%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Thu Sep 24 02:48:00 PM UTC 2026
% Result : Theorem 74.46s 9.97s
% Output : CNFRefutation 74.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 112 ( 56 unt; 0 def)
% Number of atoms : 858 ( 397 equ)
% Maximal formula atoms : 127 ( 7 avg)
% Number of connectives : 1178 ( 432 ~; 367 |; 320 &)
% ( 3 <=>; 56 =>; 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; 22 con; 0-4 aty)
% Number of variables : 339 ( 317 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [P] : leq(s(zero),host(P)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P] : leq(host(P),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m_Down(X) != m_Ldr(Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,Y,Q] :
( elem(X,snoc(Q,Y))
<=> ( elem(X,Q)
| X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X] : ~ leq(s(X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [X,Y] :
( leq(X,s(Y))
<=> ( leq(X,Y)
| X = s(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,conjecture,
! [V,W,X,Y] :
( ( queue(host(X)) = cons(m_Ack(W,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)
=> ( ( host(Y) = index(pendack,host(X))
& index(status,host(X)) = elec_2
& index(elid,host(X)) = W )
=> ( leq(nbr_proc,index(pendack,host(X)))
=> ! [Z] :
( ( host(Z) = host(Y)
| 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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ ! [V,W,X,Y] :
( ( queue(host(X)) = cons(m_Ack(W,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)
=> ( ( host(Y) = index(pendack,host(X))
& index(status,host(X)) = elec_2
& index(elid,host(X)) = W )
=> ( leq(nbr_proc,index(pendack,host(X)))
=> ! [Z] :
( ( host(Z) = host(Y)
| 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(negated_conjecture,[status(cth)],[f67]) ).
fof(f74,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f143,plain,
! [X,Y,Q] :
( ( ( ~ elem(X,Q)
& X != Y )
| elem(X,snoc(Q,Y)) )
& ( elem(X,Q)
| X = Y
| ~ elem(X,snoc(Q,Y)) ) ),
inference(NNF_transformation,[status(thm)],[f48]) ).
fof(f144,plain,
( ! [X,Y,Q] :
( ( ~ elem(X,Q)
& X != Y )
| elem(X,snoc(Q,Y)) )
& ! [X,Y,Q] :
( elem(X,Q)
| X = Y
| ~ elem(X,snoc(Q,Y)) ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( elem(X0,X1)
| X0 = X2
| ~ elem(X0,snoc(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f191,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f194,plain,
! [X,Y] :
( ( X != Y
| ( leq(Y,X)
& leq(X,Y) ) )
& ( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f62]) ).
fof(f195,plain,
( ! [X,Y] :
( X != Y
| ( leq(Y,X)
& leq(X,Y) ) )
& ! [X,Y] :
( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f194]) ).
fof(f196,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f206,plain,
! [X,Y] :
( ( ( ~ leq(X,Y)
& X != s(Y) )
| leq(X,s(Y)) )
& ( leq(X,Y)
| X = s(Y)
| ~ leq(X,s(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f207,plain,
( ! [X,Y] :
( ( ~ leq(X,Y)
& X != s(Y) )
| leq(X,s(Y)) )
& ! [X,Y] :
( leq(X,Y)
| X = s(Y)
| ~ leq(X,s(Y)) ) ),
inference(miniscoping,[status(thm)],[f206]) ).
