%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV478+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 : n026.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 09:08:03 AM UTC 2026
% Result : Theorem 212.98s 28.59s
% Output : CNFRefutation 212.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 100 ( 43 unt; 0 def)
% Number of atoms : 893 ( 401 equ)
% Maximal formula atoms : 175 ( 8 avg)
% Number of connectives : 1275 ( 482 ~; 426 |; 305 &)
% ( 4 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 21 con; 0-4 aty)
% Number of variables : 367 ( 12 sgn 289 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_02,axiom,
! [P] : leq(s(zero),host(P)),
file('theBenchmark.p',axiom_02) ).
fof(axiom_04,axiom,
! [P] : leq(host(P),nbr_proc),
file('theBenchmark.p',axiom_04) ).
fof(axiom_18,axiom,
! [X,Y] : m_Down(X) != m_Ldr(Y),
file('theBenchmark.p',axiom_18) ).
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_58,axiom,
! [X] : ~ leq(s(X),X),
file('theBenchmark.p',axiom_58) ).
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,Y] :
( ( queue(host(X)) = cons(m_Down(Y),V)
& ! [Z,Pid30,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid30) = s(host(Pid0))
& elem(m_Down(Pid30),queue(host(Pid0)))
& elem(m_Down(Pid20),queue(host(Pid0)))
& leq(nbr_proc,s(host(Pid0)))
& setIn(Pid0,alive)
& ! [V0] :
( ( leq(s(zero),V0)
& ~ leq(host(Pid0),V0) )
=> ( V0 = host(Pid20)
| setIn(V0,index(down,host(Pid0))) ) ) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& index(status,host(Z)) = elec_2
& host(Pid30) = host(Pid0)
& elem(m_Down(Pid20),queue(host(Pid0)))
& leq(host(Z),host(Pid0))
& setIn(Z,alive)
& ! [V0] :
( ( leq(s(zero),V0)
& ~ leq(host(Pid0),V0) )
=> ( V0 = host(Pid20)
| setIn(V0,index(down,host(Pid0))) ) ) )
=> ~ elem(m_Ack(Z,Pid30),queue(host(Z))) )
& ! [Z,Pid20,Pid0] :
( ( host(index(elid,host(Pid0))) = host(Pid20)
& index(status,host(Pid0)) = wait
& host(Pid20) = host(Z)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive)
& host(Pid0) != host(Pid20) )
=> ~ ( index(ldr,host(Pid20)) = host(Pid20)
& index(status,host(Pid20)) = norm
& setIn(Pid20,alive) ) )
& ! [Z,Pid20,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid20)
& index(status,host(Pid0)) = norm
& host(Pid20) = host(Z)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive)
& host(Pid0) != host(Pid20) )
=> ~ ( index(ldr,host(Pid20)) = host(Pid20)
& index(status,host(Pid20)) = norm
& setIn(Pid20,alive) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( host(Pid0) = host(Pid20)
& host(Pid30) = host(Z)
& setIn(Pid20,alive)
& setIn(Z,alive)
& host(Pid20) != host(Z) )
=> ~ ( setIn(host(Pid30),index(down,host(Pid20)))
& elem(m_Down(Pid0),queue(host(Z))) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( host(Pid0) = host(Pid20)
& host(Pid30) = host(Z)
& setIn(Pid20,alive)
& setIn(Z,alive)
& host(Pid20) != host(Z) )
=> ~ ( elem(m_Down(Pid30),queue(host(Pid20)))
& elem(m_Down(Pid0),queue(host(Z))) ) )
& ! [Z,Pid20,Pid0] :
( ( host(Pid20) = host(Z)
& elem(m_Down(Pid20),queue(host(Pid0)))
& setIn(Pid0,alive)
& ~ leq(host(Pid20),host(Pid0)) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid0)
& index(status,host(Pid0)) = norm
& index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> Pid0 = Z )
& ! [Z,Pid20,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid0)
& index(status,host(Pid0)) = norm
& host(Pid20) = host(Pid0)
& setIn(Pid0,alive) )
=> ~ ( elem(m_Down(Pid20),queue(host(Z)))
& setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& host(Pid0) = host(Pid20)
& elem(m_Down(Pid20),queue(host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid0)
& index(status,host(Pid0)) = norm
& setIn(Pid0,alive) )
=> ~ ( setIn(host(Pid0),index(down,host(Z)))
& setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& setIn(host(Pid0),index(down,host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z] :
( ( setIn(Z,alive)
& ( index(status,host(Z)) = elec_2
| index(status,host(Z)) = elec_1 ) )
=> index(elid,host(Z)) = Z )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( elem(m_Down(Pid0),queue(host(Z)))
=> host(Pid0) != host(Z) )
& ! [Z,Pid0] :
( elem(m_Ldr(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) ) )
=> ( setIn(X,alive)
=> ( leq(host(X),host(Y))
=> ( ( host(Y) = index(pendack,host(X))
& index(status,host(X)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X)))
=> ! [Z] :
( setIn(host(Z),index(acks,host(X)))
=> ! [V0] :
( host(X) = host(V0)
=> ! [W0,X0,Y0] :
( host(Z) = host(Y0)
=> ( host(X) != host(Y0)
=> ( ( index(status,host(Y0)) = elec_1
& host(W0) = s(host(Y0))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))
& elem(m_Down(W0),snoc(queue(host(Y0)),m_Ldr(X)))
& leq(nbr_proc,s(host(Y0)))
& setIn(Y0,alive)
& ! [V1] :
( ( leq(s(zero),V1)
& ~ leq(host(Y0),V1) )
=> ( V1 = host(X0)
| setIn(V1,index(down,host(Y0))) ) ) )
=> ~ ( host(X) = host(V0)
& setIn(V0,alive) ) ) ) ) ) ) ) ) ) ) ),
file('theBenchmark.p',conj) ).
