TSTP Solution File: SWV476+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Thu Aug 31 22:37:41 EDT 2023
% Result : Theorem 24.67s 4.20s
% Output : CNFRefutation 24.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 154 ( 59 unt; 0 def)
% Number of atoms : 1574 ( 667 equ)
% Maximal formula atoms : 254 ( 10 avg)
% Number of connectives : 2248 ( 828 ~; 709 |; 613 &)
% ( 6 <=>; 92 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 22 con; 0-2 aty)
% Number of variables : 654 ( 3 sgn; 521 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X6) != host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& elem(m_Down(X17),queue(host(X19)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X6) != host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),queue(host(X19)))
& elem(m_Down(X17),queue(host(X19)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f70,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f71,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f116,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f118,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f119,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f121,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f122,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f124,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( elec_1 = index(status,host(X12))
& elec_2 = index(status,host(X9))
& host(X12) = host(X10)
& elem(m_Down(X11),queue(host(X12)))
& leq(host(X9),host(X12))
& setIn(X9,alive)
& ! [X13] :
( ( leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) = X13
| setIn(X13,index(down,host(X12))) ) ) )
=> ~ elem(m_Ack(X9,X10),queue(host(X9))) )
& ! [X14,X15,X16] :
( ( host(X15) = host(index(elid,host(X16)))
& wait = index(status,host(X16))
& host(X14) = host(X15)
& elem(m_Down(X14),queue(host(X16)))
& setIn(X16,alive)
& host(X15) != host(X16) )
=> ~ ( host(X15) = index(ldr,host(X15))
& norm = index(status,host(X15))
& setIn(X15,alive) ) )
& ! [X17,X18,X19] :
( ( host(X18) = index(ldr,host(X19))
& norm = index(status,host(X19))
& host(X18) = host(X17)
& elem(m_Down(X17),queue(host(X19)))
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ ( host(X18) = index(ldr,host(X18))
& norm = index(status,host(X18))
& setIn(X18,alive) ) )
& ! [X20,X21,X22,X23] :
( ( host(X23) = host(X22)
& host(X20) = host(X21)
& setIn(X22,alive)
& setIn(X20,alive)
& host(X22) != host(X20) )
=> ~ ( setIn(host(X21),index(down,host(X22)))
& elem(m_Down(X23),queue(host(X20))) ) )
& ! [X24,X25,X26,X27] :
( ( host(X27) = host(X26)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X26) != host(X24) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),queue(host(X24))) ) )
& ! [X28,X29,X30] :
( ( host(X28) = host(X29)
& elem(m_Down(X29),queue(host(X30)))
& setIn(X30,alive)
& ~ leq(host(X29),host(X30)) )
=> ~ ( norm = index(status,host(X28))
& host(X28) = index(ldr,host(X28))
& setIn(X28,alive) ) )
& ! [X31,X32] :
( ( host(X32) = index(ldr,host(X32))
& norm = index(status,host(X32))
& norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31))
& setIn(X32,alive)
& setIn(X31,alive) )
=> X31 = X32 )
& ! [X33,X34,X35] :
( ( host(X35) = index(ldr,host(X35))
& norm = index(status,host(X35))
& host(X35) = host(X34)
& setIn(X35,alive) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) )
& ! [X36,X37,X38] :
( ( elec_2 = index(status,host(X38))
& host(X38) = host(X37)
& elem(m_Down(X37),queue(host(X36)))
& setIn(X38,alive)
& setIn(X36,alive) )
=> leq(index(pendack,host(X38)),host(X36)) )
& ! [X39,X40] :
( ( host(X40) = index(ldr,host(X40))
& norm = index(status,host(X40))
& setIn(X40,alive) )
=> ~ ( setIn(host(X40),index(down,host(X39)))
& setIn(X39,alive) ) )
& ! [X41,X42] :
( ( elec_2 = index(status,host(X42))
& setIn(host(X42),index(down,host(X41)))
& setIn(X42,alive)
& setIn(X41,alive) )
=> leq(index(pendack,host(X42)),host(X41)) )
& ! [X43] :
( ( setIn(X43,alive)
& ( elec_2 = index(status,host(X43))
| elec_1 = index(status,host(X43)) ) )
=> index(elid,host(X43)) = X43 )
& ! [X44,X45] :
( ( host(X44) = host(X45)
& X44 != X45 )
=> ( ~ setIn(X45,alive)
| ~ setIn(X44,alive) ) )
& ! [X46,X47] :
( elem(m_Down(X47),queue(host(X46)))
=> host(X46) != host(X47) )
& ! [X48,X49] :
( elem(m_Ldr(X49),queue(host(X48)))
=> ~ leq(host(X48),host(X49)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) )
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X50) != host(X54)
=> ( host(X2) != host(X54)
=> ( ( elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ( leq(s(zero),X55)
& ~ leq(host(X54),X55) )
=> ( host(X53) = X55
| setIn(X55,index(down,host(X54))) ) ) )
=> ~ ( host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54)
& host(X50) != host(X54) )
& host(X2) = host(X51) )
& ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(flattening,[],[f140]) ).
