TSTP Solution File: SWV462+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV462+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 24.05s 4.23s
% Output : CNFRefutation 24.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
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(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
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] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& host(X6) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Down(X14),queue(host(X13)))
& elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) ) )
& ! [X5,X6,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X6)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X5)) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X5))
& setIn(X6,alive)
& setIn(X5,alive)
& ~ leq(host(X5),host(X6)) )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X5))
& host(X6) = host(X13)
& setIn(X13,alive)
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X5))
& setIn(X6,alive)
& setIn(X5,alive)
& ~ leq(host(X5),host(X6)) )
=> leq(index(pendack,host(X6)),host(X5)) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( elec_1 = index(status,host(X6))
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5,X6] :
( ( elem(m_Ack(X6,X5),queue(host(X6)))
& setIn(X6,alive) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6,X13] :
( elem(m_Ack(X13,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X13)) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X5) != host(X12)
=> ! [X6,X16,X17] :
( host(X4) = host(X17)
=> ( host(X12) != host(X17)
=> ( ( s(index(pendack,host(X17))) = host(X16)
& host(X6) = index(pendack,host(X17))
& elec_2 = index(status,host(X17))
& elem(m_Ack(X17,X6),snoc(queue(host(X17)),m_Ack(X4,X12)))
& elem(m_Down(X16),snoc(queue(host(X17)),m_Ack(X4,X12)))
& leq(nbr_proc,s(index(pendack,host(X17))))
& setIn(X17,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& host(X6) = index(pendack,host(X13))
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Down(X14),queue(host(X13)))
& elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) ) )
& ! [X5,X6,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X6)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X5)) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X5))
& setIn(X6,alive)
& setIn(X5,alive)
& ~ leq(host(X5),host(X6)) )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X5))
& host(X6) = host(X13)
& setIn(X13,alive)
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6,X13] :
( ( host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) )
& ! [X5,X6] :
( ( elec_2 = index(status,host(X6))
& elec_2 = index(status,host(X5))
& setIn(X6,alive)
& setIn(X5,alive)
& ~ leq(host(X5),host(X6)) )
=> leq(index(pendack,host(X6)),host(X5)) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( elec_1 = index(status,host(X6))
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5,X6] :
( ( elem(m_Ack(X6,X5),queue(host(X6)))
& setIn(X6,alive) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6,X13] :
( elem(m_Ack(X13,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X13)) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X5) != host(X12)
=> ! [X6,X16,X17] :
( host(X4) = host(X17)
=> ( host(X12) != host(X17)
=> ( ( s(index(pendack,host(X17))) = host(X16)
& host(X6) = index(pendack,host(X17))
& elec_2 = index(status,host(X17))
& elem(m_Ack(X17,X6),snoc(queue(host(X17)),m_Ack(X4,X12)))
& elem(m_Down(X16),snoc(queue(host(X17)),m_Ack(X4,X12)))
& leq(nbr_proc,s(index(pendack,host(X17))))
& setIn(X17,alive) )
=> ~ ( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f71,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f73,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
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(f118,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f119,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f122,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f124,plain,
~ ! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ( host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Down(X5),queue(host(X6)))
& elem(m_Ack(X6,X4),queue(host(X6)))
& setIn(X6,alive) )
=> ~ ( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive) ) )
& ! [X7,X8,X9,X10] :
( ( elec_1 = index(status,host(X10))
& nbr_proc = host(X10)
& host(X10) = host(X8)
& elem(m_Down(X9),queue(host(X10)))
& ! [X11] :
( ( leq(s(zero),X11)
& ~ leq(host(X10),X11) )
=> ( host(X9) = X11
| setIn(X11,index(down,host(X10))) ) ) )
=> ~ ( elem(m_Down(X8),queue(host(X7)))
& setIn(X7,alive) ) )
& ! [X12,X13,X14] :
( ( elec_2 = index(status,host(X14))
& elem(m_Halt(X14),queue(host(X13)))
& setIn(X14,alive)
& ~ leq(index(pendack,host(X14)),host(X12)) )
=> ~ ( norm = index(status,host(X12))
& host(X12) = index(ldr,host(X12))
& setIn(X12,alive) ) )
& ! [X15,X16] :
( ( elec_2 = index(status,host(X16))
& elec_2 = index(status,host(X15))
& setIn(X16,alive)
& setIn(X15,alive)
& ~ leq(host(X15),host(X16)) )
=> ~ leq(index(pendack,host(X15)),index(pendack,host(X16))) )
& ! [X17,X18,X19] :
( ( elec_2 = index(status,host(X19))
& elec_2 = index(status,host(X17))
& host(X19) = host(X18)
& setIn(X19,alive)
& setIn(X17,alive) )
=> ~ elem(m_Ack(X17,X18),queue(host(X17))) )
& ! [X20,X21,X22] :
( ( host(X20) = host(X21)
& elem(m_Down(X21),queue(host(X22)))
& setIn(X22,alive) )
=> ~ ( norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20))
& setIn(X20,alive) ) )
& ! [X23,X24] :
( ( elec_2 = index(status,host(X24))
& elec_2 = index(status,host(X23))
& setIn(X24,alive)
& setIn(X23,alive)
& ~ leq(host(X23),host(X24)) )
=> leq(index(pendack,host(X24)),host(X23)) )
& ! [X25] :
( ( setIn(X25,alive)
& ( elec_2 = index(status,host(X25))
| elec_1 = index(status,host(X25)) ) )
=> index(elid,host(X25)) = X25 )
& ! [X26,X27] :
( ( elec_1 = index(status,host(X27))
& setIn(X27,alive) )
=> ~ elem(m_Ack(X27,X26),queue(host(X27))) )
& ! [X28,X29] :
( ( elem(m_Ack(X29,X28),queue(host(X29)))
& setIn(X29,alive) )
=> leq(host(X28),index(pendack,host(X29))) )
& ! [X30,X31] :
( ( host(X30) = host(X31)
& X30 != X31 )
=> ( ~ setIn(X31,alive)
| ~ setIn(X30,alive) ) )
& ! [X32,X33,X34] :
( elem(m_Ack(X34,X32),queue(host(X33)))
=> ~ leq(host(X32),host(X34)) )
& ! [X35,X36] :
( elem(m_Halt(X36),queue(host(X35)))
=> ~ leq(host(X35),host(X36)) )
& ! [X37,X38] :
( elem(m_Down(X38),queue(host(X37)))
=> host(X37) != host(X38) )
& ! [X39,X40] :
( elem(m_Ldr(X40),queue(host(X39)))
=> ~ leq(host(X39),host(X40)) ) )
=> ( setIn(X1,alive)
=> ! [X41] :
( host(X1) != host(X41)
=> ! [X42,X43,X44] :
( host(X2) = host(X44)
=> ( host(X1) != host(X44)
=> ( ( s(index(pendack,host(X44))) = host(X43)
& index(pendack,host(X44)) = host(X42)
& elec_2 = index(status,host(X44))
& elem(m_Ack(X44,X42),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elem(m_Down(X43),snoc(queue(host(X44)),m_Ack(X2,X1)))
