%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 : Sun Sep 27 09:08:00 AM UTC 2026
% Result : Theorem 35.56s 10.01s
% Output : CNFRefutation 35.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 11
% Syntax : Number of formulae : 134 ( 48 unt; 0 def)
% Number of atoms : 886 ( 422 equ)
% Maximal formula atoms : 108 ( 6 avg)
% Number of connectives : 1327 ( 575 ~; 478 |; 224 &)
% ( 4 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 18 con; 0-4 aty)
% Number of variables : 406 ( 25 sgn 240 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_04,axiom,
! [P] : leq(host(P),nbr_proc),
file('theBenchmark.p',axiom_04) ).
fof(axiom_12,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_Down(Z),
file('theBenchmark.p',axiom_12) ).
fof(axiom_31,axiom,
! [X1,X2,Y1,Y2] :
( X1 != X2
=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ),
file('theBenchmark.p',axiom_31) ).
fof(axiom_32,axiom,
! [X1,X2,Y1,Y2] :
( Y1 != Y2
=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ),
file('theBenchmark.p',axiom_32) ).
fof(axiom_38,axiom,
! [Y,Q] : init(snoc(Q,Y)) = Q,
file('theBenchmark.p',axiom_38) ).
fof(axiom_46,axiom,
! [X,Y,Q] :
( elem(X,cons(Y,Q))
<=> ( elem(X,Q)
| X = Y ) ),
file('theBenchmark.p',axiom_46) ).
fof(axiom_47,axiom,
! [X,Y,Q] :
( elem(X,snoc(Q,Y))
<=> ( elem(X,Q)
| X = Y ) ),
file('theBenchmark.p',axiom_47) ).
fof(axiom_60,axiom,
! [X,Y] :
( leq(Y,X)
| leq(X,Y) ),
file('theBenchmark.p',axiom_60) ).
fof(axiom_61,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
<=> X = Y ),
file('theBenchmark.p',axiom_61) ).
fof(axiom_64,axiom,
! [X,Y] :
( leq(X,s(Y))
<=> ( leq(X,Y)
| X = s(Y) ) ),
file('theBenchmark.p',axiom_64) ).
fof(conj,conjecture,
! [V,W,X] :
( ( queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid20,Pid0] :
( ( host(Pid20) = s(index(pendack,host(Pid0)))
& host(Z) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Pid0))))
& elem(m_Down(Pid20),queue(host(Pid0)))
& elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid0) = nbr_proc
& host(Pid0) = host(Z)
& elem(m_Down(Pid20),queue(host(Pid0)))
& ! [V0] :
( ( leq(s(zero),V0)
& ~ leq(host(Pid0),V0) )
=> ( V0 = host(Pid20)
| setIn(V0,index(down,host(Pid0))) ) ) )
=> ~ ( elem(m_Down(Z),queue(host(Y)))
& setIn(Y,alive) ) )
& ! [Y,Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& elem(m_Halt(Pid0),queue(host(Z)))
& setIn(Pid0,alive)
& ~ leq(index(pendack,host(Pid0)),host(Y)) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_2
& index(status,host(Y)) = elec_2
& setIn(Z,alive)
& setIn(Y,alive)
& ~ leq(host(Y),host(Z)) )
=> ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) )
& ! [Y,Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Y)) = elec_2
& host(Pid0) = host(Z)
& setIn(Pid0,alive)
& setIn(Y,alive) )
=> ~ elem(m_Ack(Y,Z),queue(host(Y))) )
& ! [Y,Z,Pid0] :
( ( host(Z) = host(Y)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_2
& index(status,host(Y)) = elec_2
& setIn(Z,alive)
& setIn(Y,alive)
& ~ leq(host(Y),host(Z)) )
=> leq(index(pendack,host(Z)),host(Y)) )
& ! [Y] :
( ( setIn(Y,alive)
& ( index(status,host(Y)) = elec_2
| index(status,host(Y)) = elec_1 ) )
=> index(elid,host(Y)) = Y )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_1
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Y),queue(host(Z))) )
& ! [Y,Z] :
( ( elem(m_Ack(Z,Y),queue(host(Z)))
& setIn(Z,alive) )
=> leq(host(Y),index(pendack,host(Z))) )
& ! [Y,Z] :
( ( host(Z) = host(Y)
& Z != Y )
=> ( ~ setIn(Z,alive)
| ~ setIn(Y,alive) ) )
& ! [Y,Z,Pid0] :
( elem(m_Ack(Pid0,Y),queue(host(Z)))
=> ~ leq(host(Y),host(Pid0)) )
& ! [Y,Z] :
( elem(m_Halt(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) )
& ! [Y,Z] :
( elem(m_Down(Z),queue(host(Y)))
=> host(Z) != host(Y) )
& ! [Y,Z] :
( elem(m_Ldr(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) ) )
=> ( setIn(W,alive)
=> ! [Y] :
( host(W) != host(Y)
=> ! [Z,X0,Y0] :
( host(X) = host(Y0)
=> ( host(W) != host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) ) ) ) ) ) ),
file('theBenchmark.p',conj) ).
