TSTP Solution File: SWV478+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV478+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 22:37:42 EDT 2023
% Result : Theorem 7.96s 1.65s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 135 ( 54 unt; 0 def)
% Number of atoms : 1541 ( 687 equ)
% Maximal formula atoms : 252 ( 11 avg)
% Number of connectives : 2220 ( 814 ~; 688 |; 615 &)
% ( 8 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-2 aty)
% Number of variables : 655 ( 7 sgn; 534 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
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(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
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(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
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,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( leq(host(X4),host(X5))
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4)) )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( setIn(host(X6),index(acks,host(X4)))
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X6) = host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
& elem(m_Down(X17),snoc(queue(host(X19)),m_Ldr(X4)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X15) = s(host(X13))
& elem(m_Down(X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,s(host(X13)))
& setIn(X13,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X15)
& elem(m_Down(X14),queue(host(X13)))
& leq(host(X6),host(X13))
& setIn(X6,alive)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ elem(m_Ack(X6,X15),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X14,X13] :
( ( index(ldr,host(X13)) = host(X14)
& norm = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive)
& ~ leq(host(X14),host(X13)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X13,alive)
& setIn(X6,alive) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( leq(host(X4),host(X5))
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4)) )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( setIn(host(X6),index(acks,host(X4)))
=> ! [X16] :
( host(X4) = host(X16)
=> ! [X17,X18,X19] :
( host(X6) = host(X19)
=> ( host(X4) != host(X19)
=> ( ( elec_1 = index(status,host(X19))
& s(host(X19)) = host(X17)
& elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
& elem(m_Down(X17),snoc(queue(host(X19)),m_Ldr(X4)))
& leq(nbr_proc,s(host(X19)))
& setIn(X19,alive)
& ! [X20] :
( ( leq(s(zero),X20)
& ~ leq(host(X19),X20) )
=> ( host(X18) = X20
| setIn(X20,index(down,host(X19))) ) ) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
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(f79,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f105,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f106,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f116,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
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,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( elec_1 = index(status,host(X12))
& elec_2 = index(status,host(X9))
& host(X12) = host(X10)
& elem(m_Down(X11),queue(host(X12)))
& leq(host(X9),host(X12))
& setIn(X9,alive)
& ! [X13] :
( ( leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) = X13
| setIn(X13,index(down,host(X12))) ) ) )
=> ~ elem(m_Ack(X9,X10),queue(host(X9))) )
& ! [X14,X15,X16] :
( ( host(X15) = host(index(elid,host(X16)))
& wait = index(status,host(X16))
& host(X14) = host(X15)
& elem(m_Down(X14),queue(host(X16)))
& setIn(X16,alive)
& host(X15) != host(X16) )
=> ~ ( host(X15) = index(ldr,host(X15))
& norm = index(status,host(X15))
& setIn(X15,alive) ) )
& ! [X17,X18,X19] :
( ( host(X18) = index(ldr,host(X19))
& norm = index(status,host(X19))
& host(X18) = host(X17)
& elem(m_Down(X17),queue(host(X19)))
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ ( host(X18) = index(ldr,host(X18))
& norm = index(status,host(X18))
& setIn(X18,alive) ) )
& ! [X20,X21,X22,X23] :
( ( host(X23) = host(X22)
& host(X20) = host(X21)
& setIn(X22,alive)
& setIn(X20,alive)
& host(X22) != host(X20) )
=> ~ ( setIn(host(X21),index(down,host(X22)))
& elem(m_Down(X23),queue(host(X20))) ) )
& ! [X24,X25,X26,X27] :
( ( host(X27) = host(X26)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X26) != host(X24) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),queue(host(X24))) ) )
& ! [X28,X29,X30] :
( ( host(X28) = host(X29)
& elem(m_Down(X29),queue(host(X30)))
& setIn(X30,alive)
& ~ leq(host(X29),host(X30)) )
=> ~ ( norm = index(status,host(X28))
& host(X28) = index(ldr,host(X28))
& setIn(X28,alive) ) )
& ! [X31,X32] :
( ( host(X32) = index(ldr,host(X32))
& norm = index(status,host(X32))
& norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31))
& setIn(X32,alive)