fof(f208,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 = s(X1)
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f212,plain,
? [V,W,X,Y] :
( ? [Z] :
( ? [V0] :
( ? [W0,X0,Y0] :
( host(X) = host(V0)
& setIn(V0,alive)
& 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] :
( V1 = host(X0)
| setIn(V1,index(down,host(Y0)))
| ~ leq(s(zero),V1)
| leq(host(Y0),V1) )
& host(X) != host(Y0)
& host(Z) = host(Y0) )
& host(X) = host(V0) )
& ( host(Z) = host(Y)
| setIn(host(Z),index(acks,host(X))) ) )
& leq(nbr_proc,index(pendack,host(X)))
& host(Y) = index(pendack,host(X))
& index(status,host(X)) = elec_2
& index(elid,host(X)) = W
& setIn(X,alive)
& queue(host(X)) = cons(m_Ack(W,Y),V)
& ! [Z,Pid30,Pid20,Pid0] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| 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] :
( V0 != host(Pid20)
& ~ setIn(V0,index(down,host(Pid0)))
& leq(s(zero),V0)
& ~ leq(host(Pid0),V0) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Ack(Z,Pid30),queue(host(Z)))
| 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] :
( V0 != host(Pid20)
& ~ setIn(V0,index(down,host(Pid0)))
& leq(s(zero),V0)
& ~ leq(host(Pid0),V0) ) )
& ! [Z,Pid20,Pid0] :
( index(ldr,host(Pid20)) != host(Pid20)
| index(status,host(Pid20)) != norm
| ~ setIn(Pid20,alive)
| 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) )
& ! [Z,Pid20,Pid0] :
( index(ldr,host(Pid20)) != host(Pid20)
| index(status,host(Pid20)) != norm
| ~ setIn(Pid20,alive)
| 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) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ setIn(host(Pid30),index(down,host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid20,Pid0] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| host(Pid20) != host(Z)
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| leq(host(Pid20),host(Pid0)) )
& ! [Z,Pid0] :
( Pid0 = Z
| 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) )
& ! [Z,Pid20,Pid0] :
( ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Z,alive)
| index(ldr,host(Pid0)) != host(Pid0)
| index(status,host(Pid0)) != norm
| host(Pid20) != host(Pid0)
| ~ setIn(Pid0,alive) )
& ! [Z,Pid20,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| host(Pid0) != host(Pid20)
| ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z,Pid0] :
( ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Z,alive)
| index(ldr,host(Pid0)) != host(Pid0)
| index(status,host(Pid0)) != norm
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( host(Pid0) != host(Z)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Ldr(Pid0),queue(host(Z))) ) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f213,plain,
? [W,X,Y] :
( ? [Z] :
( ? [V0] :
( ? [Y0] :
( host(X) = host(V0)
& setIn(V0,alive)
& index(status,host(Y0)) = elec_1
& ? [W0] :
( host(W0) = s(host(Y0))
& ? [X0] :
( 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] :
( V1 = host(X0)
| setIn(V1,index(down,host(Y0)))
| ~ leq(s(zero),V1)
| leq(host(Y0),V1) ) ) )
& host(X) != host(Y0)
& host(Z) = host(Y0) )
& host(X) = host(V0) )
& ( host(Z) = host(Y)
| setIn(host(Z),index(acks,host(X))) ) )
& leq(nbr_proc,index(pendack,host(X)))
& host(Y) = index(pendack,host(X))
& index(status,host(X)) = elec_2
& index(elid,host(X)) = W
& setIn(X,alive)
& ? [V] : queue(host(X)) = cons(m_Ack(W,Y),V)
& ( ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive) )
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| ! [Pid30] :
( host(Pid30) != s(host(Pid0))
| ~ elem(m_Down(Pid30),queue(host(Pid0)))
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ leq(nbr_proc,s(host(Pid0)))
| ~ setIn(Pid0,alive)
| ? [V0] :
( V0 != host(Pid20)
& ~ setIn(V0,index(down,host(Pid0)))
& leq(s(zero),V0)
& ~ leq(host(Pid0),V0) ) ) ) ) )
& ! [Z,Pid30] :
( ~ elem(m_Ack(Z,Pid30),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| index(status,host(Z)) != elec_2
| host(Pid30) != host(Pid0)
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ leq(host(Z),host(Pid0))
