TSTP Solution File: SWV466+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:17:26 EDT 2024
% Result : Theorem 14.07s 2.63s
% Output : CNFRefutation 14.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X15)
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& 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,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(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,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,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] :
( ( elec_1 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,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_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)
=> ( ( s(index(pendack,host(X19))) = host(X18)
& index(pendack,host(X19)) = host(X17)
& elec_2 = index(status,host(X19))
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Ldr(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X15)
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& 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,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(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,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,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] :
( ( elec_1 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,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_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)
=> ( ( s(index(pendack,host(X19))) = host(X18)
& index(pendack,host(X19)) = host(X17)
& elec_2 = index(status,host(X19))
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Ldr(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( host(X4) = host(X16)
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f71,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f75,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
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(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] :
( ( host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Ack(X7,X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& setIn(X7,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X8,X9,X10,X11] :
( ( elec_1 = index(status,host(X11))
& host(X11) = host(X9)
& nbr_proc = host(X11)
& elem(m_Down(X10),queue(host(X11)))
& ! [X12] :
( ( leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( host(X10) = X12
| setIn(X12,index(down,host(X11))) ) ) )
=> ~ ( elem(m_Down(X9),queue(host(X8)))
& setIn(X8,alive) ) )
& ! [X13,X14,X15] :
( ( elec_2 = index(status,host(X15))
& elem(m_Halt(X15),queue(host(X14)))
& setIn(X15,alive)
& ~ leq(index(pendack,host(X15)),host(X13)) )
=> ~ ( norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X13,alive) ) )
& ! [X16,X17] :
( ( elec_2 = index(status,host(X17))
& elec_2 = index(status,host(X16))
& setIn(X17,alive)
& setIn(X16,alive)
& ~ leq(host(X16),host(X17)) )
=> ~ leq(index(pendack,host(X16)),index(pendack,host(X17))) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& elec_2 = index(status,host(X18))
& host(X19) = host(X20)
& setIn(X20,alive)
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X21,X22] :
( ( elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X21))
& setIn(X22,alive)
& setIn(X21,alive)
& ~ leq(host(X21),host(X22)) )
=> leq(index(pendack,host(X22)),host(X21)) )
& ! [X23,X24,X25] :
( ( host(X23) = host(X24)
& elem(m_Down(X24),queue(host(X25)))
& setIn(X25,alive) )
=> ~ ( norm = index(status,host(X23))
& host(X23) = index(ldr,host(X23))
& setIn(X23,alive) ) )
& ! [X26] :
( ( setIn(X26,alive)
& ( elec_2 = index(status,host(X26))
| elec_1 = index(status,host(X26)) ) )
=> index(elid,host(X26)) = X26 )
& ! [X27,X28] :
( ( elec_1 = index(status,host(X28))
& setIn(X28,alive) )
=> ~ elem(m_Ack(X28,X27),queue(host(X28))) )
& ! [X29,X30] :
( ( elem(m_Ack(X30,X29),queue(host(X30)))
& setIn(X30,alive) )
=> leq(host(X29),index(pendack,host(X30))) )
& ! [X31,X32] :
( ( host(X31) = host(X32)
& X31 != X32 )
=> ( ~ setIn(X32,alive)
| ~ setIn(X31,alive) ) )
& ! [X33,X34,X35] :
( elem(m_Ack(X35,X33),queue(host(X34)))
=> ~ leq(host(X33),host(X35)) )
& ! [X36,X37] :
( elem(m_Halt(X37),queue(host(X36)))
=> ~ leq(host(X36),host(X37)) )
& ! [X38,X39] :
( elem(m_Down(X39),queue(host(X38)))
=> host(X38) != host(X39) )
& ! [X40,X41] :
( elem(m_Ldr(X41),queue(host(X40)))
=> ~ leq(host(X40),host(X41)) ) )
=> ( 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)))
=> ! [X42] :
( setIn(host(X42),index(acks,host(X2)))
=> ! [X43] :
( host(X2) = host(X43)
=> ! [X44,X45,X46] :
( host(X42) = host(X46)
=> ( host(X2) != host(X46)
=> ( ( s(index(pendack,host(X46))) = host(X45)
& index(pendack,host(X46)) = host(X44)
& elec_2 = index(status,host(X46))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X46))))
& setIn(X46,alive) )
=> ~ ( host(X2) = host(X43)
& setIn(X43,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f140,plain,
? [X0,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( host(X2) = host(X43)
& setIn(X43,alive)
& s(index(pendack,host(X46))) = host(X45)
& index(pendack,host(X46)) = host(X44)
& elec_2 = index(status,host(X46))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X46))))
& setIn(X46,alive)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) = host(X43) )
& setIn(host(X42),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)
| host(X6) != s(index(pendack,host(X7)))
| host(X5) != index(pendack,host(X7))
| elec_2 != index(status,host(X7))
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| host(X11) != host(X9)
| nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X15))
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| elec_2 != index(status,host(X17))
| elec_2 != index(status,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X18))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( index(elid,host(X26)) = X26
| ~ setIn(X26,alive)
| ( elec_2 != index(status,host(X26))
