%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:22:14 PM UTC 2026
% Result : Theorem 5.20s 2.46s
% Output : CNFRefutation 5.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 109 ( 49 unt; 0 def)
% Number of atoms : 893 ( 362 equ)
% Maximal formula atoms : 92 ( 8 avg)
% Number of connectives : 1233 ( 449 ~; 351 |; 351 &)
% ( 4 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 20 con; 0-2 aty)
% Number of variables : 411 ( 2 sgn 384 !; 27 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f15,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| X0 = s(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X6) = s(index(pendack,host(X5)))
& host(X7) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& leq(nbr_proc,s(index(pendack,host(X5))))
& elem(m_Ack(X5,X7),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X5) = host(X7)
& host(X5) = nbr_proc
& elem(m_Down(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X6)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_1
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4,X5] :
( ( elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( host(X10) = s(index(pendack,host(X11)))
& host(X9) = index(pendack,host(X11))
& index(status,host(X11)) = elec_2
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X11))))
& setIn(X11,alive) )
=> ~ ( host(X2) = host(X8)
& setIn(X8,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X6) = s(index(pendack,host(X5)))
& host(X7) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& leq(nbr_proc,s(index(pendack,host(X5))))
& elem(m_Ack(X5,X7),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X5) = host(X7)
& host(X5) = nbr_proc
& elem(m_Down(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X6)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_1
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4,X5] :
( ( elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( host(X10) = s(index(pendack,host(X11)))
& host(X9) = index(pendack,host(X11))
& index(status,host(X11)) = elec_2
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X11))))
& setIn(X11,alive) )
=> ~ ( host(X2) = host(X8)
& setIn(X8,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X38,X39,X40,X41] :
( ( s(index(pendack,host(X41))) = host(X40)
& index(pendack,host(X41)) = host(X39)
& elec_2 = index(status,host(X41))
& leq(nbr_proc,s(index(pendack,host(X41))))
& elem(m_Ack(X41,X39),queue(host(X41)))
& elem(m_Down(X40),queue(host(X41)))
& setIn(X41,alive) )
=> ~ ( norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38))
& setIn(X38,alive) ) )
& ! [X33,X34,X35,X36] :
( ( elec_1 = index(status,host(X36))
& host(X36) = host(X34)
& nbr_proc = host(X36)
& elem(m_Down(X35),queue(host(X36)))
& ! [X37] :
( ( leq(s(zero),X37)
& ~ leq(host(X36),X37) )
=> ( host(X35) = X37
| setIn(X37,index(down,host(X36))) ) ) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) )
& ! [X30,X31,X32] :
( ( elec_2 = index(status,host(X32))
& elem(m_Halt(X32),queue(host(X31)))
& setIn(X32,alive)
& ~ leq(index(pendack,host(X32)),host(X30)) )
=> ~ ( norm = index(status,host(X30))
& host(X30) = index(ldr,host(X30))
& setIn(X30,alive) ) )
& ! [X28,X29] :
( ( elec_2 = index(status,host(X29))
& elec_2 = index(status,host(X28))
& setIn(X29,alive)
& setIn(X28,alive)
& ~ leq(host(X28),host(X29)) )
=> ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X25,X26,X27] :
( ( elec_2 = index(status,host(X27))
& elec_2 = index(status,host(X25))
& host(X27) = host(X26)
& setIn(X27,alive)
& setIn(X25,alive) )
=> ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [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)) )
& ! [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) ) )
& ! [X19] :
( ( setIn(X19,alive)
& ( elec_2 = index(status,host(X19))
| elec_1 = index(status,host(X19)) ) )
=> index(elid,host(X19)) = X19 )
& ! [X17,X18] :
( ( elec_1 = index(status,host(X18))
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X15,X16] :
( ( elem(m_Ack(X16,X15),queue(host(X16)))
& setIn(X16,alive) )
=> leq(host(X15),index(pendack,host(X16))) )
& ! [X13,X14] :
( ( host(X13) = host(X14)
& X13 != X14 )
=> ( ~ setIn(X14,alive)
| ~ setIn(X13,alive) ) )
& ! [X10,X11,X12] :
( elem(m_Ack(X12,X10),queue(host(X11)))
=> ~ leq(host(X10),host(X12)) )
& ! [X8,X9] :
( elem(m_Halt(X9),queue(host(X8)))
=> ~ leq(host(X8),host(X9)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2 )
