%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV479+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 184 ( 53 unt; 21 def)
% Number of atoms : 1295 ( 466 equ)
% Maximal formula atoms : 126 ( 7 avg)
% Number of connectives : 1762 ( 651 ~; 551 |; 448 &)
% ( 24 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-2 aty)
% Number of variables : 455 ( 2 sgn 425 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_62) ).
fof(f64,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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(X4) != host(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/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( 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(X4) != host(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(X50) != host(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(f83,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f84,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f83]) ).
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(X50) != 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(X50) != 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(X7) != host(X3) )
& 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(sK10) != host(sK6)
& 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(f203,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,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] :
( 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)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X16,X17] :
( elec_2 != index(status,host(X17))
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| leq(index(pendack,host(X17)),host(X16)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
setIn(sK4,alive),
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(f242,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
s(host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
elem(m_Down(sK9),queue(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
elem(m_Down(sK8),queue(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
leq(nbr_proc,s(host(sK10))),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f249,plain,
! [X8] :
( leq(host(sK10),X8)
| host(sK9) = X8
| setIn(X8,index(down,host(sK10)))
| ~ leq(s(zero),X8) ),
inference(cnf_transformation,[],[f113]) ).
fof(f263,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f201]) ).
fof(f286,plain,
~ elem(m_Down(sK8),queue(host(sK10))),
inference(consistent_polarity_flipping,[],[f246]) ).
fof(f287,plain,
~ elem(m_Down(sK9),queue(host(sK10))),
inference(consistent_polarity_flipping,[],[f245]) ).
fof(f290,plain,
! [X21,X22,X20] :
( elec_2 != index(status,host(X22))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| elem(m_Down(X21),queue(host(X20)))
| host(X21) != host(X22)
| leq(index(pendack,host(X22)),host(X20)) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f325,plain,
leq(nbr_proc,host(sK5)),
inference(superposition,[],[f238,f236]) ).
fof(f350,definition,
( spl13_8
<=> setIn(sK4,alive) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f352,plain,
( ~ setIn(sK4,alive)
| spl13_8 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f358,plain,
( $false
| spl13_8 ),
inference(resolution,[],[f352,f234]) ).
fof(f359,plain,
spl13_8,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f391,definition,
( spl13_13
<=> setIn(sK10,alive) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f393,plain,
( ~ setIn(sK10,alive)
| spl13_13 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f399,plain,
( $false
| spl13_13 ),
inference(resolution,[],[f393,f248]) ).
fof(f400,plain,
spl13_13,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f421,definition,
( spl13_18
<=> leq(s(zero),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f423,plain,
( ~ leq(s(zero),host(sK4))
| spl13_18 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl13_19
<=> setIn(host(sK4),index(down,host(sK10))) ),
introduced(definition,[new_symbols(definition,[spl13_19])],[avatar_definition]) ).
fof(f429,definition,
( spl13_20
<=> host(sK4) = host(sK9) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f439,plain,
! [X0] :
( elec_2 != elec_2
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| ~ setIn(host(sK4),index(down,host(X0)))
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(superposition,[],[f228,f237]) ).
fof(f441,plain,
! [X0] :
( ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| ~ setIn(host(sK4),index(down,host(X0)))
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(trivial_inequality_removal,[],[f439]) ).
fof(f443,definition,
( spl13_21
<=> ! [X0] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(host(sK4),index(down,host(X0))) ) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f444,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK4),index(down,host(X0))) )
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( ~ spl13_8
| spl13_21 ),
inference(avatar_split_clause,[],[f441,f443,f350]) ).
fof(f447,plain,
( ! [X0] :
( leq(host(sK5),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK4),index(down,host(X0))) )
| ~ spl13_21 ),
inference(superposition,[],[f444,f236]) ).
fof(f459,plain,
! [X0,X1] :
( elec_2 != elec_2
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(superposition,[],[f290,f237]) ).
