%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 01:24:23 PM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 133 ( 38 unt; 9 def)
% Number of atoms : 1150 ( 457 equ)
% Maximal formula atoms : 125 ( 8 avg)
% Number of connectives : 1608 ( 591 ~; 478 |; 443 &)
% ( 12 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-2 aty)
% Number of variables : 432 ( 2 sgn 402 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f64,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',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(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ~ setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ~ setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( ( X8 != X9
& host(X8) = host(X9) )
=> ( ~ setIn(X8,alive)
| ~ setIn(X9,alive) ) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( setIn(X15,alive)
& setIn(X17,alive)
& elem(m_Down(X16),queue(host(X15)))
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X18,X19,X20] :
( ( setIn(X20,alive)
& host(X20) = host(X19)
& norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20)) )
=> ~ ( setIn(X18,alive)
& elem(m_Down(X19),queue(host(X18))) ) )
& ! [X21,X22] :
( ( setIn(X21,alive)
& setIn(X22,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21))
& norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22)) )
=> X21 = X22 )
& ! [X23,X24,X25] :
( ( ~ leq(host(X24),host(X25))
& setIn(X25,alive)
& elem(m_Down(X24),queue(host(X25)))
& host(X24) = host(X23) )
=> ~ ( setIn(X23,alive)
& host(X23) = index(ldr,host(X23))
& norm = index(status,host(X23)) ) )
& ! [X26,X27,X28,X29] :
( ( host(X26) != host(X28)
& setIn(X26,alive)
& setIn(X28,alive)
& host(X26) = host(X27)
& host(X28) = host(X29) )
=> ~ ( elem(m_Down(X29),queue(host(X26)))
& elem(m_Down(X27),queue(host(X28))) ) )
& ! [X30,X31,X32,X33] :
( ( host(X30) != host(X32)
& setIn(X30,alive)
& setIn(X32,alive)
& host(X30) = host(X31)
& host(X32) = host(X33) )
=> ~ ( elem(m_Down(X33),queue(host(X30)))
& setIn(host(X31),index(down,host(X32))) ) )
& ! [X34,X35,X36] :
( ( host(X36) != host(X35)
& setIn(X36,alive)
& elem(m_Down(X34),queue(host(X36)))
& host(X35) = host(X34)
& norm = index(status,host(X36))
& host(X35) = index(ldr,host(X36)) )
=> ~ ( setIn(X35,alive)
& norm = index(status,host(X35))
& host(X35) = index(ldr,host(X35)) ) )
& ! [X37,X38,X39] :
( ( host(X39) != host(X38)
& setIn(X39,alive)
& elem(m_Down(X37),queue(host(X39)))
& host(X38) = host(X37)
& wait = index(status,host(X39))
& host(X38) = host(index(elid,host(X39))) )
=> ~ ( setIn(X38,alive)
& norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38)) ) )
& ! [X40,X41,X42,X43] :
( ( ! [X44] :
( ( ~ leq(host(X43),X44)
& leq(s(zero),X44) )
=> ( setIn(X44,index(down,host(X43)))
| host(X42) = X44 ) )
& setIn(X40,alive)
& leq(host(X40),host(X43))
& elem(m_Down(X42),queue(host(X43)))
& host(X43) = host(X41)
& elec_2 = index(status,host(X40))
& elec_1 = index(status,host(X43)) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X45,X46,X47,X48] :
( ( ! [X49] :
( ( ~ leq(host(X48),X49)
& leq(s(zero),X49) )
=> ( setIn(X49,index(down,host(X48)))
| host(X47) = X49 ) )
& setIn(X48,alive)
& leq(nbr_proc,s(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& elem(m_Down(X46),queue(host(X48)))
& s(host(X48)) = host(X46)
& elec_1 = index(status,host(X48)) )
=> ~ ( setIn(X45,alive)
& host(X45) = index(ldr,host(X45))
& norm = index(status,host(X45)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( ~ setIn(host(X50),index(acks,host(X2)))
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X2) != host(X54)
=> ( ( ! [X55] :
( ( ~ leq(host(X54),X55)
& leq(s(zero),X55) )
=> ( setIn(X55,index(down,host(X54)))
| host(X53) = X55 ) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54)) )
=> ~ ( setIn(X51,alive)
& host(X2) = host(X51) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54) )
& host(X2) = host(X51) )
& ~ setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,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(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54) )
& host(X2) = host(X51) )
& ~ setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,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(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( setIn(X4,alive)
& host(X1) = host(X4)
& ! [X8] :
( setIn(X8,index(down,host(X7)))
| host(X6) = X8
| leq(host(X7),X8)
| ~ leq(s(zero),X8) )
& setIn(X7,alive)
& leq(nbr_proc,s(host(X7)))
& elem(m_Down(X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& host(X5) = s(host(X7))
& elec_1 = index(status,host(X7))
& host(X1) != host(X7) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& elec_2 = index(status,host(X1))
& host(X2) = index(pendack,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,[],[f86]) ).
