TSTP Solution File: SWV472+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV472+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 : n004.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 : Sun May 5 10:59:12 EDT 2024
% Result : Theorem 2.48s 0.75s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 110
% Syntax : Number of formulae : 1131 ( 371 unt; 0 def)
% Number of atoms : 3160 ( 935 equ)
% Maximal formula atoms : 140 ( 2 avg)
% Number of connectives : 3452 (1423 ~;1401 |; 470 &)
% ( 69 <=>; 89 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 36 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 24 con; 0-2 aty)
% Number of variables : 1719 (1656 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21138,plain,
$false,
inference(avatar_sat_refutation,[],[f375,f382,f387,f389,f751,f762,f784,f987,f1016,f1024,f1263,f1867,f1887,f1896,f2088,f2091,f2745,f3220,f3429,f3945,f4710,f4860,f4881,f4919,f4921,f4923,f4925,f4927,f4929,f5851,f8509,f21137]) ).
fof(f21137,plain,
( spl14_3
| ~ spl14_24
| ~ spl14_26
| ~ spl14_27
| ~ spl14_28 ),
inference(avatar_split_clause,[],[f21134,f4708,f3943,f3218,f2740,f377]) ).
fof(f377,plain,
( spl14_3
<=> ! [X32] : nbr_proc != host(X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f2740,plain,
( spl14_24
<=> ! [X11,X12] :
( nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X11,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f3218,plain,
( spl14_26
<=> ! [X11,X12] :
( nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| host(X11) != sK10(X11,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f3943,plain,
( spl14_27
<=> ! [X11,X12] :
( nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| leq(s(zero),sK10(X11,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f4708,plain,
( spl14_28
<=> ! [X11,X12] :
( nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| ~ setIn(sK10(X11,X12),index(down,nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f21134,plain,
( ! [X0] : host(X0) != nbr_proc
| ~ spl14_24
| ~ spl14_26
| ~ spl14_27
| ~ spl14_28 ),
inference(subsumption_resolution,[],[f21129,f336]) ).
fof(f336,plain,
elem(m_Down(sK8),queue(nbr_proc)),
inference(forward_demodulation,[],[f207,f209]) ).
fof(f209,plain,
nbr_proc = host(sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( elem(m_Down(sK7),snoc(sK2,m_Halt(sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),queue(host(sK9)))
& ! [X8] :
( host(sK8) = X8
| setIn(X8,index(down,host(sK9)))
| ~ leq(s(zero),X8)
| leq(host(sK9),X8) )
& host(sK4) != host(sK9)
& s(index(pendack,host(sK4))) != host(sK9)
& host(sK4) = host(sK6)
& s(index(pendack,host(sK4))) = host(sK6)
& ~ leq(nbr_proc,index(pendack,host(sK4)))
& index(pendack,host(sK4)) = host(sK5)
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ( host(X11) != sK10(X11,X12)
& ~ setIn(sK10(X11,X12),index(down,host(X12)))
& leq(s(zero),sK10(X11,X12))
& ~ leq(host(X12),sK10(X11,X12)) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f146,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( elem(m_Down(X5),snoc(X0,m_Halt(X2)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X2) != host(X7)
& host(X7) != s(index(pendack,host(X2))) )
& host(X2) = host(X4)
& host(X4) = s(index(pendack,host(X2))) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) )
=> ( ? [X4] :
( ? [X7,X6,X5] :
( elem(m_Down(X5),snoc(sK2,m_Halt(sK4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) != s(index(pendack,host(sK4))) )
& host(X4) = host(sK4)
& host(X4) = s(index(pendack,host(sK4))) )
& ~ leq(nbr_proc,index(pendack,host(sK4)))
& index(pendack,host(sK4)) = host(sK5)
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X7,X6,X5] :
( elem(m_Down(X5),snoc(sK2,m_Halt(sK4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) != s(index(pendack,host(sK4))) )
& host(X4) = host(sK4)
& host(X4) = s(index(pendack,host(sK4))) )
=> ( ? [X7,X6,X5] :
( elem(m_Down(X5),snoc(sK2,m_Halt(sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) != s(index(pendack,host(sK4))) )
& host(sK4) = host(sK6)
& s(index(pendack,host(sK4))) = host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X7,X6,X5] :
( elem(m_Down(X5),snoc(sK2,m_Halt(sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) != s(index(pendack,host(sK4))) )
=> ( elem(m_Down(sK7),snoc(sK2,m_Halt(sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),queue(host(sK9)))
& ! [X8] :
( host(sK8) = X8
| setIn(X8,index(down,host(sK9)))
| ~ leq(s(zero),X8)
| leq(host(sK9),X8) )
& host(sK4) != host(sK9)
& s(index(pendack,host(sK4))) != host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X11,X12] :
( ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) != sK10(X11,X12)
& ~ setIn(sK10(X11,X12),index(down,host(X12)))
& leq(s(zero),sK10(X11,X12))
& ~ leq(host(X12),sK10(X11,X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( elem(m_Down(X5),snoc(X0,m_Halt(X2)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X2) != host(X7)
& host(X7) != s(index(pendack,host(X2))) )
& host(X2) = host(X4)
& host(X4) = s(index(pendack,host(X2))) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X32] :
( ? [X33,X34,X35] :
( elem(m_Down(X33),snoc(X0,m_Halt(X2)))
& setIn(X32,alive)
& elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),queue(host(X35)))
& ! [X36] :
( host(X34) = X36
| setIn(X36,index(down,host(X35)))
| ~ leq(s(zero),X36)
| leq(host(X35),X36) )
& host(X2) != host(X35)
& s(index(pendack,host(X2))) != host(X35) )
& host(X2) = host(X32)
& host(X32) = s(index(pendack,host(X2))) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X4)))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != host(X7)
| nbr_proc != host(X7)
| ~ elem(m_Down(X6),queue(host(X7)))
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X17),queue(host(X18)))
| host(X18) != host(index(elid,host(X19)))
| wait != index(status,host(X19))
| host(X19) != host(X17)
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22] :
( ~ elem(m_Down(X20),queue(host(X21)))
| host(X21) != index(ldr,host(X22))
| norm != index(status,host(X22))
| host(X22) != host(X20)
| ~ setIn(X22,alive)
| host(X21) = host(X22) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) ) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ elem(m_NotNorm(X26),queue(host(X27)))
| nbr_proc != host(X27) )
& ! [X28,X29] :
( host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X28))) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X32] :
( ? [X33,X34,X35] :
( elem(m_Down(X33),snoc(X0,m_Halt(X2)))
& setIn(X32,alive)
& elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),queue(host(X35)))
& ! [X36] :
( host(X34) = X36
| setIn(X36,index(down,host(X35)))
| ~ leq(s(zero),X36)
| leq(host(X35),X36) )
& host(X2) != host(X35)
& s(index(pendack,host(X2))) != host(X35) )
& host(X2) = host(X32)
& host(X32) = s(index(pendack,host(X2))) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X4)))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != host(X7)
| nbr_proc != host(X7)
| ~ elem(m_Down(X6),queue(host(X7)))
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X17),queue(host(X18)))
| host(X18) != host(index(elid,host(X19)))
| wait != index(status,host(X19))
| host(X19) != host(X17)
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22] :
( ~ elem(m_Down(X20),queue(host(X21)))
| host(X21) != index(ldr,host(X22))
| norm != index(status,host(X22))
| host(X22) != host(X20)
| ~ setIn(X22,alive)
| host(X21) = host(X22) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) ) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ elem(m_NotNorm(X26),queue(host(X27)))
| nbr_proc != host(X27) )
& ! [X28,X29] :
( host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X28))) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = host(X7)
& nbr_proc = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( host(X12) = host(X11)
& host(X9) = host(X10)
& setIn(X11,alive)
& setIn(X9,alive)
& host(X11) != host(X9) )
=> ~ ( setIn(host(X10),index(down,host(X11)))
& elem(m_Down(X12),queue(host(X9))) ) )
& ! [X13,X14,X15,X16] :
( ( host(X15) = host(X16)
& host(X13) = host(X14)
& setIn(X15,alive)
& setIn(X13,alive)
& host(X13) != host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X15)))
& elem(m_Down(X16),queue(host(X13))) ) )
& ! [X17,X18,X19] :
( ( host(X18) = host(index(elid,host(X19)))
& wait = index(status,host(X19))
& host(X19) = host(X17)
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20,X21,X22] :
( ( host(X21) = index(ldr,host(X22))
& norm = index(status,host(X22))
& host(X22) = host(X20)
& setIn(X22,alive)
& host(X21) != host(X22) )
=> ~ elem(m_Down(X20),queue(host(X21))) )
& ! [X23] :
( ( setIn(X23,alive)
& ( elec_2 = index(status,host(X23))
| elec_1 = index(status,host(X23)) ) )
=> index(elid,host(X23)) = X23 )
& ! [X24,X25] :
( ( host(X24) = host(X25)
& X24 != X25 )
=> ( ~ setIn(X25,alive)
| ~ setIn(X24,alive) ) )
& ! [X26,X27] :
( nbr_proc = host(X27)
=> ~ elem(m_NotNorm(X26),queue(host(X27))) )
& ! [X28,X29] :
( elem(m_Down(X29),queue(host(X28)))
=> host(X28) != host(X29) )
& ! [X30,X31] :
( elem(m_Ldr(X31),queue(host(X30)))
=> ~ leq(host(X30),host(X31)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( ~ leq(nbr_proc,index(pendack,host(X2)))
=> ! [X32] :
( host(X32) = s(index(pendack,host(X2)))
=> ( host(X2) = host(X32)
=> ! [X33,X34,X35] :
( s(index(pendack,host(X2))) != host(X35)
=> ( host(X2) != host(X35)
=> ( ( elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),queue(host(X35)))
& ! [X36] :
( ( leq(s(zero),X36)
& ~ leq(host(X35),X36) )
=> ( host(X34) = X36
| setIn(X36,index(down,host(X35))) ) ) )
=> ~ ( elem(m_Down(X33),snoc(X0,m_Halt(X2)))
& setIn(X32,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6,X14,X13] :
( ( host(X14) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( nbr_proc = host(X13)
=> ~ elem(m_NotNorm(X6),queue(host(X13))) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( ~ leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( host(X6) = s(index(pendack,host(X4)))
=> ( host(X4) = host(X6)
=> ! [X17,X18,X19] :
( s(index(pendack,host(X4))) != host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& nbr_proc = host(X19)
& host(X19) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X19),X16) )
=> ( host(X18) = X16
| setIn(X16,index(down,host(X19))) ) ) )
=> ~ ( elem(m_Down(X17),snoc(X11,m_Halt(X4)))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6,X14,X13] :
( ( host(X14) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( nbr_proc = host(X13)
=> ~ elem(m_NotNorm(X6),queue(host(X13))) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( ~ leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( host(X6) = s(index(pendack,host(X4)))
=> ( host(X4) = host(X6)
=> ! [X17,X18,X19] :
( s(index(pendack,host(X4))) != host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& nbr_proc = host(X19)
& host(X19) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X19),X16) )
=> ( host(X18) = X16
| setIn(X16,index(down,host(X19))) ) ) )
=> ~ ( elem(m_Down(X17),snoc(X11,m_Halt(X4)))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f207,plain,
elem(m_Down(sK8),queue(host(sK9))),
inference(cnf_transformation,[],[f151]) ).
fof(f21129,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),queue(nbr_proc))
| host(X0) != nbr_proc )
| ~ spl14_24
| ~ spl14_26
| ~ spl14_27
| ~ spl14_28 ),
inference(trivial_inequality_removal,[],[f21128]) ).
fof(f21128,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK8),queue(nbr_proc))
| host(X0) != nbr_proc )
| ~ spl14_24
| ~ spl14_26
| ~ spl14_27
| ~ spl14_28 ),
inference(duplicate_literal_removal,[],[f21125]) ).
fof(f21125,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK8),queue(nbr_proc))
| host(X0) != nbr_proc
| host(X0) != nbr_proc )
| ~ spl14_24
| ~ spl14_26
| ~ spl14_27
| ~ spl14_28 ),
inference(superposition,[],[f3219,f21119]) ).
fof(f21119,plain,
( ! [X0] :
( host(sK8) = sK10(sK8,X0)
| host(X0) != nbr_proc )
| ~ spl14_24
| ~ spl14_27
| ~ spl14_28 ),
inference(resolution,[],[f4734,f336]) ).
fof(f4734,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| nbr_proc != host(X1)
| host(sK8) = sK10(X0,X1) )
| ~ spl14_24
| ~ spl14_27
| ~ spl14_28 ),
inference(subsumption_resolution,[],[f4733,f3944]) ).
fof(f3944,plain,
( ! [X11,X12] :
( leq(s(zero),sK10(X11,X12))
| ~ elem(m_Down(X11),queue(nbr_proc))
| nbr_proc != host(X12) )
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f3943]) ).
fof(f4733,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| nbr_proc != host(X1)
| host(sK8) = sK10(X0,X1)
| ~ leq(s(zero),sK10(X0,X1)) )
| ~ spl14_24
| ~ spl14_28 ),
inference(subsumption_resolution,[],[f4732,f2741]) ).
fof(f2741,plain,
( ! [X11,X12] :
( ~ leq(nbr_proc,sK10(X11,X12))
| ~ elem(m_Down(X11),queue(nbr_proc))
| nbr_proc != host(X12) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f4732,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| nbr_proc != host(X1)
| leq(nbr_proc,sK10(X0,X1))
| host(sK8) = sK10(X0,X1)
| ~ leq(s(zero),sK10(X0,X1)) )
| ~ spl14_28 ),
inference(resolution,[],[f4709,f2216]) ).
fof(f2216,plain,
! [X8] :
( setIn(X8,index(down,nbr_proc))
| leq(nbr_proc,X8)
| host(sK8) = X8
| ~ leq(s(zero),X8) ),
inference(forward_demodulation,[],[f2215,f209]) ).
fof(f2215,plain,
! [X8] :
( setIn(X8,index(down,nbr_proc))
| host(sK8) = X8
| ~ leq(s(zero),X8)
| leq(host(sK9),X8) ),
inference(forward_demodulation,[],[f206,f209]) ).
fof(f206,plain,
! [X8] :
( host(sK8) = X8
| setIn(X8,index(down,host(sK9)))
| ~ leq(s(zero),X8)
| leq(host(sK9),X8) ),
inference(cnf_transformation,[],[f151]) ).
fof(f4709,plain,
( ! [X11,X12] :
( ~ setIn(sK10(X11,X12),index(down,nbr_proc))
| ~ elem(m_Down(X11),queue(nbr_proc))
| nbr_proc != host(X12) )
| ~ spl14_28 ),
inference(avatar_component_clause,[],[f4708]) ).
fof(f3219,plain,
( ! [X11,X12] :
( host(X11) != sK10(X11,X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| nbr_proc != host(X12) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f3218]) ).
fof(f8509,plain,
( ~ spl14_34
| spl14_35 ),
inference(avatar_split_clause,[],[f7832,f8506,f8502]) ).
fof(f8502,plain,
( spl14_34
<=> leq(s(nbr_proc),host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f8506,plain,
( spl14_35
<=> s(nbr_proc) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f7832,plain,
( s(nbr_proc) = host(sK3)
| ~ leq(s(nbr_proc),host(sK3)) ),
inference(resolution,[],[f7556,f1103]) ).
fof(f1103,plain,
~ leq(s(nbr_proc),host(sK5)),
inference(resolution,[],[f1083,f404]) ).
fof(f404,plain,
! [X0] : ~ leq(s(s(X0)),X0),
inference(resolution,[],[f292,f225]) ).
fof(f225,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(f292,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f174]) ).
fof(f174,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(f1083,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f825,f447]) ).
fof(f447,plain,
! [X0] :
( leq(s(X0),host(sK4))
| ~ leq(X0,host(sK5)) ),
inference(superposition,[],[f270,f354]) ).
fof(f354,plain,
host(sK4) = s(host(sK5)),
inference(forward_demodulation,[],[f353,f200]) ).
fof(f200,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f151]) ).
fof(f353,plain,
host(sK4) = s(index(pendack,host(sK4))),
inference(forward_demodulation,[],[f202,f203]) ).
fof(f203,plain,
host(sK4) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f202,plain,
s(index(pendack,host(sK4))) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f270,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,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(f825,plain,
! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f303,f226]) ).
fof(f226,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(f303,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(f7556,plain,
! [X0] :
( leq(X0,host(sK5))
| host(sK3) = X0
| ~ leq(X0,host(sK3)) ),
inference(forward_demodulation,[],[f7555,f2020]) ).
fof(f2020,plain,
sK3 = sK4,
inference(forward_demodulation,[],[f2019,f198]) ).
fof(f198,plain,
sK3 = index(elid,host(sK4)),
inference(cnf_transformation,[],[f151]) ).
fof(f2019,plain,
sK4 = index(elid,host(sK4)),
inference(subsumption_resolution,[],[f2014,f197]) ).
fof(f197,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f2014,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4)) ),
inference(trivial_inequality_removal,[],[f2013]) ).
fof(f2013,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4)) ),
inference(superposition,[],[f187,f199]) ).
