TSTP Solution File: SWV476+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:54:28 EDT 2024
% Result : Theorem 3.03s 0.84s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 55
% Syntax : Number of formulae : 340 ( 58 unt; 0 def)
% Number of atoms : 2085 ( 819 equ)
% Maximal formula atoms : 254 ( 6 avg)
% Number of connectives : 2836 (1091 ~; 966 |; 634 &)
% ( 48 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 42 ( 40 usr; 35 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 23 con; 0-2 aty)
% Number of variables : 745 ( 673 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21074,plain,
$false,
inference(avatar_sat_refutation,[],[f365,f563,f971,f1141,f1226,f1238,f1571,f1576,f1842,f1850,f2264,f3812,f4836,f5867,f7060,f13494,f13502,f14067,f18818,f18962,f18964,f18984,f18987,f18989,f19044,f19046,f19057,f20860,f20869,f20873,f20959,f21015,f21019,f21073]) ).
fof(f21073,plain,
( ~ spl16_10
| ~ spl16_33 ),
inference(avatar_contradiction_clause,[],[f21072]) ).
fof(f21072,plain,
( $false
| ~ spl16_10
| ~ spl16_33 ),
inference(subsumption_resolution,[],[f21071,f735]) ).
fof(f735,plain,
~ leq(nbr_proc,host(sK10)),
inference(superposition,[],[f341,f728]) ).
fof(f728,plain,
nbr_proc = host(sK8),
inference(subsumption_resolution,[],[f727,f239]) ).
fof(f239,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f727,plain,
( ~ leq(host(sK8),nbr_proc)
| nbr_proc = host(sK8) ),
inference(forward_demodulation,[],[f726,f222]) ).
fof(f222,plain,
host(sK8) = s(host(sK10)),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(sK10))
& host(sK8) = s(host(sK10))
& elem(m_Down(sK9),queue(host(sK10)))
& elem(m_Down(sK8),queue(host(sK10)))
& leq(nbr_proc,s(host(sK10)))
& setIn(sK10,alive)
& ! [X9] :
( host(sK9) = X9
| setIn(X9,index(down,host(sK10)))
| ~ leq(s(zero),X9)
| leq(host(sK10),X9) )
& host(sK4) != host(sK10)
& host(sK6) != host(sK10)
& host(sK4) = host(sK7)
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ( host(X12) != sK11(X12,X13)
& ~ setIn(sK11(X12,X13),index(down,host(X13)))
& leq(s(zero),sK11(X12,X13))
& ~ leq(host(X13),sK11(X12,X13)) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ( host(X17) != sK12(X17,X18)
& ~ setIn(sK12(X17,X18),index(down,host(X18)))
& leq(s(zero),sK12(X17,X18))
& ~ leq(host(X18),sK12(X17,X18)) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f146,f152,f151,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( host(X2) = host(X5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X2) != host(X8)
& host(X4) != host(X8) )
& host(X2) = host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) )
=> ( ? [X4] :
( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK4)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK4)
& host(X4) != host(X8) )
& host(X5) = host(sK4) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK4)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK4)
& host(X4) != host(X8) )
& host(X5) = host(sK4) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
=> ( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK4)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK4)
& host(X8) != host(sK6) )
& host(X5) = host(sK4) )
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK4)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK4)
& host(X8) != host(sK6) )
& host(X5) = host(sK4) )
=> ( ? [X8,X7,X6] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK4)
& host(X8) != host(sK6) )
& host(sK4) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X8,X7,X6] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK4)
& host(X8) != host(sK6) )
=> ( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(sK10))
& host(sK8) = s(host(sK10))
& elem(m_Down(sK9),queue(host(sK10)))
& elem(m_Down(sK8),queue(host(sK10)))
& leq(nbr_proc,s(host(sK10)))
& setIn(sK10,alive)
& ! [X9] :
( host(sK9) = X9
| setIn(X9,index(down,host(sK10)))
| ~ leq(s(zero),X9)
| leq(host(sK10),X9) )
& host(sK4) != host(sK10)
& host(sK6) != host(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X12,X13] :
( ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) )
=> ( host(X12) != sK11(X12,X13)
& ~ setIn(sK11(X12,X13),index(down,host(X13)))
& leq(s(zero),sK11(X12,X13))
& ~ leq(host(X13),sK11(X12,X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X17,X18] :
( ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) )
=> ( host(X17) != sK12(X17,X18)
& ~ setIn(sK12(X17,X18),index(down,host(X18)))
& leq(s(zero),sK12(X17,X18))
& ~ leq(host(X18),sK12(X17,X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( host(X2) = host(X5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X2) != host(X8)
& host(X4) != host(X8) )
& host(X2) = host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( elec_1 = index(status,host(X12))
& elec_2 = index(status,host(X9))
& host(X12) = host(X10)
& elem(m_Down(X11),queue(host(X12)))
& leq(host(X9),host(X12))
& setIn(X9,alive)
& ! [X13] :
( ( leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) = X13
| setIn(X13,index(down,host(X12))) ) ) )
=> ~ elem(m_Ack(X9,X10),queue(host(X9))) )
& ! [X14,X15,X16] :
( ( host(X15) = host(index(elid,host(X16)))
& wait = index(status,host(X16))
& host(X14) = host(X15)
& elem(m_Down(X14),queue(host(X16)))
& setIn(X16,alive)
& host(X15) != host(X16) )
=> ~ ( host(X15) = index(ldr,host(X15))
& norm = index(status,host(X15))
& setIn(X15,alive) ) )
& ! [X17,X18,X19] :
( ( host(X18) = index(ldr,host(X19))