& elec_1 != index(status,host(X26)) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| elec_1 != index(status,host(X28))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| host(X31) != host(X32)
| X31 = X32 )
& ! [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] :
( host(X38) != host(X39)
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( host(X2) = host(X43)
& setIn(X43,alive)
& s(index(pendack,host(X46))) = host(X45)
& index(pendack,host(X46)) = host(X44)
& elec_2 = index(status,host(X46))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X46))))
& setIn(X46,alive)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) = host(X43) )
& setIn(host(X42),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)
| host(X6) != s(index(pendack,host(X7)))
| host(X5) != index(pendack,host(X7))
| elec_2 != index(status,host(X7))
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| host(X11) != host(X9)
| nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X15))
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| elec_2 != index(status,host(X17))
| elec_2 != index(status,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X18))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( index(elid,host(X26)) = X26
| ~ setIn(X26,alive)
| ( elec_2 != index(status,host(X26))
& elec_1 != index(status,host(X26)) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| elec_1 != index(status,host(X28))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| host(X31) != host(X32)
| X31 = X32 )
& ! [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] :
( host(X38) != host(X39)
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
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)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(X1)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X1)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& 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)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| 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] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X42) != host(X43)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( host(X1) = host(X4)
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(X1)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X1)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& 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)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| 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] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X42) != host(X43)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) )
=> ( ? [X3] :
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& 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)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| 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] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X42) != host(X43)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X4] :
( ? [X7,X6,X5] :
( host(X4) = host(sK4)
& setIn(X4,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& 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)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& 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)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
& host(X4) = host(sK4) )
=> ( ? [X7,X6,X5] :
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& 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)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(sK4)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& host(X7) != host(sK4)
& host(X7) = host(sK6) )
=> ( host(sK4) = host(sK7)
& setIn(sK7,alive)
& host(sK9) = s(index(pendack,host(sK10)))
& index(pendack,host(sK10)) = host(sK8)
& elec_2 = index(status,host(sK10))
& elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(sK10))))
& setIn(sK10,alive)
& host(sK4) != host(sK10)
& host(sK6) = host(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X14,X15] :
( ? [X16] :
( host(X14) != X16
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) )
=> ( host(X14) != sK11(X14,X15)
& ~ setIn(sK11(X14,X15),index(down,host(X15)))
& leq(s(zero),sK11(X14,X15))
& ~ leq(host(X15),sK11(X14,X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( host(sK4) = host(sK7)
& setIn(sK7,alive)
& host(sK9) = s(index(pendack,host(sK10)))
& index(pendack,host(sK10)) = host(sK8)
& elec_2 = index(status,host(sK10))
& elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(sK10))))
& setIn(sK10,alive)
& 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)
& ! [X8,X9,X10,X11] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| host(X10) != s(index(pendack,host(X11)))
| host(X9) != index(pendack,host(X11))
| elec_2 != index(status,host(X11))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| elec_1 != index(status,host(X15))
| host(X13) != host(X15)
| nbr_proc != host(X15)
| ~ elem(m_Down(X14),queue(host(X15)))
| ( host(X14) != sK11(X14,X15)
& ~ setIn(sK11(X14,X15),index(down,host(X15)))
& leq(s(zero),sK11(X14,X15))
& ~ leq(host(X15),sK11(X14,X15)) ) )
& ! [X17,X18,X19] :
( norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X19))
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| 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] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive)
| host(X28) != host(X27)
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( index(elid,host(X30)) = X30
| ~ setIn(X30,alive)
| ( elec_2 != index(status,host(X30))
& elec_1 != index(status,host(X30)) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| elec_1 != index(status,host(X32))
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| host(X35) != host(X36)
| X35 = X36 )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( host(X42) != host(X43)
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f170,f175,f174,f173,f172,f171]) ).