& setIn(X31,alive) )
=> X31 = X32 )
& ! [X33,X34,X35] :
( ( host(X35) = index(ldr,host(X35))
& norm = index(status,host(X35))
& host(X35) = host(X34)
& setIn(X35,alive) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) )
& ! [X36,X37,X38] :
( ( elec_2 = index(status,host(X38))
& host(X38) = host(X37)
& elem(m_Down(X37),queue(host(X36)))
& setIn(X38,alive)
& setIn(X36,alive) )
=> leq(index(pendack,host(X38)),host(X36)) )
& ! [X39,X40] :
( ( host(X40) = index(ldr,host(X40))
& norm = index(status,host(X40))
& setIn(X40,alive) )
=> ~ ( setIn(host(X40),index(down,host(X39)))
& setIn(X39,alive) ) )
& ! [X41,X42] :
( ( elec_2 = index(status,host(X42))
& setIn(host(X42),index(down,host(X41)))
& setIn(X42,alive)
& setIn(X41,alive) )
=> leq(index(pendack,host(X42)),host(X41)) )
& ! [X43] :
( ( setIn(X43,alive)
& ( elec_2 = index(status,host(X43))
| elec_1 = index(status,host(X43)) ) )
=> index(elid,host(X43)) = X43 )
& ! [X44,X45] :
( ( host(X44) = host(X45)
& X44 != X45 )
=> ( ~ setIn(X45,alive)
| ~ setIn(X44,alive) ) )
& ! [X46,X47] :
( elem(m_Down(X47),queue(host(X46)))
=> host(X46) != host(X47) )
& ! [X48,X49] :
( elem(m_Ldr(X49),queue(host(X48)))
=> ~ leq(host(X48),host(X49)) ) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( setIn(host(X50),index(acks,host(X2)))
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X50) = host(X54)
=> ( host(X2) != host(X54)
=> ( ( elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
& elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ( leq(s(zero),X55)
& ~ leq(host(X54),X55) )
=> ( host(X53) = X55
| setIn(X55,index(down,host(X54))) ) ) )
=> ~ ( host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f126,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f69]) ).
fof(f140,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
& elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54)
& host(X50) = host(X54) )
& host(X2) = host(X51) )
& setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( host(X2) = host(X51)
& setIn(X51,alive)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
& elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( host(X53) = X55
| setIn(X55,index(down,host(X54)))
| ~ leq(s(zero),X55)
| leq(host(X54),X55) )
& host(X2) != host(X54)
& host(X50) = host(X54) )
& host(X2) = host(X51) )
& setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != s(host(X7))
| ~ elem(m_Down(X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ leq(nbr_proc,s(host(X7)))
| ~ setIn(X7,alive)
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_1 != index(status,host(X12))
| elec_2 != index(status,host(X9))
| host(X12) != host(X10)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(host(X9),host(X12))
| ~ setIn(X9,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| host(X15) != host(index(elid,host(X16)))
| wait != index(status,host(X16))
| host(X14) != host(X15)
| ~ elem(m_Down(X14),queue(host(X16)))
| ~ setIn(X16,alive)
| host(X15) = host(X16) )
& ! [X17,X18,X19] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| host(X18) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X18) != host(X17)
| ~ elem(m_Down(X17),queue(host(X19)))
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22,X23] :
( ~ setIn(host(X21),index(down,host(X22)))
| ~ elem(m_Down(X23),queue(host(X20)))
| host(X23) != host(X22)
| host(X20) != host(X21)
| ~ setIn(X22,alive)
| ~ setIn(X20,alive)
| host(X22) = host(X20) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24)))
| host(X27) != host(X26)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X26) = host(X24) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32] :
( X31 = X32
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive) )
& ! [X33,X34,X35] :
( ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| host(X35) != host(X34)
| ~ setIn(X35,alive) )
& ! [X36,X37,X38] :
( leq(index(pendack,host(X38)),host(X36))
| elec_2 != index(status,host(X38))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X36)))
| ~ setIn(X38,alive)
| ~ setIn(X36,alive) )
& ! [X39,X40] :
( ~ setIn(host(X40),index(down,host(X39)))
| ~ setIn(X39,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( leq(index(pendack,host(X42)),host(X41))
| elec_2 != index(status,host(X42))
| ~ setIn(host(X42),index(down,host(X41)))
| ~ setIn(X42,alive)
| ~ setIn(X41,alive) )
& ! [X43] :
( index(elid,host(X43)) = X43
| ~ setIn(X43,alive)
| ( elec_2 != index(status,host(X43))
& elec_1 != index(status,host(X43)) ) )
& ! [X44,X45] :
( ~ setIn(X45,alive)
| ~ setIn(X44,alive)
| host(X44) != host(X45)
| X44 = X45 )
& ! [X46,X47] :
( host(X46) != host(X47)
| ~ elem(m_Down(X47),queue(host(X46))) )
& ! [X48,X49] :
( ~ leq(host(X48),host(X49))
| ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
inference(flattening,[],[f140]) ).