fof(f461,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK4)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f463,definition,
( spl13_24
<=> ! [X0,X1] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK4)),host(X0))
| host(X1) != host(sK4)
| elem(m_Down(X1),queue(host(X0))) ) ),
introduced(definition,[new_symbols(definition,[spl13_24])],[avatar_definition]) ).
fof(f464,plain,
( ! [X0,X1] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| host(X1) != host(sK4)
| elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f465,plain,
( ~ spl13_8
| spl13_24 ),
inference(avatar_split_clause,[],[f461,f463,f350]) ).
fof(f474,plain,
( ! [X0,X1] :
( leq(host(sK5),host(X0))
| ~ setIn(X0,alive)
| host(X1) != host(sK4)
| elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_24 ),
inference(superposition,[],[f464,f236]) ).
fof(f552,plain,
~ leq(host(sK8),host(sK10)),
inference(superposition,[],[f197,f244]) ).
fof(f654,plain,
( $false
| spl13_18 ),
inference(resolution,[],[f117,f423]) ).
fof(f657,plain,
spl13_18,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f830,definition,
( spl13_63
<=> leq(host(sK4),host(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_63])],[avatar_definition]) ).
fof(f858,definition,
( spl13_66
<=> ! [X0] :
( host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK10))) ) ),
introduced(definition,[new_symbols(definition,[spl13_66])],[avatar_definition]) ).
fof(f859,plain,
( ! [X0] :
( elem(m_Down(X0),queue(host(sK10)))
| host(X0) != host(sK4) )
| ~ spl13_66 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f876,plain,
( host(sK4) != host(sK8)
| ~ spl13_66 ),
inference(resolution,[],[f859,f286]) ).
fof(f877,plain,
( host(sK4) != host(sK9)
| ~ spl13_66 ),
inference(resolution,[],[f859,f287]) ).
fof(f906,plain,
! [X0] :
( leq(host(sK8),s(X0))
| ~ leq(host(sK10),X0) ),
inference(superposition,[],[f204,f244]) ).
fof(f923,plain,
! [X0] :
( leq(host(sK10),X0)
| ~ leq(host(sK8),s(X0)) ),
inference(superposition,[],[f205,f244]) ).
fof(f924,plain,
! [X0] :
( ~ leq(s(X0),host(sK8))
| leq(X0,host(sK10)) ),
inference(superposition,[],[f205,f244]) ).
fof(f1071,plain,
! [X0] :
( ~ leq(host(sK8),s(X0))
| ~ leq(X0,host(sK10))
| host(sK10) = X0 ),
inference(resolution,[],[f200,f923]) ).
fof(f1126,definition,
( spl13_70
<=> nbr_proc = host(sK8) ),
introduced(definition,[new_symbols(definition,[spl13_70])],[avatar_definition]) ).
fof(f1128,plain,
( nbr_proc = host(sK8)
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1130,definition,
( spl13_71
<=> leq(nbr_proc,host(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_71])],[avatar_definition]) ).
fof(f1132,plain,
( ~ leq(nbr_proc,host(sK10))
| spl13_71 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1265,plain,
! [X0] :
( ~ leq(host(sK8),X0)
| ~ leq(X0,host(sK10)) ),
inference(resolution,[],[f203,f552]) ).
fof(f1275,plain,
( ! [X0] :
( ~ leq(nbr_proc,X0)
| ~ leq(X0,host(sK10)) )
| spl13_71 ),
inference(resolution,[],[f203,f1132]) ).
fof(f1338,plain,
~ leq(nbr_proc,host(sK10)),
inference(resolution,[],[f1265,f119]) ).
fof(f1361,plain,
( ! [X0] :
( ~ leq(nbr_proc,host(sK5))
| ~ setIn(sK10,alive)
| host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK10))) )
| ~ spl13_24
| spl13_71 ),
inference(resolution,[],[f1275,f474]) ).
fof(f1362,plain,
( ~ leq(nbr_proc,host(sK5))
| ~ setIn(sK10,alive)
| ~ setIn(host(sK4),index(down,host(sK10)))
| ~ spl13_21
| spl13_71 ),
inference(resolution,[],[f1275,f447]) ).
