,host(X41))
| ~ setIn(X41,alive)
| norm != index(status,host(X41))
| ~ leq(host(X43),sK5(X42,X43))
| leq(host(X43),host(X41))
| ~ elem(m_Down(X42),queue(host(X43)))
| elec_1 != index(status,host(X43)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f95,plain,
! [X41,X42,X43] :
( host(X41) != index(ldr,host(X41))
| ~ setIn(X41,alive)
| norm != index(status,host(X41))
| host(X42) != sK5(X42,X43)
| leq(host(X43),host(X41))
| ~ elem(m_Down(X42),queue(host(X43)))
| elec_1 != index(status,host(X43)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f96,plain,
! [X41,X42,X43] :
( host(X41) != index(ldr,host(X41))
| ~ setIn(X41,alive)
| norm != index(status,host(X41))
| ~ setIn(sK5(X42,X43),index(down,host(X43)))
| leq(host(X43),host(X41))
| ~ elem(m_Down(X42),queue(host(X43)))
| elec_1 != index(status,host(X43)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f117,plain,
elec_1 = index(status,host(sK1)),
inference(cnf_transformation,[],[f79]) ).
fof(f118,plain,
! [X5] :
( setIn(X5,index(down,host(sK1)))
| host(sK2) = X5
| leq(host(sK1),X5)
| ~ leq(s(zero),X5) ),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
host(sK1) = host(sK4),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
~ leq(s(host(sK1)),host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f135,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f142,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f143,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f144,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f176,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f135]) ).
fof(f184,plain,
host(sK3) != host(sK4),
inference(superposition,[],[f120,f121]) ).
fof(f187,plain,
elec_1 = index(status,host(sK4)),
inference(forward_demodulation,[],[f117,f121]) ).
fof(f188,plain,
~ leq(s(host(sK4)),host(sK3)),
inference(forward_demodulation,[],[f123,f121]) ).
fof(f189,plain,
cons(m_Down(sK2),sK0) = queue(host(sK4)),
inference(forward_demodulation,[],[f92,f121]) ).
fof(f235,plain,
! [X5] :
( setIn(X5,index(down,host(sK4)))
| host(sK2) = X5
| leq(host(sK1),X5)
| ~ leq(s(zero),X5) ),
inference(forward_demodulation,[],[f118,f121]) ).
fof(f236,plain,
! [X5] :
( setIn(X5,index(down,host(sK4)))
| leq(host(sK4),X5)
| host(sK2) = X5
| ~ leq(s(zero),X5) ),
inference(forward_demodulation,[],[f235,f121]) ).
fof(f329,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| leq(s(zero),sK5(X0,X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(superposition,[],[f93,f125]) ).
fof(f330,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| leq(s(zero),sK5(X0,X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(trivial_inequality_removal,[],[f329]) ).
fof(f331,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| leq(s(zero),sK5(X0,X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f330,f126]) ).
fof(f333,plain,
! [X0,X1] :
( elec_1 != index(status,host(X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| leq(s(zero),sK5(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f331,f124]) ).
fof(f337,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK4),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(s(zero),sK5(X0,sK4)) ),
inference(superposition,[],[f333,f187]) ).
fof(f338,plain,
! [X0] :
( leq(s(zero),sK5(X0,sK4))
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3)) ),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f342,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ leq(host(X0),sK5(X1,X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| elec_1 != index(status,host(X0)) ),
inference(superposition,[],[f94,f125]) ).
fof(f343,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ leq(host(X0),sK5(X1,X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| elec_1 != index(status,host(X0)) ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f344,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| ~ leq(host(X0),sK5(X1,X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| elec_1 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f343,f126]) ).
fof(f346,plain,
! [X0,X1] :
( elec_1 != index(status,host(X0))
| leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(host(X0),sK5(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f344,f124]) ).
fof(f349,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| host(X0) != sK5(X0,X1)
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(superposition,[],[f95,f125]) ).
fof(f350,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| host(X0) != sK5(X0,X1)
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(trivial_inequality_removal,[],[f349]) ).
fof(f351,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| host(X0) != sK5(X0,X1)
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f350,f126]) ).
fof(f353,plain,
! [X0,X1] :
( elec_1 != index(status,host(X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != sK5(X0,X1) ),
inference(forward_subsumption_resolution,[],[f351,f124]) ).
fof(f357,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK4),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ leq(host(sK4),sK5(X0,sK4)) ),
inference(superposition,[],[f346,f187]) ).
fof(f358,plain,
! [X0] :
( ~ leq(host(sK4),sK5(X0,sK4))
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3)) ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f363,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK4),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK4)))
| host(X0) != sK5(X0,sK4) ),
inference(superposition,[],[f353,f187]) ).
fof(f364,plain,
! [X0] :
( host(X0) != sK5(X0,sK4)
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3)) ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f369,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ setIn(sK5(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,f125]) ).
fof(f370,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| ~ setIn(sK5(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,[],[f369]) ).
fof(f371,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| ~ setIn(sK5(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,[],[f370,f126]) ).
fof(f373,plain,
! [X0,X1] :
( elec_1 != index(status,host(X1))
| leq(host(X1),host(sK3))
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK5(X0,X1),index(down,host(X1))) ),
inference(forward_subsumption_resolution,[],[f371,f124]) ).