fof(conj_neg,negated_conjecture,
~ ! [V,W,X,Y] :
( ( queue(host(X)) = cons(m_Down(Y),V)
& ! [Z,Pid30,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid30) = s(host(Pid0))
& elem(m_Down(Pid30),queue(host(Pid0)))
& elem(m_Down(Pid20),queue(host(Pid0)))
& leq(nbr_proc,s(host(Pid0)))
& setIn(Pid0,alive)
& ! [V0] :
( ( leq(s(zero),V0)
& ~ leq(host(Pid0),V0) )
=> ( V0 = host(Pid20)
| setIn(V0,index(down,host(Pid0))) ) ) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& index(status,host(Z)) = elec_2
& host(Pid30) = host(Pid0)
& elem(m_Down(Pid20),queue(host(Pid0)))
& leq(host(Z),host(Pid0))
& setIn(Z,alive)
& ! [V0] :
( ( leq(s(zero),V0)
& ~ leq(host(Pid0),V0) )
=> ( V0 = host(Pid20)
| setIn(V0,index(down,host(Pid0))) ) ) )
=> ~ elem(m_Ack(Z,Pid30),queue(host(Z))) )
& ! [Z,Pid20,Pid0] :
( ( host(index(elid,host(Pid0))) = host(Pid20)
& index(status,host(Pid0)) = wait
& host(Pid20) = host(Z)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive)
& host(Pid0) != host(Pid20) )
=> ~ ( index(ldr,host(Pid20)) = host(Pid20)
& index(status,host(Pid20)) = norm
& setIn(Pid20,alive) ) )
& ! [Z,Pid20,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid20)
& index(status,host(Pid0)) = norm
& host(Pid20) = host(Z)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive)
& host(Pid0) != host(Pid20) )
=> ~ ( index(ldr,host(Pid20)) = host(Pid20)
& index(status,host(Pid20)) = norm
& setIn(Pid20,alive) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( host(Pid0) = host(Pid20)
& host(Pid30) = host(Z)
& setIn(Pid20,alive)
& setIn(Z,alive)
& host(Pid20) != host(Z) )
=> ~ ( setIn(host(Pid30),index(down,host(Pid20)))
& elem(m_Down(Pid0),queue(host(Z))) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( host(Pid0) = host(Pid20)
& host(Pid30) = host(Z)
& setIn(Pid20,alive)
& setIn(Z,alive)
& host(Pid20) != host(Z) )
=> ~ ( elem(m_Down(Pid30),queue(host(Pid20)))
& elem(m_Down(Pid0),queue(host(Z))) ) )
& ! [Z,Pid20,Pid0] :
( ( host(Pid20) = host(Z)
& elem(m_Down(Pid20),queue(host(Pid0)))
& setIn(Pid0,alive)
& ~ leq(host(Pid20),host(Pid0)) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid0)
& index(status,host(Pid0)) = norm
& index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> Pid0 = Z )
& ! [Z,Pid20,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid0)
& index(status,host(Pid0)) = norm
& host(Pid20) = host(Pid0)
& setIn(Pid0,alive) )
=> ~ ( elem(m_Down(Pid20),queue(host(Z)))
& setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& host(Pid0) = host(Pid20)
& elem(m_Down(Pid20),queue(host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid0] :
( ( index(ldr,host(Pid0)) = host(Pid0)
& index(status,host(Pid0)) = norm
& setIn(Pid0,alive) )
=> ~ ( setIn(host(Pid0),index(down,host(Z)))
& setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& setIn(host(Pid0),index(down,host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z] :
( ( setIn(Z,alive)
& ( index(status,host(Z)) = elec_2
| index(status,host(Z)) = elec_1 ) )
=> index(elid,host(Z)) = Z )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( elem(m_Down(Pid0),queue(host(Z)))
=> host(Pid0) != host(Z) )
& ! [Z,Pid0] :
( elem(m_Ldr(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) ) )
=> ( setIn(X,alive)
=> ( leq(host(X),host(Y))
=> ( ( host(Y) = index(pendack,host(X))
& index(status,host(X)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X)))
=> ! [Z] :
( setIn(host(Z),index(acks,host(X)))
=> ! [V0] :
( host(X) = host(V0)
=> ! [W0,X0,Y0] :
( host(Z) = host(Y0)
=> ( host(X) != host(Y0)
=> ( ( index(status,host(Y0)) = elec_1
& host(W0) = s(host(Y0))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))
& elem(m_Down(W0),snoc(queue(host(Y0)),m_Ldr(X)))
& leq(nbr_proc,s(host(Y0)))
& setIn(Y0,alive)
& ! [V1] :
( ( leq(s(zero),V1)
& ~ leq(host(Y0),V1) )
=> ( V1 = host(X0)
| setIn(V1,index(down,host(Y0))) ) ) )
=> ~ ( host(X) = host(V0)
& setIn(V0,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
cnf(c_62,plain,
leq(s(zero),host(A)),
inference(clausify,[status(thm)],[axiom_02]) ).
cnf(c_64,plain,
leq(host(A),nbr_proc),
inference(clausify,[status(thm)],[axiom_04]) ).
cnf(c_81,plain,
m_Ldr(A) != m_Down(B),
inference(clausify,[status(thm)],[axiom_18]) ).
cnf(c_106,plain,
init(snoc(A,B)) = A,
inference(clausify,[status(thm)],[axiom_38]) ).
cnf(c_117,plain,
( B != A
| elem(A,cons(B,C)) ),
inference(clausify,[status(thm)],[axiom_46]) ).
cnf(c_119,plain,
( elem(A,B)
| C = A
| ~ elem(A,snoc(B,C)) ),
inference(clausify,[status(thm)],[axiom_47]) ).
cnf(c_147,plain,
~ leq(s(A),A),
inference(clausify,[status(thm)],[axiom_58]) ).
cnf(c_150,plain,
( B = A
| ~ leq(B,A)
| ~ leq(A,B) ),
inference(clausify,[status(thm)],[axiom_61]) ).