fof(f1769,definition,
( spl13_88
<=> leq(host(sK8),s(host(sK4))) ),
introduced(definition,[new_symbols(definition,[spl13_88])],[avatar_definition]) ).
fof(f1770,plain,
( leq(host(sK8),s(host(sK4)))
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1771,plain,
( ~ leq(host(sK8),s(host(sK4)))
| spl13_88 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1774,definition,
( spl13_89
<=> leq(host(sK8),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_89])],[avatar_definition]) ).
fof(f1775,plain,
( leq(host(sK8),host(sK4))
| ~ spl13_89 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f1779,definition,
( spl13_90
<=> leq(host(sK4),host(sK8)) ),
introduced(definition,[new_symbols(definition,[spl13_90])],[avatar_definition]) ).
fof(f1780,plain,
( ~ leq(host(sK4),host(sK8))
| spl13_90 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f1842,plain,
( ~ leq(host(sK10),host(sK4))
| spl13_88 ),
inference(resolution,[],[f1771,f906]) ).
fof(f2952,plain,
( leq(host(sK8),host(sK4))
| host(sK8) = s(host(sK4))
| ~ spl13_88 ),
inference(resolution,[],[f206,f1770]) ).
fof(f3005,plain,
( leq(nbr_proc,host(sK10))
| nbr_proc = s(host(sK10)) ),
inference(resolution,[],[f206,f247]) ).
fof(f3009,definition,
( spl13_94
<=> nbr_proc = s(host(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_94])],[avatar_definition]) ).
fof(f3011,plain,
( nbr_proc = s(host(sK10))
| ~ spl13_94 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f3012,plain,
( spl13_94
| spl13_71 ),
inference(avatar_split_clause,[],[f3005,f1130,f3009]) ).
fof(f3014,definition,
( spl13_95
<=> host(sK8) = s(host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_95])],[avatar_definition]) ).
fof(f3016,plain,
( host(sK8) = s(host(sK4))
| ~ spl13_95 ),
inference(avatar_component_clause,[],[f3014]) ).
fof(f3017,plain,
( spl13_95
| spl13_89
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f2952,f1769,f1774,f3014]) ).
fof(f3041,plain,
~ spl13_71,
inference(avatar_split_clause,[],[f1338,f1130]) ).
fof(f3187,definition,
( spl13_107
<=> leq(host(sK4),nbr_proc) ),
introduced(definition,[new_symbols(definition,[spl13_107])],[avatar_definition]) ).
fof(f3189,plain,
( ~ leq(host(sK4),nbr_proc)
| spl13_107 ),
inference(avatar_component_clause,[],[f3187]) ).
fof(f3206,plain,
( $false
| spl13_107 ),
inference(resolution,[],[f3189,f119]) ).
fof(f3212,plain,
spl13_107,
inference(avatar_contradiction_clause,[],[f3206]) ).
fof(f3216,plain,
( nbr_proc = host(sK8)
| ~ spl13_94 ),
inference(superposition,[],[f244,f3011]) ).
fof(f3269,plain,
( spl13_70
| ~ spl13_94 ),
inference(avatar_split_clause,[],[f3216,f3009,f1126]) ).
fof(f3425,definition,
( spl13_110
<=> host(sK4) = host(sK8) ),
introduced(definition,[new_symbols(definition,[spl13_110])],[avatar_definition]) ).
fof(f3434,definition,
( spl13_112
<=> host(sK4) = host(sK10) ),
introduced(definition,[new_symbols(definition,[spl13_112])],[avatar_definition]) ).
fof(f3436,plain,
( host(sK4) = host(sK10)
| ~ spl13_112 ),
inference(avatar_component_clause,[],[f3434]) ).
fof(f3498,plain,
( host(sK4) = host(sK9)
| setIn(host(sK4),index(down,host(sK10)))
| ~ leq(s(zero),host(sK4))
| spl13_88 ),
inference(resolution,[],[f1842,f249]) ).
fof(f3506,plain,
( ~ spl13_18
| spl13_19
| spl13_20
| spl13_88 ),
inference(avatar_split_clause,[],[f3498,f1769,f429,f425,f421]) ).
