%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV481+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:15:55 PM UTC 2026
% Result : Theorem 4.46s 1.35s
% Output : Refutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 142 ( 44 unt; 11 def)
% Number of atoms : 1259 ( 532 equ)
% Maximal formula atoms : 131 ( 8 avg)
% Number of connectives : 1756 ( 639 ~; 556 |; 466 &)
% ( 14 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 20 con; 0-2 aty)
% Number of variables : 437 ( 2 sgn 407 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_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 )
=> ! [X4,X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( ! [X8] :
( ( ~ leq(host(X11),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X2)))
| X8 = host(X3)
| X8 = host(X10) ) )
& setIn(X11,alive)
& elem(m_Down(X9),X0)
& elem(m_Down(X10),X0)
& leq(nbr_proc,s(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_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 )
=> ! [X4,X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( ! [X8] :
( ( ~ leq(host(X11),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X2)))
| X8 = host(X3)
| X8 = host(X10) ) )
& setIn(X11,alive)
& elem(m_Down(X9),X0)
& elem(m_Down(X10),X0)
& leq(nbr_proc,s(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( 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] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( ( X8 != X9
& host(X9) = host(X8) )
=> ( ~ setIn(X8,alive)
| ~ setIn(X9,alive) ) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( setIn(X15,alive)
& setIn(X17,alive)
& elem(m_Down(X16),queue(host(X15)))
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X18,X19,X20] :
( ( setIn(X20,alive)
& host(X20) = host(X19)
& norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20)) )
=> ~ ( setIn(X18,alive)
& elem(m_Down(X19),queue(host(X18))) ) )
& ! [X21,X22] :
( ( setIn(X21,alive)
& setIn(X22,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21))
& norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22)) )
=> X21 = X22 )
& ! [X23,X24,X25] :
( ( ~ leq(host(X24),host(X25))
& setIn(X25,alive)
& elem(m_Down(X24),queue(host(X25)))
& host(X24) = host(X23) )
=> ~ ( setIn(X23,alive)
& host(X23) = index(ldr,host(X23))
& norm = index(status,host(X23)) ) )
& ! [X26,X27,X28,X29] :
( ( host(X26) != host(X28)
& setIn(X26,alive)
& setIn(X28,alive)
& host(X26) = host(X27)
& host(X28) = host(X29) )
=> ~ ( elem(m_Down(X29),queue(host(X26)))
& elem(m_Down(X27),queue(host(X28))) ) )
& ! [X30,X31,X32,X33] :
( ( host(X30) != host(X32)
& setIn(X30,alive)
& setIn(X32,alive)
& host(X30) = host(X31)
& host(X32) = host(X33) )
=> ~ ( elem(m_Down(X33),queue(host(X30)))
& setIn(host(X31),index(down,host(X32))) ) )
& ! [X34,X35,X36] :
( ( host(X36) != host(X35)
& setIn(X36,alive)
& elem(m_Down(X34),queue(host(X36)))
& host(X35) = host(X34)
& norm = index(status,host(X36))
& host(X35) = index(ldr,host(X36)) )
=> ~ ( setIn(X35,alive)
& norm = index(status,host(X35))
& host(X35) = index(ldr,host(X35)) ) )
& ! [X37,X38,X39] :
( ( host(X39) != host(X38)
& setIn(X39,alive)
& elem(m_Down(X37),queue(host(X39)))
& host(X38) = host(X37)
& wait = index(status,host(X39))
& host(X38) = host(index(elid,host(X39))) )
=> ~ ( setIn(X38,alive)
& norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38)) ) )
& ! [X40,X41,X42,X43] :
( ( ! [X44] :
( ( ~ leq(host(X43),X44)
& leq(s(zero),X44) )
=> ( setIn(X44,index(down,host(X43)))
| host(X42) = X44 ) )
& setIn(X40,alive)
& leq(host(X40),host(X43))
& elem(m_Down(X42),queue(host(X43)))
& host(X43) = host(X41)
& elec_2 = index(status,host(X40))
& elec_1 = index(status,host(X43)) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X45,X46,X47,X48] :
( ( ! [X49] :
( ( ~ leq(host(X48),X49)
& leq(s(zero),X49) )
=> ( setIn(X49,index(down,host(X48)))
| host(X47) = X49 ) )
& setIn(X48,alive)
& leq(nbr_proc,s(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& elem(m_Down(X46),queue(host(X48)))
& s(host(X48)) = host(X46)
& elec_1 = index(status,host(X48)) )
=> ~ ( setIn(X45,alive)