fof(f165,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f166,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f168,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,[],[f122]) ).
fof(f169,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,[],[f168]) ).
fof(f170,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( host(X2) = host(X5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X2) != host(X8)
& host(X4) != host(X8) )
& host(X2) = host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( host(X2) = host(X5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X2) != host(X8)
& host(X4) != host(X8) )
& host(X2) = host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) )
=> ( ? [X4] :
( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK5)
& host(X4) != host(X8) )
& host(X5) = host(sK5) )
& ( host(X4) = host(sK6)
| setIn(host(X4),index(acks,host(sK5))) ) )
& leq(nbr_proc,index(pendack,host(sK5)))
& host(sK6) = index(pendack,host(sK5))
& elec_2 = index(status,host(sK5))
& sK4 = index(elid,host(sK5))
& setIn(sK5,alive)
& queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X4] :
( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK5)
& host(X4) != host(X8) )
& host(X5) = host(sK5) )
& ( host(X4) = host(sK6)
| setIn(host(X4),index(acks,host(sK5))) ) )
=> ( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK5)
& host(X8) != host(sK7) )
& host(X5) = host(sK5) )
& ( host(sK6) = host(sK7)
| setIn(host(sK7),index(acks,host(sK5))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X5] :
( ? [X8,X7,X6] :
( host(X5) = host(sK5)
& setIn(X5,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK5)
& host(X8) != host(sK7) )
& host(X5) = host(sK5) )
=> ( ? [X8,X7,X6] :
( host(sK5) = host(sK8)
& setIn(sK8,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK5)
& host(X8) != host(sK7) )
& host(sK5) = host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X8,X7,X6] :
( host(sK5) = host(sK8)
& setIn(sK8,alive)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( host(X7) = X9
| setIn(X9,index(down,host(X8)))
| ~ leq(s(zero),X9)
| leq(host(X8),X9) )
& host(X8) != host(sK5)
& host(X8) != host(sK7) )
=> ( host(sK5) = host(sK8)
& setIn(sK8,alive)
& elec_1 = index(status,host(sK11))
& host(sK9) = s(host(sK11))
& elem(m_Down(sK10),queue(host(sK11)))
& elem(m_Down(sK9),queue(host(sK11)))
& leq(nbr_proc,s(host(sK11)))
& setIn(sK11,alive)
& ! [X9] :
( host(sK10) = X9
| setIn(X9,index(down,host(sK11)))
| ~ leq(s(zero),X9)
| leq(host(sK11),X9) )
& host(sK5) != host(sK11)
& host(sK7) != host(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X12,X13] :
( ? [X14] :
( host(X12) != X14
& ~ setIn(X14,index(down,host(X13)))
& leq(s(zero),X14)
& ~ leq(host(X13),X14) )
=> ( host(X12) != sK12(X12,X13)
& ~ setIn(sK12(X12,X13),index(down,host(X13)))
& leq(s(zero),sK12(X12,X13))
& ~ leq(host(X13),sK12(X12,X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X17,X18] :
( ? [X19] :
( host(X17) != X19
& ~ setIn(X19,index(down,host(X18)))
& leq(s(zero),X19)
& ~ leq(host(X18),X19) )
=> ( host(X17) != sK13(X17,X18)
& ~ setIn(sK13(X17,X18),index(down,host(X18)))
& leq(s(zero),sK13(X17,X18))
& ~ leq(host(X18),sK13(X17,X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( host(sK5) = host(sK8)
& setIn(sK8,alive)
& elec_1 = index(status,host(sK11))