fof(f378,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK4),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ setIn(sK5(X0,sK4),index(down,host(sK4))) ),
inference(superposition,[],[f373,f187]) ).
fof(f379,plain,
! [X0] :
( ~ setIn(sK5(X0,sK4),index(down,host(sK4)))
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3)) ),
inference(trivial_inequality_removal,[],[f378]) ).
fof(f382,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3))
| leq(host(sK4),sK5(X0,sK4))
| host(sK2) = sK5(X0,sK4)
| ~ leq(s(zero),sK5(X0,sK4)) ),
inference(resolution,[],[f379,f236]) ).
fof(f383,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3))
| host(sK2) = sK5(X0,sK4)
| ~ leq(s(zero),sK5(X0,sK4)) ),
inference(forward_subsumption_resolution,[],[f382,f358]) ).
fof(f384,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK3))
| host(sK2) = sK5(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f383,f338]) ).
fof(f386,plain,
elem(m_Down(sK2),queue(host(sK4))),
inference(superposition,[],[f176,f189]) ).
fof(f387,plain,
( host(sK2) = sK5(sK2,sK4)
| leq(host(sK4),host(sK3)) ),
inference(resolution,[],[f386,f384]) ).
fof(f389,plain,
( host(sK2) != host(sK2)
| ~ elem(m_Down(sK2),queue(host(sK4)))
| leq(host(sK4),host(sK3))
| leq(host(sK4),host(sK3)) ),
inference(superposition,[],[f364,f387]) ).
fof(f394,plain,
( host(sK2) != host(sK2)
| ~ elem(m_Down(sK2),queue(host(sK4)))
| leq(host(sK4),host(sK3)) ),
inference(duplicate_literal_removal,[],[f389]) ).
fof(f395,plain,
( ~ elem(m_Down(sK2),queue(host(sK4)))
| leq(host(sK4),host(sK3)) ),
inference(trivial_inequality_removal,[],[f394]) ).
fof(f397,plain,
leq(host(sK4),host(sK3)),
inference(forward_subsumption_resolution,[],[f395,f386]) ).
fof(f403,plain,
leq(host(sK3),s(host(sK4))),
inference(resolution,[],[f142,f188]) ).
fof(f462,plain,
( ~ leq(host(sK3),host(sK4))
| host(sK3) = host(sK4) ),
inference(resolution,[],[f139,f397]) ).
fof(f479,plain,
~ leq(host(sK3),host(sK4)),
inference(forward_subsumption_resolution,[],[f462,f184]) ).
fof(f514,plain,
( leq(host(sK3),host(sK4))
| host(sK3) = s(host(sK4)) ),
inference(resolution,[],[f144,f403]) ).
fof(f517,plain,
host(sK3) = s(host(sK4)),
inference(forward_subsumption_resolution,[],[f514,f479]) ).
fof(f524,plain,
~ leq(host(sK3),host(sK3)),
inference(superposition,[],[f188,f517]) ).
fof(f537,plain,
$false,
inference(forward_subsumption_resolution,[],[f524,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV469+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 11:13:31 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.96 % (2553390)Detected formulas, will run a generic FOF schedule.
% 0.65/0.96 % (2553399)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1780015446:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.65/0.96 % (2553399)First to succeed.
% 0.65/0.96 % (2553399)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2553390"
% 0.65/0.96 % (2553400)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1591987292:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.65/0.96 % (2553395)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=3354725567:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.65/0.96 % (2553396)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=75066360:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.65/0.96 % (2553398)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=545828218:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.65/0.96 % (2553397)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=731967909:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.65/0.96 % (2553401)dis-21_1_sil=8000:lcm=predicate:random_seed=1405867213: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)
% 0.65/0.96 % (2553398)Also succeeded, but the first one will report.
% 0.65/0.96 % (2553400)Also succeeded, but the first one will report.
% 0.65/0.96 % (2553401)Instruction limit reached!
% 0.65/0.96 % (2553401)------------------------------
% 0.65/0.96 % (2553401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.65/0.96 % (2553401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.96 % (2553401)CaDiCaL version: 2.1.3
% 0.65/0.96 % (2553401)Termination reason: Instruction limit
% 0.65/0.96 % (2553401)Termination phase: Saturation
% 0.65/0.96 % (2553401)Time elapsed: 0.085 s
% 0.65/0.96 % (2553401)Peak memory usage: 89 MB
% 0.65/0.96 % (2553401)Instructions burned: 130 (million)
% 0.65/0.96 % (2553399)Refutation found. Thanks to Tanya!
% 0.65/0.96 % SZS status Theorem for theBenchmark
% 0.65/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.15 % (2553399)------------------------------
% 2.64/1.15 % (2553399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.15 % (2553399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.15 % (2553399)CaDiCaL version: 2.1.3
% 2.64/1.15 % (2553399)Termination reason: Refutation
% 2.64/1.15 % (2553399)Time elapsed: 0.010 s
% 2.64/1.15 % (2553399)Peak memory usage: 88 MB
% 2.64/1.15 % (2553399)Instructions burned: 30 (million)
% 2.64/1.15 % (2553399)------------------------------
% 2.64/1.15 % (2553399)------------------------------
% 2.64/1.15 % (2553390)Success in time 0.285 s
% 2.64/1.15 % Vampire exiting
%------------------------------------------------------------------------------