cnf(c_156,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] :
( ? [V0] :
( ? [W0,X0,Y0] :
( host(V0) = host(X)
& setIn(V0,alive)
& index(status,host(Y0)) = elec_1
& s(host(Y0)) = host(W0)
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))
& elem(m_Down(W0),snoc(queue(host(Y0)),m_Ldr(X)))
& leq(nbr_proc,s(host(Y0)))
& setIn(Y0,alive)
& ! [V1] :
( host(X0) = V1
| setIn(V1,index(down,host(Y0)))
| ~ leq(s(zero),V1)
| leq(host(Y0),V1) )
& host(Y0) != host(X)
& host(Y0) = host(Z) )
& host(V0) = host(X) )
& setIn(host(Z),index(acks,host(X))) )
& leq(nbr_proc,index(pendack,host(X)))
& index(pendack,host(X)) = host(Y)
& index(status,host(X)) = elec_2
& leq(host(X),host(Y))
& setIn(X,alive)
& cons(m_Down(Y),V) = queue(host(X))
& ! [X44,Pid30,Pid20,Pid0] :
( index(status,host(X44)) != norm
| index(ldr,host(X44)) != host(X44)
| ~ setIn(X44,alive)
| index(status,host(Pid0)) != elec_1
| s(host(Pid0)) != host(Pid30)
| ~ elem(m_Down(Pid30),queue(host(Pid0)))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ leq(nbr_proc,s(host(Pid0)))
| ~ setIn(Pid0,alive)
| ? [X45] :
( host(Pid20) != X45
& ~ setIn(X45,index(down,host(Pid0)))
& leq(s(zero),X45)
& ~ leq(host(Pid0),X45) ) )
& ! [X39,X40,X41,X42] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| index(status,host(X42)) != elec_1
| index(status,host(X39)) != elec_2
| host(X40) != host(X42)
| ~ elem(m_Down(X41),queue(host(X42)))
| ~ leq(host(X39),host(X42))
| ~ setIn(X39,alive)
| ? [X43] :
( host(X41) != X43
& ~ setIn(X43,index(down,host(X42)))
& leq(s(zero),X43)
& ~ leq(host(X42),X43) ) )
& ! [X36,X37,X38] :
( index(ldr,host(X37)) != host(X37)
| index(status,host(X37)) != norm
| ~ setIn(X37,alive)
| host(index(elid,host(X38))) != host(X37)
| index(status,host(X38)) != wait
| host(X37) != host(X36)
| ~ elem(m_Down(X36),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X37) = host(X38) )
& ! [X33,X34,X35] :
( index(ldr,host(X34)) != host(X34)
| index(status,host(X34)) != norm
| ~ setIn(X34,alive)
| index(ldr,host(X35)) != host(X34)
| index(status,host(X35)) != norm
| host(X34) != host(X33)
| ~ elem(m_Down(X33),queue(host(X35)))
| ~ setIn(X35,alive)
| host(X34) = host(X35) )
& ! [X29,X30,X31,X32] :
( ~ setIn(host(X30),index(down,host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X31) != host(X32)
| host(X30) != host(X29)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X31) = host(X29) )
& ! [X25,X26,X27,X28] :
( ~ elem(m_Down(X26),queue(host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X22,X23,X24] :
( index(status,host(X22)) != norm
| index(ldr,host(X22)) != host(X22)
| ~ setIn(X22,alive)
| host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X24,alive)
| leq(host(X23),host(X24)) )
& ! [X20,X21] :
( X21 = X20
| index(ldr,host(X21)) != host(X21)
| index(status,host(X21)) != norm
| index(status,host(X20)) != norm
| index(ldr,host(X20)) != host(X20)
| ~ setIn(X21,alive)
| ~ setIn(X20,alive) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| index(ldr,host(X19)) != host(X19)
| index(status,host(X19)) != norm
| host(X18) != host(X19)
| ~ setIn(X19,alive) )
& ! [X14,X15,X16] :
( leq(index(pendack,host(X16)),host(X14))
| index(status,host(X16)) != elec_2
| host(X15) != host(X16)
| ~ elem(m_Down(X15),queue(host(X14)))
| ~ setIn(X16,alive)
| ~ setIn(X14,alive) )
& ! [X12,X13] :
( ~ setIn(host(X13),index(down,host(X12)))
| ~ setIn(X12,alive)
| index(ldr,host(X13)) != host(X13)
| index(status,host(X13)) != norm
| ~ setIn(X13,alive) )
& ! [X10,X11] :
( leq(index(pendack,host(X11)),host(X10))
| index(status,host(X11)) != elec_2
| ~ setIn(host(X11),index(down,host(X10)))
| ~ setIn(X11,alive)
| ~ setIn(X10,alive) )
& ! [X9] :
( index(elid,host(X9)) = X9
| ~ setIn(X9,alive)
| ( index(status,host(X9)) != elec_2
& index(status,host(X9)) != elec_1 ) )
& ! [X7,X8] :
( ~ setIn(X8,alive)
| ~ setIn(X7,alive)
| host(X8) != host(X7)
| X8 = 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,
( host(sK9) = host(sK2)
& setIn(sK9,alive)
& index(status,host(sK3)) = elec_1
& s(host(sK3)) = host(sK6)
& elem(m_Down(sK5),snoc(queue(host(sK3)),m_Ldr(sK2)))
& elem(m_Down(sK6),snoc(queue(host(sK3)),m_Ldr(sK2)))
& leq(nbr_proc,s(host(sK3)))