fof(f182,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f71]) ).
fof(f192,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f75]) ).
fof(f230,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f232,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f263,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(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(f274,plain,
! [X42,X43] :
( host(X42) != host(X43)
| ~ elem(m_Down(X43),queue(host(X42))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f283,plain,
! [X26,X25] :
( leq(index(pendack,host(X26)),host(X25))
| elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f284,plain,
! [X24,X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X22))
| host(X23) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) ),
inference(cnf_transformation,[],[f176]) ).
fof(f285,plain,
! [X21,X20] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| elec_2 != index(status,host(X21))
| elec_2 != index(status,host(X20))
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f292,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f293,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f294,plain,
leq(host(sK4),host(sK5)),
inference(cnf_transformation,[],[f176]) ).
fof(f295,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f176]) ).
fof(f296,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f297,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f176]) ).
fof(f299,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f176]) ).
fof(f301,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f176]) ).
fof(f302,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f303,plain,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f176]) ).
fof(f305,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f176]) ).
fof(f306,plain,
elec_2 = index(status,host(sK10)),
inference(cnf_transformation,[],[f176]) ).
fof(f307,plain,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f176]) ).
fof(f308,plain,
host(sK9) = s(index(pendack,host(sK10))),
inference(cnf_transformation,[],[f176]) ).
fof(f309,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f317,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f230]) ).
cnf(c_54,plain,
leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f182]) ).
cnf(c_64,plain,
m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f192]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f317]) ).
cnf(c_100,plain,
( ~ elem(X0,snoc(X1,X2))
| X0 = X2
| elem(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
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_140,negated_conjecture,
setIn(sK7,alive),
inference(cnf_transformation,[],[f309]) ).
cnf(c_141,negated_conjecture,
s(index(pendack,host(sK10))) = host(sK9),
inference(cnf_transformation,[],[f308]) ).
cnf(c_142,negated_conjecture,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f307]) ).
cnf(c_143,negated_conjecture,
index(status,host(sK10)) = elec_2,
inference(cnf_transformation,[],[f306]) ).
cnf(c_144,negated_conjecture,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f305]) ).
cnf(c_146,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f303]) ).
cnf(c_147,negated_conjecture,
setIn(sK10,alive),
inference(cnf_transformation,[],[f302]) ).
cnf(c_148,negated_conjecture,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f301]) ).
cnf(c_150,negated_conjecture,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f299]) ).
cnf(c_152,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f297]) ).
cnf(c_153,negated_conjecture,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f296]) ).
cnf(c_154,negated_conjecture,
index(status,host(sK4)) = elec_2,
inference(cnf_transformation,[],[f295]) ).
cnf(c_155,negated_conjecture,
leq(host(sK4),host(sK5)),
inference(cnf_transformation,[],[f294]) ).
cnf(c_156,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f293]) ).
cnf(c_157,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f292]) ).
cnf(c_164,negated_conjecture,
( index(status,host(X0)) != elec_2
| index(status,host(X1)) != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(host(X0),host(X1)) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_165,negated_conjecture,
( index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| host(X0) != host(X1)
| ~ elem(m_Ack(X2,X0),queue(host(X2)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_166,negated_conjecture,
( index(status,host(X0)) != elec_2
| index(status,host(X1)) != elec_2
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X0)),host(X1))
| leq(host(X1),host(X0)) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_175,negated_conjecture,
( host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_1075,plain,
leq(nbr_proc,host(sK5)),
inference(demodulation,[status(thm)],[c_152,c_153]) ).
cnf(c_1076,plain,
leq(nbr_proc,s(host(sK8))),
inference(demodulation,[status(thm)],[c_146,c_142]) ).
cnf(c_1086,plain,
s(host(sK8)) = host(sK9),
inference(light_normalisation,[status(thm)],[c_141,c_142]) ).
cnf(c_1087,plain,
leq(nbr_proc,host(sK9)),
inference(demodulation,[status(thm)],[c_1076,c_1086]) ).
cnf(c_2720,plain,
m_Down(sK5) = sP3_iProver_def,
definition ).
cnf(c_2721,plain,
cons(sP3_iProver_def,sK3) = sP4_iProver_def,
definition ).
cnf(c_2722,plain,
host(sK4) = sP5_iProver_def,
definition ).
