TSTP Solution File: SWV469+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 22:37:39 EDT 2023
% Result : Theorem 3.86s 1.01s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 78 ( 27 unt; 0 def)
% Number of atoms : 1174 ( 506 equ)
% Maximal formula atoms : 216 ( 15 avg)
% Number of connectives : 1783 ( 687 ~; 534 |; 471 &)
% ( 6 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 483 ( 4 sgn; 428 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
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(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_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16] :
( host(X4) = host(X16)
=> ( ( setIn(X16,alive)
& ~ leq(s(host(X4)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16] :
( host(X4) = host(X16)
=> ( ( setIn(X16,alive)
& ~ leq(s(host(X4)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f70,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f105,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
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(f122,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f124,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( ( elec_1 = index(status,host(X6))
& elem(m_Down(X5),queue(host(X6)))
& ~ leq(host(X6),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X6),X7) )
=> ( host(X5) = X7
| setIn(X7,index(down,host(X6))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X8,X9,X10] :
( ( elec_2 = index(status,host(X10))
& host(X8) = host(X9)
& elem(m_Down(X9),queue(host(X10)))
& setIn(X10,alive) )
=> ~ ( norm = index(status,host(X8))
& host(X8) = index(ldr,host(X8))
& setIn(X8,alive) ) )
& ! [X11,X12] :
( ( elec_2 = index(status,host(X12))
& elec_2 = index(status,host(X11))
& setIn(X12,alive)
& setIn(X11,alive)
& ~ leq(host(X11),host(X12)) )
=> ~ leq(index(pendack,host(X11)),index(pendack,host(X12))) )
& ! [X13,X14] :
( ( elec_2 = index(status,host(X14))
& setIn(X14,alive)
& ~ leq(index(pendack,host(X14)),host(X13)) )
=> ~ ( norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X13,alive) ) )
& ! [X15,X16,X17] :
( ( host(X17) = index(ldr,host(X17))
& norm = index(status,host(X17))
& host(X16) = host(X17)
& setIn(X17,alive) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& setIn(X15,alive) ) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& host(X20) = host(X19)
& elem(m_Down(X19),queue(host(X18)))
& setIn(X20,alive)
& setIn(X18,alive) )
=> leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22,X23] :
( ( elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X21))
& host(X23) = host(X22)
& setIn(X23,alive)
& setIn(X21,alive) )
=> ~ elem(m_Ack(X21,X22),queue(host(X21))) )
& ! [X24,X25,X26] :
( ( host(X24) = host(X25)
& elem(m_Ack(X26,X25),queue(host(X26)))
& setIn(X26,alive) )
=> ~ ( norm = index(status,host(X24))
& host(X24) = index(ldr,host(X24))
& setIn(X24,alive) ) )
& ! [X27,X28] :
( ( elec_2 = index(status,host(X28))
& elec_2 = index(status,host(X27))
& setIn(X28,alive)
& setIn(X27,alive)
& ~ leq(host(X27),host(X28)) )
=> leq(index(pendack,host(X28)),host(X27)) )
& ! [X29,X30,X31] :
( ( elec_2 = index(status,host(X31))
& host(X31) = host(X30)
& setIn(X31,alive)
& setIn(X29,alive)
& ~ leq(host(X31),host(X29)) )
=> ~ elem(m_Down(X30),queue(host(X29))) )
& ! [X32,X33] :
( ( host(X33) = index(ldr,host(X33))
& norm = index(status,host(X33))
& setIn(X33,alive) )
=> ~ ( setIn(host(X33),index(down,host(X32)))
& setIn(X32,alive) ) )
& ! [X34,X35] :
( ( elec_2 = index(status,host(X35))
& setIn(host(X35),index(down,host(X34)))
& setIn(X35,alive)
& setIn(X34,alive) )
=> leq(index(pendack,host(X35)),host(X34)) )
& ! [X36] :
( ( setIn(X36,alive)
& ( elec_2 = index(status,host(X36))
| elec_1 = index(status,host(X36)) ) )
=> index(elid,host(X36)) = X36 )
& ! [X37,X38] :
( ( elec_2 = index(status,host(X38))
& setIn(X38,alive) )
=> ~ elem(m_Ack(X37,X38),queue(host(X37))) )
& ! [X39,X40] :
( ( host(X39) = host(X40)
& X39 != X40 )
=> ( ~ setIn(X40,alive)
| ~ setIn(X39,alive) ) )
& ! [X41,X42] :
( elem(m_Ldr(X42),queue(host(X41)))
=> ~ leq(host(X41),host(X42)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( elec_1 = index(status,host(X2))
& ! [X43] :
( ( leq(s(zero),X43)
& ~ leq(host(X2),X43) )
=> ( host(X3) = X43
| setIn(X43,index(down,host(X2))) ) ) )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X44] :
( host(X2) != host(X44)
=> ! [X45] :
( host(X2) = host(X45)
=> ( ( setIn(X45,alive)
& ~ leq(s(host(X2)),host(X44)) )
=> ~ ( norm = index(status,host(X44))
& host(X44) = index(ldr,host(X44))
& setIn(X44,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f140,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( norm = index(status,host(X44))
& host(X44) = index(ldr,host(X44))
& setIn(X44,alive)
& setIn(X45,alive)
& ~ leq(s(host(X2)),host(X44))
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( norm = index(status,host(X44))
& host(X44) = index(ldr,host(X44))
& setIn(X44,alive)
& setIn(X45,alive)
& ~ leq(s(host(X2)),host(X44))
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(flattening,[],[f140]) ).
fof(f147,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,[],[f105]) ).
fof(f148,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,[],[f147]) ).