fof(conj_neg,negated_conjecture,
~ ! [V,W,X] :
( ( queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid20,Pid0] :
( ( host(Pid20) = s(index(pendack,host(Pid0)))
& host(Z) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Pid0))))
& elem(m_Down(Pid20),queue(host(Pid0)))
& elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid0) = nbr_proc
& host(Pid0) = host(Z)
& elem(m_Down(Pid20),queue(host(Pid0)))
& ! [V0] :
( ( leq(s(zero),V0)
& ~ leq(host(Pid0),V0) )
=> ( V0 = host(Pid20)
| setIn(V0,index(down,host(Pid0))) ) ) )
=> ~ ( elem(m_Down(Z),queue(host(Y)))
& setIn(Y,alive) ) )
& ! [Y,Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& elem(m_Halt(Pid0),queue(host(Z)))
& setIn(Pid0,alive)
& ~ leq(index(pendack,host(Pid0)),host(Y)) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_2
& index(status,host(Y)) = elec_2
& setIn(Z,alive)
& setIn(Y,alive)
& ~ leq(host(Y),host(Z)) )
=> ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) )
& ! [Y,Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Y)) = elec_2
& host(Pid0) = host(Z)
& setIn(Pid0,alive)
& setIn(Y,alive) )
=> ~ elem(m_Ack(Y,Z),queue(host(Y))) )
& ! [Y,Z,Pid0] :
( ( host(Z) = host(Y)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_2
& index(status,host(Y)) = elec_2
& setIn(Z,alive)
& setIn(Y,alive)
& ~ leq(host(Y),host(Z)) )
=> leq(index(pendack,host(Z)),host(Y)) )
& ! [Y] :
( ( setIn(Y,alive)
& ( index(status,host(Y)) = elec_2
| index(status,host(Y)) = elec_1 ) )
=> index(elid,host(Y)) = Y )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_1
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Y),queue(host(Z))) )
& ! [Y,Z] :
( ( elem(m_Ack(Z,Y),queue(host(Z)))
& setIn(Z,alive) )
=> leq(host(Y),index(pendack,host(Z))) )
& ! [Y,Z] :
( ( host(Z) = host(Y)
& Z != Y )
=> ( ~ setIn(Z,alive)
| ~ setIn(Y,alive) ) )
& ! [Y,Z,Pid0] :
( elem(m_Ack(Pid0,Y),queue(host(Z)))
=> ~ leq(host(Y),host(Pid0)) )
& ! [Y,Z] :
( elem(m_Halt(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) )
& ! [Y,Z] :
( elem(m_Down(Z),queue(host(Y)))
=> host(Z) != host(Y) )
& ! [Y,Z] :
( elem(m_Ldr(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) ) )
=> ( setIn(W,alive)
=> ! [Y] :
( host(W) != host(Y)
=> ! [Z,X0,Y0] :
( host(X) = host(Y0)
=> ( host(W) != host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
cnf(c_64,plain,
leq(host(A),nbr_proc),
inference(clausify,[status(thm)],[axiom_04]) ).
cnf(c_77,plain,
m_Down(A) != m_Ack(B,C),
inference(clausify,[status(thm)],[axiom_12]) ).
cnf(c_101,plain,
( m_Ack(A,C) != m_Ack(B,D)
| A = B ),
inference(clausify,[status(thm)],[axiom_31]) ).
cnf(c_102,plain,
( m_Ack(C,A) != m_Ack(D,B)
| A = B ),
inference(clausify,[status(thm)],[axiom_32]) ).
cnf(c_108,plain,
init(snoc(A,B)) = A,
inference(clausify,[status(thm)],[axiom_38]) ).
cnf(c_119,plain,
( B != A
| elem(A,cons(B,C)) ),
inference(clausify,[status(thm)],[axiom_46]) ).
cnf(c_121,plain,
( elem(A,B)
| C = A
| ~ elem(A,snoc(B,C)) ),
inference(clausify,[status(thm)],[axiom_47]) ).
cnf(c_151,plain,
( leq(B,A)
| leq(A,B) ),
inference(clausify,[status(thm)],[axiom_60]) ).
cnf(c_152,plain,
( B = A
| ~ leq(B,A)
| ~ leq(A,B) ),
inference(clausify,[status(thm)],[axiom_61]) ).
cnf(c_158,plain,
( leq(A,B)
| s(B) = A
| ~ leq(A,s(B)) ),
inference(clausify,[status(thm)],[axiom_64]) ).
fof(nnf_58,plain,
? [V,W,X] :
( ? [Y] :
( ? [Z,X0,Y0] :
( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& s(index(pendack,host(Y0))) = host(X0)
& index(pendack,host(Y0)) = host(Z)
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive)
& host(Y0) != host(W)
& host(Y0) = host(X) )
& host(W) != host(Y) )
& setIn(W,alive)
& cons(m_Halt(X),V) = queue(host(W))
& ! [X36,X37,Pid20,Pid0] :
( index(status,host(X36)) != norm
| index(ldr,host(X36)) != host(X36)
| ~ setIn(X36,alive)
| s(index(pendack,host(Pid0))) != host(Pid20)
| index(pendack,host(Pid0)) != host(X37)
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ elem(m_Ack(Pid0,X37),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [X32,X33,X34,X35] :
( ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X32,alive)
| index(status,host(X35)) != elec_1
| host(X35) != nbr_proc
| host(X35) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ? [V0] :
( host(X34) != V0
& ~ setIn(V0,index(down,host(X35)))
& leq(s(zero),V0)
& ~ leq(host(X35),V0) ) )
& ! [X29,X30,X31] :
( index(status,host(X29)) != norm
| index(ldr,host(X29)) != host(X29)
| ~ setIn(X29,alive)
| index(status,host(X31)) != elec_2
| ~ elem(m_Halt(X31),queue(host(X30)))
| ~ setIn(X31,alive)
| leq(index(pendack,host(X31)),host(X29)) )
& ! [X27,X28] :
( ~ leq(index(pendack,host(X27)),index(pendack,host(X28)))
| index(status,host(X28)) != elec_2
| index(status,host(X27)) != elec_2
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| index(status,host(X26)) != elec_2
| index(status,host(X24)) != elec_2
| host(X26) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X21,X22,X23] :
( index(status,host(X21)) != norm
| index(ldr,host(X21)) != host(X21)
| ~ setIn(X21,alive)
| host(X22) != host(X21)
| ~ elem(m_Down(X22),queue(host(X23)))
| ~ setIn(X23,alive) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| index(status,host(X20)) != elec_2
| index(status,host(X19)) != elec_2
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ~ setIn(X18,alive)
| ( index(status,host(X18)) != elec_2
& index(status,host(X18)) != elec_1 ) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| index(status,host(X17)) != elec_1
| ~ setIn(X17,alive) )
& ! [X14,X15] :
( leq(host(X14),index(pendack,host(X15)))
| ~ elem(m_Ack(X15,X14),queue(host(X15)))
| ~ setIn(X15,alive) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X13 = X12 )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Halt(X8),queue(host(X7))) )
& ! [X5,X6] :
( host(X6) != host(X5)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X3,X4] :
( ~ leq(host(X3),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X3))) ) ),
inference(fof_nnf,[status(thm)],[conj_neg]) ).