cnf(c_2723,plain,
queue(sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_2724,plain,
host(sK5) = sP7_iProver_def,
definition ).
cnf(c_2725,plain,
index(status,sP5_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_2726,plain,
index(pendack,sP5_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_2727,plain,
host(sK10) = sP10_iProver_def,
definition ).
cnf(c_2730,plain,
queue(sP10_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_2731,plain,
m_Ldr(sK4) = sP14_iProver_def,
definition ).
cnf(c_2732,plain,
snoc(sP13_iProver_def,sP14_iProver_def) = sP15_iProver_def,
definition ).
cnf(c_2733,plain,
m_Ack(sK10,sK8) = sP16_iProver_def,
definition ).
cnf(c_2734,plain,
index(status,sP10_iProver_def) = sP17_iProver_def,
definition ).
cnf(c_2735,plain,
index(pendack,sP10_iProver_def) = sP18_iProver_def,
definition ).
cnf(c_2736,plain,
host(sK8) = sP19_iProver_def,
definition ).
cnf(c_2737,plain,
host(sK7) = sP20_iProver_def,
definition ).
cnf(c_2739,negated_conjecture,
( host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(demodulation,[status(thm)],[c_175]) ).
cnf(c_2748,negated_conjecture,
( index(status,host(X0)) != elec_2
| index(status,host(X1)) != elec_2
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X0)),host(X1))
| leq(host(X1),host(X0)) ),
inference(demodulation,[status(thm)],[c_166]) ).
cnf(c_2749,negated_conjecture,
( index(status,host(X0)) != elec_2
| index(status,host(X1)) != elec_2
| host(X2) != host(X0)
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) ),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_2750,negated_conjecture,
( index(status,host(X0)) != elec_2
| index(status,host(X1)) != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(host(X0),host(X1)) ),
inference(demodulation,[status(thm)],[c_164]) ).
cnf(c_2759,negated_conjecture,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_157,c_2722,c_2723,c_2720,c_2721]) ).
cnf(c_2760,negated_conjecture,
setIn(sK4,alive),
inference(demodulation,[status(thm)],[c_156]) ).
cnf(c_2761,negated_conjecture,
leq(sP5_iProver_def,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_155,c_2724]) ).
cnf(c_2762,negated_conjecture,
sP8_iProver_def = elec_2,
inference(demodulation,[status(thm)],[c_154,c_2725]) ).
cnf(c_2763,negated_conjecture,
sP9_iProver_def = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_153,c_2726]) ).
cnf(c_2765,negated_conjecture,
sP5_iProver_def != sP10_iProver_def,
inference(demodulation,[status(thm)],[c_148]) ).
cnf(c_2766,negated_conjecture,
setIn(sK10,alive),
inference(demodulation,[status(thm)],[c_147]) ).
cnf(c_2768,negated_conjecture,
elem(sP16_iProver_def,sP15_iProver_def),
inference(demodulation,[status(thm)],[c_144,c_2733]) ).
cnf(c_2769,negated_conjecture,
sP17_iProver_def = elec_2,
inference(demodulation,[status(thm)],[c_143,c_2734]) ).
cnf(c_2770,negated_conjecture,
sP18_iProver_def = sP19_iProver_def,
inference(demodulation,[status(thm)],[c_142,c_2736,c_2735]) ).
cnf(c_2771,negated_conjecture,
setIn(sK7,alive),
inference(demodulation,[status(thm)],[c_140]) ).
cnf(c_2772,negated_conjecture,
sP5_iProver_def = sP20_iProver_def,
inference(demodulation,[status(thm)],[c_150,c_2737]) ).
cnf(c_4918,plain,
host(sK9) = s(sP18_iProver_def),
inference(light_normalisation,[status(thm)],[c_1086,c_2736,c_2770]) ).
cnf(c_4920,plain,
sP8_iProver_def = sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_2769,c_2762]) ).
cnf(c_4925,plain,
leq(nbr_proc,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_1075,c_2724]) ).
cnf(c_4989,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,host(X1)) != sP8_iProver_def
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X0)),host(X1))
| leq(host(X1),host(X0)) ),
inference(light_normalisation,[status(thm)],[c_2748,c_2762]) ).
cnf(c_5014,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,host(X1)) != sP8_iProver_def
| host(X0) != host(X2)
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) ),
inference(light_normalisation,[status(thm)],[c_2749,c_2762]) ).
