TSTP Solution File: SWV468+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 0.48s 1.15s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 86 ( 34 unt; 0 def)
% Number of atoms : 1207 ( 499 equ)
% Maximal formula atoms : 218 ( 14 avg)
% Number of connectives : 1823 ( 702 ~; 537 |; 489 &)
% ( 4 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 501 ( 6 sgn; 430 !; 42 ?)
% 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(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(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(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( leq(nbr_proc,host(X4))
=> ! [X6] :
( ~ setIn(host(X6),setEmpty)
=> ! [X15] :
( host(X4) = host(X15)
=> ! [X16] :
( host(X4) != host(X16)
=> ( ( elec_2 = index(status,host(X16))
& setIn(X16,alive)
& ~ leq(index(pendack,host(X16)),host(X15)) )
=> ~ ( host(X4) = host(X15)
& setIn(X15,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/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] :
( ~ setIn(host(X6),setEmpty)
=> ! [X15] :
( host(X4) = host(X15)
=> ! [X16] :
( host(X4) != host(X16)
=> ( ( elec_2 = index(status,host(X16))
& setIn(X16,alive)
& ~ leq(index(pendack,host(X16)),host(X15)) )
=> ~ ( host(X4) = host(X15)
& setIn(X15,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f70,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f71,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f105,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
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(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] :
( ~ setIn(host(X44),setEmpty)
=> ! [X45] :
( host(X2) = host(X45)
=> ! [X46] :
( host(X2) != host(X46)
=> ( ( elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45)) )
=> ~ ( host(X2) = host(X45)
& setIn(X45,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(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,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( host(X2) = host(X45)
& setIn(X45,alive)
& elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( host(X2) = host(X45)
& setIn(X45,alive)
& elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(flattening,[],[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(f170,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X1) != host(X5) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X6] :
( host(X2) = X6
| setIn(X6,index(down,host(X1)))
| ~ leq(s(zero),X6)
| leq(host(X1),X6) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X1) != host(X5) )
& host(X1) = host(X4) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X6] :
( host(X2) = X6
| setIn(X6,index(down,host(X1)))
| ~ leq(s(zero),X6)
| leq(host(X1),X6) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK4) )
& host(X4) = host(sK4) )
& ~ setIn(host(X3),setEmpty) )
& leq(nbr_proc,host(sK4))
& elec_1 = index(status,host(sK4))
& ! [X6] :
( host(sK5) = X6
| setIn(X6,index(down,host(sK4)))
| ~ leq(s(zero),X6)
| leq(host(sK4),X6) )
& ( 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)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK4) )
& host(X4) = host(sK4) )
& ~ setIn(host(X3),setEmpty) )
=> ( ? [X4] :
( ? [X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK4) )
& host(X4) = host(sK4) )
& ~ setIn(host(sK6),setEmpty) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X4] :
( ? [X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X5) != host(sK4) )
& host(X4) = host(sK4) )
=> ( ? [X5] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(sK7))
& host(X5) != host(sK4) )
& host(sK4) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X5] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(sK7))
& host(X5) != host(sK4) )
=> ( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_2 = index(status,host(sK8))
& setIn(sK8,alive)
& ~ leq(index(pendack,host(sK8)),host(sK7))
& host(sK4) != host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X8,X9] :
( ? [X10] :
( host(X8) != X10
& ~ setIn(X10,index(down,host(X9)))
& leq(s(zero),X10)
& ~ leq(host(X9),X10) )
=> ( host(X8) != sK9(X8,X9)
& ~ setIn(sK9(X8,X9),index(down,host(X9)))
& leq(s(zero),sK9(X8,X9))
& ~ leq(host(X9),sK9(X8,X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_2 = index(status,host(sK8))
& setIn(sK8,alive)
& ~ leq(index(pendack,host(sK8)),host(sK7))
& host(sK4) != host(sK8)
& host(sK4) = host(sK7)
& ~ setIn(host(sK6),setEmpty)
& leq(nbr_proc,host(sK4))
& elec_1 = index(status,host(sK4))
& ! [X6] :
( host(sK5) = X6
| setIn(X6,index(down,host(sK4)))
| ~ leq(s(zero),X6)
| leq(host(sK4),X6) )
& ( 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)
& ! [X7,X8,X9] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X9))
| ~ elem(m_Down(X8),queue(host(X9)))
| leq(host(X9),host(X7))
| ( host(X8) != sK9(X8,X9)
& ~ setIn(sK9(X8,X9),index(down,host(X9)))
& leq(s(zero),sK9(X8,X9))
& ~ leq(host(X9),sK9(X8,X9)) ) )
& ! [X11,X12,X13] :
( norm != index(status,host(X11))
| host(X11) != index(ldr,host(X11))
| ~ setIn(X11,alive)
| elec_2 != index(status,host(X13))
| host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ setIn(X13,alive) )
& ! [X14,X15] :
( ~ leq(index(pendack,host(X14)),index(pendack,host(X15)))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X17))
| ~ setIn(X17,alive)
| leq(index(pendack,host(X17)),host(X16)) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive) )
& ! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X24))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X30))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| leq(host(X30),host(X31)) )
& ! [X32,X33,X34] :
( ~ elem(m_Down(X33),queue(host(X32)))
| elec_2 != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| leq(host(X34),host(X32)) )
& ! [X35,X36] :
( ~ setIn(host(X36),index(down,host(X35)))
| ~ setIn(X35,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X36,alive) )
& ! [X37,X38] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) )
& ! [X39] :
( index(elid,host(X39)) = X39
| ~ setIn(X39,alive)
| ( elec_2 != index(status,host(X39))
& elec_1 != index(status,host(X39)) ) )
& ! [X40,X41] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| elec_2 != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X42,X43] :
( ~ setIn(X43,alive)
| ~ setIn(X42,alive)
| host(X42) != host(X43)
| X42 = X43 )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f170,f175,f174,f173,f172,f171]) ).