& leq(nbr_proc,s(index(pendack,host(X44))))
& setIn(X44,alive) )
=> ~ ( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f126,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f69]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f92]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f93]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
? [X0,X1,X2] :
( ? [X41] :
( ? [X42,X43,X44] :
( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive)
& s(index(pendack,host(X44))) = host(X43)
& index(pendack,host(X44)) = host(X42)
& elec_2 = index(status,host(X44))
& elem(m_Ack(X44,X42),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elem(m_Down(X43),snoc(queue(host(X44)),m_Ack(X2,X1)))
& leq(nbr_proc,s(index(pendack,host(X44))))
& setIn(X44,alive)
& host(X1) != host(X44)
& host(X2) = host(X44) )
& host(X1) != host(X41) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( norm != index(status,host(X3))
| host(X3) != index(ldr,host(X3))
| ~ setIn(X3,alive)
| host(X5) != s(index(pendack,host(X6)))
| host(X4) != index(pendack,host(X6))
| elec_2 != index(status,host(X6))
| ~ leq(nbr_proc,s(index(pendack,host(X6))))
| ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive) )
& ! [X7,X8,X9,X10] :
( ~ elem(m_Down(X8),queue(host(X7)))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X10))
| nbr_proc != host(X10)
| host(X10) != host(X8)
| ~ elem(m_Down(X9),queue(host(X10)))
| ? [X11] :
( host(X9) != X11
& ~ setIn(X11,index(down,host(X10)))
& leq(s(zero),X11)
& ~ leq(host(X10),X11) ) )
& ! [X12,X13,X14] :
( norm != index(status,host(X12))
| host(X12) != index(ldr,host(X12))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X14))
| ~ elem(m_Halt(X14),queue(host(X13)))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X12)) )
& ! [X15,X16] :
( ~ leq(index(pendack,host(X15)),index(pendack,host(X16)))
| elec_2 != index(status,host(X16))
| elec_2 != index(status,host(X15))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive)
| leq(host(X15),host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Ack(X17,X18),queue(host(X17)))
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X17))
| host(X19) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(X21)
| ~ elem(m_Down(X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) ) )
& ! [X26,X27] :
( ~ elem(m_Ack(X27,X26),queue(host(X27)))
| elec_1 != index(status,host(X27))
| ~ setIn(X27,alive) )
& ! [X28,X29] :
( leq(host(X28),index(pendack,host(X29)))
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| host(X30) != host(X31)
| X30 = X31 )
& ! [X32,X33,X34] :
( ~ leq(host(X32),host(X34))
| ~ elem(m_Ack(X34,X32),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Halt(X36),queue(host(X35))) )
& ! [X37,X38] :
( host(X37) != host(X38)
| ~ elem(m_Down(X38),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Ldr(X40),queue(host(X39))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X1,X2] :
( ? [X41] :
( ? [X42,X43,X44] :
( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive)
& s(index(pendack,host(X44))) = host(X43)
& index(pendack,host(X44)) = host(X42)
& elec_2 = index(status,host(X44))
& elem(m_Ack(X44,X42),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elem(m_Down(X43),snoc(queue(host(X44)),m_Ack(X2,X1)))
& leq(nbr_proc,s(index(pendack,host(X44))))
& setIn(X44,alive)
& host(X1) != host(X44)
& host(X2) = host(X44) )
& host(X1) != host(X41) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( norm != index(status,host(X3))
| host(X3) != index(ldr,host(X3))
| ~ setIn(X3,alive)
| host(X5) != s(index(pendack,host(X6)))
| host(X4) != index(pendack,host(X6))
| elec_2 != index(status,host(X6))
| ~ leq(nbr_proc,s(index(pendack,host(X6))))
| ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive) )
& ! [X7,X8,X9,X10] :
( ~ elem(m_Down(X8),queue(host(X7)))
| ~ setIn(X7,alive)
| elec_1 != index(status,host(X10))
| nbr_proc != host(X10)
| host(X10) != host(X8)
| ~ elem(m_Down(X9),queue(host(X10)))
| ? [X11] :
( host(X9) != X11
& ~ setIn(X11,index(down,host(X10)))
& leq(s(zero),X11)
& ~ leq(host(X10),X11) ) )
& ! [X12,X13,X14] :
( norm != index(status,host(X12))
| host(X12) != index(ldr,host(X12))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X14))
| ~ elem(m_Halt(X14),queue(host(X13)))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X12)) )
& ! [X15,X16] :
( ~ leq(index(pendack,host(X15)),index(pendack,host(X16)))
| elec_2 != index(status,host(X16))
| elec_2 != index(status,host(X15))
| ~ setIn(X16,alive)
| ~ setIn(X15,alive)
| leq(host(X15),host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Ack(X17,X18),queue(host(X17)))
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X17))
| host(X19) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive) )
& ! [X20,X21,X22] :
( norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive)
| host(X20) != host(X21)
| ~ elem(m_Down(X21),queue(host(X22)))
| ~ setIn(X22,alive) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) ) )
& ! [X26,X27] :
( ~ elem(m_Ack(X27,X26),queue(host(X27)))
| elec_1 != index(status,host(X27))
| ~ setIn(X27,alive) )
& ! [X28,X29] :
( leq(host(X28),index(pendack,host(X29)))
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30,X31] :
( ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| host(X30) != host(X31)
| X30 = X31 )
& ! [X32,X33,X34] :
( ~ leq(host(X32),host(X34))
| ~ elem(m_Ack(X34,X32),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Halt(X36),queue(host(X35))) )
& ! [X37,X38] :
( host(X37) != host(X38)
| ~ elem(m_Down(X38),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Ldr(X40),queue(host(X39))) ) ),
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] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(X2,X1)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& setIn(X6,alive)
& host(X1) != host(X6)
& host(X2) = host(X6) )
& host(X3) != host(X1) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(X2,X1)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& setIn(X6,alive)
& host(X1) != host(X6)
& host(X2) = host(X6) )
& host(X3) != host(X1) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) )
=> ( ? [X3] :
( ? [X6,X5,X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& setIn(X6,alive)
& host(X6) != host(sK4)
& host(X6) = host(sK5) )
& host(X3) != host(sK4) )
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Halt(sK5),sK3)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X6,X5,X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& setIn(X6,alive)
& host(X6) != host(sK4)
& host(X6) = host(sK5) )
& host(X3) != host(sK4) )
=> ( ? [X6,X5,X4] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& setIn(X6,alive)
& host(X6) != host(sK4)
& host(X6) = host(sK5) )
& host(sK4) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X6,X5,X4] :
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& host(X5) = s(index(pendack,host(X6)))