fof(f3555,definition,
( spl13_124
<=> leq(nbr_proc,host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl13_124])],[avatar_definition]) ).
fof(f3557,plain,
( ~ leq(nbr_proc,host(sK5))
| spl13_124 ),
inference(avatar_component_clause,[],[f3555]) ).
fof(f3558,plain,
( ~ spl13_19
| ~ spl13_13
| ~ spl13_124
| ~ spl13_21
| spl13_71 ),
inference(avatar_split_clause,[],[f1362,f1130,f443,f3555,f391,f425]) ).
fof(f3559,plain,
( ~ spl13_20
| ~ spl13_66 ),
inference(avatar_split_clause,[],[f877,f858,f429]) ).
fof(f3561,plain,
( $false
| spl13_124 ),
inference(resolution,[],[f3557,f325]) ).
fof(f3565,plain,
spl13_124,
inference(avatar_contradiction_clause,[],[f3561]) ).
fof(f3566,plain,
( spl13_66
| ~ spl13_13
| ~ spl13_124
| ~ spl13_24
| spl13_71 ),
inference(avatar_split_clause,[],[f1361,f1130,f463,f3555,f391,f858]) ).
fof(f3631,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK10)
| ~ spl13_88 ),
inference(resolution,[],[f1770,f1071]) ).
fof(f3634,plain,
( spl13_112
| ~ spl13_63
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f3631,f1769,f830,f3434]) ).
fof(f3702,plain,
( ~ leq(host(sK8),host(sK8))
| leq(host(sK4),host(sK10))
| ~ spl13_95 ),
inference(superposition,[],[f924,f3016]) ).
fof(f3713,definition,
( spl13_125
<=> leq(host(sK8),host(sK8)) ),
introduced(definition,[new_symbols(definition,[spl13_125])],[avatar_definition]) ).
fof(f3715,plain,
( ~ leq(host(sK8),host(sK8))
| spl13_125 ),
inference(avatar_component_clause,[],[f3713]) ).
fof(f3716,plain,
( spl13_63
| ~ spl13_125
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f3702,f3014,f3713,f830]) ).
fof(f3719,plain,
( $false
| spl13_125 ),
inference(resolution,[],[f3715,f263]) ).
fof(f3723,plain,
spl13_125,
inference(avatar_contradiction_clause,[],[f3719]) ).
fof(f3736,plain,
( ~ leq(host(sK4),host(sK8))
| host(sK4) = host(sK8)
| ~ spl13_89 ),
inference(resolution,[],[f1775,f200]) ).
fof(f3740,plain,
( spl13_110
| ~ spl13_90
| ~ spl13_89 ),
inference(avatar_split_clause,[],[f3736,f1774,f1779,f3425]) ).
fof(f3746,plain,
( ~ leq(host(sK4),nbr_proc)
| ~ spl13_70
| spl13_90 ),
inference(superposition,[],[f1780,f1128]) ).
fof(f3747,plain,
( ~ spl13_107
| ~ spl13_70
| spl13_90 ),
inference(avatar_split_clause,[],[f3746,f1779,f1126,f3187]) ).
fof(f3748,plain,
( ~ spl13_110
| ~ spl13_66 ),
inference(avatar_split_clause,[],[f876,f858,f3425]) ).
fof(f3777,plain,
( host(sK4) != host(sK4)
| ~ spl13_112 ),
inference(superposition,[],[f242,f3436]) ).
fof(f3883,plain,
( $false
| ~ spl13_112 ),
inference(trivial_inequality_removal,[],[f3777]) ).
fof(f3884,plain,
~ spl13_112,
inference(avatar_contradiction_clause,[],[f3883]) ).
cnf(s9,plain,
spl13_8,
inference(sat_conversion,[],[f359]) ).
cnf(s15,plain,
spl13_13,
inference(sat_conversion,[],[f400]) ).
cnf(s18,plain,
( ~ spl13_8
| spl13_21 ),
inference(sat_conversion,[],[f445]) ).