& host(X45) = index(ldr,host(X45))
& norm = index(status,host(X45)) ) )
& queue(host(X2)) = cons(m_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))) ) )
=> ( ~ ( ! [X50] :
( ( ~ leq(host(X2),X50)
& leq(s(zero),X50) )
=> ( setIn(X50,index(down,host(X2)))
| host(X3) = X50 ) )
& index(status,host(X2)) = elec_1 )
=> ! [X51,X52,X53,X54] :
( host(X2) = host(X54)
=> ( ( ! [X55] :
( ( ~ leq(host(X54),X55)
& leq(s(zero),X55) )
=> ( setIn(X55,index(down,host(X2)))
| host(X3) = X55
| host(X53) = X55 ) )
& setIn(X54,alive)
& elem(m_Down(X52),X0)
& elem(m_Down(X53),X0)
& leq(nbr_proc,s(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54)) )
=> ~ ( setIn(X51,alive)
& host(X51) = index(ldr,host(X51))
& norm = index(status,host(X51)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X2,X3] :
( ? [X51,X52,X53,X54] :
( setIn(X51,alive)
& host(X51) = index(ldr,host(X51))
& norm = index(status,host(X51))
& ! [X55] :
( setIn(X55,index(down,host(X2)))
| host(X3) = X55
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& elem(m_Down(X52),X0)
& elem(m_Down(X53),X0)
& leq(nbr_proc,s(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) = host(X54) )
& ( ? [X50] :
( ~ setIn(X50,index(down,host(X2)))
& host(X3) != X50
& ~ leq(host(X2),X50)
& leq(s(zero),X50) )
| elec_1 != index(status,host(X2)) )
& ( 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] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X9) != host(X8) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X2,X3] :
( ? [X51,X52,X53,X54] :
( setIn(X51,alive)
& host(X51) = index(ldr,host(X51))
& norm = index(status,host(X51))
& ! [X55] :
( setIn(X55,index(down,host(X2)))
| host(X3) = X55
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& elem(m_Down(X52),X0)
& elem(m_Down(X53),X0)
& leq(nbr_proc,s(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) = host(X54) )
& ( ? [X50] :
( ~ setIn(X50,index(down,host(X2)))
& host(X3) != X50
& ~ leq(host(X2),X50)
& leq(s(zero),X50) )
| elec_1 != index(status,host(X2)) )
& ( 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] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X9) != host(X8) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f70]) ).
fof(f87,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& ! [X7] :
( setIn(X7,index(down,host(X1)))
| host(X2) = X7
| host(X5) = X7
| leq(host(X6),X7)
| ~ leq(s(zero),X7) )
& setIn(X6,alive)
& elem(m_Down(X4),X0)
& elem(m_Down(X5),X0)
& leq(nbr_proc,s(host(X6)))
& host(X4) = s(host(X6))
& elec_1 = index(status,host(X6))
& host(X1) = host(X6) )
& ( ? [X8] :
( ~ setIn(X8,index(down,host(X1)))
& host(X2) != X8
& ~ leq(host(X1),X8)
& leq(s(zero),X8) )
| 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)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X14) != host(X13) )
& ! [X15] :
( index(elid,host(X15)) = X15
| ( elec_1 != index(status,host(X15))
& elec_2 != index(status,host(X15)) )
| ~ setIn(X15,alive) )
& ! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(host(X19),index(down,host(X18)))
| ~ setIn(X19,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19)) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| elec_2 != index(status,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X25,alive)
| host(X24) != host(X25)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25)) )
& ! [X26,X27] :
( X26 = X27
| ~ setIn(X26,alive)
| ~ setIn(X27,alive)
| host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27)) )
& ! [X28,X29,X30] :
( ~ setIn(X28,alive)
| host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| leq(host(X29),host(X30))
| ~ setIn(X30,alive)
| ~ elem(m_Down(X29),queue(host(X30)))
| host(X28) != host(X29) )
& ! [X31,X32,X33,X34] :
( ~ elem(m_Down(X34),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X33)))
| host(X31) = host(X33)
| ~ setIn(X31,alive)
| ~ setIn(X33,alive)
| host(X32) != host(X31)
| host(X33) != host(X34) )
& ! [X35,X36,X37,X38] :
( ~ elem(m_Down(X38),queue(host(X35)))
| ~ setIn(host(X36),index(down,host(X37)))
| host(X35) = host(X37)
| ~ setIn(X35,alive)
| ~ setIn(X37,alive)
| host(X36) != host(X35)