& host(X4) = index(pendack,host(X6))
& elec_2 = index(status,host(X6))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK5,sK4)))
& leq(nbr_proc,s(index(pendack,host(X6))))
& setIn(X6,alive)
& host(X6) != host(sK4)
& host(X6) = host(sK5) )
=> ( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& host(sK8) = s(index(pendack,host(sK9)))
& index(pendack,host(sK9)) = host(sK7)
& elec_2 = index(status,host(sK9))
& elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Ack(sK5,sK4)))
& elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ack(sK5,sK4)))
& leq(nbr_proc,s(index(pendack,host(sK9))))
& setIn(sK9,alive)
& host(sK4) != host(sK9)
& host(sK5) = host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X13,X14] :
( ? [X15] :
( host(X13) != X15
& ~ setIn(X15,index(down,host(X14)))
& leq(s(zero),X15)
& ~ leq(host(X14),X15) )
=> ( host(X13) != sK10(X13,X14)
& ~ setIn(sK10(X13,X14),index(down,host(X14)))
& leq(s(zero),sK10(X13,X14))
& ~ leq(host(X14),sK10(X13,X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( norm = index(status,host(sK6))
& host(sK6) = index(ldr,host(sK6))
& setIn(sK6,alive)
& host(sK8) = s(index(pendack,host(sK9)))
& index(pendack,host(sK9)) = host(sK7)
& elec_2 = index(status,host(sK9))
& elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Ack(sK5,sK4)))
& elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ack(sK5,sK4)))
& leq(nbr_proc,s(index(pendack,host(sK9))))
& setIn(sK9,alive)
& host(sK4) != host(sK9)
& host(sK5) = host(sK9)
& host(sK4) != host(sK6)
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Halt(sK5),sK3)
& ! [X7,X8,X9,X10] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12,X13,X14] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X11,alive)
| elec_1 != index(status,host(X14))
| nbr_proc != host(X14)
| host(X14) != host(X12)
| ~ elem(m_Down(X13),queue(host(X14)))
| ( host(X13) != sK10(X13,X14)
& ~ setIn(sK10(X13,X14),index(down,host(X14)))
& leq(s(zero),sK10(X13,X14))
& ~ leq(host(X14),sK10(X13,X14)) ) )
& ! [X16,X17,X18] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) )
& ! [X19,X20] :
( ~ leq(index(pendack,host(X19)),index(pendack,host(X20)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X19))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X22) != host(X23)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29] :
( index(elid,host(X29)) = X29
| ~ setIn(X29,alive)
| ( elec_2 != index(status,host(X29))
& elec_1 != index(status,host(X29)) ) )
& ! [X30,X31] :
( ~ elem(m_Ack(X31,X30),queue(host(X31)))
| elec_1 != index(status,host(X31))
| ~ setIn(X31,alive) )
& ! [X32,X33] :
( leq(host(X32),index(pendack,host(X33)))
| ~ elem(m_Ack(X33,X32),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| host(X34) != host(X35)
| X34 = X35 )
& ! [X36,X37,X38] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) )
& ! [X39,X40] :
( ~ leq(host(X39),host(X40))
| ~ elem(m_Halt(X40),queue(host(X39))) )
& ! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f170,f174,f173,f172,f171]) ).
fof(f178,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f181,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f71]) ).
fof(f189,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f73]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f128]) ).
fof(f229,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f231,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f261,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f262,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f265,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f268,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f273,plain,
! [X41,X42] :
( host(X41) != host(X42)
| ~ elem(m_Down(X42),queue(host(X41))) ),
inference(cnf_transformation,[],[f175]) ).
fof(f275,plain,
! [X38,X36,X37] :
( ~ leq(host(X36),host(X38))
| ~ elem(m_Ack(X38,X36),queue(host(X37))) ),
inference(cnf_transformation,[],[f175]) ).
fof(f282,plain,
! [X26,X24,X25] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive) ),
inference(cnf_transformation,[],[f175]) ).
fof(f285,plain,
! [X18,X16,X17] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| elec_2 != index(status,host(X18))
| ~ elem(m_Halt(X18),queue(host(X17)))
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X16)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f290,plain,
! [X10,X8,X9,X7] :
( norm != index(status,host(X7))
| host(X7) != index(ldr,host(X7))
| ~ setIn(X7,alive)
| host(X9) != s(index(pendack,host(X10)))
| host(X8) != index(pendack,host(X10))
| elec_2 != index(status,host(X10))
| ~ leq(nbr_proc,s(index(pendack,host(X10))))
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Ack(X10,X8),queue(host(X10)))
| ~ setIn(X10,alive) ),
inference(cnf_transformation,[],[f175]) ).
fof(f291,plain,
queue(host(sK4)) = cons(m_Halt(sK5),sK3),
inference(cnf_transformation,[],[f175]) ).
fof(f293,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f175]) ).
fof(f294,plain,
host(sK5) = host(sK9),
inference(cnf_transformation,[],[f175]) ).
fof(f296,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f175]) ).
fof(f297,plain,
leq(nbr_proc,s(index(pendack,host(sK9)))),
inference(cnf_transformation,[],[f175]) ).
fof(f298,plain,
elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f175]) ).
fof(f299,plain,
elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f175]) ).
fof(f300,plain,
elec_2 = index(status,host(sK9)),
inference(cnf_transformation,[],[f175]) ).
fof(f301,plain,
index(pendack,host(sK9)) = host(sK7),
inference(cnf_transformation,[],[f175]) ).
fof(f302,plain,
host(sK8) = s(index(pendack,host(sK9))),
inference(cnf_transformation,[],[f175]) ).
fof(f303,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f175]) ).
fof(f304,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f175]) ).
fof(f305,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f175]) ).
fof(f312,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f229]) ).
cnf(c_51,plain,
( s(host(X0)) != host(X1)
| host(X0) != host(X1) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_54,plain,
leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f181]) ).
cnf(c_62,plain,
m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f189]) ).
cnf(c_81,plain,
( m_Ack(X0,X1) != m_Ack(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_82,plain,
( m_Ack(X0,X1) != m_Ack(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f312]) ).
cnf(c_100,plain,
( ~ elem(X0,snoc(X1,X2))
| X0 = X2
| elem(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_128,plain,
( leq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_132,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X0)
| leq(X2,X1) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_137,plain,
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_139,negated_conjecture,
index(status,host(sK6)) = norm,
inference(cnf_transformation,[],[f305]) ).