& host(sK9) = s(host(sK11))
& elem(m_Down(sK10),queue(host(sK11)))
& elem(m_Down(sK9),queue(host(sK11)))
& leq(nbr_proc,s(host(sK11)))
& setIn(sK11,alive)
& ! [X9] :
( host(sK10) = X9
| setIn(X9,index(down,host(sK11)))
| ~ leq(s(zero),X9)
| leq(host(sK11),X9) )
& host(sK5) != host(sK11)
& host(sK7) != host(sK11)
& host(sK5) = host(sK8)
& ( host(sK6) = host(sK7)
| setIn(host(sK7),index(acks,host(sK5))) )
& leq(nbr_proc,index(pendack,host(sK5)))
& host(sK6) = index(pendack,host(sK5))
& elec_2 = index(status,host(sK5))
& sK4 = index(elid,host(sK5))
& setIn(sK5,alive)
& queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
& ! [X10,X11,X12,X13] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_1 != index(status,host(X13))
| s(host(X13)) != host(X11)
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,s(host(X13)))
| ~ setIn(X13,alive)
| ( host(X12) != sK12(X12,X13)
& ~ setIn(sK12(X12,X13),index(down,host(X13)))
& leq(s(zero),sK12(X12,X13))
& ~ leq(host(X13),sK12(X12,X13)) ) )
& ! [X15,X16,X17,X18] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| ( host(X17) != sK13(X17,X18)
& ~ setIn(sK13(X17,X18),index(down,host(X18)))
& leq(s(zero),sK13(X17,X18))
& ~ leq(host(X18),sK13(X17,X18)) ) )
& ! [X20,X21,X22] :
( host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X21,alive)
| host(X21) != host(index(elid,host(X22)))
| wait != index(status,host(X22))
| host(X20) != host(X21)
| ~ elem(m_Down(X20),queue(host(X22)))
| ~ setIn(X22,alive)
| host(X22) = host(X21) )
& ! [X23,X24,X25] :
( host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X25))
| norm != index(status,host(X25))
| host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X25)))
| ~ setIn(X25,alive)
| host(X24) = host(X25) )
& ! [X26,X27,X28,X29] :
( ~ setIn(host(X27),index(down,host(X28)))
| ~ elem(m_Down(X29),queue(host(X26)))
| host(X28) != host(X29)
| host(X27) != host(X26)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X31),queue(host(X32)))
| ~ elem(m_Down(X33),queue(host(X30)))
| host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32) )
& ! [X34,X35,X36] :
( norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| host(X35) != host(X34)
| ~ elem(m_Down(X35),queue(host(X36)))
| ~ setIn(X36,alive)
| leq(host(X35),host(X36)) )
& ! [X37,X38] :
( X37 = X38
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39,X40,X41] :
( ~ elem(m_Down(X40),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| host(X40) != host(X41)
| ~ setIn(X41,alive) )
& ! [X42,X43,X44] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) )
& ! [X45,X46] :
( ~ setIn(host(X46),index(down,host(X45)))
| ~ setIn(X45,alive)
| host(X46) != index(ldr,host(X46))
| norm != index(status,host(X46))
| ~ setIn(X46,alive) )
& ! [X47,X48] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) )
& ! [X49] :
( index(elid,host(X49)) = X49
| ~ setIn(X49,alive)
| ( elec_2 != index(status,host(X49))
& elec_1 != index(status,host(X49)) ) )
& ! [X50,X51] :
( ~ setIn(X51,alive)
| ~ setIn(X50,alive)
| host(X50) != host(X51)
| X50 = X51 )
& ! [X52,X53] :
( host(X52) != host(X53)
| ~ elem(m_Down(X53),queue(host(X52))) )
& ! [X54,X55] :
( ~ leq(host(X54),host(X55))
| ~ elem(m_Ldr(X55),queue(host(X54))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f170,f176,f175,f174,f173,f172,f171]) ).