| host(X38) != host(X37) )
& ! [X39,X40,X41] :
( ~ setIn(X40,alive)
| norm != index(status,host(X40))
| host(X40) != index(ldr,host(X40))
| host(X40) = host(X41)
| ~ setIn(X41,alive)
| ~ elem(m_Down(X39),queue(host(X41)))
| host(X39) != host(X40)
| norm != index(status,host(X41))
| host(X40) != index(ldr,host(X41)) )
& ! [X42,X43,X44] :
( ~ setIn(X43,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43))
| host(X43) = host(X44)
| ~ setIn(X44,alive)
| ~ elem(m_Down(X42),queue(host(X44)))
| host(X43) != host(X42)
| wait != index(status,host(X44))
| host(X43) != host(index(elid,host(X44))) )
& ! [X45,X46,X47,X48] :
( ~ elem(m_Ack(X45,X46),queue(host(X45)))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X45,alive)
| ~ leq(host(X45),host(X48))
| ~ elem(m_Down(X47),queue(host(X48)))
| host(X48) != host(X46)
| elec_2 != index(status,host(X45))
| elec_1 != index(status,host(X48)) )
& ! [X50,X51,X52,X53] :
( ~ setIn(X50,alive)
| host(X50) != index(ldr,host(X50))
| norm != index(status,host(X50))
| ? [X54] :
( ~ setIn(X54,index(down,host(X53)))
& host(X52) != X54
& ~ leq(host(X53),X54)
& leq(s(zero),X54) )
| ~ setIn(X53,alive)
| ~ leq(nbr_proc,s(host(X53)))
| ~ elem(m_Down(X52),queue(host(X53)))
| ~ elem(m_Down(X51),queue(host(X53)))
| host(X51) != s(host(X53))
| elec_1 != index(status,host(X53)) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f71]) ).
fof(f88,plain,
( setIn(sK3,alive)
& host(sK3) = index(ldr,host(sK3))
& norm = index(status,host(sK3))
& ! [X7] :
( setIn(X7,index(down,host(sK1)))
| host(sK2) = X7
| host(sK5) = X7
| leq(host(sK6),X7)
| ~ leq(s(zero),X7) )
& setIn(sK6,alive)
& elem(m_Down(sK4),sK0)
& elem(m_Down(sK5),sK0)
& leq(nbr_proc,s(host(sK6)))
& s(host(sK6)) = host(sK4)
& elec_1 = index(status,host(sK6))
& host(sK1) = host(sK6)
& ( ( ~ setIn(sK7,index(down,host(sK1)))
& host(sK2) != sK7
& ~ leq(host(sK1),sK7)
& leq(s(zero),sK7) )
| 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)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X14) != host(X13) )
& ! [X15] :
( index(elid,host(X15)) = X15
| ( elec_1 != index(status,host(X15))
& elec_2 != index(status,host(X15)) )
| ~ setIn(X15,alive) )
& ! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(host(X19),index(down,host(X18)))
| ~ setIn(X19,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19)) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| elec_2 != index(status,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X25,alive)
| host(X24) != host(X25)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25)) )
& ! [X26,X27] :
( X26 = X27
| ~ setIn(X26,alive)
| ~ setIn(X27,alive)
| host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27)) )
& ! [X28,X29,X30] :
( ~ setIn(X28,alive)
| host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| leq(host(X29),host(X30))
| ~ setIn(X30,alive)
| ~ elem(m_Down(X29),queue(host(X30)))
| host(X28) != host(X29) )
& ! [X31,X32,X33,X34] :
( ~ elem(m_Down(X34),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X33)))
| host(X31) = host(X33)
| ~ setIn(X31,alive)
| ~ setIn(X33,alive)
| host(X32) != host(X31)
| host(X33) != host(X34) )
& ! [X35,X36,X37,X38] :
( ~ elem(m_Down(X38),queue(host(X35)))
| ~ setIn(host(X36),index(down,host(X37)))
| host(X35) = host(X37)
| ~ setIn(X35,alive)
| ~ setIn(X37,alive)
| host(X36) != host(X35)
| host(X38) != host(X37) )
& ! [X39,X40,X41] :
( ~ setIn(X40,alive)
| norm != index(status,host(X40))
| host(X40) != index(ldr,host(X40))
| host(X40) = host(X41)
| ~ setIn(X41,alive)
| ~ elem(m_Down(X39),queue(host(X41)))
| host(X39) != host(X40)
| norm != index(status,host(X41))
| host(X40) != index(ldr,host(X41)) )
& ! [X42,X43,X44] :
( ~ setIn(X43,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43))
| host(X43) = host(X44)
| ~ setIn(X44,alive)
| ~ elem(m_Down(X42),queue(host(X44)))
| host(X43) != host(X42)
| wait != index(status,host(X44))
| host(X43) != host(index(elid,host(X44))) )
& ! [X45,X46,X47,X48] :
( ~ elem(m_Ack(X45,X46),queue(host(X45)))
| ( ~ setIn(sK8(X47,X48),index(down,host(X48)))
& host(X47) != sK8(X47,X48)
& ~ leq(host(X48),sK8(X47,X48))