fof(sk_conj_neg_sk,plain,
( index(status,host(sK3)) = norm
& index(ldr,host(sK3)) = host(sK3)
& setIn(sK3,alive)
& s(index(pendack,host(sK4))) = host(sK5)
& index(pendack,host(sK4)) = host(sK6)
& index(status,host(sK4)) = elec_2
& elem(m_Ack(sK4,sK6),snoc(queue(host(sK4)),m_Ack(sK0,sK2)))
& elem(m_Down(sK5),snoc(queue(host(sK4)),m_Ack(sK0,sK2)))
& leq(nbr_proc,s(index(pendack,host(sK4))))
& setIn(sK4,alive)
& host(sK4) != host(sK2)
& host(sK4) = host(sK0)
& host(sK2) != host(sK3)
& setIn(sK2,alive)
& cons(m_Halt(sK0),sK1) = queue(host(sK2))
& ! [X36,X37,Pid20,Pid0] :
( index(status,host(X36)) != norm
| index(ldr,host(X36)) != host(X36)
| ~ setIn(X36,alive)
| s(index(pendack,host(Pid0))) != host(Pid20)
| index(pendack,host(Pid0)) != host(X37)
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ elem(m_Ack(Pid0,X37),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [X32,X33,X34,X35] :
( ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X32,alive)
| index(status,host(X35)) != elec_1
| host(X35) != nbr_proc
| host(X35) != host(X33)
| ~ elem(m_Down(X34),queue(host(X35)))
| ( host(X34) != sK7(X32,X33,X34,X35)
& ~ setIn(sK7(X32,X33,X34,X35),index(down,host(X35)))
& leq(s(zero),sK7(X32,X33,X34,X35))
& ~ leq(host(X35),sK7(X32,X33,X34,X35)) ) )
& ! [X29,X30,X31] :
( index(status,host(X29)) != norm
| index(ldr,host(X29)) != host(X29)
| ~ setIn(X29,alive)
| index(status,host(X31)) != elec_2
| ~ elem(m_Halt(X31),queue(host(X30)))
| ~ setIn(X31,alive)
| leq(index(pendack,host(X31)),host(X29)) )
& ! [X27,X28] :
( ~ leq(index(pendack,host(X27)),index(pendack,host(X28)))
| index(status,host(X28)) != elec_2
| index(status,host(X27)) != elec_2
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| index(status,host(X26)) != elec_2
| index(status,host(X24)) != elec_2
| host(X26) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive) )
& ! [X21,X22,X23] :
( index(status,host(X21)) != norm
| index(ldr,host(X21)) != host(X21)
| ~ setIn(X21,alive)
| host(X22) != host(X21)
| ~ elem(m_Down(X22),queue(host(X23)))
| ~ setIn(X23,alive) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| index(status,host(X20)) != elec_2
| index(status,host(X19)) != elec_2
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| leq(host(X19),host(X20)) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ~ setIn(X18,alive)
| ( index(status,host(X18)) != elec_2
& index(status,host(X18)) != elec_1 ) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| index(status,host(X17)) != elec_1
| ~ setIn(X17,alive) )
& ! [X14,X15] :
( leq(host(X14),index(pendack,host(X15)))
| ~ elem(m_Ack(X15,X14),queue(host(X15)))
| ~ setIn(X15,alive) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X13 = X12 )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Halt(X8),queue(host(X7))) )
& ! [X5,X6] :
( host(X6) != host(X5)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X3,X4] :
( ~ leq(host(X3),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X3))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(V,sK1),skolemize(W,sK2),skolemize(X,sK0),skolemize(V0,sK7(X32,X33,X34,X35)),skolemize(Y,sK3),skolemize(Z,sK6),skolemize(X0,sK5),skolemize(Y0,sK4)],[nnf_58]) ).