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(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] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(X1)),host(X3))
& host(X1) = host(X4) )
& host(X3) != host(X1) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X5] :
( host(X2) = X5
| setIn(X5,index(down,host(X1)))
| ~ leq(s(zero),X5)
| leq(host(X1),X5) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(X1)),host(X3))
& host(X1) = host(X4) )
& host(X3) != host(X1) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X5] :
( host(X2) = X5
| setIn(X5,index(down,host(X1)))
| ~ leq(s(zero),X5)
| leq(host(X1),X5) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) )
=> ( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK4)),host(X3))
& host(X4) = host(sK4) )
& host(X3) != host(sK4) )
& ~ leq(nbr_proc,host(sK4))
& elec_1 = index(status,host(sK4))
& ! [X5] :
( host(sK5) = X5
| setIn(X5,index(down,host(sK4)))
| ~ leq(s(zero),X5)
| leq(host(sK4),X5) )
& ( host(sK5) != host(index(elid,host(sK4)))
| wait != index(status,host(sK4)) )
& ( norm != index(status,host(sK4))
| host(sK5) != index(ldr,host(sK4)) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK4)),host(X3))
& host(X4) = host(sK4) )
& host(X3) != host(sK4) )
=> ( ? [X4] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(X4) = host(sK4) )
& host(sK4) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X4] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(X4) = host(sK4) )
=> ( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& setIn(sK7,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(sK4) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X7,X8] :
( ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) )
=> ( host(X7) != sK8(X7,X8)
& ~ setIn(sK8(X7,X8),index(down,host(X8)))
& leq(s(zero),sK8(X7,X8))
& ~ leq(host(X8),sK8(X7,X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& setIn(sK7,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(sK4) = host(sK7)
& host(sK4) != host(sK6)
& ~ leq(nbr_proc,host(sK4))
& elec_1 = index(status,host(sK4))
& ! [X5] :
( host(sK5) = X5
| setIn(X5,index(down,host(sK4)))
| ~ leq(s(zero),X5)
| leq(host(sK4),X5) )
& ( host(sK5) != host(index(elid,host(sK4)))
| wait != index(status,host(sK4)) )
& ( norm != index(status,host(sK4))
| host(sK5) != index(ldr,host(sK4)) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ( host(X7) != sK8(X7,X8)
& ~ setIn(sK8(X7,X8),index(down,host(X8)))
& leq(s(zero),sK8(X7,X8))
& ~ leq(host(X8),sK8(X7,X8)) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8])],[f170,f174,f173,f172,f171]) ).
fof(f179,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f229,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f261,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f262,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f263,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f268,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f278,plain,
! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) ),
inference(cnf_transformation,[],[f175]) ).
fof(f284,plain,
! [X18,X19,X17] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) ),
inference(cnf_transformation,[],[f175]) ).
fof(f292,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f175]) ).
fof(f293,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f175]) ).
fof(f297,plain,
! [X5] :
( host(sK5) = X5
| setIn(X5,index(down,host(sK4)))
| ~ leq(s(zero),X5)
| leq(host(sK4),X5) ),
inference(cnf_transformation,[],[f175]) ).
fof(f300,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f175]) ).
fof(f302,plain,
~ leq(s(host(sK4)),host(sK6)),
inference(cnf_transformation,[],[f175]) ).
fof(f304,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f175]) ).
fof(f305,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f175]) ).
fof(f306,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f175]) ).
fof(f313,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f229]) ).
fof(f318,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f263]) ).
cnf(c_52,plain,
leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f179]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f313]) ).
cnf(c_128,plain,
( leq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_130,plain,
leq(X0,X0),
inference(cnf_transformation,[],[f318]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_137,plain,
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_139,negated_conjecture,
index(status,host(sK6)) = norm,
inference(cnf_transformation,[],[f306]) ).
cnf(c_140,negated_conjecture,
index(ldr,host(sK6)) = host(sK6),
inference(cnf_transformation,[],[f305]) ).
cnf(c_141,negated_conjecture,
setIn(sK6,alive),
inference(cnf_transformation,[],[f304]) ).
cnf(c_143,negated_conjecture,
~ leq(s(host(sK4)),host(sK6)),
inference(cnf_transformation,[],[f302]) ).
cnf(c_145,negated_conjecture,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f300]) ).
