%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV480+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 : n015.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 02:48:01 PM UTC 2026
% Result : Theorem 16.52s 2.58s
% Output : CNFRefutation 16.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 116 ( 33 unt; 15 def)
% Number of atoms : 903 ( 347 equ)
% Maximal formula atoms : 125 ( 7 avg)
% Number of connectives : 1249 ( 462 ~; 398 |; 315 &)
% ( 18 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-4 aty)
% Number of variables : 336 ( 315 !; 21 ?)
% 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(f47,axiom,
! [X,Y,Q] :
( elem(X,cons(Y,Q))
<=> ( 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_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(X) != host(Y0)
=> ( ( index(status,host(Y0)) = elec_1
& host(W0) = s(host(Y0))
& elem(m_Down(X0),queue(host(Y0)))
& elem(m_Down(W0),queue(host(Y0)))
& 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_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(X) != host(Y0)
=> ( ( index(status,host(Y0)) = elec_1
& host(W0) = s(host(Y0))
& elem(m_Down(X0),queue(host(Y0)))
& elem(m_Down(W0),queue(host(Y0)))
& 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(f138,plain,
! [X,Y,Q] :
( ( ( ~ elem(X,Q)
& X != Y )
| elem(X,cons(Y,Q)) )
& ( elem(X,Q)
| X = Y
| ~ elem(X,cons(Y,Q)) ) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f139,plain,
( ! [X,Y,Q] :
( ( ~ elem(X,Q)
& X != Y )
| elem(X,cons(Y,Q)) )
& ! [X,Y,Q] :
( elem(X,Q)
| X = Y
| ~ elem(X,cons(Y,Q)) ) ),
inference(miniscoping,[status(thm)],[f138]) ).
fof(f141,plain,
! [X0,X1,X2] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
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),queue(host(Y0)))
& elem(m_Down(W0),queue(host(Y0)))
& 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(X) = host(V0) )
& ~ 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
& leq(host(X),host(Y))
& setIn(X,alive)
& queue(host(X)) = cons(m_Down(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,
? [X,Y] :
( ? [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),queue(host(Y0)))
& elem(m_Down(W0),queue(host(Y0)))
& 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(X) = host(V0) )
& ? [Z] : ~ 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
& leq(host(X),host(Y))
& setIn(X,alive)
& ? [V] : queue(host(X)) = cons(m_Down(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(sK4_skl) = host(sK10_skl)
& setIn(sK10_skl,alive)
& index(status,host(sK11_skl)) = elec_1
& host(sK12_skl) = s(host(sK11_skl))
& elem(m_Down(sK13_skl),queue(host(sK11_skl)))
& elem(m_Down(sK12_skl),queue(host(sK11_skl)))
& leq(nbr_proc,s(host(sK11_skl)))
& setIn(sK11_skl,alive)
& ! [V1] :
( V1 = host(sK13_skl)
| setIn(V1,index(down,host(sK11_skl)))
| ~ leq(s(zero),V1)
| leq(host(sK11_skl),V1) )
& host(sK4_skl) != host(sK11_skl)
& host(sK4_skl) = host(sK10_skl)
& ~ setIn(host(sK9_skl),index(acks,host(sK4_skl)))
& leq(nbr_proc,index(pendack,host(sK4_skl)))
& host(sK5_skl) = index(pendack,host(sK4_skl))
& index(status,host(sK4_skl)) = elec_2
& leq(host(sK4_skl),host(sK5_skl))
& setIn(sK4_skl,alive)
& queue(host(sK4_skl)) = cons(m_Down(sK5_skl),sK8_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)
| ( sK7_skl(Pid20,Pid30,Pid0) != host(Pid20)
& ~ setIn(sK7_skl(Pid20,Pid30,Pid0),index(down,host(Pid0)))
& leq(s(zero),sK7_skl(Pid20,Pid30,Pid0))
& ~ leq(host(Pid0),sK7_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)
| ( sK6_skl(Pid20,Pid0,Pid30,Z) != host(Pid20)
& ~ setIn(sK6_skl(Pid20,Pid0,Pid30,Z),index(down,host(Pid0)))
& leq(s(zero),sK6_skl(Pid20,Pid0,Pid30,Z))
& ~ leq(host(Pid0),sK6_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]),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(V0,sK6_skl(Pid20,Pid0,Pid30,Z)),skolemize(V0,sK7_skl(Pid20,Pid30,Pid0)),skolemize(V,sK8_skl),skolemize(Z,sK9_skl),skolemize(V0,sK10_skl),skolemize(Y0,sK11_skl),skolemize(W0,sK12_skl),skolemize(X0,sK13_skl)],[f213]) ).
