TSTP Solution File: SWV468+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV468+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 : n007.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 16:54:11 EDT 2024
% Result : Theorem 6.21s 1.27s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 102
% Syntax : Number of formulae : 566 ( 206 unt; 0 def)
% Number of atoms : 2314 ( 876 equ)
% Maximal formula atoms : 218 ( 4 avg)
% Number of connectives : 2974 (1226 ~; 984 |; 593 &)
% ( 60 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 35 ( 33 usr; 27 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 22 con; 0-2 aty)
% Number of variables : 1224 (1171 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30949,plain,
$false,
inference(avatar_sat_refutation,[],[f363,f629,f748,f756,f1195,f1215,f2982,f3346,f3471,f3584,f3587,f4859,f5203,f5292,f5390,f8518,f30947]) ).
fof(f30947,plain,
~ spl12_11,
inference(avatar_contradiction_clause,[],[f30946]) ).
fof(f30946,plain,
( $false
| ~ spl12_11 ),
inference(trivial_inequality_removal,[],[f30943]) ).
fof(f30943,plain,
( host(sK4) != host(sK4)
| ~ spl12_11 ),
inference(resolution,[],[f30942,f540]) ).
fof(f540,plain,
elem(m_Down(sK4),queue(nbr_proc)),
inference(superposition,[],[f347,f531]) ).
fof(f531,plain,
nbr_proc = host(sK3),
inference(subsumption_resolution,[],[f530,f232]) ).
fof(f232,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(f530,plain,
( nbr_proc = host(sK3)
| ~ leq(host(sK3),nbr_proc) ),
inference(resolution,[],[f299,f210]) ).
fof(f210,plain,
leq(nbr_proc,host(sK3)),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( host(sK3) = host(sK6)
& setIn(sK6,alive)
& elec_2 = index(status,host(sK7))
& setIn(sK7,alive)
& ~ leq(index(pendack,host(sK7)),host(sK6))
& host(sK3) != host(sK7)
& host(sK3) = host(sK6)
& ~ setIn(host(sK5),setEmpty)
& leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X6] :
( host(sK4) = X6
| setIn(X6,index(down,host(sK3)))
| ~ leq(s(zero),X6)
| leq(host(sK3),X6) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ( host(X8) != sK8(X8,X9)
& ~ setIn(sK8(X8,X9),index(down,host(X9)))
& leq(s(zero),sK8(X8,X9))
& ~ leq(host(X9),sK8(X8,X9)) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f146,f151,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X1) != host(X5) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X6] :
( host(X2) = X6
| setIn(X6,index(down,host(X1)))
| ~ leq(s(zero),X6)
| leq(host(X1),X6) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X4) = host(sK3)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK3) )
& host(X4) = host(sK3) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X6] :
( host(sK4) = X6
| setIn(X6,index(down,host(sK3)))
| ~ leq(s(zero),X6)
| leq(host(sK3),X6) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X4) = host(sK3)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK3) )
& host(X4) = host(sK3) )
& ~ setIn(host(X3),setEmpty) )
=> ( ? [X4] :
( ? [X5] :
( host(X4) = host(sK3)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK3) )
& host(X4) = host(sK3) )
& ~ setIn(host(sK5),setEmpty) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X4] :
( ? [X5] :
( host(X4) = host(sK3)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK3) )
& host(X4) = host(sK3) )
=> ( ? [X5] :
( host(sK3) = host(sK6)
& setIn(sK6,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(sK6))
& host(X5) != host(sK3) )
& host(sK3) = host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X5] :
( host(sK3) = host(sK6)
& setIn(sK6,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(sK6))
& host(X5) != host(sK3) )
=> ( host(sK3) = host(sK6)
& setIn(sK6,alive)
& elec_2 = index(status,host(sK7))
& setIn(sK7,alive)
& ~ leq(index(pendack,host(sK7)),host(sK6))
& host(sK3) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X8,X9] :
( ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) )
=> ( host(X8) != sK8(X8,X9)
& ~ setIn(sK8(X8,X9),index(down,host(X9)))
& leq(s(zero),sK8(X8,X9))
& ~ leq(host(X9),sK8(X8,X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X1) != host(X5) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X6] :
( host(X2) = X6
| setIn(X6,index(down,host(X1)))
| ~ leq(s(zero),X6)
| leq(host(X1),X6) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( host(X2) = host(X45)
& setIn(X45,alive)
& elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( host(X2) = host(X45)
& setIn(X45,alive)
& elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( ( elec_1 = index(status,host(X6))
& elem(m_Down(X5),queue(host(X6)))
& ~ leq(host(X6),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X6),X7) )
=> ( host(X5) = X7
| setIn(X7,index(down,host(X6))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X8,X9,X10] :
( ( elec_2 = index(status,host(X10))
& host(X8) = host(X9)
& elem(m_Down(X9),queue(host(X10)))
& setIn(X10,alive) )
=> ~ ( norm = index(status,host(X8))
& host(X8) = index(ldr,host(X8))
& setIn(X8,alive) ) )
& ! [X11,X12] :
( ( elec_2 = index(status,host(X12))
& elec_2 = index(status,host(X11))
& setIn(X12,alive)
& setIn(X11,alive)
& ~ leq(host(X11),host(X12)) )
=> ~ leq(index(pendack,host(X11)),index(pendack,host(X12))) )
& ! [X13,X14] :
( ( elec_2 = index(status,host(X14))
& setIn(X14,alive)
& ~ leq(index(pendack,host(X14)),host(X13)) )
=> ~ ( norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X13,alive) ) )
& ! [X15,X16,X17] :
( ( host(X17) = index(ldr,host(X17))
& norm = index(status,host(X17))
& host(X16) = host(X17)
& setIn(X17,alive) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& setIn(X15,alive) ) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& host(X20) = host(X19)
