TSTP Solution File: SWV459+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV459+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 22:37:36 EDT 2023
% Result : Theorem 3.92s 1.19s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 91 ( 23 unt; 0 def)
% Number of atoms : 1191 ( 519 equ)
% Maximal formula atoms : 196 ( 13 avg)
% Number of connectives : 1783 ( 683 ~; 525 |; 480 &)
% ( 6 <=>; 89 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 495 ( 3 sgn; 408 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
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))
& elem(m_Halt(X13),queue(host(X14)))
& 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,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] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,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(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] :
( ( 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] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6] : leq(index(pendack,host(X6)),nbr_proc) )
=> ( 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] :
( s(host(X4)) != host(X16)
=> ( host(X4) != host(X16)
=> ! [X17] :
( host(X4) = host(X17)
=> ( ( elem(m_Halt(X17),queue(host(X16)))
& setIn(X17,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))
& elem(m_Halt(X13),queue(host(X14)))
& 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,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] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,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(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] :
( ( 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] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6] : leq(index(pendack,host(X6)),nbr_proc) )
=> ( 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] :
( s(host(X4)) != host(X16)
=> ( host(X4) != host(X16)
=> ! [X17] :
( host(X4) = host(X17)
=> ( ( elem(m_Halt(X17),queue(host(X16)))
& setIn(X17,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(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))
& elem(m_Halt(X10),queue(host(X9)))
& setIn(X10,alive)
& ~ leq(index(pendack,host(X10)),host(X8)) )
=> ~ ( 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] :
( ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X14,alive)
& setIn(X13,alive) )
=> X13 = X14 )
& ! [X15,X16] :
( ( elec_2 = index(status,host(X16))
& setIn(X16,alive)
& ~ leq(index(pendack,host(X16)),host(X15)) )
=> ~ ( norm = index(status,host(X15))
& host(X15) = index(ldr,host(X15))
& setIn(X15,alive) ) )
& ! [X17,X18,X19] :
( ( host(X17) = host(X18)
& elem(m_Ack(X19,X18),queue(host(X19)))
& setIn(X19,alive) )
=> ~ ( norm = index(status,host(X17))
& host(X17) = index(ldr,host(X17))
& setIn(X17,alive) ) )
& ! [X20,X21] :
( ( elec_2 = index(status,host(X21))
& elec_2 = index(status,host(X20))
& setIn(X21,alive)
& setIn(X20,alive)
& ~ leq(host(X20),host(X21)) )
=> leq(index(pendack,host(X21)),host(X20)) )
& ! [X22,X23,X24] :
( ( host(X22) = host(X23)
& elem(m_Down(X23),queue(host(X24)))
& setIn(X24,alive) )
=> ~ ( norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22))
& setIn(X22,alive) ) )
& ! [X25] :
( ( setIn(X25,alive)
& ( elec_2 = index(status,host(X25))
| elec_1 = index(status,host(X25)) ) )
=> index(elid,host(X25)) = X25 )
& ! [X26,X27] :
( ( host(X26) = host(X27)
& X26 != X27 )
=> ( ~ setIn(X27,alive)
| ~ setIn(X26,alive) ) )
& ! [X28,X29] :
( ( host(X28) = host(X29)
& leq(X29,X28)
& ~ setIn(X28,alive) )
=> ~ setIn(X29,alive) )
& ! [X30,X31,X32] :
( elem(m_Ack(X32,X30),queue(host(X31)))
=> ~ leq(host(X30),host(X32)) )
& ! [X33,X34] :
( elem(m_Halt(X34),queue(host(X33)))
=> ~ leq(host(X33),host(X34)) )
& ! [X35,X36] :
( elem(m_Ldr(X36),queue(host(X35)))
=> ~ leq(host(X35),host(X36)) )
& ! [X37,X38] :
( elem(m_Down(X38),queue(host(X37)))
=> ~ setIn(X38,alive) )
& ! [X39] : leq(index(pendack,host(X39)),nbr_proc) )
=> ( 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))
& ! [X40] :
( ( leq(s(zero),X40)
& ~ leq(host(X2),X40) )
=> ( host(X3) = X40
| setIn(X40,index(down,host(X2))) ) ) )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X41] :
( host(X2) != host(X41)
=> ! [X42] :
( s(host(X2)) != host(X42)
=> ( host(X2) != host(X42)
=> ! [X43] :
( host(X2) = host(X43)