=> ( 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(f70,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X38,X39,X40,X41] :
( s(index(pendack,host(X41))) != host(X40)
| index(pendack,host(X41)) != host(X39)
| elec_2 != index(status,host(X41))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| ~ setIn(X38,alive) )
& ! [X33,X34,X35,X36] :
( elec_1 != index(status,host(X36))
| host(X36) != host(X34)
| nbr_proc != host(X36)
| ~ elem(m_Down(X35),queue(host(X36)))
| ? [X37] :
( leq(s(zero),X37)
& ~ leq(host(X36),X37)
& host(X35) != X37
& ~ setIn(X37,index(down,host(X36))) )
| ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X30,X31,X32] :
( elec_2 != index(status,host(X32))
| ~ elem(m_Halt(X32),queue(host(X31)))
| ~ setIn(X32,alive)
| leq(index(pendack,host(X32)),host(X30))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30))
| ~ setIn(X30,alive) )
& ! [X28,X29] :
( elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X28))
| ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| leq(host(X28),host(X29))
| ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X25,X26,X27] :
( elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X25))
| host(X27) != host(X26)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [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)) )
& ! [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) )
& ! [X19] :
( ~ setIn(X19,alive)
| ( elec_2 != index(status,host(X19))
& elec_1 != index(status,host(X19)) )
| index(elid,host(X19)) = X19 )
& ! [X17,X18] :
( elec_1 != index(status,host(X18))
| ~ setIn(X18,alive)
| ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X15,X16] :
( ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ setIn(X16,alive)
| leq(host(X15),index(pendack,host(X16))) )
& ! [X13,X14] :
( host(X13) != host(X14)
| X13 = X14
| ~ setIn(X14,alive)
| ~ setIn(X13,alive) )
& ! [X10,X11,X12] :
( ~ elem(m_Ack(X12,X10),queue(host(X11)))
| ~ leq(host(X10),host(X12)) )
& ! [X8,X9] :
( ~ elem(m_Halt(X9),queue(host(X8)))
| ~ leq(host(X8),host(X9)) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& leq(host(X2),host(X3))
& host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& 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(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X38,X39,X40,X41] :
( s(index(pendack,host(X41))) != host(X40)
| index(pendack,host(X41)) != host(X39)
| elec_2 != index(status,host(X41))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| ~ setIn(X38,alive) )
& ! [X33,X34,X35,X36] :
( elec_1 != index(status,host(X36))
| host(X36) != host(X34)
| nbr_proc != host(X36)
| ~ elem(m_Down(X35),queue(host(X36)))
| ? [X37] :
( leq(s(zero),X37)
& ~ leq(host(X36),X37)
& host(X35) != X37
& ~ setIn(X37,index(down,host(X36))) )
| ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X30,X31,X32] :
( elec_2 != index(status,host(X32))
| ~ elem(m_Halt(X32),queue(host(X31)))
| ~ setIn(X32,alive)
| leq(index(pendack,host(X32)),host(X30))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30))
| ~ setIn(X30,alive) )
& ! [X28,X29] :
( elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X28))
| ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| leq(host(X28),host(X29))
| ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X25,X26,X27] :
( elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X25))
| host(X27) != host(X26)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [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)) )
& ! [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) )
& ! [X19] :
( ~ setIn(X19,alive)
| ( elec_2 != index(status,host(X19))
& elec_1 != index(status,host(X19)) )
| index(elid,host(X19)) = X19 )
& ! [X17,X18] :
( elec_1 != index(status,host(X18))
| ~ setIn(X18,alive)
| ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X15,X16] :
( ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ setIn(X16,alive)
| leq(host(X15),index(pendack,host(X16))) )
& ! [X13,X14] :
( host(X13) != host(X14)
| X13 = X14
| ~ setIn(X14,alive)
| ~ setIn(X13,alive) )
& ! [X10,X11,X12] :
( ~ elem(m_Ack(X12,X10),queue(host(X11)))
| ~ leq(host(X10),host(X12)) )
& ! [X8,X9] :
( ~ elem(m_Halt(X9),queue(host(X8)))
| ~ leq(host(X8),host(X9)) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& leq(host(X2),host(X3))
& host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& 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(flattening,[],[f70]) ).