fof(f181,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f183,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f71]) ).
fof(f261,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f116]) ).
fof(f263,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f264,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f265,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f267,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f268,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f269,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f270,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f279,plain,
! [X48,X47] :
( leq(index(pendack,host(X48)),host(X47))
| elec_2 != index(status,host(X48))
| ~ setIn(host(X48),index(down,host(X47)))
| ~ setIn(X48,alive)
| ~ setIn(X47,alive) ),
inference(cnf_transformation,[],[f177]) ).
fof(f281,plain,
! [X44,X42,X43] :
( leq(index(pendack,host(X44)),host(X42))
| elec_2 != index(status,host(X44))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X42)))
| ~ setIn(X44,alive)
| ~ setIn(X42,alive) ),
inference(cnf_transformation,[],[f177]) ).
fof(f290,plain,
! [X18,X16,X17,X15] :
( ~ elem(m_Ack(X15,X16),queue(host(X15)))
| elec_1 != index(status,host(X18))
| elec_2 != index(status,host(X15))
| host(X16) != host(X18)
| ~ elem(m_Down(X17),queue(host(X18)))
| ~ leq(host(X15),host(X18))
| ~ setIn(X15,alive)
| leq(s(zero),sK13(X17,X18)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f298,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f177]) ).
fof(f300,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f177]) ).
fof(f301,plain,
host(sK6) = index(pendack,host(sK5)),
inference(cnf_transformation,[],[f177]) ).
fof(f302,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f177]) ).
fof(f304,plain,
host(sK5) = host(sK8),
inference(cnf_transformation,[],[f177]) ).
fof(f306,plain,
host(sK5) != host(sK11),
inference(cnf_transformation,[],[f177]) ).
fof(f307,plain,
! [X9] :
( host(sK10) = X9
| setIn(X9,index(down,host(sK11)))
| ~ leq(s(zero),X9)
| leq(host(sK11),X9) ),
inference(cnf_transformation,[],[f177]) ).
fof(f308,plain,
setIn(sK11,alive),
inference(cnf_transformation,[],[f177]) ).
fof(f309,plain,
leq(nbr_proc,s(host(sK11))),
inference(cnf_transformation,[],[f177]) ).
fof(f310,plain,
elem(m_Down(sK9),queue(host(sK11))),
inference(cnf_transformation,[],[f177]) ).
fof(f311,plain,
elem(m_Down(sK10),queue(host(sK11))),
inference(cnf_transformation,[],[f177]) ).
fof(f312,plain,
host(sK9) = s(host(sK11)),
inference(cnf_transformation,[],[f177]) ).
fof(f313,plain,
elec_1 = index(status,host(sK11)),
inference(cnf_transformation,[],[f177]) ).
fof(f327,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f265]) ).
cnf(c_52,plain,
leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f181]) ).
cnf(c_54,plain,
leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f183]) ).
cnf(c_126,plain,
~ leq(s(X0),X0),
inference(cnf_transformation,[],[f261]) ).
cnf(c_128,plain,
( leq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_130,plain,
leq(X0,X0),
inference(cnf_transformation,[],[f327]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_132,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X0)
| leq(X2,X1) ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_133,plain,
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_134,plain,
( ~ leq(X0,X1)
| leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_137,plain,
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_141,negated_conjecture,
index(status,host(sK11)) = elec_1,
inference(cnf_transformation,[],[f313]) ).