& elem(m_Down(X19),queue(host(X18)))
& setIn(X20,alive)
& setIn(X18,alive) )
=> leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22,X23] :
( ( elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X21))
& host(X23) = host(X22)
& setIn(X23,alive)
& setIn(X21,alive) )
=> ~ elem(m_Ack(X21,X22),queue(host(X21))) )
& ! [X24,X25,X26] :
( ( host(X24) = host(X25)
& elem(m_Ack(X26,X25),queue(host(X26)))
& setIn(X26,alive) )
=> ~ ( norm = index(status,host(X24))
& host(X24) = index(ldr,host(X24))
& setIn(X24,alive) ) )
& ! [X27,X28] :
( ( elec_2 = index(status,host(X28))
& elec_2 = index(status,host(X27))
& setIn(X28,alive)
& setIn(X27,alive)
& ~ leq(host(X27),host(X28)) )
=> leq(index(pendack,host(X28)),host(X27)) )
& ! [X29,X30,X31] :
( ( elec_2 = index(status,host(X31))
& host(X31) = host(X30)
& setIn(X31,alive)
& setIn(X29,alive)
& ~ leq(host(X31),host(X29)) )
=> ~ elem(m_Down(X30),queue(host(X29))) )
& ! [X32,X33] :
( ( host(X33) = index(ldr,host(X33))
& norm = index(status,host(X33))
& setIn(X33,alive) )
=> ~ ( setIn(host(X33),index(down,host(X32)))
& setIn(X32,alive) ) )
& ! [X34,X35] :
( ( elec_2 = index(status,host(X35))
& setIn(host(X35),index(down,host(X34)))
& setIn(X35,alive)
& setIn(X34,alive) )
=> leq(index(pendack,host(X35)),host(X34)) )
& ! [X36] :
( ( setIn(X36,alive)
& ( elec_2 = index(status,host(X36))
| elec_1 = index(status,host(X36)) ) )
=> index(elid,host(X36)) = X36 )
& ! [X37,X38] :
( ( elec_2 = index(status,host(X38))
& setIn(X38,alive) )
=> ~ elem(m_Ack(X37,X38),queue(host(X37))) )
& ! [X39,X40] :
( ( host(X39) = host(X40)
& X39 != X40 )
=> ( ~ setIn(X40,alive)
| ~ setIn(X39,alive) ) )
& ! [X41,X42] :
( elem(m_Ldr(X42),queue(host(X41)))
=> ~ leq(host(X41),host(X42)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( elec_1 = index(status,host(X2))
& ! [X43] :
( ( leq(s(zero),X43)
& ~ leq(host(X2),X43) )
=> ( host(X3) = X43
| setIn(X43,index(down,host(X2))) ) ) )
=> ( leq(nbr_proc,host(X2))
=> ! [X44] :
( ~ setIn(host(X44),setEmpty)
=> ! [X45] :
( host(X2) = host(X45)
=> ! [X46] :
( host(X2) != host(X46)
=> ( ( elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45)) )
=> ~ ( host(X2) = host(X45)
& setIn(X45,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [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,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(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] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( leq(nbr_proc,host(X4))
=> ! [X6] :
( ~ setIn(host(X6),setEmpty)
=> ! [X15] :
( host(X4) = host(X15)
=> ! [X16] :
( host(X4) != host(X16)
=> ( ( elec_2 = index(status,host(X16))
& setIn(X16,alive)
& ~ leq(index(pendack,host(X16)),host(X15)) )
=> ~ ( host(X4) = host(X15)
& setIn(X15,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [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,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(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] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( leq(nbr_proc,host(X4))
=> ! [X6] :
( ~ setIn(host(X6),setEmpty)
=> ! [X15] :
( host(X4) = host(X15)
=> ! [X16] :
( host(X4) != host(X16)
=> ( ( elec_2 = index(status,host(X16))
& setIn(X16,alive)
& ~ leq(index(pendack,host(X16)),host(X15)) )
=> ~ ( host(X4) = host(X15)
& setIn(X15,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f299,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f177]) ).
fof(f177,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(f347,plain,
elem(m_Down(sK4),queue(host(sK3))),
inference(superposition,[],[f331,f203]) ).
fof(f203,plain,
queue(host(sK3)) = cons(m_Down(sK4),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f331,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f315]) ).
fof(f315,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[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(flattening,[],[f181]) ).
fof(f181,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(f30942,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK4) )
| ~ spl12_11 ),
inference(forward_demodulation,[],[f30941,f2977]) ).
fof(f2977,plain,
( host(sK4) = host(sK7)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f2975,plain,
( spl12_11
<=> host(sK4) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f30941,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK7) ),
inference(subsumption_resolution,[],[f30940,f215]) ).
fof(f215,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f30940,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK7)
| ~ setIn(sK7,alive) ),
inference(subsumption_resolution,[],[f30931,f535]) ).
fof(f535,plain,
~ leq(index(pendack,host(sK7)),nbr_proc),
inference(superposition,[],[f334,f531]) ).
fof(f334,plain,
~ leq(index(pendack,host(sK7)),host(sK3)),
inference(forward_demodulation,[],[f214,f212]) ).
fof(f212,plain,
host(sK3) = host(sK6),
inference(cnf_transformation,[],[f152]) ).
fof(f214,plain,
~ leq(index(pendack,host(sK7)),host(sK6)),
inference(cnf_transformation,[],[f152]) ).
fof(f30931,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| leq(index(pendack,host(sK7)),nbr_proc)
| host(X0) != host(sK7)
| ~ setIn(sK7,alive) ),
inference(trivial_inequality_removal,[],[f30928]) ).
fof(f30928,plain,
! [X0] :
( elec_2 != elec_2
| ~ elem(m_Down(X0),queue(nbr_proc))
| leq(index(pendack,host(sK7)),nbr_proc)
| host(X0) != host(sK7)
| ~ setIn(sK7,alive) ),
inference(superposition,[],[f3635,f216]) ).
fof(f216,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f152]) ).
