%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV464+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 : n007.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 02:47:59 PM UTC 2026
% Result : Theorem 11.87s 6.99s
% Output : CNFRefutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of formulae : 142 ( 42 unt; 19 def)
% Number of atoms : 780 ( 297 equ)
% Maximal formula atoms : 91 ( 5 avg)
% Number of connectives : 1044 ( 406 ~; 321 |; 249 &)
% ( 22 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 20 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 19 con; 0-3 aty)
% Number of variables : 294 ( 276 !; 18 ?)
% 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(f12,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_Halt(Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] : m_Down(X) != m_Halt(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] :
( ( host(Pid20) = s(index(pendack,host(Pid0)))
& host(Pid30) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Pid0))))
& elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
& elem(m_Down(Pid20),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid0) = host(Pid30)
& host(Pid0) = nbr_proc
& 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(Pid30),queue(host(Z)))
& setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& elem(m_Halt(Pid0),queue(host(Pid20)))
& setIn(Pid0,alive)
& ~ leq(index(pendack,host(Pid0)),host(Z)) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& host(Pid0) = host(Pid20)
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid20,Pid0] :
( ( host(Pid20) = host(Z)
& elem(m_Down(Pid20),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z] :
( ( setIn(Z,alive)
& ( index(status,host(Z)) = elec_2
| index(status,host(Z)) = elec_1 ) )
=> index(elid,host(Z)) = Z )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& setIn(Pid0,alive) )
=> ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
& ! [Z,Pid0] :
( ( elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> leq(host(Z),index(pendack,host(Pid0))) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( elem(m_Halt(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [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,W0,X0,Y0] :
( s(index(pendack,host(X))) = host(Y0)
=> ( host(X) != host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(W0) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,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] :
( ( host(Pid20) = s(index(pendack,host(Pid0)))
& host(Pid30) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Pid0))))
& elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
& elem(m_Down(Pid20),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid30,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid0) = host(Pid30)
& host(Pid0) = nbr_proc
& 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(Pid30),queue(host(Z)))
& setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& elem(m_Halt(Pid0),queue(host(Pid20)))
& setIn(Pid0,alive)
& ~ leq(index(pendack,host(Pid0)),host(Z)) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& host(Pid0) = host(Pid20)
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid20,Pid0] :
( ( host(Pid20) = host(Z)
& elem(m_Down(Pid20),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) ) )
& ! [Z] :
( ( setIn(Z,alive)
& ( index(status,host(Z)) = elec_2
| index(status,host(Z)) = elec_1 ) )
=> index(elid,host(Z)) = Z )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& setIn(Pid0,alive) )
=> ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
& ! [Z,Pid0] :
( ( elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> leq(host(Z),index(pendack,host(Pid0))) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( elem(m_Halt(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [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,W0,X0,Y0] :
( s(index(pendack,host(X))) = host(Y0)
=> ( host(X) != host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(W0) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) )
=> ~ ( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,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(f83,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[status(thm)],[f18]) ).