& norm = index(status,host(X19))
& host(X18) = host(X17)
& elem(m_Down(X17),queue(host(X19)))
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ ( host(X18) = index(ldr,host(X18))
& norm = index(status,host(X18))
& setIn(X18,alive) ) )
& ! [X20,X21,X22,X23] :
( ( host(X23) = host(X22)
& host(X20) = host(X21)
& setIn(X22,alive)
& setIn(X20,alive)
& host(X22) != host(X20) )
=> ~ ( setIn(host(X21),index(down,host(X22)))
& elem(m_Down(X23),queue(host(X20))) ) )
& ! [X24,X25,X26,X27] :
( ( host(X27) = host(X26)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X26) != host(X24) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),queue(host(X24))) ) )
& ! [X28,X29,X30] :
( ( host(X28) = host(X29)
& elem(m_Down(X29),queue(host(X30)))
& setIn(X30,alive)
& ~ leq(host(X29),host(X30)) )
=> ~ ( norm = index(status,host(X28))
& host(X28) = index(ldr,host(X28))
& setIn(X28,alive) ) )
& ! [X31,X32] :
( ( host(X32) = index(ldr,host(X32))
& norm = index(status,host(X32))
& norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31))
& setIn(X32,alive)
& setIn(X31,alive) )
=> X31 = X32 )
& ! [X33,X34,X35] :
( ( host(X35) = index(ldr,host(X35))
& norm = index(status,host(X35))
& host(X35) = host(X34)
& setIn(X35,alive) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) )
& ! [X36,X37,X38] :
( ( elec_2 = index(status,host(X38))
& host(X38) = host(X37)
& elem(m_Down(X37),queue(host(X36)))
& setIn(X38,alive)
& setIn(X36,alive) )
=> leq(index(pendack,host(X38)),host(X36)) )
& ! [X39,X40] :
( ( host(X40) = index(ldr,host(X40))
& norm = index(status,host(X40))
& setIn(X40,alive) )
=> ~ ( setIn(host(X40),index(down,host(X39)))
& setIn(X39,alive) ) )
& ! [X41,X42] :
( ( elec_2 = index(status,host(X42))
& setIn(host(X42),index(down,host(X41)))
& setIn(X42,alive)
& setIn(X41,alive) )
=> leq(index(pendack,host(X42)),host(X41)) )
& ! [X43] :
( ( setIn(X43,alive)
& ( elec_2 = index(status,host(X43))
| elec_1 = index(status,host(X43)) ) )
=> index(elid,host(X43)) = X43 )
& ! [X44,X45] :
( ( host(X44) = host(X45)
& X44 != X45 )
=> ( ~ setIn(X45,alive)
| ~ setIn(X44,alive) ) )
& ! [X46,X47] :
( elem(m_Down(X47),queue(host(X46)))
=> host(X46) != host(X47) )
& ! [X48,X49] :
( elem(m_Ldr(X49),queue(host(X48)))
=> ~ leq(host(X48),host(X49)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) )
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X50) != host(X54)
=> ( host(X2) != host(X54)
=> ( ( elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ( leq(s(zero),X55)
& ~ leq(host(X54),X55) )
=> ( host(X53) = X55
| setIn(X55,index(down,host(X54))) ) ) )
=> ~ ( host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X6) != host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& elem(m_Down(X17),queue(host(X19)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X6) != host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& elem(m_Down(X17),queue(host(X19)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f726,plain,
( nbr_proc = host(sK8)
| ~ leq(s(host(sK10)),nbr_proc) ),
inference(forward_demodulation,[],[f722,f222]) ).
fof(f722,plain,
( nbr_proc = s(host(sK10))
| ~ leq(s(host(sK10)),nbr_proc) ),
inference(resolution,[],[f306,f219]) ).
fof(f219,plain,
leq(nbr_proc,s(host(sK10))),
inference(cnf_transformation,[],[f153]) ).
fof(f306,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f341,plain,
~ leq(host(sK8),host(sK10)),
inference(superposition,[],[f238,f222]) ).
fof(f238,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f21071,plain,
( leq(nbr_proc,host(sK10))
| ~ spl16_10
| ~ spl16_33 ),
inference(forward_demodulation,[],[f19052,f20900]) ).
fof(f20900,plain,
( nbr_proc = index(pendack,nbr_proc)
| ~ spl16_10 ),
inference(superposition,[],[f2196,f20885]) ).
fof(f20885,plain,
( nbr_proc = host(sK3)
| ~ spl16_10 ),
inference(forward_demodulation,[],[f1224,f2145]) ).
fof(f2145,plain,
sK3 = sK4,
inference(forward_demodulation,[],[f2144,f209]) ).
fof(f209,plain,
sK3 = index(elid,host(sK4)),
inference(cnf_transformation,[],[f153]) ).
fof(f2144,plain,
sK4 = index(elid,host(sK4)),
inference(subsumption_resolution,[],[f2137,f208]) ).
fof(f208,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f153]) ).
fof(f2137,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4)) ),
inference(trivial_inequality_removal,[],[f2135]) ).
fof(f2135,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4)) ),
inference(superposition,[],[f188,f210]) ).
fof(f210,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f153]) ).
fof(f188,plain,
! [X49] :
( elec_2 != index(status,host(X49))
| ~ setIn(X49,alive)
| index(elid,host(X49)) = X49 ),
inference(cnf_transformation,[],[f153]) ).
fof(f1224,plain,
( nbr_proc = host(sK4)
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1223,plain,
( spl16_10
<=> nbr_proc = host(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f2196,plain,
nbr_proc = index(pendack,host(sK3)),
inference(forward_demodulation,[],[f2153,f731]) ).
fof(f731,plain,
nbr_proc = host(sK5),
inference(subsumption_resolution,[],[f730,f239]) ).
fof(f730,plain,
( ~ leq(host(sK5),nbr_proc)
| nbr_proc = host(sK5) ),
inference(forward_demodulation,[],[f729,f211]) ).
fof(f211,plain,
host(sK5) = index(pendack,host(sK4)),
inference(cnf_transformation,[],[f153]) ).
fof(f729,plain,
( nbr_proc = host(sK5)
| ~ leq(index(pendack,host(sK4)),nbr_proc) ),
inference(forward_demodulation,[],[f723,f211]) ).