fof(f3635,plain,
! [X0,X1] :
( elec_2 != index(status,host(X1))
| ~ elem(m_Down(X0),queue(nbr_proc))
| leq(index(pendack,host(X1)),nbr_proc)
| host(X0) != host(X1)
| ~ setIn(X1,alive) ),
inference(forward_demodulation,[],[f3634,f531]) ).
fof(f3634,plain,
! [X0,X1] :
( leq(index(pendack,host(X1)),host(sK3))
| ~ elem(m_Down(X0),queue(nbr_proc))
| elec_2 != index(status,host(X1))
| host(X0) != host(X1)
| ~ setIn(X1,alive) ),
inference(forward_demodulation,[],[f3633,f212]) ).
fof(f3633,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| elec_2 != index(status,host(X1))
| host(X0) != host(X1)
| leq(index(pendack,host(X1)),host(sK6))
| ~ setIn(X1,alive) ),
inference(forward_demodulation,[],[f3632,f531]) ).
fof(f3632,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| elec_2 != index(status,host(X1))
| host(X0) != host(X1)
| leq(index(pendack,host(X1)),host(sK6))
| ~ setIn(X1,alive) ),
inference(subsumption_resolution,[],[f3625,f217]) ).
fof(f217,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f3625,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| elec_2 != index(status,host(X1))
| host(X0) != host(X1)
| leq(index(pendack,host(X1)),host(sK6))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive) ),
inference(superposition,[],[f194,f212]) ).
fof(f194,plain,
! [X21,X22,X23] :
( ~ elem(m_Down(X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| leq(index(pendack,host(X23)),host(X21))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f8518,plain,
( spl12_25
| spl12_26 ),
inference(avatar_split_clause,[],[f5945,f8515,f8511]) ).
fof(f8511,plain,
( spl12_25
<=> elem(last(queue(nbr_proc)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f8515,plain,
( spl12_26
<=> m_Down(sK4) = last(queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f5945,plain,
( m_Down(sK4) = last(queue(nbr_proc))
| elem(last(queue(nbr_proc)),sK2) ),
inference(subsumption_resolution,[],[f5942,f541]) ).
fof(f541,plain,
q_nil != queue(nbr_proc),
inference(superposition,[],[f348,f531]) ).
fof(f348,plain,
q_nil != queue(host(sK3)),
inference(superposition,[],[f255,f203]) ).
fof(f255,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f5942,plain,
( m_Down(sK4) = last(queue(nbr_proc))
| elem(last(queue(nbr_proc)),sK2)
| q_nil = queue(nbr_proc) ),
inference(resolution,[],[f1710,f657]) ).
fof(f657,plain,
! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ),
inference(superposition,[],[f330,f239]) ).
fof(f239,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f330,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f312]) ).
fof(f312,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f1710,plain,
! [X0] :
( ~ elem(X0,queue(nbr_proc))
| m_Down(sK4) = X0
| elem(X0,sK2) ),
inference(forward_demodulation,[],[f1707,f531]) ).
fof(f1707,plain,
! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Down(sK4) = X0
| elem(X0,sK2) ),
inference(superposition,[],[f314,f203]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f5390,plain,
( ~ spl12_23
| spl12_24 ),
inference(avatar_split_clause,[],[f2018,f5387,f5383]) ).
fof(f5383,plain,
( spl12_23
<=> leq(s(nbr_proc),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f5387,plain,
( spl12_24
<=> host(sK4) = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f2018,plain,
( host(sK4) = s(nbr_proc)
| ~ leq(s(nbr_proc),host(sK4)) ),
inference(resolution,[],[f2000,f299]) ).
fof(f2000,plain,
leq(host(sK4),s(nbr_proc)),
inference(resolution,[],[f1955,f205]) ).
fof(f205,plain,
~ leq(host(sK3),host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f1955,plain,
! [X0,X1] :
( leq(X0,s(nbr_proc))
| leq(host(X1),X0) ),
inference(resolution,[],[f1488,f231]) ).
fof(f231,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(f1488,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,nbr_proc)
| leq(host(X2),X0) ),
inference(resolution,[],[f615,f260]) ).
fof(f260,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(f615,plain,
! [X2,X0,X1] :
( ~ leq(X1,host(X2))
| leq(X1,X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f603,f309]) ).
fof(f309,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(f603,plain,
! [X0,X1] :
( leq(host(X1),X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f585,f260]) ).
fof(f585,plain,
! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) ),
inference(global_subsumption,[],[f218,f214,f211,f208,f207,f206,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f239,f240,f241,f263,f265,f264,f283,f282,f278,f292,f291,f287,f327,f296,f328,f329,f307,f310,f311,f314,f317,f318,f219,f204,f215,f217,f220,f221,f222,f223,f224,f225,f226,f228,f229,f230,f319,f320,f210,f205,f212,f213,f227,f231,f232,f237,f238,f209,f216,f233,f234,f235,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f280,f289,f330,f331,f334,f256,f257,f258,f259,f260,f338,f339,f340,f335,f336,f284,f337,f293,f302,f303,f304,f305,f306,f203,f348,f236,f344,f345,f347,f346,f351,f352,f261,f281,f285,f290,f366,f294,f371,f368,f369,f298,f372,f374,f373,f375,f377,f376,f266,f378,f381,f380,f268,f270,f272,f274,f276,f277,f399,f393,f405,f410,f279,f400,f401,f404,f288,f308,f420,f313,f316,f424,f398,f183,f431,f436,f434,f438,f435,f407,f447,f448,f450,f451,f453,f454,f442,f443,f418,f456,f459,f460,f461,f462,f463,f466,f467,f468,f469,f444,f474,f475,f476,f477,f286,f445,f484,f485,f486,f487,f382,f488,f490,f491,f492,f493,f494,f495,f496,f497,f417,f499,f500,f295,f299,f511,f516,f517,f518,f522,f523,f525,f526,f527,f528,f529,f531,f535,f537,f538,f539,f540,f543,f544,f553,f532,f541,f533,f309,f557,f558,f560,f561,f562,f563,f565,f566,f567,f568,f569,f570,f583,f584]) ).