=> ( ( elem(m_Halt(X43),queue(host(X42)))
& setIn(X43,alive)
& ~ leq(s(host(X2)),host(X41)) )
=> ~ ( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f140,plain,
? [X0,X2,X3] :
( ? [X41] :
( ? [X42] :
( ? [X43] :
( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive)
& elem(m_Halt(X43),queue(host(X42)))
& setIn(X43,alive)
& ~ leq(s(host(X2)),host(X41))
& host(X2) = host(X43) )
& host(X2) != host(X42)
& s(host(X2)) != host(X42) )
& host(X2) != host(X41) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X40] :
( host(X3) = X40
| setIn(X40,index(down,host(X2)))
| ~ leq(s(zero),X40)
| leq(host(X2),X40) )
& ( 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))
| ~ elem(m_Halt(X10),queue(host(X9)))
| ~ setIn(X10,alive)
| leq(index(pendack,host(X10)),host(X8)) )
& ! [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] :
( X13 = X14
| host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive) )
& ! [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] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ setIn(X19,alive) )
& ! [X20,X21] :
( leq(index(pendack,host(X21)),host(X20))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22))
| ~ setIn(X22,alive)
| host(X22) != host(X23)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X24,alive) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) ) )
& ! [X26,X27] :
( ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| X26 = X27 )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| host(X28) != host(X29)
| ~ leq(X29,X28)
| setIn(X28,alive) )
& ! [X30,X31,X32] :
( ~ leq(host(X30),host(X32))
| ~ elem(m_Ack(X32,X30),queue(host(X31))) )
& ! [X33,X34] :
( ~ leq(host(X33),host(X34))
| ~ elem(m_Halt(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) )
& ! [X37,X38] :
( ~ setIn(X38,alive)
| ~ elem(m_Down(X38),queue(host(X37))) )
& ! [X39] : leq(index(pendack,host(X39)),nbr_proc) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X2,X3] :
( ? [X41] :
( ? [X42] :
( ? [X43] :
( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive)
& elem(m_Halt(X43),queue(host(X42)))
& setIn(X43,alive)
& ~ leq(s(host(X2)),host(X41))
& host(X2) = host(X43) )
& host(X2) != host(X42)
& s(host(X2)) != host(X42) )
& host(X2) != host(X41) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X40] :
( host(X3) = X40
| setIn(X40,index(down,host(X2)))
| ~ leq(s(zero),X40)
| leq(host(X2),X40) )
& ( 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))
| ~ elem(m_Halt(X10),queue(host(X9)))
| ~ setIn(X10,alive)
| leq(index(pendack,host(X10)),host(X8)) )
& ! [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] :
( X13 = X14
| host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive) )
& ! [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] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| ~ elem(m_Ack(X19,X18),queue(host(X19)))
| ~ setIn(X19,alive) )
& ! [X20,X21] :
( leq(index(pendack,host(X21)),host(X20))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22))
| ~ setIn(X22,alive)
| host(X22) != host(X23)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X24,alive) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) ) )
& ! [X26,X27] :
( ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| X26 = X27 )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| host(X28) != host(X29)
| ~ leq(X29,X28)
| setIn(X28,alive) )
& ! [X30,X31,X32] :
( ~ leq(host(X30),host(X32))
| ~ elem(m_Ack(X32,X30),queue(host(X31))) )
& ! [X33,X34] :
( ~ leq(host(X33),host(X34))
| ~ elem(m_Halt(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) )
& ! [X37,X38] :
( ~ setIn(X38,alive)
| ~ elem(m_Down(X38),queue(host(X37))) )
& ! [X39] : leq(index(pendack,host(X39)),nbr_proc) ),
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] :
( ? [X5] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(s(host(X1)),host(X3))
& host(X1) = host(X5) )
& host(X1) != host(X4)
& host(X4) != s(host(X1)) )
& host(X3) != host(X1) )
& ~ 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))
| ~ elem(m_Halt(X13),queue(host(X12)))
| ~ setIn(X13,alive)
| leq(index(pendack,host(X13)),host(X11)) )
& ! [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] :
( X16 = X17
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive) )