& setIn(sK3,alive)
& ! [V1] :
( host(sK5) = V1
| setIn(V1,index(down,host(sK3)))
| ~ leq(s(zero),V1)
| leq(host(sK3),V1) )
& host(sK3) != host(sK2)
& host(sK3) = host(sK4)
& host(sK9) = host(sK2)
& setIn(host(sK4),index(acks,host(sK2)))
& leq(nbr_proc,index(pendack,host(sK2)))
& index(pendack,host(sK2)) = host(sK0)
& index(status,host(sK2)) = elec_2
& leq(host(sK2),host(sK0))
& setIn(sK2,alive)
& cons(m_Down(sK0),sK1) = queue(host(sK2))
& ! [X44,Pid30,Pid20,Pid0] :
( index(status,host(X44)) != norm
| index(ldr,host(X44)) != host(X44)
| ~ setIn(X44,alive)
| index(status,host(Pid0)) != elec_1
| s(host(Pid0)) != host(Pid30)
| ~ elem(m_Down(Pid30),queue(host(Pid0)))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ leq(nbr_proc,s(host(Pid0)))
| ~ setIn(Pid0,alive)
| ( host(Pid20) != sK8(X44,Pid30,Pid20,Pid0)
& ~ setIn(sK8(X44,Pid30,Pid20,Pid0),index(down,host(Pid0)))
& leq(s(zero),sK8(X44,Pid30,Pid20,Pid0))
& ~ leq(host(Pid0),sK8(X44,Pid30,Pid20,Pid0)) ) )
& ! [X39,X40,X41,X42] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| index(status,host(X42)) != elec_1
| index(status,host(X39)) != elec_2
| host(X40) != host(X42)
| ~ elem(m_Down(X41),queue(host(X42)))
| ~ leq(host(X39),host(X42))
| ~ setIn(X39,alive)
| ( host(X41) != sK7(X39,X40,X41,X42)
& ~ setIn(sK7(X39,X40,X41,X42),index(down,host(X42)))
& leq(s(zero),sK7(X39,X40,X41,X42))
& ~ leq(host(X42),sK7(X39,X40,X41,X42)) ) )
& ! [X36,X37,X38] :
( index(ldr,host(X37)) != host(X37)
| index(status,host(X37)) != norm
| ~ setIn(X37,alive)
| host(index(elid,host(X38))) != host(X37)
| index(status,host(X38)) != wait
| host(X37) != host(X36)
| ~ elem(m_Down(X36),queue(host(X38)))
| ~ setIn(X38,alive)
| host(X37) = host(X38) )
& ! [X33,X34,X35] :
( index(ldr,host(X34)) != host(X34)
| index(status,host(X34)) != norm
| ~ setIn(X34,alive)
| index(ldr,host(X35)) != host(X34)
| index(status,host(X35)) != norm
| host(X34) != host(X33)
| ~ elem(m_Down(X33),queue(host(X35)))
| ~ setIn(X35,alive)
| host(X34) = host(X35) )
& ! [X29,X30,X31,X32] :
( ~ setIn(host(X30),index(down,host(X31)))
| ~ elem(m_Down(X32),queue(host(X29)))
| host(X31) != host(X32)
| host(X30) != host(X29)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| host(X31) = host(X29) )
& ! [X25,X26,X27,X28] :
( ~ elem(m_Down(X26),queue(host(X27)))
| ~ elem(m_Down(X28),queue(host(X25)))
| host(X27) != host(X28)
| host(X26) != host(X25)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X27) = host(X25) )
& ! [X22,X23,X24] :
( index(status,host(X22)) != norm
| index(ldr,host(X22)) != host(X22)
| ~ setIn(X22,alive)
| host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X24,alive)
| leq(host(X23),host(X24)) )
& ! [X20,X21] :
( X21 = X20
| index(ldr,host(X21)) != host(X21)
| index(status,host(X21)) != norm
| index(status,host(X20)) != norm
| index(ldr,host(X20)) != host(X20)
| ~ setIn(X21,alive)
| ~ setIn(X20,alive) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| index(ldr,host(X19)) != host(X19)
| index(status,host(X19)) != norm
| host(X18) != host(X19)
| ~ setIn(X19,alive) )
& ! [X14,X15,X16] :
( leq(index(pendack,host(X16)),host(X14))
| index(status,host(X16)) != elec_2
| host(X15) != host(X16)
| ~ elem(m_Down(X15),queue(host(X14)))
| ~ setIn(X16,alive)
| ~ setIn(X14,alive) )
& ! [X12,X13] :
( ~ setIn(host(X13),index(down,host(X12)))
| ~ setIn(X12,alive)
| index(ldr,host(X13)) != host(X13)
| index(status,host(X13)) != norm
| ~ setIn(X13,alive) )
& ! [X10,X11] :
( leq(index(pendack,host(X11)),host(X10))
| index(status,host(X11)) != elec_2
| ~ setIn(host(X11),index(down,host(X10)))
| ~ setIn(X11,alive)
| ~ setIn(X10,alive) )
& ! [X9] :
( index(elid,host(X9)) = X9
| ~ setIn(X9,alive)
| ( index(status,host(X9)) != elec_2
& index(status,host(X9)) != elec_1 ) )
& ! [X7,X8] :
( ~ setIn(X8,alive)
| ~ setIn(X7,alive)
| host(X8) != host(X7)
| X8 = 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,sK8,sK0,sK1,sK2,sK4,sK9,sK3,sK5,sK6]),skolemize(V,sK1),skolemize(W,sK10),skolemize(X,sK2),skolemize(Y,sK0),skolemize(X43,sK7(X39,X40,X41,X42)),skolemize(X45,sK8(X44,Pid30,Pid20,Pid0)),skolemize(Z,sK4),skolemize(V0,sK9),skolemize(W0,sK6),skolemize(X0,sK5),skolemize(Y0,sK3)],[nnf_58]) ).