fof(f584,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1))
| ~ elem(m_Ldr(X1),sK2) ),
inference(forward_demodulation,[],[f572,f531]) ).
fof(f572,plain,
! [X0,X1] :
( leq(X0,host(sK3))
| ~ leq(X0,host(X1))
| ~ elem(m_Ldr(X1),sK2) ),
inference(resolution,[],[f309,f435]) ).
fof(f583,plain,
! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,nbr_proc) ),
inference(forward_demodulation,[],[f571,f531]) ).
fof(f571,plain,
! [X0] :
( leq(X0,host(sK3))
| ~ leq(X0,host(sK4)) ),
inference(resolution,[],[f309,f335]) ).
fof(f570,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ),
inference(resolution,[],[f309,f232]) ).
fof(f569,plain,
! [X2,X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X2)
| leq(X1,X2) ),
inference(resolution,[],[f309,f444]) ).
fof(f568,plain,
! [X2,X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ),
inference(resolution,[],[f309,f445]) ).
fof(f567,plain,
! [X0,X1] :
( leq(X0,s(s(s(s(s(X1))))))
| ~ leq(X0,X1) ),
inference(resolution,[],[f309,f417]) ).
fof(f566,plain,
! [X0,X1] :
( leq(X0,s(s(s(s(X1)))))
| ~ leq(X0,X1) ),
inference(resolution,[],[f309,f380]) ).
fof(f565,plain,
! [X0,X1] :
( leq(X0,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(resolution,[],[f309,f376]) ).
fof(f563,plain,
! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) ),
inference(resolution,[],[f309,f298]) ).
fof(f562,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| leq(X1,X2) ),
inference(resolution,[],[f309,f404]) ).
fof(f561,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| leq(X1,s(X2)) ),
inference(resolution,[],[f309,f418]) ).
fof(f560,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| leq(X1,s(X2)) ),
inference(resolution,[],[f309,f418]) ).
fof(f558,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ),
inference(resolution,[],[f309,f260]) ).
fof(f557,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) ),
inference(resolution,[],[f309,f260]) ).
fof(f533,plain,
elec_1 = index(status,nbr_proc),
inference(superposition,[],[f209,f531]) ).
fof(f532,plain,
~ leq(nbr_proc,host(sK4)),
inference(superposition,[],[f205,f531]) ).
fof(f553,plain,
! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ),
inference(forward_demodulation,[],[f546,f531]) ).
fof(f546,plain,
! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(host(sK3),host(X0)) ),
inference(superposition,[],[f183,f531]) ).
fof(f544,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(superposition,[],[f431,f531]) ).
fof(f543,plain,
! [X0] :
( elem(X0,queue(nbr_proc))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f424,f531]) ).
fof(f539,plain,
m_Down(sK4) = head(queue(nbr_proc)),
inference(superposition,[],[f346,f531]) ).
fof(f538,plain,
sK2 = tail(queue(nbr_proc)),
inference(superposition,[],[f345,f531]) ).
fof(f537,plain,
leq(nbr_proc,index(pendack,host(sK7))),
inference(superposition,[],[f337,f531]) ).
fof(f529,plain,
! [X0] :
( zero = s(host(X0))
| ~ leq(s(host(X0)),zero) ),
inference(resolution,[],[f299,f443]) ).
fof(f528,plain,
( zero = s(nbr_proc)
| ~ leq(s(nbr_proc),zero) ),
inference(resolution,[],[f299,f442]) ).
fof(f527,plain,
! [X0] :
( host(X0) = zero
| ~ leq(host(X0),zero) ),
inference(resolution,[],[f299,f401]) ).
fof(f526,plain,
( zero = nbr_proc
| ~ leq(nbr_proc,zero) ),
inference(resolution,[],[f299,f400]) ).
fof(f525,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) ),
inference(resolution,[],[f299,f276]) ).
fof(f523,plain,
! [X0] :
( ~ leq(host(X0),s(zero))
| host(X0) = s(zero) ),
inference(resolution,[],[f299,f235]) ).
fof(f522,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero)) ),
inference(resolution,[],[f299,f227]) ).
fof(f518,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f299,f232]) ).
fof(f517,plain,
! [X0,X1] :
( s(s(X0)) = X1
| ~ leq(s(s(X0)),X1)
| leq(X0,X1) ),
inference(resolution,[],[f299,f444]) ).
fof(f516,plain,
! [X0,X1] :
( s(s(X0)) = X1
| ~ leq(s(s(X0)),X1)
| ~ leq(X1,X0) ),
inference(resolution,[],[f299,f445]) ).
fof(f511,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) ),
inference(resolution,[],[f299,f298]) ).
fof(f295,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f144,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(f500,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f417,f393]) ).
fof(f499,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f417,f407]) ).
fof(f417,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f404,f378]) ).
fof(f497,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f382,f444]) ).
fof(f496,plain,
! [X0] : ~ leq(s(s(s(s(s(s(s(X0))))))),X0),
inference(resolution,[],[f382,f445]) ).
fof(f495,plain,
! [X0] : ~ leq(s(s(s(s(s(s(X0)))))),X0),
inference(resolution,[],[f382,f298]) ).
fof(f494,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f382,f404]) ).
fof(f493,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f382,f418]) ).
fof(f492,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f382,f418]) ).
fof(f491,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f382,f260]) ).
fof(f490,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f382,f260]) ).
fof(f488,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f382,f398]) ).
fof(f382,plain,
! [X0] : ~ leq(s(s(s(s(s(X0))))),X0),
inference(resolution,[],[f378,f298]) ).
fof(f487,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(s(X1))) ),
inference(resolution,[],[f445,f393]) ).
fof(f486,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(s(s(X1)))) ),
inference(resolution,[],[f445,f407]) ).
fof(f485,plain,
! [X0] : ~ leq(s(s(s(s(s(s(X0)))))),X0),
inference(resolution,[],[f445,f378]) ).