fof(f723,plain,
( nbr_proc = index(pendack,host(sK4))
| ~ leq(index(pendack,host(sK4)),nbr_proc) ),
inference(resolution,[],[f306,f212]) ).
fof(f212,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f153]) ).
fof(f2153,plain,
host(sK5) = index(pendack,host(sK3)),
inference(superposition,[],[f211,f2145]) ).
fof(f19052,plain,
( leq(index(pendack,nbr_proc),host(sK10))
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f19050]) ).
fof(f19050,plain,
( spl16_33
<=> leq(index(pendack,nbr_proc),host(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f21019,plain,
( ~ spl16_10
| ~ spl16_32 ),
inference(avatar_contradiction_clause,[],[f21018]) ).
fof(f21018,plain,
( $false
| ~ spl16_10
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f21017,f20885]) ).
fof(f21017,plain,
( nbr_proc != host(sK3)
| ~ spl16_32 ),
inference(forward_demodulation,[],[f21016,f2145]) ).
fof(f21016,plain,
( nbr_proc != host(sK4)
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f21009,f224]) ).
fof(f224,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f153]) ).
fof(f21009,plain,
( nbr_proc != host(sK4)
| ~ setIn(sK7,alive)
| ~ spl16_32 ),
inference(superposition,[],[f18817,f214]) ).
fof(f214,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f153]) ).
fof(f18817,plain,
( ! [X1] :
( nbr_proc != host(X1)
| ~ setIn(X1,alive) )
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f18816]) ).
fof(f18816,plain,
( spl16_32
<=> ! [X1] :
( nbr_proc != host(X1)
| ~ setIn(X1,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f21015,plain,
( ~ spl16_10
| ~ spl16_32 ),
inference(avatar_contradiction_clause,[],[f21014]) ).
fof(f21014,plain,
( $false
| ~ spl16_10
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f21013,f2149]) ).
fof(f2149,plain,
setIn(sK3,alive),
inference(superposition,[],[f224,f2141]) ).
fof(f2141,plain,
sK3 = sK7,
inference(forward_demodulation,[],[f2140,f209]) ).
fof(f2140,plain,
index(elid,host(sK4)) = sK7,
inference(forward_demodulation,[],[f2139,f214]) ).
fof(f2139,plain,
sK7 = index(elid,host(sK7)),
inference(subsumption_resolution,[],[f2138,f224]) ).
fof(f2138,plain,
( ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7)) ),
inference(subsumption_resolution,[],[f2132,f210]) ).
fof(f2132,plain,
( elec_2 != index(status,host(sK4))
| ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7)) ),
inference(superposition,[],[f188,f214]) ).
fof(f21013,plain,
( ~ setIn(sK3,alive)
| ~ spl16_10
| ~ spl16_32 ),
inference(trivial_inequality_removal,[],[f21007]) ).
fof(f21007,plain,
( nbr_proc != nbr_proc
| ~ setIn(sK3,alive)
| ~ spl16_10
| ~ spl16_32 ),
inference(superposition,[],[f18817,f20885]) ).
fof(f20959,plain,
( ~ spl16_10
| spl16_34 ),
inference(avatar_contradiction_clause,[],[f20958]) ).
fof(f20958,plain,
( $false
| ~ spl16_10
| spl16_34 ),
inference(subsumption_resolution,[],[f20888,f19056]) ).
fof(f19056,plain,
( elec_2 != index(status,nbr_proc)
| spl16_34 ),
inference(avatar_component_clause,[],[f19054]) ).
fof(f19054,plain,
( spl16_34
<=> elec_2 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
fof(f20888,plain,
( elec_2 = index(status,nbr_proc)
| ~ spl16_10 ),
inference(superposition,[],[f2152,f20885]) ).
fof(f2152,plain,
elec_2 = index(status,host(sK3)),
inference(superposition,[],[f210,f2145]) ).
fof(f20873,plain,
spl16_3,
inference(avatar_contradiction_clause,[],[f20872]) ).
fof(f20872,plain,
( $false
| spl16_3 ),
inference(subsumption_resolution,[],[f20871,f2149]) ).
fof(f20871,plain,
( ~ setIn(sK3,alive)
| spl16_3 ),
inference(subsumption_resolution,[],[f20870,f2152]) ).
fof(f20870,plain,
( elec_2 != index(status,host(sK3))
| ~ setIn(sK3,alive)
| spl16_3 ),
inference(subsumption_resolution,[],[f20846,f735]) ).
fof(f20846,plain,
( leq(nbr_proc,host(sK10))
| elec_2 != index(status,host(sK3))
| ~ setIn(sK3,alive)
| spl16_3 ),
inference(trivial_inequality_removal,[],[f20845]) ).
fof(f20845,plain,
( leq(nbr_proc,host(sK10))
| elec_2 != index(status,host(sK3))
| host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| spl16_3 ),
inference(superposition,[],[f20306,f2196]) ).
fof(f20306,plain,
( ! [X0] :
( leq(index(pendack,host(X0)),host(sK10))
| elec_2 != index(status,host(X0))
| host(X0) != host(sK3)
| ~ setIn(X0,alive) )
| spl16_3 ),
inference(forward_demodulation,[],[f2787,f13381]) ).
fof(f13381,plain,
( host(sK9) = host(sK3)
| spl16_3 ),
inference(subsumption_resolution,[],[f13380,f2164]) ).
fof(f2164,plain,
( ~ leq(host(sK10),host(sK3))
| spl16_3 ),
inference(superposition,[],[f557,f2145]) ).
fof(f557,plain,
( ~ leq(host(sK10),host(sK4))
| spl16_3 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl16_3
<=> leq(host(sK10),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f13380,plain,
( host(sK9) = host(sK3)
| leq(host(sK10),host(sK3)) ),
inference(subsumption_resolution,[],[f13379,f242]) ).