fof(f199,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f151]) ).
fof(f187,plain,
! [X28] :
( elec_2 != index(status,host(X28))
| ~ setIn(X28,alive)
| index(elid,host(X28)) = X28 ),
inference(cnf_transformation,[],[f151]) ).
fof(f7555,plain,
! [X0] :
( host(sK3) = X0
| ~ leq(X0,host(sK4))
| leq(X0,host(sK5)) ),
inference(forward_demodulation,[],[f1366,f2020]) ).
fof(f1366,plain,
! [X0] :
( host(sK4) = X0
| ~ leq(X0,host(sK4))
| leq(X0,host(sK5)) ),
inference(forward_demodulation,[],[f1363,f354]) ).
fof(f1363,plain,
! [X0] :
( ~ leq(X0,host(sK4))
| s(host(sK5)) = X0
| leq(X0,host(sK5)) ),
inference(superposition,[],[f290,f354]) ).
fof(f290,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f5851,plain,
( ~ spl14_32
| spl14_33
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f4935,f4878,f5848,f5844]) ).
fof(f5844,plain,
( spl14_32
<=> leq(s(nbr_proc),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f5848,plain,
( spl14_33
<=> s(zero) = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f4878,plain,
( spl14_31
<=> leq(s(zero),s(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f4935,plain,
( s(zero) = s(nbr_proc)
| ~ leq(s(nbr_proc),s(zero))
| ~ spl14_31 ),
inference(resolution,[],[f4880,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,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(f4880,plain,
( leq(s(zero),s(nbr_proc))
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f4878]) ).
fof(f4929,plain,
spl14_31,
inference(avatar_contradiction_clause,[],[f4928]) ).
fof(f4928,plain,
( $false
| spl14_31 ),
inference(subsumption_resolution,[],[f4910,f221]) ).
fof(f221,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(f4910,plain,
( ~ leq(s(zero),nbr_proc)
| spl14_31 ),
inference(resolution,[],[f4879,f292]) ).
fof(f4879,plain,
( ~ leq(s(zero),s(nbr_proc))
| spl14_31 ),
inference(avatar_component_clause,[],[f4878]) ).
fof(f4927,plain,
( spl14_9
| spl14_31 ),
inference(avatar_contradiction_clause,[],[f4926]) ).
fof(f4926,plain,
( $false
| spl14_9
| spl14_31 ),
inference(subsumption_resolution,[],[f4909,f779]) ).
fof(f779,plain,
( ~ leq(nbr_proc,s(zero))
| spl14_9 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl14_9
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f4909,plain,
( leq(nbr_proc,s(zero))
| spl14_31 ),
inference(resolution,[],[f4879,f497]) ).
fof(f497,plain,
! [X0,X1] :
( leq(X1,s(X0))
| leq(X0,X1) ),
inference(resolution,[],[f456,f254]) ).
fof(f254,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(f456,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) ),
inference(resolution,[],[f271,f292]) ).
fof(f271,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f4925,plain,
spl14_31,
inference(avatar_contradiction_clause,[],[f4924]) ).
fof(f4924,plain,
( $false
| spl14_31 ),
inference(subsumption_resolution,[],[f4904,f229]) ).
fof(f229,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(f4904,plain,
( ~ leq(s(zero),host(sK5))
| spl14_31 ),
inference(resolution,[],[f4879,f1107]) ).
fof(f1107,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f1083,f501]) ).
fof(f501,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(X1)) ),
inference(resolution,[],[f456,f292]) ).
fof(f4923,plain,
spl14_31,
inference(avatar_contradiction_clause,[],[f4922]) ).
fof(f4922,plain,
( $false
| spl14_31 ),
inference(subsumption_resolution,[],[f4899,f491]) ).
fof(f491,plain,
leq(zero,nbr_proc),
inference(resolution,[],[f456,f221]) ).
fof(f4899,plain,
( ~ leq(zero,nbr_proc)
| spl14_31 ),
inference(resolution,[],[f4879,f270]) ).
fof(f4921,plain,
( spl14_5
| spl14_31 ),
inference(avatar_contradiction_clause,[],[f4920]) ).
fof(f4920,plain,
( $false
| spl14_5
| spl14_31 ),
inference(subsumption_resolution,[],[f4898,f746]) ).
fof(f746,plain,
( ~ leq(nbr_proc,zero)
| spl14_5 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl14_5
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f4898,plain,
( leq(nbr_proc,zero)
| spl14_31 ),
inference(resolution,[],[f4879,f461]) ).
fof(f461,plain,
! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) ),
inference(resolution,[],[f271,f254]) ).
fof(f4919,plain,
spl14_31,
inference(avatar_contradiction_clause,[],[f4918]) ).
fof(f4918,plain,
( $false
| spl14_31 ),
inference(subsumption_resolution,[],[f4897,f225]) ).
fof(f4897,plain,
( leq(s(nbr_proc),nbr_proc)
| spl14_31 ),
inference(resolution,[],[f4879,f1275]) ).
fof(f1275,plain,
! [X0] :
( leq(s(zero),X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f826,f254]) ).
fof(f826,plain,
! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f303,f221]) ).
fof(f4881,plain,
( spl14_31
| spl14_29 ),
inference(avatar_split_clause,[],[f4778,f4854,f4878]) ).
fof(f4854,plain,
( spl14_29
<=> ! [X0] : leq(host(sK5),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f4778,plain,
! [X0] :
( leq(host(sK5),host(X0))
| leq(s(zero),s(nbr_proc)) ),
inference(resolution,[],[f827,f1141]) ).
fof(f1141,plain,
! [X0] :
( leq(host(sK5),X0)
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f1082,f501]) ).
fof(f1082,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| leq(host(sK5),X0) ),
inference(resolution,[],[f825,f471]) ).
fof(f471,plain,
! [X0] :
( leq(s(X0),host(sK4))
| leq(host(sK5),X0) ),
inference(resolution,[],[f463,f254]) ).
fof(f463,plain,
! [X0] :
( ~ leq(host(sK4),s(X0))
| leq(host(sK5),X0) ),
inference(superposition,[],[f271,f354]) ).
fof(f827,plain,
! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) ),
inference(resolution,[],[f303,f229]) ).
fof(f4860,plain,
( spl14_29
| ~ spl14_30 ),
inference(avatar_split_clause,[],[f4796,f4857,f4854]) ).
fof(f4857,plain,
( spl14_30
<=> leq(host(sK3),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f4796,plain,
! [X0] :
( ~ leq(host(sK3),s(zero))
| leq(host(sK5),host(X0)) ),
inference(forward_demodulation,[],[f4776,f2020]) ).
fof(f4776,plain,
! [X0] :
( leq(host(sK5),host(X0))
| ~ leq(host(sK4),s(zero)) ),
inference(resolution,[],[f827,f467]) ).
fof(f467,plain,
! [X0] :
( leq(host(sK5),X0)
| ~ leq(host(sK4),X0) ),
inference(resolution,[],[f463,f292]) ).
fof(f4710,plain,
( spl14_28
| spl14_25 ),
inference(avatar_split_clause,[],[f4492,f2743,f4708]) ).
fof(f2743,plain,
( spl14_25
<=> ! [X9,X10] :
( ~ elem(m_Down(X10),queue(host(X9)))
| nbr_proc != host(X10)
| ~ setIn(X9,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f4492,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| ~ setIn(sK10(X11,X12),index(down,nbr_proc)) ),
inference(subsumption_resolution,[],[f327,f337]) ).
fof(f337,plain,
elec_1 = index(status,nbr_proc),
inference(forward_demodulation,[],[f210,f209]) ).
fof(f210,plain,
elec_1 = index(status,host(sK9)),
inference(cnf_transformation,[],[f151]) ).
fof(f327,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| ~ setIn(sK10(X11,X12),index(down,nbr_proc)) ),
inference(inner_rewriting,[],[f194]) ).
fof(f194,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(sK10(X11,X12),index(down,host(X12))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f3945,plain,
( spl14_27
| spl14_25 ),
inference(avatar_split_clause,[],[f3869,f2743,f3943]) ).
fof(f3869,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| leq(s(zero),sK10(X11,X12)) ),
inference(subsumption_resolution,[],[f328,f337]) ).
fof(f328,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| leq(s(zero),sK10(X11,X12)) ),
inference(inner_rewriting,[],[f193]) ).
fof(f193,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| leq(s(zero),sK10(X11,X12)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f3429,plain,
~ spl14_25,
inference(avatar_contradiction_clause,[],[f3428]) ).
fof(f3428,plain,
( $false
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f3426,f332]) ).
fof(f332,plain,
nbr_proc = host(sK7),
inference(forward_demodulation,[],[f208,f209]) ).
fof(f208,plain,
host(sK9) = host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f3426,plain,
( nbr_proc != host(sK7)
| ~ spl14_25 ),
inference(resolution,[],[f3421,f1829]) ).
fof(f1829,plain,
elem(m_Down(sK7),sK2),
inference(subsumption_resolution,[],[f1821,f244]) ).
fof(f244,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(f1821,plain,
( m_Halt(sK4) = m_Down(sK7)
| elem(m_Down(sK7),sK2) ),
inference(resolution,[],[f308,f212]) ).
fof(f212,plain,
elem(m_Down(sK7),snoc(sK2,m_Halt(sK4))),
inference(cnf_transformation,[],[f151]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,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,[],[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(nnf_transformation,[],[f122]) ).
fof(f122,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(f3421,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| host(X0) != nbr_proc )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f3415,f197]) ).
fof(f3415,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X0),sK2) )
| ~ spl14_25 ),
inference(resolution,[],[f2744,f525]) ).
fof(f525,plain,
! [X0] :
( elem(X0,queue(host(sK4)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f307,f196]) ).
fof(f196,plain,
queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f307,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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,[],[f178]) ).
fof(f178,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,[],[f121]) ).
fof(f121,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(f2744,plain,
( ! [X10,X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| nbr_proc != host(X10)
| ~ setIn(X9,alive) )
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f3220,plain,
( spl14_26
| spl14_25 ),
inference(avatar_split_clause,[],[f3077,f2743,f3218]) ).
fof(f3077,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| host(X11) != sK10(X11,X12) ),
inference(subsumption_resolution,[],[f326,f337]) ).
fof(f326,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| host(X11) != sK10(X11,X12) ),
inference(inner_rewriting,[],[f195]) ).
fof(f195,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| host(X11) != sK10(X11,X12) ),
inference(cnf_transformation,[],[f151]) ).
fof(f2745,plain,
( spl14_24
| spl14_25 ),
inference(avatar_split_clause,[],[f2703,f2743,f2740]) ).
fof(f2703,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X11,X12)) ),
inference(subsumption_resolution,[],[f329,f337]) ).
fof(f329,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X11,X12)) ),
inference(inner_rewriting,[],[f192]) ).
fof(f192,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X12),sK10(X11,X12)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f2091,plain,
( spl14_12
| ~ spl14_18 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2090,plain,
( $false
| spl14_12
| ~ spl14_18 ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f184,f235,f276,f272,f285,f281,f321,f322,f323,f304,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f827,f828,f829,f830,f831,f836,f837,f832,f838,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f976,f985,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1076,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1105,f1128,f1127,f1129,f1125,f1131,f1132,f1133,f1082,f1143,f1144,f1107,f1146,f1147,f1154,f1155,f1141,f1160,f1162,f1163,f1168,f1170,f1171,f1149,f1176,f1177,f312,f1152,f1182,f1183,f1140,f1184,f1165,f1186,f1174,f1189,f1190,f185,f1192,f1200,f1194,f1195,f1201,f1197,f1180,f1202,f1203,f1204,f1153,f1209,f1210,f1156,f1214,f1215,f1213,f1218,f1217,f1220,f1221,f1227,f1228,f1229,f1230,f1231,f1123,f1234,f1235,f1241,f1242,f1243,f1244,f1169,f1245,f1172,f1247,f257,f1254,f1257,f1258,f1255,f1207,f1264,f1265,f1212,f1266,f1267,f826,f1272,f1276,f1289,f290,f1308,f1317,f1318,f1336,f1337,f1338,f1342,f1343,f1344,f1345,f1346,f1347,f1366,f1365,f1372,f1382,f1390,f1391,f1388,f1394,f1395,f1364,f1406,f1407,f1414,f1415,f1369,f1419,f1373,f1426,f1427,f1434,f1435,f1436,f1437,f1444,f1445,f1448,f1449,f1485,f1486,f1374,f1529,f1536,f1418,f1552,f1557,f1566,f1567,f1568,f1569,f1570,f1586,f1608,f1609,f1611,f1612,f1616,f1617,f1618,f1619,f1622,f1627,f1614,f1635,f1636,f1643,f1644,f1645,f301,f1647,f1648,f1650,f1651,f1652,f1653,f1654,f1655,f1657,f1658,f1447,f1661,f1662,f1403,f1666,f1667,f1673,f1674,f1675,f1676,f1615,f1680,f1681,f1687,f1688,f1689,f1690,f894,f931,f1656,f1699,f1700,f1075,f1707,f1712,f305,f1726,f1722,f1723,f1724,f1725,f1275,f1741,f1746,f1290,f1758,f1759,f1698,f834,f1765,f1766,f1787,f1788,f1789,f1790,f1784,f1785,f1806,f1805,f1813,f308,f1830,f1824,f1825,f1827,f1828,f1829,f1755,f1833,f1834,f1841,f1842,f1786,f1847,f1846,f1854,f978,f1863,f1007,f186,f1874,f1878,f1868,f1253,f1902,f1900,f839,f1906,f1907,f1915,f1916,f1917,f1918,f1924,f1925,f1926,f1928,f1929,f1930,f2009,f1973,f1974,f187,f2018,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2020,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2073,f2074,f2075,f2078,f2080,f2081,f2082,f2084,f2086]) ).
fof(f2086,plain,
! [X0] :
( leq(X0,s(host(sK3)))
| ~ leq(X0,zero) ),
inference(superposition,[],[f1364,f2020]) ).
fof(f2084,plain,
( ~ setIn(sK3,pids)
| spl14_12 ),
inference(superposition,[],[f985,f2020]) ).
fof(f2082,plain,
leq(zero,s(s(s(s(s(host(sK3))))))),
inference(superposition,[],[f954,f2020]) ).
fof(f2081,plain,
leq(zero,s(s(s(s(host(sK3)))))),
inference(superposition,[],[f944,f2020]) ).
fof(f2080,plain,
! [X0] :
( leq(X0,host(sK3))
| leq(zero,s(X0)) ),
inference(superposition,[],[f941,f2020]) ).
fof(f2078,plain,
! [X0] :
( leq(X0,s(s(host(sK3))))
| ~ leq(X0,zero) ),
inference(superposition,[],[f869,f2020]) ).
fof(f2075,plain,
! [X0] :
( leq(X0,s(host(sK3)))
| ~ leq(s(X0),zero) ),
inference(superposition,[],[f848,f2020]) ).
fof(f2074,plain,
~ leq(s(s(s(s(s(host(sK3)))))),zero),
inference(superposition,[],[f847,f2020]) ).
fof(f2073,plain,
~ leq(s(s(s(s(host(sK3))))),zero),
inference(superposition,[],[f846,f2020]) ).
fof(f2068,plain,
~ leq(s(s(s(s(s(host(sK3)))))),host(sK5)),
inference(superposition,[],[f605,f2020]) ).
fof(f2067,plain,
~ leq(s(s(s(s(host(sK3))))),host(sK5)),
inference(superposition,[],[f604,f2020]) ).
fof(f2066,plain,
leq(host(sK5),s(s(s(s(s(host(sK3))))))),
inference(superposition,[],[f596,f2020]) ).
fof(f2065,plain,
! [X0] :
( leq(X0,s(host(sK3)))
| leq(host(sK5),s(X0)) ),
inference(superposition,[],[f579,f2020]) ).
fof(f2064,plain,
! [X0] :
( leq(X0,s(host(sK3)))
| ~ leq(X0,host(sK5)) ),
inference(superposition,[],[f575,f2020]) ).
fof(f2063,plain,
! [X0] :
( leq(X0,s(host(sK3)))
| leq(host(sK5),X0) ),
inference(superposition,[],[f574,f2020]) ).
fof(f2062,plain,
~ elem(m_Down(sK3),sK2),
inference(superposition,[],[f568,f2020]) ).
fof(f2061,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ elem(m_Down(X0),sK2) ),
inference(superposition,[],[f557,f2020]) ).
fof(f2060,plain,
! [X0] :
( leq(host(X0),host(sK3))
| ~ elem(m_Ldr(X0),sK2) ),
inference(superposition,[],[f536,f2020]) ).
fof(f2059,plain,
~ elem(m_Ldr(sK3),sK2),
inference(superposition,[],[f535,f2020]) ).
fof(f2058,plain,
! [X0] :
( ~ leq(host(sK3),host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(superposition,[],[f527,f2020]) ).
fof(f2057,plain,
! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f525,f2020]) ).
fof(f2055,plain,
! [X0] :
( leq(host(sK3),s(X0))
| leq(X0,host(sK5)) ),
inference(superposition,[],[f478,f2020]) ).