cnf(c_140,negated_conjecture,
index(ldr,host(sK6)) = host(sK6),
inference(cnf_transformation,[],[f304]) ).
cnf(c_141,negated_conjecture,
setIn(sK6,alive),
inference(cnf_transformation,[],[f303]) ).
cnf(c_142,negated_conjecture,
s(index(pendack,host(sK9))) = host(sK8),
inference(cnf_transformation,[],[f302]) ).
cnf(c_143,negated_conjecture,
index(pendack,host(sK9)) = host(sK7),
inference(cnf_transformation,[],[f301]) ).
cnf(c_144,negated_conjecture,
index(status,host(sK9)) = elec_2,
inference(cnf_transformation,[],[f300]) ).
cnf(c_145,negated_conjecture,
elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f299]) ).
cnf(c_146,negated_conjecture,
elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f298]) ).
cnf(c_147,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK9)))),
inference(cnf_transformation,[],[f297]) ).
cnf(c_148,negated_conjecture,
setIn(sK9,alive),
inference(cnf_transformation,[],[f296]) ).
cnf(c_150,negated_conjecture,
host(sK9) = host(sK5),
inference(cnf_transformation,[],[f294]) ).
cnf(c_151,negated_conjecture,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f293]) ).
cnf(c_153,negated_conjecture,
cons(m_Halt(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f291]) ).
cnf(c_154,negated_conjecture,
( s(index(pendack,host(X1))) != host(X2)
| index(status,host(X0)) != norm
| index(status,host(X1)) != elec_2
| index(ldr,host(X0)) != host(X0)
| index(pendack,host(X1)) != host(X3)
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| ~ leq(nbr_proc,s(index(pendack,host(X1))))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_159,negated_conjecture,
( index(status,host(X0)) != norm
| index(status,host(X1)) != elec_2
| index(ldr,host(X0)) != host(X0)
| ~ elem(m_Halt(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(X0)) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_162,negated_conjecture,
( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X2,alive) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_169,negated_conjecture,
( ~ elem(m_Ack(X0,X1),queue(host(X2)))
| ~ leq(host(X1),host(X0)) ),
inference(cnf_transformation,[],[f275]) ).
cnf(c_171,negated_conjecture,
( host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_1060,plain,
leq(nbr_proc,s(host(sK7))),
inference(demodulation,[status(thm)],[c_147,c_143]) ).
cnf(c_1070,plain,
s(host(sK7)) = host(sK8),
inference(light_normalisation,[status(thm)],[c_142,c_143]) ).
cnf(c_1071,plain,
leq(nbr_proc,host(sK8)),
inference(demodulation,[status(thm)],[c_1060,c_1070]) ).
cnf(c_2688,negated_conjecture,
( ~ setIn(X0,alive)
| index(ldr,host(X0)) != host(X0)
| index(status,host(X0)) != norm
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_154]) ).
cnf(c_2689,negated_conjecture,
( ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X0,alive)
| index(pendack,host(X0)) != host(X1)
| index(status,host(X0)) != elec_2
| s(index(pendack,host(X0))) != host(X2)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_154]) ).
cnf(c_2690,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_154]) ).
cnf(c_2692,plain,
m_Halt(sK5) = sP3_iProver_def,
definition ).
cnf(c_2693,plain,
cons(sP3_iProver_def,sK3) = sP4_iProver_def,
definition ).
cnf(c_2694,plain,
host(sK4) = sP5_iProver_def,
definition ).
cnf(c_2695,plain,
queue(sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_2696,plain,
host(sK6) = sP7_iProver_def,
definition ).
cnf(c_2697,plain,
host(sK9) = sP8_iProver_def,
definition ).
cnf(c_2698,plain,
host(sK5) = sP9_iProver_def,
definition ).
cnf(c_2699,plain,
m_Down(sK8) = sP10_iProver_def,
definition ).
cnf(c_2700,plain,
queue(sP8_iProver_def) = sP11_iProver_def,
definition ).
cnf(c_2701,plain,
m_Ack(sK5,sK4) = sP12_iProver_def,
definition ).
cnf(c_2702,plain,
snoc(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_2703,plain,
m_Ack(sK9,sK7) = sP14_iProver_def,
definition ).
cnf(c_2704,plain,
index(status,sP8_iProver_def) = sP15_iProver_def,
definition ).
cnf(c_2705,plain,
index(pendack,sP8_iProver_def) = sP16_iProver_def,
definition ).
cnf(c_2706,plain,
host(sK7) = sP17_iProver_def,
definition ).
cnf(c_2707,plain,
index(ldr,sP7_iProver_def) = sP18_iProver_def,
definition ).
cnf(c_2708,plain,
index(status,sP7_iProver_def) = sP19_iProver_def,
definition ).
cnf(c_2710,negated_conjecture,
( host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(demodulation,[status(thm)],[c_171]) ).
cnf(c_2712,negated_conjecture,
( ~ elem(m_Ack(X0,X1),queue(host(X2)))
| ~ leq(host(X1),host(X0)) ),
inference(demodulation,[status(thm)],[c_169]) ).
cnf(c_2719,negated_conjecture,
( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X2,alive) ),
inference(demodulation,[status(thm)],[c_162]) ).
cnf(c_2722,negated_conjecture,
( index(status,host(X0)) != norm
| index(status,host(X1)) != elec_2
| index(ldr,host(X0)) != host(X0)
| ~ elem(m_Halt(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(X0)) ),
inference(demodulation,[status(thm)],[c_159]) ).
cnf(c_2727,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_2690]) ).
cnf(c_2728,negated_conjecture,
( s(index(pendack,host(X0))) != host(X1)
| index(status,host(X0)) != elec_2
| index(pendack,host(X0)) != host(X2)
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_2689]) ).
cnf(c_2729,negated_conjecture,
( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive)
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_2688]) ).
cnf(c_2730,negated_conjecture,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_153,c_2694,c_2695,c_2692,c_2693]) ).
cnf(c_2732,negated_conjecture,
sP7_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_151,c_2696]) ).
cnf(c_2733,negated_conjecture,
sP8_iProver_def = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_150,c_2698,c_2697]) ).
cnf(c_2735,negated_conjecture,
setIn(sK9,alive),
inference(demodulation,[status(thm)],[c_148]) ).
cnf(c_2736,negated_conjecture,
elem(sP10_iProver_def,sP13_iProver_def),
inference(demodulation,[status(thm)],[c_146,c_2701,c_2700,c_2702,c_2699]) ).
cnf(c_2737,negated_conjecture,
elem(sP14_iProver_def,sP13_iProver_def),
inference(demodulation,[status(thm)],[c_145,c_2703]) ).
cnf(c_2738,negated_conjecture,
sP15_iProver_def = elec_2,
inference(demodulation,[status(thm)],[c_144,c_2704]) ).