fof(f113,plain,
( setIn(sK7,alive)
& host(sK4) = host(sK7)
& ! [X8] :
( setIn(X8,index(down,host(sK10)))
| host(sK9) = X8
| leq(host(sK10),X8)
| ~ leq(s(zero),X8) )
& setIn(sK10,alive)
& leq(nbr_proc,s(host(sK10)))
& elem(m_Down(sK8),queue(host(sK10)))
& elem(m_Down(sK9),queue(host(sK10)))
& s(host(sK10)) = host(sK8)
& elec_1 = index(status,host(sK10))
& host(sK4) != host(sK10)
& host(sK4) = host(sK7)
& ~ setIn(host(sK6),index(acks,host(sK4)))
& leq(nbr_proc,index(pendack,host(sK4)))
& elec_2 = index(status,host(sK4))
& index(pendack,host(sK4)) = host(sK5)
& leq(host(sK4),host(sK5))
& setIn(sK4,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(sK11(X47,X48),index(down,host(X48)))
& host(X47) != sK11(X47,X48)
& ~ leq(host(X48),sK11(X47,X48))
& leq(s(zero),sK11(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(sK12(X52,X53),index(down,host(X53)))
& host(X52) != sK12(X52,X53)
& ~ leq(host(X53),sK12(X52,X53))
& leq(s(zero),sK12(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(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X49,sK11(X47,X48)),skolemize(X54,sK12(X52,X53))],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f201,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f204,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f206,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f226,plain,
! [X21,X22,X20] :
( ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| leq(index(pendack,host(X22)),host(X20))
| ~ elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| elec_2 != index(status,host(X22)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X16,X17] :
( ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(index(pendack,host(X17)),host(X16))
| ~ setIn(host(X17),index(down,host(X16)))
| elec_2 != index(status,host(X17)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
leq(host(sK4),host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f243,plain,
s(host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
elem(m_Down(sK9),queue(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
elem(m_Down(sK8),queue(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
leq(nbr_proc,s(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
! [X8] :
( ~ leq(s(zero),X8)
| host(sK9) = X8
| leq(host(sK10),X8)
| setIn(X8,index(down,host(sK10))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f262,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f201]) ).
fof(f283,plain,
leq(nbr_proc,host(sK5)),
inference(forward_demodulation,[],[f238,f236]) ).
fof(f284,plain,
leq(nbr_proc,host(sK8)),
inference(forward_demodulation,[],[f246,f243]) ).
fof(f326,plain,
! [X0] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(host(sK4),index(down,host(X0)))
| elec_2 != index(status,host(sK4)) ),
inference(resolution,[],[f228,f234]) ).
fof(f329,plain,
! [X0] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(host(sK4),index(down,host(X0))) ),
inference(forward_subsumption_resolution,[],[f326,f237]) ).