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(f209,plain,
! [X0,X1] :
( X0 != s(X1)
| leq(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f212,plain,
? [V,W,X,Y] :
( ? [Z,W0,X0,Y0] :
( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive)
& host(X0) = s(index(pendack,host(Y0)))
& host(W0) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive)
& host(X) != host(Y0)
& s(index(pendack,host(X))) = host(Y0) )
& ~ 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)
| host(Pid20) != s(index(pendack,host(Pid0)))
| host(Pid30) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Z)))
| ~ setIn(Z,alive)
| index(status,host(Pid0)) != elec_1
| host(Pid0) != host(Pid30)
| host(Pid0) != nbr_proc
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ? [V0] :
( V0 != host(Pid20)
& ~ setIn(V0,index(down,host(Pid0)))
& leq(s(zero),V0)
& ~ leq(host(Pid0),V0) ) )
& ! [Z,Pid20,Pid0] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| index(status,host(Pid0)) != elec_2
| ~ elem(m_Halt(Pid0),queue(host(Pid20)))
| ~ setIn(Pid0,alive)
| leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid0] :
( ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20,Pid0] :
( ~ elem(m_Ack(Z,Pid20),queue(host(Z)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [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) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Z,Pid0] :
( ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| index(status,host(Pid0)) != elec_1
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( leq(host(Z),index(pendack,host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid20,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(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] :
( ? [Y0] :
( ? [Z] :
( index(status,host(Z)) = norm
& index(ldr,host(Z)) = host(Z)
& setIn(Z,alive) )
& ? [X0] :
( host(X0) = s(index(pendack,host(Y0)))
& ? [W0] :
( host(W0) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) ) )
& host(X) != host(Y0)
& s(index(pendack,host(X))) = host(Y0) )
& ~ 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) )
| ! [Pid20,Pid0] :
( host(Pid20) != s(index(pendack,host(Pid0)))
| ! [Pid30] :
( host(Pid30) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) ) )
& ! [Pid30] :
( ! [Z] :
( ~ elem(m_Down(Pid30),queue(host(Z)))
| ~ setIn(Z,alive) )
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| host(Pid0) != host(Pid30)
| host(Pid0) != nbr_proc
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ? [V0] :
( V0 != host(Pid20)
& ~ setIn(V0,index(down,host(Pid0)))
& leq(s(zero),V0)
& ~ leq(host(Pid0),V0) ) ) ) )
& ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| ! [Pid20] : ~ elem(m_Halt(Pid0),queue(host(Pid20)))
| ~ setIn(Pid0,alive)
| leq(index(pendack,host(Pid0)),host(Z)) ) )
& ! [Z,Pid0] :
( ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20] :
( ~ elem(m_Ack(Z,Pid20),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [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) ) ) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Pid0] :
( ! [Z] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| index(status,host(Pid0)) != elec_1
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( leq(host(Z),index(pendack,host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ! [Pid20] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(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,
( index(status,host(sK12_skl)) = norm
& index(ldr,host(sK12_skl)) = host(sK12_skl)
& setIn(sK12_skl,alive)
& host(sK10_skl) = s(index(pendack,host(sK9_skl)))
& host(sK11_skl) = index(pendack,host(sK9_skl))
& index(status,host(sK9_skl)) = elec_2
& elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK9_skl)),m_Halt(sK5_skl)))
& elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Halt(sK5_skl)))
& leq(nbr_proc,s(index(pendack,host(sK9_skl))))
& setIn(sK9_skl,alive)
& host(sK5_skl) != host(sK9_skl)
& s(index(pendack,host(sK5_skl))) = host(sK9_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),sK8_skl)
& ( ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive) )
| ! [Pid20,Pid0] :
( host(Pid20) != s(index(pendack,host(Pid0)))
| ! [Pid30] :
( host(Pid30) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) ) )
& ! [Pid30] :
( ! [Z] :
( ~ elem(m_Down(Pid30),queue(host(Z)))
| ~ setIn(Z,alive) )
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| host(Pid0) != host(Pid30)
| host(Pid0) != nbr_proc
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ( sK7_skl(Pid20,Pid0,Pid30) != host(Pid20)
& ~ setIn(sK7_skl(Pid20,Pid0,Pid30),index(down,host(Pid0)))
& leq(s(zero),sK7_skl(Pid20,Pid0,Pid30))
& ~ leq(host(Pid0),sK7_skl(Pid20,Pid0,Pid30)) ) ) ) )
& ! [Z] :
( index(status,host(Z)) != norm
| index(ldr,host(Z)) != host(Z)
| ~ setIn(Z,alive)
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| ! [Pid20] : ~ elem(m_Halt(Pid0),queue(host(Pid20)))
| ~ setIn(Pid0,alive)
| leq(index(pendack,host(Pid0)),host(Z)) ) )
& ! [Z,Pid0] :
( ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20] :
( ~ elem(m_Ack(Z,Pid20),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [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) ) ) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Pid0] :
( ! [Z] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| index(status,host(Pid0)) != elec_1
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( leq(host(Z),index(pendack,host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ! [Pid20] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(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]),skolemize(W,sK4_skl),skolemize(X,sK5_skl),skolemize(Y,sK6_skl),skolemize(V0,sK7_skl(Pid20,Pid0,Pid30)),skolemize(V,sK8_skl),skolemize(Y0,sK9_skl),skolemize(X0,sK10_skl),skolemize(W0,sK11_skl),skolemize(Z,sK12_skl)],[f213]) ).