fof(f2054,plain,
! [X0] :
( leq(s(X0),host(sK3))
| leq(host(sK5),X0) ),
inference(superposition,[],[f471,f2020]) ).
fof(f2053,plain,
! [X0] :
( ~ leq(s(X0),host(sK3))
| leq(X0,host(sK5)) ),
inference(superposition,[],[f464,f2020]) ).
fof(f2052,plain,
! [X0] :
( ~ leq(host(sK3),s(X0))
| leq(host(sK5),X0) ),
inference(superposition,[],[f463,f2020]) ).
fof(f2051,plain,
! [X0] :
( leq(s(X0),host(sK3))
| ~ leq(X0,host(sK5)) ),
inference(superposition,[],[f447,f2020]) ).
fof(f2050,plain,
! [X0] :
( leq(host(sK3),s(X0))
| ~ leq(host(sK5),X0) ),
inference(superposition,[],[f446,f2020]) ).
fof(f2049,plain,
~ leq(s(s(s(host(sK3)))),host(sK5)),
inference(superposition,[],[f435,f2020]) ).
fof(f2048,plain,
leq(host(sK5),s(s(s(s(host(sK3)))))),
inference(superposition,[],[f433,f2020]) ).
fof(f2047,plain,
leq(host(sK5),s(s(s(host(sK3))))),
inference(superposition,[],[f427,f2020]) ).
fof(f2046,plain,
! [X0] :
( leq(X0,host(sK3))
| leq(host(sK5),X0) ),
inference(superposition,[],[f422,f2020]) ).
fof(f2045,plain,
leq(host(sK5),s(s(host(sK3)))),
inference(superposition,[],[f418,f2020]) ).
fof(f2044,plain,
~ leq(s(s(host(sK3))),host(sK5)),
inference(superposition,[],[f417,f2020]) ).
fof(f2043,plain,
leq(host(sK5),s(host(sK3))),
inference(superposition,[],[f410,f2020]) ).
fof(f2042,plain,
~ leq(s(host(sK3)),host(sK5)),
inference(superposition,[],[f409,f2020]) ).
fof(f2040,plain,
q_nil != queue(host(sK3)),
inference(superposition,[],[f366,f2020]) ).
fof(f2039,plain,
elem(m_Ack(sK3,sK5),queue(host(sK3))),
inference(superposition,[],[f365,f2020]) ).
fof(f2038,plain,
m_Ack(sK3,sK5) = head(queue(host(sK3))),
inference(superposition,[],[f364,f2020]) ).
fof(f2037,plain,
sK2 = tail(queue(host(sK3))),
inference(superposition,[],[f363,f2020]) ).
fof(f2036,plain,
~ leq(host(sK3),host(sK5)),
inference(superposition,[],[f356,f2020]) ).
fof(f2035,plain,
leq(host(sK5),host(sK3)),
inference(superposition,[],[f355,f2020]) ).
fof(f2034,plain,
nbr_proc != host(sK3),
inference(superposition,[],[f331,f2020]) ).
fof(f2033,plain,
elem(m_Down(sK7),snoc(sK2,m_Halt(sK3))),
inference(superposition,[],[f212,f2020]) ).
fof(f2032,plain,
~ leq(nbr_proc,index(pendack,host(sK3))),
inference(superposition,[],[f201,f2020]) ).
fof(f2031,plain,
host(sK5) = index(pendack,host(sK3)),
inference(superposition,[],[f200,f2020]) ).
fof(f2030,plain,
elec_2 = index(status,host(sK3)),
inference(superposition,[],[f199,f2020]) ).
fof(f2029,plain,
sK3 = index(elid,host(sK3)),
inference(superposition,[],[f198,f2020]) ).
fof(f2028,plain,
setIn(sK3,alive),
inference(superposition,[],[f197,f2020]) ).
fof(f2027,plain,
! [X0] :
( ~ elem(m_Ack(sK3,X0),sK2)
| setIn(X0,pids) ),
inference(superposition,[],[f1868,f2018]) ).
fof(f2026,plain,
( setIn(sK3,pids)
| ~ spl14_18 ),
inference(superposition,[],[f1863,f2018]) ).
fof(f2025,plain,
! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK4)))
| setIn(X0,pids) ),
inference(superposition,[],[f1007,f2018]) ).
fof(f2024,plain,
~ elem(m_Down(sK3),sK2),
inference(superposition,[],[f569,f2018]) ).
fof(f2023,plain,
~ elem(m_Ldr(sK3),sK2),
inference(superposition,[],[f542,f2018]) ).
fof(f2022,plain,
setIn(sK3,alive),
inference(superposition,[],[f211,f2018]) ).
fof(f2021,plain,
host(sK4) = host(sK3),
inference(superposition,[],[f203,f2018]) ).
fof(f2018,plain,
sK3 = sK6,
inference(forward_demodulation,[],[f2017,f198]) ).
fof(f2017,plain,
index(elid,host(sK4)) = sK6,
inference(forward_demodulation,[],[f2016,f203]) ).
fof(f2016,plain,
sK6 = index(elid,host(sK6)),
inference(subsumption_resolution,[],[f2015,f211]) ).
fof(f2015,plain,
( ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6)) ),
inference(subsumption_resolution,[],[f2011,f199]) ).
fof(f2011,plain,
( elec_2 != index(status,host(sK4))
| ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6)) ),
inference(superposition,[],[f187,f203]) ).
fof(f1974,plain,
! [X0,X1] :
( leq(s(X0),host(sK5))
| ~ leq(s(X1),zero)
| ~ leq(X0,X1) ),
inference(resolution,[],[f839,f270]) ).
fof(f1973,plain,
! [X0,X1] :
( leq(s(X0),host(sK5))
| ~ leq(s(X1),zero)
| leq(X1,X0) ),
inference(resolution,[],[f839,f461]) ).
fof(f2009,plain,
! [X0] :
( ~ leq(s(X0),zero)
| ~ leq(host(sK5),X0) ),
inference(subsumption_resolution,[],[f1968,f356]) ).
fof(f1968,plain,
! [X0] :
( leq(host(sK4),host(sK5))
| ~ leq(s(X0),zero)
| ~ leq(host(sK5),X0) ),
inference(resolution,[],[f839,f446]) ).
fof(f1930,plain,
! [X0] :
( leq(X0,host(sK5))
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(resolution,[],[f839,f518]) ).
fof(f1929,plain,
! [X0] :
( leq(X0,host(sK5))
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(resolution,[],[f839,f431]) ).
fof(f1928,plain,
! [X0] :
( ~ leq(s(s(s(X0))),zero)
| leq(X0,host(sK5)) ),
inference(resolution,[],[f839,f414]) ).
fof(f1926,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(s(s(X1)),zero)
| leq(X1,X0) ),
inference(resolution,[],[f839,f572]) ).
fof(f1925,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(s(s(X1)),zero)
| ~ leq(X0,X1) ),
inference(resolution,[],[f839,f573]) ).
fof(f1924,plain,
! [X0] :
( ~ leq(s(s(X0)),zero)
| leq(X0,host(sK5)) ),
inference(resolution,[],[f839,f406]) ).
fof(f1918,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(s(X1),zero)
| ~ leq(X0,X1) ),
inference(resolution,[],[f839,f292]) ).
fof(f1917,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(s(X1),zero)
| leq(X1,X0) ),
inference(resolution,[],[f839,f497]) ).
fof(f1916,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(s(X1),zero)
| leq(X1,s(X0)) ),
inference(resolution,[],[f839,f519]) ).
fof(f1915,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(s(X1),zero)
| leq(X1,s(X0)) ),
inference(resolution,[],[f839,f519]) ).
fof(f1907,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| ~ leq(X1,zero)
| leq(X1,X0) ),
inference(resolution,[],[f839,f254]) ).
fof(f1906,plain,
! [X0,X1] :
( ~ leq(X1,zero)
| leq(X0,host(sK5))
| leq(X1,X0) ),
inference(resolution,[],[f839,f254]) ).
fof(f839,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| leq(X1,host(sK5))
| ~ leq(X0,zero) ),
inference(resolution,[],[f832,f303]) ).
fof(f1900,plain,
host(sK4) != host(sK5),
inference(equality_resolution,[],[f1253]) ).
fof(f1902,plain,
host(sK4) != host(sK5),
inference(subsumption_resolution,[],[f1898,f203]) ).
fof(f1898,plain,
( host(sK4) != host(sK5)
| host(sK4) != host(sK6) ),
inference(superposition,[],[f1253,f203]) ).
fof(f1253,plain,
! [X0] :
( host(X0) != host(sK5)
| host(X0) != host(sK4) ),
inference(superposition,[],[f257,f354]) ).
fof(f1868,plain,
! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(X0,pids) ),
inference(resolution,[],[f1007,f525]) ).
fof(f1878,plain,
( sK7 = index(elid,nbr_proc)
| ~ setIn(sK7,alive) ),
inference(forward_demodulation,[],[f1877,f332]) ).
fof(f1877,plain,
( ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7)) ),
inference(subsumption_resolution,[],[f1871,f337]) ).
fof(f1871,plain,
( elec_1 != index(status,nbr_proc)
| ~ setIn(sK7,alive)
| sK7 = index(elid,host(sK7)) ),
inference(superposition,[],[f186,f332]) ).
fof(f1874,plain,
( sK9 = index(elid,nbr_proc)
| ~ setIn(sK9,alive) ),
inference(forward_demodulation,[],[f1873,f209]) ).
fof(f1873,plain,
( ~ setIn(sK9,alive)
| sK9 = index(elid,host(sK9)) ),
inference(subsumption_resolution,[],[f1869,f337]) ).
fof(f1869,plain,
( elec_1 != index(status,nbr_proc)
| ~ setIn(sK9,alive)
| sK9 = index(elid,host(sK9)) ),
inference(superposition,[],[f186,f209]) ).
fof(f186,plain,
! [X28] :
( elec_1 != index(status,host(X28))
| ~ setIn(X28,alive)
| index(elid,host(X28)) = X28 ),
inference(cnf_transformation,[],[f151]) ).
fof(f1007,plain,
! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK4)))
| setIn(X0,pids) ),
inference(superposition,[],[f259,f203]) ).
fof(f1863,plain,
( setIn(sK6,pids)
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f1861,plain,
( spl14_18
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f978,plain,
! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK4)))
| setIn(sK6,pids) ),
inference(superposition,[],[f258,f203]) ).
fof(f1854,plain,
! [X0,X1] :
( leq(X0,s(s(s(host(X1)))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f1846,f303]) ).
fof(f1846,plain,
! [X0] : leq(zero,s(s(s(host(X0))))),
inference(resolution,[],[f1786,f254]) ).
fof(f1847,plain,
! [X0] : leq(zero,s(s(s(host(X0))))),
inference(resolution,[],[f1786,f254]) ).
fof(f1786,plain,
! [X0] : ~ leq(s(s(s(host(X0)))),zero),
inference(resolution,[],[f834,f408]) ).
fof(f1842,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1755,f501]) ).
fof(f1841,plain,
~ leq(s(s(s(s(s(s(nbr_proc)))))),zero),
inference(resolution,[],[f1755,f434]) ).
fof(f1834,plain,
! [X0] :
( ~ leq(X0,zero)
| s(nbr_proc) = X0
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[],[f1755,f293]) ).
fof(f1833,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(X1,s(nbr_proc))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1755,f303]) ).
fof(f1755,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,zero) ),
inference(resolution,[],[f1290,f501]) ).
fof(f1828,plain,
! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ),
inference(superposition,[],[f308,f301]) ).
fof(f1827,plain,
! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ),
inference(superposition,[],[f308,f234]) ).
fof(f1825,plain,
! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ),
inference(resolution,[],[f308,f282]) ).
fof(f1824,plain,
! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ),
inference(resolution,[],[f308,f273]) ).
fof(f1830,plain,
! [X0,X1] :
( head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) ),
inference(subsumption_resolution,[],[f1822,f249]) ).
fof(f1822,plain,
! [X0,X1] :
( head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0)
| q_nil = snoc(X0,X1) ),
inference(resolution,[],[f308,f894]) ).
fof(f1813,plain,
! [X0,X1] :
( leq(X0,s(s(host(X1))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f1805,f303]) ).
fof(f1805,plain,
! [X0] : leq(zero,s(s(host(X0)))),
inference(resolution,[],[f1785,f254]) ).
fof(f1806,plain,
! [X0] : leq(zero,s(s(host(X0)))),
inference(resolution,[],[f1785,f254]) ).
fof(f1785,plain,
! [X0] : ~ leq(s(s(host(X0))),zero),
inference(resolution,[],[f834,f404]) ).
fof(f1784,plain,
! [X0] : ~ leq(s(host(X0)),zero),
inference(resolution,[],[f834,f225]) ).
fof(f1790,plain,
! [X0,X1] :
( ~ leq(s(X0),zero)
| leq(X0,host(X1)) ),
inference(resolution,[],[f834,f456]) ).
fof(f1789,plain,
! [X0,X1] :
( ~ leq(s(X0),zero)
| leq(X0,s(host(X1))) ),
inference(resolution,[],[f834,f501]) ).
fof(f1788,plain,
! [X0] : ~ leq(s(s(s(s(s(host(X0)))))),zero),
inference(resolution,[],[f834,f434]) ).
fof(f1787,plain,
! [X0] : ~ leq(s(s(s(s(host(X0))))),zero),
inference(resolution,[],[f834,f416]) ).
fof(f1766,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| host(X1) = X0
| ~ leq(host(X1),X0) ),
inference(resolution,[],[f834,f293]) ).
fof(f1765,plain,
! [X2,X0,X1] :
( ~ leq(X0,zero)
| leq(X1,host(X2))
| ~ leq(X1,X0) ),
inference(resolution,[],[f834,f303]) ).
fof(f834,plain,
! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ),
inference(resolution,[],[f303,f492]) ).
fof(f1698,plain,
! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))),
inference(superposition,[],[f1656,f230]) ).
fof(f1759,plain,
! [X0] :
( ~ leq(X0,zero)
| nbr_proc = s(X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(resolution,[],[f1290,f293]) ).
fof(f1758,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(X1,nbr_proc)
| ~ leq(X1,s(X0)) ),
inference(resolution,[],[f1290,f303]) ).
fof(f1290,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ),
inference(resolution,[],[f826,f270]) ).
fof(f1746,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| s(zero) = s(X0)
| leq(s(zero),X0) ),
inference(resolution,[],[f1275,f290]) ).
fof(f1741,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| ~ leq(X1,s(zero)) ),
inference(resolution,[],[f1275,f303]) ).
fof(f1725,plain,
! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ),
inference(superposition,[],[f305,f233]) ).
fof(f1724,plain,
! [X0] :
( ~ elem(X0,queue(host(sK4)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) ),
inference(superposition,[],[f305,f196]) ).
fof(f1723,plain,
! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ),
inference(resolution,[],[f305,f282]) ).
fof(f1722,plain,
! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ),
inference(resolution,[],[f305,f273]) ).
fof(f1726,plain,
! [X0,X1] :
( last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) ),
inference(subsumption_resolution,[],[f1721,f248]) ).
fof(f1721,plain,
! [X0,X1] :
( last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1)
| q_nil = cons(X0,X1) ),
inference(resolution,[],[f305,f931]) ).
fof(f305,plain,
! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f1712,plain,
! [X0,X1] :
( leq(s(X0),nbr_proc)
| host(X1) = s(X0)
| leq(host(X1),X0) ),
inference(resolution,[],[f1075,f290]) ).
fof(f1707,plain,
! [X2,X0,X1] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| ~ leq(X1,host(X2)) ),
inference(resolution,[],[f1075,f303]) ).
fof(f1075,plain,
! [X0,X1] :
( leq(host(X1),X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f825,f254]) ).
fof(f1700,plain,
! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))),
inference(superposition,[],[f1656,f301]) ).
fof(f1699,plain,
! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ),
inference(superposition,[],[f1656,f234]) ).
fof(f1656,plain,
! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))),
inference(superposition,[],[f325,f301]) ).
fof(f931,plain,
! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ),
inference(superposition,[],[f325,f234]) ).
fof(f894,plain,
! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ),
inference(superposition,[],[f324,f233]) ).
fof(f1690,plain,
! [X0] :
( leq(zero,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(resolution,[],[f1615,f456]) ).
fof(f1689,plain,
! [X0] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(resolution,[],[f1615,f501]) ).
fof(f1688,plain,
leq(zero,s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(resolution,[],[f1615,f434]) ).
fof(f1687,plain,
leq(zero,s(s(s(s(s(s(s(nbr_proc)))))))),
inference(resolution,[],[f1615,f416]) ).
fof(f1681,plain,
! [X0] :
( leq(zero,X0)
| s(s(s(nbr_proc))) = X0
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(resolution,[],[f1615,f293]) ).
fof(f1680,plain,
! [X0,X1] :
( leq(zero,X0)
| leq(X1,s(s(s(nbr_proc))))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1615,f303]) ).
fof(f1615,plain,
! [X0] :
( leq(X0,s(s(s(nbr_proc))))
| leq(zero,X0) ),
inference(resolution,[],[f1418,f408]) ).
fof(f1676,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1403,f456]) ).