& ! [X18,X19] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X19))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X18)) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X21) != host(X20)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25,X26,X27] :
( norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25))
| ~ setIn(X25,alive)
| host(X25) != host(X26)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X27,alive) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| host(X31) != host(X32)
| ~ leq(X32,X31)
| setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( ~ leq(host(X38),host(X39))
| ~ elem(m_Ldr(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ setIn(X41,alive)
| ~ elem(m_Down(X41),queue(host(X40))) )
& ! [X42] : leq(index(pendack,host(X42)),nbr_proc) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(s(host(X1)),host(X3))
& host(X1) = host(X5) )
& host(X1) != host(X4)
& host(X4) != s(host(X1)) )
& host(X3) != host(X1) )
& ~ 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))
| ~ elem(m_Halt(X13),queue(host(X12)))
| ~ setIn(X13,alive)
| leq(index(pendack,host(X13)),host(X11)) )
& ! [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] :
( X16 = X17
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive) )
& ! [X18,X19] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X19))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X18)) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X21) != host(X20)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25,X26,X27] :
( norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25))
| ~ setIn(X25,alive)
| host(X25) != host(X26)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X27,alive) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| host(X31) != host(X32)
| ~ leq(X32,X31)
| setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( ~ leq(host(X38),host(X39))
| ~ elem(m_Ldr(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ setIn(X41,alive)
| ~ elem(m_Down(X41),queue(host(X40))) )
& ! [X42] : leq(index(pendack,host(X42)),nbr_proc) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(s(host(sK4)),host(X3))
& host(X5) = host(sK4) )
& host(X4) != host(sK4)
& host(X4) != s(host(sK4)) )
& host(X3) != host(sK4) )
& ~ 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))
| ~ elem(m_Halt(X13),queue(host(X12)))
| ~ setIn(X13,alive)
| leq(index(pendack,host(X13)),host(X11)) )
& ! [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] :
( X16 = X17
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive) )
& ! [X18,X19] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X19))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X18)) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X21) != host(X20)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25,X26,X27] :
( norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25))
| ~ setIn(X25,alive)
| host(X25) != host(X26)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X27,alive) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| host(X31) != host(X32)
| ~ leq(X32,X31)
| setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( ~ leq(host(X38),host(X39))
| ~ elem(m_Ldr(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ setIn(X41,alive)
| ~ elem(m_Down(X41),queue(host(X40))) )
& ! [X42] : leq(index(pendack,host(X42)),nbr_proc) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(s(host(sK4)),host(X3))
& host(X5) = host(sK4) )
& host(X4) != host(sK4)
& host(X4) != s(host(sK4)) )
& host(X3) != host(sK4) )
=> ( ? [X4] :
( ? [X5] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(X5) = host(sK4) )
& host(X4) != host(sK4)
& host(X4) != s(host(sK4)) )
& host(sK4) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X4] :
( ? [X5] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(X5) = host(sK4) )
& host(X4) != host(sK4)
& host(X4) != s(host(sK4)) )
=> ( ? [X5] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& elem(m_Halt(X5),queue(host(sK7)))
& setIn(X5,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(X5) = host(sK4) )
& host(sK4) != host(sK7)
& s(host(sK4)) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X5] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& elem(m_Halt(X5),queue(host(sK7)))
& setIn(X5,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(X5) = host(sK4) )
=> ( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& elem(m_Halt(sK8),queue(host(sK7)))
& setIn(sK8,alive)
& ~ leq(s(host(sK4)),host(sK6))
& 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,
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& elem(m_Halt(sK8),queue(host(sK7)))
& setIn(sK8,alive)
& ~ leq(s(host(sK4)),host(sK6))
& host(sK4) = host(sK8)
& host(sK4) != host(sK7)
& s(host(sK4)) != host(sK7)
& host(sK4) != host(sK6)
& ~ 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))
| ~ elem(m_Halt(X13),queue(host(X12)))
| ~ setIn(X13,alive)
| leq(index(pendack,host(X13)),host(X11)) )
& ! [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] :
( X16 = X17
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive) )
& ! [X18,X19] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X19))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X18)) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X21) != host(X20)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25,X26,X27] :
( norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25))
| ~ setIn(X25,alive)
| host(X25) != host(X26)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X27,alive) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| host(X31) != host(X32)
| ~ leq(X32,X31)
| setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( ~ leq(host(X38),host(X39))
| ~ elem(m_Ldr(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ setIn(X41,alive)
| ~ elem(m_Down(X41),queue(host(X40))) )
& ! [X42] : leq(index(pendack,host(X42)),nbr_proc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f170,f175,f174,f173,f172,f171]) ).
fof(f230,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f262,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f263,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f264,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f269,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f289,plain,
! [X8,X9,X7] :
( 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))
| ~ leq(host(X9),sK9(X8,X9)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f290,plain,
! [X8,X9,X7] :
( 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))
| leq(s(zero),sK9(X8,X9)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f291,plain,
! [X8,X9,X7] :
( 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))
| ~ setIn(sK9(X8,X9),index(down,host(X9))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f292,plain,
! [X8,X9,X7] :
( 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) ),
inference(cnf_transformation,[],[f176]) ).
fof(f293,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
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(f299,plain,
elec_1 = index(status,host(sK4)),
inference(cnf_transformation,[],[f176]) ).
fof(f301,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f176]) ).
fof(f305,plain,
~ leq(s(host(sK4)),host(sK6)),
inference(cnf_transformation,[],[f176]) ).
fof(f308,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f309,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f176]) ).
fof(f310,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f176]) ).
fof(f317,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f230]) ).
fof(f322,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f264]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f317]) ).
cnf(c_128,plain,
( leq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_130,plain,
leq(X0,X0),
inference(cnf_transformation,[],[f322]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_137,plain,
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_139,negated_conjecture,
index(status,host(sK6)) = norm,
inference(cnf_transformation,[],[f310]) ).
cnf(c_140,negated_conjecture,
index(ldr,host(sK6)) = host(sK6),
inference(cnf_transformation,[],[f309]) ).
cnf(c_141,negated_conjecture,
setIn(sK6,alive),
inference(cnf_transformation,[],[f308]) ).
cnf(c_144,negated_conjecture,
~ leq(s(host(sK4)),host(sK6)),
inference(cnf_transformation,[],[f305]) ).
cnf(c_148,negated_conjecture,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f301]) ).
cnf(c_150,negated_conjecture,
index(status,host(sK4)) = elec_1,
inference(cnf_transformation,[],[f299]) ).
cnf(c_151,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_156,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f293]) ).