fof(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(f149,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f149]) ).
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,X6,X7] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X1)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(X1)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X1) != host(X7)
& host(X3) = host(X7) )
& host(X1) = host(X4) )
& setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& host(X2) = index(pendack,host(X1))
& elec_2 = index(status,host(X1))
& leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( host(X1) = host(X4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X1)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(X1)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X1) != host(X7)
& host(X3) = host(X7) )
& host(X1) = host(X4) )
& setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& host(X2) = index(pendack,host(X1))
& elec_2 = index(status,host(X1))
& leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) )
=> ( ? [X3] :
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X3) = host(X7) )
& host(X4) = host(sK4) )
& setIn(host(X3),index(acks,host(sK4))) )
& leq(nbr_proc,index(pendack,host(sK4)))
& index(pendack,host(sK4)) = host(sK5)
& elec_2 = index(status,host(sK4))
& leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X3) = host(X7) )
& host(X4) = host(sK4) )
& setIn(host(X3),index(acks,host(sK4))) )
=> ( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(X4) = host(sK4) )
& setIn(host(sK6),index(acks,host(sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(X4) = host(sK4) )
=> ( ? [X7,X6,X5] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(sK4) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X7,X6,X5] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(X7))
& host(X5) = s(host(X7))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(X7)))
& setIn(X7,alive)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
=> ( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(sK10))
& host(sK8) = s(host(sK10))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(sK10)))
& setIn(sK10,alive)
& ! [X8] :
( host(sK9) = X8
| setIn(X8,index(down,host(sK10)))
| ~ leq(s(zero),X8)
| leq(host(sK10),X8) )
& host(sK4) != host(sK10)
& host(sK6) = host(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X11,X12] :
( ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) != sK11(X11,X12)
& ~ setIn(sK11(X11,X12),index(down,host(X12)))
& leq(s(zero),sK11(X11,X12))
& ~ leq(host(X12),sK11(X11,X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X16,X17] :
( ? [X18] :
( host(X16) != X18
& ~ setIn(X18,index(down,host(X17)))
& leq(s(zero),X18)
& ~ leq(host(X17),X18) )
=> ( host(X16) != sK12(X16,X17)
& ~ setIn(sK12(X16,X17),index(down,host(X17)))
& leq(s(zero),sK12(X16,X17))
& ~ leq(host(X17),sK12(X16,X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& elec_1 = index(status,host(sK10))
& host(sK8) = s(host(sK10))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Down(sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& leq(nbr_proc,s(host(sK10)))
& setIn(sK10,alive)
& ! [X8] :
( host(sK9) = X8
| setIn(X8,index(down,host(sK10)))
| ~ leq(s(zero),X8)
| leq(host(sK10),X8) )
& host(sK4) != host(sK10)
& host(sK6) = host(sK10)
& host(sK4) = host(sK7)
& setIn(host(sK6),index(acks,host(sK4)))
& leq(nbr_proc,index(pendack,host(sK4)))
& index(pendack,host(sK4)) = host(sK5)
& elec_2 = index(status,host(sK4))
& leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X10) != s(host(X12))
| ~ elem(m_Down(X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ leq(nbr_proc,s(host(X12)))
| ~ setIn(X12,alive)
| ( host(X11) != sK11(X11,X12)
& ~ setIn(sK11(X11,X12),index(down,host(X12)))
& leq(s(zero),sK11(X11,X12))
& ~ leq(host(X12),sK11(X11,X12)) ) )