cnf(c_142,negated_conjecture,
s(host(sK11)) = host(sK9),
inference(cnf_transformation,[],[f312]) ).
cnf(c_143,negated_conjecture,
elem(m_Down(sK10),queue(host(sK11))),
inference(cnf_transformation,[],[f311]) ).
cnf(c_144,negated_conjecture,
elem(m_Down(sK9),queue(host(sK11))),
inference(cnf_transformation,[],[f310]) ).
cnf(c_145,negated_conjecture,
leq(nbr_proc,s(host(sK11))),
inference(cnf_transformation,[],[f309]) ).
cnf(c_146,negated_conjecture,
setIn(sK11,alive),
inference(cnf_transformation,[],[f308]) ).
cnf(c_147,negated_conjecture,
( ~ leq(s(zero),X0)
| host(sK10) = X0
| setIn(X0,index(down,host(sK11)))
| leq(host(sK11),X0) ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_148,negated_conjecture,
host(sK5) != host(sK11),
inference(cnf_transformation,[],[f306]) ).
cnf(c_150,negated_conjecture,
host(sK5) = host(sK8),
inference(cnf_transformation,[],[f304]) ).
cnf(c_152,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f302]) ).
cnf(c_153,negated_conjecture,
index(pendack,host(sK5)) = host(sK6),
inference(cnf_transformation,[],[f301]) ).
cnf(c_154,negated_conjecture,
index(status,host(sK5)) = elec_2,
inference(cnf_transformation,[],[f300]) ).
cnf(c_156,negated_conjecture,
setIn(sK5,alive),
inference(cnf_transformation,[],[f298]) ).
cnf(c_164,negated_conjecture,
( index(status,host(X1)) != elec_1
| index(status,host(X2)) != elec_2
| host(X0) != host(X1)
| ~ elem(m_Ack(X2,X0),queue(host(X2)))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ leq(host(X2),host(X1))
| ~ setIn(X2,alive)
| leq(s(zero),sK13(X3,X1)) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_173,negated_conjecture,
( index(status,host(X1)) != elec_2
| host(X0) != host(X1)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| leq(index(pendack,host(X1)),host(X2)) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_175,negated_conjecture,
( index(status,host(X0)) != elec_2
| ~ setIn(host(X0),index(down,host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X0)),host(X1)) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_4561,plain,
( ~ leq(host(sK5),host(sK11))
| ~ leq(host(sK11),host(sK5))
| host(sK5) = host(sK11) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_5758,plain,
leq(s(zero),host(sK5)),
inference(superposition,[status(thm)],[c_150,c_52]) ).
cnf(c_5861,plain,
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK5,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(superposition,[status(thm)],[c_154,c_175]) ).
cnf(c_5890,plain,
( host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK5,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(superposition,[status(thm)],[c_154,c_173]) ).
cnf(c_6579,plain,
( ~ leq(host(sK9),s(X0))
| leq(host(sK11),X0) ),
inference(superposition,[status(thm)],[c_142,c_133]) ).
cnf(c_6616,plain,
( ~ leq(host(sK9),host(sK9))
| leq(host(sK11),host(sK11)) ),
inference(superposition,[status(thm)],[c_142,c_6579]) ).
cnf(c_6649,plain,
leq(host(sK11),host(sK11)),
inference(superposition,[status(thm)],[c_130,c_6616]) ).
cnf(c_6680,plain,
( ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0)))
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_5861,c_156,c_5861]) ).
cnf(c_6681,plain,
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(renaming,[status(thm)],[c_6680]) ).
cnf(c_6705,plain,
( ~ leq(host(sK11),X0)
| leq(host(sK9),s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_134]) ).