cnf(c_157,negated_conjecture,
( index(status,host(X0)) != norm
| index(status,host(X2)) != elec_1
| index(ldr,host(X0)) != host(X0)
| sK9(X1,X2) != host(X1)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| leq(host(X2),host(X0)) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_158,negated_conjecture,
( index(status,host(X0)) != norm
| index(status,host(X1)) != elec_1
| index(ldr,host(X0)) != host(X0)
| ~ setIn(sK9(X2,X1),index(down,host(X1)))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(host(X1),host(X0)) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_159,negated_conjecture,
( index(status,host(X0)) != norm
| index(status,host(X1)) != elec_1
| index(ldr,host(X0)) != host(X0)
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(s(zero),sK9(X2,X1))
| leq(host(X1),host(X0)) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_160,negated_conjecture,
( index(status,host(X0)) != norm
| index(status,host(X1)) != elec_1
| index(ldr,host(X0)) != host(X0)
| ~ leq(host(X1),sK9(X2,X1))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(host(X1),host(X0)) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_4739,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[status(thm)],[c_156,c_96]) ).
cnf(c_4749,plain,
leq(host(sK6),s(host(sK4))),
inference(superposition,[status(thm)],[c_128,c_144]) ).
cnf(c_4891,plain,
( index(status,host(X0)) != elec_1
| index(status,host(sK6)) != norm
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6,alive)
| leq(s(zero),sK9(X1,X0))
| leq(host(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_140,c_159]) ).
cnf(c_4893,plain,
( index(status,host(X0)) != elec_1
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(s(zero),sK9(X1,X0))
| leq(host(X0),host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4891,c_141,c_139]) ).
cnf(c_4921,plain,
( index(status,host(X0)) != elec_1
| index(status,host(sK6)) != norm
| ~ leq(host(X0),sK9(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6,alive)
| leq(host(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_140,c_160]) ).
cnf(c_4922,plain,
( index(status,host(X0)) != elec_1
| ~ leq(host(X0),sK9(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4921,c_141,c_139]) ).
cnf(c_4942,plain,
( index(status,host(X0)) != elec_1
| index(status,host(sK6)) != norm
| sK9(X1,X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6,alive)
| leq(host(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_140,c_157]) ).
cnf(c_4943,plain,
( index(status,host(X0)) != elec_1
| sK9(X1,X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4942,c_141,c_139]) ).
cnf(c_4963,plain,
( index(status,host(X0)) != elec_1
| index(status,host(sK6)) != norm
| ~ setIn(sK9(X1,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6,alive)
| leq(host(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_140,c_158]) ).
cnf(c_4964,plain,
( index(status,host(X0)) != elec_1
| ~ setIn(sK9(X1,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4963,c_141,c_139]) ).
cnf(c_5052,plain,
( ~ elem(m_Down(X0),queue(host(sK4)))
| leq(s(zero),sK9(X0,sK4))
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_150,c_4893]) ).
cnf(c_5075,plain,
( ~ elem(m_Down(X0),queue(host(sK4)))
| ~ leq(host(sK4),sK9(X0,sK4))
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_150,c_4922]) ).
cnf(c_5098,plain,
( sK9(X0,sK4) != host(X0)
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_150,c_4943]) ).
cnf(c_5118,plain,
( ~ setIn(sK9(X0,sK4),index(down,host(sK4)))
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_150,c_4964]) ).
cnf(c_5129,plain,
( ~ elem(m_Down(X0),queue(host(sK4)))
| ~ leq(s(zero),sK9(X0,sK4))
| sK9(X0,sK4) = host(sK5)
| leq(host(sK4),sK9(X0,sK4))
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_151,c_5118]) ).
cnf(c_5147,plain,
( sK9(X0,sK4) = host(sK5)
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),host(sK6)) ),
inference(global_subsumption_just,[status(thm)],[c_5129,c_5052,c_5075,c_5129]) ).
cnf(c_5148,plain,
( ~ elem(m_Down(X0),queue(host(sK4)))
| sK9(X0,sK4) = host(sK5)
| leq(host(sK4),host(sK6)) ),
inference(renaming,[status(thm)],[c_5147]) ).
cnf(c_5156,plain,
( sK9(sK5,sK4) = host(sK5)
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_4739,c_5148]) ).