cnf(c_2739,negated_conjecture,
sP16_iProver_def = sP17_iProver_def,
inference(demodulation,[status(thm)],[c_143,c_2706,c_2705]) ).
cnf(c_2740,negated_conjecture,
setIn(sK6,alive),
inference(demodulation,[status(thm)],[c_141]) ).
cnf(c_2741,negated_conjecture,
sP18_iProver_def = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_140,c_2707]) ).
cnf(c_2742,negated_conjecture,
sP19_iProver_def = norm,
inference(demodulation,[status(thm)],[c_139,c_2708]) ).
cnf(c_4848,plain,
host(sK8) = s(sP16_iProver_def),
inference(light_normalisation,[status(thm)],[c_1070,c_2706,c_2739]) ).
cnf(c_4906,plain,
( index(status,host(X0)) != sP19_iProver_def
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive)
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2729,c_2742]) ).
cnf(c_4938,plain,
( ~ elem(m_Ack(X0,X1),queue(sP5_iProver_def))
| ~ leq(host(X1),host(X0)) ),
inference(superposition,[status(thm)],[c_2694,c_2712]) ).
cnf(c_4945,plain,
( ~ elem(m_Ack(X0,X1),sP4_iProver_def)
| ~ leq(host(X1),host(X0)) ),
inference(light_normalisation,[status(thm)],[c_4938,c_2695,c_2730]) ).
cnf(c_5009,plain,
( index(status,host(X0)) != sP19_iProver_def
| index(ldr,host(X0)) != host(X0)
| host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X2,alive) ),
inference(light_normalisation,[status(thm)],[c_2719,c_2742]) ).
cnf(c_5120,plain,
( index(status,host(X0)) != sP19_iProver_def
| index(status,host(X1)) != sP15_iProver_def
| index(ldr,host(X0)) != host(X0)
| ~ elem(m_Halt(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(X0)) ),
inference(light_normalisation,[status(thm)],[c_2722,c_2738,c_2742]) ).
cnf(c_5168,plain,
elem(sP3_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_2693,c_96]) ).
cnf(c_5169,plain,
queue(sP5_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_2695,c_2730]) ).
cnf(c_5175,plain,
( index(status,host(X0)) != sP15_iProver_def
| index(status,host(sK6)) != sP19_iProver_def
| index(ldr,sP7_iProver_def) != sP7_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| leq(index(pendack,host(X0)),host(sK6)) ),
inference(superposition,[status(thm)],[c_2696,c_5120]) ).
cnf(c_5180,plain,
( index(status,host(sK6)) != sP19_iProver_def
| index(ldr,sP7_iProver_def) != sP7_iProver_def
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive) ),
inference(superposition,[status(thm)],[c_2696,c_5009]) ).
cnf(c_5182,plain,
( index(status,host(sK6)) != sP19_iProver_def
| index(ldr,sP7_iProver_def) != sP7_iProver_def
| ~ setIn(sK6,alive)
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_2696,c_4906]) ).
cnf(c_5190,plain,
leq(sP7_iProver_def,nbr_proc),
inference(superposition,[status(thm)],[c_2696,c_54]) ).
cnf(c_5217,plain,
( sP7_iProver_def != sP7_iProver_def
| sP19_iProver_def != sP19_iProver_def
| ~ setIn(sK6,alive)
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5182,c_2696,c_2707,c_2708,c_2741]) ).
cnf(c_5218,plain,
( ~ setIn(sK6,alive)
| ~ sP0_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_5217]) ).
cnf(c_5219,plain,
~ sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_5218,c_2740]) ).
cnf(c_5221,plain,
( host(X0) != sP7_iProver_def
| sP7_iProver_def != sP7_iProver_def
| sP19_iProver_def != sP19_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive) ),
inference(light_normalisation,[status(thm)],[c_5180,c_2696,c_2707,c_2708,c_2741]) ).
cnf(c_5222,plain,
( host(X0) != sP7_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive) ),
inference(equality_resolution_simp,[status(thm)],[c_5221]) ).
cnf(c_5223,plain,
( host(X0) != sP7_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5222,c_2740]) ).
cnf(c_5231,plain,
( index(status,host(X0)) != sP15_iProver_def
| sP7_iProver_def != sP7_iProver_def
| sP19_iProver_def != sP19_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| leq(index(pendack,host(X0)),sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_5175,c_2696,c_2707,c_2708,c_2741]) ).
cnf(c_5232,plain,
( index(status,host(X0)) != sP15_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| leq(index(pendack,host(X0)),sP7_iProver_def) ),
inference(equality_resolution_simp,[status(thm)],[c_5231]) ).
cnf(c_5233,plain,
( index(status,host(X0)) != sP15_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5232,c_2740]) ).
cnf(c_5239,plain,
sP1_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_2727,c_5219]) ).
cnf(c_5334,plain,
host(sK5) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_2698,c_2733]) ).
cnf(c_5428,plain,
( ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| index(pendack,host(X0)) != host(X2)
| index(status,host(X0)) != elec_2
| s(index(pendack,host(X0))) != host(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2728,c_2728,c_5239]) ).
cnf(c_5429,negated_conjecture,
( s(index(pendack,host(X0))) != host(X1)
| index(status,host(X0)) != elec_2
| index(pendack,host(X0)) != host(X2)
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(renaming,[status(thm)],[c_5428]) ).
cnf(c_5430,plain,
( s(index(pendack,host(X0))) != host(X1)
| index(status,host(X0)) != sP15_iProver_def
| index(pendack,host(X0)) != host(X2)
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(light_normalisation,[status(thm)],[c_5429,c_2738]) ).
cnf(c_5446,plain,
( s(index(pendack,sP8_iProver_def)) != host(X0)
| index(status,host(sK9)) != sP15_iProver_def
| index(pendack,host(sK9)) != host(X1)
| ~ elem(m_Ack(sK9,X1),queue(host(sK9)))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Down(X0),queue(host(sK9)))
| ~ setIn(sK9,alive) ),
inference(superposition,[status(thm)],[c_2697,c_5430]) ).
cnf(c_5465,plain,
( host(X0) != host(sK8)
| host(X1) != sP16_iProver_def
| sP15_iProver_def != sP15_iProver_def
| ~ elem(m_Ack(sK9,X1),sP11_iProver_def)
| ~ elem(m_Down(X0),sP11_iProver_def)
| ~ leq(nbr_proc,host(sK8))
| ~ setIn(sK9,alive) ),
inference(light_normalisation,[status(thm)],[c_5446,c_2697,c_2700,c_2704,c_2705,c_4848]) ).