fof(f242,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f13379,plain,
( host(sK9) = host(sK3)
| ~ leq(s(zero),host(sK3))
| leq(host(sK10),host(sK3)) ),
inference(subsumption_resolution,[],[f13378,f218]) ).
fof(f218,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f153]) ).
fof(f13378,plain,
( ~ setIn(sK10,alive)
| host(sK9) = host(sK3)
| ~ leq(s(zero),host(sK3))
| leq(host(sK10),host(sK3)) ),
inference(subsumption_resolution,[],[f13374,f735]) ).
fof(f13374,plain,
( leq(nbr_proc,host(sK10))
| ~ setIn(sK10,alive)
| host(sK9) = host(sK3)
| ~ leq(s(zero),host(sK3))
| leq(host(sK10),host(sK3)) ),
inference(resolution,[],[f2445,f217]) ).
fof(f217,plain,
! [X9] :
( setIn(X9,index(down,host(sK10)))
| host(sK9) = X9
| ~ leq(s(zero),X9)
| leq(host(sK10),X9) ),
inference(cnf_transformation,[],[f153]) ).
fof(f2445,plain,
! [X0] :
( ~ setIn(host(sK3),index(down,host(X0)))
| leq(nbr_proc,host(X0))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2444,f2145]) ).
fof(f2444,plain,
! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| leq(nbr_proc,host(X0))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2443,f214]) ).
fof(f2443,plain,
! [X0] :
( leq(nbr_proc,host(X0))
| ~ setIn(host(sK7),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f2442,f210]) ).
fof(f2442,plain,
! [X0] :
( elec_2 != index(status,host(sK4))
| leq(nbr_proc,host(X0))
| ~ setIn(host(sK7),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2441,f214]) ).
fof(f2441,plain,
! [X0] :
( leq(nbr_proc,host(X0))
| elec_2 != index(status,host(sK7))
| ~ setIn(host(sK7),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2440,f731]) ).
fof(f2440,plain,
! [X0] :
( leq(host(sK5),host(X0))
| elec_2 != index(status,host(sK7))
| ~ setIn(host(sK7),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2439,f211]) ).
fof(f2439,plain,
! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(sK7))
| ~ setIn(host(sK7),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f2425,f224]) ).
fof(f2425,plain,
! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(sK7))
| ~ setIn(host(sK7),index(down,host(X0)))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive) ),
inference(superposition,[],[f189,f214]) ).
fof(f189,plain,
! [X48,X47] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) ),
inference(cnf_transformation,[],[f153]) ).
fof(f2787,plain,
! [X0] :
( elec_2 != index(status,host(X0))
| host(X0) != host(sK9)
| leq(index(pendack,host(X0)),host(sK10))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f2778,f218]) ).
fof(f2778,plain,
! [X0] :
( elec_2 != index(status,host(X0))
| host(X0) != host(sK9)
| leq(index(pendack,host(X0)),host(sK10))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive) ),
inference(resolution,[],[f191,f221]) ).
fof(f221,plain,
elem(m_Down(sK9),queue(host(sK10))),
inference(cnf_transformation,[],[f153]) ).
fof(f191,plain,
! [X44,X42,X43] :
( ~ elem(m_Down(X43),queue(host(X42)))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| leq(index(pendack,host(X44)),host(X42))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) ),
inference(cnf_transformation,[],[f153]) ).
fof(f20869,plain,
spl16_3,
inference(avatar_contradiction_clause,[],[f20868]) ).
fof(f20868,plain,
( $false
| spl16_3 ),
inference(trivial_inequality_removal,[],[f20867]) ).
fof(f20867,plain,
( host(sK3) != host(sK3)
| spl16_3 ),
inference(forward_demodulation,[],[f20866,f2145]) ).
fof(f20866,plain,
( host(sK4) != host(sK3)
| spl16_3 ),
inference(subsumption_resolution,[],[f20865,f735]) ).
fof(f20865,plain,
( leq(nbr_proc,host(sK10))
| host(sK4) != host(sK3)
| spl16_3 ),
inference(forward_demodulation,[],[f20864,f731]) ).
fof(f20864,plain,
( leq(host(sK5),host(sK10))
| host(sK4) != host(sK3)
| spl16_3 ),
inference(subsumption_resolution,[],[f20863,f208]) ).
fof(f20863,plain,
( leq(host(sK5),host(sK10))
| host(sK4) != host(sK3)
| ~ setIn(sK4,alive)
| spl16_3 ),
inference(subsumption_resolution,[],[f20844,f210]) ).
fof(f20844,plain,
( leq(host(sK5),host(sK10))
| elec_2 != index(status,host(sK4))
| host(sK4) != host(sK3)
| ~ setIn(sK4,alive)
| spl16_3 ),
inference(superposition,[],[f20306,f211]) ).
fof(f20860,plain,
spl16_3,
inference(avatar_contradiction_clause,[],[f20859]) ).
fof(f20859,plain,
( $false
| spl16_3 ),
inference(trivial_inequality_removal,[],[f20858]) ).
fof(f20858,plain,
( host(sK3) != host(sK3)
| spl16_3 ),
inference(forward_demodulation,[],[f20857,f2141]) ).
fof(f20857,plain,
( host(sK7) != host(sK3)
| spl16_3 ),
inference(subsumption_resolution,[],[f20856,f210]) ).
fof(f20856,plain,
( elec_2 != index(status,host(sK4))
| host(sK7) != host(sK3)
| spl16_3 ),
inference(forward_demodulation,[],[f20855,f214]) ).
fof(f20855,plain,
( elec_2 != index(status,host(sK7))
| host(sK7) != host(sK3)
| spl16_3 ),
inference(subsumption_resolution,[],[f20854,f735]) ).
fof(f20854,plain,
( leq(nbr_proc,host(sK10))
| elec_2 != index(status,host(sK7))
| host(sK7) != host(sK3)
| spl16_3 ),
inference(forward_demodulation,[],[f20853,f731]) ).