fof(f1675,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(resolution,[],[f1403,f501]) ).
fof(f1674,plain,
leq(zero,s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(resolution,[],[f1403,f434]) ).
fof(f1673,plain,
leq(zero,s(s(s(s(s(s(s(nbr_proc)))))))),
inference(resolution,[],[f1403,f416]) ).
fof(f1667,plain,
! [X0] :
( leq(zero,s(X0))
| s(s(nbr_proc)) = X0
| ~ leq(s(s(nbr_proc)),X0) ),
inference(resolution,[],[f1403,f293]) ).
fof(f1666,plain,
! [X0,X1] :
( leq(zero,s(X0))
| leq(X1,s(s(nbr_proc)))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1403,f303]) ).
fof(f1403,plain,
! [X0] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(X0)) ),
inference(resolution,[],[f1388,f501]) ).
fof(f1662,plain,
! [X0] :
( leq(X0,nbr_proc)
| zero = s(s(s(X0)))
| ~ leq(s(s(s(X0))),zero) ),
inference(resolution,[],[f1447,f293]) ).
fof(f1661,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(X1,s(s(s(X0))))
| ~ leq(X1,zero) ),
inference(resolution,[],[f1447,f303]) ).
fof(f1447,plain,
! [X0] :
( leq(zero,s(s(s(X0))))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f1373,f414]) ).
fof(f1658,plain,
! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ),
inference(superposition,[],[f302,f301]) ).
fof(f1657,plain,
! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ),
inference(superposition,[],[f255,f301]) ).
fof(f1655,plain,
! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ),
inference(superposition,[],[f310,f301]) ).
fof(f1654,plain,
! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ),
inference(superposition,[],[f289,f301]) ).
fof(f1653,plain,
! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ),
inference(superposition,[],[f288,f301]) ).
fof(f1652,plain,
! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ),
inference(superposition,[],[f287,f301]) ).
fof(f1651,plain,
! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2,
inference(superposition,[],[f253,f301]) ).
fof(f1650,plain,
! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))),
inference(superposition,[],[f252,f301]) ).
fof(f1648,plain,
! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ),
inference(superposition,[],[f301,f233]) ).
fof(f1647,plain,
! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK4)),X0),
inference(superposition,[],[f301,f196]) ).
fof(f301,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(f1645,plain,
! [X0] :
( leq(zero,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1614,f456]) ).
fof(f1644,plain,
! [X0] :
( leq(zero,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(resolution,[],[f1614,f501]) ).
fof(f1643,plain,
leq(zero,s(s(s(s(s(s(s(nbr_proc)))))))),
inference(resolution,[],[f1614,f434]) ).
fof(f1636,plain,
! [X0] :
( leq(zero,X0)
| s(s(nbr_proc)) = X0
| ~ leq(s(s(nbr_proc)),X0) ),
inference(resolution,[],[f1614,f293]) ).
fof(f1635,plain,
! [X0,X1] :
( leq(zero,X0)
| leq(X1,s(s(nbr_proc)))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1614,f303]) ).
fof(f1614,plain,
! [X0] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,X0) ),
inference(resolution,[],[f1418,f404]) ).
fof(f1627,plain,
! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,nbr_proc)
| zero = s(X0)
| leq(zero,X0) ),
inference(resolution,[],[f1418,f290]) ).
fof(f1622,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,nbr_proc)
| leq(X2,X0)
| ~ leq(X2,zero) ),
inference(resolution,[],[f1418,f303]) ).
fof(f1619,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(zero,X0)
| leq(X1,nbr_proc) ),
inference(resolution,[],[f1418,f456]) ).
fof(f1618,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(zero,X0)
| leq(X1,s(nbr_proc)) ),
inference(resolution,[],[f1418,f501]) ).
fof(f1617,plain,
! [X0] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| leq(zero,X0) ),
inference(resolution,[],[f1418,f434]) ).
fof(f1616,plain,
! [X0] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(zero,X0) ),
inference(resolution,[],[f1418,f416]) ).
fof(f1612,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(zero,X0)
| nbr_proc = X1
| ~ leq(nbr_proc,X1) ),
inference(resolution,[],[f1418,f293]) ).
fof(f1611,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| leq(zero,X0)
| leq(X2,nbr_proc)
| ~ leq(X2,X1) ),
inference(resolution,[],[f1418,f303]) ).
fof(f1609,plain,
! [X0,X1] :
( leq(pidMsg(X0),nbr_proc)
| leq(zero,pidMsg(sK13(X0,X1)))
| sP1(X0,X1) ),
inference(resolution,[],[f1418,f286]) ).
fof(f1608,plain,
! [X0,X1] :
( leq(pidMsg(sK12(X0,X1)),nbr_proc)
| leq(zero,pidMsg(X0))
| sP0(X0,X1) ),
inference(resolution,[],[f1418,f277]) ).
fof(f1586,plain,
! [X0,X1] :
( leq(s(X0),nbr_proc)
| leq(zero,s(X1))
| leq(X1,X0) ),
inference(resolution,[],[f1418,f271]) ).
fof(f1570,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,X0) ),
inference(resolution,[],[f1418,f456]) ).
fof(f1569,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f1418,f501]) ).
fof(f1568,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(resolution,[],[f1418,f434]) ).
fof(f1567,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(X0))))) ),
inference(resolution,[],[f1418,f416]) ).
fof(f1566,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(resolution,[],[f1418,f408]) ).
fof(f1557,plain,
! [X0,X1] :
( leq(s(X0),nbr_proc)
| leq(zero,X1)
| s(X0) = X1
| leq(X1,X0) ),
inference(resolution,[],[f1418,f290]) ).
fof(f1552,plain,
! [X2,X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,X1)
| leq(X2,X0)
| ~ leq(X2,X1) ),
inference(resolution,[],[f1418,f303]) ).
fof(f1418,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f1369,f254]) ).
fof(f1536,plain,
! [X0] :
( nbr_proc = s(s(X0))
| leq(zero,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(resolution,[],[f1374,f573]) ).
fof(f1529,plain,
! [X0] :
( nbr_proc = s(X0)
| leq(zero,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(resolution,[],[f1374,f292]) ).
fof(f1374,plain,
! [X0] :
( ~ leq(nbr_proc,X0)
| nbr_proc = X0
| leq(zero,X0) ),
inference(resolution,[],[f1365,f293]) ).
fof(f1486,plain,
! [X0,X1] :
( leq(s(X0),nbr_proc)
| leq(zero,s(X1))
| ~ leq(X0,X1) ),
inference(resolution,[],[f1373,f270]) ).
fof(f1485,plain,
! [X0,X1] :
( leq(s(X0),nbr_proc)
| leq(zero,s(X1))
| leq(X1,X0) ),
inference(resolution,[],[f1373,f461]) ).
fof(f1449,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(resolution,[],[f1373,f518]) ).
fof(f1448,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(X0))))) ),
inference(resolution,[],[f1373,f431]) ).
fof(f1445,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f1373,f572]) ).
fof(f1444,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| ~ leq(X0,X1) ),
inference(resolution,[],[f1373,f573]) ).
fof(f1437,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| ~ leq(X0,X1) ),
inference(resolution,[],[f1373,f292]) ).
fof(f1436,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,X0) ),
inference(resolution,[],[f1373,f497]) ).
fof(f1435,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f1373,f519]) ).
fof(f1434,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f1373,f519]) ).
fof(f1427,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,X1)
| leq(X1,X0) ),
inference(resolution,[],[f1373,f254]) ).
fof(f1426,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(zero,X1)
| leq(X1,X0) ),
inference(resolution,[],[f1373,f254]) ).
fof(f1373,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| leq(X1,nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f1365,f303]) ).
fof(f1419,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f1369,f254]) ).
fof(f1369,plain,
! [X0,X1] :
( ~ leq(X1,zero)
| leq(X1,X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f1365,f303]) ).
fof(f1415,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(s(host(sK4)))) ),
inference(resolution,[],[f1364,f501]) ).
fof(f1414,plain,
~ leq(s(s(s(s(s(s(host(sK4))))))),zero),
inference(resolution,[],[f1364,f434]) ).
fof(f1407,plain,
! [X0] :
( ~ leq(X0,zero)
| s(host(sK4)) = X0
| ~ leq(s(host(sK4)),X0) ),
inference(resolution,[],[f1364,f293]) ).
fof(f1406,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(X1,s(host(sK4)))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1364,f303]) ).
fof(f1364,plain,
! [X0] :
( leq(X0,s(host(sK4)))
| ~ leq(X0,zero) ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f184,f235,f276,f272,f285,f281,f321,f322,f323,f301,f304,f305,f308,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1075,f1076,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1105,f1128,f1127,f1129,f1125,f1131,f1132,f1133,f1082,f1143,f1144,f1107,f1146,f1147,f1154,f1155,f1141,f1160,f1162,f1163,f1168,f1170,f1171,f1149,f1176,f1177,f312,f1152,f1182,f1183,f1140,f1184,f1165,f1186,f1174,f1189,f1190,f185,f1192,f1200,f1194,f1195,f1201,f1197,f1180,f1202,f1203,f1204,f1153,f1209,f1210,f1156,f1214,f1215,f1213,f1218,f1217,f1220,f1221,f1227,f1228,f1229,f1230,f1231,f1123,f1234,f1235,f1241,f1242,f1243,f1244,f1169,f1245,f1172,f1247,f257,f1254,f1257,f1258,f1253,f1255,f1207,f1264,f1265,f1212,f1266,f1267,f826,f1272,f1275,f1276,f1289,f1290,f290,f1308]) ).
fof(f1395,plain,
! [X0] :
( leq(zero,X0)
| s(nbr_proc) = X0
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[],[f1388,f293]) ).
fof(f1394,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| leq(X1,s(nbr_proc))
| leq(zero,X0) ),
inference(resolution,[],[f1388,f303]) ).
fof(f1388,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(zero,X0) ),
inference(resolution,[],[f1382,f501]) ).
fof(f1391,plain,
! [X0] :
( leq(zero,X0)
| nbr_proc = s(X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(resolution,[],[f1382,f293]) ).
fof(f1390,plain,
! [X0,X1] :
( ~ leq(X1,s(X0))
| leq(X1,nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f1382,f303]) ).
fof(f1382,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| leq(zero,X0) ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f184,f235,f276,f272,f285,f281,f321,f322,f323,f301,f304,f305,f308,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1075,f1076,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1105,f1128,f1127,f1129,f1125,f1131,f1132,f1133,f1082,f1143,f1144,f1107,f1146,f1147,f1154,f1155,f1141,f1160,f1162,f1163,f1168,f1170,f1171,f1149,f1176,f1177,f312,f1152,f1182,f1183,f1140,f1184,f1165,f1186,f1174,f1189,f1190,f185,f1192,f1200,f1194,f1195,f1201,f1197,f1180,f1202,f1203,f1204,f1153,f1209,f1210,f1156,f1214,f1215,f1213,f1218,f1217,f1220,f1221,f1227,f1228,f1229,f1230,f1231,f1123,f1234,f1235,f1241,f1242,f1243,f1244,f1169,f1245,f1172,f1247,f257,f1254,f1257,f1258,f1253,f1255,f1207,f1264,f1265,f1212,f1266,f1267,f826,f1272,f1275,f1276,f1289,f1290,f290,f1308,f1364,f1317,f1318,f1336,f1337,f1338,f1342,f1343,f1344,f1345,f1346,f1347,f1366,f1365,f1369,f1372]) ).
fof(f1372,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| zero = s(X0)
| leq(zero,X0) ),
inference(resolution,[],[f1365,f290]) ).
fof(f1365,plain,
! [X0] :
( leq(zero,X0)
| leq(X0,nbr_proc) ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f184,f235,f276,f272,f285,f281,f321,f322,f323,f301,f304,f305,f308,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1075,f1076,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1105,f1128,f1127,f1129,f1125,f1131,f1132,f1133,f1082,f1143,f1144,f1107,f1146,f1147,f1154,f1155,f1141,f1160,f1162,f1163,f1168,f1170,f1171,f1149,f1176,f1177,f312,f1152,f1182,f1183,f1140,f1184,f1165,f1186,f1174,f1189,f1190,f185,f1192,f1200,f1194,f1195,f1201,f1197,f1180,f1202,f1203,f1204,f1153,f1209,f1210,f1156,f1214,f1215,f1213,f1218,f1217,f1220,f1221,f1227,f1228,f1229,f1230,f1231,f1123,f1234,f1235,f1241,f1242,f1243,f1244,f1169,f1245,f1172,f1247,f257,f1254,f1257,f1258,f1253,f1255,f1207,f1264,f1265,f1212,f1266,f1267,f826,f1272,f1275,f1276,f1289,f1290,f290,f1308,f1364,f1317,f1318,f1336,f1337,f1338,f1342,f1343,f1344,f1345]) ).
fof(f1347,plain,
! [X0] :
( zero = s(X0)
| leq(zero,X0)
| leq(X0,host(sK5)) ),
inference(resolution,[],[f290,f938]) ).
fof(f1346,plain,
! [X0] :
( zero = s(X0)
| leq(zero,X0)
| leq(X0,host(sK4)) ),
inference(resolution,[],[f290,f941]) ).
fof(f1345,plain,
! [X0] :
( zero = s(X0)
| leq(zero,X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f290,f1069]) ).
fof(f1344,plain,
! [X0] :
( zero = s(X0)
| leq(zero,X0)
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f290,f1217]) ).
fof(f1343,plain,
! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ),
inference(resolution,[],[f290,f270]) ).
fof(f1342,plain,
! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| leq(X0,X1) ),
inference(resolution,[],[f290,f461]) ).
fof(f1338,plain,
! [X0] :
( s(X0) = host(sK5)
| leq(host(sK5),X0)
| leq(s(X0),s(nbr_proc)) ),
inference(resolution,[],[f290,f1141]) ).
fof(f1337,plain,
! [X0] :
( s(X0) = host(sK4)
| leq(host(sK4),X0)
| ~ leq(host(sK5),X0) ),
inference(resolution,[],[f290,f446]) ).
fof(f1336,plain,
! [X0] :
( s(X0) = host(sK4)
| leq(host(sK4),X0)
| leq(X0,host(sK5)) ),
inference(resolution,[],[f290,f478]) ).
fof(f1318,plain,
! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ),
inference(resolution,[],[f290,f254]) ).
fof(f1317,plain,
! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,X0)
| s(X0) = X1 ),
inference(resolution,[],[f290,f254]) ).
fof(f1308,plain,
! [X0] :
( s(s(host(sK4))) = X0
| leq(X0,s(host(sK4)))
| ~ leq(X0,zero) ),
inference(resolution,[],[f290,f869]) ).
fof(f1289,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f826,f461]) ).
fof(f1276,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ),
inference(resolution,[],[f826,f254]) ).
fof(f1272,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f826,f497]) ).
fof(f1267,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| zero = s(s(X0))
| ~ leq(s(s(X0)),zero) ),
inference(resolution,[],[f1212,f293]) ).
fof(f1266,plain,
! [X0,X1] :
( leq(X0,s(nbr_proc))
| leq(X1,s(s(X0)))
| ~ leq(X1,zero) ),
inference(resolution,[],[f1212,f303]) ).
fof(f1212,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f1156,f938]) ).
fof(f1265,plain,
( zero = s(s(s(s(s(s(nbr_proc))))))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),zero) ),
inference(resolution,[],[f1207,f293]) ).
fof(f1264,plain,
! [X0] :
( leq(X0,s(s(s(s(s(s(nbr_proc)))))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f1207,f303]) ).
fof(f1207,plain,
leq(zero,s(s(s(s(s(s(nbr_proc))))))),
inference(resolution,[],[f1153,f938]) ).
fof(f1255,plain,
! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) ),
inference(inner_rewriting,[],[f1254]) ).
fof(f1258,plain,
! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) ),
inference(inner_rewriting,[],[f1257]) ).
fof(f1257,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != s(nbr_proc) ),
inference(forward_demodulation,[],[f1252,f332]) ).
fof(f1252,plain,
! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != host(sK7) ),
inference(superposition,[],[f257,f332]) ).
fof(f1254,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != s(nbr_proc) ),
inference(forward_demodulation,[],[f1250,f209]) ).
fof(f1250,plain,
! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != host(sK9) ),
inference(superposition,[],[f257,f209]) ).
fof(f257,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(f1247,plain,
! [X0,X1] :
( leq(X0,s(nbr_proc))
| leq(X1,s(X0))
| ~ leq(X1,host(sK5)) ),
inference(resolution,[],[f1172,f303]) ).
fof(f1172,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f1141,f456]) ).
fof(f1245,plain,
! [X0] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f1169,f303]) ).
fof(f1169,plain,
leq(host(sK5),s(s(s(s(s(nbr_proc)))))),
inference(resolution,[],[f1141,f416]) ).
fof(f1244,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1123,f456]) ).
fof(f1243,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(resolution,[],[f1123,f501]) ).
fof(f1242,plain,
~ leq(s(s(s(s(s(s(s(nbr_proc))))))),host(sK5)),
inference(resolution,[],[f1123,f434]) ).