& leq(s(zero),sK8(X47,X48)) )
| ~ setIn(X45,alive)
| ~ leq(host(X45),host(X48))
| ~ elem(m_Down(X47),queue(host(X48)))
| host(X48) != host(X46)
| elec_2 != index(status,host(X45))
| elec_1 != index(status,host(X48)) )
& ! [X50,X51,X52,X53] :
( ~ setIn(X50,alive)
| host(X50) != index(ldr,host(X50))
| norm != index(status,host(X50))
| ( ~ setIn(sK9(X52,X53),index(down,host(X53)))
& host(X52) != sK9(X52,X53)
& ~ leq(host(X53),sK9(X52,X53))
& leq(s(zero),sK9(X52,X53)) )
| ~ setIn(X53,alive)
| ~ leq(nbr_proc,s(host(X53)))
| ~ elem(m_Down(X52),queue(host(X53)))
| ~ elem(m_Down(X51),queue(host(X53)))
| host(X51) != s(host(X53))
| elec_1 != index(status,host(X53)) )
& queue(host(sK1)) = cons(m_Down(sK2),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X8,sK7),skolemize(X49,sK8(X47,X48)),skolemize(X54,sK9(X52,X53))],[f87]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f102,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f101]) ).
fof(f103,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(f104,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,[],[f103]) ).
fof(f114,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f88]) ).
fof(f129,plain,
! [X24,X25,X23] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X23,alive)
| host(X24) != host(X25)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f131,plain,
! [X18,X19] :
( ~ setIn(X19,alive)
| ~ setIn(host(X19),index(down,host(X18)))
| ~ setIn(X18,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
setIn(sK1,alive),
inference(cnf_transformation,[],[f88]) ).
fof(f142,plain,
( leq(s(zero),sK7)
| elec_1 != index(status,host(sK1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f143,plain,
( ~ leq(host(sK1),sK7)
| elec_1 != index(status,host(sK1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f144,plain,
( host(sK2) != sK7
| elec_1 != index(status,host(sK1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f145,plain,
( ~ setIn(sK7,index(down,host(sK1)))
| elec_1 != index(status,host(sK1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f146,plain,
host(sK1) = host(sK6),
inference(cnf_transformation,[],[f88]) ).
fof(f147,plain,
elec_1 = index(status,host(sK6)),
inference(cnf_transformation,[],[f88]) ).
fof(f148,plain,
s(host(sK6)) = host(sK4),
inference(cnf_transformation,[],[f88]) ).
fof(f149,plain,
leq(nbr_proc,s(host(sK6))),
inference(cnf_transformation,[],[f88]) ).
fof(f150,plain,
elem(m_Down(sK5),sK0),
inference(cnf_transformation,[],[f88]) ).
fof(f151,plain,
elem(m_Down(sK4),sK0),
inference(cnf_transformation,[],[f88]) ).
fof(f153,plain,
! [X7] :
( setIn(X7,index(down,host(sK1)))
| host(sK2) = X7
| host(sK5) = X7
| leq(host(sK6),X7)
| ~ leq(s(zero),X7) ),
inference(cnf_transformation,[],[f88]) ).
fof(f154,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f88]) ).
fof(f155,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f88]) ).
fof(f156,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f88]) ).
fof(f186,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f187,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f190,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f201,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f208,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f254,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f187]) ).
fof(f301,definition,
( spl13_10
<=> elec_1 = index(status,host(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f302,plain,
( elec_1 != index(status,host(sK1))
| spl13_10 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,definition,
( spl13_11
<=> leq(s(zero),sK7) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f305,plain,
( leq(s(zero),sK7)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ spl13_10
| spl13_11 ),
inference(avatar_split_clause,[],[f142,f304,f301]) ).
fof(f308,definition,
( spl13_12
<=> leq(host(sK1),sK7) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f309,plain,
( ~ leq(host(sK1),sK7)
| spl13_12 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( ~ spl13_10
| ~ spl13_12 ),
inference(avatar_split_clause,[],[f143,f308,f301]) ).