fof(f20853,plain,
( leq(host(sK5),host(sK10))
| elec_2 != index(status,host(sK7))
| host(sK7) != host(sK3)
| spl16_3 ),
inference(forward_demodulation,[],[f20852,f211]) ).
fof(f20852,plain,
( leq(index(pendack,host(sK4)),host(sK10))
| elec_2 != index(status,host(sK7))
| host(sK7) != host(sK3)
| spl16_3 ),
inference(subsumption_resolution,[],[f20841,f224]) ).
fof(f20841,plain,
( leq(index(pendack,host(sK4)),host(sK10))
| elec_2 != index(status,host(sK7))
| host(sK7) != host(sK3)
| ~ setIn(sK7,alive)
| spl16_3 ),
inference(superposition,[],[f20306,f214]) ).
fof(f19057,plain,
( spl16_33
| ~ spl16_34
| spl16_32 ),
inference(avatar_split_clause,[],[f2786,f18816,f19054,f19050]) ).
fof(f2786,plain,
! [X0] :
( host(X0) != nbr_proc
| elec_2 != index(status,nbr_proc)
| leq(index(pendack,nbr_proc),host(sK10))
| ~ setIn(X0,alive) ),
inference(inner_rewriting,[],[f2785]) ).
fof(f2785,plain,
! [X0] :
( host(X0) != nbr_proc
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK10))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2784,f728]) ).
fof(f2784,plain,
! [X0] :
( elec_2 != index(status,host(X0))
| host(X0) != host(sK8)
| leq(index(pendack,host(X0)),host(sK10))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f2777,f218]) ).
fof(f2777,plain,
! [X0] :
( elec_2 != index(status,host(X0))
| host(X0) != host(sK8)
| leq(index(pendack,host(X0)),host(sK10))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive) ),
inference(resolution,[],[f191,f220]) ).
fof(f220,plain,
elem(m_Down(sK8),queue(host(sK10))),
inference(cnf_transformation,[],[f153]) ).
fof(f19046,plain,
~ spl16_14,
inference(avatar_contradiction_clause,[],[f19045]) ).
fof(f19045,plain,
( $false
| ~ spl16_14 ),
inference(trivial_inequality_removal,[],[f19039]) ).
fof(f19039,plain,
( nbr_proc != nbr_proc
| ~ spl16_14 ),
inference(superposition,[],[f1570,f731]) ).
fof(f1570,plain,
( ! [X0] : host(X0) != nbr_proc
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1569,plain,
( spl16_14
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f19044,plain,
~ spl16_14,
inference(avatar_contradiction_clause,[],[f19043]) ).
fof(f19043,plain,
( $false
| ~ spl16_14 ),
inference(trivial_inequality_removal,[],[f19041]) ).
fof(f19041,plain,
( nbr_proc != nbr_proc
| ~ spl16_14 ),
inference(superposition,[],[f1570,f728]) ).
fof(f18989,plain,
( ~ spl16_13
| spl16_15 ),
inference(avatar_contradiction_clause,[],[f18988]) ).
fof(f18988,plain,
( $false
| ~ spl16_13
| spl16_15 ),
inference(subsumption_resolution,[],[f18883,f1575]) ).
fof(f1575,plain,
( nbr_proc != s(nbr_proc)
| spl16_15 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1573,plain,
( spl16_15
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f18883,plain,
( nbr_proc = s(nbr_proc)
| ~ spl16_13 ),
inference(superposition,[],[f1650,f1566]) ).
fof(f1566,plain,
( nbr_proc = host(sK10)
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1565,plain,
( spl16_13
<=> nbr_proc = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f1650,plain,
nbr_proc = s(host(sK10)),
inference(subsumption_resolution,[],[f1642,f735]) ).
fof(f1642,plain,
( nbr_proc = s(host(sK10))
| leq(nbr_proc,host(sK10)) ),
inference(resolution,[],[f303,f219]) ).
fof(f303,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f18987,plain,
~ spl16_13,
inference(avatar_contradiction_clause,[],[f18986]) ).
fof(f18986,plain,
( $false
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f18852,f237]) ).
fof(f237,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f18852,plain,
( ~ leq(nbr_proc,nbr_proc)
| ~ spl16_13 ),
inference(superposition,[],[f735,f1566]) ).
fof(f18984,plain,
~ spl16_13,
inference(avatar_contradiction_clause,[],[f18983]) ).
fof(f18983,plain,
( $false
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f18849,f728]) ).
fof(f18849,plain,
( nbr_proc != host(sK8)
| ~ spl16_13 ),
inference(superposition,[],[f573,f1566]) ).
fof(f573,plain,
host(sK10) != host(sK8),
inference(resolution,[],[f185,f220]) ).
fof(f185,plain,
! [X52,X53] :
( ~ elem(m_Down(X53),queue(host(X52)))
| host(X52) != host(X53) ),
inference(cnf_transformation,[],[f153]) ).
fof(f18964,plain,
~ spl16_13,
inference(avatar_contradiction_clause,[],[f18963]) ).
fof(f18963,plain,
( $false
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f18827,f239]) ).
fof(f18827,plain,
( ~ leq(host(sK8),nbr_proc)
| ~ spl16_13 ),
inference(superposition,[],[f341,f1566]) ).
fof(f18962,plain,
( ~ spl16_13
| spl16_15 ),
inference(avatar_contradiction_clause,[],[f18961]) ).
fof(f18961,plain,
( $false
| ~ spl16_13
| spl16_15 ),
inference(subsumption_resolution,[],[f18960,f1575]) ).
fof(f18960,plain,
( nbr_proc = s(nbr_proc)
| ~ spl16_13 ),
inference(forward_demodulation,[],[f18825,f728]) ).
fof(f18825,plain,
( host(sK8) = s(nbr_proc)
| ~ spl16_13 ),
inference(superposition,[],[f222,f1566]) ).
fof(f18818,plain,
( spl16_31
| spl16_32
| spl16_13 ),
inference(avatar_split_clause,[],[f2985,f1565,f18816,f18813]) ).