fof(f216,plain,
! [X0,X1] :
( host(X0) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ),
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(f238,plain,
queue(host(sK4_skl)) = cons(m_Down(sK5_skl),sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f239,plain,
setIn(sK4_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f241,plain,
index(status,host(sK4_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
host(sK5_skl) = index(pendack,host(sK4_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
leq(nbr_proc,index(pendack,host(sK4_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f246,plain,
host(sK4_skl) != host(sK11_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f247,plain,
! [X0] :
( X0 = host(sK13_skl)
| setIn(X0,index(down,host(sK11_skl)))
| ~ leq(s(zero),X0)
| leq(host(sK11_skl),X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f248,plain,
setIn(sK11_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f249,plain,
leq(nbr_proc,s(host(sK11_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f251,plain,
elem(m_Down(sK13_skl),queue(host(sK11_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f252,plain,
host(sK12_skl) = s(host(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f275,plain,
! [X0,X1] : elem(X0,cons(X0,X1)),
inference(destructive_equality_resolution,[status(thm)],[f141]) ).
fof(f299,definition,
( sQ7_spl
<=> setIn(sK4_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( sQ7_spl
| ~ setIn(sK4_skl,alive) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f360,plain,
! [X0] :
( nbr_proc = host(X0)
| ~ leq(nbr_proc,host(X0)) ),
inference(resolution,[status(thm)],[f196,f76]) ).
fof(f511,definition,
( sQ22_spl
<=> leq(nbr_proc,host(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ22_spl
| leq(nbr_proc,host(sK11_skl)) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f686,plain,
elem(m_Down(sK5_skl),queue(host(sK4_skl))),
inference(paramodulation,[status(thm)],[f238,f275]) ).
fof(f726,plain,
! [X0,X1] :
( leq(host(sK5_skl),host(X0))
| index(status,host(sK4_skl)) != elec_2
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK4_skl,alive)
| ~ setIn(X0,alive) ),
inference(paramodulation,[status(thm)],[f242,f222]) ).
fof(f727,plain,
! [X0] :
( leq(host(sK5_skl),host(X0))
| index(status,host(sK4_skl)) != elec_2
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(sK4_skl,alive)
| ~ setIn(X0,alive) ),
inference(paramodulation,[status(thm)],[f242,f220]) ).
fof(f728,definition,
! [X0,X1] :
( sQ36_spl
<=> ( leq(host(sK5_skl),host(X0))
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f729,plain,
! [X0,X1] :
( ~ sQ36_spl
| leq(host(sK5_skl),host(X0))
| host(sK4_skl) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ37_spl
<=> index(status,host(sK4_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( sQ37_spl
| index(status,host(sK4_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( ~ sQ37_spl
| ~ sQ7_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f726,f728,f299,f731]) ).
fof(f735,definition,
! [X0] :
( sQ38_spl
<=> ( leq(host(sK5_skl),host(X0))
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f736,plain,
! [X0] :
( ~ sQ38_spl
| leq(host(sK5_skl),host(X0))
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ37_spl
| ~ sQ7_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f727,f735,f299,f731]) ).
fof(f739,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f239]) ).
fof(f740,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( sQ37_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f241,f733]) ).
fof(f742,plain,
( sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f741]) ).
fof(f743,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f744,plain,
leq(nbr_proc,host(sK5_skl)),
inference(forward_demodulation,[status(thm)],[f242,f243]) ).
fof(f746,plain,
( host(sK5_skl) = nbr_proc
| ~ leq(host(sK5_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f744,f196]) ).
fof(f747,definition,
( sQ39_spl
<=> leq(host(sK5_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( sQ39_spl
| ~ leq(host(sK5_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,definition,
( sQ40_spl
<=> host(sK5_skl) = nbr_proc ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ40_spl
| host(sK5_skl) = nbr_proc ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f746,f747,f750]) ).
fof(f773,definition,
( sQ44_spl
<=> setIn(sK11_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( sQ44_spl
| ~ setIn(sK11_skl,alive) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f781,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f775,f248]) ).
fof(f782,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f964,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f76]) ).
fof(f965,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f964]) ).
fof(f1083,definition,
( sQ94_spl
<=> nbr_proc = host(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ94_spl
| nbr_proc = host(sK4_skl) ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1231,plain,
! [X0] :
( leq(X0,host(sK11_skl))
| X0 = s(host(sK11_skl))
| ~ leq(X0,host(sK12_skl)) ),
inference(paramodulation,[status(thm)],[f252,f208]) ).
fof(f1237,plain,
~ leq(host(sK12_skl),host(sK11_skl)),
inference(paramodulation,[status(thm)],[f252,f191]) ).
fof(f1240,plain,
! [X0] :
( leq(X0,host(sK11_skl))
| X0 = host(sK12_skl)
| ~ leq(X0,host(sK12_skl)) ),
inference(forward_demodulation,[status(thm)],[f252,f1231]) ).
fof(f1241,plain,
leq(nbr_proc,host(sK12_skl)),
inference(forward_demodulation,[status(thm)],[f252,f249]) ).
fof(f1242,plain,
nbr_proc = host(sK12_skl),
inference(resolution,[status(thm)],[f1241,f360]) ).
fof(f2089,plain,
~ leq(nbr_proc,host(sK11_skl)),
inference(forward_demodulation,[status(thm)],[f1242,f1237]) ).
fof(f2823,plain,
host(sK5_skl) != host(sK4_skl),
inference(resolution,[status(thm)],[f686,f216]) ).
fof(f2829,plain,
( ~ sQ40_spl
| nbr_proc != host(sK4_skl) ),
inference(forward_demodulation,[status(thm)],[f751,f2823]) ).