& ! [X14,X15,X16,X17] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| elec_1 != index(status,host(X17))
| elec_2 != index(status,host(X14))
| host(X15) != host(X17)
| ~ elem(m_Down(X16),queue(host(X17)))
| ~ leq(host(X14),host(X17))
| ~ setIn(X14,alive)
| ( host(X16) != sK12(X16,X17)
& ~ setIn(sK12(X16,X17),index(down,host(X17)))
& leq(s(zero),sK12(X16,X17))
& ~ leq(host(X17),sK12(X16,X17)) ) )
& ! [X19,X20,X21] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(index(elid,host(X21)))
| wait != index(status,host(X21))
| host(X19) != host(X20)
| ~ elem(m_Down(X19),queue(host(X21)))
| ~ setIn(X21,alive)
| host(X20) = host(X21) )
& ! [X22,X23,X24] :
( host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X24))
| norm != index(status,host(X24))
| host(X23) != host(X22)
| ~ elem(m_Down(X22),queue(host(X24)))
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27,X28] :
( ~ setIn(host(X26),index(down,host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X29,X30,X31,X32] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) )
& ! [X33,X34,X35] :
( norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive)
| host(X34) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ~ setIn(X35,alive)
| leq(host(X34),host(X35)) )
& ! [X36,X37] :
( X36 = X37
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38,X39,X40] :
( ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X40) != index(ldr,host(X40))
| norm != index(status,host(X40))
| host(X40) != host(X39)
| ~ setIn(X40,alive) )
& ! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) )
& ! [X44,X45] :
( ~ setIn(host(X45),index(down,host(X44)))
| ~ setIn(X44,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ~ setIn(X45,alive) )
& ! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) )
& ! [X48] :
( index(elid,host(X48)) = X48
| ~ setIn(X48,alive)
| ( elec_2 != index(status,host(X48))
& elec_1 != index(status,host(X48)) ) )
& ! [X49,X50] :
( ~ setIn(X50,alive)
| ~ setIn(X49,alive)
| host(X49) != host(X50)
| X49 = X50 )
& ! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) )
& ! [X53,X54] :
( ~ leq(host(X53),host(X54))
| ~ elem(m_Ldr(X54),queue(host(X53))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f170,f176,f175,f174,f173,f172,f171]) ).
fof(f180,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f181,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f183,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f71]) ).
fof(f197,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f79]) ).
fof(f231,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f233,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f261,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f116]) ).
fof(f264,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f270,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f275,plain,
! [X51,X52] :
( host(X51) != host(X52)
| ~ elem(m_Down(X52),queue(host(X51))) ),
inference(cnf_transformation,[],[f177]) ).
fof(f279,plain,
! [X46,X47] :
( leq(index(pendack,host(X47)),host(X46))
| elec_2 != index(status,host(X47))
| ~ setIn(host(X47),index(down,host(X46)))
| ~ setIn(X47,alive)
| ~ setIn(X46,alive) ),
inference(cnf_transformation,[],[f177]) ).
fof(f281,plain,
! [X41,X42,X43] :
( leq(index(pendack,host(X43)),host(X41))
| elec_2 != index(status,host(X43))
| host(X42) != host(X43)
| ~ elem(m_Down(X42),queue(host(X41)))
| ~ setIn(X43,alive)
| ~ setIn(X41,alive) ),
inference(cnf_transformation,[],[f177]) ).
fof(f285,plain,
! [X31,X29,X32,X30] :
( ~ elem(m_Down(X30),queue(host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X32) != host(X31)
| host(X29) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X29) = host(X31) ),
inference(cnf_transformation,[],[f177]) ).
fof(f297,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f177]) ).
fof(f298,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f177]) ).