fof(f18813,plain,
( spl16_31
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f2985,plain,
( ! [X0,X1] :
( nbr_proc != host(X1)
| ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK10)
| ~ setIn(X1,alive) )
| spl16_13 ),
inference(subsumption_resolution,[],[f2984,f1567]) ).
fof(f1567,plain,
( nbr_proc != host(sK10)
| spl16_13 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f2984,plain,
! [X0,X1] :
( nbr_proc != host(X1)
| ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK10)
| ~ setIn(X1,alive)
| nbr_proc = host(sK10) ),
inference(inner_rewriting,[],[f2983]) ).
fof(f2983,plain,
! [X0,X1] :
( nbr_proc != host(X1)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK10)
| ~ setIn(X1,alive)
| host(X1) = host(sK10) ),
inference(forward_demodulation,[],[f2982,f728]) ).
fof(f2982,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| host(X1) != host(sK8)
| host(X0) != host(sK10)
| ~ setIn(X1,alive)
| host(X1) = host(sK10) ),
inference(subsumption_resolution,[],[f2975,f218]) ).
fof(f2975,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| host(X1) != host(sK8)
| host(X0) != host(sK10)
| ~ setIn(X1,alive)
| ~ setIn(sK10,alive)
| host(X1) = host(sK10) ),
inference(resolution,[],[f195,f220]) ).
fof(f195,plain,
! [X31,X32,X30,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ elem(m_Down(X31),queue(host(X32)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) ),
inference(cnf_transformation,[],[f153]) ).
fof(f14067,plain,
( ~ spl16_3
| spl16_10 ),
inference(avatar_contradiction_clause,[],[f14066]) ).
fof(f14066,plain,
( $false
| ~ spl16_3
| spl16_10 ),
inference(trivial_inequality_removal,[],[f14065]) ).
fof(f14065,plain,
( host(sK3) != host(sK3)
| ~ spl16_3
| spl16_10 ),
inference(forward_demodulation,[],[f13935,f2145]) ).
fof(f13935,plain,
( host(sK4) != host(sK3)
| ~ spl16_3
| spl16_10 ),
inference(superposition,[],[f216,f13931]) ).
fof(f13931,plain,
( host(sK10) = host(sK3)
| ~ spl16_3
| spl16_10 ),
inference(subsumption_resolution,[],[f13917,f13519]) ).
fof(f13519,plain,
( leq(host(sK10),host(sK3))
| ~ spl16_3 ),
inference(forward_demodulation,[],[f558,f2145]) ).
fof(f558,plain,
( leq(host(sK10),host(sK4))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f13917,plain,
( host(sK10) = host(sK3)
| ~ leq(host(sK10),host(sK3))
| ~ spl16_3
| spl16_10 ),
inference(resolution,[],[f13879,f306]) ).
fof(f13879,plain,
( leq(host(sK3),host(sK10))
| ~ spl16_3
| spl16_10 ),
inference(subsumption_resolution,[],[f13765,f340]) ).
fof(f340,plain,
leq(nbr_proc,host(sK8)),
inference(superposition,[],[f219,f222]) ).
fof(f13765,plain,
( ~ leq(nbr_proc,host(sK8))
| leq(host(sK3),host(sK10))
| ~ spl16_3
| spl16_10 ),
inference(superposition,[],[f440,f13575]) ).
fof(f13575,plain,
( nbr_proc = s(host(sK3))
| ~ spl16_3
| spl16_10 ),
inference(subsumption_resolution,[],[f13561,f13506]) ).
fof(f13506,plain,
( ~ leq(nbr_proc,host(sK3))
| spl16_10 ),
inference(subsumption_resolution,[],[f13505,f1225]) ).
fof(f1225,plain,
( nbr_proc != host(sK4)
| spl16_10 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f13505,plain,
( nbr_proc = host(sK4)
| ~ leq(nbr_proc,host(sK3)) ),
inference(forward_demodulation,[],[f13504,f214]) ).
fof(f13504,plain,
( ~ leq(nbr_proc,host(sK3))
| nbr_proc = host(sK7) ),
inference(forward_demodulation,[],[f6618,f2145]) ).
fof(f6618,plain,
( ~ leq(nbr_proc,host(sK4))
| nbr_proc = host(sK7) ),
inference(superposition,[],[f709,f214]) ).
fof(f709,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f306,f239]) ).
fof(f13561,plain,
( nbr_proc = s(host(sK3))
| leq(nbr_proc,host(sK3))
| ~ spl16_3 ),
inference(resolution,[],[f13533,f303]) ).
fof(f13533,plain,
( leq(nbr_proc,s(host(sK3)))
| ~ spl16_3 ),
inference(resolution,[],[f13519,f745]) ).
fof(f745,plain,
! [X0] :
( ~ leq(host(sK10),X0)
| leq(nbr_proc,s(X0)) ),
inference(superposition,[],[f422,f728]) ).
fof(f422,plain,
! [X0] :
( leq(host(sK8),s(X0))
| ~ leq(host(sK10),X0) ),
inference(superposition,[],[f283,f222]) ).
fof(f283,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f440,plain,
! [X0] :
( ~ leq(s(X0),host(sK8))
| leq(X0,host(sK10)) ),
inference(superposition,[],[f284,f222]) ).
fof(f284,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f216,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f153]) ).
fof(f13502,plain,
( spl16_29
| spl16_30
| spl16_3 ),
inference(avatar_split_clause,[],[f13409,f556,f13500,f13496]) ).
fof(f13496,plain,
( spl16_29
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
fof(f13500,plain,
( spl16_30
<=> ! [X0] : ~ elem(m_Ack(sK9,X0),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f13409,plain,
( ! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK3)))
| setIn(sK9,pids) )
| spl16_3 ),
inference(superposition,[],[f271,f13381]) ).