cnf(c_5027,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,host(X1)) != sP8_iProver_def
| ~ leq(index(pendack,host(X0)),index(pendack,host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(host(X0),host(X1)) ),
inference(light_normalisation,[status(thm)],[c_2750,c_2762]) ).
cnf(c_5083,plain,
elem(sP3_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_2721,c_96]) ).
cnf(c_5101,plain,
( host(X0) != sP5_iProver_def
| ~ elem(m_Down(X0),queue(host(sK4))) ),
inference(superposition,[status(thm)],[c_2722,c_2739]) ).
cnf(c_5114,plain,
( host(X0) != sP5_iProver_def
| ~ elem(m_Down(X0),sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_5101,c_2722,c_2723,c_2759]) ).
cnf(c_5190,plain,
leq(sP7_iProver_def,nbr_proc),
inference(superposition,[status(thm)],[c_2724,c_54]) ).
cnf(c_5302,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,sP10_iProver_def) != sP8_iProver_def
| ~ leq(index(pendack,host(sK10)),index(pendack,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| leq(host(sK10),host(X0)) ),
inference(superposition,[status(thm)],[c_2727,c_5027]) ).
cnf(c_5305,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,sP10_iProver_def) != sP8_iProver_def
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| leq(index(pendack,host(sK10)),host(X0))
| leq(host(X0),host(sK10)) ),
inference(superposition,[status(thm)],[c_2727,c_4989]) ).
cnf(c_5345,plain,
( index(status,host(X0)) != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| leq(host(X0),sP10_iProver_def)
| leq(sP18_iProver_def,host(X0)) ),
inference(light_normalisation,[status(thm)],[c_5305,c_2727,c_2734,c_2735,c_4920]) ).
cnf(c_5346,plain,
( index(status,host(X0)) != sP8_iProver_def
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| leq(host(X0),sP10_iProver_def)
| leq(sP18_iProver_def,host(X0)) ),
inference(equality_resolution_simp,[status(thm)],[c_5345]) ).
cnf(c_5347,plain,
( index(status,host(X0)) != sP8_iProver_def
| ~ setIn(X0,alive)
| leq(host(X0),sP10_iProver_def)
| leq(sP18_iProver_def,host(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5346,c_2766]) ).
cnf(c_5360,plain,
( index(status,host(X0)) != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| ~ leq(sP18_iProver_def,index(pendack,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| leq(sP10_iProver_def,host(X0)) ),
inference(light_normalisation,[status(thm)],[c_5302,c_2727,c_2734,c_2735,c_4920]) ).
cnf(c_5361,plain,
( index(status,host(X0)) != sP8_iProver_def
| ~ leq(sP18_iProver_def,index(pendack,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| leq(sP10_iProver_def,host(X0)) ),
inference(equality_resolution_simp,[status(thm)],[c_5360]) ).
cnf(c_5362,plain,
( index(status,host(X0)) != sP8_iProver_def
| ~ leq(sP18_iProver_def,index(pendack,host(X0)))
| ~ setIn(X0,alive)
| leq(sP10_iProver_def,host(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5361,c_2766]) ).
cnf(c_5618,plain,
( sP5_iProver_def != sP7_iProver_def
| ~ elem(m_Down(sK5),sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_2724,c_5114]) ).
cnf(c_5619,plain,
( sP5_iProver_def != sP7_iProver_def
| ~ elem(sP3_iProver_def,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_5618,c_2720]) ).
cnf(c_5620,plain,
sP5_iProver_def != sP7_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_5619,c_5083]) ).
cnf(c_5674,plain,
index(pendack,sP5_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_2726,c_2763]) ).
cnf(c_5675,plain,
host(sK8) = sP18_iProver_def,
inference(light_normalisation,[status(thm)],[c_2736,c_2770]) ).
cnf(c_5704,plain,
leq(sP18_iProver_def,nbr_proc),
inference(superposition,[status(thm)],[c_5675,c_54]) ).
cnf(c_5847,plain,
host(sK7) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_2737,c_2772]) ).
cnf(c_5865,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,sP5_iProver_def) != sP8_iProver_def
| host(X1) != host(sK7)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK7,alive) ),
inference(superposition,[status(thm)],[c_5847,c_5014]) ).
cnf(c_5912,plain,
( index(status,host(X0)) != sP8_iProver_def
| index(status,sP5_iProver_def) != sP8_iProver_def
| host(X1) != sP5_iProver_def
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(sK7,alive) ),
inference(light_normalisation,[status(thm)],[c_5865,c_5847]) ).