cnf(c_6800,plain,
( ~ leq(host(sK11),host(sK11))
| leq(host(sK9),host(sK9)) ),
inference(superposition,[status(thm)],[c_142,c_6705]) ).
cnf(c_6926,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[status(thm)],[c_142,c_145]) ).
cnf(c_7678,plain,
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK5,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(resolution,[status(thm)],[c_175,c_154]) ).
cnf(c_7716,plain,
( host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK5,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(resolution,[status(thm)],[c_173,c_154]) ).
cnf(c_8345,plain,
( ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0)))
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_7678,c_6681]) ).
cnf(c_8346,plain,
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(renaming,[status(thm)],[c_8345]) ).
cnf(c_8359,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK5)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_7716,c_156,c_5890]) ).
cnf(c_8360,plain,
( host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(renaming,[status(thm)],[c_8359]) ).
cnf(c_8377,plain,
( host(sK10) != host(sK5)
| ~ setIn(sK11,alive)
| leq(index(pendack,host(sK5)),host(sK11)) ),
inference(resolution,[status(thm)],[c_8360,c_143]) ).
cnf(c_8378,plain,
( host(sK9) != host(sK5)
| ~ setIn(sK11,alive)
| leq(index(pendack,host(sK5)),host(sK11)) ),
inference(resolution,[status(thm)],[c_8360,c_144]) ).
cnf(c_8432,plain,
( host(sK10) != host(sK5)
| leq(index(pendack,host(sK5)),host(sK11)) ),
inference(global_subsumption_just,[status(thm)],[c_8377,c_146,c_8377]) ).
cnf(c_8466,plain,
( host(sK9) != host(sK5)
| leq(index(pendack,host(sK5)),host(sK11)) ),
inference(global_subsumption_just,[status(thm)],[c_8378,c_146,c_8378]) ).
cnf(c_9313,plain,
( ~ leq(s(host(sK11)),nbr_proc)
| s(host(sK11)) = nbr_proc ),
inference(superposition,[status(thm)],[c_145,c_131]) ).
cnf(c_9318,plain,
( ~ leq(host(sK9),nbr_proc)
| host(sK9) = nbr_proc ),
inference(superposition,[status(thm)],[c_6926,c_131]) ).
cnf(c_9667,plain,
( ~ leq(host(sK9),nbr_proc)
| s(host(sK11)) = nbr_proc ),
inference(superposition,[status(thm)],[c_142,c_9313]) ).
cnf(c_9692,plain,
s(host(sK11)) = nbr_proc,
inference(superposition,[status(thm)],[c_54,c_9667]) ).
cnf(c_10117,plain,
( ~ leq(index(pendack,host(sK5)),X0)
| leq(nbr_proc,X0) ),
inference(resolution,[status(thm)],[c_132,c_152]) ).
cnf(c_10733,plain,
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(nbr_proc,host(X0)) ),
inference(resolution,[status(thm)],[c_10117,c_8346]) ).
cnf(c_10737,plain,
( host(sK10) != host(sK5)
| leq(nbr_proc,host(sK11)) ),
inference(resolution,[status(thm)],[c_10117,c_8432]) ).
cnf(c_10738,plain,
( host(sK9) != host(sK5)
| leq(nbr_proc,host(sK11)) ),
inference(resolution,[status(thm)],[c_10117,c_8466]) ).
cnf(c_11116,plain,
leq(nbr_proc,host(sK6)),
inference(superposition,[status(thm)],[c_153,c_152]) ).
cnf(c_11315,plain,
( ~ leq(host(sK11),X0)
| leq(host(sK9),s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_134]) ).
cnf(c_11333,plain,
( ~ leq(host(sK11),host(sK11))
| leq(host(sK9),host(sK9)) ),
inference(superposition,[status(thm)],[c_142,c_11315]) ).
cnf(c_11344,plain,
leq(host(sK9),host(sK9)),
inference(global_subsumption_just,[status(thm)],[c_11333,c_6649,c_6800]) ).
cnf(c_11391,plain,
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_54,c_132]) ).