fof(sk_conj_neg,plain,
( setIn(sK9,alive)
& index(status,host(sK3)) = elec_1
& s(host(sK3)) = host(sK6)
& elem(m_Down(sK5),snoc(queue(host(sK3)),m_Ldr(sK2)))
& elem(m_Down(sK6),snoc(queue(host(sK3)),m_Ldr(sK2)))
& leq(nbr_proc,s(host(sK3)))
& setIn(sK3,alive)
& ! [VAR_0] :
( host(sK5) = VAR_0
| setIn(VAR_0,index(down,host(sK3)))
| ~ leq(s(zero),VAR_0)
| leq(host(sK3),VAR_0) )
& host(sK3) != host(sK2)
& host(sK3) = host(sK4)
& host(sK9) = host(sK2)
& setIn(host(sK4),index(acks,host(sK2)))
& leq(nbr_proc,index(pendack,host(sK2)))
& index(pendack,host(sK2)) = host(sK0)
& index(status,host(sK2)) = elec_2
& leq(host(sK2),host(sK0))
& setIn(sK2,alive)
& cons(m_Down(sK0),sK1) = queue(host(sK2))
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( index(status,host(VAR_1)) != norm
| index(ldr,host(VAR_1)) != host(VAR_1)
| ~ setIn(VAR_1,alive)
| index(status,host(VAR_3)) != elec_1
| s(host(VAR_3)) != host(VAR_2)
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| ~ elem(m_Down(VAR_0),queue(host(VAR_3)))
| ~ leq(nbr_proc,s(host(VAR_3)))
| ~ setIn(VAR_3,alive)
| host(VAR_0) != sK8(VAR_1,VAR_2,VAR_0,VAR_3) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( index(status,host(VAR_0)) != norm
| index(ldr,host(VAR_0)) != host(VAR_0)
| ~ setIn(VAR_0,alive)
| index(status,host(VAR_3)) != elec_1
| s(host(VAR_3)) != host(VAR_1)
| ~ elem(m_Down(VAR_1),queue(host(VAR_3)))
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| ~ leq(nbr_proc,s(host(VAR_3)))
| ~ setIn(VAR_3,alive)
| ~ setIn(sK8(VAR_0,VAR_1,VAR_2,VAR_3),index(down,host(VAR_3))) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( index(status,host(VAR_0)) != norm
| index(ldr,host(VAR_0)) != host(VAR_0)
| ~ setIn(VAR_0,alive)
| index(status,host(VAR_3)) != elec_1
| s(host(VAR_3)) != host(VAR_1)
| ~ elem(m_Down(VAR_1),queue(host(VAR_3)))
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| ~ leq(nbr_proc,s(host(VAR_3)))
| ~ setIn(VAR_3,alive)
| leq(s(zero),sK8(VAR_0,VAR_1,VAR_2,VAR_3)) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( index(status,host(VAR_1)) != norm
| index(ldr,host(VAR_1)) != host(VAR_1)
| ~ setIn(VAR_1,alive)
| index(status,host(VAR_0)) != elec_1
| s(host(VAR_0)) != host(VAR_2)
| ~ elem(m_Down(VAR_2),queue(host(VAR_0)))
| ~ elem(m_Down(VAR_3),queue(host(VAR_0)))
| ~ leq(nbr_proc,s(host(VAR_0)))
| ~ setIn(VAR_0,alive)
| ~ leq(host(VAR_0),sK8(VAR_1,VAR_2,VAR_3,VAR_0)) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Ack(VAR_1,VAR_2),queue(host(VAR_1)))
| index(status,host(VAR_3)) != elec_1
| index(status,host(VAR_1)) != elec_2
| host(VAR_2) != host(VAR_3)
| ~ elem(m_Down(VAR_0),queue(host(VAR_3)))
| ~ leq(host(VAR_1),host(VAR_3))
| ~ setIn(VAR_1,alive)
| host(VAR_0) != sK7(VAR_1,VAR_2,VAR_0,VAR_3) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Ack(VAR_0,VAR_1),queue(host(VAR_0)))
| index(status,host(VAR_3)) != elec_1
| index(status,host(VAR_0)) != elec_2
| host(VAR_1) != host(VAR_3)
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| ~ leq(host(VAR_0),host(VAR_3))
| ~ setIn(VAR_0,alive)
| ~ 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_Ack(VAR_0,VAR_1),queue(host(VAR_0)))
| index(status,host(VAR_3)) != elec_1
| index(status,host(VAR_0)) != elec_2
| host(VAR_1) != host(VAR_3)
| ~ elem(m_Down(VAR_2),queue(host(VAR_3)))
| ~ leq(host(VAR_0),host(VAR_3))
| ~ setIn(VAR_0,alive)
| leq(s(zero),sK7(VAR_0,VAR_1,VAR_2,VAR_3)) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Ack(VAR_1,VAR_2),queue(host(VAR_1)))
| index(status,host(VAR_0)) != elec_1
| index(status,host(VAR_1)) != elec_2
| host(VAR_2) != host(VAR_0)
| ~ elem(m_Down(VAR_3),queue(host(VAR_0)))
| ~ leq(host(VAR_1),host(VAR_0))
| ~ setIn(VAR_1,alive)
| ~ leq(host(VAR_0),sK7(VAR_1,VAR_2,VAR_3,VAR_0)) )
& ! [VAR_0,VAR_1,VAR_2] :
( index(ldr,host(VAR_0)) != host(VAR_0)
| index(status,host(VAR_0)) != norm
| ~ setIn(VAR_0,alive)
| host(index(elid,host(VAR_1))) != host(VAR_0)
| index(status,host(VAR_1)) != wait
| host(VAR_0) != host(VAR_2)
| ~ elem(m_Down(VAR_2),queue(host(VAR_1)))
| ~ setIn(VAR_1,alive)
| host(VAR_0) = host(VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( index(ldr,host(VAR_0)) != host(VAR_0)
| index(status,host(VAR_0)) != norm
| ~ setIn(VAR_0,alive)
| index(ldr,host(VAR_1)) != host(VAR_0)
| index(status,host(VAR_1)) != norm
| host(VAR_0) != host(VAR_2)
| ~ elem(m_Down(VAR_2),queue(host(VAR_1)))
| ~ setIn(VAR_1,alive)
| host(VAR_0) = host(VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ setIn(host(VAR_2),index(down,host(VAR_0)))
| ~ elem(m_Down(VAR_3),queue(host(VAR_1)))
| host(VAR_0) != host(VAR_3)
| host(VAR_2) != host(VAR_1)
| ~ setIn(VAR_0,alive)
| ~ setIn(VAR_1,alive)
| host(VAR_0) = host(VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ elem(m_Down(VAR_2),queue(host(VAR_0)))
| ~ elem(m_Down(VAR_3),queue(host(VAR_1)))
| host(VAR_0) != host(VAR_3)
| host(VAR_2) != host(VAR_1)
| ~ setIn(VAR_0,alive)
| ~ setIn(VAR_1,alive)
| host(VAR_0) = host(VAR_1) )
& ! [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_0) != host(VAR_2)