fof(f1241,plain,
~ leq(s(s(s(s(s(s(nbr_proc)))))),host(sK5)),
inference(resolution,[],[f1123,f416]) ).
fof(f1235,plain,
! [X0] :
( ~ leq(X0,host(sK5))
| s(s(nbr_proc)) = X0
| ~ leq(s(s(nbr_proc)),X0) ),
inference(resolution,[],[f1123,f293]) ).
fof(f1234,plain,
! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X1,s(s(nbr_proc)))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1123,f303]) ).
fof(f1123,plain,
! [X0] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f1120,f303]) ).
fof(f1231,plain,
! [X0,X1] :
( leq(X0,s(nbr_proc))
| leq(X1,s(X0))
| ~ leq(X1,zero) ),
inference(resolution,[],[f1217,f303]) ).
fof(f1230,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f1217,f456]) ).
fof(f1229,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1217,f501]) ).
fof(f1228,plain,
leq(zero,s(s(s(s(s(s(s(nbr_proc)))))))),
inference(resolution,[],[f1217,f434]) ).
fof(f1227,plain,
leq(zero,s(s(s(s(s(s(nbr_proc))))))),
inference(resolution,[],[f1217,f416]) ).
fof(f1221,plain,
! [X0] :
( leq(zero,s(X0))
| s(nbr_proc) = X0
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[],[f1217,f293]) ).
fof(f1220,plain,
! [X0,X1] :
( leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1217,f303]) ).
fof(f1217,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(zero,s(X0)) ),
inference(resolution,[],[f1213,f254]) ).
fof(f1218,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(zero,s(X0)) ),
inference(resolution,[],[f1213,f254]) ).
fof(f1213,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f1156,f832]) ).
fof(f1215,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(host(sK5),s(X0)) ),
inference(resolution,[],[f1156,f254]) ).
fof(f1214,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(host(sK5),s(X0)) ),
inference(resolution,[],[f1156,f254]) ).
fof(f1156,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f1107,f456]) ).
fof(f1210,plain,
leq(host(sK5),s(s(s(s(s(nbr_proc)))))),
inference(resolution,[],[f1153,f254]) ).
fof(f1209,plain,
leq(host(sK5),s(s(s(s(s(nbr_proc)))))),
inference(resolution,[],[f1153,f254]) ).
fof(f1153,plain,
~ leq(s(s(s(s(s(nbr_proc))))),host(sK5)),
inference(resolution,[],[f1107,f416]) ).
fof(f1204,plain,
~ leq(s(s(s(s(s(nbr_proc))))),zero),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f184,f235,f257,f276,f272,f285,f281,f321,f290,f322,f323,f301,f304,f305,f308,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f826,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1075,f1076,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1123,f1105,f1128,f1127,f1129,f1125,f1131,f1132,f1133,f1082,f1143,f1144,f1107,f1146,f1147,f1153,f1154,f1155,f1156,f1141,f1160,f1162,f1163,f1168,f1169,f1170,f1171,f1172,f1149,f1176,f1177,f312,f1152,f1182,f1183,f1140,f1184,f1165,f1186,f1174,f1189,f1190,f185,f1192,f1200,f1194,f1195,f1201,f1197,f1180,f1202,f1203]) ).
fof(f1203,plain,
( zero = s(s(s(s(s(nbr_proc)))))
| ~ leq(s(s(s(s(s(nbr_proc))))),zero) ),
inference(resolution,[],[f1180,f293]) ).
fof(f1202,plain,
! [X0] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f1180,f303]) ).
fof(f1180,plain,
leq(zero,s(s(s(s(s(nbr_proc)))))),
inference(resolution,[],[f1152,f938]) ).
fof(f1197,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ setIn(sK7,alive)
| sK7 = X0 ),
inference(superposition,[],[f185,f332]) ).
fof(f1201,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(X0,alive)
| sK6 = X0 ),
inference(subsumption_resolution,[],[f1196,f211]) ).
fof(f1196,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| sK6 = X0 ),
inference(superposition,[],[f185,f203]) ).
fof(f1195,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ setIn(X0,alive)
| ~ setIn(sK9,alive)
| sK9 = X0 ),
inference(superposition,[],[f185,f209]) ).
fof(f1194,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| sK7 = X0 ),
inference(superposition,[],[f185,f332]) ).
fof(f1200,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(X0,alive)
| sK6 = X0 ),
inference(subsumption_resolution,[],[f1193,f211]) ).
fof(f1193,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| sK6 = X0 ),
inference(superposition,[],[f185,f203]) ).
fof(f1192,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| sK9 = X0 ),
inference(superposition,[],[f185,f209]) ).
fof(f185,plain,
! [X29,X30] :
( host(X29) != host(X30)
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| X29 = X30 ),
inference(cnf_transformation,[],[f151]) ).
fof(f1190,plain,
! [X0] :
( leq(X0,nbr_proc)
| zero = s(s(X0))
| ~ leq(s(s(X0)),zero) ),
inference(resolution,[],[f1174,f293]) ).
fof(f1189,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(X1,s(s(X0)))
| ~ leq(X1,zero) ),
inference(resolution,[],[f1174,f303]) ).
fof(f1174,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f1149,f938]) ).
fof(f1186,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(X1,s(X0))
| ~ leq(X1,host(sK5)) ),
inference(resolution,[],[f1165,f303]) ).
fof(f1165,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f1141,f271]) ).
fof(f1184,plain,
! [X0] :
( leq(X0,s(s(s(s(nbr_proc)))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f1140,f303]) ).
fof(f1140,plain,
leq(host(sK5),s(s(s(s(nbr_proc))))),
inference(resolution,[],[f1082,f434]) ).
fof(f1183,plain,
leq(host(sK5),s(s(s(s(nbr_proc))))),
inference(resolution,[],[f1152,f254]) ).
fof(f1182,plain,
leq(host(sK5),s(s(s(s(nbr_proc))))),
inference(resolution,[],[f1152,f254]) ).
fof(f1152,plain,
~ leq(s(s(s(s(nbr_proc)))),host(sK5)),
inference(resolution,[],[f1107,f408]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
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(f1177,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(host(sK5),s(X0)) ),
inference(resolution,[],[f1149,f254]) ).
fof(f1176,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(host(sK5),s(X0)) ),
inference(resolution,[],[f1149,f254]) ).
fof(f1149,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f1107,f271]) ).
fof(f1171,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1141,f501]) ).
fof(f1170,plain,
leq(host(sK5),s(s(s(s(s(s(nbr_proc))))))),
inference(resolution,[],[f1141,f434]) ).
fof(f1168,plain,
leq(host(sK5),s(s(s(s(nbr_proc))))),
inference(resolution,[],[f1141,f408]) ).
fof(f1163,plain,
! [X0] :
( leq(host(sK5),X0)
| s(nbr_proc) = X0
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[],[f1141,f293]) ).
fof(f1162,plain,
! [X0,X1] :
( leq(host(sK5),X0)
| leq(X1,s(nbr_proc))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1141,f303]) ).
fof(f1160,plain,
! [X0,X1] :
( leq(X0,s(nbr_proc))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) ),
inference(resolution,[],[f1141,f303]) ).
fof(f1155,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(nbr_proc))) ),
inference(resolution,[],[f1107,f501]) ).
fof(f1154,plain,
~ leq(s(s(s(s(s(s(nbr_proc)))))),host(sK5)),
inference(resolution,[],[f1107,f434]) ).
fof(f1147,plain,
! [X0] :
( ~ leq(X0,host(sK5))
| s(nbr_proc) = X0
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[],[f1107,f293]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X1,s(nbr_proc))
| ~ leq(X1,X0) ),
inference(resolution,[],[f1107,f303]) ).
fof(f1144,plain,
! [X0] :
( leq(host(sK5),X0)
| nbr_proc = s(X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(resolution,[],[f1082,f293]) ).
fof(f1143,plain,
! [X0,X1] :
( leq(host(sK5),X0)
| leq(X1,nbr_proc)
| ~ leq(X1,s(X0)) ),
inference(resolution,[],[f1082,f303]) ).
fof(f1133,plain,
~ leq(s(s(s(s(nbr_proc)))),zero),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f185,f184,f235,f257,f276,f272,f285,f281,f321,f290,f322,f323,f301,f304,f305,f308,f312,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f826,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1075,f1076,f1082,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1107,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1123,f1105,f1128,f1127,f1129,f1125,f1131,f1132]) ).
fof(f1132,plain,
( zero = s(s(s(s(nbr_proc))))
| ~ leq(s(s(s(s(nbr_proc)))),zero) ),
inference(resolution,[],[f1125,f293]) ).
fof(f1131,plain,
! [X0] :
( leq(X0,s(s(s(s(nbr_proc)))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f1125,f303]) ).
fof(f1125,plain,
leq(zero,s(s(s(s(nbr_proc))))),
inference(resolution,[],[f1105,f938]) ).
fof(f1129,plain,
! [X0] :
( leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f1127,f303]) ).
fof(f1127,plain,
leq(host(sK5),s(s(s(nbr_proc)))),
inference(resolution,[],[f1105,f254]) ).
fof(f1128,plain,
leq(host(sK5),s(s(s(nbr_proc)))),
inference(resolution,[],[f1105,f254]) ).
fof(f1105,plain,
~ leq(s(s(s(nbr_proc))),host(sK5)),
inference(resolution,[],[f1083,f416]) ).
fof(f1120,plain,
leq(host(sK5),s(s(nbr_proc))),
inference(resolution,[],[f1104,f254]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
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(f1121,plain,
leq(host(sK5),s(s(nbr_proc))),
inference(resolution,[],[f1104,f254]) ).
fof(f1104,plain,
~ leq(s(s(nbr_proc)),host(sK5)),
inference(resolution,[],[f1083,f408]) ).
fof(f1116,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f1114,f303]) ).
fof(f1114,plain,
leq(host(sK5),s(nbr_proc)),
inference(resolution,[],[f1103,f254]) ).
fof(f1115,plain,
leq(host(sK5),s(nbr_proc)),
inference(resolution,[],[f1103,f254]) ).
fof(f1110,plain,
! [X0] :
( ~ leq(X0,host(sK5))
| nbr_proc = s(X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(resolution,[],[f1083,f293]) ).
fof(f1109,plain,
! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X1,nbr_proc)
| ~ leq(X1,s(X0)) ),
inference(resolution,[],[f1083,f303]) ).
fof(f1106,plain,
~ leq(s(s(s(s(nbr_proc)))),host(sK5)),
inference(resolution,[],[f1083,f434]) ).
fof(f1098,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,nbr_proc) ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f185,f184,f235,f257,f276,f272,f285,f281,f321,f290,f322,f323,f301,f304,f305,f308,f311,f312,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f826,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1075,f1076,f1082,f1083,f1071,f1093,f1069,f1095,f1096]) ).
fof(f1096,plain,
! [X0] :
( leq(X0,nbr_proc)
| zero = s(X0)
| ~ leq(s(X0),zero) ),
inference(resolution,[],[f1069,f293]) ).
fof(f1095,plain,
! [X0,X1] :
( leq(X1,s(X0))
| leq(X0,nbr_proc)
| ~ leq(X1,zero) ),
inference(resolution,[],[f1069,f303]) ).
fof(f1069,plain,
! [X0] :
( leq(zero,s(X0))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f825,f941]) ).
fof(f1093,plain,
! [X0,X1] :
( ~ leq(X1,host(sK5))
| leq(X1,X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f1071,f303]) ).
fof(f1071,plain,
! [X0] :
( leq(host(sK5),X0)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f825,f422]) ).
fof(f1076,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ),
inference(resolution,[],[f825,f254]) ).
fof(f1072,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,s(X0)) ),
inference(resolution,[],[f825,f938]) ).
fof(f1068,plain,
! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ),
inference(superposition,[],[f286,f228]) ).
fof(f1067,plain,
! [X0,X1] :
( ~ leq(pidMsg(sK13(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ),
inference(superposition,[],[f286,f227]) ).
fof(f1066,plain,
! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK13(X0,X1))) ),
inference(resolution,[],[f286,f254]) ).
fof(f1065,plain,
! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK13(X0,X1)))
| sP1(X0,X1) ),
inference(resolution,[],[f286,f254]) ).
fof(f286,plain,
! [X0,X1] :
( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(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,[sK13])],[f169,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK13(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
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) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f168,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(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(f1030,plain,
! [X0] :
( ~ leq(s(s(X0)),zero)
| leq(X0,host(sK4)) ),
inference(resolution,[],[f848,f271]) ).
fof(f1060,plain,
! [X0] :
( leq(X0,host(sK5))
| zero = s(s(X0))
| ~ leq(s(s(X0)),zero) ),
inference(resolution,[],[f964,f293]) ).
fof(f1059,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| leq(X1,s(s(X0)))
| ~ leq(X1,zero) ),
inference(resolution,[],[f964,f303]) ).
fof(f964,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,host(sK5)) ),
inference(resolution,[],[f938,f456]) ).
fof(f1058,plain,
! [X0] :
( leq(X0,host(sK4))
| ~ leq(s(s(X0)),zero) ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f187,f186,f185,f184,f235,f257,f276,f272,f286,f285,f281,f321,f290,f322,f323,f301,f304,f305,f308,f311,f312,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f834,f836,f837,f832,f838,f839,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f894,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f931,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f964,f967,f258,f978,f976,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f1007,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1030,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056]) ).
fof(f1056,plain,
! [X0] :
( leq(X0,host(sK4))
| zero = s(s(X0))
| ~ leq(s(s(X0)),zero) ),
inference(resolution,[],[f957,f293]) ).
fof(f1055,plain,
! [X0,X1] :
( leq(X0,host(sK4))
| leq(X1,s(s(X0)))
| ~ leq(X1,zero) ),
inference(resolution,[],[f957,f303]) ).
fof(f957,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f938,f601]) ).
fof(f1053,plain,
! [X0] :
( leq(X0,s(s(s(s(s(host(sK4)))))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f954,f303]) ).
fof(f954,plain,
leq(zero,s(s(s(s(s(host(sK4))))))),
inference(resolution,[],[f938,f604]) ).
fof(f1052,plain,
! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ),
inference(superposition,[],[f277,f228]) ).
fof(f1051,plain,
! [X0,X1] :
( ~ leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ),
inference(superposition,[],[f277,f227]) ).
fof(f1050,plain,
! [X0,X1] :
( sP0(X0,X1)
| leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ),
inference(resolution,[],[f277,f254]) ).
fof(f1049,plain,
! [X0,X1] :
( leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
| sP0(X0,X1) ),
inference(resolution,[],[f277,f254]) ).
fof(f277,plain,
! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(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,[sK12])],[f163,f164]) ).
fof(f164,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(sK12(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
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) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f162]) ).
fof(f162,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(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(f1048,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(s(host(sK4)))) ),
inference(resolution,[],[f869,f456]) ).
fof(f1047,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(s(s(host(sK4))))) ),
inference(resolution,[],[f869,f501]) ).
fof(f1046,plain,
~ leq(s(s(s(s(s(s(s(host(sK4)))))))),zero),
inference(resolution,[],[f869,f434]) ).
fof(f1045,plain,
~ leq(s(s(s(s(s(s(host(sK4))))))),zero),
inference(resolution,[],[f869,f416]) ).
fof(f1039,plain,
! [X0] :
( ~ leq(X0,zero)
| s(s(host(sK4))) = X0
| ~ leq(s(s(host(sK4))),X0) ),
inference(resolution,[],[f869,f293]) ).
fof(f1038,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(X1,s(s(host(sK4))))
| ~ leq(X1,X0) ),
inference(resolution,[],[f869,f303]) ).
fof(f869,plain,
! [X0] :
( leq(X0,s(s(host(sK4))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f867,f303]) ).
fof(f1037,plain,
! [X0] :
( ~ leq(s(s(X0)),zero)
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f848,f456]) ).
fof(f1036,plain,
! [X0] :
( ~ leq(s(s(X0)),zero)
| leq(X0,s(s(host(sK4)))) ),
inference(resolution,[],[f848,f501]) ).
fof(f1035,plain,
~ leq(s(s(s(s(s(s(s(host(sK4)))))))),zero),
inference(resolution,[],[f848,f434]) ).
fof(f1034,plain,
~ leq(s(s(s(s(s(s(host(sK4))))))),zero),
inference(resolution,[],[f848,f416]) ).
fof(f1028,plain,
! [X0] :
( ~ leq(s(X0),zero)
| s(host(sK4)) = X0
| ~ leq(s(host(sK4)),X0) ),
inference(resolution,[],[f848,f293]) ).
fof(f1027,plain,
! [X0,X1] :
( ~ leq(s(X0),zero)
| leq(X1,s(host(sK4)))
| ~ leq(X1,X0) ),
inference(resolution,[],[f848,f303]) ).
fof(f848,plain,
! [X0] :
( leq(X0,s(host(sK4)))
| ~ leq(s(X0),zero) ),
inference(resolution,[],[f832,f607]) ).
fof(f1026,plain,
leq(zero,s(s(s(s(s(host(sK4))))))),
inference(resolution,[],[f847,f254]) ).
fof(f1025,plain,
leq(zero,s(s(s(s(s(host(sK4))))))),
inference(resolution,[],[f847,f254]) ).