fof(f82,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X42,X43,X44,X45] :
( host(X44) != s(index(pendack,host(X45)))
| host(X43) != index(pendack,host(X45))
| elec_2 != index(status,host(X45))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ setIn(X45,alive)
| norm != index(status,host(X42))
| host(X42) != index(ldr,host(X42))
| ~ setIn(X42,alive) )
& ! [X37,X38,X39,X40] :
( elec_1 != index(status,host(X40))
| host(X40) != host(X38)
| nbr_proc != host(X40)
| ~ elem(m_Down(X39),queue(host(X40)))
| ? [X41] :
( leq(s(zero),X41)
& ~ leq(host(X40),X41)
& host(X39) != X41
& ~ setIn(X41,index(down,host(X40))) )
| ~ elem(m_Down(X38),queue(host(X37)))
| ~ setIn(X37,alive) )
& ! [X34,X35,X36] :
( elec_2 != index(status,host(X36))
| ~ elem(m_Halt(X36),queue(host(X35)))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X34))
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) )
& ! [X32,X33] :
( elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| leq(host(X32),host(X33))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33))) )
& ! [X29,X30,X31] :
( elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X29))
| host(X30) != host(X31)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| ~ elem(m_Ack(X29,X30),queue(host(X29))) )
& ! [X27,X28] :
( elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28))
| leq(index(pendack,host(X28)),host(X27)) )
& ! [X24,X25,X26] :
( host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive)
| norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive) )
& ! [X23] :
( ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) )
| index(elid,host(X23)) = X23 )
& ! [X21,X22] :
( elec_1 != index(status,host(X22))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X22,X21),queue(host(X22))) )
& ! [X19,X20] :
( ~ elem(m_Ack(X20,X19),queue(host(X20)))
| ~ setIn(X20,alive)
| leq(host(X19),index(pendack,host(X20))) )
& ! [X17,X18] :
( host(X18) != host(X17)
| X17 = X18
| ~ setIn(X18,alive)
| ~ setIn(X17,alive) )
& ! [X14,X15,X16] :
( ~ elem(m_Ack(X16,X14),queue(host(X15)))
| ~ leq(host(X14),host(X16)) )
& ! [X12,X13] :
( ~ elem(m_Halt(X13),queue(host(X12)))
| ~ leq(host(X12),host(X13)) )
& ! [X10,X11] :
( ~ elem(m_Down(X11),queue(host(X10)))
| host(X11) != host(X10) )
& ! [X8,X9] :
( ~ elem(m_Ldr(X9),queue(host(X8)))
| ~ leq(host(X8),host(X9)) )
& setIn(X1,alive)
& leq(host(X1),host(X2))
& host(X2) = index(pendack,host(X1))
& elec_2 = index(status,host(X1))
& leq(nbr_proc,index(pendack,host(X1)))
& ? [X3] :
( setIn(host(X3),index(acks,host(X1)))
& ? [X4] :
( host(X1) = host(X4)
& ? [X5,X6,X7] :
( host(X7) = host(X3)
& host(X1) != host(X7)
& 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(X4)
& setIn(X4,alive) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f83,plain,
( queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X42,X43,X44,X45] :
( host(X44) != s(index(pendack,host(X45)))
| host(X43) != index(pendack,host(X45))
| elec_2 != index(status,host(X45))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ setIn(X45,alive)
| norm != index(status,host(X42))
| host(X42) != index(ldr,host(X42))
| ~ setIn(X42,alive) )
& ! [X37,X38,X39,X40] :
( elec_1 != index(status,host(X40))
| host(X40) != host(X38)
| nbr_proc != host(X40)
| ~ elem(m_Down(X39),queue(host(X40)))