fof(f180,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f182,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f71]) ).
fof(f230,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f263,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f266,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f278,plain,
! [X38,X37] :
( leq(index(pendack,host(X38)),host(X37))
| elec_2 != index(status,host(X38))
| ~ setIn(host(X38),index(down,host(X37)))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive) ),
inference(cnf_transformation,[],[f176]) ).
fof(f284,plain,
! [X21,X22,X23] :
( leq(index(pendack,host(X23)),host(X21))
| elec_2 != index(status,host(X23))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) ),
inference(cnf_transformation,[],[f176]) ).
fof(f293,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f294,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f298,plain,
! [X6] :
( host(sK5) = X6
| setIn(X6,index(down,host(sK4)))
| ~ leq(s(zero),X6)
| leq(host(sK4),X6) ),
inference(cnf_transformation,[],[f176]) ).
fof(f300,plain,
leq(nbr_proc,host(sK4)),
inference(cnf_transformation,[],[f176]) ).
fof(f303,plain,
host(sK4) != host(sK8),
inference(cnf_transformation,[],[f176]) ).
fof(f304,plain,
~ leq(index(pendack,host(sK8)),host(sK7)),
inference(cnf_transformation,[],[f176]) ).
fof(f305,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f306,plain,
elec_2 = index(status,host(sK8)),
inference(cnf_transformation,[],[f176]) ).
fof(f308,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f176]) ).
fof(f315,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f230]) ).
cnf(c_52,plain,
leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f180]) ).
cnf(c_54,plain,
leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f182]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f315]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_132,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X0)
| leq(X2,X1) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_139,negated_conjecture,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f308]) ).
cnf(c_141,negated_conjecture,
index(status,host(sK8)) = elec_2,
inference(cnf_transformation,[],[f306]) ).
cnf(c_142,negated_conjecture,
setIn(sK8,alive),
inference(cnf_transformation,[],[f305]) ).
cnf(c_143,negated_conjecture,
~ leq(index(pendack,host(sK8)),host(sK7)),
inference(cnf_transformation,[],[f304]) ).
cnf(c_144,negated_conjecture,
host(sK4) != host(sK8),
inference(cnf_transformation,[],[f303]) ).
cnf(c_147,negated_conjecture,
leq(nbr_proc,host(sK4)),
inference(cnf_transformation,[],[f300]) ).
cnf(c_149,negated_conjecture,
( ~ leq(s(zero),X0)
| host(sK5) = X0
| setIn(X0,index(down,host(sK4)))
| leq(host(sK4),X0) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_153,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f294]) ).
cnf(c_154,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f293]) ).
cnf(c_163,negated_conjecture,
( index(status,host(X0)) != elec_2
| host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X2,alive)
| leq(index(pendack,host(X0)),host(X2)) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_169,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,[],[f278]) ).
cnf(c_1091,plain,
~ leq(index(pendack,host(sK8)),host(sK4)),
inference(light_normalisation,[status(thm)],[c_143,c_139]) ).
cnf(c_4785,plain,
( ~ setIn(host(sK8),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK8,alive)
| leq(index(pendack,host(sK8)),host(X0)) ),
inference(superposition,[status(thm)],[c_141,c_169]) ).
cnf(c_4788,plain,
( ~ setIn(host(sK8),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK8)),host(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4785,c_142]) ).
cnf(c_4862,plain,
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK8,alive)
| leq(index(pendack,host(sK8)),host(X1)) ),
inference(superposition,[status(thm)],[c_141,c_163]) ).