fof(f847,plain,
~ leq(s(s(s(s(s(host(sK4)))))),zero),
inference(resolution,[],[f832,f605]) ).
fof(f1008,plain,
! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(nbr_proc))
| setIn(X0,pids) ),
inference(superposition,[],[f259,f332]) ).
fof(f1006,plain,
! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(nbr_proc))
| setIn(X0,pids) ),
inference(superposition,[],[f259,f209]) ).
fof(f979,plain,
! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(nbr_proc))
| setIn(sK7,pids) ),
inference(superposition,[],[f258,f332]) ).
fof(f977,plain,
! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(nbr_proc))
| setIn(sK9,pids) ),
inference(superposition,[],[f258,f209]) ).
fof(f259,plain,
! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,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(f1003,plain,
! [X0] :
( leq(X0,s(s(s(s(host(sK4))))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f944,f303]) ).
fof(f944,plain,
leq(zero,s(s(s(s(host(sK4)))))),
inference(resolution,[],[f846,f254]) ).
fof(f1000,plain,
! [X0,X1] :
( leq(X0,host(sK4))
| leq(X1,s(X0))
| ~ leq(X1,zero) ),
inference(resolution,[],[f941,f303]) ).
fof(f998,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f941,f456]) ).
fof(f997,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f941,f501]) ).
fof(f996,plain,
leq(zero,s(s(s(s(s(s(host(sK4)))))))),
inference(resolution,[],[f941,f434]) ).
fof(f995,plain,
leq(zero,s(s(s(s(s(host(sK4))))))),
inference(resolution,[],[f941,f416]) ).
fof(f994,plain,
leq(zero,s(s(s(s(host(sK4)))))),
inference(resolution,[],[f941,f408]) ).
fof(f991,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,host(sK5)) ),
inference(resolution,[],[f941,f464]) ).
fof(f989,plain,
! [X0] :
( leq(zero,s(X0))
| host(sK4) = X0
| ~ leq(host(sK4),X0) ),
inference(resolution,[],[f941,f293]) ).
fof(f988,plain,
! [X0,X1] :
( leq(zero,s(X0))
| leq(X1,host(sK4))
| ~ leq(X1,X0) ),
inference(resolution,[],[f941,f303]) ).
fof(f941,plain,
! [X0] :
( leq(X0,host(sK4))
| leq(zero,s(X0)) ),
inference(resolution,[],[f864,f254]) ).
fof(f985,plain,
( ~ setIn(sK4,pids)
| spl14_12 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f984,plain,
( spl14_12
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f976,plain,
! [X0] :
( setIn(sK4,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ),
inference(resolution,[],[f258,f525]) ).
fof(f258,plain,
! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) ),
inference(cnf_transformation,[],[f130]) ).
fof(f967,plain,
! [X0,X1] :
( leq(X0,host(sK5))
| leq(X1,s(X0))
| ~ leq(X1,zero) ),
inference(resolution,[],[f938,f303]) ).
fof(f975,plain,
! [X0] :
( leq(X0,host(sK4))
| leq(zero,s(s(X0))) ),
inference(forward_demodulation,[],[f963,f354]) ).
fof(f963,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(host(sK5))) ),
inference(resolution,[],[f938,f501]) ).
fof(f974,plain,
leq(zero,s(s(s(s(s(host(sK4))))))),
inference(forward_demodulation,[],[f962,f354]) ).
fof(f962,plain,
leq(zero,s(s(s(s(s(s(host(sK5)))))))),
inference(resolution,[],[f938,f434]) ).
fof(f973,plain,
leq(zero,s(s(s(s(host(sK4)))))),
inference(forward_demodulation,[],[f961,f354]) ).
fof(f961,plain,
leq(zero,s(s(s(s(s(host(sK5))))))),
inference(resolution,[],[f938,f416]) ).
fof(f956,plain,
! [X0] :
( leq(zero,s(s(X0)))
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f938,f607]) ).
fof(f955,plain,
leq(zero,s(s(s(s(s(s(host(sK4)))))))),
inference(resolution,[],[f938,f605]) ).
fof(f953,plain,
leq(zero,s(s(s(s(host(sK4)))))),
inference(resolution,[],[f938,f435]) ).
fof(f948,plain,
! [X0] :
( leq(zero,s(X0))
| host(sK5) = X0
| ~ leq(host(sK5),X0) ),
inference(resolution,[],[f938,f293]) ).
fof(f947,plain,
! [X0,X1] :
( leq(zero,s(X0))
| leq(X1,host(sK5))
| ~ leq(X1,X0) ),
inference(resolution,[],[f938,f303]) ).
fof(f946,plain,
! [X0] :
( leq(zero,s(X0))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f938,f405]) ).
fof(f938,plain,
! [X0] :
( leq(X0,host(sK5))
| leq(zero,s(X0)) ),
inference(resolution,[],[f856,f254]) ).
fof(f945,plain,
leq(zero,s(s(s(s(host(sK4)))))),
inference(resolution,[],[f846,f254]) ).
fof(f846,plain,
~ leq(s(s(s(s(host(sK4))))),zero),
inference(resolution,[],[f832,f604]) ).
fof(f942,plain,
! [X0] :
( leq(X0,host(sK4))
| leq(zero,s(X0)) ),
inference(resolution,[],[f864,f254]) ).
fof(f864,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,host(sK4)) ),
inference(forward_demodulation,[],[f855,f354]) ).
fof(f855,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(host(sK5))) ),
inference(resolution,[],[f832,f501]) ).
fof(f939,plain,
! [X0] :
( leq(X0,host(sK5))
| leq(zero,s(X0)) ),
inference(resolution,[],[f856,f254]) ).
fof(f856,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,host(sK5)) ),
inference(resolution,[],[f832,f456]) ).
fof(f930,plain,
! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 ),
inference(superposition,[],[f310,f234]) ).
fof(f929,plain,
! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ),
inference(superposition,[],[f289,f234]) ).
fof(f928,plain,
! [X0] :
( sP1(last(X0),init(X0))
| ~ ordered(X0)
| q_nil = X0 ),
inference(superposition,[],[f288,f234]) ).
fof(f927,plain,
! [X0] :
( ordered(init(X0))
| ~ ordered(X0)
| q_nil = X0 ),
inference(superposition,[],[f287,f234]) ).
fof(f234,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,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(f920,plain,
! [X0] :
( leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f918,f303]) ).
fof(f918,plain,
leq(zero,s(s(s(nbr_proc)))),
inference(resolution,[],[f907,f254]) ).
fof(f919,plain,
leq(zero,s(s(s(nbr_proc)))),
inference(resolution,[],[f907,f254]) ).
fof(f907,plain,
~ leq(s(s(s(nbr_proc))),zero),
inference(resolution,[],[f835,f408]) ).
fof(f916,plain,
! [X0] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(X0,zero) ),
inference(resolution,[],[f914,f303]) ).
fof(f914,plain,
leq(zero,s(s(nbr_proc))),
inference(resolution,[],[f906,f254]) ).
fof(f915,plain,
leq(zero,s(s(nbr_proc))),
inference(resolution,[],[f906,f254]) ).
fof(f906,plain,
~ leq(s(s(nbr_proc)),zero),
inference(resolution,[],[f835,f404]) ).
fof(f905,plain,
~ leq(s(nbr_proc),zero),
inference(resolution,[],[f835,f225]) ).
fof(f911,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,nbr_proc) ),
inference(resolution,[],[f835,f456]) ).
fof(f910,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(nbr_proc)) ),
inference(resolution,[],[f835,f501]) ).
fof(f909,plain,
~ leq(s(s(s(s(s(nbr_proc))))),zero),
inference(resolution,[],[f835,f434]) ).
fof(f908,plain,
~ leq(s(s(s(s(nbr_proc)))),zero),
inference(resolution,[],[f835,f416]) ).
fof(f904,plain,
! [X0] :
( ~ leq(X0,zero)
| nbr_proc = X0
| ~ leq(nbr_proc,X0) ),
inference(resolution,[],[f835,f293]) ).
fof(f903,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(X1,nbr_proc)
| ~ leq(X1,X0) ),
inference(resolution,[],[f835,f303]) ).
fof(f835,plain,
! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ),
inference(resolution,[],[f303,f491]) ).
fof(f901,plain,
! [X0] :
( leq(X0,s(s(s(host(sK4)))))
| ~ leq(X0,zero) ),
inference(resolution,[],[f883,f303]) ).
fof(f883,plain,
leq(zero,s(s(s(host(sK4))))),
inference(resolution,[],[f862,f254]) ).
fof(f893,plain,
! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 ),
inference(superposition,[],[f307,f233]) ).
fof(f892,plain,
! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ),
inference(superposition,[],[f280,f233]) ).
fof(f891,plain,
! [X0] :
( sP0(head(X0),tail(X0))
| ~ ordered(X0)
| q_nil = X0 ),
inference(superposition,[],[f279,f233]) ).
fof(f890,plain,
! [X0] :
( ordered(tail(X0))
| ~ ordered(X0)
| q_nil = X0 ),
inference(superposition,[],[f278,f233]) ).
fof(f233,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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(f884,plain,
leq(zero,s(s(s(host(sK4))))),
inference(resolution,[],[f862,f254]) ).
fof(f862,plain,
~ leq(s(s(s(host(sK4)))),zero),
inference(forward_demodulation,[],[f853,f354]) ).
fof(f853,plain,
~ leq(s(s(s(s(host(sK5))))),zero),
inference(resolution,[],[f832,f416]) ).
fof(f881,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,host(sK4)) ),
inference(resolution,[],[f833,f456]) ).
fof(f880,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f833,f501]) ).
fof(f879,plain,
~ leq(s(s(s(s(s(host(sK4)))))),zero),
inference(resolution,[],[f833,f434]) ).
fof(f878,plain,
~ leq(s(s(s(s(host(sK4))))),zero),
inference(resolution,[],[f833,f416]) ).
fof(f877,plain,
~ leq(s(s(s(host(sK4)))),zero),
inference(resolution,[],[f833,f408]) ).
fof(f874,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,host(sK5)) ),
inference(resolution,[],[f833,f464]) ).
fof(f872,plain,
! [X0] :
( ~ leq(X0,zero)
| host(sK4) = X0
| ~ leq(host(sK4),X0) ),
inference(resolution,[],[f833,f293]) ).
fof(f871,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(X1,host(sK4))
| ~ leq(X1,X0) ),
inference(resolution,[],[f833,f303]) ).
fof(f833,plain,
! [X0] :
( leq(X0,host(sK4))
| ~ leq(X0,zero) ),
inference(resolution,[],[f303,f481]) ).
fof(f867,plain,
leq(zero,s(s(host(sK4)))),
inference(resolution,[],[f844,f254]) ).
fof(f868,plain,
leq(zero,s(s(host(sK4)))),
inference(resolution,[],[f844,f254]) ).
fof(f844,plain,
~ leq(s(s(host(sK4))),zero),
inference(resolution,[],[f832,f417]) ).
fof(f843,plain,
~ leq(s(host(sK4)),zero),
inference(resolution,[],[f832,f409]) ).
fof(f863,plain,
~ leq(s(s(s(s(host(sK4))))),zero),
inference(forward_demodulation,[],[f854,f354]) ).
fof(f854,plain,
~ leq(s(s(s(s(s(host(sK5)))))),zero),
inference(resolution,[],[f832,f434]) ).
fof(f861,plain,
~ leq(s(s(host(sK4))),zero),
inference(forward_demodulation,[],[f852,f354]) ).
fof(f852,plain,
~ leq(s(s(s(host(sK5)))),zero),
inference(resolution,[],[f832,f408]) ).
fof(f860,plain,
~ leq(s(host(sK4)),zero),
inference(forward_demodulation,[],[f851,f354]) ).
fof(f851,plain,
~ leq(s(s(host(sK5))),zero),
inference(resolution,[],[f832,f404]) ).
fof(f849,plain,
! [X0] :
( ~ leq(s(X0),zero)
| leq(X0,host(sK4)) ),
inference(resolution,[],[f832,f601]) ).
fof(f845,plain,
~ leq(s(s(s(host(sK4)))),zero),
inference(resolution,[],[f832,f435]) ).
fof(f840,plain,
! [X0] :
( ~ leq(X0,zero)
| host(sK5) = X0
| ~ leq(host(sK5),X0) ),
inference(resolution,[],[f832,f293]) ).
fof(f838,plain,
! [X0] :
( ~ leq(X0,zero)
| leq(X0,host(sK4)) ),
inference(resolution,[],[f832,f405]) ).
fof(f832,plain,
! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,zero) ),
inference(resolution,[],[f303,f475]) ).
fof(f837,plain,
! [X0,X1] :
( leq(X0,s(host(X1)))
| ~ leq(X0,zero) ),
inference(resolution,[],[f303,f571]) ).
fof(f836,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,zero) ),
inference(resolution,[],[f303,f570]) ).
fof(f831,plain,
! [X0,X1] :
( leq(X0,host(sK4))
| ~ leq(X0,s(X1))
| ~ leq(X1,host(sK5)) ),
inference(resolution,[],[f303,f447]) ).
fof(f830,plain,
! [X0,X1] :
( leq(X0,host(sK4))
| ~ leq(X0,s(X1))
| leq(host(sK5),X1) ),
inference(resolution,[],[f303,f471]) ).
fof(f829,plain,
! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) ),
inference(resolution,[],[f303,f270]) ).
fof(f828,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| leq(X1,X2) ),
inference(resolution,[],[f303,f461]) ).
fof(f824,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,host(sK4))
| ~ leq(host(sK5),X1) ),
inference(resolution,[],[f303,f446]) ).
fof(f823,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,host(sK4))
| leq(X1,host(sK5)) ),
inference(resolution,[],[f303,f478]) ).
fof(f822,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,host(sK5))
| leq(X1,host(sK5)) ),
inference(resolution,[],[f303,f477]) ).
fof(f821,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,host(sK5))
| leq(X1,host(sK4)) ),
inference(resolution,[],[f303,f499]) ).
fof(f820,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,host(sK5))
| ~ leq(host(sK4),X1) ),
inference(resolution,[],[f303,f586]) ).
fof(f819,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,host(sK5))
| leq(X1,s(host(sK4))) ),
inference(resolution,[],[f303,f579]) ).
fof(f818,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,host(sK5))
| leq(X1,host(sK4)) ),
inference(resolution,[],[f303,f619]) ).
fof(f817,plain,
! [X0] :
( leq(X0,s(s(s(s(s(host(sK4)))))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f303,f596]) ).
fof(f816,plain,
! [X0] :
( leq(X0,s(s(s(s(host(sK4))))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f303,f433]) ).
fof(f815,plain,
! [X0] :
( leq(X0,s(s(s(host(sK4)))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f303,f427]) ).
fof(f814,plain,
! [X0] :
( leq(X0,s(s(host(sK4))))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f303,f418]) ).
fof(f812,plain,
! [X0,X1] :
( leq(X0,host(sK4))
| ~ leq(X0,host(X1))
| ~ elem(m_Ldr(X1),sK2) ),
inference(resolution,[],[f303,f536]) ).
fof(f810,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(X0,host(sK5))
| leq(X1,host(sK4)) ),
inference(resolution,[],[f303,f422]) ).
fof(f809,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(X0,host(sK5))
| ~ leq(host(sK4),X1) ),
inference(resolution,[],[f303,f467]) ).
fof(f808,plain,
! [X2,X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X2)
| leq(X1,X2) ),
inference(resolution,[],[f303,f572]) ).
fof(f807,plain,
! [X2,X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ),
inference(resolution,[],[f303,f573]) ).
fof(f806,plain,
! [X0,X1] :
( leq(X0,s(s(s(s(s(X1))))))
| ~ leq(X0,X1) ),
inference(resolution,[],[f303,f518]) ).
fof(f805,plain,
! [X0,X1] :
( leq(X0,s(s(s(s(X1)))))
| ~ leq(X0,X1) ),
inference(resolution,[],[f303,f431]) ).
fof(f804,plain,
! [X0,X1] :
( leq(X0,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(resolution,[],[f303,f414]) ).
fof(f802,plain,
! [X0,X1] :
( leq(X0,s(host(sK4)))
| ~ leq(X0,X1)
| leq(host(sK5),X1) ),
inference(resolution,[],[f303,f574]) ).
fof(f801,plain,
! [X0,X1] :
( leq(X0,s(host(sK4)))
| ~ leq(X0,X1)
| ~ leq(X1,host(sK5)) ),
inference(resolution,[],[f303,f575]) ).
fof(f800,plain,
! [X0,X1] :
( leq(X0,s(host(sK4)))
| ~ leq(X0,X1)
| leq(host(sK5),s(X1)) ),
inference(resolution,[],[f303,f579]) ).
fof(f799,plain,
! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) ),
inference(resolution,[],[f303,f292]) ).
fof(f798,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| leq(X1,X2) ),
inference(resolution,[],[f303,f497]) ).
fof(f797,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| leq(X1,s(X2)) ),
inference(resolution,[],[f303,f519]) ).
fof(f796,plain,
! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| leq(X1,s(X2)) ),
inference(resolution,[],[f303,f519]) ).