fof(f312,definition,
( spl13_13
<=> host(sK2) = sK7 ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f313,plain,
( host(sK2) != sK7
| spl13_13 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( ~ spl13_10
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f144,f312,f301]) ).
fof(f316,definition,
( spl13_14
<=> setIn(sK7,index(down,host(sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
fof(f317,plain,
( ~ setIn(sK7,index(down,host(sK1)))
| spl13_14 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f318,plain,
( ~ spl13_10
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f145,f316,f301]) ).
fof(f319,plain,
elec_1 = index(status,host(sK1)),
inference(forward_demodulation,[],[f147,f146]) ).
fof(f320,plain,
host(sK4) = s(host(sK1)),
inference(forward_demodulation,[],[f148,f146]) ).
fof(f321,plain,
leq(nbr_proc,s(host(sK1))),
inference(forward_demodulation,[],[f149,f146]) ).
fof(f322,plain,
! [X7] :
( ~ leq(s(zero),X7)
| setIn(X7,index(down,host(sK1)))
| host(sK2) = X7
| host(sK5) = X7
| leq(host(sK1),X7) ),
inference(forward_demodulation,[],[f153,f146]) ).
fof(f323,plain,
leq(nbr_proc,host(sK4)),
inference(forward_demodulation,[],[f321,f320]) ).
fof(f325,plain,
( $false
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f302,f319]) ).
fof(f326,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f328,plain,
( setIn(sK7,index(down,host(sK1)))
| host(sK2) = sK7
| host(sK5) = sK7
| leq(host(sK1),sK7)
| ~ spl13_11 ),
inference(resolution,[],[f305,f322]) ).
fof(f329,plain,
( host(sK2) = sK7
| host(sK5) = sK7
| leq(host(sK1),sK7)
| ~ spl13_11
| spl13_14 ),
inference(forward_subsumption_resolution,[],[f328,f317]) ).
fof(f330,plain,
( host(sK5) = sK7
| leq(host(sK1),sK7)
| ~ spl13_11
| spl13_13
| spl13_14 ),
inference(forward_subsumption_resolution,[],[f329,f313]) ).
fof(f331,plain,
( host(sK5) = sK7
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14 ),
inference(forward_subsumption_resolution,[],[f330,f309]) ).
fof(f335,plain,
! [X0] :
( elem(X0,queue(host(sK1)))
| ~ elem(X0,sK0) ),
inference(superposition,[],[f186,f114]) ).
fof(f366,plain,
! [X0] :
( setIn(host(X0),index(down,host(sK1)))
| host(X0) = host(sK2)
| host(X0) = host(sK5)
| leq(host(sK1),host(X0)) ),
inference(resolution,[],[f191,f322]) ).
fof(f369,plain,
( ! [X0] :
( setIn(host(X0),index(down,host(sK1)))
| host(X0) = sK7
| host(X0) = host(sK2)
| leq(host(sK1),host(X0)) )
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14 ),
inference(forward_demodulation,[],[f366,f331]) ).
fof(f370,plain,
! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,host(sK1))
| host(sK4) = X0 ),
inference(superposition,[],[f201,f320]) ).
fof(f374,definition,
( spl13_18
<=> nbr_proc = host(sK4) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f375,plain,
( nbr_proc = host(sK4)
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f389,plain,
( ~ leq(host(sK4),nbr_proc)
| nbr_proc = host(sK4) ),
inference(resolution,[],[f196,f323]) ).
fof(f407,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[],[f254,f114]) ).
fof(f420,plain,
! [X0] :
( ~ setIn(host(sK3),index(down,host(X0)))
| ~ setIn(X0,alive)
| norm != index(status,host(sK3))
| host(sK3) != index(ldr,host(sK3)) ),
inference(resolution,[],[f131,f156]) ).
fof(f421,plain,
! [X0] :
( ~ setIn(host(sK3),index(down,host(X0)))
| ~ setIn(X0,alive)
| host(sK3) != index(ldr,host(sK3)) ),
inference(forward_subsumption_resolution,[],[f420,f154]) ).
fof(f424,plain,
! [X0] :
( ~ setIn(host(sK3),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f421,f155]) ).
fof(f472,plain,
nbr_proc = host(sK4),
inference(forward_subsumption_resolution,[],[f389,f190]) ).
fof(f475,plain,
spl13_18,
inference(avatar_split_clause,[],[f472,f374]) ).
fof(f490,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| leq(X0,host(sK1))
| nbr_proc = X0 )
| ~ spl13_18 ),
inference(superposition,[],[f370,f375]) ).
