%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV457+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 : n002.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 02:47:58 PM UTC 2026
% Result : Theorem 14.20s 2.25s
% Output : CNFRefutation 14.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 179 ( 31 unt; 27 def)
% Number of atoms : 812 ( 257 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 1078 ( 445 ~; 366 |; 193 &)
% ( 30 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 28 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 304 ( 292 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [P] : leq(host(P),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X1,X2,Y1,Y2] :
( X1 != X2
=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X1,X2,Y1,Y2] :
( Y1 != Y2
=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ),
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(f48,axiom,
! [X,Y,Q] :
( elem(X,snoc(Q,Y))
<=> ( elem(X,Q)
| X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [X] : leq(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(f67,conjecture,
! [V,W,X] :
( ( queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid0] :
( ( host(Z) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,index(pendack,host(Pid0)))
& elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& elem(m_Halt(Pid0),queue(host(Z)))
& setIn(Pid0,alive)
& ~ leq(index(pendack,host(Pid0)),host(Y)) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_2
& index(status,host(Y)) = elec_2
& setIn(Z,alive)
& setIn(Y,alive)
& ~ leq(host(Y),host(Z)) )
=> ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) )
& ! [Y,Z,Pid0] :
( ( host(Z) = host(Y)
& elem(m_Ack(Pid0,Y),queue(host(Pid0)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> ~ setIn(host(Pid0),index(down,host(Z))) )
& ! [Y,Z,Pid0] :
( ( host(Pid0) = host(Y)
& elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& elem(m_Down(Y),queue(host(Z))) )
=> ~ setIn(Pid0,alive) )
& ! [Y] :
( ( setIn(Y,alive)
& ( index(status,host(Y)) = elec_2
| index(status,host(Y)) = elec_1 ) )
=> index(elid,host(Y)) = Y )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_1
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Y),queue(host(Z))) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_1
& setIn(Z,alive) )
=> ~ elem(m_Ack(Y,Z),queue(host(Y))) )
& ! [Y,Z] :
( ( elem(m_Ack(Z,Y),queue(host(Z)))
& setIn(Z,alive) )
=> leq(host(Y),index(pendack,host(Z))) )
& ! [Y,Z] :
( ( host(Z) = host(Y)
& Z != Y )
=> ( ~ setIn(Z,alive)
| ~ setIn(Y,alive) ) )
& ! [Y,Z] :
( ( host(Z) = host(Y)
& leq(Z,Y)
& ~ setIn(Y,alive) )
=> ~ setIn(Z,alive) )
& ! [Y,Z,Pid0] :
( elem(m_Ack(Pid0,Y),queue(host(Z)))
=> ~ leq(host(Y),host(Pid0)) )
& ! [Y,Z] :
( elem(m_Ldr(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) )
& ! [Y,Z] :
( elem(m_Down(Z),queue(host(Y)))
=> ~ setIn(Z,alive) )
& ! [Y,Z] :
( elem(m_Ack(Z,Y),queue(host(Z)))
=> setIn(Z,pids) ) )
=> ( setIn(W,alive)
=> ! [Y] :
( host(W) != host(Y)
=> ! [Z,X0] :
( host(X) = host(X0)
=> ( host(W) != host(X0)
=> ( ( host(Z) = index(pendack,host(X0))
& index(status,host(X0)) = elec_2