cnf(c_5913,plain,
( index(status,host(X0)) != sP8_iProver_def
| host(X1) != sP5_iProver_def
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5912,c_2771,c_2725]) ).
cnf(c_6100,plain,
index(status,sP10_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_2734,c_4920]) ).
cnf(c_6172,plain,
( index(status,sP5_iProver_def) != sP8_iProver_def
| ~ setIn(sK4,alive)
| leq(host(sK4),sP10_iProver_def)
| leq(sP18_iProver_def,host(sK4)) ),
inference(superposition,[status(thm)],[c_2722,c_5347]) ).
cnf(c_6185,plain,
( index(status,sP5_iProver_def) != sP8_iProver_def
| ~ setIn(sK4,alive)
| leq(sP5_iProver_def,sP10_iProver_def)
| leq(sP18_iProver_def,sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_6172,c_2722]) ).
cnf(c_6186,plain,
( leq(sP5_iProver_def,sP10_iProver_def)
| leq(sP18_iProver_def,sP5_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6185,c_2760,c_2725]) ).
cnf(c_6244,plain,
( index(status,sP5_iProver_def) != sP8_iProver_def
| ~ leq(sP18_iProver_def,index(pendack,host(sK4)))
| ~ setIn(sK4,alive)
| leq(sP10_iProver_def,host(sK4)) ),
inference(superposition,[status(thm)],[c_2722,c_5362]) ).
cnf(c_6261,plain,
( index(status,sP5_iProver_def) != sP8_iProver_def
| ~ setIn(sK4,alive)
| ~ leq(sP18_iProver_def,sP7_iProver_def)
| leq(sP10_iProver_def,sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_6244,c_2722,c_5674]) ).
cnf(c_6262,plain,
( ~ leq(sP18_iProver_def,sP7_iProver_def)
| leq(sP10_iProver_def,sP5_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6261,c_2760,c_2725]) ).
cnf(c_6436,plain,
( index(status,sP10_iProver_def) != sP8_iProver_def
| host(X0) != sP5_iProver_def
| ~ elem(m_Ack(sK10,X0),queue(host(sK10)))
| ~ setIn(sK10,alive) ),
inference(superposition,[status(thm)],[c_2727,c_5913]) ).
cnf(c_6455,plain,
( index(status,sP10_iProver_def) != sP8_iProver_def
| host(X0) != sP5_iProver_def
| ~ elem(m_Ack(sK10,X0),sP13_iProver_def)
| ~ setIn(sK10,alive) ),
inference(light_normalisation,[status(thm)],[c_6436,c_2727,c_2730]) ).
cnf(c_6456,plain,
( host(X0) != sP5_iProver_def
| ~ elem(m_Ack(sK10,X0),sP13_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6455,c_2766,c_6100]) ).
cnf(c_6477,plain,
( sP5_iProver_def != sP18_iProver_def
| ~ elem(m_Ack(sK10,sK8),sP13_iProver_def) ),
inference(superposition,[status(thm)],[c_5675,c_6456]) ).
cnf(c_6480,plain,
( sP5_iProver_def != sP18_iProver_def
| ~ elem(sP16_iProver_def,sP13_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_6477,c_2733]) ).
cnf(c_6667,plain,
m_Ldr(X0) != sP16_iProver_def,
inference(superposition,[status(thm)],[c_2733,c_64]) ).
cnf(c_6750,plain,
sP14_iProver_def != sP16_iProver_def,
inference(superposition,[status(thm)],[c_2731,c_6667]) ).
cnf(c_7979,plain,
( ~ leq(host(sK9),nbr_proc)
| host(sK9) = nbr_proc ),
inference(superposition,[status(thm)],[c_1087,c_131]) ).
cnf(c_7987,plain,
( ~ leq(nbr_proc,sP7_iProver_def)
| nbr_proc = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_5190,c_131]) ).
cnf(c_8031,plain,
nbr_proc = sP7_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_7987,c_4925]) ).
cnf(c_8045,plain,
host(sK9) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_7979,c_54]) ).
cnf(c_8106,plain,
leq(sP18_iProver_def,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_5704,c_8031]) ).
cnf(c_8156,plain,
leq(sP10_iProver_def,sP5_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_6262,c_8106]) ).