fof(f794,plain,
! [X0,X1] :
( leq(X0,host(sK4))
| ~ leq(X0,X1)
| leq(host(sK5),X1) ),
inference(resolution,[],[f303,f422]) ).
fof(f793,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ),
inference(resolution,[],[f303,f254]) ).
fof(f792,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) ),
inference(resolution,[],[f303,f254]) ).
fof(f731,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero)) ),
inference(resolution,[],[f293,f221]) ).
fof(f730,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f293,f226]) ).
fof(f737,plain,
( zero = host(sK5)
| ~ leq(host(sK5),zero) ),
inference(resolution,[],[f293,f475]) ).
fof(f740,plain,
( zero = nbr_proc
| ~ leq(nbr_proc,zero) ),
inference(resolution,[],[f293,f491]) ).
fof(f742,plain,
! [X0] :
( zero = s(host(X0))
| ~ leq(s(host(X0)),zero) ),
inference(resolution,[],[f293,f571]) ).
fof(f741,plain,
( zero = s(nbr_proc)
| ~ leq(s(nbr_proc),zero) ),
inference(resolution,[],[f293,f570]) ).
fof(f739,plain,
! [X0] :
( host(X0) = zero
| ~ leq(host(X0),zero) ),
inference(resolution,[],[f293,f492]) ).
fof(f738,plain,
( zero = host(sK4)
| ~ leq(host(sK4),zero) ),
inference(resolution,[],[f293,f481]) ).
fof(f736,plain,
! [X0] :
( s(X0) = host(sK4)
| ~ leq(host(sK4),s(X0))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f293,f447]) ).
fof(f734,plain,
! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ),
inference(resolution,[],[f293,f270]) ).
fof(f732,plain,
! [X0] :
( ~ leq(host(X0),s(zero))
| host(X0) = s(zero) ),
inference(resolution,[],[f293,f229]) ).
fof(f729,plain,
! [X0] :
( s(X0) = host(sK4)
| ~ leq(s(X0),host(sK4))
| ~ leq(host(sK5),X0) ),
inference(resolution,[],[f293,f446]) ).
fof(f725,plain,
! [X0] :
( s(X0) = host(sK5)
| ~ leq(s(X0),host(sK5))
| ~ leq(host(sK4),X0) ),
inference(resolution,[],[f293,f586]) ).
fof(f723,plain,
! [X0] :
( host(sK5) = s(s(X0))
| ~ leq(s(s(X0)),host(sK5))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f293,f619]) ).
fof(f714,plain,
! [X0] :
( host(sK5) = X0
| ~ leq(X0,host(sK5))
| ~ leq(host(sK4),X0) ),
inference(resolution,[],[f293,f467]) ).
fof(f713,plain,
! [X0,X1] :
( s(s(X0)) = X1
| ~ leq(s(s(X0)),X1)
| leq(X0,X1) ),
inference(resolution,[],[f293,f572]) ).
fof(f712,plain,
! [X0,X1] :
( s(s(X0)) = X1
| ~ leq(s(s(X0)),X1)
| ~ leq(X1,X0) ),
inference(resolution,[],[f293,f573]) ).
fof(f707,plain,
! [X0] :
( s(host(sK4)) = X0
| ~ leq(s(host(sK4)),X0)
| leq(host(sK5),X0) ),
inference(resolution,[],[f293,f574]) ).
fof(f706,plain,
! [X0] :
( s(host(sK4)) = X0
| ~ leq(s(host(sK4)),X0)
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f293,f575]) ).
fof(f705,plain,
! [X0] :
( s(host(sK4)) = X0
| ~ leq(s(host(sK4)),X0)
| leq(host(sK5),s(X0)) ),
inference(resolution,[],[f293,f579]) ).
fof(f704,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) ),
inference(resolution,[],[f293,f292]) ).
fof(f694,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f518,f456]) ).
fof(f693,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f518,f501]) ).
fof(f518,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f497,f416]) ).
fof(f689,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f434,f572]) ).
fof(f688,plain,
! [X0] : ~ leq(s(s(s(s(s(s(s(X0))))))),X0),
inference(resolution,[],[f434,f573]) ).
fof(f687,plain,
leq(host(sK5),s(s(s(s(s(s(host(sK4)))))))),
inference(resolution,[],[f434,f574]) ).
fof(f686,plain,
~ leq(s(s(s(s(s(s(host(sK4))))))),host(sK5)),
inference(resolution,[],[f434,f575]) ).
fof(f685,plain,
leq(host(sK5),s(s(s(s(s(s(s(host(sK4))))))))),
inference(resolution,[],[f434,f579]) ).
fof(f684,plain,
! [X0] : ~ leq(s(s(s(s(s(s(X0)))))),X0),
inference(resolution,[],[f434,f292]) ).
fof(f683,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f434,f497]) ).
fof(f682,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f434,f519]) ).
fof(f681,plain,
! [X0] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f434,f519]) ).
fof(f679,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f434,f254]) ).
fof(f678,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f434,f254]) ).
fof(f674,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f434,f461]) ).
fof(f434,plain,
! [X0] : ~ leq(s(s(s(s(s(X0))))),X0),
inference(resolution,[],[f416,f292]) ).
fof(f672,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(s(X1))) ),
inference(resolution,[],[f573,f456]) ).
fof(f671,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(s(s(X1)))) ),
inference(resolution,[],[f573,f501]) ).
fof(f670,plain,
! [X0] : ~ leq(s(s(s(s(s(s(X0)))))),X0),
inference(resolution,[],[f573,f416]) ).
fof(f669,plain,
! [X0] : ~ leq(s(s(s(s(s(X0))))),X0),
inference(resolution,[],[f573,f408]) ).
fof(f573,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X1) ),
inference(resolution,[],[f501,f270]) ).
fof(f663,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(s(X0))) ),
inference(resolution,[],[f572,f456]) ).
fof(f662,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(s(s(X0)))) ),
inference(resolution,[],[f572,f501]) ).
fof(f661,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f572,f416]) ).
fof(f660,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f572,f408]) ).
fof(f572,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f501,f461]) ).
fof(f289,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f172]) ).
fof(f172,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(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(f649,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(X0)) ),
inference(resolution,[],[f519,f456]) ).
fof(f648,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(s(X0))) ),
inference(resolution,[],[f519,f501]) ).
fof(f647,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f519,f416]) ).
fof(f646,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f519,f408]) ).
fof(f643,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f519,f271]) ).
fof(f641,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(X0)) ),
inference(resolution,[],[f519,f456]) ).
fof(f640,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(s(X0))) ),
inference(resolution,[],[f519,f501]) ).
fof(f639,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f519,f416]) ).
fof(f638,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f519,f408]) ).
fof(f635,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,X0) ),
inference(resolution,[],[f519,f271]) ).
fof(f519,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f497,f456]) ).
fof(f619,plain,
! [X0] :
( leq(host(sK5),s(s(X0)))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f579,f271]) ).
fof(f607,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f575,f456]) ).
fof(f605,plain,
~ leq(s(s(s(s(s(host(sK4)))))),host(sK5)),
inference(resolution,[],[f575,f416]) ).
fof(f596,plain,
leq(host(sK5),s(s(s(s(s(host(sK4))))))),
inference(resolution,[],[f574,f416]) ).
fof(f625,plain,
! [X0] :
( leq(host(sK5),s(s(X0)))
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f579,f456]) ).
fof(f624,plain,
! [X0] :
( leq(host(sK5),s(s(X0)))
| leq(X0,s(s(host(sK4)))) ),
inference(resolution,[],[f579,f501]) ).
fof(f623,plain,
leq(host(sK5),s(s(s(s(s(s(host(sK4)))))))),
inference(resolution,[],[f579,f416]) ).
fof(f622,plain,
leq(host(sK5),s(s(s(s(s(host(sK4))))))),
inference(resolution,[],[f579,f408]) ).
fof(f579,plain,
! [X0] :
( leq(X0,s(host(sK4)))
| leq(host(sK5),s(X0)) ),
inference(resolution,[],[f501,f422]) ).
fof(f604,plain,
~ leq(s(s(s(s(host(sK4))))),host(sK5)),
inference(resolution,[],[f575,f408]) ).
fof(f601,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f575,f271]) ).
fof(f586,plain,
! [X0] :
( leq(host(sK5),s(X0))
| ~ leq(host(sK4),X0) ),
inference(superposition,[],[f501,f354]) ).
fof(f280,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f166]) ).
fof(f166,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(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(f606,plain,
! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(host(sK4)))) ),
inference(resolution,[],[f575,f501]) ).
fof(f575,plain,
! [X0] :
( leq(X0,s(host(sK4)))
| ~ leq(X0,host(sK5)) ),
inference(resolution,[],[f501,f447]) ).
fof(f598,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,s(host(sK4))) ),
inference(resolution,[],[f574,f456]) ).
fof(f597,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,s(s(host(sK4)))) ),
inference(resolution,[],[f574,f501]) ).
fof(f574,plain,
! [X0] :
( leq(X0,s(host(sK4)))
| leq(host(sK5),X0) ),
inference(resolution,[],[f501,f471]) ).
fof(f571,plain,
! [X0] : leq(zero,s(host(X0))),
inference(resolution,[],[f501,f229]) ).
fof(f570,plain,
leq(zero,s(nbr_proc)),
inference(resolution,[],[f501,f221]) ).
fof(f585,plain,
! [X0] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f501,f431]) ).
fof(f584,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f501,f414]) ).
fof(f582,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(resolution,[],[f501,f292]) ).
fof(f581,plain,
! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,s(X0)) ),
inference(resolution,[],[f501,f497]) ).
fof(f578,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f501,f254]) ).
fof(f577,plain,
! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(X0)) ),
inference(resolution,[],[f501,f254]) ).
fof(f569,plain,
~ elem(m_Down(sK6),sK2),
inference(trivial_inequality_removal,[],[f566]) ).
fof(f566,plain,
( host(sK4) != host(sK4)
| ~ elem(m_Down(sK6),sK2) ),
inference(superposition,[],[f557,f203]) ).
fof(f568,plain,
~ elem(m_Down(sK4),sK2),
inference(equality_resolution,[],[f557]) ).
fof(f557,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),sK2) ),
inference(resolution,[],[f183,f525]) ).
fof(f564,plain,
nbr_proc != host(sK8),
inference(resolution,[],[f561,f336]) ).
fof(f561,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != nbr_proc ),
inference(forward_demodulation,[],[f558,f209]) ).
fof(f558,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK9) ),
inference(superposition,[],[f183,f209]) ).
fof(f563,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(nbr_proc)) ),
inference(forward_demodulation,[],[f560,f332]) ).
fof(f560,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != host(sK7) ),
inference(superposition,[],[f183,f332]) ).
fof(f183,plain,
! [X34,X33] :
( ~ elem(m_Down(X34),queue(host(X33)))
| host(X33) != host(X34) ),
inference(cnf_transformation,[],[f151]) ).
fof(f536,plain,
! [X0] :
( leq(host(X0),host(sK4))
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f527,f254]) ).
fof(f543,plain,
~ elem(m_Ldr(sK7),sK2),
inference(subsumption_resolution,[],[f540,f226]) ).
fof(f540,plain,
( ~ leq(host(sK4),nbr_proc)
| ~ elem(m_Ldr(sK7),sK2) ),
inference(superposition,[],[f527,f332]) ).
fof(f542,plain,
~ elem(m_Ldr(sK6),sK2),
inference(subsumption_resolution,[],[f539,f224]) ).
fof(f539,plain,
( ~ leq(host(sK4),host(sK4))
| ~ elem(m_Ldr(sK6),sK2) ),
inference(superposition,[],[f527,f203]) ).
fof(f541,plain,
~ elem(m_Ldr(sK9),sK2),
inference(subsumption_resolution,[],[f538,f226]) ).
fof(f538,plain,
( ~ leq(host(sK4),nbr_proc)
| ~ elem(m_Ldr(sK9),sK2) ),
inference(superposition,[],[f527,f209]) ).
fof(f535,plain,
~ elem(m_Ldr(sK4),sK2),
inference(resolution,[],[f527,f224]) ).
fof(f537,plain,
! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| leq(host(X0),host(sK4)) ),
inference(resolution,[],[f527,f254]) ).
fof(f527,plain,
! [X0] :
( ~ leq(host(sK4),host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f182,f525]) ).
fof(f531,plain,
! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ),
inference(forward_demodulation,[],[f528,f209]) ).
fof(f528,plain,
! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(host(sK9),host(X0)) ),
inference(superposition,[],[f182,f209]) ).
fof(f533,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| ~ elem(m_Ldr(X0),queue(nbr_proc)) ),
inference(forward_demodulation,[],[f530,f332]) ).
fof(f530,plain,
! [X0] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(host(sK7),host(X0)) ),
inference(superposition,[],[f182,f332]) ).
fof(f182,plain,
! [X36,X35] :
( ~ elem(m_Ldr(X36),queue(host(X35)))
| ~ leq(host(X35),host(X36)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f310,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f522,plain,
! [X2,X0,X1] :
( sP1(m_Ack(X1,X2),X0)
| ~ ordered(X0) ),
inference(resolution,[],[f302,f288]) ).
fof(f302,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(f282,plain,
! [X0,X1] :
( elem(sK13(X0,X1),X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f499,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,host(sK4)) ),
inference(resolution,[],[f456,f422]) ).
fof(f492,plain,
! [X0] : leq(zero,host(X0)),
inference(resolution,[],[f456,f229]) ).
fof(f273,plain,
! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f504,plain,
! [X0] : leq(X0,s(s(s(s(s(X0)))))),
inference(resolution,[],[f456,f431]) ).
fof(f498,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ),
inference(resolution,[],[f456,f254]) ).
fof(f477,plain,
! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,host(sK5)) ),
inference(resolution,[],[f464,f422]) ).
fof(f478,plain,
! [X0] :
( leq(host(sK4),s(X0))
| leq(X0,host(sK5)) ),
inference(resolution,[],[f464,f254]) ).
fof(f481,plain,
leq(zero,host(sK4)),
inference(resolution,[],[f475,f405]) ).
fof(f475,plain,
leq(zero,host(sK5)),
inference(resolution,[],[f464,f229]) ).
fof(f479,plain,
! [X0] :
( leq(X0,host(sK5))
| leq(host(sK4),s(X0)) ),
inference(resolution,[],[f464,f254]) ).
fof(f464,plain,
! [X0] :
( ~ leq(s(X0),host(sK4))
| leq(X0,host(sK5)) ),
inference(superposition,[],[f271,f354]) ).
fof(f472,plain,
! [X0] :
( leq(host(sK5),X0)
| leq(s(X0),host(sK4)) ),
inference(resolution,[],[f463,f254]) ).
fof(f462,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ),
inference(resolution,[],[f271,f254]) ).
fof(f446,plain,
! [X0] :
( leq(host(sK4),s(X0))
| ~ leq(host(sK5),X0) ),
inference(superposition,[],[f270,f354]) ).
fof(f268,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,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(f266,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,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(f264,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,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(f431,plain,
! [X0] : leq(X0,s(s(s(s(X0))))),
inference(resolution,[],[f416,f254]) ).
fof(f433,plain,
leq(host(sK5),s(s(s(s(host(sK4)))))),
inference(resolution,[],[f416,f422]) ).
fof(f435,plain,
~ leq(s(s(s(host(sK4)))),host(sK5)),
inference(superposition,[],[f416,f354]) ).
fof(f432,plain,
! [X0] : leq(X0,s(s(s(s(X0))))),
inference(resolution,[],[f416,f254]) ).
fof(f416,plain,
! [X0] : ~ leq(s(s(s(s(X0)))),X0),
inference(resolution,[],[f408,f292]) ).
fof(f262,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,[],[f103]) ).
fof(f103,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(f427,plain,
leq(host(sK5),s(s(s(host(sK4))))),
inference(resolution,[],[f422,f408]) ).
fof(f422,plain,
! [X0] :
( leq(X0,host(sK4))
| leq(host(sK5),X0) ),
inference(resolution,[],[f405,f254]) ).
fof(f423,plain,
! [X0] :
( leq(X0,host(sK4))
| leq(host(sK5),X0) ),
inference(resolution,[],[f405,f254]) ).
fof(f405,plain,
! [X0] :
( ~ leq(X0,host(sK5))
| leq(X0,host(sK4)) ),
inference(superposition,[],[f292,f354]) ).
fof(f414,plain,
! [X0] : leq(X0,s(s(s(X0)))),
inference(resolution,[],[f408,f254]) ).
fof(f418,plain,
leq(host(sK5),s(s(host(sK4)))),
inference(resolution,[],[f417,f254]) ).
fof(f419,plain,
leq(host(sK5),s(s(host(sK4)))),
inference(resolution,[],[f417,f254]) ).
fof(f417,plain,
~ leq(s(s(host(sK4))),host(sK5)),
inference(superposition,[],[f408,f354]) ).
fof(f415,plain,
! [X0] : leq(X0,s(s(s(X0)))),
inference(resolution,[],[f408,f254]) ).
fof(f408,plain,
! [X0] : ~ leq(s(s(s(X0))),X0),
inference(resolution,[],[f404,f292]) ).