| ~ setIn(Z,alive)
| ? [V0] :
( V0 != host(Pid20)
& ~ setIn(V0,index(down,host(Pid0)))
& leq(s(zero),V0)
& ~ leq(host(Pid0),V0) ) ) ) )
& ! [Pid20] :
( index(ldr,host(Pid20)) != host(Pid20)
| index(status,host(Pid20)) != norm
| ~ setIn(Pid20,alive)
| ! [Pid0] :
( host(index(elid,host(Pid0))) != host(Pid20)
| index(status,host(Pid0)) != wait
| ! [Z] :
( host(Pid20) != host(Z)
| ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| host(Pid0) = host(Pid20) ) ) )
& ! [Pid20] :
( index(ldr,host(Pid20)) != host(Pid20)
| index(status,host(Pid20)) != norm
| ~ setIn(Pid20,alive)
| ! [Pid0] :
( index(ldr,host(Pid0)) != host(Pid20)
| index(status,host(Pid0)) != norm
| ! [Z] :
( host(Pid20) != host(Z)
| ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| host(Pid0) = host(Pid20) ) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ setIn(host(Pid30),index(down,host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| ! [Pid20] :
( host(Pid20) != host(Z)
| ! [Pid0] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| leq(host(Pid20),host(Pid0)) ) ) )
& ! [Z,Pid0] :
( Pid0 = Z
| 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) )
& ! [Pid20] :
( ! [Z] :
( ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Z,alive) )
| ! [Pid0] :
( index(ldr,host(Pid0)) != host(Pid0)
| index(status,host(Pid0)) != norm
| host(Pid20) != host(Pid0)
| ~ setIn(Pid0,alive) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ! [Pid20] :
( host(Pid0) != host(Pid20)
| ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Pid0] :
( ! [Z] :
( ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Z,alive) )
| index(ldr,host(Pid0)) != host(Pid0)
| index(status,host(Pid0)) != norm
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( host(Pid0) != host(Z)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Ldr(Pid0),queue(host(Z))) ) ),
inference(miniscoping,[status(thm)],[f212]) ).
fof(f214,plain,
( host(sK5_skl) = host(sK11_skl)
& setIn(sK11_skl,alive)
& index(status,host(sK12_skl)) = elec_1
& host(sK13_skl) = s(host(sK12_skl))
& elem(m_Down(sK14_skl),snoc(queue(host(sK12_skl)),m_Ldr(sK5_skl)))
& elem(m_Down(sK13_skl),snoc(queue(host(sK12_skl)),m_Ldr(sK5_skl)))
& leq(nbr_proc,s(host(sK12_skl)))
& setIn(sK12_skl,alive)
& ! [V1] :
( V1 = host(sK14_skl)
| setIn(V1,index(down,host(sK12_skl)))
| ~ leq(s(zero),V1)
| leq(host(sK12_skl),V1) )
& host(sK5_skl) != host(sK12_skl)
& host(sK10_skl) = host(sK12_skl)
& host(sK5_skl) = host(sK11_skl)
& ( host(sK10_skl) = host(sK6_skl)
| setIn(host(sK10_skl),index(acks,host(sK5_skl))) )
& leq(nbr_proc,index(pendack,host(sK5_skl)))
& host(sK6_skl) = index(pendack,host(sK5_skl))
& index(status,host(sK5_skl)) = elec_2
& index(elid,host(sK5_skl)) = sK4_skl
& setIn(sK5_skl,alive)
& queue(host(sK5_skl)) = cons(m_Ack(sK4_skl,sK6_skl),sK9_skl)
& ( ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive) )
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| ! [Pid30] :
( host(Pid30) != s(host(Pid0))
| ~ elem(m_Down(Pid30),queue(host(Pid0)))
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ leq(nbr_proc,s(host(Pid0)))
| ~ setIn(Pid0,alive)
| ( sK8_skl(Pid20,Pid30,Pid0) != host(Pid20)
& ~ setIn(sK8_skl(Pid20,Pid30,Pid0),index(down,host(Pid0)))
& leq(s(zero),sK8_skl(Pid20,Pid30,Pid0))
& ~ leq(host(Pid0),sK8_skl(Pid20,Pid30,Pid0)) ) ) ) ) )
& ! [Z,Pid30] :
( ~ elem(m_Ack(Z,Pid30),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| index(status,host(Z)) != elec_2
| host(Pid30) != host(Pid0)
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ leq(host(Z),host(Pid0))
| ~ setIn(Z,alive)
| ( sK7_skl(Pid20,Pid0,Pid30,Z) != host(Pid20)
& ~ setIn(sK7_skl(Pid20,Pid0,Pid30,Z),index(down,host(Pid0)))
& leq(s(zero),sK7_skl(Pid20,Pid0,Pid30,Z))
& ~ leq(host(Pid0),sK7_skl(Pid20,Pid0,Pid30,Z)) ) ) ) )
& ! [Pid20] :
( index(ldr,host(Pid20)) != host(Pid20)
| index(status,host(Pid20)) != norm
| ~ setIn(Pid20,alive)
| ! [Pid0] :
( host(index(elid,host(Pid0))) != host(Pid20)