fof(f484,plain,
! [X0] : ~ leq(s(s(s(s(s(X0))))),X0),
inference(resolution,[],[f445,f375]) ).
fof(f445,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X1) ),
inference(resolution,[],[f407,f276]) ).
fof(f286,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f167]) ).
fof(f167,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) ).
fof(f477,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(s(X0))) ),
inference(resolution,[],[f444,f393]) ).
fof(f476,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(s(s(X0)))) ),
inference(resolution,[],[f444,f407]) ).
fof(f475,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f444,f378]) ).
fof(f474,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f444,f375]) ).
fof(f444,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f407,f398]) ).
fof(f469,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(X0)) ),
inference(resolution,[],[f418,f393]) ).
fof(f468,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(s(X0))) ),
inference(resolution,[],[f418,f407]) ).
fof(f467,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f418,f378]) ).
fof(f466,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f418,f375]) ).
fof(f463,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f418,f277]) ).
fof(f462,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(X0)) ),
inference(resolution,[],[f418,f393]) ).
fof(f461,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(s(X0))) ),
inference(resolution,[],[f418,f407]) ).
fof(f460,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f418,f378]) ).
fof(f459,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f418,f375]) ).
fof(f456,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f418,f277]) ).
fof(f418,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f404,f393]) ).
fof(f443,plain,
! [X0] : leq(zero,s(host(X0))),
inference(resolution,[],[f407,f235]) ).
fof(f442,plain,
leq(zero,s(nbr_proc)),
inference(resolution,[],[f407,f227]) ).
fof(f454,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f407,f380]) ).
fof(f453,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f407,f376]) ).
fof(f451,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(resolution,[],[f407,f298]) ).
fof(f450,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(X0)) ),
inference(resolution,[],[f407,f404]) ).
fof(f448,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f407,f260]) ).
fof(f447,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f407,f260]) ).
fof(f407,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(X1)) ),
inference(resolution,[],[f393,f298]) ).
fof(f435,plain,
! [X0] :
( leq(host(X0),host(sK3))
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f431,f260]) ).
fof(f438,plain,
~ elem(m_Ldr(sK6),sK2),
inference(subsumption_resolution,[],[f437,f230]) ).
fof(f437,plain,
( ~ leq(host(sK3),host(sK3))
| ~ elem(m_Ldr(sK6),sK2) ),
inference(superposition,[],[f431,f212]) ).
fof(f434,plain,
~ elem(m_Ldr(sK3),sK2),
inference(resolution,[],[f431,f230]) ).
fof(f436,plain,
! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| leq(host(X0),host(sK3)) ),
inference(resolution,[],[f431,f260]) ).
fof(f431,plain,
! [X0] :
( ~ leq(host(sK3),host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f183,f424]) ).
fof(f183,plain,
! [X44,X45] :
( ~ elem(m_Ldr(X45),queue(host(X44)))
| ~ leq(host(X44),host(X45)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f398,plain,
! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) ),
inference(resolution,[],[f277,f260]) ).
fof(f424,plain,
! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f316,f203]) ).
fof(f316,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f313,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f420,plain,
! [X2,X0,X1] :
( sP1(m_Ack(X1,X2),X0)
| ~ ordered(X0) ),
inference(resolution,[],[f308,f294]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f288,plain,
! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f170,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f404,plain,
! [X0,X1] :
( leq(X1,s(X0))
| leq(X0,X1) ),
inference(resolution,[],[f393,f260]) ).
fof(f401,plain,
! [X0] : leq(zero,host(X0)),
inference(resolution,[],[f393,f235]) ).
fof(f400,plain,
leq(zero,nbr_proc),
inference(resolution,[],[f393,f227]) ).
fof(f279,plain,
! [X0,X1] :
( elem(sK10(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f164,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f164,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) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f163]) ).
fof(f163,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) ) )
& ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f410,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f393,f380]) ).
fof(f405,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ),
inference(resolution,[],[f393,f260]) ).
fof(f393,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) ),
inference(resolution,[],[f277,f298]) ).
fof(f399,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ),
inference(resolution,[],[f277,f260]) ).
fof(f277,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,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(f276,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f274,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f272,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f270,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f268,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f380,plain,
! [X0] : leq(X0,s(s(s(s(X0))))),
inference(resolution,[],[f378,f260]) ).
fof(f381,plain,
! [X0] : leq(X0,s(s(s(s(X0))))),
inference(resolution,[],[f378,f260]) ).
fof(f378,plain,
! [X0] : ~ leq(s(s(s(s(X0)))),X0),
inference(resolution,[],[f375,f298]) ).
fof(f266,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f376,plain,
! [X0] : leq(X0,s(s(s(X0)))),
inference(resolution,[],[f375,f260]) ).
fof(f377,plain,
! [X0] : leq(X0,s(s(s(X0)))),
inference(resolution,[],[f375,f260]) ).
fof(f375,plain,
! [X0] : ~ leq(s(s(s(X0))),X0),
inference(resolution,[],[f372,f298]) ).
fof(f373,plain,
! [X0] : leq(X0,s(s(X0))),
inference(resolution,[],[f372,f260]) ).
fof(f374,plain,
! [X0] : leq(X0,s(s(X0))),
inference(resolution,[],[f372,f260]) ).
fof(f372,plain,
! [X0] : ~ leq(s(s(X0)),X0),
inference(resolution,[],[f298,f231]) ).
fof(f298,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f175]) ).
fof(f175,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(f369,plain,
! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ),
inference(resolution,[],[f294,f261]) ).
fof(f368,plain,
! [X0] : sP1(X0,q_nil),
inference(resolution,[],[f294,f238]) ).
fof(f371,plain,
! [X0] : sP1(X0,q_nil),
inference(subsumption_resolution,[],[f370,f237]) ).
fof(f370,plain,
! [X0] :
( ~ ordered(cons(X0,q_nil))
| sP1(X0,q_nil) ),
inference(superposition,[],[f294,f236]) ).