& elem(m_Ack(X0,Z),snoc(queue(host(X0)),m_Ack(X,W)))
& leq(nbr_proc,index(pendack,host(X0)))
& setIn(X0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ ! [V,W,X] :
( ( queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid0] :
( ( host(Z) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,index(pendack,host(Pid0)))
& elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& elem(m_Halt(Pid0),queue(host(Z)))
& setIn(Pid0,alive)
& ~ leq(index(pendack,host(Pid0)),host(Y)) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_2
& index(status,host(Y)) = elec_2
& setIn(Z,alive)
& setIn(Y,alive)
& ~ leq(host(Y),host(Z)) )
=> ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) )
& ! [Y,Z,Pid0] :
( ( host(Z) = host(Y)
& elem(m_Ack(Pid0,Y),queue(host(Pid0)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> ~ setIn(host(Pid0),index(down,host(Z))) )
& ! [Y,Z,Pid0] :
( ( host(Pid0) = host(Y)
& elem(m_Ack(Pid0,Z),queue(host(Pid0)))
& elem(m_Down(Y),queue(host(Z))) )
=> ~ setIn(Pid0,alive) )
& ! [Y] :
( ( setIn(Y,alive)
& ( index(status,host(Y)) = elec_2
| index(status,host(Y)) = elec_1 ) )
=> index(elid,host(Y)) = Y )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_1
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Y),queue(host(Z))) )
& ! [Y,Z] :
( ( index(status,host(Z)) = elec_1
& setIn(Z,alive) )
=> ~ elem(m_Ack(Y,Z),queue(host(Y))) )
& ! [Y,Z] :
( ( elem(m_Ack(Z,Y),queue(host(Z)))
& setIn(Z,alive) )
=> leq(host(Y),index(pendack,host(Z))) )
& ! [Y,Z] :
( ( host(Z) = host(Y)
& Z != Y )
=> ( ~ setIn(Z,alive)
| ~ setIn(Y,alive) ) )
& ! [Y,Z] :
( ( host(Z) = host(Y)
& leq(Z,Y)
& ~ setIn(Y,alive) )
=> ~ setIn(Z,alive) )
& ! [Y,Z,Pid0] :
( elem(m_Ack(Pid0,Y),queue(host(Z)))
=> ~ leq(host(Y),host(Pid0)) )
& ! [Y,Z] :
( elem(m_Ldr(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) )
& ! [Y,Z] :
( elem(m_Down(Z),queue(host(Y)))
=> ~ setIn(Z,alive) )
& ! [Y,Z] :
( elem(m_Ack(Z,Y),queue(host(Z)))
=> setIn(Z,pids) ) )
=> ( setIn(W,alive)
=> ! [Y] :
( host(W) != host(Y)
=> ! [Z,X0] :
( host(X) = host(X0)
=> ( host(W) != host(X0)
=> ( ( host(Z) = index(pendack,host(X0))
& index(status,host(X0)) = elec_2
& elem(m_Ack(X0,Z),snoc(queue(host(X0)),m_Ack(X,W)))
& leq(nbr_proc,index(pendack,host(X0)))
& setIn(X0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f76,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
! [X1,X2,Y1,Y2] :
( m_Ack(X1,Y1) != m_Ack(X2,Y2)
| X1 = X2 ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f119,plain,
! [X1,X2] :
( ! [Y1,Y2] : m_Ack(X1,Y1) != m_Ack(X2,Y2)
| X1 = X2 ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [X1,X2,Y1,Y2] :
( m_Ack(X1,Y1) != m_Ack(X2,Y2)
| Y1 = Y2 ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f122,plain,
! [Y1,Y2] :
( ! [X1,X2] : m_Ack(X1,Y1) != m_Ack(X2,Y2)
| Y1 = Y2 ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( m_Ack(X2,X0) != m_Ack(X3,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f122]) ).
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(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(f192,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f60]) ).