| index(status,host(Pid0)) != wait
| ! [Z] :
( host(Pid20) != host(Z)
| ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| host(Pid0) = host(Pid20) ) ) )
& ! [Pid20] :
( index(ldr,host(Pid20)) != host(Pid20)
| index(status,host(Pid20)) != norm
| ~ setIn(Pid20,alive)
| ! [Pid0] :
( index(ldr,host(Pid0)) != host(Pid20)
| index(status,host(Pid0)) != norm
| ! [Z] :
( host(Pid20) != host(Z)
| ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| host(Pid0) = host(Pid20) ) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ setIn(host(Pid30),index(down,host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| ! [Pid20] :
( host(Pid20) != host(Z)
| ! [Pid0] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| leq(host(Pid20),host(Pid0)) ) ) )
& ! [Z,Pid0] :
( Pid0 = Z
| 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) )
& ! [Pid20] :
( ! [Z] :
( ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Z,alive) )
| ! [Pid0] :
( index(ldr,host(Pid0)) != host(Pid0)
| index(status,host(Pid0)) != norm
| host(Pid20) != host(Pid0)
| ~ setIn(Pid0,alive) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ! [Pid20] :
( host(Pid0) != host(Pid20)
| ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Pid0] :
( ! [Z] :
( ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Z,alive) )
| index(ldr,host(Pid0)) != host(Pid0)
| index(status,host(Pid0)) != norm
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( host(Pid0) != host(Z)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Ldr(Pid0),queue(host(Z))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(W,sK4_skl),skolemize(X,sK5_skl),skolemize(Y,sK6_skl),skolemize(V0,sK7_skl(Pid20,Pid0,Pid30,Z)),skolemize(V0,sK8_skl(Pid20,Pid30,Pid0)),skolemize(V,sK9_skl),skolemize(Z,sK10_skl),skolemize(V0,sK11_skl),skolemize(Y0,sK12_skl),skolemize(W0,sK13_skl),skolemize(X0,sK14_skl)],[f213]) ).
fof(f219,plain,
! [X0] :
( index(elid,host(X0)) = X0
| ~ setIn(X0,alive)
| index(status,host(X0)) != elec_2 ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f220,plain,
! [X0,X1] :
( leq(index(pendack,host(X1)),host(X0))
| index(status,host(X1)) != elec_2
| ~ setIn(host(X1),index(down,host(X0)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f222,plain,
! [X0,X1,X2] :
( leq(index(pendack,host(X1)),host(X0))
| index(status,host(X1)) != elec_2
| host(X1) != host(X2)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f239,plain,
setIn(sK5_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f240,plain,
index(elid,host(sK5_skl)) = sK4_skl,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f241,plain,
index(status,host(sK5_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
host(sK6_skl) = index(pendack,host(sK5_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
leq(nbr_proc,index(pendack,host(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f245,plain,
host(sK5_skl) = host(sK11_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f246,plain,
host(sK10_skl) = host(sK12_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f247,plain,
host(sK5_skl) != host(sK12_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f248,plain,
! [X0] :
( X0 = host(sK14_skl)
| setIn(X0,index(down,host(sK12_skl)))
| ~ leq(s(zero),X0)
| leq(host(sK12_skl),X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f249,plain,
setIn(sK12_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f250,plain,
leq(nbr_proc,s(host(sK12_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f251,plain,
elem(m_Down(sK13_skl),snoc(queue(host(sK12_skl)),m_Ldr(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f252,plain,
elem(m_Down(sK14_skl),snoc(queue(host(sK12_skl)),m_Ldr(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f253,plain,
host(sK13_skl) = s(host(sK12_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f255,plain,
setIn(sK11_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f287,plain,
host(sK11_skl) != host(sK12_skl),
inference(forward_demodulation,[status(thm)],[f245,f247]) ).