fof(f294,plain,
! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f366,plain,
! [X0] : sP0(X0,q_nil),
inference(resolution,[],[f285,f237]) ).
fof(f290,plain,
! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f285,plain,
! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f281,plain,
! [X0,X1] :
( pidElem(sK10(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f261,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f352,plain,
! [X0] : last(cons(X0,q_nil)) = X0,
inference(superposition,[],[f258,f236]) ).
fof(f351,plain,
! [X0] : q_nil = init(cons(X0,q_nil)),
inference(superposition,[],[f259,f236]) ).
fof(f346,plain,
m_Down(sK4) = head(queue(host(sK3))),
inference(superposition,[],[f256,f203]) ).
fof(f345,plain,
sK2 = tail(queue(host(sK3))),
inference(superposition,[],[f257,f203]) ).
fof(f344,plain,
( ~ ordered(queue(host(sK3)))
| ordered(sK2) ),
inference(superposition,[],[f284,f203]) ).
fof(f236,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f306,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f305,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f304,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f303,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f302,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f293,plain,
! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f337,plain,
leq(host(sK3),index(pendack,host(sK7))),
inference(resolution,[],[f260,f334]) ).
fof(f284,plain,
! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f336,plain,
! [X0] : leq(X0,s(X0)),
inference(resolution,[],[f260,f231]) ).
fof(f335,plain,
leq(host(sK4),host(sK3)),
inference(resolution,[],[f260,f205]) ).
fof(f340,plain,
leq(host(sK3),index(pendack,host(sK7))),
inference(resolution,[],[f260,f334]) ).
fof(f339,plain,
! [X0] : leq(X0,s(X0)),
inference(resolution,[],[f260,f231]) ).
fof(f338,plain,
leq(host(sK4),host(sK3)),
inference(resolution,[],[f260,f205]) ).
fof(f259,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(f258,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f257,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f256,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f289,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f280,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f254,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f253,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f252,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f251,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f250,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f249,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f248,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f247,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f246,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f245,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f244,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f235,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(f234,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f233,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f209,plain,
elec_1 = index(status,host(sK3)),
inference(cnf_transformation,[],[f152]) ).
fof(f238,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f237,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(cnf_transformation,[],[f79]) ).
fof(f227,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
fof(f213,plain,
host(sK3) != host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f320,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f154,f155]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK9(X0)) = X0
| m_Halt(sK9(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
| ~ pidElem(X0) ) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f319,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f230,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(f229,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f228,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f226,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f225,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f224,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f223,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
fof(f222,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f221,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f220,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f204,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f219,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ ordered(cons(m_Halt(X1),X0))
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| leq(X1,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f307,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f329,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f328,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f296,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f327,plain,
! [X1] : leq(s(X1),s(X1)),
inference(equality_resolution,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( leq(X0,s(X1))
| s(X1) != X0 ),
inference(cnf_transformation,[],[f176]) ).
fof(f287,plain,
! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X3),pidMsg(X0))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f291,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f292,plain,
! [X0,X1] :
( ~ leq(pidMsg(sK11(X0,X1)),pidMsg(X0))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f278,plain,
! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X0),pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f282,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f283,plain,
! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f264,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(f265,plain,
! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) ),
inference(cnf_transformation,[],[f130]) ).
fof(f263,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(f241,plain,
! [X0] :
( ~ pidElem(X0)
| m_Halt(sK9(X0)) = X0
| m_Down(sK9(X0)) = X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f240,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f184,plain,
! [X42,X43] :
( host(X42) != host(X43)
| ~ setIn(X42,alive)
| ~ setIn(X43,alive)
| X42 = X43 ),
inference(cnf_transformation,[],[f152]) ).
fof(f185,plain,
! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f186,plain,
! [X39] :
( elec_1 != index(status,host(X39))
| ~ setIn(X39,alive)
| index(elid,host(X39)) = X39 ),
inference(cnf_transformation,[],[f152]) ).
fof(f187,plain,
! [X39] :
( elec_2 != index(status,host(X39))
| ~ setIn(X39,alive)
| index(elid,host(X39)) = X39 ),
inference(cnf_transformation,[],[f152]) ).
fof(f188,plain,
! [X38,X37] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f189,plain,
! [X36,X35] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f190,plain,
! [X34,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f191,plain,
! [X31,X30] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f192,plain,
! [X28,X29,X27] :
( ~ elem(m_Ack(X29,X28),queue(host(X29)))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| norm != index(status,host(X27))
| ~ setIn(X29,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f193,plain,
! [X26,X24,X25] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f195,plain,
! [X18,X19,X20] :
( host(X20) != index(ldr,host(X20))
| ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f196,plain,
! [X16,X17] :
( leq(index(pendack,host(X17)),host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| norm != index(status,host(X16)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f197,plain,
! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f198,plain,
! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f199,plain,
! [X8,X9,X7] :
( host(X7) != index(ldr,host(X7))
| norm != index(status,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ~ leq(host(X9),sK8(X8,X9)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f200,plain,
! [X8,X9,X7] :
( host(X7) != index(ldr,host(X7))
| norm != index(status,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| leq(s(zero),sK8(X8,X9)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f201,plain,
! [X8,X9,X7] :
( ~ setIn(sK8(X8,X9),index(down,host(X9)))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| norm != index(status,host(X7)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f202,plain,
! [X8,X9,X7] :
( host(X7) != index(ldr,host(X7))
| norm != index(status,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| host(X8) != sK8(X8,X9) ),
inference(cnf_transformation,[],[f152]) ).
fof(f206,plain,
( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f207,plain,
( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f208,plain,
! [X6] :
( host(sK4) = X6
| setIn(X6,index(down,host(sK3)))
| ~ leq(s(zero),X6)
| leq(host(sK3),X6) ),
inference(cnf_transformation,[],[f152]) ).
fof(f211,plain,
~ setIn(host(sK5),setEmpty),
inference(cnf_transformation,[],[f152]) ).