fof(f223,plain,
! [X0] :
( index(elid,host(X0)) = X0
| ~ setIn(X0,alive)
| index(status,host(X0)) != elec_2 ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( index(status,host(X3)) != norm
| index(ldr,host(X3)) != host(X3)
| ~ setIn(X3,alive)
| host(X1) != s(index(pendack,host(X0)))
| host(X2) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f235,plain,
setIn(sK5_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f236,plain,
index(elid,host(sK5_skl)) = sK4_skl,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f237,plain,
index(status,host(sK5_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f238,plain,
host(sK6_skl) = index(pendack,host(sK5_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f240,plain,
s(index(pendack,host(sK5_skl))) = host(sK9_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
setIn(sK9_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
leq(nbr_proc,s(index(pendack,host(sK9_skl)))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f244,plain,
elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Halt(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f245,plain,
elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK9_skl)),m_Halt(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f246,plain,
index(status,host(sK9_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f247,plain,
host(sK11_skl) = index(pendack,host(sK9_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f248,plain,
host(sK10_skl) = s(index(pendack,host(sK9_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f249,plain,
setIn(sK12_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f250,plain,
index(ldr,host(sK12_skl)) = host(sK12_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f251,plain,
index(status,host(sK12_skl)) = norm,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f252,definition,
! [X0,X1,X2] :
( sQ0_spl
<=> ( host(X1) != s(index(pendack,host(X0)))
| host(X2) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f253,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| host(X1) != s(index(pendack,host(X0)))
| host(X2) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
! [X3] :
( sQ1_spl
<=> ( index(status,host(X3)) != norm
| index(ldr,host(X3)) != host(X3)
| ~ setIn(X3,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0] :
( ~ sQ1_spl
| index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f233,f252,f255]) ).
fof(f363,definition,
( sQ3_spl
<=> setIn(sK5_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( sQ3_spl
| ~ setIn(sK5_skl,alive) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ4_spl
<=> sK4_skl = sK5_skl ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ4_spl
| sK4_skl = sK5_skl ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f581,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f365]) ).
fof(f582,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f666,definition,
( sQ25_spl
<=> index(status,host(sK5_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( sQ25_spl
| index(status,host(sK5_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f704,plain,
s(host(sK6_skl)) = host(sK9_skl),
inference(forward_demodulation,[status(thm)],[f238,f240]) ).
fof(f715,plain,
~ leq(host(sK9_skl),host(sK6_skl)),
inference(paramodulation,[status(thm)],[f704,f191]) ).
fof(f737,definition,
( sQ36_spl
<=> elem(m_Down(sK10_skl),queue(host(sK9_skl))) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ36_spl
| elem(m_Down(sK10_skl),queue(host(sK9_skl))) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f747,definition,
( sQ38_spl
<=> elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK9_skl))) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ38_spl
| elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK9_skl))) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f775,definition,
( sQ40_spl
<=> setIn(sK9_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( sQ40_spl
| ~ setIn(sK9_skl,alive) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f781,definition,
( sQ42_spl
<=> index(status,host(sK9_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( sQ42_spl
| index(status,host(sK9_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f801,plain,
( sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f242]) ).
fof(f802,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( sQ42_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f246,f783]) ).
fof(f804,plain,
( sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f803]) ).
fof(f805,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
host(sK10_skl) = s(host(sK11_skl)),
inference(forward_demodulation,[status(thm)],[f247,f248]) ).
fof(f823,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| nbr_proc != s(index(pendack,host(X0)))
| host(X1) != s(index(pendack,host(X0)))
| host(X2) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(resolution,[status(thm)],[f253,f209]) ).
fof(f828,definition,
! [X0] :
( sQ47_spl
<=> ( host(X0) != s(index(pendack,host(sK9_skl)))
| ~ elem(m_Down(X0),queue(host(sK9_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ47_spl
| host(X0) != s(index(pendack,host(sK9_skl)))
| ~ elem(m_Down(X0),queue(host(sK9_skl))) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f864,plain,
( sK4_skl = sK5_skl
| ~ setIn(sK5_skl,alive)
| index(status,host(sK5_skl)) != elec_2 ),
inference(paramodulation,[status(thm)],[f236,f223]) ).