cnf(c_5466,plain,
( host(X0) != host(sK8)
| host(X1) != sP16_iProver_def
| ~ elem(m_Ack(sK9,X1),sP11_iProver_def)
| ~ elem(m_Down(X0),sP11_iProver_def)
| ~ leq(nbr_proc,host(sK8))
| ~ setIn(sK9,alive) ),
inference(equality_resolution_simp,[status(thm)],[c_5465]) ).
cnf(c_5467,plain,
( host(X0) != host(sK8)
| host(X1) != sP16_iProver_def
| ~ elem(m_Ack(sK9,X1),sP11_iProver_def)
| ~ elem(m_Down(X0),sP11_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5466,c_2735,c_1071]) ).
cnf(c_5539,plain,
host(sK7) = sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_2706,c_2739]) ).
cnf(c_6144,plain,
( host(X0) != sP16_iProver_def
| ~ elem(m_Ack(sK9,X0),sP11_iProver_def)
| ~ elem(m_Down(sK8),sP11_iProver_def) ),
inference(equality_resolution,[status(thm)],[c_5467]) ).
cnf(c_6145,plain,
( host(X0) != sP16_iProver_def
| ~ elem(m_Ack(sK9,X0),sP11_iProver_def)
| ~ elem(sP10_iProver_def,sP11_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_6144,c_2699]) ).
cnf(c_6167,plain,
( index(status,sP8_iProver_def) != sP15_iProver_def
| ~ elem(m_Halt(sK5),queue(host(X0)))
| ~ setIn(sK5,alive)
| leq(index(pendack,host(sK5)),sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_5334,c_5233]) ).
cnf(c_6168,plain,
( index(status,sP8_iProver_def) != sP15_iProver_def
| ~ elem(sP3_iProver_def,queue(host(X0)))
| ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_6167,c_2692,c_2705,c_5334]) ).
cnf(c_6169,plain,
( ~ elem(sP3_iProver_def,queue(host(X0)))
| ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6168,c_2704]) ).
cnf(c_6704,plain,
m_Down(X0) != sP12_iProver_def,
inference(superposition,[status(thm)],[c_2701,c_62]) ).
cnf(c_6841,plain,
sP10_iProver_def != sP12_iProver_def,
inference(superposition,[status(thm)],[c_2699,c_6704]) ).
cnf(c_7408,plain,
( ~ leq(X0,X1)
| leq(X0,X2)
| leq(X2,X1) ),
inference(superposition,[status(thm)],[c_128,c_132]) ).
cnf(c_7764,plain,
( ~ leq(host(sK8),nbr_proc)
| host(sK8) = nbr_proc ),
inference(superposition,[status(thm)],[c_1071,c_131]) ).
cnf(c_7771,plain,
( ~ leq(nbr_proc,sP7_iProver_def)
| nbr_proc = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_5190,c_131]) ).
cnf(c_7812,plain,
host(sK8) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_7764,c_54]) ).
cnf(c_7853,plain,
s(sP16_iProver_def) = nbr_proc,
inference(demodulation,[status(thm)],[c_4848,c_7812]) ).
cnf(c_7929,plain,
( m_Ack(X0,X1) != sP14_iProver_def
| X0 = sK9 ),
inference(superposition,[status(thm)],[c_2703,c_81]) ).
cnf(c_7971,plain,
( nbr_proc != sP7_iProver_def
| ~ elem(m_Down(sK8),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(superposition,[status(thm)],[c_7812,c_5223]) ).
cnf(c_8070,plain,
( nbr_proc != sP7_iProver_def
| ~ elem(sP10_iProver_def,queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(light_normalisation,[status(thm)],[c_7971,c_2699]) ).
cnf(c_8379,plain,
( m_Ack(X0,X1) != sP14_iProver_def
| X1 = sK7 ),
inference(superposition,[status(thm)],[c_2703,c_82]) ).
cnf(c_8440,plain,
( ~ elem(X0,sP13_iProver_def)
| X0 = sP12_iProver_def
| elem(X0,sP11_iProver_def) ),
inference(superposition,[status(thm)],[c_2702,c_100]) ).
cnf(c_8466,plain,
host(sK8) = s(sP16_iProver_def),
inference(light_normalisation,[status(thm)],[c_1070,c_2706,c_2739]) ).
cnf(c_8486,plain,
( ~ leq(X0,nbr_proc)
| s(sP16_iProver_def) = X0
| leq(X0,sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_7853,c_137]) ).
cnf(c_8487,plain,
( ~ leq(X0,nbr_proc)
| X0 = nbr_proc
| leq(X0,sP16_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_8486,c_7853]) ).
cnf(c_8616,plain,
( host(X0) != host(sK7)
| host(X0) != s(sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_5539,c_51]) ).
cnf(c_8625,plain,
( host(X0) != nbr_proc
| host(X0) != sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8616,c_5539,c_7853]) ).
cnf(c_9073,plain,
( host(X0) != sP5_iProver_def
| ~ elem(m_Down(sK4),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_2694,c_2710]) ).
cnf(c_9083,plain,
leq(sP5_iProver_def,nbr_proc),
inference(superposition,[status(thm)],[c_2694,c_54]) ).
cnf(c_9559,plain,
( host(sK6) != sP16_iProver_def
| nbr_proc != sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2696,c_8625]) ).
cnf(c_9563,plain,
( host(sK4) != sP16_iProver_def
| nbr_proc != sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2694,c_8625]) ).
cnf(c_9569,plain,
( nbr_proc != sP5_iProver_def
| sP5_iProver_def != sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9563,c_2694]) ).
cnf(c_9573,plain,
( nbr_proc != sP7_iProver_def
| sP7_iProver_def != sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9559,c_2696]) ).
cnf(c_9615,plain,
( sP12_iProver_def != sP14_iProver_def
| sK9 = sK5 ),
inference(superposition,[status(thm)],[c_2701,c_7929]) ).
cnf(c_9945,plain,
( ~ leq(sP5_iProver_def,sP7_iProver_def)
| ~ leq(sP7_iProver_def,sP5_iProver_def)
| sP7_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_10010,plain,
( index(status,host(X0)) != sP19_iProver_def
| index(status,host(X1)) != sP15_iProver_def
| index(ldr,host(X0)) != host(X0)
| ~ elem(m_Halt(X1),queue(host(X2)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(X0)) ),
inference(light_normalisation,[status(thm)],[c_2722,c_2738,c_2742]) ).
cnf(c_10160,plain,
( index(status,host(X0)) != sP15_iProver_def
| index(status,host(sK6)) != sP19_iProver_def
| index(ldr,sP7_iProver_def) != sP7_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| leq(index(pendack,host(X0)),host(sK6)) ),
inference(superposition,[status(thm)],[c_2696,c_10010]) ).
cnf(c_10174,plain,
leq(sP7_iProver_def,nbr_proc),
inference(superposition,[status(thm)],[c_2696,c_54]) ).