fof(f300,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f177]) ).
fof(f301,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f177]) ).
fof(f302,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f177]) ).
fof(f304,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f177]) ).
fof(f305,plain,
host(sK6) = host(sK10),
inference(cnf_transformation,[],[f177]) ).
fof(f306,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f177]) ).
fof(f307,plain,
! [X8] :
( host(sK9) = X8
| setIn(X8,index(down,host(sK10)))
| ~ leq(s(zero),X8)
| leq(host(sK10),X8) ),
inference(cnf_transformation,[],[f177]) ).
fof(f308,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f177]) ).
fof(f309,plain,
leq(nbr_proc,s(host(sK10))),
inference(cnf_transformation,[],[f177]) ).
fof(f311,plain,
elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f177]) ).
fof(f312,plain,
host(sK8) = s(host(sK10)),
inference(cnf_transformation,[],[f177]) ).
fof(f322,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f231]) ).
cnf(c_51,plain,
( s(host(X0)) != host(X1)
| host(X0) != host(X1) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_52,plain,
leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f181]) ).
cnf(c_54,plain,
leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f183]) ).
cnf(c_68,plain,
m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f197]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f322]) ).
cnf(c_100,plain,
( ~ elem(X0,snoc(X1,X2))
| X0 = X2
| elem(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_126,plain,
~ leq(s(X0),X0),
inference(cnf_transformation,[],[f261]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_137,plain,
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_142,negated_conjecture,
s(host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f312]) ).
cnf(c_143,negated_conjecture,
elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f311]) ).
cnf(c_145,negated_conjecture,
leq(nbr_proc,s(host(sK10))),
inference(cnf_transformation,[],[f309]) ).
cnf(c_146,negated_conjecture,
setIn(sK10,alive),
inference(cnf_transformation,[],[f308]) ).
cnf(c_147,negated_conjecture,
( ~ leq(s(zero),X0)
| host(sK9) = X0
| setIn(X0,index(down,host(sK10)))
| leq(host(sK10),X0) ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_148,negated_conjecture,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f306]) ).
cnf(c_149,negated_conjecture,
host(sK10) = host(sK6),
inference(cnf_transformation,[],[f305]) ).
cnf(c_150,negated_conjecture,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f304]) ).
cnf(c_152,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f302]) ).
cnf(c_153,negated_conjecture,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f301]) ).
cnf(c_154,negated_conjecture,
index(status,host(sK4)) = elec_2,
inference(cnf_transformation,[],[f300]) ).
cnf(c_156,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f298]) ).
cnf(c_157,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f297]) ).
cnf(c_169,negated_conjecture,
( host(X0) != host(X1)
| host(X2) != host(X3)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X1) = host(X2) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_173,negated_conjecture,
( index(status,host(X1)) != elec_2
| host(X0) != host(X1)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| leq(index(pendack,host(X1)),host(X2)) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_175,negated_conjecture,
( index(status,host(X0)) != elec_2
| ~ setIn(host(X0),index(down,host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X0)),host(X1)) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_179,negated_conjecture,
( host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f275]) ).
cnf(c_1155,plain,
leq(nbr_proc,host(sK8)),
inference(demodulation,[status(thm)],[c_145,c_142]) ).
cnf(c_1164,plain,
leq(nbr_proc,host(sK5)),
inference(demodulation,[status(thm)],[c_152,c_153]) ).
cnf(c_5293,plain,
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(sK7))) ),
inference(superposition,[status(thm)],[c_150,c_179]) ).
cnf(c_5305,plain,
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(sK4))) ),
inference(light_normalisation,[status(thm)],[c_5293,c_150]) ).
cnf(c_5375,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[status(thm)],[c_157,c_96]) ).
cnf(c_5376,plain,
~ leq(host(sK8),host(sK10)),
inference(superposition,[status(thm)],[c_142,c_126]) ).
cnf(c_5409,plain,
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| leq(index(pendack,host(sK4)),host(X0)) ),
inference(superposition,[status(thm)],[c_154,c_175]) ).