fof(f866,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f864,f666,f363,f366]) ).
fof(f930,plain,
leq(nbr_proc,s(host(sK11_skl))),
inference(forward_demodulation,[status(thm)],[f247,f243]) ).
fof(f931,plain,
leq(nbr_proc,host(sK10_skl)),
inference(forward_demodulation,[status(thm)],[f806,f930]) ).
fof(f933,plain,
( host(sK10_skl) = nbr_proc
| ~ leq(host(sK10_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f931,f196]) ).
fof(f934,definition,
( sQ55_spl
<=> leq(host(sK10_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( sQ55_spl
| ~ leq(host(sK10_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ56_spl
<=> host(sK10_skl) = nbr_proc ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ56_spl
| host(sK10_skl) = nbr_proc ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( sQ56_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f933,f934,f937]) ).
fof(f941,plain,
( sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f76]) ).
fof(f942,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ56_spl
| nbr_proc = s(host(sK11_skl)) ),
inference(backward_demodulation,[status(thm)],[f938,f806]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ47_spl
| host(X0) != s(host(sK11_skl))
| ~ elem(m_Down(X0),queue(host(sK9_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f829]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ56_spl
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK9_skl))) ),
inference(forward_demodulation,[status(thm)],[f944,f1138]) ).
fof(f1363,plain,
( sQ25_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f237,f668]) ).
fof(f1364,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1363]) ).
fof(f1365,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1372,plain,
( ~ sQ4_spl
| elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK9_skl)),m_Halt(sK4_skl))) ),
inference(backward_demodulation,[status(thm)],[f367,f245]) ).
fof(f1373,plain,
( ~ sQ4_spl
| elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Halt(sK4_skl))) ),
inference(backward_demodulation,[status(thm)],[f367,f244]) ).
fof(f1386,plain,
( ~ sQ4_spl
| elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK9_skl)))
| m_Ack(sK9_skl,sK11_skl) = m_Halt(sK4_skl) ),
inference(resolution,[status(thm)],[f1372,f145]) ).
fof(f1387,definition,
( sQ89_spl
<=> m_Ack(sK9_skl,sK11_skl) = m_Halt(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( ~ sQ89_spl
| m_Ack(sK9_skl,sK11_skl) = m_Halt(sK4_skl) ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,plain,
( ~ sQ4_spl
| sQ38_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1386,f1387,f747,f366]) ).
fof(f1391,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1388,f83]) ).
fof(f1392,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1393,plain,
( ~ sQ4_spl
| elem(m_Down(sK10_skl),queue(host(sK9_skl)))
| m_Down(sK10_skl) = m_Halt(sK4_skl) ),
inference(resolution,[status(thm)],[f1373,f145]) ).
fof(f1394,definition,
( sQ90_spl
<=> m_Down(sK10_skl) = m_Halt(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ90_spl
| m_Down(sK10_skl) = m_Halt(sK4_skl) ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ sQ4_spl
| sQ36_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1393,f1394,f737,f366]) ).
fof(f1398,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1395,f89]) ).
fof(f1399,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1725,plain,
( ~ sQ1_spl
| index(status,host(sK12_skl)) != norm
| ~ setIn(sK12_skl,alive) ),
inference(resolution,[status(thm)],[f256,f250]) ).
fof(f1728,definition,
( sQ113_spl
<=> setIn(sK12_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1730,plain,
( sQ113_spl
| ~ setIn(sK12_skl,alive) ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,definition,
( sQ114_spl
<=> index(status,host(sK12_skl)) = norm ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( sQ114_spl
| index(status,host(sK12_skl)) != norm ),
inference(component_clause,[status(thm)],[f1731]) ).
fof(f1734,plain,
( ~ sQ1_spl
| ~ sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f1725,f1728,f1731,f255]) ).
fof(f1744,plain,
( sQ114_spl
| norm != norm ),
inference(forward_demodulation,[status(thm)],[f251,f1733]) ).
fof(f1745,plain,
( sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1744]) ).
fof(f1746,plain,
sQ114_spl,
inference(contradiction_clause,[status(thm)],[f1745]) ).