| ~ elem(m_Down(VAR_0),queue(host(VAR_1)))
| ~ setIn(VAR_1,alive)
| leq(host(VAR_0),host(VAR_1)) )
& ! [VAR_0,VAR_1] :
( VAR_1 = VAR_0
| index(ldr,host(VAR_1)) != host(VAR_1)
| index(status,host(VAR_1)) != norm
| index(status,host(VAR_0)) != norm
| index(ldr,host(VAR_0)) != host(VAR_0)
| ~ setIn(VAR_1,alive)
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ elem(m_Down(VAR_1),queue(host(VAR_2)))
| ~ setIn(VAR_2,alive)
| index(ldr,host(VAR_0)) != host(VAR_0)
| index(status,host(VAR_0)) != norm
| host(VAR_1) != host(VAR_0)
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1,VAR_2] :
( leq(index(pendack,host(VAR_1)),host(VAR_0))
| index(status,host(VAR_1)) != elec_2
| host(VAR_2) != host(VAR_1)
| ~ elem(m_Down(VAR_2),queue(host(VAR_0)))
| ~ setIn(VAR_1,alive)
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1] :
( ~ setIn(host(VAR_0),index(down,host(VAR_1)))
| ~ setIn(VAR_1,alive)
| index(ldr,host(VAR_0)) != host(VAR_0)
| index(status,host(VAR_0)) != norm
| ~ setIn(VAR_0,alive) )
& ! [VAR_0,VAR_1] :
( leq(index(pendack,host(VAR_1)),host(VAR_0))
| index(status,host(VAR_1)) != elec_2
| ~ setIn(host(VAR_1),index(down,host(VAR_0)))
| ~ setIn(VAR_1,alive)
| ~ setIn(VAR_0,alive) )
& ! [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] :
( ~ setIn(VAR_0,alive)
| ~ setIn(VAR_1,alive)
| host(VAR_0) != host(VAR_1)
| VAR_0 = 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_160,negated_conjecture,
( host(A) != host(B)
| ~ elem(m_Down(A),queue(host(B))) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_164,negated_conjecture,
( leq(index(pendack,host(B)),host(A))
| index(status,host(B)) != elec_2
| ~ setIn(host(B),index(down,host(A)))
| ~ setIn(B,alive)
| ~ setIn(A,alive) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_166,negated_conjecture,
( leq(index(pendack,host(B)),host(A))
| index(status,host(B)) != elec_2
| host(C) != host(B)
| ~ elem(m_Down(C),queue(host(A)))
| ~ setIn(B,alive)
| ~ setIn(A,alive) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_183,negated_conjecture,
cons(m_Down(sK0),sK1) = queue(host(sK2)),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_184,negated_conjecture,
queue(host(sK2)) = cons(m_Down(sK0),sK1),
inference(copy,[status(thm)],[c_183]) ).
cnf(c_185,negated_conjecture,
setIn(sK2,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_187,negated_conjecture,
index(status,host(sK2)) = elec_2,
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_188,negated_conjecture,
elec_2 = index(status,host(sK2)),
inference(copy,[status(thm)],[c_187]) ).
cnf(c_189,negated_conjecture,
index(pendack,host(sK2)) = host(sK0),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_190,negated_conjecture,
host(sK0) = index(pendack,host(sK2)),
inference(copy,[status(thm)],[c_189]) ).
cnf(c_191,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK2))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_194,negated_conjecture,
host(sK3) = host(sK4),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_195,negated_conjecture,
host(sK3) != host(sK2),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_196,negated_conjecture,
host(sK4) != host(sK2),
inference(paramod,[status(thm)],[c_194,c_195]) ).
cnf(c_197,negated_conjecture,
( host(sK5) = A
| setIn(A,index(down,host(sK3)))
| ~ leq(s(zero),A)
| leq(host(sK3),A) ),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_3809,negated_conjecture,
( host(sK5) = A
| setIn(A,index(down,host(sK3)))
| ~ leq(s(zero),A)
| leq(host(sK4),A) ),
inference(paramod,[status(thm)],[c_194,c_197]) ).
cnf(c_198,negated_conjecture,
( host(sK5) = A
| setIn(A,index(down,host(sK4)))
| ~ leq(s(zero),A)
| leq(host(sK4),A) ),
inference(paramod,[status(thm)],[c_194,c_3809]) ).
cnf(c_199,negated_conjecture,
setIn(sK3,alive),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_200,negated_conjecture,
leq(nbr_proc,s(host(sK3))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_201,negated_conjecture,
leq(nbr_proc,s(host(sK4))),
inference(paramod,[status(thm)],[c_194,c_200]) ).
cnf(c_204,negated_conjecture,
elem(m_Down(sK5),snoc(queue(host(sK3)),m_Ldr(sK2))),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_205,negated_conjecture,
elem(m_Down(sK5),snoc(queue(host(sK4)),m_Ldr(sK2))),
inference(paramod,[status(thm)],[c_194,c_204]) ).
cnf(c_206,negated_conjecture,
s(host(sK3)) = host(sK6),
inference(split_conjunct,[status(thm)],[sk_conj_neg]) ).
cnf(c_207,negated_conjecture,
s(host(sK4)) = host(sK6),
inference(paramod,[status(thm)],[c_194,c_206]) ).
cnf(c_3810,negated_conjecture,
( leq(index(pendack,host(B)),host(A))
| index(status,host(B)) != index(status,host(sK2))
| host(C) != host(B)
| ~ elem(m_Down(C),queue(host(A)))
| ~ setIn(B,alive)
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_188,c_166]) ).
cnf(c_226,negated_conjecture,
( leq(index(pendack,host(B)),host(A))
| index(status,host(sK2)) != index(status,host(B))
| host(C) != host(B)
| ~ elem(m_Down(C),queue(host(A)))
| ~ setIn(B,alive)
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_3810]) ).