fof(f330,plain,
! [X0] :
( ~ setIn(X0,alive)
| leq(host(sK5),host(X0))
| ~ setIn(host(sK4),index(down,host(X0))) ),
inference(forward_demodulation,[],[f329,f236]) ).
fof(f336,plain,
( leq(host(sK5),host(sK10))
| ~ setIn(host(sK4),index(down,host(sK10))) ),
inference(resolution,[],[f330,f247]) ).
fof(f338,definition,
( spl13_6
<=> setIn(host(sK4),index(down,host(sK10))) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f340,plain,
( ~ setIn(host(sK4),index(down,host(sK10)))
| spl13_6 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f342,definition,
( spl13_7
<=> leq(host(sK5),host(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f344,plain,
( leq(host(sK5),host(sK10))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,plain,
( ~ spl13_6
| spl13_7 ),
inference(avatar_split_clause,[],[f336,f342,f338]) ).
fof(f351,definition,
( spl13_9
<=> leq(host(sK5),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f352,plain,
( ~ leq(host(sK5),host(sK4))
| spl13_9 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f355,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4)
| elec_2 != index(status,host(sK4)) ),
inference(resolution,[],[f226,f234]) ).
fof(f358,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(forward_subsumption_resolution,[],[f355,f237]) ).
fof(f359,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| leq(host(sK5),host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4) ),
inference(forward_demodulation,[],[f358,f236]) ).
fof(f361,plain,
! [X0] :
( leq(host(sK5),host(sK10))
| ~ elem(m_Down(X0),queue(host(sK10)))
| host(X0) != host(sK4) ),
inference(resolution,[],[f359,f247]) ).
fof(f363,definition,
( spl13_10
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10)))
| host(X0) != host(sK4) ) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(sK10))) )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl13_10
| spl13_7 ),
inference(avatar_split_clause,[],[f361,f342,f363]) ).
fof(f448,plain,
! [X0] :
( setIn(host(X0),index(down,host(sK10)))
| leq(host(sK10),host(X0))
| host(X0) = host(sK9) ),
inference(resolution,[],[f117,f248]) ).
fof(f449,plain,
( leq(host(sK10),host(sK4))
| host(sK4) = host(sK9)
| spl13_6 ),
inference(resolution,[],[f448,f340]) ).
fof(f451,definition,
( spl13_19
<=> host(sK4) = host(sK9) ),
introduced(definition,[new_symbols(definition,[spl13_19])],[avatar_definition]) ).
fof(f453,plain,
( host(sK4) = host(sK9)
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl13_20
<=> leq(host(sK10),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f457,plain,
( leq(host(sK10),host(sK4))
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f458,plain,
( spl13_19
| spl13_20
| spl13_6 ),
inference(avatar_split_clause,[],[f449,f338,f455,f451]) ).
fof(f578,plain,
leq(s(nbr_proc),s(host(sK5))),
inference(resolution,[],[f204,f283]) ).
fof(f581,plain,
( leq(s(host(sK5)),s(host(sK10)))
| ~ spl13_7 ),
inference(resolution,[],[f204,f344]) ).
fof(f595,plain,
! [X0] : leq(s(host(X0)),s(nbr_proc)),
inference(resolution,[],[f204,f119]) ).
fof(f596,plain,
( leq(s(host(sK5)),host(sK8))
| ~ spl13_7 ),
inference(forward_demodulation,[],[f581,f243]) ).
fof(f605,plain,
! [X0] :
( ~ leq(s(X0),host(sK8))
| leq(X0,host(sK10)) ),
inference(superposition,[],[f205,f243]) ).
fof(f612,plain,
( ~ leq(host(sK5),nbr_proc)
| nbr_proc = host(sK5) ),
inference(resolution,[],[f200,f283]) ).
fof(f613,plain,
( ~ leq(host(sK8),nbr_proc)
| nbr_proc = host(sK8) ),
inference(resolution,[],[f200,f284]) ).