cnf(c_11449,plain,
leq(nbr_proc,nbr_proc),
inference(superposition,[status(thm)],[c_11116,c_11391]) ).
cnf(c_11453,plain,
leq(host(sK9),nbr_proc),
inference(superposition,[status(thm)],[c_11344,c_11391]) ).
cnf(c_11588,plain,
( ~ leq(s(host(sK11)),nbr_proc)
| s(host(sK11)) = nbr_proc ),
inference(superposition,[status(thm)],[c_145,c_131]) ).
cnf(c_11646,plain,
s(host(sK11)) = nbr_proc,
inference(global_subsumption_just,[status(thm)],[c_11588,c_9692]) ).
cnf(c_11662,plain,
~ leq(nbr_proc,host(sK11)),
inference(superposition,[status(thm)],[c_11646,c_126]) ).
cnf(c_12361,plain,
( ~ leq(s(zero),host(sK5))
| ~ setIn(sK11,alive)
| host(sK10) = host(sK5)
| leq(host(sK11),host(sK5))
| leq(nbr_proc,host(sK11)) ),
inference(resolution,[status(thm)],[c_10733,c_147]) ).
cnf(c_12548,plain,
( ~ leq(host(sK5),host(sK9))
| ~ leq(host(sK9),host(sK5))
| host(sK9) = host(sK5) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_35027,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[status(thm)],[c_142,c_145]) ).
cnf(c_35028,plain,
leq(host(sK5),nbr_proc),
inference(superposition,[status(thm)],[c_150,c_54]) ).
cnf(c_35073,plain,
( index(status,host(X0)) != elec_2
| host(X1) != host(sK11)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ elem(m_Down(X2),queue(host(sK11)))
| ~ leq(host(X0),host(sK11))
| ~ setIn(X0,alive)
| leq(s(zero),sK13(X2,sK11)) ),
inference(superposition,[status(thm)],[c_141,c_164]) ).
cnf(c_35391,plain,
( ~ leq(X0,X1)
| leq(X0,X2)
| leq(X2,X1) ),
inference(superposition,[status(thm)],[c_128,c_132]) ).
cnf(c_35394,plain,
( ~ leq(X0,nbr_proc)
| leq(X0,s(host(sK11))) ),
inference(superposition,[status(thm)],[c_145,c_132]) ).
cnf(c_35497,plain,
( ~ leq(X0,X1)
| ~ leq(X1,nbr_proc)
| leq(X0,s(host(sK11))) ),
inference(superposition,[status(thm)],[c_35394,c_132]) ).
cnf(c_35551,plain,
( ~ leq(host(sK9),nbr_proc)
| host(sK9) = nbr_proc ),
inference(superposition,[status(thm)],[c_35027,c_131]) ).
cnf(c_35576,plain,
host(sK9) = nbr_proc,
inference(global_subsumption_just,[status(thm)],[c_35551,c_9318,c_11453]) ).
cnf(c_36682,plain,
( host(X0) != host(sK11)
| ~ elem(m_Ack(sK5,X0),queue(host(sK5)))
| ~ elem(m_Down(X1),queue(host(sK11)))
| ~ leq(host(sK5),host(sK11))
| ~ setIn(sK5,alive)
| leq(s(zero),sK13(X1,sK11)) ),
inference(superposition,[status(thm)],[c_154,c_35073]) ).
cnf(c_36686,plain,
~ leq(host(sK5),host(sK11)),
inference(global_subsumption_just,[status(thm)],[c_36682,c_146,c_148,c_4561,c_5758,c_10737,c_11662,c_12361]) ).
cnf(c_42824,plain,
( ~ leq(nbr_proc,nbr_proc)
| leq(host(sK5),s(host(sK11))) ),
inference(superposition,[status(thm)],[c_35028,c_35497]) ).
cnf(c_43477,plain,
leq(host(sK5),s(host(sK11))),
inference(global_subsumption_just,[status(thm)],[c_42824,c_11449,c_42824]) ).