| ( leq(s(zero),sK8(X39,X40))
& ~ leq(host(X40),sK8(X39,X40))
& host(X39) != sK8(X39,X40)
& ~ setIn(sK8(X39,X40),index(down,host(X40))) )
| ~ elem(m_Down(X38),queue(host(X37)))
| ~ setIn(X37,alive) )
& ! [X34,X35,X36] :
( elec_2 != index(status,host(X36))
| ~ elem(m_Halt(X36),queue(host(X35)))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X34))
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) )
& ! [X32,X33] :
( elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| leq(host(X32),host(X33))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33))) )
& ! [X29,X30,X31] :
( elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X29))
| host(X30) != host(X31)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| ~ elem(m_Ack(X29,X30),queue(host(X29))) )
& ! [X27,X28] :
( elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28))
| leq(index(pendack,host(X28)),host(X27)) )
& ! [X24,X25,X26] :
( host(X24) != host(X25)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ setIn(X26,alive)
| norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive) )
& ! [X23] :
( ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) )
| index(elid,host(X23)) = X23 )
& ! [X21,X22] :
( elec_1 != index(status,host(X22))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X22,X21),queue(host(X22))) )
& ! [X19,X20] :
( ~ elem(m_Ack(X20,X19),queue(host(X20)))
| ~ setIn(X20,alive)
| leq(host(X19),index(pendack,host(X20))) )
& ! [X17,X18] :
( host(X18) != host(X17)
| X17 = X18
| ~ setIn(X18,alive)
| ~ setIn(X17,alive) )
& ! [X14,X15,X16] :
( ~ elem(m_Ack(X16,X14),queue(host(X15)))
| ~ leq(host(X14),host(X16)) )
& ! [X12,X13] :
( ~ elem(m_Halt(X13),queue(host(X12)))
| ~ leq(host(X12),host(X13)) )
& ! [X10,X11] :
( ~ elem(m_Down(X11),queue(host(X10)))
| host(X11) != host(X10) )
& ! [X8,X9] :
( ~ elem(m_Ldr(X9),queue(host(X8)))
| ~ leq(host(X8),host(X9)) )
& setIn(sK1,alive)
& leq(host(sK1),host(sK2))
& index(pendack,host(sK1)) = host(sK2)
& elec_2 = index(status,host(sK1))
& leq(nbr_proc,index(pendack,host(sK1)))
& setIn(host(sK3),index(acks,host(sK1)))
& host(sK1) = host(sK4)
& host(sK7) = host(sK3)
& host(sK1) != host(sK7)
& s(index(pendack,host(sK7))) = host(sK6)
& index(pendack,host(sK7)) = host(sK5)
& elec_2 = index(status,host(sK7))
& elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Ldr(sK1)))
& elem(m_Down(sK6),snoc(queue(host(sK7)),m_Ldr(sK1)))
& leq(nbr_proc,s(index(pendack,host(sK7))))
& setIn(sK7,alive)
& host(sK1) = host(sK4)
& setIn(sK4,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X41,sK8(X39,X40))],[f82]) ).
fof(f84,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,[],[f48]) ).
fof(f85,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,[],[f84]) ).
fof(f86,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,[],[f47]) ).
fof(f87,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,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f89,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ( ~ leq(X0,s(X1))
| leq(X0,X1)
| X0 = s(X1) )
& ( ( ~ leq(X0,X1)
& s(X1) != X0 )
| leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X0,X1] :
( ( ~ leq(X0,s(X1))
| leq(X0,X1)
| X0 = s(X1) )
& ( ( ~ leq(X0,X1)
& s(X1) != X0 )
| leq(X0,s(X1)) ) ),
inference(flattening,[],[f90]) ).