cnf(c_4865,plain,
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| leq(index(pendack,host(sK8)),host(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4862,c_142]) ).
cnf(c_4930,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[status(thm)],[c_154,c_96]) ).
cnf(c_5053,plain,
( ~ leq(s(zero),host(sK8))
| ~ setIn(sK4,alive)
| host(sK8) = host(sK5)
| leq(index(pendack,host(sK8)),host(sK4))
| leq(host(sK4),host(sK8)) ),
inference(superposition,[status(thm)],[c_149,c_4788]) ).
cnf(c_5054,plain,
( host(sK8) = host(sK5)
| leq(host(sK4),host(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5053,c_1091,c_153,c_52]) ).
cnf(c_5616,plain,
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_54,c_132]) ).
cnf(c_5626,plain,
( ~ leq(X0,nbr_proc)
| leq(X0,host(sK4)) ),
inference(superposition,[status(thm)],[c_147,c_132]) ).
cnf(c_5745,plain,
~ leq(index(pendack,host(sK8)),nbr_proc),
inference(superposition,[status(thm)],[c_5626,c_1091]) ).
cnf(c_6142,plain,
( ~ leq(host(sK4),nbr_proc)
| host(sK4) = nbr_proc ),
inference(superposition,[status(thm)],[c_147,c_131]) ).
cnf(c_6148,plain,
( ~ leq(host(sK8),host(sK4))
| host(sK4) = host(sK8)
| host(sK8) = host(sK5) ),
inference(superposition,[status(thm)],[c_5054,c_131]) ).
cnf(c_6176,plain,
host(sK4) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_6142,c_54]) ).
cnf(c_6227,plain,
( ~ leq(host(sK8),host(sK4))
| host(sK8) = host(sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6148,c_144]) ).
cnf(c_6255,plain,
elem(m_Down(sK5),queue(nbr_proc)),
inference(demodulation,[status(thm)],[c_4930,c_6176]) ).
cnf(c_6416,plain,
( ~ leq(host(sK8),nbr_proc)
| host(sK8) = host(sK5) ),
inference(light_normalisation,[status(thm)],[c_6227,c_6176]) ).
cnf(c_6417,plain,
host(sK8) = host(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_6416,c_54]) ).
cnf(c_6420,plain,
~ leq(index(pendack,host(sK5)),nbr_proc),
inference(demodulation,[status(thm)],[c_5745,c_6417]) ).
cnf(c_6427,plain,
( host(X0) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(demodulation,[status(thm)],[c_4865,c_6417]) ).
cnf(c_8147,plain,
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(equality_resolution,[status(thm)],[c_6427]) ).
cnf(c_9885,plain,
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),nbr_proc) ),
inference(superposition,[status(thm)],[c_8147,c_5616]) ).
cnf(c_9886,plain,
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9885,c_6420]) ).
cnf(c_12204,plain,
( ~ elem(m_Down(sK5),queue(nbr_proc))
| ~ setIn(sK4,alive) ),
inference(superposition,[status(thm)],[c_6176,c_9886]) ).
cnf(c_12206,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12204,c_153,c_6255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.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 07:57:59 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
% 0.48/1.15 % SZS status Started for theBenchmark.p
% 0.48/1.15 % SZS status Theorem for theBenchmark.p
% 0.48/1.15
% 0.48/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.15
% 0.48/1.15 ------ iProver source info
% 0.48/1.15
% 0.48/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.15 git: non_committed_changes: false
% 0.48/1.15 git: last_make_outside_of_git: false
% 0.48/1.15
% 0.48/1.15 ------ Parsing...
% 0.48/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.15
% 0.48/1.15 ------ Preprocessing... sup_sim: 5 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
% 0.48/1.15
% 0.48/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.15
% 0.48/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.15 ------ Proving...
% 0.48/1.15 ------ Problem Properties
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 clauses 117
% 0.48/1.15 conjectures 30
% 0.48/1.15 EPR 17
% 0.48/1.15 Horn 99
% 0.48/1.15 unary 56
% 0.48/1.15 binary 23
% 0.48/1.15 lits 269
% 0.48/1.15 lits eq 111
% 0.48/1.15 fd_pure 0
% 0.48/1.15 fd_pseudo 0
% 0.48/1.15 fd_cond 1
% 0.48/1.15 fd_pseudo_cond 12
% 0.48/1.15 AC symbols 0
% 0.48/1.15
% 0.48/1.15 ------ Schedule dynamic 5 is on
% 0.48/1.15
% 0.48/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 ------
% 0.48/1.15 Current options:
% 0.48/1.15 ------
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 ------ Proving...
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 % SZS status Theorem for theBenchmark.p
% 0.48/1.15
% 0.48/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.15
% 0.48/1.15
%------------------------------------------------------------------------------