cnf(s21,plain,
( ~ spl13_8
| spl13_24 ),
inference(sat_conversion,[],[f465]) ).
cnf(s43,plain,
spl13_18,
inference(sat_conversion,[],[f657]) ).
cnf(s86,plain,
( spl13_71
| spl13_94 ),
inference(sat_conversion,[],[f3012]) ).
cnf(s87,plain,
( ~ spl13_88
| spl13_89
| spl13_95 ),
inference(sat_conversion,[],[f3017]) ).
cnf(s98,plain,
~ spl13_71,
inference(sat_conversion,[],[f3041]) ).
cnf(s122,plain,
spl13_107,
inference(sat_conversion,[],[f3212]) ).
cnf(s125,plain,
( spl13_70
| ~ spl13_94 ),
inference(sat_conversion,[],[f3269]) ).
cnf(s156,plain,
( ~ spl13_18
| spl13_19
| spl13_20
| spl13_88 ),
inference(sat_conversion,[],[f3506]) ).
cnf(s168,plain,
( ~ spl13_13
| ~ spl13_19
| ~ spl13_21
| spl13_71
| ~ spl13_124 ),
inference(sat_conversion,[],[f3558]) ).
cnf(s169,plain,
( ~ spl13_20
| ~ spl13_66 ),
inference(sat_conversion,[],[f3559]) ).
cnf(s171,plain,
spl13_124,
inference(sat_conversion,[],[f3565]) ).
cnf(s172,plain,
( ~ spl13_13
| ~ spl13_24
| spl13_66
| spl13_71
| ~ spl13_124 ),
inference(sat_conversion,[],[f3566]) ).
cnf(s175,plain,
( ~ spl13_63
| ~ spl13_88
| spl13_112 ),
inference(sat_conversion,[],[f3634]) ).
cnf(s178,plain,
( spl13_63
| ~ spl13_95
| ~ spl13_125 ),
inference(sat_conversion,[],[f3716]) ).
cnf(s179,plain,
spl13_125,
inference(sat_conversion,[],[f3723]) ).
cnf(s183,plain,
( ~ spl13_89
| ~ spl13_90
| spl13_110 ),
inference(sat_conversion,[],[f3740]) ).
cnf(s184,plain,
( ~ spl13_70
| spl13_90
| ~ spl13_107 ),
inference(sat_conversion,[],[f3747]) ).
cnf(s185,plain,
( ~ spl13_66
| ~ spl13_110 ),
inference(sat_conversion,[],[f3748]) ).
cnf(s189,plain,
~ spl13_112,
inference(sat_conversion,[],[f3884]) ).
cnf(s201,plain,
( spl13_63
| ~ spl13_95 ),
inference(rat,[],[s178,s179]) ).
cnf(s202,plain,
( ~ spl13_63
| ~ spl13_88 ),
inference(rat,[],[s175,s189]) ).
cnf(s203,plain,
( ~ spl13_13
| ~ spl13_19
| ~ spl13_21
| spl13_71 ),
inference(rat,[],[s168,s171]) ).
cnf(s213,plain,
spl13_94,
inference(rat,[],[s86,s98]) ).
cnf(s214,plain,
spl13_70,
inference(rat,[],[s125,s213]) ).
cnf(s215,plain,
spl13_90,
inference(rat,[],[s184,s122,s214]) ).
cnf(s239,plain,
spl13_24,
inference(rat,[],[s21,s9]) ).
cnf(s240,plain,
spl13_21,
inference(rat,[],[s18,s9]) ).
cnf(s242,plain,
spl13_66,
inference(rat,[],[s172,s171,s98,s15,s239]) ).
cnf(s243,plain,
~ spl13_19,
inference(rat,[],[s203,s98,s15,s240]) ).
cnf(s244,plain,
~ spl13_110,
inference(rat,[],[s185,s242]) ).
cnf(s245,plain,
~ spl13_20,
inference(rat,[],[s169,s242]) ).
cnf(s247,plain,
~ spl13_89,
inference(rat,[],[s183,s215,s244]) ).
cnf(s248,plain,
spl13_88,
inference(rat,[],[s156,s243,s43,s245]) ).
cnf(s250,plain,
~ spl13_63,
inference(rat,[],[s202,s248]) ).
cnf(s251,plain,
spl13_95,
inference(rat,[],[s87,s247,s248]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s201,s251,s250]) ).
fof(f3926,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV479+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 11:09:01 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % (2326169)Will run a generic schedule for satisfiability detection.