fof(f98,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f105,plain,
! [X32,X33] :
( elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| leq(host(X32),host(X33))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f106,plain,
! [X31,X29,X30] :
( elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X29))
| host(X30) != host(X31)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| ~ elem(m_Ack(X29,X30),queue(host(X29))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f107,plain,
! [X28,X27] :
( elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28))
| leq(index(pendack,host(X28)),host(X27)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f116,plain,
! [X10,X11] :
( ~ elem(m_Down(X11),queue(host(X10)))
| host(X11) != host(X10) ),
inference(cnf_transformation,[],[f83]) ).
fof(f118,plain,
setIn(sK1,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f120,plain,
index(pendack,host(sK1)) = host(sK2),
inference(cnf_transformation,[],[f83]) ).
fof(f121,plain,
elec_2 = index(status,host(sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f122,plain,
leq(nbr_proc,index(pendack,host(sK1))),
inference(cnf_transformation,[],[f83]) ).
fof(f126,plain,
host(sK1) != host(sK7),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
s(index(pendack,host(sK7))) = host(sK6),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Ldr(sK1))),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f15]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f148,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f153,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f158,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f91]) ).
fof(f166,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f148]) ).
tcf(c_51,negated_conjecture,
setIn(sK7,alive),
inference(cnf_transformation,[],[f133]) ).
tcf(c_52,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f132]) ).
tcf(c_54,negated_conjecture,
elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Ldr(sK1))),
inference(cnf_transformation,[],[f130]) ).
tcf(c_55,negated_conjecture,
index(status,host(sK7)) = elec_2,
inference(cnf_transformation,[],[f129]) ).
tcf(c_56,negated_conjecture,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f128]) ).
tcf(c_57,negated_conjecture,
s(index(pendack,host(sK7))) = host(sK6),
inference(cnf_transformation,[],[f127]) ).
tcf(c_58,negated_conjecture,
host(sK1) != host(sK7),
inference(cnf_transformation,[],[f126]) ).
tcf(c_62,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK1))),
inference(cnf_transformation,[],[f122]) ).
tcf(c_63,negated_conjecture,
index(status,host(sK1)) = elec_2,
inference(cnf_transformation,[],[f121]) ).
tcf(c_64,negated_conjecture,
index(pendack,host(sK1)) = host(sK2),
inference(cnf_transformation,[],[f120]) ).
tcf(c_66,negated_conjecture,
setIn(sK1,alive),
inference(cnf_transformation,[],[f118]) ).
tcf(c_68,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_77,negated_conjecture,
! [X0: $i,X1: $i] :
( leq(host(X1),host(X0))
| leq(index(pendack,host(X0)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ( index(status,host(X1)) != elec_2 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X2,X0),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(status,host(X2)) != elec_2 )
| ( index(status,host(X1)) != elec_2 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i] :
( leq(host(X0),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),index(pendack,host(X1)))
| ( index(status,host(X1)) != elec_2 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_86,negated_conjecture,
cons(m_Down(sK2),sK0) = queue(host(sK1)),
inference(cnf_transformation,[],[f98]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f139]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,X1)
| ( X0 = X2 )
| ~ elem(X0,snoc(X1,X2)) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f204]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(X1) = X0 )
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_116,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f166]) ).
tcf(c_822,plain,
leq(nbr_proc,host(sK2)),
inference(demodulation,[status(thm)],[c_62,c_64]) ).
tcf(c_823,plain,
leq(nbr_proc,s(host(sK5))),
inference(demodulation,[status(thm)],[c_52,c_56]) ).
tcf(c_844,plain,
s(host(sK5)) = host(sK6),
inference(light_normalisation,[status(thm)],[c_57,c_56]) ).
tcf(c_845,plain,
leq(nbr_proc,host(sK6)),
inference(demodulation,[status(thm)],[c_823,c_844]) ).
tcf(c_3543,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[status(thm)],[c_86,c_97]) ).
tcf(c_3569,plain,
! [X0: $i] : ~ elem(m_Down(X0),queue(host(X0))),
inference(equality_resolution,[status(thm)],[c_68]) ).
