%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV465+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 : n005.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 09:08:01 AM UTC 2026
% Result : Theorem 0.14s 5.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of formulae : 94 ( 44 unt; 0 def)
% Number of atoms : 741 ( 359 equ)
% Maximal formula atoms : 108 ( 7 avg)
% Number of connectives : 1119 ( 472 ~; 376 |; 224 &)
% ( 3 <=>; 44 =>; 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 : 31 ( 31 usr; 18 con; 0-4 aty)
% Number of variables : 325 ( 9 sgn 228 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_04,axiom,
! [P] : leq(host(P),nbr_proc),
file('theBenchmark.p',axiom_04) ).
fof(axiom_13,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_NotNorm(Z),
file('theBenchmark.p',axiom_13) ).
fof(axiom_19,axiom,
! [X,Y] : m_Down(X) != m_NotNorm(Y),
file('theBenchmark.p',axiom_19) ).
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_61,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
<=> X = Y ),
file('theBenchmark.p',axiom_61) ).
fof(conj,conjecture,
! [V,W,X] :
( ( queue(host(X)) = cons(m_NormQ(W),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(X,alive)
=> ( index(status,host(X)) != norm
=> ! [Y,Z,X0,Y0] :
( host(W) = host(Y0)
=> ( host(X) = host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& 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(X)) = cons(m_NormQ(W),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(X,alive)
=> ( index(status,host(X)) != norm
=> ! [Y,Z,X0,Y0] :
( host(W) = host(Y0)
=> ( host(X) = host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& 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_78,plain,
m_NotNorm(A) != m_Ack(B,C),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_84,plain,
m_NotNorm(A) != m_Down(B),
inference(clausify,[status(thm)],[axiom_19]) ).
cnf(c_120,plain,
( ~ elem(A,C)
| 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_152,plain,
( B = A
| ~ leq(B,A)
| ~ leq(A,B) ),
inference(clausify,[status(thm)],[axiom_61]) ).
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
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& setIn(Y0,alive)
& host(Y0) = host(X)
& host(Y0) = host(W) )
& index(status,host(X)) != norm
& setIn(X,alive)
& cons(m_NormQ(W),V) = queue(host(X))
& ! [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(sK6)) = norm
& index(ldr,host(sK6)) = host(sK6)
& setIn(sK6,alive)
& s(index(pendack,host(sK3))) = host(sK4)
& index(pendack,host(sK3)) = host(sK5)
& index(status,host(sK3)) = elec_2
& leq(nbr_proc,s(index(pendack,host(sK3))))
& elem(m_Ack(sK3,sK5),snoc(sK1,m_NotNorm(sK0)))
& elem(m_Down(sK4),snoc(sK1,m_NotNorm(sK0)))
& setIn(sK3,alive)
& host(sK3) = host(sK2)
& host(sK3) = host(sK0)
& index(status,host(sK2)) != norm
& setIn(sK2,alive)
& cons(m_NormQ(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,sK0),skolemize(X,sK2),skolemize(V0,sK7(X32,X33,X34,X35)),skolemize(Y,sK6),skolemize(Z,sK5),skolemize(X0,sK4),skolemize(Y0,sK3)],[nnf_58]) ).
fof(sk_conj_neg,plain,
( index(status,host(sK6)) = norm
& index(ldr,host(sK6)) = host(sK6)
& setIn(sK6,alive)
& s(index(pendack,host(sK3))) = host(sK4)
& index(pendack,host(sK3)) = host(sK5)
& index(status,host(sK3)) = elec_2
& leq(nbr_proc,s(index(pendack,host(sK3))))
& elem(m_Ack(sK3,sK5),snoc(sK1,m_NotNorm(sK0)))
& elem(m_Down(sK4),snoc(sK1,m_NotNorm(sK0)))
& setIn(sK3,alive)
& host(sK3) = host(sK2)
& host(sK3) = host(sK0)
& index(status,host(sK2)) != norm
& setIn(sK2,alive)
& cons(m_NormQ(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_169,negated_conjecture,
( index(elid,host(A)) = A
| ~ setIn(A,alive)
| index(status,host(A)) != elec_2 ),
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_NormQ(sK0),sK1) = queue(host(sK2)),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_182,negated_conjecture,
setIn(sK2,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_184,negated_conjecture,
host(sK3) = host(sK0),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_185,negated_conjecture,
host(sK3) = host(sK2),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_1070,negated_conjecture,
host(sK0) = host(sK2),
inference(paramod,[status(thm)],[c_184,c_185]) ).