cnf(c_3811,negated_conjecture,
( leq(index(pendack,host(B)),host(A))
| index(status,host(B)) != index(status,host(sK2))
| ~ setIn(host(B),index(down,host(A)))
| ~ setIn(B,alive)
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_188,c_164]) ).
cnf(c_227,negated_conjecture,
( leq(index(pendack,host(B)),host(A))
| index(status,host(sK2)) != index(status,host(B))
| ~ setIn(host(B),index(down,host(A)))
| ~ setIn(B,alive)
| ~ setIn(A,alive) ),
inference(copy,[status(thm)],[c_3811]) ).
cnf(c_233,negated_conjecture,
leq(nbr_proc,host(sK6)),
inference(paramod,[status(thm)],[c_207,c_201]) ).
cnf(c_3812,plain,
elem(A,cons(init(snoc(A,B)),C)),
inference(resolve,[status(thm)],[c_117,c_106]) ).
cnf(c_271,plain,
elem(A,cons(A,B)),
inference(paramod,[status(thm)],[c_106,c_3812]) ).
cnf(c_371,plain,
leq(index(pendack,host(sK2)),nbr_proc),
inference(paramod,[status(thm)],[c_190,c_64]) ).
cnf(c_377,plain,
( index(pendack,host(sK2)) != host(A)
| ~ elem(m_Down(sK0),queue(host(A))) ),
inference(paramod,[status(thm)],[c_190,c_160]) ).
cnf(c_3813,negated_conjecture,
( nbr_proc = index(pendack,host(sK2))
| ~ leq(index(pendack,host(sK2)),nbr_proc) ),
inference(resolve,[status(thm)],[c_191,c_150]) ).
cnf(c_3814,negated_conjecture,
( index(pendack,host(sK2)) = nbr_proc
| ~ leq(index(pendack,host(sK2)),nbr_proc) ),
inference(copy,[status(thm)],[c_3813]) ).
cnf(c_384,negated_conjecture,
index(pendack,host(sK2)) = nbr_proc,
inference(resolve,[status(thm)],[c_371,c_3814]) ).
cnf(c_3815,plain,
( nbr_proc != host(A)
| ~ elem(m_Down(sK0),queue(host(A))) ),
inference(paramod,[status(thm)],[c_384,c_377]) ).
cnf(c_387,plain,
( host(A) != nbr_proc
| ~ elem(m_Down(sK0),queue(host(A))) ),
inference(copy,[status(thm)],[c_3815]) ).
cnf(c_437,plain,
( host(sK5) = host(A)
| setIn(host(A),index(down,host(sK4)))
| leq(host(sK4),host(A)) ),
inference(resolve,[status(thm)],[c_198,c_62]) ).
cnf(c_3816,negated_conjecture,
( elem(m_Down(sK5),queue(host(sK4)))
| m_Ldr(sK2) = m_Down(sK5) ),
inference(resolve,[status(thm)],[c_205,c_119]) ).
cnf(c_448,negated_conjecture,
elem(m_Down(sK5),queue(host(sK4))),
inference(resolve,[status(thm)],[c_81,c_3816]) ).
cnf(c_450,plain,
~ leq(host(sK6),host(sK4)),
inference(paramod,[status(thm)],[c_207,c_147]) ).
cnf(c_3817,plain,
( leq(A,host(sK4))
| s(host(sK4)) = A
| ~ leq(A,host(sK6)) ),
inference(paramod,[status(thm)],[c_207,c_156]) ).
cnf(c_453,plain,
( leq(A,host(sK4))
| host(sK6) = A
| ~ leq(A,host(sK6)) ),
inference(paramod,[status(thm)],[c_207,c_3817]) ).
cnf(c_3818,negated_conjecture,
( leq(index(pendack,host(A)),host(sK3))
| index(status,host(sK2)) != index(status,host(A))
| host(B) != host(A)
| ~ elem(m_Down(B),queue(host(sK3)))
| ~ setIn(A,alive) ),
inference(resolve,[status(thm)],[c_226,c_199]) ).
cnf(c_3819,negated_conjecture,
( leq(index(pendack,host(A)),host(sK3))
| index(status,host(sK2)) != index(status,host(A))
| host(B) != host(A)
| ~ elem(m_Down(B),queue(host(sK4)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_194,c_3818]) ).
cnf(c_459,negated_conjecture,
( leq(index(pendack,host(A)),host(sK4))
| index(status,host(sK2)) != index(status,host(A))
| host(B) != host(A)
| ~ elem(m_Down(B),queue(host(sK4)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_194,c_3819]) ).
cnf(c_3820,negated_conjecture,
( leq(index(pendack,host(A)),host(sK3))
| index(status,host(sK2)) != index(status,host(A))
| ~ setIn(host(A),index(down,host(sK3)))
| ~ setIn(A,alive) ),
inference(resolve,[status(thm)],[c_227,c_199]) ).
cnf(c_3821,negated_conjecture,
( leq(index(pendack,host(A)),host(sK3))
| index(status,host(sK2)) != index(status,host(A))
| ~ setIn(host(A),index(down,host(sK4)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_194,c_3820]) ).
cnf(c_462,negated_conjecture,
( leq(index(pendack,host(A)),host(sK4))
| index(status,host(sK2)) != index(status,host(A))
| ~ setIn(host(A),index(down,host(sK4)))
| ~ setIn(A,alive) ),
inference(paramod,[status(thm)],[c_194,c_3821]) ).
cnf(c_3822,negated_conjecture,
( nbr_proc = host(sK6)
| ~ leq(host(sK6),nbr_proc) ),
inference(resolve,[status(thm)],[c_233,c_150]) ).
cnf(c_3823,negated_conjecture,
( host(sK6) = nbr_proc
| ~ leq(host(sK6),nbr_proc) ),
inference(copy,[status(thm)],[c_3822]) ).
cnf(c_470,negated_conjecture,
host(sK6) = nbr_proc,
inference(resolve,[status(thm)],[c_64,c_3823]) ).