fof(f218,plain,
host(sK3) = host(sK6),
inference(cnf_transformation,[],[f152]) ).
fof(f5292,plain,
( ~ spl12_21
| spl12_22
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f5212,f5197,f5289,f5285]) ).
fof(f5285,plain,
( spl12_21
<=> leq(s(nbr_proc),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f5289,plain,
( spl12_22
<=> s(zero) = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f5197,plain,
( spl12_19
<=> leq(s(zero),s(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f5212,plain,
( s(zero) = s(nbr_proc)
| ~ leq(s(nbr_proc),s(zero))
| ~ spl12_19 ),
inference(resolution,[],[f5199,f299]) ).
fof(f5199,plain,
( leq(s(zero),s(nbr_proc))
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f5197]) ).
fof(f5203,plain,
( spl12_19
| spl12_20 ),
inference(avatar_split_clause,[],[f4968,f5201,f5197]) ).
fof(f5201,plain,
( spl12_20
<=> ! [X0] : leq(host(sK4),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f4968,plain,
! [X0] :
( leq(host(sK4),host(X0))
| leq(s(zero),s(nbr_proc)) ),
inference(resolution,[],[f575,f1286]) ).
fof(f1286,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(host(sK4),X0) ),
inference(resolution,[],[f947,f231]) ).
fof(f947,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,nbr_proc)
| leq(host(sK4),X0) ),
inference(resolution,[],[f597,f260]) ).
fof(f597,plain,
! [X0,X1] :
( ~ leq(X1,host(sK4))
| leq(X1,X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f593,f309]) ).
fof(f593,plain,
! [X0] :
( leq(host(sK4),X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f583,f260]) ).
fof(f575,plain,
! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) ),
inference(resolution,[],[f309,f235]) ).
fof(f4859,plain,
( ~ spl12_17
| spl12_18 ),
inference(avatar_split_clause,[],[f522,f4856,f4852]) ).
fof(f4852,plain,
( spl12_17
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f4856,plain,
( spl12_18
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f3587,plain,
~ spl12_12,
inference(avatar_contradiction_clause,[],[f3586]) ).
fof(f3586,plain,
( $false
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f3585,f223]) ).
fof(f3585,plain,
( elec_1 = elec_2
| ~ spl12_12 ),
inference(forward_demodulation,[],[f3482,f533]) ).
fof(f3482,plain,
( elec_2 = index(status,nbr_proc)
| ~ spl12_12 ),
inference(superposition,[],[f216,f3480]) ).
fof(f3480,plain,
( nbr_proc = host(sK7)
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f3479,f232]) ).
fof(f3479,plain,
( nbr_proc = host(sK7)
| ~ leq(host(sK7),nbr_proc)
| ~ spl12_12 ),
inference(resolution,[],[f2981,f299]) ).
fof(f2981,plain,
( leq(nbr_proc,host(sK7))
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f2979]) ).
fof(f2979,plain,
( spl12_12
<=> leq(nbr_proc,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f3584,plain,
~ spl12_12,
inference(avatar_contradiction_clause,[],[f3583]) ).
fof(f3583,plain,
( $false
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f3481,f531]) ).
fof(f3481,plain,
( nbr_proc != host(sK3)
| ~ spl12_12 ),
inference(superposition,[],[f213,f3480]) ).
fof(f3471,plain,
( spl12_15
| spl12_16
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f3050,f2975,f3469,f3465]) ).
fof(f3465,plain,
( spl12_15
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f3469,plain,
( spl12_16
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f3050,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK4)))
| setIn(sK7,pids) )
| ~ spl12_11 ),
inference(superposition,[],[f264,f2977]) ).
fof(f3346,plain,
( ~ spl12_13
| spl12_14
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f3337,f2975,f3343,f3339]) ).
fof(f3339,plain,
( spl12_13
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f3343,plain,
( spl12_14
<=> sK4 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f3337,plain,
( sK4 = sK7
| ~ setIn(sK4,alive)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f3106,f3033]) ).
fof(f3033,plain,
( sK7 = index(elid,host(sK4))
| ~ spl12_11 ),
inference(superposition,[],[f2028,f2977]) ).
fof(f2028,plain,
sK7 = index(elid,host(sK7)),
inference(subsumption_resolution,[],[f2023,f215]) ).
fof(f2023,plain,
( ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7)) ),
inference(trivial_inequality_removal,[],[f2022]) ).
fof(f2022,plain,
( elec_2 != elec_2
| ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7)) ),
inference(superposition,[],[f187,f216]) ).
fof(f3106,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl12_11 ),
inference(trivial_inequality_removal,[],[f3104]) ).
fof(f3104,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl12_11 ),
inference(superposition,[],[f187,f2994]) ).
fof(f2994,plain,
( elec_2 = index(status,host(sK4))
| ~ spl12_11 ),
inference(superposition,[],[f216,f2977]) ).
fof(f2982,plain,
( spl12_11
| spl12_12 ),
inference(avatar_split_clause,[],[f2973,f2979,f2975]) ).
fof(f2973,plain,
( leq(nbr_proc,host(sK7))
| host(sK4) = host(sK7) ),
inference(subsumption_resolution,[],[f2972,f235]) ).
fof(f2972,plain,
( leq(nbr_proc,host(sK7))
| host(sK4) = host(sK7)
| ~ leq(s(zero),host(sK7)) ),
inference(resolution,[],[f2959,f2582]) ).
fof(f2582,plain,
! [X6] :
( setIn(X6,index(down,nbr_proc))
| leq(nbr_proc,X6)
| host(sK4) = X6
| ~ leq(s(zero),X6) ),
inference(forward_demodulation,[],[f2581,f531]) ).
fof(f2581,plain,
! [X6] :
( setIn(X6,index(down,nbr_proc))
| host(sK4) = X6
| ~ leq(s(zero),X6)
| leq(host(sK3),X6) ),
inference(forward_demodulation,[],[f208,f531]) ).