cnf(c_186,negated_conjecture,
host(sK2) = host(sK0),
inference(copy,[status(thm)],[c_1070]) ).
cnf(c_187,negated_conjecture,
setIn(sK3,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_188,negated_conjecture,
elem(m_Down(sK4),snoc(sK1,m_NotNorm(sK0))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_189,negated_conjecture,
elem(m_Ack(sK3,sK5),snoc(sK1,m_NotNorm(sK0))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_190,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK3)))),
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_184,c_190]) ).
cnf(c_192,negated_conjecture,
index(status,host(sK3)) = elec_2,
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_1071,negated_conjecture,
index(status,host(sK0)) = elec_2,
inference(paramod,[status(thm)],[c_184,c_192]) ).
cnf(c_193,negated_conjecture,
elec_2 = index(status,host(sK0)),
inference(copy,[status(thm)],[c_1071]) ).
cnf(c_194,negated_conjecture,
index(pendack,host(sK3)) = host(sK5),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_1072,negated_conjecture,
index(pendack,host(sK0)) = host(sK5),
inference(paramod,[status(thm)],[c_184,c_194]) ).
cnf(c_195,negated_conjecture,
host(sK5) = index(pendack,host(sK0)),
inference(copy,[status(thm)],[c_1072]) ).
cnf(c_196,negated_conjecture,
s(index(pendack,host(sK3))) = host(sK4),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_197,negated_conjecture,
s(index(pendack,host(sK0))) = host(sK4),
inference(paramod,[status(thm)],[c_184,c_196]) ).
cnf(c_198,negated_conjecture,
setIn(sK6,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_199,negated_conjecture,
index(ldr,host(sK6)) = host(sK6),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_200,negated_conjecture,
index(status,host(sK6)) = norm,
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_201,negated_conjecture,
norm = index(status,host(sK6)),
inference(copy,[status(thm)],[c_200]) ).
cnf(c_210,negated_conjecture,
cons(m_NormQ(sK0),sK1) = queue(host(sK0)),
inference(paramod,[status(thm)],[c_186,c_181]) ).
cnf(c_1073,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_193,c_180]) ).
cnf(c_1074,negated_conjecture,
( index(status,host(D)) != index(status,host(sK6))
| 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_201,c_1073]) ).
cnf(c_1075,negated_conjecture,
( index(status,host(D)) != index(status,host(sK6))
| 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_1074]) ).
cnf(c_211,negated_conjecture,
( index(status,host(sK6)) != 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_1075]) ).
cnf(c_1076,negated_conjecture,
( index(elid,host(A)) = A
| ~ setIn(A,alive)
| index(status,host(A)) != index(status,host(sK0)) ),
inference(paramod,[status(thm)],[c_193,c_169]) ).
cnf(c_216,negated_conjecture,
( index(elid,host(A)) = A
| ~ setIn(A,alive)
| index(status,host(sK0)) != index(status,host(A)) ),
inference(copy,[status(thm)],[c_1076]) ).
cnf(c_219,negated_conjecture,
leq(nbr_proc,host(sK4)),
inference(paramod,[status(thm)],[c_197,c_191]) ).
cnf(c_1077,negated_conjecture,
( elem(m_Down(sK4),sK1)
| m_NotNorm(sK0) = m_Down(sK4) ),
inference(resolve,[status(thm)],[c_188,c_121]) ).
cnf(c_328,negated_conjecture,
elem(m_Down(sK4),sK1),
inference(resolve,[status(thm)],[c_84,c_1077]) ).
cnf(c_1078,negated_conjecture,
( elem(m_Ack(sK3,sK5),sK1)
| m_NotNorm(sK0) = m_Ack(sK3,sK5) ),
inference(resolve,[status(thm)],[c_189,c_121]) ).