fof(f271,plain,
! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f13494,plain,
( ~ spl16_27
| spl16_28
| spl16_3 ),
inference(avatar_split_clause,[],[f13437,f556,f13491,f13487]) ).
fof(f13487,plain,
( spl16_27
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f13491,plain,
( spl16_28
<=> sK3 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f13437,plain,
( sK3 = sK9
| ~ setIn(sK9,alive)
| spl16_3 ),
inference(trivial_inequality_removal,[],[f13436]) ).
fof(f13436,plain,
( host(sK3) != host(sK3)
| sK3 = sK9
| ~ setIn(sK9,alive)
| spl16_3 ),
inference(superposition,[],[f7938,f13381]) ).
fof(f7938,plain,
! [X0] :
( host(X0) != host(sK3)
| sK3 = X0
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f7937,f2141]) ).
fof(f7937,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive)
| sK7 = X0 ),
inference(forward_demodulation,[],[f1491,f2145]) ).
fof(f1491,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(X0,alive)
| sK7 = X0 ),
inference(subsumption_resolution,[],[f1483,f224]) ).
fof(f1483,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| sK7 = X0 ),
inference(superposition,[],[f186,f214]) ).
fof(f186,plain,
! [X50,X51] :
( host(X50) != host(X51)
| ~ setIn(X50,alive)
| ~ setIn(X51,alive)
| X50 = X51 ),
inference(cnf_transformation,[],[f153]) ).
fof(f7060,plain,
( ~ spl16_25
| spl16_26 ),
inference(avatar_split_clause,[],[f6936,f7058,f7054]) ).
fof(f7054,plain,
( spl16_25
<=> leq(nbr_proc,s(s(zero))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f7058,plain,
( spl16_26
<=> ! [X0] : leq(host(sK10),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f6936,plain,
! [X0] :
( leq(host(sK10),host(X0))
| ~ leq(nbr_proc,s(s(zero))) ),
inference(resolution,[],[f831,f747]) ).
fof(f747,plain,
! [X0] :
( leq(host(sK10),X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[],[f439,f728]) ).
fof(f439,plain,
! [X0] :
( ~ leq(host(sK8),s(X0))
| leq(host(sK10),X0) ),
inference(superposition,[],[f284,f222]) ).
fof(f831,plain,
! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) ),
inference(resolution,[],[f316,f242]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f5867,plain,
( spl16_24
| spl16_23 ),
inference(avatar_split_clause,[],[f204,f4834,f5865]) ).
fof(f5865,plain,
( spl16_24
<=> ! [X13,X12,X11] :
( elec_1 != index(status,host(X13))
| leq(s(zero),sK11(X12,X13))
| ~ setIn(X13,alive)
| ~ leq(nbr_proc,s(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ elem(m_Down(X11),queue(host(X13)))
| s(host(X13)) != host(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f4834,plain,
( spl16_23
<=> ! [X10] :
( norm != index(status,host(X10))
| ~ setIn(X10,alive)
| host(X10) != index(ldr,host(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f204,plain,
! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| leq(s(zero),sK11(X12,X13)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f4836,plain,
( spl16_22
| spl16_23 ),
inference(avatar_split_clause,[],[f203,f4834,f4831]) ).
fof(f4831,plain,
( spl16_22
<=> ! [X13,X12,X11] :
( elec_1 != index(status,host(X13))
| ~ leq(host(X13),sK11(X12,X13))
| ~ setIn(X13,alive)
| ~ leq(nbr_proc,s(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ elem(m_Down(X11),queue(host(X13)))
| s(host(X13)) != host(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f203,plain,
! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ~ leq(host(X13),sK11(X12,X13)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f3812,plain,
( spl16_20
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f3691,f3809,f3806]) ).
fof(f3806,plain,
( spl16_20
<=> ! [X0] : ~ elem(m_Ldr(X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f3809,plain,
( spl16_21
<=> leq(host(sK3),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f3691,plain,
! [X0] :
( ~ leq(host(sK3),zero)
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f838,f2161]) ).
fof(f2161,plain,
! [X0] :
( ~ leq(host(sK3),host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(superposition,[],[f546,f2145]) ).
fof(f546,plain,
! [X0] :
( ~ leq(host(sK4),host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f184,f500]) ).
fof(f500,plain,
! [X0] :
( elem(X0,queue(host(sK4)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f323,f207]) ).
fof(f207,plain,
queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2),
inference(cnf_transformation,[],[f153]) ).
fof(f323,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f184,plain,
! [X54,X55] :
( ~ elem(m_Ldr(X55),queue(host(X54)))
| ~ leq(host(X54),host(X55)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f838,plain,
! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ),
inference(resolution,[],[f316,f469]) ).
fof(f469,plain,
! [X0] : leq(zero,host(X0)),
inference(resolution,[],[f432,f242]) ).
fof(f432,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) ),
inference(resolution,[],[f284,f305]) ).
fof(f305,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f2264,plain,
spl16_12,
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2263,plain,
( $false
| spl16_12 ),
inference(subsumption_resolution,[],[f2262,f2180]) ).
fof(f2180,plain,
( ~ setIn(sK3,pids)
| spl16_12 ),
inference(superposition,[],[f1236,f2145]) ).
fof(f1236,plain,
( ~ setIn(sK4,pids)
| spl16_12 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1235,plain,
( spl16_12
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f2262,plain,
setIn(sK3,pids),
inference(resolution,[],[f2157,f271]) ).
fof(f2157,plain,
elem(m_Ack(sK3,sK5),queue(host(sK3))),
inference(superposition,[],[f355,f2145]) ).
fof(f355,plain,
elem(m_Ack(sK3,sK5),queue(host(sK4))),
inference(superposition,[],[f338,f207]) ).
fof(f338,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f322]) ).
fof(f322,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f183]) ).
fof(f1850,plain,
( spl16_18
| spl16_19 ),
inference(avatar_split_clause,[],[f1230,f1848,f1844]) ).