fof(sk_conj_neg,plain,
( index(status,host(sK3)) = norm
& index(ldr,host(sK3)) = host(sK3)
& setIn(sK3,alive)
& s(index(pendack,host(sK4))) = host(sK5)
& index(pendack,host(sK4)) = host(sK6)
& index(status,host(sK4)) = elec_2
& elem(m_Ack(sK4,sK6),snoc(queue(host(sK4)),m_Ack(sK0,sK2)))
& elem(m_Down(sK5),snoc(queue(host(sK4)),m_Ack(sK0,sK2)))
& leq(nbr_proc,s(index(pendack,host(sK4))))
& setIn(sK4,alive)
& host(sK4) != host(sK2)
& host(sK4) = host(sK0)
& host(sK2) != host(sK3)
& setIn(sK2,alive)
& cons(m_Halt(sK0),sK1) = queue(host(sK2))
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( index(status,host(VAR_3)) != norm
| index(ldr,host(VAR_3)) != host(VAR_3)
| ~ setIn(VAR_3,alive)
| s(index(pendack,host(VAR_0))) != host(VAR_2)
| index(pendack,host(VAR_0)) != host(VAR_1)
| index(status,host(VAR_0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(VAR_0))))
| ~ elem(m_Down(VAR_2),queue(host(VAR_0)))
| ~ elem(m_Ack(VAR_0,VAR_1),queue(host(VAR_0)))
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Down(VAR_2),queue(host(VAR_1)))
| ~ setIn(VAR_1,alive)
| index(status,host(VAR_3)) != elec_1
| host(VAR_3) != nbr_proc
| host(VAR_3) != host(VAR_2)
| ~ elem(m_Down(VAR_0),queue(host(VAR_3)))
| host(VAR_0) != sK7(VAR_1,VAR_2,VAR_0,VAR_3) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Down(VAR_1),queue(host(VAR_0)))
| ~ setIn(VAR_0,alive)
| index(status,host(VAR_3)) != elec_1
| host(VAR_3) != nbr_proc
| host(VAR_3) != host(VAR_1)
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| ~ setIn(sK7(VAR_0,VAR_1,VAR_2,VAR_3),index(down,host(VAR_3))) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Down(VAR_1),queue(host(VAR_0)))
| ~ setIn(VAR_0,alive)
| index(status,host(VAR_3)) != elec_1
| host(VAR_3) != nbr_proc
| host(VAR_3) != host(VAR_1)
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| leq(s(zero),sK7(VAR_0,VAR_1,VAR_2,VAR_3)) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Down(VAR_2),queue(host(VAR_1)))
| ~ setIn(VAR_1,alive)
| index(status,host(VAR_0)) != elec_1
| host(VAR_0) != nbr_proc
| host(VAR_0) != host(VAR_2)
| ~ elem(m_Down(VAR_3),queue(host(VAR_0)))
| ~ leq(host(VAR_0),sK7(VAR_1,VAR_2,VAR_3,VAR_0)) )
& ! [VAR_0,VAR_1,VAR_2] :
( index(status,host(VAR_1)) != norm
| index(ldr,host(VAR_1)) != host(VAR_1)
| ~ setIn(VAR_1,alive)
| index(status,host(VAR_0)) != elec_2
| ~ elem(m_Halt(VAR_0),queue(host(VAR_2)))
| ~ setIn(VAR_0,alive)
| leq(index(pendack,host(VAR_0)),host(VAR_1)) )
& ! [VAR_0,VAR_1] :
( ~ leq(index(pendack,host(VAR_0)),index(pendack,host(VAR_1)))
| index(status,host(VAR_1)) != elec_2
| index(status,host(VAR_0)) != elec_2
| ~ setIn(VAR_1,alive)
| ~ setIn(VAR_0,alive)
| leq(host(VAR_0),host(VAR_1)) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ elem(m_Ack(VAR_0,VAR_2),queue(host(VAR_0)))
| index(status,host(VAR_1)) != elec_2
| index(status,host(VAR_0)) != elec_2
| host(VAR_1) != host(VAR_2)
| ~ setIn(VAR_1,alive)
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1,VAR_2] :
( index(status,host(VAR_2)) != norm
| index(ldr,host(VAR_2)) != host(VAR_2)
| ~ setIn(VAR_2,alive)
| host(VAR_1) != host(VAR_2)
| ~ elem(m_Down(VAR_1),queue(host(VAR_0)))
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1] :
( leq(index(pendack,host(VAR_1)),host(VAR_0))
| index(status,host(VAR_1)) != elec_2
| index(status,host(VAR_0)) != elec_2
| ~ setIn(VAR_1,alive)
| ~ setIn(VAR_0,alive)
| leq(host(VAR_0),host(VAR_1)) )
& ! [VAR_0] :
( index(elid,host(VAR_0)) = VAR_0
| ~ setIn(VAR_0,alive)
| index(status,host(VAR_0)) != elec_2 )
& ! [VAR_0] :
( index(elid,host(VAR_0)) = VAR_0
| ~ setIn(VAR_0,alive)
| index(status,host(VAR_0)) != elec_1 )
& ! [VAR_0,VAR_1] :
( ~ elem(m_Ack(VAR_0,VAR_1),queue(host(VAR_0)))
| index(status,host(VAR_0)) != elec_1
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1] :
( leq(host(VAR_1),index(pendack,host(VAR_0)))
| ~ elem(m_Ack(VAR_0,VAR_1),queue(host(VAR_0)))
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1] :
( ~ setIn(VAR_0,alive)
| ~ setIn(VAR_1,alive)
| host(VAR_0) != host(VAR_1)
| VAR_0 = VAR_1 )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ leq(host(VAR_1),host(VAR_0))
| ~ elem(m_Ack(VAR_0,VAR_1),queue(host(VAR_2))) )
& ! [VAR_0,VAR_1] :
( ~ leq(host(VAR_1),host(VAR_0))
| ~ elem(m_Halt(VAR_0),queue(host(VAR_1))) )
& ! [VAR_0,VAR_1] :
( host(VAR_0) != host(VAR_1)
| ~ elem(m_Down(VAR_0),queue(host(VAR_1))) )
& ! [VAR_0,VAR_1] :
( ~ leq(host(VAR_1),host(VAR_0))
| ~ elem(m_Ldr(VAR_0),queue(host(VAR_1))) ) ),
inference(cnf_transformation,[status(thm)],[sk_conj_neg_sk]) ).