cnf(c_3824,plain,
( leq(A,host(sK4))
| host(sK6) = A
| ~ leq(A,nbr_proc) ),
inference(paramod,[status(thm)],[c_470,c_453]) ).
cnf(c_472,plain,
( leq(A,host(sK4))
| nbr_proc = A
| ~ leq(A,nbr_proc) ),
inference(paramod,[status(thm)],[c_470,c_3824]) ).
cnf(c_475,plain,
~ leq(nbr_proc,host(sK4)),
inference(paramod,[status(thm)],[c_470,c_450]) ).
cnf(c_3825,plain,
( host(sK2) != nbr_proc
| ~ elem(m_Down(sK0),cons(m_Down(sK0),sK1)) ),
inference(paramod,[status(thm)],[c_184,c_387]) ).
cnf(c_910,plain,
host(sK2) != nbr_proc,
inference(resolve,[status(thm)],[c_271,c_3825]) ).
cnf(c_3826,plain,
( leq(host(A),host(sK4))
| nbr_proc = host(A) ),
inference(resolve,[status(thm)],[c_472,c_64]) ).
cnf(c_2698,plain,
( leq(host(A),host(sK4))
| host(A) = nbr_proc ),
inference(copy,[status(thm)],[c_3826]) ).
cnf(c_3827,negated_conjecture,
( leq(index(pendack,host(sK2)),host(sK4))
| index(status,host(sK2)) != index(status,host(sK2))
| host(A) != host(sK2)
| ~ elem(m_Down(A),queue(host(sK4))) ),
inference(resolve,[status(thm)],[c_459,c_185]) ).
cnf(c_3828,negated_conjecture,
( leq(nbr_proc,host(sK4))
| index(status,host(sK2)) != index(status,host(sK2))
| host(A) != host(sK2)
| ~ elem(m_Down(A),queue(host(sK4))) ),
inference(paramod,[status(thm)],[c_384,c_3827]) ).
cnf(c_3829,negated_conjecture,
( leq(nbr_proc,host(sK4))
| index(status,host(sK2)) != index(status,host(sK2))
| host(sK2) != host(A)
| ~ elem(m_Down(A),queue(host(sK4))) ),
inference(copy,[status(thm)],[c_3828]) ).
cnf(c_3830,negated_conjecture,
( leq(nbr_proc,host(sK4))
| host(sK2) != host(A)
| ~ elem(m_Down(A),queue(host(sK4))) ),
inference(copy,[status(thm)],[c_3829]) ).
cnf(c_3663,negated_conjecture,
( host(sK2) != host(A)
| ~ elem(m_Down(A),queue(host(sK4))) ),
inference(resolve,[status(thm)],[c_475,c_3830]) ).
cnf(c_3831,plain,
host(sK2) != host(sK5),
inference(resolve,[status(thm)],[c_3663,c_448]) ).
cnf(c_3679,plain,
host(sK5) != host(sK2),
inference(copy,[status(thm)],[c_3831]) ).
cnf(c_3832,negated_conjecture,
( leq(index(pendack,host(sK2)),host(sK4))
| index(status,host(sK2)) != index(status,host(sK2))
| ~ setIn(host(sK2),index(down,host(sK4))) ),
inference(resolve,[status(thm)],[c_462,c_185]) ).
cnf(c_3833,negated_conjecture,
( host(sK5) = host(sK2)
| leq(host(sK4),host(sK2))
| leq(index(pendack,host(sK2)),host(sK4))
| index(status,host(sK2)) != index(status,host(sK2)) ),
inference(resolve,[status(thm)],[c_3832,c_437]) ).
cnf(c_3834,plain,
( host(sK5) = host(sK2)
| leq(host(sK4),host(sK2))
| leq(index(pendack,host(sK2)),host(sK4)) ),
inference(xxres,[status(thm)],[c_3833]) ).
cnf(c_3835,plain,
( host(sK5) = host(sK2)
| leq(host(sK4),host(sK2))
| leq(nbr_proc,host(sK4)) ),
inference(paramod,[status(thm)],[c_384,c_3834]) ).
cnf(c_3836,plain,
( host(sK5) = host(sK2)
| leq(host(sK4),host(sK2)) ),
inference(resolve,[status(thm)],[c_475,c_3835]) ).
cnf(c_3773,plain,
leq(host(sK4),host(sK2)),
inference(resolve,[status(thm)],[c_3679,c_3836]) ).
cnf(c_3837,plain,
( host(A) = nbr_proc
| host(sK4) = host(A)
| ~ leq(host(sK4),host(A)) ),
inference(resolve,[status(thm)],[c_150,c_2698]) ).
cnf(c_3838,plain,
( host(sK2) = nbr_proc
| host(sK4) = host(sK2) ),
inference(resolve,[status(thm)],[c_3837,c_3773]) ).
cnf(c_3839,negated_conjecture,
host(sK2) = nbr_proc,
inference(resolve,[status(thm)],[c_196,c_3838]) ).
cnf(c_3808,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_910,c_3839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV478+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 13:58:58 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1170139 was started by sandbox2 on n026,
% 0.09/0.37 % Sat Sep 26 13:58:58 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.39
% 0.09/0.39 % From the command line: assign(max_seconds, 300).
% 212.98/28.59
% 212.98/28.59 % given #500 (F,wt=18): 3081 host(c3) != host(A) | -elem(m_Down(A),queue(host(c5))) | -setIn(host(c5),index(down,host(c3))). [resolve(417,b,185,a),unit_del(a,196)].
% 212.98/28.59
% 212.98/28.59 % SZS status Theorem for theBenchmark
% 212.98/28.59
% 212.98/28.59 % Proof 1 at 3.11 (+ 0.78) seconds.
% 212.98/28.59 % Length of proof is 65.
% 212.98/28.59 % Level of proof is 9.
% 212.98/28.59 % Maximum clause weight is 33.000.
% 212.98/28.59 % Given clauses 552.
% 212.98/28.59
% 212.98/28.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------