cnf(c_333,negated_conjecture,
elem(m_Ack(sK3,sK5),sK1),
inference(resolve,[status(thm)],[c_78,c_1078]) ).
cnf(c_1079,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK2)) != host(A)
| index(status,host(sK0)) != index(status,host(sK2))
| ~ leq(nbr_proc,s(index(pendack,host(sK2))))
| ~ elem(m_Down(B),queue(host(sK2)))
| ~ elem(m_Ack(sK2,A),queue(host(sK2))) ),
inference(resolve,[status(thm)],[c_211,c_182]) ).
cnf(c_1080,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK2)) != host(A)
| index(status,host(sK0)) != index(status,host(sK2))
| ~ leq(nbr_proc,s(index(pendack,host(sK2))))
| ~ elem(m_Down(B),queue(host(sK2)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_1079]) ).
cnf(c_1081,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK2)) != host(A)
| index(status,host(sK0)) != index(status,host(sK2))
| ~ leq(nbr_proc,s(index(pendack,host(sK2))))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_1080]) ).
cnf(c_1082,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK2)) != host(A)
| index(status,host(sK0)) != index(status,host(sK2))
| ~ leq(nbr_proc,s(index(pendack,host(sK0))))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_1081]) ).
cnf(c_1083,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK2)) != host(A)
| index(status,host(sK0)) != index(status,host(sK2))
| ~ leq(nbr_proc,host(sK4))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_197,c_1082]) ).
cnf(c_1084,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK2)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK4))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_1083]) ).
cnf(c_1085,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| s(index(pendack,host(sK2))) != host(B)
| index(pendack,host(sK0)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK4))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_1084]) ).
cnf(c_1086,negated_conjecture,
( index(status,host(sK6)) != 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(sK4))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_186,c_1085]) ).
cnf(c_1087,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(sK4) != host(B)
| index(pendack,host(sK0)) != host(A)
| index(status,host(sK0)) != index(status,host(sK0))
| ~ leq(nbr_proc,host(sK4))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_197,c_1086]) ).
cnf(c_1088,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(sK4) != host(B)
| index(pendack,host(sK0)) != host(A)
| ~ leq(nbr_proc,host(sK4))
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_1087]) ).
cnf(c_363,negated_conjecture,
( index(status,host(sK6)) != index(status,host(C))
| index(ldr,host(C)) != host(C)
| ~ setIn(C,alive)
| host(sK4) != host(B)
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(resolve,[status(thm)],[c_219,c_1088]) ).
cnf(c_1089,negated_conjecture,
( index(elid,host(sK3)) = sK3
| index(status,host(sK0)) != index(status,host(sK3)) ),
inference(resolve,[status(thm)],[c_216,c_187]) ).
cnf(c_1090,negated_conjecture,
( index(elid,host(sK3)) = sK3
| index(status,host(sK0)) != index(status,host(sK0)) ),
inference(paramod,[status(thm)],[c_184,c_1089]) ).
cnf(c_1091,negated_conjecture,
( index(elid,host(sK0)) = sK3
| index(status,host(sK0)) != index(status,host(sK0)) ),
inference(paramod,[status(thm)],[c_184,c_1090]) ).
cnf(c_375,negated_conjecture,
index(elid,host(sK0)) = sK3,
inference(copy,[status(thm)],[c_1091]) ).
cnf(c_1092,negated_conjecture,
( index(elid,host(sK2)) = sK2
| index(status,host(sK0)) != index(status,host(sK2)) ),
inference(resolve,[status(thm)],[c_216,c_182]) ).
cnf(c_1093,negated_conjecture,
( index(elid,host(sK2)) = sK2
| index(status,host(sK0)) != index(status,host(sK0)) ),
inference(paramod,[status(thm)],[c_186,c_1092]) ).
cnf(c_1094,negated_conjecture,
( index(elid,host(sK0)) = sK2
| index(status,host(sK0)) != index(status,host(sK0)) ),
inference(paramod,[status(thm)],[c_186,c_1093]) ).
cnf(c_1095,negated_conjecture,
( sK3 = sK2
| index(status,host(sK0)) != index(status,host(sK0)) ),
inference(paramod,[status(thm)],[c_375,c_1094]) ).