fof(f1844,plain,
( spl16_18
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f1848,plain,
( spl16_19
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f1230,plain,
! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(nbr_proc))
| setIn(sK5,pids) ),
inference(superposition,[],[f271,f731]) ).
fof(f1842,plain,
( spl16_16
| spl16_17 ),
inference(avatar_split_clause,[],[f1229,f1840,f1836]) ).
fof(f1836,plain,
( spl16_16
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f1840,plain,
( spl16_17
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f1229,plain,
! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(nbr_proc))
| setIn(sK8,pids) ),
inference(superposition,[],[f271,f728]) ).
fof(f1576,plain,
( ~ spl16_15
| spl16_14 ),
inference(avatar_split_clause,[],[f1559,f1569,f1573]) ).
fof(f1559,plain,
! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) ),
inference(inner_rewriting,[],[f1558]) ).
fof(f1558,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != s(nbr_proc) ),
inference(forward_demodulation,[],[f1554,f728]) ).
fof(f1554,plain,
! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != host(sK8) ),
inference(superposition,[],[f270,f728]) ).
fof(f270,plain,
! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_01) ).
fof(f1571,plain,
( ~ spl16_13
| spl16_14 ),
inference(avatar_split_clause,[],[f1563,f1569,f1565]) ).
fof(f1563,plain,
! [X0] :
( host(X0) != nbr_proc
| nbr_proc != host(sK10) ),
inference(inner_rewriting,[],[f1562]) ).
fof(f1562,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != host(sK10) ),
inference(forward_demodulation,[],[f1556,f728]) ).
fof(f1556,plain,
! [X0] :
( host(X0) != host(sK8)
| host(X0) != host(sK10) ),
inference(superposition,[],[f270,f222]) ).
fof(f1238,plain,
( spl16_11
| spl16_12 ),
inference(avatar_split_clause,[],[f1227,f1235,f1232]) ).
fof(f1232,plain,
( spl16_11
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f1227,plain,
! [X0] :
( setIn(sK4,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ),
inference(resolution,[],[f271,f500]) ).
fof(f1226,plain,
( ~ spl16_9
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f768,f1223,f1219]) ).
fof(f1219,plain,
( spl16_9
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f768,plain,
( nbr_proc != host(sK4)
| ~ elem(m_Down(sK8),sK2) ),
inference(superposition,[],[f575,f728]) ).
fof(f575,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),sK2) ),
inference(resolution,[],[f185,f500]) ).
fof(f1141,plain,
( ~ spl16_7
| spl16_8 ),
inference(avatar_split_clause,[],[f716,f1138,f1134]) ).
fof(f1134,plain,
( spl16_7
<=> leq(host(sK10),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f1138,plain,
( spl16_8
<=> zero = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f716,plain,
( zero = host(sK10)
| ~ leq(host(sK10),zero) ),
inference(resolution,[],[f306,f451]) ).
fof(f451,plain,
leq(zero,host(sK10)),
inference(resolution,[],[f440,f242]) ).
fof(f971,plain,
( spl16_5
| spl16_6 ),
inference(avatar_split_clause,[],[f893,f968,f964]) ).
fof(f964,plain,
( spl16_5
<=> setIn(host(sK6),index(acks,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f968,plain,
( spl16_6
<=> nbr_proc = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f893,plain,
( nbr_proc = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(forward_demodulation,[],[f213,f731]) ).
fof(f213,plain,
( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(cnf_transformation,[],[f153]) ).
fof(f563,plain,
( spl16_3
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f549,f560,f556]) ).
fof(f560,plain,
( spl16_4
<=> elem(m_Ldr(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f549,plain,
( ~ elem(m_Ldr(sK8),sK2)
| leq(host(sK10),host(sK4)) ),
inference(resolution,[],[f546,f399]) ).
fof(f399,plain,
! [X0] :
( leq(X0,host(sK8))
| leq(host(sK10),X0) ),
inference(resolution,[],[f381,f267]) ).
fof(f267,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f381,plain,
! [X0] :
( ~ leq(X0,host(sK10))
| leq(X0,host(sK8)) ),
inference(superposition,[],[f305,f222]) ).
fof(f365,plain,
( spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f352,f362,f358]) ).
fof(f358,plain,
( spl16_1
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f362,plain,
( spl16_2
<=> ordered(queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f352,plain,
( ~ ordered(queue(host(sK4)))
| ordered(sK2) ),
inference(superposition,[],[f291,f207]) ).
fof(f291,plain,
! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:57:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (16130)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16134)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (16133)WARNING: value z3 for option sas not known
% 0.14/0.37 % (16131)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (16132)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (16135)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (16133)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (16137)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (16136)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 Detected minimum model sizes of [4]
% 0.14/0.39 Detected maximum model sizes of [max]
% 0.14/0.39 TRYING [4]
% 0.20/0.46 TRYING [5]
% 0.20/0.46 Detected minimum model sizes of [4]
% 0.20/0.46 Detected maximum model sizes of [max]
% 0.20/0.47 TRYING [4]
% 1.56/0.56 TRYING [6]
% 2.66/0.72 TRYING [5]
% 2.66/0.73 TRYING [7]
% 3.03/0.84 % (16133)First to succeed.
% 3.03/0.84 % (16133)Refutation found. Thanks to Tanya!
% 3.03/0.84 % SZS status Theorem for theBenchmark
% 3.03/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/0.85 % (16133)------------------------------
% 3.03/0.85 % (16133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.03/0.85 % (16133)Termination reason: Refutation
% 3.03/0.85
% 3.03/0.85 % (16133)Memory used [KB]: 9055
% 3.03/0.85 % (16133)Time elapsed: 0.472 s
% 3.03/0.85 % (16133)Instructions burned: 1320 (million)
% 3.03/0.85 % (16133)------------------------------
% 3.03/0.85 % (16133)------------------------------
% 3.03/0.85 % (16130)Success in time 0.485 s
%------------------------------------------------------------------------------