cnf(c_5412,plain,
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| leq(host(sK5),host(X0)) ),
inference(light_normalisation,[status(thm)],[c_5409,c_153]) ).
cnf(c_5413,plain,
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(host(sK5),host(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5412,c_156]) ).
cnf(c_5448,plain,
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK4,alive)
| leq(index(pendack,host(sK4)),host(X1)) ),
inference(superposition,[status(thm)],[c_154,c_173]) ).
cnf(c_5451,plain,
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK4,alive)
| leq(host(sK5),host(X1)) ),
inference(light_normalisation,[status(thm)],[c_5448,c_153]) ).
cnf(c_5452,plain,
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| leq(host(sK5),host(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5451,c_156]) ).
cnf(c_5966,plain,
( ~ leq(s(zero),host(sK4))
| ~ setIn(sK10,alive)
| host(sK4) = host(sK9)
| leq(host(sK10),host(sK4))
| leq(host(sK5),host(sK10)) ),
inference(superposition,[status(thm)],[c_147,c_5413]) ).
cnf(c_5972,plain,
( host(sK4) = host(sK9)
| leq(host(sK10),host(sK4))
| leq(host(sK5),host(sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5966,c_146,c_52]) ).
cnf(c_7629,plain,
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(superposition,[status(thm)],[c_54,c_131]) ).
cnf(c_7639,plain,
( ~ leq(host(sK8),nbr_proc)
| host(sK8) = nbr_proc ),
inference(superposition,[status(thm)],[c_1155,c_131]) ).
cnf(c_7640,plain,
( ~ leq(host(sK5),nbr_proc)
| host(sK5) = nbr_proc ),
inference(superposition,[status(thm)],[c_1164,c_131]) ).
cnf(c_7666,plain,
host(sK5) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_7640,c_54]) ).
cnf(c_7667,plain,
host(sK8) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_7639,c_54]) ).
cnf(c_7717,plain,
( host(X0) != host(sK4)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| leq(nbr_proc,host(X1)) ),
inference(demodulation,[status(thm)],[c_5452,c_7666]) ).
cnf(c_7719,plain,
( host(sK4) = host(sK9)
| leq(host(sK10),host(sK4))
| leq(nbr_proc,host(sK10)) ),
inference(demodulation,[status(thm)],[c_5972,c_7666]) ).
cnf(c_7755,plain,
~ leq(nbr_proc,host(sK10)),
inference(demodulation,[status(thm)],[c_5376,c_7667]) ).
cnf(c_7758,plain,
s(host(sK10)) = nbr_proc,
inference(demodulation,[status(thm)],[c_142,c_7667]) ).
cnf(c_7759,plain,
( host(sK4) = host(sK9)
| leq(host(sK10),host(sK4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7719,c_7755]) ).
cnf(c_7959,plain,
( host(sK4) != nbr_proc
| ~ elem(m_Down(sK5),queue(host(sK4))) ),
inference(superposition,[status(thm)],[c_7666,c_5305]) ).
cnf(c_7999,plain,
host(sK4) != nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_7959,c_5375]) ).
cnf(c_9185,plain,
( m_Down(sK9) = m_Ldr(sK4)
| elem(m_Down(sK9),queue(host(sK10))) ),
inference(superposition,[status(thm)],[c_143,c_100]) ).
cnf(c_9190,plain,
elem(m_Down(sK9),queue(host(sK10))),
inference(forward_subsumption_resolution,[status(thm)],[c_9185,c_68]) ).
cnf(c_9234,plain,
( ~ leq(X0,nbr_proc)
| s(host(sK10)) = X0
| leq(X0,host(sK10)) ),
inference(superposition,[status(thm)],[c_7758,c_137]) ).
cnf(c_9244,plain,
( ~ leq(X0,nbr_proc)
| X0 = nbr_proc
| leq(X0,host(sK10)) ),
inference(light_normalisation,[status(thm)],[c_9234,c_7758]) ).
cnf(c_9258,plain,
( host(X0) != host(sK10)
| host(X0) != nbr_proc ),
inference(superposition,[status(thm)],[c_7758,c_51]) ).