fof(f288,plain,
host(sK11_skl) != host(sK10_skl),
inference(forward_demodulation,[status(thm)],[f246,f287]) ).
fof(f301,plain,
index(elid,host(sK11_skl)) = sK4_skl,
inference(forward_demodulation,[status(thm)],[f245,f240]) ).
fof(f318,plain,
index(status,host(sK11_skl)) = elec_2,
inference(forward_demodulation,[status(thm)],[f245,f241]) ).
fof(f319,plain,
leq(nbr_proc,s(host(sK10_skl))),
inference(forward_demodulation,[status(thm)],[f246,f250]) ).
fof(f320,plain,
( index(elid,host(sK11_skl)) = sK11_skl
| index(status,host(sK11_skl)) != elec_2 ),
inference(resolution,[status(thm)],[f219,f255]) ).
fof(f322,plain,
( index(elid,host(sK5_skl)) = sK5_skl
| index(status,host(sK5_skl)) != elec_2 ),
inference(resolution,[status(thm)],[f219,f239]) ).
fof(f323,plain,
( index(elid,host(sK11_skl)) = sK11_skl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f318,f320]) ).
fof(f324,plain,
( sK4_skl = sK11_skl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f301,f323]) ).
fof(f325,plain,
sK4_skl = sK11_skl,
inference(trivial_equality_resolution,[status(thm)],[f324]) ).
fof(f328,plain,
( index(elid,host(sK5_skl)) = sK5_skl
| index(status,host(sK11_skl)) != elec_2 ),
inference(forward_demodulation,[status(thm)],[f245,f322]) ).
fof(f329,plain,
( index(elid,host(sK5_skl)) = sK5_skl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f318,f328]) ).
fof(f330,plain,
( index(elid,host(sK11_skl)) = sK5_skl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f245,f329]) ).
fof(f331,plain,
( sK4_skl = sK5_skl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f301,f330]) ).
fof(f332,plain,
sK4_skl = sK5_skl,
inference(trivial_equality_resolution,[status(thm)],[f331]) ).
fof(f333,plain,
index(status,host(sK4_skl)) = elec_2,
inference(backward_demodulation,[status(thm)],[f325,f318]) ).
fof(f335,plain,
host(sK4_skl) != host(sK10_skl),
inference(backward_demodulation,[status(thm)],[f325,f288]) ).
fof(f337,plain,
setIn(sK4_skl,alive),
inference(backward_demodulation,[status(thm)],[f325,f255]) ).
fof(f379,plain,
leq(nbr_proc,host(sK13_skl)),
inference(backward_demodulation,[status(thm)],[f380,f319]) ).
fof(f380,plain,
host(sK13_skl) = s(host(sK10_skl)),
inference(forward_demodulation,[status(thm)],[f246,f253]) ).
fof(f397,plain,
! [X0] :
( leq(index(pendack,host(sK4_skl)),host(X0))
| index(status,host(sK4_skl)) != elec_2
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(resolution,[status(thm)],[f220,f337]) ).
fof(f406,plain,
( host(sK13_skl) = nbr_proc
| ~ leq(host(sK13_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f196,f379]) ).
fof(f413,plain,
host(sK13_skl) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[f406,f76]) ).
fof(f416,plain,
nbr_proc = s(host(sK10_skl)),
inference(backward_demodulation,[status(thm)],[f413,f380]) ).
fof(f471,plain,
~ leq(nbr_proc,host(sK10_skl)),
inference(paramodulation,[status(thm)],[f416,f191]) ).
fof(f666,plain,
! [X0,X1] :
( leq(index(pendack,host(sK4_skl)),host(X0))
| index(status,host(sK4_skl)) != elec_2
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(resolution,[status(thm)],[f222,f337]) ).