fof(f1747,plain,
( sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f249]) ).
fof(f1748,plain,
sQ113_spl,
inference(contradiction_clause,[status(thm)],[f1747]) ).
fof(f3717,definition,
( sQ234_spl
<=> s(zero) = host(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f3718,plain,
( ~ sQ234_spl
| s(zero) = host(sK9_skl) ),
inference(component_clause,[status(thm)],[f3717]) ).
fof(f3813,plain,
! [X0] :
( ~ sQ234_spl
| leq(host(sK9_skl),host(X0)) ),
inference(backward_demodulation,[status(thm)],[f3718,f74]) ).
fof(f4661,definition,
( sQ287_spl
<=> host(sK11_skl) = index(pendack,host(sK9_skl)) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f4663,plain,
( sQ287_spl
| host(sK11_skl) != index(pendack,host(sK9_skl)) ),
inference(component_clause,[status(thm)],[f4661]) ).
fof(f4694,plain,
( sQ287_spl
| host(sK11_skl) != host(sK11_skl) ),
inference(forward_demodulation,[status(thm)],[f247,f4663]) ).
fof(f4695,plain,
( sQ287_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4694]) ).
fof(f4696,plain,
sQ287_spl,
inference(contradiction_clause,[status(thm)],[f4695]) ).
fof(f4768,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ0_spl
| nbr_proc != s(index(pendack,host(sK9_skl)))
| host(X0) != s(index(pendack,host(sK9_skl)))
| host(sK11_skl) != index(pendack,host(sK9_skl))
| index(status,host(sK9_skl)) != elec_2
| ~ elem(m_Down(X0),queue(host(sK9_skl)))
| ~ setIn(sK9_skl,alive) ),
inference(resolution,[status(thm)],[f823,f748]) ).
fof(f4772,definition,
( sQ296_spl
<=> nbr_proc = s(index(pendack,host(sK9_skl))) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f4774,plain,
( sQ296_spl
| nbr_proc != s(index(pendack,host(sK9_skl))) ),
inference(component_clause,[status(thm)],[f4772]) ).
fof(f4775,plain,
( ~ sQ38_spl
| ~ sQ0_spl
| ~ sQ296_spl
| ~ sQ287_spl
| ~ sQ42_spl
| sQ47_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4768,f775,f828,f781,f4661,f4772,f252,f747]) ).
fof(f4788,plain,
( sQ296_spl
| nbr_proc != s(host(sK11_skl)) ),
inference(forward_demodulation,[status(thm)],[f247,f4774]) ).
fof(f4789,plain,
( sQ296_spl
| ~ sQ56_spl
| nbr_proc != nbr_proc ),
inference(forward_demodulation,[status(thm)],[f944,f4788]) ).
fof(f4790,plain,
( sQ296_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4789]) ).
fof(f4791,plain,
( sQ296_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4790]) ).
fof(f5182,plain,
( ~ sQ234_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f715,f3813]) ).
fof(f5196,plain,
~ sQ234_spl,
inference(contradiction_clause,[status(thm)],[f5182]) ).
fof(f5889,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| ~ sQ56_spl
| host(sK10_skl) != nbr_proc ),
inference(resolution,[status(thm)],[f1139,f738]) ).
fof(f5890,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| ~ sQ56_spl
| nbr_proc != nbr_proc ),
inference(forward_demodulation,[status(thm)],[f938,f5889]) ).
fof(f5891,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5890]) ).
fof(f5892,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f5891]) ).
fof(f5893,plain,
$false,
inference(sat_refutation,[status(thm)],[f258,f582,f802,f805,f866,f940,f942,f1365,f1390,f1392,f1397,f1399,f1734,f1746,f1748,f4696,f4775,f4791,f5196,f5892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV464+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n007.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 08:50:40 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.39 % Drodi V4.1.1
% 11.87/6.99 % Refutation found
% 11.87/6.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.87/6.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.90/7.02 % Elapsed time: 1.647354 seconds
% 9.90/7.02 % CPU time: 12.842924 seconds
% 9.90/7.02 % Total memory used: 214.281 MB
% 9.90/7.02 % Net memory used: 193.265 MB
%------------------------------------------------------------------------------