% 0.18/0.35 % (2326179)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3763153144:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.35 % (2326175)% WARNING: option uhcvi not known.
% 0.18/0.35 % (2326174)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2647968179_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.35 % (2326175)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1471600577:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.35 % (2326176)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3531143690:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.35 % (2326177)dis+10_1_sil=32000:sp=arity:random_seed=255151238:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.35 % (2326178)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1050423258:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.35 % (2326180)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1281498937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.35 % Detected minimum model sizes of [4]
% 0.18/0.35 % Detected maximum model sizes of [max]
% 0.18/0.35 % TRYING [4]
% 0.18/0.35 % (2326179)Instruction limit reached!
% 0.18/0.35 % (2326179)------------------------------
% 0.18/0.35 % (2326179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (2326179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (2326179)CaDiCaL version: 2.1.3
% 0.18/0.35 % (2326179)Termination reason: Instruction limit
% 0.18/0.35 % (2326179)Termination phase: Saturation
% 0.18/0.35 % (2326179)Time elapsed: 0.044 s
% 0.18/0.35 % (2326179)Peak memory usage: 12 MB
% 0.18/0.35 % (2326179)Instructions burned: 132 (million)
% 0.18/0.35 % (2326188)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2150903470:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.35 % Detected minimum model sizes of [4]
% 0.18/0.35 % Detected maximum model sizes of [max]
% 0.18/0.35 % TRYING [4]
% 0.18/0.35 % TRYING [5]
% 0.18/0.35 % (2326177)Instruction limit reached!
% 0.18/0.35 % (2326177)------------------------------
% 0.18/0.35 % (2326177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (2326177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (2326177)CaDiCaL version: 2.1.3
% 0.18/0.35 % (2326177)Termination reason: Instruction limit
% 0.18/0.35 % (2326177)Termination phase: Saturation
% 0.18/0.35 % (2326177)Time elapsed: 0.067 s
% 0.18/0.35 % (2326177)Peak memory usage: 12 MB
% 0.18/0.35 % (2326177)Instructions burned: 103 (million)
% 0.18/0.35 % (2326178)Instruction limit reached!
% 0.18/0.35 % (2326178)------------------------------
% 0.18/0.35 % (2326178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (2326178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (2326178)CaDiCaL version: 2.1.3
% 0.18/0.35 % (2326178)Termination reason: Instruction limit
% 0.18/0.35 % (2326178)Termination phase: Saturation
% 0.18/0.35 % (2326178)Time elapsed: 0.073 s
% 0.18/0.35 % (2326178)Peak memory usage: 12 MB
% 0.18/0.35 % (2326178)Instructions burned: 117 (million)
% 0.18/0.35 % TRYING [5]
% 0.18/0.35 % (2326180) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2326169-2326180"...
% 0.18/0.35 % (2326190)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1321751090:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.35 % (2326180)...printing done.
% 0.18/0.35 % (2326180)Refutation found. Thanks to Tanya!
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.35 % (2326180)------------------------------
% 0.18/0.35 % (2326180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (2326180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (2326180)CaDiCaL version: 2.1.3
% 0.18/0.35 % (2326180)Termination reason: Refutation
% 0.18/0.35 % (2326180)Time elapsed: 0.090 s
% 0.18/0.35 % (2326180)Peak memory usage: 14 MB
% 0.18/0.35 % (2326180)Instructions burned: 139 (million)
% 0.18/0.35 % (2326169)Success in time 0.126 s
% 0.18/0.35 % Vampire exiting
%------------------------------------------------------------------------------