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(f212,plain,
? [V,W,X] :
( ? [Y] :
( ? [Z,X0] :
( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& host(Z) = index(pendack,host(X0))
& index(status,host(X0)) = elec_2
& elem(m_Ack(X0,Z),snoc(queue(host(X0)),m_Ack(X,W)))
& leq(nbr_proc,index(pendack,host(X0)))
& setIn(X0,alive)
& host(W) != host(X0)
& host(X) = host(X0) )
& host(W) != host(Y) )
& setIn(W,alive)
& queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid0] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| host(Z) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Y,Z,Pid0] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| index(status,host(Pid0)) != elec_2
| ~ elem(m_Halt(Pid0),queue(host(Z)))
| ~ setIn(Pid0,alive)
| leq(index(pendack,host(Pid0)),host(Y)) )
& ! [Y,Z] :
( ~ leq(index(pendack,host(Y)),index(pendack,host(Z)))
| index(status,host(Z)) != elec_2
| index(status,host(Y)) != elec_2
| ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| leq(host(Y),host(Z)) )
& ! [Y,Z,Pid0] :
( ~ setIn(host(Pid0),index(down,host(Z)))
| host(Z) != host(Y)
| ~ elem(m_Ack(Pid0,Y),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Y,Z,Pid0] :
( ~ setIn(Pid0,alive)
| host(Pid0) != host(Y)
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ elem(m_Down(Y),queue(host(Z))) )
& ! [Y] :
( index(elid,host(Y)) = Y
| ~ setIn(Y,alive)
| ( index(status,host(Y)) != elec_2
& index(status,host(Y)) != elec_1 ) )
& ! [Y,Z] :
( ~ elem(m_Ack(Z,Y),queue(host(Z)))
| index(status,host(Z)) != elec_1
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( ~ elem(m_Ack(Y,Z),queue(host(Y)))
| index(status,host(Z)) != elec_1
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( leq(host(Y),index(pendack,host(Z)))
| ~ elem(m_Ack(Z,Y),queue(host(Z)))
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| host(Z) != host(Y)
| Z = Y )
& ! [Y,Z] :
( ~ setIn(Z,alive)
| host(Z) != host(Y)
| ~ leq(Z,Y)
| setIn(Y,alive) )
& ! [Y,Z,Pid0] :
( ~ leq(host(Y),host(Pid0))
| ~ elem(m_Ack(Pid0,Y),queue(host(Z))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Ldr(Z),queue(host(Y))) )
& ! [Y,Z] :
( ~ setIn(Z,alive)
| ~ elem(m_Down(Z),queue(host(Y))) )
& ! [Y,Z] :
( setIn(Z,pids)
| ~ elem(m_Ack(Z,Y),queue(host(Z))) ) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f213,plain,
? [W,X] :
( ? [Y] :
( ? [X0] :
( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& ? [Z] :
( host(Z) = index(pendack,host(X0))
& index(status,host(X0)) = elec_2
& elem(m_Ack(X0,Z),snoc(queue(host(X0)),m_Ack(X,W)))
& leq(nbr_proc,index(pendack,host(X0)))
& setIn(X0,alive) )
& host(W) != host(X0)
& host(X) = host(X0) )
& host(W) != host(Y) )
& setIn(W,alive)
& ? [V] : queue(host(W)) = cons(m_Halt(X),V)
& ( ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive) )
| ! [Z,Pid0] :
( host(Z) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) )
& ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| ! [Z] : ~ elem(m_Halt(Pid0),queue(host(Z)))
| ~ setIn(Pid0,alive)
| leq(index(pendack,host(Pid0)),host(Y)) ) )
& ! [Y,Z] :
( ~ leq(index(pendack,host(Y)),index(pendack,host(Z)))
| index(status,host(Z)) != elec_2
| index(status,host(Y)) != elec_2
| ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| leq(host(Y),host(Z)) )
& ! [Z,Pid0] :
( ~ setIn(host(Pid0),index(down,host(Z)))
| ! [Y] :
( host(Z) != host(Y)
| ~ elem(m_Ack(Pid0,Y),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Pid0] :
( ~ setIn(Pid0,alive)
| ! [Y] :
( host(Pid0) != host(Y)
| ! [Z] :
( ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ elem(m_Down(Y),queue(host(Z))) ) ) )