fof(f670,plain,
! [X0,X1] :
( leq(index(pendack,host(sK4_skl)),host(X0))
| elec_2 != elec_2
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[status(thm)],[f333,f666]) ).
fof(f671,plain,
! [X0,X1] :
( leq(index(pendack,host(sK4_skl)),host(X0))
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(trivial_equality_resolution,[status(thm)],[f670]) ).
fof(f902,plain,
host(sK6_skl) = index(pendack,host(sK4_skl)),
inference(forward_demodulation,[status(thm)],[f332,f242]) ).
fof(f913,plain,
leq(nbr_proc,index(pendack,host(sK4_skl))),
inference(forward_demodulation,[status(thm)],[f332,f243]) ).
fof(f914,plain,
leq(nbr_proc,host(sK6_skl)),
inference(forward_demodulation,[status(thm)],[f902,f913]) ).
fof(f916,plain,
( host(sK6_skl) = nbr_proc
| ~ leq(host(sK6_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f914,f196]) ).
fof(f919,plain,
host(sK6_skl) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[f916,f76]) ).
fof(f928,plain,
nbr_proc = index(pendack,host(sK4_skl)),
inference(backward_demodulation,[status(thm)],[f919,f902]) ).
fof(f1324,plain,
! [X0] :
( X0 = host(sK14_skl)
| setIn(X0,index(down,host(sK12_skl)))
| ~ leq(s(zero),X0)
| leq(host(sK10_skl),X0) ),
inference(forward_demodulation,[status(thm)],[f246,f248]) ).
fof(f1325,plain,
! [X0] :
( X0 = host(sK14_skl)
| setIn(X0,index(down,host(sK10_skl)))
| ~ leq(s(zero),X0)
| leq(host(sK10_skl),X0) ),
inference(forward_demodulation,[status(thm)],[f246,f1324]) ).
fof(f1330,plain,
elem(m_Down(sK13_skl),snoc(queue(host(sK10_skl)),m_Ldr(sK5_skl))),
inference(forward_demodulation,[status(thm)],[f246,f251]) ).
fof(f1331,plain,
elem(m_Down(sK13_skl),snoc(queue(host(sK10_skl)),m_Ldr(sK4_skl))),
inference(forward_demodulation,[status(thm)],[f332,f1330]) ).
fof(f1332,plain,
( elem(m_Down(sK13_skl),queue(host(sK10_skl)))
| m_Down(sK13_skl) = m_Ldr(sK4_skl) ),
inference(resolution,[status(thm)],[f1331,f145]) ).
fof(f1344,plain,
elem(m_Down(sK13_skl),queue(host(sK10_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f1332,f90]) ).
fof(f1367,plain,
elem(m_Down(sK14_skl),snoc(queue(host(sK10_skl)),m_Ldr(sK5_skl))),
inference(forward_demodulation,[status(thm)],[f246,f252]) ).
fof(f1368,plain,
elem(m_Down(sK14_skl),snoc(queue(host(sK10_skl)),m_Ldr(sK4_skl))),
inference(forward_demodulation,[status(thm)],[f332,f1367]) ).
fof(f1369,plain,
( elem(m_Down(sK14_skl),queue(host(sK10_skl)))
| m_Down(sK14_skl) = m_Ldr(sK4_skl) ),
inference(resolution,[status(thm)],[f1368,f145]) ).
fof(f1381,plain,
elem(m_Down(sK14_skl),queue(host(sK10_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f1369,f90]) ).
fof(f2511,plain,
! [X0] :
( leq(index(pendack,host(sK4_skl)),host(X0))
| elec_2 != elec_2
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[status(thm)],[f333,f397]) ).
fof(f2512,plain,
! [X0] :
( leq(nbr_proc,host(X0))
| elec_2 != elec_2
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[status(thm)],[f928,f2511]) ).
fof(f2513,plain,
! [X0] :
( leq(nbr_proc,host(X0))
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(trivial_equality_resolution,[status(thm)],[f2512]) ).