cnf(c_171,negated_conjecture,
( index(status,host(C)) != norm
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(B) != host(C)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_174,negated_conjecture,
( index(status,host(B)) != norm
| index(ldr,host(B)) != host(B)
| ~ setIn(B,alive)
| index(status,host(A)) != elec_2
| ~ elem(m_Halt(A),queue(host(C)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(B)) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_180,negated_conjecture,
( index(status,host(D)) != norm
| index(ldr,host(D)) != host(D)
| ~ setIn(D,alive)
| s(index(pendack,host(A))) != host(C)
| index(pendack,host(A)) != host(B)
| index(status,host(A)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(A))))
| ~ elem(m_Down(C),queue(host(A)))
| ~ elem(m_Ack(A,B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_181,negated_conjecture,
cons(m_Halt(sK0),sK1) = queue(host(sK2)),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_182,negated_conjecture,
queue(host(sK2)) = cons(m_Halt(sK0),sK1),
inference(copy,[status(thm)],[c_181]) ).
cnf(c_184,negated_conjecture,
host(sK2) != host(sK3),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_185,negated_conjecture,
host(sK3) != host(sK2),
inference(copy,[status(thm)],[c_184]) ).
cnf(c_186,negated_conjecture,
host(sK4) = host(sK0),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_189,negated_conjecture,
setIn(sK4,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_190,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK4)))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_191,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK0)))),
inference(paramod,[status(thm)],[c_186,c_190]) ).
cnf(c_192,negated_conjecture,
elem(m_Down(sK5),snoc(queue(host(sK4)),m_Ack(sK0,sK2))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_193,negated_conjecture,
elem(m_Down(sK5),snoc(queue(host(sK0)),m_Ack(sK0,sK2))),
inference(paramod,[status(thm)],[c_186,c_192]) ).
cnf(c_194,negated_conjecture,
elem(m_Ack(sK4,sK6),snoc(queue(host(sK4)),m_Ack(sK0,sK2))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_195,negated_conjecture,
elem(m_Ack(sK4,sK6),snoc(queue(host(sK0)),m_Ack(sK0,sK2))),
inference(paramod,[status(thm)],[c_186,c_194]) ).
cnf(c_196,negated_conjecture,
index(status,host(sK4)) = elec_2,
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_11039,negated_conjecture,
index(status,host(sK0)) = elec_2,
inference(paramod,[status(thm)],[c_186,c_196]) ).
cnf(c_197,negated_conjecture,
elec_2 = index(status,host(sK0)),
inference(copy,[status(thm)],[c_11039]) ).
cnf(c_198,negated_conjecture,
index(pendack,host(sK4)) = host(sK6),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_11040,negated_conjecture,
index(pendack,host(sK0)) = host(sK6),
inference(paramod,[status(thm)],[c_186,c_198]) ).
cnf(c_199,negated_conjecture,
host(sK6) = index(pendack,host(sK0)),
inference(copy,[status(thm)],[c_11040]) ).
cnf(c_200,negated_conjecture,
s(index(pendack,host(sK4))) = host(sK5),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_201,negated_conjecture,
s(index(pendack,host(sK0))) = host(sK5),
inference(paramod,[status(thm)],[c_186,c_200]) ).
cnf(c_202,negated_conjecture,
setIn(sK3,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_203,negated_conjecture,
index(ldr,host(sK3)) = host(sK3),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_204,negated_conjecture,
index(status,host(sK3)) = norm,
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_205,negated_conjecture,
norm = index(status,host(sK3)),
inference(copy,[status(thm)],[c_204]) ).
cnf(c_11041,negated_conjecture,
( index(status,host(D)) != norm
| index(ldr,host(D)) != host(D)
| ~ setIn(D,alive)
| s(index(pendack,host(A))) != host(C)
| index(pendack,host(A)) != host(B)
| index(status,host(A)) != index(status,host(sK0))
| ~ leq(nbr_proc,s(index(pendack,host(A))))
| ~ elem(m_Down(C),queue(host(A)))
| ~ elem(m_Ack(A,B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_197,c_180]) ).
cnf(c_11042,negated_conjecture,
( index(status,host(D)) != index(status,host(sK3))
| index(ldr,host(D)) != host(D)
| ~ setIn(D,alive)
| s(index(pendack,host(A))) != host(C)
| index(pendack,host(A)) != host(B)
| index(status,host(A)) != index(status,host(sK0))
| ~ leq(nbr_proc,s(index(pendack,host(A))))
| ~ elem(m_Down(C),queue(host(A)))
| ~ elem(m_Ack(A,B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_205,c_11041]) ).