fof(f260,plain,
! [X0,X1] :
( m_NormQ(X1) != m_NormQ(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X1) = m_NormQ(X0) )
& ( m_NormQ(X1) != m_NormQ(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X1) != m_NormQ(X0) ),
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(f406,plain,
! [X0] : leq(X0,s(s(X0))),
inference(resolution,[],[f404,f254]) ).
fof(f410,plain,
leq(host(sK5),s(host(sK4))),
inference(resolution,[],[f409,f254]) ).
fof(f411,plain,
leq(host(sK5),s(host(sK4))),
inference(resolution,[],[f409,f254]) ).
fof(f409,plain,
~ leq(s(host(sK4)),host(sK5)),
inference(superposition,[],[f404,f354]) ).
fof(f407,plain,
! [X0] : leq(X0,s(s(X0))),
inference(resolution,[],[f404,f254]) ).
fof(f401,plain,
! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ),
inference(resolution,[],[f288,f255]) ).
fof(f400,plain,
! [X0] : sP1(X0,q_nil),
inference(resolution,[],[f288,f232]) ).
fof(f403,plain,
! [X0] : sP1(X0,q_nil),
inference(subsumption_resolution,[],[f402,f231]) ).
fof(f402,plain,
! [X0] :
( ~ ordered(cons(X0,q_nil))
| sP1(X0,q_nil) ),
inference(superposition,[],[f288,f230]) ).
fof(f288,plain,
! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f398,plain,
! [X0] : sP0(X0,q_nil),
inference(resolution,[],[f279,f231]) ).
fof(f284,plain,
! [X0,X1] :
( pidElem(sK13(X0,X1))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f279,plain,
! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f275,plain,
! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f255,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(f393,plain,
! [X0] : q_nil = init(cons(X0,q_nil)),
inference(superposition,[],[f252,f230]) ).
fof(f392,plain,
! [X0] : last(cons(X0,q_nil)) = X0,
inference(superposition,[],[f253,f230]) ).
fof(f230,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(f364,plain,
m_Ack(sK3,sK5) = head(queue(host(sK4))),
inference(superposition,[],[f250,f196]) ).
fof(f365,plain,
elem(m_Ack(sK3,sK5),queue(host(sK4))),
inference(superposition,[],[f324,f196]) ).
fof(f363,plain,
sK2 = tail(queue(host(sK4))),
inference(superposition,[],[f251,f196]) ).
fof(f330,plain,
! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(nbr_proc))
| nbr_proc != host(X32) ),
inference(inner_rewriting,[],[f184]) ).
fof(f362,plain,
( ~ ordered(queue(host(sK4)))
| ordered(sK2) ),
inference(superposition,[],[f278,f196]) ).
fof(f366,plain,
q_nil != queue(host(sK4)),
inference(superposition,[],[f248,f196]) ).
fof(f360,plain,
nbr_proc != s(host(sK5)),
inference(forward_demodulation,[],[f359,f200]) ).
fof(f359,plain,
nbr_proc != s(index(pendack,host(sK4))),
inference(forward_demodulation,[],[f204,f209]) ).
fof(f355,plain,
leq(host(sK5),host(sK4)),
inference(superposition,[],[f342,f354]) ).
fof(f358,plain,
leq(host(sK5),host(sK4)),
inference(resolution,[],[f356,f254]) ).
fof(f357,plain,
leq(host(sK5),host(sK4)),
inference(resolution,[],[f356,f254]) ).
fof(f356,plain,
~ leq(host(sK4),host(sK5)),
inference(superposition,[],[f225,f354]) ).
fof(f300,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(f299,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(f298,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(f297,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(f296,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(f287,plain,
! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f278,plain,
! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f342,plain,
! [X0] : leq(X0,s(X0)),
inference(resolution,[],[f254,f225]) ).
fof(f345,plain,
! [X0] : leq(X0,s(X0)),
inference(resolution,[],[f254,f225]) ).
fof(f253,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f98]) ).
fof(f98,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(f252,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f97]) ).
fof(f97,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(f251,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(f250,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(f341,plain,
~ leq(nbr_proc,host(sK5)),
inference(superposition,[],[f201,f200]) ).
fof(f325,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f309]) ).
fof(f309,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f324,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f283,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f274,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f249,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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(f248,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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(f247,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(f246,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,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(f245,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,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(f243,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(f242,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(f241,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(f240,plain,
! [X0,X1] : m_Ldr(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NotNorm(X1),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f239,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,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(f238,plain,
! [X0,X1] : m_NormQ(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NormQ(X1) != m_Ldr(X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f228,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(f227,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(f201,plain,
~ leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f151]) ).
fof(f232,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(f231,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(cnf_transformation,[],[f79]) ).
fof(f331,plain,
nbr_proc != host(sK4),
inference(forward_demodulation,[],[f205,f209]) ).
fof(f314,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK11(X0)) = X0
| m_Halt(sK11(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f153,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,[],[f152]) ).
fof(f152,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(f313,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f224,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(f223,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(f222,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(f220,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f219,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(f218,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f217,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f216,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f215,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f214,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f211,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f213,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f304,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(f323,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f294]) ).
fof(f294,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f177]) ).
fof(f322,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f177]) ).
fof(f321,plain,
! [X1] : leq(s(X1),s(X1)),
inference(equality_resolution,[],[f291]) ).
fof(f291,plain,
! [X0,X1] :
( leq(X0,s(X1))
| s(X1) != X0 ),
inference(cnf_transformation,[],[f175]) ).
fof(f281,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,[],[f171]) ).
fof(f285,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f272,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,[],[f165]) ).
fof(f276,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f235,plain,
! [X0] :
( ~ pidElem(X0)
| m_Halt(sK11(X0)) = X0
| m_Down(sK11(X0)) = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f184,plain,
! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) ),
inference(cnf_transformation,[],[f151]) ).
fof(f188,plain,
! [X26,X27,X25] :
( host(X26) != index(ldr,host(X27))
| ~ elem(m_Down(X25),queue(host(X26)))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) ),
inference(cnf_transformation,[],[f151]) ).
fof(f189,plain,
! [X24,X22,X23] :
( host(X23) != host(index(elid,host(X24)))
| ~ elem(m_Down(X22),queue(host(X23)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) ),
inference(cnf_transformation,[],[f151]) ).
fof(f190,plain,
! [X21,X18,X19,X20] :
( ~ elem(m_Down(X21),queue(host(X18)))
| ~ elem(m_Down(X19),queue(host(X20)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) ),
inference(cnf_transformation,[],[f151]) ).
fof(f191,plain,
! [X16,X14,X17,X15] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) ),
inference(cnf_transformation,[],[f151]) ).
fof(f204,plain,
s(index(pendack,host(sK4))) != host(sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f205,plain,
host(sK4) != host(sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f2088,plain,
( spl14_12
| ~ spl14_18 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2087,plain,
( $false
| spl14_12
| ~ spl14_18 ),
inference(global_subsumption,[],[f210,f208,f207,f206,f205,f204,f202,f195,f326,f194,f327,f193,f328,f192,f329,f191,f190,f189,f188,f184,f235,f276,f272,f285,f281,f321,f322,f323,f304,f213,f197,f211,f214,f215,f216,f217,f218,f219,f220,f222,f223,f224,f313,f314,f209,f203,f331,f332,f221,f225,f226,f231,f232,f198,f199,f201,f336,f337,f227,f228,f229,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f274,f283,f324,f325,f200,f341,f212,f250,f251,f252,f253,f254,f345,f342,f278,f287,f296,f297,f298,f299,f300,f354,f356,f357,f358,f355,f360,f196,f366,f362,f330,f363,f365,f364,f230,f392,f393,f255,f275,f279,f284,f398,f288,f403,f400,f401,f292,f404,f407,f409,f411,f410,f406,f260,f408,f415,f417,f419,f418,f414,f405,f423,f422,f427,f262,f416,f432,f435,f433,f431,f264,f266,f268,f270,f446,f447,f271,f462,f463,f472,f467,f464,f479,f475,f481,f471,f478,f477,f456,f498,f504,f273,f491,f492,f499,f497,f282,f302,f522,f307,f525,f310,f182,f533,f531,f527,f537,f535,f541,f542,f543,f536,f461,f183,f563,f561,f564,f557,f568,f569,f501,f577,f578,f581,f582,f584,f585,f570,f571,f574,f597,f598,f575,f606,f280,f586,f601,f604,f579,f622,f623,f624,f625,f596,f605,f607,f619,f519,f635,f638,f639,f640,f641,f643,f646,f647,f648,f649,f289,f572,f660,f661,f662,f663,f573,f669,f670,f671,f672,f434,f674,f678,f679,f681,f682,f683,f684,f685,f686,f687,f688,f689,f518,f693,f694,f293,f704,f705,f706,f707,f712,f713,f714,f723,f725,f729,f732,f734,f736,f738,f739,f741,f742,f740,f737,f730,f731,f303,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f812,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f827,f828,f829,f830,f831,f836,f837,f832,f838,f840,f845,f849,f860,f861,f863,f843,f844,f868,f867,f833,f871,f872,f874,f877,f878,f879,f880,f881,f862,f884,f233,f890,f891,f892,f893,f883,f901,f835,f903,f904,f908,f909,f910,f911,f905,f906,f915,f914,f916,f907,f919,f918,f920,f234,f927,f928,f929,f930,f856,f939,f864,f942,f846,f945,f938,f946,f947,f948,f953,f955,f956,f973,f974,f975,f967,f258,f976,f985,f941,f988,f989,f991,f994,f995,f996,f997,f998,f1000,f944,f1003,f259,f977,f979,f1006,f1008,f847,f1025,f1026,f848,f1027,f1028,f1034,f1035,f1036,f1037,f869,f1038,f1039,f1045,f1046,f1047,f1048,f277,f1049,f1050,f1051,f1052,f954,f1053,f957,f1055,f1056,f1058,f964,f1059,f1060,f1030,f286,f1065,f1066,f1067,f1068,f825,f1072,f1076,f1071,f1093,f1069,f1095,f1096,f1098,f1083,f1106,f1109,f1110,f1103,f1115,f1114,f1116,f1104,f1121,f311,f1120,f1105,f1128,f1127,f1129,f1125,f1131,f1132,f1133,f1082,f1143,f1144,f1107,f1146,f1147,f1154,f1155,f1141,f1160,f1162,f1163,f1168,f1170,f1171,f1149,f1176,f1177,f312,f1152,f1182,f1183,f1140,f1184,f1165,f1186,f1174,f1189,f1190,f185,f1192,f1200,f1194,f1195,f1201,f1197,f1180,f1202,f1203,f1204,f1153,f1209,f1210,f1156,f1214,f1215,f1213,f1218,f1217,f1220,f1221,f1227,f1228,f1229,f1230,f1231,f1123,f1234,f1235,f1241,f1242,f1243,f1244,f1169,f1245,f1172,f1247,f257,f1254,f1257,f1258,f1255,f1207,f1264,f1265,f1212,f1266,f1267,f826,f1272,f1276,f1289,f290,f1308,f1317,f1318,f1336,f1337,f1338,f1342,f1343,f1344,f1345,f1346,f1347,f1366,f1365,f1372,f1382,f1390,f1391,f1388,f1394,f1395,f1364,f1406,f1407,f1414,f1415,f1369,f1419,f1373,f1426,f1427,f1434,f1435,f1436,f1437,f1444,f1445,f1448,f1449,f1485,f1486,f1374,f1529,f1536,f1418,f1552,f1557,f1566,f1567,f1568,f1569,f1570,f1586,f1608,f1609,f1611,f1612,f1616,f1617,f1618,f1619,f1622,f1627,f1614,f1635,f1636,f1643,f1644,f1645,f301,f1647,f1648,f1650,f1651,f1652,f1653,f1654,f1655,f1657,f1658,f1447,f1661,f1662,f1403,f1666,f1667,f1673,f1674,f1675,f1676,f1615,f1680,f1681,f1687,f1688,f1689,f1690,f894,f931,f1656,f1699,f1700,f1075,f1707,f1712,f305,f1726,f1722,f1723,f1724,f1725,f1275,f1741,f1746,f1290,f1758,f1759,f1698,f834,f1765,f1766,f1787,f1788,f1789,f1790,f1784,f1785,f1806,f1805,f1813,f308,f1830,f1824,f1825,f1827,f1828,f1829,f1755,f1833,f1834,f1841,f1842,f1786,f1847,f1846,f1854,f978,f1863,f1007,f186,f1874,f1878,f1868,f1253,f1902,f1900,f839,f1906,f1907,f1915,f1916,f1917,f1918,f1924,f1925,f1926,f1928,f1929,f1930,f2009,f1973,f1974,f187,f2018,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2020,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2073,f2074,f2075,f2078,f2080,f2081,f2082,f2084]) ).
fof(f1896,plain,
( ~ spl14_22
| spl14_23 ),
inference(avatar_split_clause,[],[f1878,f1893,f1889]) ).
fof(f1889,plain,
( spl14_22
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f1893,plain,
( spl14_23
<=> sK7 = index(elid,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f1887,plain,
( ~ spl14_20
| spl14_21 ),
inference(avatar_split_clause,[],[f1874,f1884,f1880]) ).
fof(f1880,plain,
( spl14_20
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f1884,plain,
( spl14_21
<=> sK9 = index(elid,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f1867,plain,
( spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f978,f1865,f1861]) ).
fof(f1865,plain,
( spl14_19
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f1263,plain,
( ~ spl14_17
| spl14_3 ),
inference(avatar_split_clause,[],[f1255,f377,f1260]) ).
fof(f1260,plain,
( spl14_17
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f1024,plain,
( spl14_15
| spl14_16 ),
inference(avatar_split_clause,[],[f979,f1022,f1018]) ).
fof(f1018,plain,
( spl14_15
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f1022,plain,
( spl14_16
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f1016,plain,
( spl14_13
| spl14_14 ),
inference(avatar_split_clause,[],[f977,f1014,f1010]) ).
fof(f1010,plain,
( spl14_13
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f1014,plain,
( spl14_14
<=> ! [X0] : ~ elem(m_Ack(sK9,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f987,plain,
( spl14_11
| spl14_12 ),
inference(avatar_split_clause,[],[f976,f984,f981]) ).
fof(f981,plain,
( spl14_11
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f784,plain,
( ~ spl14_9
| spl14_10 ),
inference(avatar_split_clause,[],[f731,f781,f777]) ).
fof(f781,plain,
( spl14_10
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f762,plain,
( ~ spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f737,f759,f755]) ).
fof(f755,plain,
( spl14_7
<=> leq(host(sK5),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f759,plain,
( spl14_8
<=> zero = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f751,plain,
( ~ spl14_5
| spl14_6 ),
inference(avatar_split_clause,[],[f740,f748,f744]) ).
fof(f748,plain,
( spl14_6
<=> zero = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f389,plain,
~ spl14_3,
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl14_3 ),
inference(trivial_inequality_removal,[],[f383]) ).
fof(f383,plain,
( nbr_proc != nbr_proc
| ~ spl14_3 ),
inference(superposition,[],[f378,f209]) ).
fof(f378,plain,
( ! [X32] : nbr_proc != host(X32)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f387,plain,
~ spl14_3,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| ~ spl14_3 ),
inference(trivial_inequality_removal,[],[f385]) ).
fof(f385,plain,
( nbr_proc != nbr_proc
| ~ spl14_3 ),
inference(superposition,[],[f378,f332]) ).
fof(f382,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f330,f380,f377]) ).
fof(f380,plain,
( spl14_4
<=> ! [X31] : ~ elem(m_NotNorm(X31),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f375,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f362,f372,f368]) ).
fof(f368,plain,
( spl14_1
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f372,plain,
( spl14_2
<=> ordered(queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:54:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (15283)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15286)WARNING: value z3 for option sas not known
% 0.14/0.37 % (15286)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 % (15284)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (15285)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 % (15287)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (15289)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 % (15288)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 % (15290)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)
% 0.14/0.39 Detected minimum model sizes of [4]
% 0.14/0.39 Detected maximum model sizes of [max]
% 0.14/0.39 TRYING [4]
% 0.22/0.42 Detected minimum model sizes of [4]
% 0.22/0.42 Detected maximum model sizes of [max]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [5]
% 1.19/0.52 TRYING [6]
% 1.34/0.60 TRYING [5]
% 1.34/0.63 TRYING [7]
% 2.48/0.73 % (15286)First to succeed.
% 2.48/0.75 % (15286)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15283"
% 2.48/0.75 % (15286)Refutation found. Thanks to Tanya!
% 2.48/0.75 % SZS status Theorem for theBenchmark
% 2.48/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.75 % (15286)------------------------------
% 2.48/0.75 % (15286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.48/0.75 % (15286)Termination reason: Refutation
% 2.48/0.75
% 2.48/0.75 % (15286)Memory used [KB]: 7293
% 2.48/0.75 % (15286)Time elapsed: 0.376 s
% 2.48/0.75 % (15286)Instructions burned: 1142 (million)
% 2.48/0.75 % (15283)Success in time 0.38 s
%------------------------------------------------------------------------------