& ! [Y] :
( index(elid,host(Y)) = Y
| ~ setIn(Y,alive)
| ( index(status,host(Y)) != elec_2
& index(status,host(Y)) != elec_1 ) )
& ! [Z] :
( ! [Y] : ~ elem(m_Ack(Z,Y),queue(host(Z)))
| index(status,host(Z)) != elec_1
| ~ setIn(Z,alive) )
& ! [Z] :
( ! [Y] : ~ elem(m_Ack(Y,Z),queue(host(Y)))
| index(status,host(Z)) != elec_1
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( leq(host(Y),index(pendack,host(Z)))
| ~ elem(m_Ack(Z,Y),queue(host(Z)))
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| host(Z) != host(Y)
| Z = Y )
& ! [Z] :
( ~ setIn(Z,alive)
| ! [Y] :
( host(Z) != host(Y)
| ~ leq(Z,Y)
| setIn(Y,alive) ) )
& ! [Y,Pid0] :
( ~ leq(host(Y),host(Pid0))
| ! [Z] : ~ elem(m_Ack(Pid0,Y),queue(host(Z))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Ldr(Z),queue(host(Y))) )
& ! [Z] :
( ~ setIn(Z,alive)
| ! [Y] : ~ elem(m_Down(Z),queue(host(Y))) )
& ! [Z] :
( setIn(Z,pids)
| ! [Y] : ~ elem(m_Ack(Z,Y),queue(host(Z))) ) ),
inference(miniscoping,[status(thm)],[f212]) ).
fof(f214,plain,
( index(status,host(sK7_skl)) = norm
& index(ldr,host(sK7_skl)) = host(sK7_skl)
& setIn(sK7_skl,alive)
& host(sK9_skl) = index(pendack,host(sK8_skl))
& index(status,host(sK8_skl)) = elec_2
& elem(m_Ack(sK8_skl,sK9_skl),snoc(queue(host(sK8_skl)),m_Ack(sK5_skl,sK4_skl)))
& leq(nbr_proc,index(pendack,host(sK8_skl)))
& setIn(sK8_skl,alive)
& host(sK4_skl) != host(sK8_skl)
& host(sK5_skl) = host(sK8_skl)
& host(sK4_skl) != host(sK7_skl)
& setIn(sK4_skl,alive)
& queue(host(sK4_skl)) = cons(m_Halt(sK5_skl),sK6_skl)
& ( ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive) )
| ! [Z,Pid0] :
( host(Z) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) )
& ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| ! [Z] : ~ elem(m_Halt(Pid0),queue(host(Z)))
| ~ setIn(Pid0,alive)
| leq(index(pendack,host(Pid0)),host(Y)) ) )
& ! [Y,Z] :
( ~ leq(index(pendack,host(Y)),index(pendack,host(Z)))
| index(status,host(Z)) != elec_2
| index(status,host(Y)) != elec_2
| ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| leq(host(Y),host(Z)) )
& ! [Z,Pid0] :
( ~ setIn(host(Pid0),index(down,host(Z)))
| ! [Y] :
( host(Z) != host(Y)
| ~ elem(m_Ack(Pid0,Y),queue(host(Pid0)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Pid0] :
( ~ setIn(Pid0,alive)
| ! [Y] :
( host(Pid0) != host(Y)
| ! [Z] :
( ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ elem(m_Down(Y),queue(host(Z))) ) ) )
& ! [Y] :
( index(elid,host(Y)) = Y
| ~ setIn(Y,alive)
| ( index(status,host(Y)) != elec_2
& index(status,host(Y)) != elec_1 ) )
& ! [Z] :
( ! [Y] : ~ elem(m_Ack(Z,Y),queue(host(Z)))
| index(status,host(Z)) != elec_1
| ~ setIn(Z,alive) )
& ! [Z] :
( ! [Y] : ~ elem(m_Ack(Y,Z),queue(host(Y)))
| index(status,host(Z)) != elec_1
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( leq(host(Y),index(pendack,host(Z)))
| ~ elem(m_Ack(Z,Y),queue(host(Z)))
| ~ setIn(Z,alive) )
& ! [Y,Z] :
( ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| host(Z) != host(Y)
| Z = Y )
& ! [Z] :
( ~ setIn(Z,alive)
| ! [Y] :
( host(Z) != host(Y)
| ~ leq(Z,Y)
| setIn(Y,alive) ) )
& ! [Y,Pid0] :
( ~ leq(host(Y),host(Pid0))
| ! [Z] : ~ elem(m_Ack(Pid0,Y),queue(host(Z))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Ldr(Z),queue(host(Y))) )
& ! [Z] :
( ~ setIn(Z,alive)
| ! [Y] : ~ elem(m_Down(Z),queue(host(Y))) )
& ! [Z] :
( setIn(Z,pids)
| ! [Y] : ~ elem(m_Ack(Z,Y),queue(host(Z))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(W,sK4_skl),skolemize(X,sK5_skl),skolemize(V,sK6_skl),skolemize(Y,sK7_skl),skolemize(X0,sK8_skl),skolemize(Z,sK9_skl)],[f213]) ).