fof(f2988,plain,
! [X0,X1] :
( ~ sQ36_spl
| ~ sQ40_spl
| 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)],[f751,f729]) ).
fof(f2990,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| leq(nbr_proc,host(sK11_skl))
| host(sK4_skl) != host(sK13_skl)
| ~ setIn(sK11_skl,alive) ),
inference(resolution,[status(thm)],[f2988,f251]) ).
fof(f2999,definition,
( sQ186_spl
<=> host(sK4_skl) = host(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f3002,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| sQ22_spl
| ~ sQ186_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2990,f773,f2999,f511,f750,f728]) ).
fof(f3022,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f2089]) ).
fof(f3023,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f3022]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ40_spl
| leq(nbr_proc,host(X0))
| ~ setIn(host(sK4_skl),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[status(thm)],[f751,f736]) ).
fof(f3110,plain,
( ~ sQ38_spl
| ~ sQ40_spl
| host(sK4_skl) = host(sK13_skl)
| ~ leq(s(zero),host(sK4_skl))
| leq(host(sK11_skl),host(sK4_skl))
| leq(nbr_proc,host(sK11_skl))
| ~ setIn(sK11_skl,alive) ),
inference(resolution,[status(thm)],[f3109,f247]) ).
fof(f3113,definition,
( sQ194_spl
<=> leq(host(sK11_skl),host(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f3114,plain,
( ~ sQ194_spl
| leq(host(sK11_skl),host(sK4_skl)) ),
inference(component_clause,[status(thm)],[f3113]) ).
fof(f3116,definition,
( sQ195_spl
<=> leq(s(zero),host(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f3118,plain,
( sQ195_spl
| ~ leq(s(zero),host(sK4_skl)) ),
inference(component_clause,[status(thm)],[f3116]) ).
fof(f3119,plain,
( ~ sQ38_spl
| ~ sQ40_spl
| sQ186_spl
| ~ sQ195_spl
| sQ194_spl
| sQ22_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3110,f773,f511,f3113,f3116,f2999,f750,f735]) ).
fof(f3202,definition,
( sQ198_spl
<=> host(sK11_skl) = host(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f3203,plain,
( ~ sQ198_spl
| host(sK11_skl) = host(sK4_skl) ),
inference(component_clause,[status(thm)],[f3202]) ).
fof(f3238,plain,
( ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3203,f246]) ).
fof(f3239,plain,
~ sQ198_spl,
inference(contradiction_clause,[status(thm)],[f3238]) ).
fof(f3798,plain,
! [X0] :
( leq(X0,host(sK11_skl))
| X0 = host(sK12_skl)
| ~ leq(X0,nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f1242,f1240]) ).
fof(f3799,plain,
! [X0] :
( leq(X0,host(sK11_skl))
| X0 = nbr_proc
| ~ leq(X0,nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f1242,f3798]) ).
fof(f3951,plain,
( ~ sQ194_spl
| host(sK4_skl) = host(sK11_skl)
| ~ leq(host(sK4_skl),host(sK11_skl)) ),
inference(resolution,[status(thm)],[f3114,f196]) ).
fof(f3956,definition,
( sQ232_spl
<=> leq(host(sK4_skl),host(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f3958,plain,
( sQ232_spl
| ~ leq(host(sK4_skl),host(sK11_skl)) ),
inference(component_clause,[status(thm)],[f3956]) ).
fof(f3959,plain,
( ~ sQ194_spl
| sQ198_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f3951,f3956,f3202,f3113]) ).
fof(f4034,plain,
( sQ232_spl
| host(sK4_skl) = nbr_proc
| ~ leq(host(sK4_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f3958,f3799]) ).
fof(f4040,definition,
( sQ241_spl
<=> leq(host(sK4_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f4042,plain,
( sQ241_spl
| ~ leq(host(sK4_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f4040]) ).
fof(f4043,plain,
( sQ232_spl
| sQ94_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f4034,f4040,f1083,f3956]) ).
fof(f4044,plain,
( ~ sQ94_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f2829]) ).
fof(f4045,plain,
( ~ sQ94_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4044]) ).
fof(f4046,plain,
( sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4042,f76]) ).
fof(f4047,plain,
sQ241_spl,
inference(contradiction_clause,[status(thm)],[f4046]) ).
fof(f4048,plain,
( sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3118,f74]) ).
fof(f4049,plain,
sQ195_spl,
inference(contradiction_clause,[status(thm)],[f4048]) ).
fof(f4050,plain,
$false,
inference(sat_refutation,[status(thm)],[f734,f738,f740,f743,f753,f782,f965,f3002,f3023,f3119,f3239,f3959,f4043,f4045,f4047,f4049]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:56:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 16.52/2.58 % Refutation found
% 16.52/2.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.52/2.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.52/2.62 % Elapsed time: 2.231448 seconds
% 16.52/2.62 % CPU time: 17.102787 seconds
% 16.52/2.62 % Total memory used: 186.909 MB
% 16.52/2.62 % Net memory used: 171.800 MB
%------------------------------------------------------------------------------