fof(f598,plain,
( host(sK3) = sK7
| host(sK3) = host(sK2)
| leq(host(sK1),host(sK3))
| ~ setIn(sK1,alive)
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14 ),
inference(resolution,[],[f369,f424]) ).
fof(f601,plain,
( host(sK3) = sK7
| host(sK3) = host(sK2)
| leq(host(sK1),host(sK3))
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14 ),
inference(forward_subsumption_resolution,[],[f598,f138]) ).
fof(f603,definition,
( spl13_45
<=> leq(host(sK1),host(sK3)) ),
introduced(definition,[new_symbols(definition,[spl13_45])],[avatar_definition]) ).
fof(f604,plain,
( leq(host(sK1),host(sK3))
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f606,definition,
( spl13_46
<=> host(sK3) = host(sK2) ),
introduced(definition,[new_symbols(definition,[spl13_46])],[avatar_definition]) ).
fof(f607,plain,
( host(sK3) = host(sK2)
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f609,definition,
( spl13_47
<=> host(sK3) = sK7 ),
introduced(definition,[new_symbols(definition,[spl13_47])],[avatar_definition]) ).
fof(f610,plain,
( host(sK3) = sK7
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( spl13_45
| spl13_46
| spl13_47
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14 ),
inference(avatar_split_clause,[],[f601,f316,f312,f308,f304,f609,f606,f603]) ).
fof(f614,plain,
( ~ leq(host(sK3),host(sK1))
| host(sK3) = host(sK1)
| ~ spl13_45 ),
inference(resolution,[],[f604,f196]) ).
fof(f616,definition,
( spl13_48
<=> host(sK3) = host(sK1) ),
introduced(definition,[new_symbols(definition,[spl13_48])],[avatar_definition]) ).
fof(f617,plain,
( host(sK3) = host(sK1)
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f619,definition,
( spl13_49
<=> leq(host(sK3),host(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_49])],[avatar_definition]) ).
fof(f620,plain,
( ~ leq(host(sK3),host(sK1))
| spl13_49 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f621,plain,
( spl13_48
| ~ spl13_49
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f614,f603,f619,f616]) ).
fof(f624,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| host(X0) != host(sK3)
| norm != index(status,host(sK3))
| host(sK3) != index(ldr,host(sK3)) ),
inference(resolution,[],[f129,f156]) ).
fof(f625,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| host(X0) != host(sK3)
| host(sK3) != index(ldr,host(sK3)) ),
inference(forward_subsumption_resolution,[],[f624,f154]) ).
fof(f628,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK3) ),
inference(forward_subsumption_resolution,[],[f625,f155]) ).
fof(f631,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| host(X0) != host(sK3) ),
inference(resolution,[],[f628,f138]) ).
fof(f635,plain,
host(sK3) != host(sK2),
inference(resolution,[],[f631,f407]) ).
fof(f636,plain,
! [X0] :
( ~ elem(m_Down(X0),sK0)
| host(X0) != host(sK3) ),
inference(resolution,[],[f631,f335]) ).
fof(f637,plain,
host(sK3) != host(sK4),
inference(resolution,[],[f636,f151]) ).
fof(f638,plain,
host(sK3) != host(sK5),
inference(resolution,[],[f636,f150]) ).
fof(f639,plain,
( host(sK3) != sK7
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14 ),
inference(forward_demodulation,[],[f638,f331]) ).
fof(f640,plain,
( nbr_proc != host(sK3)
| ~ spl13_18 ),
inference(forward_demodulation,[],[f637,f375]) ).
fof(f732,plain,
( $false
| ~ spl13_18
| spl13_49 ),
inference(unit_resulting_resolution,[],[f490,f640,f190,f620]) ).
fof(f733,plain,
( ~ spl13_18
| spl13_49 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f734,plain,
( $false
| ~ spl13_46 ),
inference(forward_subsumption_resolution,[],[f607,f635]) ).
fof(f735,plain,
~ spl13_46,
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f736,plain,
( $false
| ~ spl13_11
| spl13_12
| spl13_13
| spl13_14
| ~ spl13_47 ),
inference(forward_subsumption_resolution,[],[f610,f639]) ).
fof(f737,plain,
( ~ spl13_11
| spl13_12
| spl13_13
| spl13_14
| ~ spl13_47 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f741,plain,
( norm = index(status,host(sK1))
| ~ spl13_48 ),
inference(superposition,[],[f154,f617]) ).
fof(f754,plain,
( elec_1 = norm
| ~ spl13_48 ),
inference(forward_demodulation,[],[f741,f319]) ).