fof(f614,plain,
( ~ leq(host(sK5),host(sK4))
| host(sK4) = host(sK5) ),
inference(resolution,[],[f200,f235]) ).
fof(f619,plain,
( ~ leq(s(host(sK5)),s(nbr_proc))
| s(host(sK5)) = s(nbr_proc) ),
inference(resolution,[],[f200,f578]) ).
fof(f723,plain,
s(host(sK5)) = s(nbr_proc),
inference(forward_subsumption_resolution,[],[f619,f595]) ).
fof(f743,definition,
( spl13_49
<=> host(sK4) = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl13_49])],[avatar_definition]) ).
fof(f745,plain,
( host(sK4) = host(sK5)
| ~ spl13_49 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f746,plain,
( spl13_49
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f614,f351,f743]) ).
fof(f747,plain,
nbr_proc = host(sK8),
inference(forward_subsumption_resolution,[],[f613,f119]) ).
fof(f748,plain,
nbr_proc = host(sK5),
inference(forward_subsumption_resolution,[],[f612,f119]) ).
fof(f776,plain,
( leq(s(nbr_proc),host(sK8))
| ~ spl13_7 ),
inference(backward_demodulation,[],[f596,f723]) ).
fof(f778,plain,
nbr_proc = s(host(sK10)),
inference(backward_demodulation,[],[f243,f747]) ).
fof(f783,plain,
! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK10)) ),
inference(backward_demodulation,[],[f605,f747]) ).
fof(f795,plain,
( leq(s(nbr_proc),nbr_proc)
| ~ spl13_7 ),
inference(forward_demodulation,[],[f776,f747]) ).
fof(f798,plain,
( $false
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f795,f197]) ).
fof(f799,plain,
~ spl13_7,
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f801,plain,
( ~ leq(nbr_proc,host(sK4))
| spl13_9 ),
inference(forward_demodulation,[],[f352,f748]) ).
fof(f820,plain,
( nbr_proc != host(sK4)
| ~ elem(m_Down(sK8),queue(host(sK10)))
| ~ spl13_10 ),
inference(superposition,[],[f364,f747]) ).
fof(f856,plain,
( nbr_proc != host(sK4)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f820,f245]) ).
fof(f974,plain,
( host(sK4) != host(sK4)
| ~ elem(m_Down(sK9),queue(host(sK10)))
| ~ spl13_10
| ~ spl13_19 ),
inference(superposition,[],[f364,f453]) ).
fof(f990,plain,
( ~ elem(m_Down(sK9),queue(host(sK10)))
| ~ spl13_10
| ~ spl13_19 ),
inference(trivial_inequality_removal,[],[f974]) ).
fof(f1019,plain,
( $false
| ~ spl13_10
| ~ spl13_19 ),
inference(forward_subsumption_resolution,[],[f990,f244]) ).
fof(f1020,plain,
( ~ spl13_10
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1052,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK10)
| ~ spl13_20 ),
inference(resolution,[],[f457,f200]) ).
fof(f1053,plain,
( leq(s(host(sK10)),s(host(sK4)))
| ~ spl13_20 ),
inference(resolution,[],[f457,f204]) ).
fof(f1055,plain,
( leq(nbr_proc,s(host(sK4)))
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1053,f778]) ).
fof(f1056,plain,
( ~ leq(host(sK4),host(sK10))
| ~ spl13_20 ),
inference(forward_subsumption_resolution,[],[f1052,f241]) ).
fof(f1073,definition,
( spl13_66
<=> nbr_proc = s(host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_66])],[avatar_definition]) ).
fof(f1075,plain,
( nbr_proc = s(host(sK4))
| ~ spl13_66 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1089,plain,
( leq(nbr_proc,host(sK4))
| nbr_proc = s(host(sK4))
| ~ spl13_20 ),
inference(resolution,[],[f206,f1055]) ).