fof(f219,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| host(X1) != host(X0)
| ~ leq(X1,X0)
| setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f229,plain,
! [X0,X1,X2] :
( index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1)
| ~ setIn(X1,alive)
| index(status,host(X0)) != elec_2
| ~ elem(m_Halt(X0),queue(host(X2)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(X1)) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f230,plain,
! [X0,X1,X2] :
( index(status,host(X2)) != norm
| index(ldr,host(X2)) != host(X2)
| ~ setIn(X2,alive)
| host(X1) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f231,plain,
queue(host(sK4_skl)) = cons(m_Halt(sK5_skl),sK6_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f233,plain,
host(sK4_skl) != host(sK7_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f234,plain,
host(sK5_skl) = host(sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f236,plain,
setIn(sK8_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f237,plain,
leq(nbr_proc,index(pendack,host(sK8_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f238,plain,
elem(m_Ack(sK8_skl,sK9_skl),snoc(queue(host(sK8_skl)),m_Ack(sK5_skl,sK4_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f239,plain,
index(status,host(sK8_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f240,plain,
host(sK9_skl) = index(pendack,host(sK8_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f241,plain,
setIn(sK7_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
index(ldr,host(sK7_skl)) = host(sK7_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
index(status,host(sK7_skl)) = norm,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f244,definition,
! [X0,X1] :
( sQ0_spl
<=> ( host(X1) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0,X1] :
( ~ sQ0_spl
| host(X1) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
! [X2] :
( sQ1_spl
<=> ( index(status,host(X2)) != norm
| index(ldr,host(X2)) != host(X2)
| ~ setIn(X2,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0] :
( ~ sQ1_spl
| index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f230,f244,f247]) ).
fof(f251,plain,
! [X0,X1] : elem(X0,cons(X0,X1)),
inference(destructive_equality_resolution,[status(thm)],[f141]) ).
fof(f279,plain,
! [X0] :
( ~ setIn(sK8_skl,alive)
| host(sK5_skl) != host(X0)
| ~ leq(sK8_skl,X0)
| setIn(X0,alive) ),
inference(paramodulation,[status(thm)],[f234,f219]) ).
fof(f282,definition,
( sQ4_spl
<=> setIn(sK8_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( sQ4_spl
| ~ setIn(sK8_skl,alive) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f288,definition,
( sQ6_spl
<=> setIn(sK5_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f296,definition,
! [X0] :
( sQ8_spl
<=> ( host(sK5_skl) != host(X0)
| ~ leq(sK8_skl,X0)
| setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f297,plain,
! [X0] :
( ~ sQ8_spl
| host(sK5_skl) != host(X0)
| ~ leq(sK8_skl,X0)
| setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f279,f296,f282]) ).
fof(f312,definition,
( sQ10_spl
<=> sK5_skl = sK8_skl ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ10_spl
| sK5_skl = sK8_skl ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f322,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f236]) ).