cnf(c_11043,negated_conjecture,
( index(status,host(D)) != index(status,host(sK3))
| index(ldr,host(D)) != host(D)
| ~ setIn(D,alive)
| s(index(pendack,host(A))) != host(C)
| index(pendack,host(A)) != host(B)
| index(status,host(sK0)) != index(status,host(A))
| ~ leq(nbr_proc,s(index(pendack,host(A))))
| ~ elem(m_Down(C),queue(host(A)))
| ~ elem(m_Ack(A,B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_11042]) ).
cnf(c_213,negated_conjecture,
( index(status,host(sK3)) != index(status,host(D))
| index(ldr,host(D)) != host(D)
| ~ setIn(D,alive)
| s(index(pendack,host(A))) != host(C)
| index(pendack,host(A)) != host(B)
| index(status,host(sK0)) != index(status,host(A))
| ~ leq(nbr_proc,s(index(pendack,host(A))))
| ~ elem(m_Down(C),queue(host(A)))
| ~ elem(m_Ack(A,B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_11043]) ).
cnf(c_11044,negated_conjecture,
( index(status,host(B)) != norm
| index(ldr,host(B)) != host(B)
| ~ setIn(B,alive)
| index(status,host(A)) != index(status,host(sK0))
| ~ elem(m_Halt(A),queue(host(C)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(B)) ),
inference(paramod,[status(thm)],[c_197,c_174]) ).
cnf(c_11045,negated_conjecture,
( index(status,host(B)) != index(status,host(sK3))
| index(ldr,host(B)) != host(B)
| ~ setIn(B,alive)
| index(status,host(A)) != index(status,host(sK0))
| ~ elem(m_Halt(A),queue(host(C)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(B)) ),
inference(paramod,[status(thm)],[c_205,c_11044]) ).
cnf(c_11046,negated_conjecture,
( index(status,host(B)) != index(status,host(sK3))
| index(ldr,host(B)) != host(B)
| ~ setIn(B,alive)
| index(status,host(sK0)) != index(status,host(A))
| ~ elem(m_Halt(A),queue(host(C)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(B)) ),
inference(copy,[status(thm)],[c_11045]) ).
cnf(c_214,negated_conjecture,
( index(status,host(sK3)) != index(status,host(B))
| index(ldr,host(B)) != host(B)
| ~ setIn(B,alive)
| index(status,host(sK0)) != index(status,host(A))
| ~ elem(m_Halt(A),queue(host(C)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(B)) ),
inference(copy,[status(thm)],[c_11046]) ).
cnf(c_222,negated_conjecture,
leq(nbr_proc,host(sK5)),
inference(paramod,[status(thm)],[c_201,c_191]) ).
cnf(c_11047,negated_conjecture,
( index(status,host(C)) != index(status,host(sK3))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(B) != host(C)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_205,c_171]) ).
cnf(c_223,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(B) != host(C)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_11047]) ).
cnf(c_11048,plain,
elem(A,cons(init(snoc(A,B)),C)),
inference(resolve,[status(thm)],[c_119,c_108]) ).
cnf(c_251,plain,
elem(A,cons(A,B)),
inference(paramod,[status(thm)],[c_108,c_11048]) ).
cnf(c_11049,plain,
( nbr_proc = host(A)
| ~ leq(nbr_proc,host(A)) ),
inference(resolve,[status(thm)],[c_152,c_64]) ).
cnf(c_288,plain,
( host(A) = nbr_proc
| ~ leq(nbr_proc,host(A)) ),
inference(copy,[status(thm)],[c_11049]) ).
cnf(c_306,plain,
( leq(s(A),B)
| leq(B,A)
| s(A) = B ),
inference(resolve,[status(thm)],[c_158,c_151]) ).
cnf(c_11050,negated_conjecture,
( elem(m_Down(sK5),queue(host(sK0)))
| m_Ack(sK0,sK2) = m_Down(sK5) ),
inference(resolve,[status(thm)],[c_193,c_121]) ).
cnf(c_11051,negated_conjecture,
( elem(m_Down(sK5),queue(host(sK0)))
| m_Down(sK5) = m_Ack(sK0,sK2) ),
inference(copy,[status(thm)],[c_11050]) ).
cnf(c_337,negated_conjecture,
elem(m_Down(sK5),queue(host(sK0))),
inference(resolve,[status(thm)],[c_77,c_11051]) ).
cnf(c_11052,negated_conjecture,
( elem(m_Ack(sK4,sK6),queue(host(sK0)))
| m_Ack(sK0,sK2) = m_Ack(sK4,sK6) ),
inference(resolve,[status(thm)],[c_195,c_121]) ).
cnf(c_342,negated_conjecture,
( elem(m_Ack(sK4,sK6),queue(host(sK0)))
| m_Ack(sK4,sK6) = m_Ack(sK0,sK2) ),
inference(copy,[status(thm)],[c_11052]) ).
cnf(c_11053,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK4)) != host(A)
| index(status,host(sK0)) != index(status,host(sK4))
| ~ leq(nbr_proc,s(index(pendack,host(sK4))))
| ~ elem(m_Down(B),queue(host(sK4)))
| ~ elem(m_Ack(sK4,A),queue(host(sK4))) ),
inference(resolve,[status(thm)],[c_213,c_189]) ).
cnf(c_11054,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK4)) != host(A)
| index(status,host(sK0)) != index(status,host(sK4))
| ~ leq(nbr_proc,s(index(pendack,host(sK4))))
| ~ elem(m_Down(B),queue(host(sK4)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11053]) ).
cnf(c_11055,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK4)) != host(A)
| index(status,host(sK0)) != index(status,host(sK4))
| ~ leq(nbr_proc,s(index(pendack,host(sK4))))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11054]) ).