cnf(c_23533,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK10)
| host(sK4) = host(sK9) ),
inference(superposition,[status(thm)],[c_7759,c_131]) ).
cnf(c_23552,plain,
( ~ leq(host(sK4),host(sK10))
| host(sK4) = host(sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23533,c_148]) ).
cnf(c_23759,plain,
( ~ leq(host(sK4),nbr_proc)
| host(sK4) = host(sK9)
| host(sK4) = nbr_proc ),
inference(superposition,[status(thm)],[c_9244,c_23552]) ).
cnf(c_23767,plain,
host(sK4) = host(sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_23759,c_7999,c_54]) ).
cnf(c_24460,plain,
( ~ elem(m_Down(sK9),queue(host(X0)))
| ~ setIn(X0,alive)
| leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_23767,c_7717]) ).
cnf(c_24543,plain,
( host(X0) != host(X1)
| host(X2) != host(sK4)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(sK9),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X2,alive)
| host(X0) = host(X2) ),
inference(superposition,[status(thm)],[c_23767,c_169]) ).
cnf(c_27048,plain,
( host(X0) != host(sK10)
| host(X1) != host(sK4)
| ~ elem(m_Down(sK9),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ),
inference(superposition,[status(thm)],[c_149,c_24543]) ).
cnf(c_27098,plain,
( ~ elem(m_Down(sK9),queue(host(X0)))
| host(X0) != host(sK10)
| ~ setIn(X0,alive) ),
inference(global_subsumption_just,[status(thm)],[c_27048,c_7629,c_9258,c_24460]) ).
cnf(c_27099,plain,
( host(X0) != host(sK10)
| ~ elem(m_Down(sK9),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(renaming,[status(thm)],[c_27098]) ).
cnf(c_27111,plain,
( ~ elem(m_Down(sK9),queue(host(sK10)))
| ~ setIn(sK10,alive) ),
inference(equality_resolution,[status(thm)],[c_27099]) ).
cnf(c_27112,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_27111,c_146,c_9190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV478+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.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 10:42:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.96/1.65 % SZS status Started for theBenchmark.p
% 7.96/1.65 % SZS status Theorem for theBenchmark.p
% 7.96/1.65
% 7.96/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.96/1.65
% 7.96/1.65 ------ iProver source info
% 7.96/1.65
% 7.96/1.65 git: date: 2023-05-31 18:12:56 +0000
% 7.96/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.96/1.65 git: non_committed_changes: false
% 7.96/1.65 git: last_make_outside_of_git: false
% 7.96/1.65
% 7.96/1.65 ------ Parsing...
% 7.96/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.96/1.65
% 7.96/1.65 ------ 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
% 7.96/1.65
% 7.96/1.65 ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.96/1.65
% 7.96/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.96/1.65 ------ Proving...
% 7.96/1.65 ------ Problem Properties
% 7.96/1.65
% 7.96/1.65
% 7.96/1.65 clauses 129
% 7.96/1.65 conjectures 40
% 7.96/1.65 EPR 21
% 7.96/1.65 Horn 109
% 7.96/1.65 unary 62
% 7.96/1.65 binary 28
% 7.96/1.65 lits 307
% 7.96/1.65 lits eq 121
% 7.96/1.65 fd_pure 0
% 7.96/1.65 fd_pseudo 0
% 7.96/1.65 fd_cond 1
% 7.96/1.65 fd_pseudo_cond 13
% 7.96/1.65 AC symbols 0
% 7.96/1.65
% 7.96/1.65 ------ Schedule dynamic 5 is on
% 7.96/1.65
% 7.96/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.96/1.65
% 7.96/1.65
% 7.96/1.65 ------
% 7.96/1.65 Current options:
% 7.96/1.65 ------
% 7.96/1.65
% 7.96/1.65
% 7.96/1.65
% 7.96/1.65
% 7.96/1.65 ------ Proving...
% 7.96/1.65
% 7.96/1.65
% 7.96/1.65 % SZS status Theorem for theBenchmark.p
% 7.96/1.65
% 7.96/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.96/1.65
% 7.96/1.66
%------------------------------------------------------------------------------