cnf(c_376,negated_conjecture,
sK3 = sK2,
inference(copy,[status(thm)],[c_1095]) ).
cnf(c_379,negated_conjecture,
elem(m_Ack(sK2,sK5),sK1),
inference(paramod,[status(thm)],[c_376,c_333]) ).
cnf(c_1096,negated_conjecture,
( nbr_proc = host(sK4)
| ~ leq(host(sK4),nbr_proc) ),
inference(resolve,[status(thm)],[c_219,c_152]) ).
cnf(c_1097,negated_conjecture,
( host(sK4) = nbr_proc
| ~ leq(host(sK4),nbr_proc) ),
inference(copy,[status(thm)],[c_1096]) ).
cnf(c_388,negated_conjecture,
host(sK4) = nbr_proc,
inference(resolve,[status(thm)],[c_64,c_1097]) ).
cnf(c_1098,negated_conjecture,
( index(status,host(sK6)) != 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(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_388,c_363]) ).
cnf(c_389,negated_conjecture,
( index(status,host(sK6)) != 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(sK2,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_1098]) ).
cnf(c_452,plain,
elem(m_Down(sK4),cons(A,sK1)),
inference(resolve,[status(thm)],[c_328,c_120]) ).
cnf(c_532,plain,
elem(m_Ack(sK2,sK5),cons(A,sK1)),
inference(resolve,[status(thm)],[c_379,c_120]) ).
cnf(c_645,plain,
elem(m_Down(sK4),queue(host(sK0))),
inference(paramod,[status(thm)],[c_210,c_452]) ).
cnf(c_1099,negated_conjecture,
( index(status,host(sK6)) != index(status,host(sK6))
| index(ldr,host(sK6)) != host(sK6)
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(resolve,[status(thm)],[c_389,c_198]) ).
cnf(c_1100,negated_conjecture,
( index(status,host(sK6)) != index(status,host(sK6))
| host(sK6) != host(sK6)
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_199,c_1099]) ).
cnf(c_1101,negated_conjecture,
( index(status,host(sK6)) != index(status,host(sK6))
| host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_1100]) ).
cnf(c_778,negated_conjecture,
( host(B) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Down(B),queue(host(sK0)))
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_1101]) ).
cnf(c_1102,plain,
( host(sK4) != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(resolve,[status(thm)],[c_645,c_778]) ).
cnf(c_1103,plain,
( nbr_proc != nbr_proc
| index(pendack,host(sK0)) != host(A)
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(paramod,[status(thm)],[c_388,c_1102]) ).
cnf(c_789,plain,
( index(pendack,host(sK0)) != host(A)
| ~ elem(m_Ack(sK2,A),queue(host(sK0))) ),
inference(copy,[status(thm)],[c_1103]) ).
cnf(c_990,plain,
elem(m_Ack(sK2,sK5),queue(host(sK0))),
inference(paramod,[status(thm)],[c_210,c_532]) ).
cnf(c_1104,plain,
index(pendack,host(sK0)) != host(sK5),
inference(resolve,[status(thm)],[c_990,c_789]) ).
cnf(c_1105,plain,
index(pendack,host(sK0)) != index(pendack,host(sK0)),
inference(paramod,[status(thm)],[c_195,c_1104]) ).
cnf(c_1069,plain,
$false,
inference(copy,[status(thm)],[c_1105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV465+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n005.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 13:55:08 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.38 % Process 2309663 was started by sandbox2 on n005,
% 0.10/5.38 % Sat Sep 26 13:55:08 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.40
% 0.14/5.40 % From the command line: assign(max_seconds, 300).
% 0.14/5.62
% 0.14/5.62 % SZS status Theorem for theBenchmark
% 0.14/5.62
% 0.14/5.62 % Proof 1 at 0.14 (+ 0.05) seconds.
% 0.14/5.62 % Length of proof is 54.
% 0.14/5.62 % Level of proof is 9.
% 0.14/5.62 % Maximum clause weight is 66.000.
% 0.14/5.62 % Given clauses 283.
% 0.14/5.62
% 0.14/5.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------