cnf(c_10212,plain,
( index(status,host(X0)) != sP15_iProver_def
| sP7_iProver_def != sP7_iProver_def
| sP19_iProver_def != sP19_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| leq(index(pendack,host(X0)),sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_10160,c_2696,c_2707,c_2708,c_2741]) ).
cnf(c_10213,plain,
( index(status,host(X0)) != sP15_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ setIn(sK6,alive)
| leq(index(pendack,host(X0)),sP7_iProver_def) ),
inference(equality_resolution_simp,[status(thm)],[c_10212]) ).
cnf(c_10214,plain,
( index(status,host(X0)) != sP15_iProver_def
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10213,c_2740]) ).
cnf(c_10992,plain,
host(sK5) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_2698,c_2733]) ).
cnf(c_12022,plain,
( sP12_iProver_def != sP14_iProver_def
| sK7 = sK4 ),
inference(superposition,[status(thm)],[c_2701,c_8379]) ).
cnf(c_13640,plain,
( host(X0) = nbr_proc
| leq(host(X0),sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_54,c_8487]) ).
cnf(c_13646,plain,
( nbr_proc = sP7_iProver_def
| leq(sP7_iProver_def,sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_5190,c_8487]) ).
cnf(c_14155,plain,
( ~ elem(sP3_iProver_def,queue(sP5_iProver_def))
| ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2694,c_6169]) ).
cnf(c_14158,plain,
( ~ setIn(sK5,alive)
| ~ elem(sP3_iProver_def,sP4_iProver_def)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_14155,c_5169]) ).
cnf(c_14159,plain,
( ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14158,c_5168]) ).
cnf(c_15982,plain,
( ~ elem(m_Ack(sK9,sK7),sP11_iProver_def)
| ~ elem(sP10_iProver_def,sP11_iProver_def) ),
inference(superposition,[status(thm)],[c_5539,c_6145]) ).
cnf(c_15985,plain,
( ~ elem(sP10_iProver_def,sP11_iProver_def)
| ~ elem(sP14_iProver_def,sP11_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_15982,c_2703]) ).
cnf(c_16389,plain,
( index(status,sP8_iProver_def) != sP15_iProver_def
| ~ elem(m_Halt(sK5),queue(host(X0)))
| ~ setIn(sK5,alive)
| leq(index(pendack,host(sK5)),sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_10992,c_10214]) ).
cnf(c_16390,plain,
( index(status,sP8_iProver_def) != sP15_iProver_def
| ~ elem(sP3_iProver_def,queue(host(X0)))
| ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_16389,c_2692,c_2705,c_10992]) ).
cnf(c_16391,plain,
( ~ elem(sP3_iProver_def,queue(host(X0)))
| ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16390,c_2704]) ).
cnf(c_22828,plain,
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_54,c_132]) ).
cnf(c_24979,plain,
( ~ leq(host(sK8),nbr_proc)
| host(sK8) = nbr_proc ),
inference(superposition,[status(thm)],[c_1071,c_131]) ).
cnf(c_25027,plain,
host(sK8) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_24979,c_54]) ).
cnf(c_25068,plain,
s(sP16_iProver_def) = nbr_proc,
inference(demodulation,[status(thm)],[c_8466,c_25027]) ).
cnf(c_26351,plain,
( m_Ack(X0,X1) != sP14_iProver_def
| X0 = sK9 ),
inference(superposition,[status(thm)],[c_2703,c_81]) ).
cnf(c_26412,plain,
( nbr_proc != sP5_iProver_def
| ~ elem(m_Down(sK4),queue(host(sK8))) ),
inference(superposition,[status(thm)],[c_25027,c_9073]) ).
cnf(c_26464,plain,
( nbr_proc != sP5_iProver_def
| ~ elem(m_Down(sK4),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_26412,c_25027]) ).
cnf(c_28442,plain,
( ~ leq(X0,nbr_proc)
| s(sP16_iProver_def) = X0
| leq(X0,sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_25068,c_137]) ).
cnf(c_28443,plain,
( ~ leq(X0,nbr_proc)
| X0 = nbr_proc
| leq(X0,sP16_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_28442,c_25068]) ).
cnf(c_42243,plain,
( sP12_iProver_def != sP14_iProver_def
| sK9 = sK5 ),
inference(superposition,[status(thm)],[c_2701,c_26351]) ).
cnf(c_53515,plain,
( sP10_iProver_def = sP12_iProver_def
| elem(sP10_iProver_def,sP11_iProver_def) ),
inference(superposition,[status(thm)],[c_2736,c_8440]) ).
cnf(c_53516,plain,
( sP12_iProver_def = sP14_iProver_def
| elem(sP14_iProver_def,sP11_iProver_def) ),
inference(superposition,[status(thm)],[c_2737,c_8440]) ).
cnf(c_53524,plain,
elem(sP10_iProver_def,sP11_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_53515,c_6841]) ).
cnf(c_53542,plain,
~ elem(sP14_iProver_def,sP11_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_15985,c_53524]) ).
cnf(c_53547,plain,
sP12_iProver_def = sP14_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_53516,c_53542]) ).
cnf(c_53548,plain,
sK7 = sK4,
inference(backward_subsumption_resolution,[status(thm)],[c_12022,c_53547]) ).
cnf(c_53549,plain,
sK9 = sK5,
inference(backward_subsumption_resolution,[status(thm)],[c_9615,c_53547]) ).
cnf(c_53653,plain,
host(sK4) = sP16_iProver_def,
inference(demodulation,[status(thm)],[c_5539,c_53548]) ).
cnf(c_53654,plain,
sP5_iProver_def = sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_53653,c_2694]) ).
cnf(c_53709,plain,
( host(X0) = nbr_proc
| leq(host(X0),sP5_iProver_def) ),
inference(demodulation,[status(thm)],[c_13640,c_53654]) ).
cnf(c_53715,plain,
( nbr_proc != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_9573,c_53654]) ).
cnf(c_53724,plain,
( nbr_proc = sP7_iProver_def
| leq(sP7_iProver_def,sP5_iProver_def) ),
inference(demodulation,[status(thm)],[c_13646,c_53654]) ).
cnf(c_53730,plain,
( ~ setIn(sK5,alive)
| leq(sP5_iProver_def,sP7_iProver_def) ),
inference(demodulation,[status(thm)],[c_14159,c_53654]) ).
cnf(c_54975,plain,
( ~ setIn(sK9,alive)
| leq(sP5_iProver_def,sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_53730,c_53549]) ).
cnf(c_54976,plain,
leq(sP5_iProver_def,sP7_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_54975,c_2735]) ).
cnf(c_54991,plain,
( leq(X0,sP7_iProver_def)
| leq(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_54976,c_7408]) ).