cnf(c_148,negated_conjecture,
( ~ leq(s(zero),X0)
| host(sK5) = X0
| setIn(X0,index(down,host(sK4)))
| leq(host(sK4),X0) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_152,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f293]) ).
cnf(c_153,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f292]) ).
cnf(c_161,negated_conjecture,
( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X2,alive) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_167,negated_conjecture,
( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(host(X0),index(down,host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_4817,plain,
( index(status,host(sK6)) != norm
| ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive) ),
inference(superposition,[status(thm)],[c_140,c_167]) ).
cnf(c_4819,plain,
( ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4817,c_141,c_139]) ).
cnf(c_4888,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[status(thm)],[c_153,c_96]) ).
cnf(c_4898,plain,
leq(host(sK6),s(host(sK4))),
inference(superposition,[status(thm)],[c_128,c_143]) ).
cnf(c_4916,plain,
( index(status,host(sK6)) != norm
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive) ),
inference(superposition,[status(thm)],[c_140,c_161]) ).
cnf(c_4918,plain,
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4916,c_141,c_139]) ).
cnf(c_5079,plain,
( ~ leq(s(zero),host(sK6))
| ~ setIn(sK4,alive)
| host(sK6) = host(sK5)
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_148,c_4819]) ).
cnf(c_5080,plain,
( host(sK6) = host(sK5)
| leq(host(sK4),host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5079,c_152,c_52]) ).
cnf(c_6629,plain,
( ~ leq(host(sK6),host(sK4))
| host(sK6) = host(sK4)
| host(sK6) = host(sK5) ),
inference(superposition,[status(thm)],[c_5080,c_131]) ).
cnf(c_6751,plain,
( ~ leq(host(sK6),host(sK4))
| host(sK6) = host(sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6629,c_145]) ).
cnf(c_7207,plain,
( s(host(sK4)) = host(sK6)
| leq(host(sK6),host(sK4)) ),
inference(superposition,[status(thm)],[c_4898,c_137]) ).
cnf(c_7490,plain,
( s(host(sK4)) = host(sK6)
| host(sK6) = host(sK5) ),
inference(superposition,[status(thm)],[c_7207,c_6751]) ).
cnf(c_7585,plain,
( ~ leq(host(sK6),host(sK6))
| host(sK6) = host(sK5) ),
inference(superposition,[status(thm)],[c_7490,c_143]) ).
cnf(c_7586,plain,
host(sK6) = host(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_7585,c_130]) ).
cnf(c_7800,plain,
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(superposition,[status(thm)],[c_7586,c_4918]) ).
cnf(c_8463,plain,
~ setIn(sK4,alive),
inference(superposition,[status(thm)],[c_4888,c_7800]) ).
cnf(c_8466,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8463,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : run_iprover %s %d THM
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Tue Aug 29 04:20:46 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.86/1.01 % SZS status Started for theBenchmark.p
% 3.86/1.01 % SZS status Theorem for theBenchmark.p
% 3.86/1.01
% 3.86/1.01 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.86/1.01
% 3.86/1.01 ------ iProver source info
% 3.86/1.01
% 3.86/1.01 git: date: 2023-05-31 18:12:56 +0000
% 3.86/1.01 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.86/1.01 git: non_committed_changes: false
% 3.86/1.01 git: last_make_outside_of_git: false
% 3.86/1.01
% 3.86/1.01 ------ Parsing...
% 3.86/1.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.86/1.01
% 3.86/1.01 ------ Preprocessing... sup_sim: 4 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
% 3.86/1.01
% 3.86/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.86/1.01
% 3.86/1.01 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.86/1.01 ------ Proving...
% 3.86/1.01 ------ Problem Properties
% 3.86/1.01
% 3.86/1.01
% 3.86/1.01 clauses 118
% 3.86/1.01 conjectures 32
% 3.86/1.01 EPR 17
% 3.86/1.01 Horn 100
% 3.86/1.01 unary 57
% 3.86/1.01 binary 23
% 3.86/1.01 lits 270
% 3.86/1.01 lits eq 112
% 3.86/1.01 fd_pure 0
% 3.86/1.01 fd_pseudo 0
% 3.86/1.01 fd_cond 1
% 3.86/1.01 fd_pseudo_cond 12
% 3.86/1.01 AC symbols 0
% 3.86/1.01
% 3.86/1.01 ------ Schedule dynamic 5 is on
% 3.86/1.01
% 3.86/1.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.86/1.01
% 3.86/1.01
% 3.86/1.01 ------
% 3.86/1.01 Current options:
% 3.86/1.01 ------
% 3.86/1.01
% 3.86/1.01
% 3.86/1.01
% 3.86/1.01
% 3.86/1.01 ------ Proving...
% 3.86/1.01
% 3.86/1.01
% 3.86/1.01 % SZS status Theorem for theBenchmark.p
% 3.86/1.01
% 3.86/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.01
% 3.86/1.01
%------------------------------------------------------------------------------