fof(f755,plain,
( $false
| ~ spl13_48 ),
inference(forward_subsumption_resolution,[],[f754,f208]) ).
fof(f756,plain,
~ spl13_48,
inference(avatar_contradiction_clause,[],[f755]) ).
cnf(s7,plain,
( ~ spl13_10
| spl13_11 ),
inference(sat_conversion,[],[f306]) ).
cnf(s8,plain,
( ~ spl13_10
| ~ spl13_12 ),
inference(sat_conversion,[],[f310]) ).
cnf(s9,plain,
( ~ spl13_10
| ~ spl13_13 ),
inference(sat_conversion,[],[f314]) ).
cnf(s10,plain,
( ~ spl13_10
| ~ spl13_14 ),
inference(sat_conversion,[],[f318]) ).
cnf(s11,plain,
spl13_10,
inference(sat_conversion,[],[f326]) ).
cnf(s21,plain,
spl13_18,
inference(sat_conversion,[],[f475]) ).
cnf(s38,plain,
( ~ spl13_11
| spl13_12
| spl13_13
| spl13_14
| spl13_45
| spl13_46
| spl13_47 ),
inference(sat_conversion,[],[f612]) ).
cnf(s39,plain,
( ~ spl13_45
| spl13_48
| ~ spl13_49 ),
inference(sat_conversion,[],[f621]) ).
cnf(s48,plain,
( ~ spl13_18
| spl13_49 ),
inference(sat_conversion,[],[f733]) ).
cnf(s49,plain,
~ spl13_46,
inference(sat_conversion,[],[f735]) ).
cnf(s50,plain,
( ~ spl13_11
| spl13_12
| spl13_13
| spl13_14
| ~ spl13_47 ),
inference(sat_conversion,[],[f737]) ).
cnf(s51,plain,
~ spl13_48,
inference(sat_conversion,[],[f756]) ).
cnf(s52,plain,
( ~ spl13_45
| ~ spl13_49 ),
inference(rat,[],[s39,s51]) ).
cnf(s53,plain,
( ~ spl13_11
| spl13_12
| spl13_13
| spl13_14
| spl13_45
| spl13_47 ),
inference(rat,[],[s38,s49]) ).
cnf(s55,plain,
spl13_49,
inference(rat,[],[s48,s21]) ).
cnf(s58,plain,
~ spl13_45,
inference(rat,[],[s52,s55]) ).
cnf(s63,plain,
~ spl13_14,
inference(rat,[],[s10,s11]) ).
cnf(s64,plain,
~ spl13_13,
inference(rat,[],[s9,s11]) ).
cnf(s65,plain,
~ spl13_12,
inference(rat,[],[s8,s11]) ).
cnf(s66,plain,
spl13_11,
inference(rat,[],[s7,s11]) ).
cnf(s67,plain,
~ spl13_47,
inference(rat,[],[s50,s65,s63,s64,s66]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s53,s65,s58,s63,s64,s67,s66]) ).
fof(f757,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV481+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n009.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 11:12:00 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.46/1.35 % (2968406)Detected formulas, will run a generic FOF schedule.
% 4.46/1.35 % (2968412)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=1110696860:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.46/1.35 % (2968416)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=153939668:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.46/1.35 % (2968417)dis-21_1_sil=8000:lcm=predicate:random_seed=621823112: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)
% 4.46/1.35 % (2968415)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1588207721:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.46/1.35 % (2968414)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3845076695:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.46/1.35 % (2968411)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=390838896:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.46/1.35 % (2968413)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=2552803327:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.46/1.35 % (2968414)Instruction limit reached!
% 4.46/1.35 % (2968414)------------------------------
% 4.46/1.35 % (2968414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968414)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968414)Termination reason: Instruction limit
% 4.46/1.35 % (2968414)Termination phase: Saturation
% 4.46/1.35 % (2968414)Time elapsed: 0.069 s
% 4.46/1.35 % (2968414)Peak memory usage: 89 MB
% 4.46/1.35 % (2968414)Instructions burned: 109 (million)
% 4.46/1.35 % (2968417)Instruction limit reached!
% 4.46/1.35 % (2968417)------------------------------
% 4.46/1.35 % (2968417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968417)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968417)Termination reason: Instruction limit
% 4.46/1.35 % (2968417)Termination phase: Saturation
% 4.46/1.35 % (2968417)Time elapsed: 0.072 s
% 4.46/1.35 % (2968417)Peak memory usage: 89 MB
% 4.46/1.35 % (2968417)Instructions burned: 129 (million)
% 4.46/1.35 % (2968415)Instruction limit reached!