cnf(c_11056,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK4)) != host(A)
| index(status,host(sK0)) != index(status,host(sK4))
| ~ leq(nbr_proc,s(index(pendack,host(sK0))))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11055]) ).
cnf(c_11057,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK4)) != host(A)
| index(status,host(sK0)) != index(status,host(sK4))
| ~ leq(nbr_proc,host(sK5))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_201,c_11056]) ).
cnf(c_11058,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK4)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK5))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11057]) ).
cnf(c_11059,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK4))) != host(B)
| index(pendack,host(sK0)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK5))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11058]) ).
cnf(c_11060,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK0))) != host(B)
| index(pendack,host(sK0)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK5))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11059]) ).
cnf(c_11061,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(sK5) != host(B)
| index(pendack,host(sK0)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK5))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_201,c_11060]) ).
cnf(c_11062,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(sK5) != host(B)
| index(pendack,host(sK0)) != host(A)
| ~ leq(nbr_proc,host(sK5))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_11061]) ).
cnf(c_368,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(sK5) != host(B)
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(resolve,[status(thm)],[c_222,c_11062]) ).
cnf(c_11063,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| index(ldr,host(sK3)) != host(sK3)
| index(status,host(sK0)) != index(status,host(A))
| ~ elem(m_Halt(A),queue(host(B)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(sK3)) ),
inference(resolve,[status(thm)],[c_214,c_202]) ).
cnf(c_11064,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| host(sK3) != host(sK3)
| index(status,host(sK0)) != index(status,host(A))
| ~ elem(m_Halt(A),queue(host(B)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(sK3)) ),
inference(paramod,[status(thm)],[c_203,c_11063]) ).
cnf(c_11065,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| index(status,host(sK0)) != index(status,host(A))
| ~ elem(m_Halt(A),queue(host(B)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(sK3)) ),
inference(copy,[status(thm)],[c_11064]) ).
cnf(c_373,negated_conjecture,
( index(status,host(sK0)) != index(status,host(A))
| ~ elem(m_Halt(A),queue(host(B)))
| ~ setIn(A,alive)
| leq(index(pendack,host(A)),host(sK3)) ),
inference(copy,[status(thm)],[c_11065]) ).
cnf(c_11066,negated_conjecture,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc) ),
inference(resolve,[status(thm)],[c_222,c_152]) ).
cnf(c_11067,negated_conjecture,
( host(sK5) = nbr_proc
| ~ leq(host(sK5),nbr_proc) ),
inference(copy,[status(thm)],[c_11066]) ).
cnf(c_393,negated_conjecture,
host(sK5) = nbr_proc,
inference(resolve,[status(thm)],[c_64,c_11067]) ).
cnf(c_11068,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| nbr_proc != host(B)
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_393,c_368]) ).
cnf(c_394,negated_conjecture,
( index(status,host(sK3)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_11068]) ).
cnf(c_403,negated_conjecture,
s(index(pendack,host(sK0))) = nbr_proc,
inference(paramod,[status(thm)],[c_393,c_201]) ).
cnf(c_11069,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| index(ldr,host(sK3)) != host(sK3)
| host(B) != host(sK3)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(resolve,[status(thm)],[c_223,c_202]) ).
cnf(c_11070,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| host(sK3) != host(sK3)
| host(B) != host(sK3)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_203,c_11069]) ).
cnf(c_11071,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| host(sK3) != host(sK3)
| host(sK3) != host(B)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_11070]) ).
cnf(c_11072,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| host(sK3) != host(B)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_11071]) ).
cnf(c_407,negated_conjecture,
( host(sK3) != host(B)
| ~ elem(m_Down(B),queue(host(A)))
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_11072]) ).
cnf(c_11073,negated_conjecture,
( host(sK3) != host(A)
| ~ elem(m_Down(A),queue(host(sK4))) ),
inference(resolve,[status(thm)],[c_407,c_189]) ).
cnf(c_605,negated_conjecture,
( host(sK3) != host(A)
| ~ elem(m_Down(A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_11073]) ).
cnf(c_11074,plain,
host(sK3) != host(sK5),
inference(resolve,[status(thm)],[c_337,c_605]) ).
cnf(c_608,plain,
host(sK3) != nbr_proc,
inference(paramod,[status(thm)],[c_393,c_11074]) ).
cnf(c_11075,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| index(ldr,host(sK3)) != host(sK3)
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(resolve,[status(thm)],[c_394,c_202]) ).
cnf(c_11076,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| host(sK3) != host(sK3)
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_203,c_11075]) ).
cnf(c_11077,negated_conjecture,
( index(status,host(sK3)) != index(status,host(sK3))
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_11076]) ).
cnf(c_1072,negated_conjecture,
( host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_11077]) ).
cnf(c_11078,plain,
( host(sK5) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(resolve,[status(thm)],[c_1072,c_337]) ).
cnf(c_11079,plain,
( nbr_proc != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_393,c_11078]) ).
cnf(c_1073,plain,
( index(pendack,host(sK0)) != host(A)
| ~ elem(m_Ack(sK4,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_11079]) ).
cnf(c_11080,plain,
( leq(nbr_proc,A)
| leq(A,index(pendack,host(sK0)))
| s(index(pendack,host(sK0))) = A ),
inference(paramod,[status(thm)],[c_403,c_306]) ).