cnf(c_43480,plain,
leq(host(sK5),host(sK9)),
inference(superposition,[status(thm)],[c_142,c_43477]) ).
cnf(c_43486,plain,
( s(host(sK11)) = host(sK5)
| leq(host(sK5),host(sK11)) ),
inference(superposition,[status(thm)],[c_43477,c_137]) ).
cnf(c_43509,plain,
( ~ leq(host(sK9),host(sK5))
| host(sK5) = host(sK9) ),
inference(superposition,[status(thm)],[c_43480,c_131]) ).
cnf(c_44544,plain,
~ leq(host(sK9),host(sK5)),
inference(global_subsumption_just,[status(thm)],[c_43509,c_10738,c_11662,c_12548,c_43480]) ).
cnf(c_44564,plain,
~ leq(nbr_proc,host(sK5)),
inference(superposition,[status(thm)],[c_35576,c_44544]) ).
cnf(c_44777,plain,
( leq(X0,s(host(sK11)))
| leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_145,c_35391]) ).
cnf(c_47143,plain,
( s(host(sK11)) = X0
| leq(X0,host(sK11))
| leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_44777,c_137]) ).
cnf(c_58074,plain,
( s(host(sK11)) = host(sK5)
| leq(nbr_proc,host(sK5)) ),
inference(superposition,[status(thm)],[c_47143,c_36686]) ).
cnf(c_58321,plain,
s(host(sK11)) = host(sK5),
inference(global_subsumption_just,[status(thm)],[c_58074,c_146,c_148,c_4561,c_5758,c_10737,c_11662,c_12361,c_43486]) ).
cnf(c_58484,plain,
leq(nbr_proc,host(sK5)),
inference(superposition,[status(thm)],[c_58321,c_145]) ).
cnf(c_58485,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_58484,c_44564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:09:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.67/4.20 % SZS status Started for theBenchmark.p
% 24.67/4.20 % SZS status Theorem for theBenchmark.p
% 24.67/4.20
% 24.67/4.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.67/4.20
% 24.67/4.20 ------ iProver source info
% 24.67/4.20
% 24.67/4.20 git: date: 2023-05-31 18:12:56 +0000
% 24.67/4.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.67/4.20 git: non_committed_changes: false
% 24.67/4.20 git: last_make_outside_of_git: false
% 24.67/4.20
% 24.67/4.20 ------ Parsing...
% 24.67/4.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.67/4.20
% 24.67/4.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 24.67/4.20
% 24.67/4.20 ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.67/4.20
% 24.67/4.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.67/4.20 ------ Proving...
% 24.67/4.20 ------ Problem Properties
% 24.67/4.20
% 24.67/4.20
% 24.67/4.20 clauses 133
% 24.67/4.20 conjectures 46
% 24.67/4.20 EPR 21
% 24.67/4.20 Horn 112
% 24.67/4.20 unary 62
% 24.67/4.20 binary 29
% 24.67/4.20 lits 334
% 24.67/4.20 lits eq 138
% 24.67/4.20 fd_pure 0
% 24.67/4.20 fd_pseudo 0
% 24.67/4.20 fd_cond 1
% 24.67/4.20 fd_pseudo_cond 13
% 24.67/4.20 AC symbols 0
% 24.67/4.20
% 24.67/4.20 ------ Input Options Time Limit: Unbounded
% 24.67/4.20
% 24.67/4.20
% 24.67/4.20 ------
% 24.67/4.20 Current options:
% 24.67/4.20 ------
% 24.67/4.20
% 24.67/4.20
% 24.67/4.20
% 24.67/4.20
% 24.67/4.20 ------ Proving...
% 24.67/4.20
% 24.67/4.20
% 24.67/4.20 % SZS status Theorem for theBenchmark.p
% 24.67/4.20
% 24.67/4.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.67/4.20
% 24.67/4.21
%------------------------------------------------------------------------------