fof(f323,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f346,plain,
( ~ sQ10_spl
| index(status,host(sK5_skl)) = elec_2 ),
inference(forward_demodulation,[status(thm)],[f313,f239]) ).
fof(f472,plain,
( ~ sQ10_spl
| host(sK9_skl) = index(pendack,host(sK5_skl)) ),
inference(forward_demodulation,[status(thm)],[f313,f240]) ).
fof(f528,definition,
( sQ20_spl
<=> leq(host(sK9_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ20_spl
| ~ leq(host(sK9_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ21_spl
<=> host(sK9_skl) = nbr_proc ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ21_spl
| host(sK9_skl) = nbr_proc ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f542,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f76]) ).
fof(f543,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f558,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| nbr_proc = index(pendack,host(sK5_skl)) ),
inference(backward_demodulation,[status(thm)],[f532,f472]) ).
fof(f682,definition,
( sQ42_spl
<=> index(status,host(sK5_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( sQ42_spl
| index(status,host(sK5_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f698,plain,
( sQ42_spl
| ~ sQ10_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f346,f684]) ).
fof(f699,plain,
( sQ42_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f698]) ).
fof(f700,plain,
( sQ42_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f741,definition,
! [X1] :
( sQ47_spl
<=> ~ elem(m_Halt(sK5_skl),queue(host(X1))) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f742,plain,
! [X0] :
( ~ sQ47_spl
| ~ elem(m_Halt(sK5_skl),queue(host(X0))) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f778,plain,
elem(m_Halt(sK5_skl),queue(host(sK4_skl))),
inference(paramodulation,[status(thm)],[f231,f251]) ).
fof(f803,plain,
( ~ sQ10_spl
| elem(m_Ack(sK5_skl,sK9_skl),snoc(queue(host(sK8_skl)),m_Ack(sK5_skl,sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f313,f238]) ).
fof(f804,plain,
( ~ sQ10_spl
| elem(m_Ack(sK5_skl,sK9_skl),snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f313,f803]) ).
fof(f805,plain,
( ~ sQ10_spl
| elem(m_Ack(sK5_skl,sK9_skl),queue(host(sK5_skl)))
| m_Ack(sK5_skl,sK9_skl) = m_Ack(sK5_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f804,f145]) ).
fof(f806,definition,
( sQ58_spl
<=> m_Ack(sK5_skl,sK9_skl) = m_Ack(sK5_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ58_spl
| m_Ack(sK5_skl,sK9_skl) = m_Ack(sK5_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ59_spl
<=> elem(m_Ack(sK5_skl,sK9_skl),queue(host(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ59_spl
| elem(m_Ack(sK5_skl,sK9_skl),queue(host(sK5_skl))) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( ~ sQ10_spl
| sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f805,f806,f809,f312]) ).
fof(f864,plain,
( ~ sQ1_spl
| index(status,host(sK7_skl)) != norm
| ~ setIn(sK7_skl,alive) ),
inference(resolution,[status(thm)],[f248,f242]) ).
fof(f867,definition,
( sQ66_spl
<=> setIn(sK7_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( sQ66_spl
| ~ setIn(sK7_skl,alive) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ67_spl
<=> index(status,host(sK7_skl)) = norm ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( sQ67_spl
| index(status,host(sK7_skl)) != norm ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( ~ sQ1_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f864,f867,f870,f247]) ).
fof(f883,plain,
( sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f241]) ).
fof(f884,plain,
sQ66_spl,
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( sQ67_spl
| norm != norm ),
inference(forward_demodulation,[status(thm)],[f243,f872]) ).
fof(f887,plain,
( sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f886]) ).
fof(f888,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f887]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ10_spl
| host(sK5_skl) != host(X0)
| ~ leq(sK5_skl,X0)
| setIn(X0,alive) ),
inference(forward_demodulation,[status(thm)],[f313,f297]) ).