cnf(c_2190,plain,
( leq(nbr_proc,A)
| leq(A,index(pendack,host(sK0)))
| nbr_proc = A ),
inference(paramod,[status(thm)],[c_403,c_11080]) ).
cnf(c_11081,plain,
( index(pendack,host(sK0)) != host(sK6)
| m_Ack(sK4,sK6) = m_Ack(sK0,sK2) ),
inference(resolve,[status(thm)],[c_342,c_1073]) ).
cnf(c_11082,plain,
( index(pendack,host(sK0)) != index(pendack,host(sK0))
| m_Ack(sK4,sK6) = m_Ack(sK0,sK2) ),
inference(paramod,[status(thm)],[c_199,c_11081]) ).
cnf(c_2777,plain,
m_Ack(sK4,sK6) = m_Ack(sK0,sK2),
inference(copy,[status(thm)],[c_11082]) ).
cnf(c_2800,plain,
sK6 = sK2,
inference(resolve,[status(thm)],[c_2777,c_102]) ).
cnf(c_2801,plain,
sK4 = sK0,
inference(resolve,[status(thm)],[c_2777,c_101]) ).
cnf(c_11083,negated_conjecture,
host(sK2) = index(pendack,host(sK0)),
inference(paramod,[status(thm)],[c_2800,c_199]) ).
cnf(c_2809,negated_conjecture,
index(pendack,host(sK0)) = host(sK2),
inference(copy,[status(thm)],[c_11083]) ).
cnf(c_2892,negated_conjecture,
setIn(sK0,alive),
inference(paramod,[status(thm)],[c_2801,c_189]) ).
cnf(c_2910,plain,
( leq(nbr_proc,A)
| leq(A,host(sK2))
| nbr_proc = A ),
inference(paramod,[status(thm)],[c_2809,c_2190]) ).
cnf(c_11084,negated_conjecture,
( index(status,host(sK0)) != index(status,host(sK0))
| ~ elem(m_Halt(sK0),queue(host(A)))
| leq(index(pendack,host(sK0)),host(sK3)) ),
inference(resolve,[status(thm)],[c_373,c_2892]) ).
cnf(c_11085,negated_conjecture,
( index(status,host(sK0)) != index(status,host(sK0))
| ~ elem(m_Halt(sK0),queue(host(A)))
| leq(host(sK2),host(sK3)) ),
inference(paramod,[status(thm)],[c_2809,c_11084]) ).
cnf(c_3043,negated_conjecture,
( ~ elem(m_Halt(sK0),queue(host(A)))
| leq(host(sK2),host(sK3)) ),
inference(copy,[status(thm)],[c_11085]) ).
cnf(c_11086,plain,
( host(A) = nbr_proc
| leq(host(A),host(sK2))
| nbr_proc = host(A) ),
inference(resolve,[status(thm)],[c_2910,c_288]) ).
cnf(c_11087,plain,
( host(A) = nbr_proc
| leq(host(A),host(sK2))
| host(A) = nbr_proc ),
inference(copy,[status(thm)],[c_11086]) ).
cnf(c_4994,plain,
( leq(host(A),host(sK2))
| host(A) = nbr_proc ),
inference(copy,[status(thm)],[c_11087]) ).
cnf(c_11088,plain,
( ~ elem(m_Halt(sK0),cons(m_Halt(sK0),sK1))
| leq(host(sK2),host(sK3)) ),
inference(paramod,[status(thm)],[c_182,c_3043]) ).
cnf(c_11016,plain,
leq(host(sK2),host(sK3)),
inference(resolve,[status(thm)],[c_251,c_11088]) ).
cnf(c_11089,plain,
( host(sK2) = host(sK3)
| ~ leq(host(sK3),host(sK2)) ),
inference(resolve,[status(thm)],[c_11016,c_152]) ).
cnf(c_11090,plain,
( host(sK3) = host(sK2)
| ~ leq(host(sK3),host(sK2)) ),
inference(copy,[status(thm)],[c_11089]) ).
cnf(c_11035,negated_conjecture,
~ leq(host(sK3),host(sK2)),
inference(resolve,[status(thm)],[c_185,c_11090]) ).
cnf(c_11091,plain,
host(sK3) = nbr_proc,
inference(resolve,[status(thm)],[c_11035,c_4994]) ).
cnf(c_11038,plain,
$false,
inference(resolve,[status(thm)],[c_608,c_11091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 26 13:55:44 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.38 % Process 1481900 was started by sandbox2 on n019,
% 0.09/5.38 % Sat Sep 26 13:55:44 2026
% 0.09/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/5.40
% 0.15/5.40 % From the command line: assign(max_seconds, 300).
% 35.56/10.01
% 35.56/10.01 % given #500 (T,wt=10): 325 -elem(m_Ack(c7,A),queue(host(c3))) | setIn(A,pids). [para(186(a,1),60(a,2,1))].
% 35.56/10.01
% 35.56/10.01 % given #1000 (T,wt=11): 1564 leq(s(zero),s(s(s(s(s(s(host(A)))))))). [resolve(576,a,1059,a)].
% 35.56/10.01
% 35.56/10.01 % SZS status Theorem for theBenchmark
% 35.56/10.01
% 35.56/10.01 % Proof 1 at 3.77 (+ 0.79) seconds.
% 35.56/10.01 % Length of proof is 77.
% 35.56/10.01 % Level of proof is 14.
% 35.56/10.01 % Maximum clause weight is 66.000.
% 35.56/10.01 % Given clauses 1149.
% 35.56/10.01
% 35.56/10.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------