fof(f2515,plain,
( leq(nbr_proc,host(sK12_skl))
| ~ setIn(host(sK4_skl),index(down,host(sK12_skl))) ),
inference(resolution,[status(thm)],[f2513,f249]) ).
fof(f2518,plain,
( leq(nbr_proc,host(sK12_skl))
| ~ setIn(host(sK4_skl),index(down,host(sK10_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f2515]) ).
fof(f2519,plain,
( leq(nbr_proc,host(sK10_skl))
| ~ setIn(host(sK4_skl),index(down,host(sK10_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f2518]) ).
fof(f2520,plain,
~ setIn(host(sK4_skl),index(down,host(sK10_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f2519,f471]) ).
fof(f3761,plain,
( host(sK4_skl) = host(sK14_skl)
| ~ leq(s(zero),host(sK4_skl))
| leq(host(sK10_skl),host(sK4_skl)) ),
inference(resolution,[status(thm)],[f2520,f1325]) ).
fof(f3768,plain,
( host(sK4_skl) = host(sK14_skl)
| leq(host(sK10_skl),host(sK4_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3761,f74]) ).
fof(f3769,plain,
! [X0,X1] :
( leq(nbr_proc,host(X0))
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[status(thm)],[f928,f671]) ).
fof(f3771,plain,
! [X0] :
( leq(nbr_proc,host(sK12_skl))
| host(sK4_skl) != host(X0)
| ~ elem(m_Down(X0),queue(host(sK12_skl))) ),
inference(resolution,[status(thm)],[f3769,f249]) ).
fof(f3774,plain,
! [X0] :
( leq(nbr_proc,host(sK12_skl))
| host(sK4_skl) != host(X0)
| ~ elem(m_Down(X0),queue(host(sK10_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f3771]) ).
fof(f3775,plain,
! [X0] :
( leq(nbr_proc,host(sK10_skl))
| host(sK4_skl) != host(X0)
| ~ elem(m_Down(X0),queue(host(sK10_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f3774]) ).
fof(f3776,plain,
! [X0] :
( host(sK4_skl) != host(X0)
| ~ elem(m_Down(X0),queue(host(sK10_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f3775,f471]) ).
fof(f19076,plain,
host(sK4_skl) != host(sK14_skl),
inference(resolution,[status(thm)],[f3776,f1381]) ).
fof(f19077,plain,
host(sK4_skl) != host(sK13_skl),
inference(resolution,[status(thm)],[f3776,f1344]) ).
fof(f19092,plain,
host(sK4_skl) != nbr_proc,
inference(forward_demodulation,[status(thm)],[f413,f19077]) ).
fof(f19179,plain,
leq(host(sK10_skl),host(sK4_skl)),
inference(backward_subsumption_resolution,[status(thm)],[f3768,f19076]) ).
fof(f19196,plain,
( host(sK4_skl) = host(sK10_skl)
| ~ leq(host(sK4_skl),host(sK10_skl)) ),
inference(resolution,[status(thm)],[f19179,f196]) ).
fof(f19207,plain,
~ leq(host(sK4_skl),host(sK10_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f19196,f335]) ).
fof(f19232,plain,
( host(sK4_skl) = s(host(sK10_skl))
| ~ leq(host(sK4_skl),s(host(sK10_skl))) ),
inference(resolution,[status(thm)],[f19207,f208]) ).
fof(f19240,plain,
( host(sK4_skl) = s(host(sK10_skl))
| ~ leq(host(sK4_skl),nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f416,f19232]) ).
fof(f19241,plain,
( host(sK4_skl) = nbr_proc
| ~ leq(host(sK4_skl),nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f416,f19240]) ).
fof(f19242,plain,
host(sK4_skl) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[f19241,f76]) ).
fof(f19244,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f19242,f19092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n004.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 08:53:04 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 74.46/9.97 % Refutation found
% 74.46/9.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 74.46/9.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.73/10.01 % Elapsed time: 9.562601 seconds
% 2.73/10.01 % CPU time: 75.145987 seconds
% 2.73/10.01 % Total memory used: 332.068 MB
% 2.73/10.01 % Net memory used: 286.478 MB
%------------------------------------------------------------------------------