fof(f1268,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ leq(sK5_skl,sK5_skl)
| setIn(sK5_skl,alive) ),
inference(equality_resolution,[status(thm)],[f1266]) ).
fof(f1276,definition,
( sQ75_spl
<=> leq(sK5_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( sQ75_spl
| ~ leq(sK5_skl,sK5_skl) ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1279,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ75_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1268,f288,f1276,f312,f296]) ).
fof(f1801,plain,
( ~ sQ58_spl
| sK9_skl = sK4_skl ),
inference(resolution,[status(thm)],[f807,f123]) ).
fof(f1849,definition,
( sQ103_spl
<=> leq(nbr_proc,index(pendack,host(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1851,plain,
( sQ103_spl
| ~ leq(nbr_proc,index(pendack,host(sK5_skl))) ),
inference(component_clause,[status(thm)],[f1849]) ).
fof(f1852,definition,
( sQ104_spl
<=> host(sK9_skl) = index(pendack,host(sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
( sQ104_spl
| host(sK9_skl) != index(pendack,host(sK5_skl)) ),
inference(component_clause,[status(thm)],[f1852]) ).
fof(f1858,plain,
( ~ sQ21_spl
| ~ sQ58_spl
| host(sK4_skl) = nbr_proc ),
inference(backward_demodulation,[status(thm)],[f1801,f532]) ).
fof(f3462,plain,
( ~ sQ47_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f778,f742]) ).
fof(f3464,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f3462]) ).
fof(f4959,plain,
( ~ sQ0_spl
| ~ sQ59_spl
| host(sK9_skl) != index(pendack,host(sK5_skl))
| index(status,host(sK5_skl)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(sK5_skl)))
| ~ setIn(sK5_skl,alive) ),
inference(resolution,[status(thm)],[f810,f245]) ).
fof(f4970,plain,
( ~ sQ0_spl
| ~ sQ59_spl
| ~ sQ104_spl
| ~ sQ42_spl
| ~ sQ103_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4959,f288,f1849,f682,f1852,f809,f244]) ).
fof(f4980,plain,
( sQ104_spl
| ~ sQ21_spl
| nbr_proc != index(pendack,host(sK5_skl)) ),
inference(forward_demodulation,[status(thm)],[f532,f1854]) ).
fof(f4981,plain,
( sQ104_spl
| ~ sQ21_spl
| ~ sQ10_spl
| nbr_proc != nbr_proc ),
inference(forward_demodulation,[status(thm)],[f558,f4980]) ).
fof(f4982,plain,
( sQ104_spl
| ~ sQ21_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4981]) ).
fof(f4983,plain,
( sQ104_spl
| ~ sQ21_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4982]) ).
fof(f5015,plain,
( ~ sQ21_spl
| ~ sQ58_spl
| nbr_proc != host(sK7_skl) ),
inference(backward_demodulation,[status(thm)],[f1858,f233]) ).
fof(f5675,definition,
( sQ286_spl
<=> leq(nbr_proc,host(sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f5676,plain,
( ~ sQ286_spl
| leq(nbr_proc,host(sK7_skl)) ),
inference(component_clause,[status(thm)],[f5675]) ).
fof(f5696,plain,
( ~ sQ286_spl
| host(sK7_skl) = nbr_proc
| ~ leq(host(sK7_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f5676,f196]) ).
fof(f5700,definition,
( sQ290_spl
<=> nbr_proc = host(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f5701,plain,
( ~ sQ290_spl
| nbr_proc = host(sK7_skl) ),
inference(component_clause,[status(thm)],[f5700]) ).
fof(f5704,definition,
( sQ291_spl
<=> leq(host(sK7_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f5706,plain,
( sQ291_spl
| ~ leq(host(sK7_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f5704]) ).
fof(f5707,plain,
( ~ sQ286_spl
| sQ290_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f5696,f5704,f5700,f5675]) ).