tcf(c_3717,plain,
! [X0: $i] :
( leq(host(X0),host(sK7))
| leq(index(pendack,host(sK7)),host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_55,c_77]) ).
tcf(c_3727,plain,
! [X0: $i] :
( leq(host(sK5),host(X0))
| leq(host(X0),host(sK7))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_3717,c_56]) ).
tcf(c_3728,plain,
! [X0: $i] :
( leq(host(sK5),host(X0))
| leq(host(X0),host(sK7))
| ~ setIn(X0,alive)
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3727,c_51]) ).
tcf(c_3775,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_63,c_78]) ).
tcf(c_3778,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3775,c_66]) ).
tcf(c_3807,plain,
! [X0: $i] :
( leq(host(sK7),host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(sK7)),index(pendack,host(X0)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_55,c_79]) ).
tcf(c_3817,plain,
! [X0: $i] :
( leq(host(sK7),host(X0))
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ leq(host(sK5),index(pendack,host(X0)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_3807,c_56]) ).
tcf(c_3818,plain,
! [X0: $i] :
( leq(host(sK7),host(X0))
| ~ setIn(X0,alive)
| ~ leq(host(sK5),index(pendack,host(X0)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3817,c_51]) ).
tcf(c_4112,plain,
( leq(host(sK5),host(sK1))
| leq(host(sK1),host(sK7))
| ~ setIn(sK1,alive) ),
inference(superposition,[status(thm)],[c_63,c_3728]) ).
tcf(c_4114,plain,
( leq(host(sK5),host(sK1))
| leq(host(sK1),host(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4112,c_66]) ).
tcf(c_4470,plain,
( leq(host(sK7),host(sK1))
| ~ setIn(sK1,alive)
| ~ leq(host(sK5),index(pendack,host(sK1))) ),
inference(superposition,[status(thm)],[c_63,c_3818]) ).
tcf(c_4472,plain,
( leq(host(sK7),host(sK1))
| ~ setIn(sK1,alive)
| ~ leq(host(sK5),host(sK2)) ),
inference(light_normalisation,[status(thm)],[c_4470,c_64]) ).
tcf(c_4473,plain,
( leq(host(sK7),host(sK1))
| ~ leq(host(sK5),host(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4472,c_66]) ).
tcf(c_4512,plain,
( ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),nbr_proc) ),
inference(superposition,[status(thm)],[c_822,c_105]) ).
tcf(c_4513,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_845,c_105]) ).
tcf(c_4523,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_4513,c_116]) ).
tcf(c_4524,plain,
host(sK2) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_4512,c_116]) ).
tcf(c_4552,plain,
s(host(sK5)) = nbr_proc,
inference(demodulation,[status(thm)],[c_844,c_4523]) ).
tcf(c_4800,plain,
~ elem(m_Down(sK2),queue(nbr_proc)),
inference(superposition,[status(thm)],[c_4524,c_3569]) ).
tcf(c_4979,plain,
( leq(host(sK7),host(sK1))
| ~ leq(host(sK5),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_4473,c_4524]) ).
tcf(c_4980,plain,
leq(host(sK7),host(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_4979,c_116]) ).
tcf(c_4982,plain,
( ( host(sK1) = host(sK7) )
| ~ leq(host(sK1),host(sK7)) ),
inference(superposition,[status(thm)],[c_4980,c_105]) ).
tcf(c_4987,plain,
~ leq(host(sK1),host(sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_4982,c_58]) ).
tcf(c_4988,plain,
leq(host(sK5),host(sK1)),
inference(backward_subsumption_resolution,[status(thm)],[c_4114,c_4987]) ).
tcf(c_5086,plain,
( elem(m_Ack(sK7,sK5),queue(host(sK7)))
| ( m_Ack(sK7,sK5) = m_Ldr(sK1) ) ),
inference(superposition,[status(thm)],[c_54,c_96]) ).
tcf(c_5090,plain,
elem(m_Ack(sK7,sK5),queue(host(sK7))),
inference(forward_subsumption_resolution,[status(thm)],[c_5086,c_90]) ).