cnf(c_54992,plain,
( ~ leq(sP7_iProver_def,sP5_iProver_def)
| sP5_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_54976,c_131]) ).
cnf(c_55221,plain,
( ~ leq(X0,sP5_iProver_def)
| leq(X0,X1)
| leq(X1,sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_54991,c_132]) ).
cnf(c_55447,plain,
( nbr_proc = sP7_iProver_def
| sP5_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_53724,c_54992]) ).
cnf(c_56355,plain,
( sP5_iProver_def = sP7_iProver_def
| leq(host(X0),sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_55447,c_54]) ).
cnf(c_58708,plain,
( host(X0) = nbr_proc
| leq(host(X0),X1)
| leq(X1,sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_53709,c_55221]) ).
cnf(c_60727,plain,
nbr_proc != sP5_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_26464,c_9569,c_53654]) ).
cnf(c_60746,plain,
( nbr_proc = sP5_iProver_def
| leq(sP5_iProver_def,sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_9083,c_28443]) ).
cnf(c_60747,plain,
( nbr_proc = sP7_iProver_def
| leq(sP7_iProver_def,sP16_iProver_def) ),
inference(superposition,[status(thm)],[c_10174,c_28443]) ).
cnf(c_60778,plain,
leq(sP5_iProver_def,sP16_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_60746,c_60727]) ).
cnf(c_60940,plain,
( ~ leq(sP16_iProver_def,sP5_iProver_def)
| sP5_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_60778,c_131]) ).
cnf(c_62989,plain,
( ~ setIn(sK5,alive)
| leq(sP16_iProver_def,sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_16391,c_14159]) ).
cnf(c_64125,plain,
( leq(host(X0),X1)
| leq(X1,nbr_proc) ),
inference(superposition,[status(thm)],[c_128,c_22828]) ).
cnf(c_88005,plain,
sP5_iProver_def = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_60940,c_53654]) ).
cnf(c_88020,plain,
( nbr_proc = sP7_iProver_def
| leq(sP7_iProver_def,sP5_iProver_def) ),
inference(demodulation,[status(thm)],[c_60747,c_88005]) ).
cnf(c_88036,plain,
( ~ setIn(sK5,alive)
| leq(sP5_iProver_def,sP7_iProver_def) ),
inference(demodulation,[status(thm)],[c_62989,c_88005]) ).
cnf(c_100336,plain,
sK9 = sK5,
inference(global_subsumption_just,[status(thm)],[c_42243,c_53549]) ).
cnf(c_100342,plain,
( ~ setIn(sK9,alive)
| leq(sP5_iProver_def,sP7_iProver_def) ),
inference(demodulation,[status(thm)],[c_88036,c_100336]) ).
cnf(c_100380,plain,
leq(sP5_iProver_def,sP7_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_100342,c_2735]) ).
cnf(c_100435,plain,
( ~ leq(sP7_iProver_def,sP5_iProver_def)
| sP5_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_100380,c_131]) ).
cnf(c_100500,plain,
~ leq(sP7_iProver_def,sP5_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_100435,c_2732,c_9945,c_100380]) ).
cnf(c_100502,plain,
nbr_proc = sP7_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_88020,c_100500]) ).
cnf(c_100587,plain,
( leq(host(X0),X1)
| leq(X1,sP7_iProver_def) ),
inference(demodulation,[status(thm)],[c_64125,c_100502]) ).
cnf(c_103250,plain,
( leq(host(X0),X1)
| leq(X1,sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_58708,c_100587]) ).
cnf(c_103292,plain,
( ~ elem(m_Ack(X0,X1),sP4_iProver_def)
| leq(host(X0),sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_103250,c_4945]) ).
cnf(c_103445,plain,
leq(host(X0),sP7_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_103292,c_2732,c_9945,c_53724,c_53715,c_56355,c_100380]) ).
cnf(c_103450,plain,
leq(nbr_proc,sP7_iProver_def),
inference(superposition,[status(thm)],[c_7812,c_103445]) ).
cnf(c_103485,plain,
nbr_proc = sP7_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_7771,c_103450]) ).
cnf(c_103488,plain,
( ~ elem(sP10_iProver_def,queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8070,c_103485]) ).
cnf(c_105932,plain,
( ~ elem(sP10_iProver_def,queue(sP8_iProver_def))
| ~ setIn(sK9,alive) ),
inference(superposition,[status(thm)],[c_2697,c_103488]) ).
cnf(c_105936,plain,
( ~ setIn(sK9,alive)
| ~ elem(sP10_iProver_def,sP11_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_105932,c_2700]) ).
cnf(c_105937,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_105936,c_53524,c_2735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV462+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 00:11:58 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.05/4.23 % SZS status Started for theBenchmark.p
% 24.05/4.23 % SZS status Theorem for theBenchmark.p
% 24.05/4.23
% 24.05/4.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.05/4.23
% 24.05/4.23 ------ iProver source info
% 24.05/4.23
% 24.05/4.23 git: date: 2024-05-02 19:28:25 +0000
% 24.05/4.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.05/4.23 git: non_committed_changes: false
% 24.05/4.23
% 24.05/4.23 ------ Parsing...
% 24.05/4.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.05/4.23
% 24.05/4.23 ------ 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
% 24.05/4.23
% 24.05/4.23 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.05/4.23
% 24.05/4.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.05/4.23 ------ Proving...
% 24.05/4.23 ------ Problem Properties
% 24.05/4.23
% 24.05/4.23
% 24.05/4.23 clauses 140
% 24.05/4.23 conjectures 34
% 24.05/4.23 EPR 28
% 24.05/4.23 Horn 123
% 24.05/4.23 unary 78
% 24.05/4.23 binary 27
% 24.05/4.23 lits 283
% 24.05/4.23 lits eq 128
% 24.05/4.23 fd_pure 0
% 24.05/4.23 fd_pseudo 0
% 24.05/4.23 fd_cond 0
% 24.05/4.23 fd_pseudo_cond 12
% 24.05/4.23 AC symbols 0
% 24.05/4.23
% 24.05/4.23 ------ Schedule dynamic 5 is on
% 24.05/4.23
% 24.05/4.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.05/4.23
% 24.05/4.23
% 24.05/4.23 ------
% 24.05/4.23 Current options:
% 24.05/4.23 ------
% 24.05/4.23
% 24.05/4.23
% 24.05/4.23
% 24.05/4.23
% 24.05/4.23 ------ Proving...
% 24.05/4.23
% 24.05/4.23
% 24.05/4.23 % SZS status Theorem for theBenchmark.p
% 24.05/4.23
% 24.05/4.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.05/4.23
% 24.05/4.24
%------------------------------------------------------------------------------