fof(f1097,plain,
( nbr_proc = host(sK4)
| ~ spl13_49 ),
inference(forward_demodulation,[],[f745,f748]) ).
fof(f1099,definition,
( spl13_68
<=> leq(nbr_proc,host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_68])],[avatar_definition]) ).
fof(f1102,plain,
( spl13_66
| spl13_68
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1089,f455,f1099,f1073]) ).
fof(f1104,plain,
( $false
| ~ spl13_10
| ~ spl13_49 ),
inference(forward_subsumption_resolution,[],[f1097,f856]) ).
fof(f1105,plain,
( ~ spl13_10
| ~ spl13_49 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1107,plain,
( ~ spl13_68
| spl13_9 ),
inference(avatar_split_clause,[],[f801,f351,f1099]) ).
fof(f1239,plain,
( ~ leq(nbr_proc,nbr_proc)
| leq(host(sK4),host(sK10))
| ~ spl13_66 ),
inference(superposition,[],[f783,f1075]) ).
fof(f1240,plain,
( leq(host(sK4),host(sK10))
| ~ spl13_66 ),
inference(forward_subsumption_resolution,[],[f1239,f262]) ).
fof(f1241,plain,
( $false
| ~ spl13_20
| ~ spl13_66 ),
inference(forward_subsumption_resolution,[],[f1240,f1056]) ).
fof(f1242,plain,
( ~ spl13_20
| ~ spl13_66 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
cnf(s5,plain,
( ~ spl13_6
| spl13_7 ),
inference(sat_conversion,[],[f345]) ).
cnf(s7,plain,
( spl13_7
| spl13_10 ),
inference(sat_conversion,[],[f365]) ).
cnf(s12,plain,
( spl13_6
| spl13_19
| spl13_20 ),
inference(sat_conversion,[],[f458]) ).
cnf(s27,plain,
( ~ spl13_9
| spl13_49 ),
inference(sat_conversion,[],[f746]) ).
cnf(s29,plain,
~ spl13_7,
inference(sat_conversion,[],[f799]) ).
cnf(s44,plain,
( ~ spl13_10
| ~ spl13_19 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s48,plain,
( ~ spl13_20
| spl13_66
| spl13_68 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s50,plain,
( ~ spl13_10
| ~ spl13_49 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s51,plain,
( spl13_9
| ~ spl13_68 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s57,plain,
( ~ spl13_20
| ~ spl13_66 ),
inference(sat_conversion,[],[f1242]) ).
cnf(s58,plain,
spl13_10,
inference(rat,[],[s7,s29]) ).
cnf(s59,plain,
~ spl13_49,
inference(rat,[],[s50,s58]) ).
cnf(s60,plain,
~ spl13_19,
inference(rat,[],[s44,s58]) ).
cnf(s61,plain,
~ spl13_9,
inference(rat,[],[s27,s59]) ).
cnf(s62,plain,
~ spl13_68,
inference(rat,[],[s51,s61]) ).
cnf(s64,plain,
~ spl13_6,
inference(rat,[],[s5,s29]) ).
cnf(s65,plain,
spl13_20,
inference(rat,[],[s12,s60,s64]) ).
cnf(s66,plain,
~ spl13_66,
inference(rat,[],[s57,s65]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s48,s62,s66,s65]) ).
fof(f1243,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 11:11:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.23 % (3318153)Will run a generic schedule for satisfiability detection.
% 0.08/0.23 % (3318159)% WARNING: option uhcvi not known.
% 0.08/0.23 % (3318164)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2210005231:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.23 % (3318160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=549743525:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.23 % (3318162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3801031646:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.23 % (3318158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4120086912_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.23 % (3318159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1462222376:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.23 % (3318161)dis+10_1_sil=32000:sp=arity:random_seed=1520291810:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.23 % (3318163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=45347796:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.23 % Detected minimum model sizes of [4]
% 0.08/0.23 % Detected maximum model sizes of [max]
% 0.08/0.23 % TRYING [4]
% 0.08/0.23 % TRYING [5]
% 0.08/0.23 % (3318161)Instruction limit reached!