% 4.46/1.35 % (2968415)------------------------------
% 4.46/1.35 % (2968415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968415)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968415)Termination reason: Instruction limit
% 4.46/1.35 % (2968415)Termination phase: Saturation
% 4.46/1.35 % (2968415)Time elapsed: 0.072 s
% 4.46/1.35 % (2968415)Peak memory usage: 88 MB
% 4.46/1.35 % (2968415)Instructions burned: 119 (million)
% 4.46/1.35 % (2968416)Instruction limit reached!
% 4.46/1.35 % (2968416)------------------------------
% 4.46/1.35 % (2968416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968416)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968416)Termination reason: Instruction limit
% 4.46/1.35 % (2968416)Termination phase: Saturation
% 4.46/1.35 % (2968416)Time elapsed: 0.098 s
% 4.46/1.35 % (2968416)Peak memory usage: 90 MB
% 4.46/1.35 % (2968416)Instructions burned: 139 (million)
% 4.46/1.35 % (2968426)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1563621898:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.46/1.35 % (2968427)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2943699547:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.46/1.35 % (2968425)lrs+10_1_sil=8000:sp=occurrence:random_seed=3173047079:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.46/1.35 % (2968428)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1737090996:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.46/1.35 % (2968426)Instruction limit reached!
% 4.46/1.35 % (2968426)------------------------------
% 4.46/1.35 % (2968426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968426)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968426)Termination reason: Instruction limit
% 4.46/1.35 % (2968426)Termination phase: Saturation
% 4.46/1.35 % (2968426)Time elapsed: 0.094 s
% 4.46/1.35 % (2968426)Peak memory usage: 90 MB
% 4.46/1.35 % (2968426)Instructions burned: 159 (million)
% 4.46/1.35 % (2968412)First to succeed.
% 4.46/1.35 % (2968412)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2968406"
% 4.46/1.35 % (2968425)Instruction limit reached!
% 4.46/1.35 % (2968425)------------------------------
% 4.46/1.35 % (2968425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968425)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968425)Termination reason: Instruction limit
% 4.46/1.35 % (2968425)Termination phase: Saturation
% 4.46/1.35 % (2968425)Time elapsed: 0.183 s
% 4.46/1.35 % (2968425)Peak memory usage: 91 MB
% 4.46/1.35 % (2968425)Instructions burned: 286 (million)
% 4.46/1.35 % (2968428)Instruction limit reached!
% 4.46/1.35 % (2968428)------------------------------
% 4.46/1.35 % (2968428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968428)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968428)Termination reason: Instruction limit
% 4.46/1.35 % (2968428)Termination phase: Saturation
% 4.46/1.35 % (2968428)Time elapsed: 0.152 s
% 4.46/1.35 % (2968428)Peak memory usage: 92 MB
% 4.46/1.35 % (2968428)Instructions burned: 248 (million)
% 4.46/1.35 % (2968427)Instruction limit reached!
% 4.46/1.35 % (2968427)------------------------------
% 4.46/1.35 % (2968427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (2968427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (2968427)CaDiCaL version: 2.1.3
% 4.46/1.35 % (2968427)Termination reason: Instruction limit
% 4.46/1.35 % (2968427)Termination phase: Saturation
% 4.46/1.35 % (2968427)Time elapsed: 0.220 s
% 4.46/1.35 % (2968427)Peak memory usage: 91 MB
% 4.46/1.35 % (2968427)Instructions burned: 325 (million)
% 4.46/1.35 % (2968433)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2104803398:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.46/1.35 % (2968434)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=359426159:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.46/1.35 % (2968435)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3059114264:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.46/1.35 % (2968412)Refutation found. Thanks to Tanya!
% 4.46/1.35 % SZS status Theorem for theBenchmark
% 4.46/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.44/1.55 % (2968412)------------------------------
% 5.44/1.55 % (2968412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.55 % (2968412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.55 % (2968412)CaDiCaL version: 2.1.3
% 5.44/1.55 % (2968412)Termination reason: Refutation
% 5.44/1.55 % (2968412)Time elapsed: 0.415 s
% 5.44/1.55 % (2968412)Peak memory usage: 131 MB
% 5.44/1.55 % (2968412)Instructions burned: 1035 (million)
% 5.44/1.55 % (2968412)------------------------------
% 5.44/1.55 % (2968412)------------------------------
% 5.44/1.55 % (2968406)Success in time 0.695 s
% 5.44/1.55 % Vampire exiting
%------------------------------------------------------------------------------