cnf(c_6271,plain,
( ~ leq(host(sK6),host(sK4))
| sK9(sK5,sK4) = host(sK5)
| host(sK6) = host(sK4) ),
inference(superposition,[status(thm)],[c_5156,c_131]) ).
cnf(c_6354,plain,
( ~ leq(host(sK6),host(sK4))
| sK9(sK5,sK4) = host(sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6271,c_148]) ).
cnf(c_6767,plain,
( s(host(sK4)) = host(sK6)
| leq(host(sK6),host(sK4)) ),
inference(superposition,[status(thm)],[c_4749,c_137]) ).
cnf(c_6960,plain,
( ~ leq(host(sK4),host(sK6))
| s(host(sK4)) = host(sK6)
| host(sK6) = host(sK4) ),
inference(superposition,[status(thm)],[c_6767,c_131]) ).
cnf(c_6964,plain,
( s(host(sK4)) = host(sK6)
| sK9(sK5,sK4) = host(sK5) ),
inference(superposition,[status(thm)],[c_6767,c_6354]) ).
cnf(c_6976,plain,
( ~ leq(host(sK4),host(sK6))
| s(host(sK4)) = host(sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6960,c_148]) ).
cnf(c_7247,plain,
( ~ elem(m_Down(sK5),queue(host(sK4)))
| s(host(sK4)) = host(sK6)
| leq(host(sK4),host(sK6)) ),
inference(superposition,[status(thm)],[c_6964,c_5098]) ).
cnf(c_7254,plain,
( s(host(sK4)) = host(sK6)
| leq(host(sK4),host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7247,c_4739]) ).
cnf(c_7257,plain,
s(host(sK4)) = host(sK6),
inference(global_subsumption_just,[status(thm)],[c_7254,c_6976,c_7254]) ).
cnf(c_7266,plain,
~ leq(host(sK6),host(sK6)),
inference(demodulation,[status(thm)],[c_144,c_7257]) ).
cnf(c_7267,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7266,c_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV459+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 04:52:06 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.92/1.19 % SZS status Started for theBenchmark.p
% 3.92/1.19 % SZS status Theorem for theBenchmark.p
% 3.92/1.19
% 3.92/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.92/1.19
% 3.92/1.19 ------ iProver source info
% 3.92/1.19
% 3.92/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.92/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.92/1.19 git: non_committed_changes: false
% 3.92/1.19 git: last_make_outside_of_git: false
% 3.92/1.19
% 3.92/1.19 ------ Parsing...
% 3.92/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.92/1.19
% 3.92/1.19 ------ 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
% 3.92/1.19
% 3.92/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.92/1.19
% 3.92/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.92/1.19 ------ Proving...
% 3.92/1.19 ------ Problem Properties
% 3.92/1.19
% 3.92/1.19
% 3.92/1.19 clauses 121
% 3.92/1.19 conjectures 35
% 3.92/1.19 EPR 17
% 3.92/1.19 Horn 103
% 3.92/1.19 unary 61
% 3.92/1.19 binary 26
% 3.92/1.19 lits 260
% 3.92/1.19 lits eq 109
% 3.92/1.19 fd_pure 0
% 3.92/1.19 fd_pseudo 0
% 3.92/1.19 fd_cond 1
% 3.92/1.19 fd_pseudo_cond 13
% 3.92/1.19 AC symbols 0
% 3.92/1.19
% 3.92/1.19 ------ Schedule dynamic 5 is on
% 3.92/1.19
% 3.92/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.92/1.19
% 3.92/1.19
% 3.92/1.19 ------
% 3.92/1.19 Current options:
% 3.92/1.19 ------
% 3.92/1.19
% 3.92/1.19
% 3.92/1.19
% 3.92/1.19
% 3.92/1.19 ------ Proving...
% 3.92/1.19
% 3.92/1.19
% 3.92/1.19 % SZS status Theorem for theBenchmark.p
% 3.92/1.19
% 3.92/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.19
% 3.92/1.21
%------------------------------------------------------------------------------