% 0.08/0.23 % (3318161)------------------------------
% 0.08/0.23 % (3318161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (3318161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (3318161)CaDiCaL version: 2.1.3
% 0.08/0.23 % (3318161)Termination reason: Instruction limit
% 0.08/0.23 % (3318161)Termination phase: Saturation
% 0.08/0.23 % (3318161)Time elapsed: 0.036 s
% 0.08/0.23 % (3318161)Peak memory usage: 12 MB
% 0.08/0.23 % (3318161)Instructions burned: 105 (million)
% 0.08/0.23 % (3318162)Instruction limit reached!
% 0.08/0.23 % (3318162)------------------------------
% 0.08/0.23 % (3318162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (3318162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (3318162)CaDiCaL version: 2.1.3
% 0.08/0.23 % (3318162)Termination reason: Instruction limit
% 0.08/0.23 % (3318162)Termination phase: Saturation
% 0.08/0.23 % (3318162)Time elapsed: 0.039 s
% 0.08/0.23 % (3318162)Peak memory usage: 12 MB
% 0.08/0.23 % (3318162)Instructions burned: 117 (million)
% 0.08/0.23 % (3318163)Instruction limit reached!
% 0.08/0.23 % (3318163)------------------------------
% 0.08/0.23 % (3318163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (3318163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (3318163)CaDiCaL version: 2.1.3
% 0.08/0.23 % (3318163)Termination reason: Instruction limit
% 0.08/0.23 % (3318163)Termination phase: Saturation
% 0.08/0.23 % (3318163)Time elapsed: 0.044 s
% 0.08/0.23 % (3318163)Peak memory usage: 13 MB
% 0.08/0.23 % (3318163)Instructions burned: 133 (million)
% 0.08/0.23 % (3318172)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1257899967:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.23 % (3318173)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2245639278:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.23 % (3318174)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4136801616:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.08/0.23 % (3318164)Instruction limit reached!
% 0.08/0.23 % (3318164)------------------------------
% 0.08/0.23 % (3318164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (3318164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (3318164)CaDiCaL version: 2.1.3
% 0.08/0.23 % (3318164)Termination reason: Instruction limit
% 0.08/0.23 % (3318164)Termination phase: Saturation
% 0.08/0.23 % (3318164)Time elapsed: 0.056 s
% 0.08/0.23 % (3318164)Peak memory usage: 13 MB
% 0.08/0.23 % (3318164)Instructions burned: 161 (million)
% 0.08/0.23 % Detected minimum model sizes of [4]
% 0.08/0.23 % Detected maximum model sizes of [max]
% 0.08/0.23 % TRYING [4]
% 0.08/0.23 % (3318178)ott-21_1_sil=16000:fs=off:random_seed=3512349831:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.08/0.23 % TRYING [6]
% 0.08/0.23 % (3318173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3318153-3318173"...
% 0.08/0.23 % (3318173)...printing done.
% 0.08/0.23 % TRYING [5]
% 0.08/0.23 % (3318173)Refutation found. Thanks to Tanya!
% 0.08/0.23 % SZS status Theorem for theBenchmark
% 0.08/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.23 % (3318173)------------------------------
% 0.08/0.23 % (3318173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (3318173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (3318173)CaDiCaL version: 2.1.3
% 0.08/0.23 % (3318173)Termination reason: Refutation
% 0.08/0.23 % (3318173)Time elapsed: 0.025 s
% 0.08/0.23 % (3318173)Peak memory usage: 13 MB
% 0.08/0.23 % (3318173)Instructions burned: 70 (million)
% 0.08/0.23 % (3318153)Success in time 0.104 s
% 0.08/0.23 % Vampire exiting
%------------------------------------------------------------------------------