fof(f2959,plain,
~ setIn(host(sK7),index(down,nbr_proc)),
inference(forward_demodulation,[],[f2958,f531]) ).
fof(f2958,plain,
~ setIn(host(sK7),index(down,host(sK3))),
inference(subsumption_resolution,[],[f2957,f204]) ).
fof(f2957,plain,
( ~ setIn(host(sK7),index(down,host(sK3)))
| ~ setIn(sK3,alive) ),
inference(subsumption_resolution,[],[f2956,f215]) ).
fof(f2956,plain,
( ~ setIn(host(sK7),index(down,host(sK3)))
| ~ setIn(sK7,alive)
| ~ setIn(sK3,alive) ),
inference(subsumption_resolution,[],[f2942,f216]) ).
fof(f2942,plain,
( elec_2 != index(status,host(sK7))
| ~ setIn(host(sK7),index(down,host(sK3)))
| ~ setIn(sK7,alive)
| ~ setIn(sK3,alive) ),
inference(resolution,[],[f188,f334]) ).
fof(f1215,plain,
( ~ spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f1205,f1213,f1209]) ).
fof(f1209,plain,
( spl12_9
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f1213,plain,
( spl12_10
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f1205,plain,
! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) ),
inference(inner_rewriting,[],[f1204]) ).
fof(f1204,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != s(nbr_proc) ),
inference(forward_demodulation,[],[f1203,f531]) ).
fof(f1203,plain,
! [X0] :
( host(X0) != host(sK3)
| host(X0) != s(nbr_proc) ),
inference(forward_demodulation,[],[f1202,f212]) ).
fof(f1202,plain,
! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != host(sK6) ),
inference(forward_demodulation,[],[f1200,f531]) ).
fof(f1200,plain,
! [X0] :
( host(X0) != s(host(sK3))
| host(X0) != host(sK6) ),
inference(superposition,[],[f263,f212]) ).
fof(f1195,plain,
( spl12_6
| ~ spl12_7 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1194,plain,
( $false
| spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f1191,f746]) ).
fof(f746,plain,
( ~ setIn(sK3,pids)
| spl12_6 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f745,plain,
( spl12_6
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f1191,plain,
( setIn(sK3,pids)
| ~ spl12_7 ),
inference(superposition,[],[f752,f1188]) ).
fof(f1188,plain,
sK3 = sK6,
inference(subsumption_resolution,[],[f1187,f204]) ).
fof(f1187,plain,
( ~ setIn(sK3,alive)
| sK3 = sK6 ),
inference(trivial_inequality_removal,[],[f1186]) ).
fof(f1186,plain,
( nbr_proc != nbr_proc
| ~ setIn(sK3,alive)
| sK3 = sK6 ),
inference(superposition,[],[f1069,f531]) ).
fof(f1069,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| sK6 = X0 ),
inference(forward_demodulation,[],[f1068,f531]) ).
fof(f1068,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive)
| sK6 = X0 ),
inference(subsumption_resolution,[],[f1062,f217]) ).
fof(f1062,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| sK6 = X0 ),
inference(superposition,[],[f184,f212]) ).
fof(f752,plain,
( setIn(sK6,pids)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f750,plain,
( spl12_7
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f756,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f740,f754,f750]) ).
fof(f754,plain,
( spl12_8
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f740,plain,
! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| setIn(sK6,pids) ),
inference(forward_demodulation,[],[f738,f531]) ).
fof(f738,plain,
! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK3)))
| setIn(sK6,pids) ),
inference(superposition,[],[f264,f212]) ).
fof(f748,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f737,f745,f742]) ).
fof(f742,plain,
( spl12_5
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f737,plain,
! [X0] :
( setIn(sK3,pids)
| ~ elem(m_Ack(sK3,X0),sK2) ),
inference(resolution,[],[f264,f424]) ).
fof(f629,plain,
( ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f526,f626,f622]) ).
fof(f622,plain,
( spl12_3
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f626,plain,
( spl12_4
<=> zero = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f363,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f344,f360,f356]) ).
fof(f356,plain,
( spl12_1
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f360,plain,
( spl12_2
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:43:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (16018)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (16021)WARNING: value z3 for option sas not known
% 0.14/0.38 % (16019)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (16020)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (16022)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (16021)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)
% 0.14/0.38 % (16023)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)
% 0.14/0.38 % (16024)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)
% 0.14/0.38 % (16025)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)
% 0.14/0.40 Detected minimum model sizes of [4]
% 0.14/0.40 Detected maximum model sizes of [max]
% 0.14/0.40 TRYING [4]
% 0.22/0.44 Detected minimum model sizes of [4]
% 0.22/0.44 Detected maximum model sizes of [max]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 TRYING [5]
% 0.22/0.53 TRYING [6]
% 2.10/0.66 TRYING [7]
% 2.10/0.67 TRYING [5]
% 3.49/0.85 Detected minimum model sizes of [4]
% 3.49/0.85 Detected maximum model sizes of [max]
% 3.49/0.85 TRYING [4]
% 3.49/0.87 TRYING [8]
% 3.70/0.91 TRYING [5]
% 4.69/1.03 TRYING [6]
% 6.21/1.25 TRYING [7]
% 6.21/1.25 % (16021)First to succeed.
% 6.21/1.27 % (16021)Refutation found. Thanks to Tanya!
% 6.21/1.27 % SZS status Theorem for theBenchmark
% 6.21/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 6.21/1.27 % (16021)------------------------------
% 6.21/1.27 % (16021)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.21/1.27 % (16021)Termination reason: Refutation
% 6.21/1.27
% 6.21/1.27 % (16021)Memory used [KB]: 16327
% 6.21/1.27 % (16021)Time elapsed: 0.883 s
% 6.21/1.27 % (16021)Instructions burned: 2159 (million)
% 6.21/1.27 % (16021)------------------------------
% 6.21/1.27 % (16021)------------------------------
% 6.21/1.27 % (16018)Success in time 0.898 s
%------------------------------------------------------------------------------