tcf(c_5096,plain,
( ( host(sK1) = host(sK5) )
| ~ leq(host(sK1),host(sK5)) ),
inference(superposition,[status(thm)],[c_4988,c_105]) ).
tcf(c_5150,plain,
! [X0: $i] :
( ~ setIn(sK7,alive)
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ( host(X0) != host(sK1) ) ),
inference(superposition,[status(thm)],[c_55,c_3778]) ).
tcf(c_5158,plain,
! [X0: $i] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ( host(X0) != host(sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5150,c_51]) ).
tcf(c_5332,plain,
! [X0: $i] :
( leq(X0,host(sK5))
| ( s(host(sK5)) = X0 )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_4552,c_110]) ).
tcf(c_5336,plain,
! [X0: $i] :
( leq(X0,host(sK5))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_5332,c_4552]) ).
tcf(c_12511,plain,
( ( host(sK1) = nbr_proc )
| ( host(sK1) = host(sK5) )
| ~ leq(host(sK1),nbr_proc) ),
inference(superposition,[status(thm)],[c_5336,c_5096]) ).
tcf(c_12554,plain,
( ( host(sK1) = nbr_proc )
| ( host(sK1) = host(sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12511,c_116]) ).
tcf(c_12691,plain,
( ( host(sK1) = nbr_proc )
| ~ elem(m_Ack(sK7,sK5),queue(host(sK7))) ),
inference(superposition,[status(thm)],[c_12554,c_5158]) ).
tcf(c_12769,plain,
host(sK1) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_12691,c_5090]) ).
tcf(c_12828,plain,
elem(m_Down(sK2),queue(nbr_proc)),
inference(demodulation,[status(thm)],[c_3543,c_12769]) ).
tcf(c_12922,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12828,c_4800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n014.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Thu Sep 24 19:48:48 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 5.20/2.46 % SZS status Started for theBenchmark.p
% 5.20/2.46 % SZS status Theorem for theBenchmark.p
% 5.20/2.46
% 5.20/2.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.20/2.46
% 5.20/2.46 % ------ iProver source info
% 5.20/2.46
% 5.20/2.46 % git: date: 2026-07-19 20:42:38 +0200
% 5.20/2.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.20/2.46 % git: non_committed_changes: false
% 5.20/2.46
% 5.20/2.46 % ------ Parsing...
% 5.20/2.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.20/2.46
% 5.20/2.46 % ------ 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 %
% 5.20/2.46
% 5.20/2.46 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.20/2.46
% 5.20/2.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.20/2.46 % ------ Proving...
% 5.20/2.46 % ------ Problem Properties
% 5.20/2.46
% 5.20/2.46 %
% 5.20/2.46 % clauses 96
% 5.20/2.46 % conjectures 35
% 5.20/2.46 % EPR 16
% 5.20/2.46 % Horn 90
% 5.20/2.46 % unary 53
% 5.20/2.46 % binary 21
% 5.20/2.46 % lits 201
% 5.20/2.46 % lits eq 94
% 5.20/2.46 % fd_pure 0
% 5.20/2.46 % fd_pseudo 0
% 5.20/2.46 % fd_cond 0
% 5.20/2.46 % fd_pseudo_cond 12
% 5.20/2.46 % AC symbols 0
% 5.20/2.46
% 5.20/2.46 % ------ Schedule dynamic 5 is on
% 5.20/2.46
% 5.20/2.46 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.20/2.46
% 5.20/2.46
% 5.20/2.46 % ------
% 5.20/2.46 % Current options:
% 5.20/2.46 % ------
% 5.20/2.46
% 5.20/2.46
% 5.20/2.46 %
% 5.20/2.46
% 5.20/2.46 % ------ Proving...
% 5.20/2.46 %
% 5.20/2.46
% 5.20/2.46 % SZS status Theorem for theBenchmark.p
% 5.20/2.46
% 5.20/2.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.20/2.47
% 5.20/2.47
%------------------------------------------------------------------------------