cnf(c_8175,plain,
s(sP18_iProver_def) = nbr_proc,
inference(demodulation,[status(thm)],[c_4918,c_8045]) ).
cnf(c_8321,plain,
( ~ leq(sP5_iProver_def,sP10_iProver_def)
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_8156,c_131]) ).
cnf(c_8326,plain,
~ leq(sP5_iProver_def,sP10_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_8321,c_2765]) ).
cnf(c_8329,plain,
leq(sP18_iProver_def,sP5_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_6186,c_8326]) ).
cnf(c_8335,plain,
( ~ leq(sP5_iProver_def,sP18_iProver_def)
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_8329,c_131]) ).
cnf(c_8510,plain,
( ~ elem(X0,sP15_iProver_def)
| X0 = sP14_iProver_def
| elem(X0,sP13_iProver_def) ),
inference(superposition,[status(thm)],[c_2732,c_100]) ).
cnf(c_8648,plain,
s(sP18_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_8175,c_8031]) ).
cnf(c_8649,plain,
( ~ leq(X0,sP7_iProver_def)
| s(sP18_iProver_def) = X0
| leq(X0,sP18_iProver_def) ),
inference(superposition,[status(thm)],[c_8648,c_137]) ).
cnf(c_8669,plain,
( ~ leq(X0,sP7_iProver_def)
| X0 = sP7_iProver_def
| leq(X0,sP18_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_8649,c_8648]) ).
cnf(c_38352,plain,
( sP5_iProver_def = sP7_iProver_def
| leq(sP5_iProver_def,sP18_iProver_def) ),
inference(superposition,[status(thm)],[c_2761,c_8669]) ).
cnf(c_38403,plain,
leq(sP5_iProver_def,sP18_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_38352,c_5620]) ).
cnf(c_38479,plain,
sP5_iProver_def = sP18_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_8335,c_38403]) ).
cnf(c_38485,plain,
~ elem(sP16_iProver_def,sP13_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_6480,c_38479]) ).
cnf(c_52459,plain,
( sP14_iProver_def = sP16_iProver_def
| elem(sP16_iProver_def,sP13_iProver_def) ),
inference(superposition,[status(thm)],[c_2768,c_8510]) ).
cnf(c_52465,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_52459,c_38485,c_6750]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 00:30:13 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.07/2.63 % SZS status Started for theBenchmark.p
% 14.07/2.63 % SZS status Theorem for theBenchmark.p
% 14.07/2.63
% 14.07/2.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.07/2.63
% 14.07/2.63 ------ iProver source info
% 14.07/2.63
% 14.07/2.63 git: date: 2024-05-02 19:28:25 +0000
% 14.07/2.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.07/2.63 git: non_committed_changes: false
% 14.07/2.63
% 14.07/2.63 ------ Parsing...
% 14.07/2.63 ------ Clausification by vclausify_rel & Parsing by iProver...
% 14.07/2.63
% 14.07/2.63 ------ Preprocessing... sup_sim: 7 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
% 14.07/2.63
% 14.07/2.63 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.07/2.63
% 14.07/2.63 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.07/2.63 ------ Proving...
% 14.07/2.63 ------ Problem Properties
% 14.07/2.63
% 14.07/2.63
% 14.07/2.63 clauses 144
% 14.07/2.63 conjectures 35
% 14.07/2.63 EPR 29
% 14.07/2.63 Horn 127
% 14.07/2.63 unary 82
% 14.07/2.63 binary 27
% 14.07/2.63 lits 287
% 14.07/2.63 lits eq 129
% 14.07/2.63 fd_pure 0
% 14.07/2.63 fd_pseudo 0
% 14.07/2.63 fd_cond 0
% 14.07/2.63 fd_pseudo_cond 12
% 14.07/2.63 AC symbols 0
% 14.07/2.63
% 14.07/2.63 ------ Schedule dynamic 5 is on
% 14.07/2.63
% 14.07/2.63 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
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% 14.07/2.63
% 14.07/2.63 ------
% 14.07/2.63 Current options:
% 14.07/2.63 ------
% 14.07/2.63
% 14.07/2.63
% 14.07/2.63
% 14.07/2.63
% 14.07/2.63 ------ Proving...
% 14.07/2.63
% 14.07/2.63
% 14.07/2.63 % SZS status Theorem for theBenchmark.p
% 14.07/2.63
% 14.07/2.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 14.07/2.64
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