fof(f5708,plain,
( ~ sQ290_spl
| ~ sQ21_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5701,f5015]) ).
fof(f5709,plain,
( ~ sQ290_spl
| ~ sQ21_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f5708]) ).
fof(f5710,plain,
( sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5706,f76]) ).
fof(f5711,plain,
sQ291_spl,
inference(contradiction_clause,[status(thm)],[f5710]) ).
fof(f5726,plain,
( sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1278,f192]) ).
fof(f5727,plain,
sQ75_spl,
inference(contradiction_clause,[status(thm)],[f5726]) ).
fof(f5788,definition,
( sQ296_spl
<=> index(status,host(sK8_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f5790,plain,
( sQ296_spl
| index(status,host(sK8_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f5788]) ).
fof(f5811,definition,
! [X0] :
( sQ302_spl
<=> ( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive)
| leq(host(sK9_skl),host(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f5812,plain,
! [X0] :
( ~ sQ302_spl
| index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive)
| leq(host(sK9_skl),host(X0)) ),
inference(component_clause,[status(thm)],[f5811]) ).
fof(f5829,plain,
leq(nbr_proc,host(sK9_skl)),
inference(forward_demodulation,[status(thm)],[f240,f237]) ).
fof(f5839,plain,
( host(sK9_skl) = nbr_proc
| ~ leq(host(sK9_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f5829,f196]) ).
fof(f5844,plain,
( sQ21_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f5839,f528,f531]) ).
fof(f5845,plain,
index(status,host(sK5_skl)) = elec_2,
inference(backward_demodulation,[status(thm)],[f234,f239]) ).
fof(f5846,plain,
host(sK9_skl) = index(pendack,host(sK5_skl)),
inference(backward_demodulation,[status(thm)],[f234,f240]) ).
fof(f5869,plain,
! [X0] :
( ~ sQ0_spl
| host(X0) != index(pendack,host(sK8_skl))
| index(status,host(sK8_skl)) != elec_2
| ~ leq(nbr_proc,index(pendack,host(sK8_skl)))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK5_skl)))
| ~ setIn(sK8_skl,alive) ),
inference(paramodulation,[status(thm)],[f234,f245]) ).
fof(f5945,definition,
! [X0] :
( sQ317_spl
<=> ( host(X0) != index(pendack,host(sK8_skl))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f5946,plain,
! [X0] :
( ~ sQ317_spl
| host(X0) != index(pendack,host(sK8_skl))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK5_skl))) ),
inference(component_clause,[status(thm)],[f5945]) ).
fof(f5948,definition,
( sQ318_spl
<=> leq(nbr_proc,index(pendack,host(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f5950,plain,
( sQ318_spl
| ~ leq(nbr_proc,index(pendack,host(sK8_skl))) ),
inference(component_clause,[status(thm)],[f5948]) ).
fof(f5951,plain,
( ~ sQ0_spl
| ~ sQ296_spl
| ~ sQ318_spl
| sQ317_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5869,f282,f5945,f5948,f5788,f244]) ).
fof(f6013,plain,
( sQ318_spl
| ~ leq(nbr_proc,index(pendack,host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f234,f5950]) ).
fof(f6014,plain,
! [X0] :
( ~ sQ317_spl
| host(X0) != index(pendack,host(sK5_skl))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f234,f5946]) ).
fof(f6030,plain,
elem(m_Ack(sK8_skl,sK9_skl),snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK4_skl))),
inference(forward_demodulation,[status(thm)],[f234,f238]) ).
fof(f6031,plain,
( elem(m_Ack(sK8_skl,sK9_skl),queue(host(sK5_skl)))
| m_Ack(sK8_skl,sK9_skl) = m_Ack(sK5_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f6030,f145]) ).
fof(f6032,definition,
( sQ329_spl
<=> m_Ack(sK8_skl,sK9_skl) = m_Ack(sK5_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f6033,plain,
( ~ sQ329_spl
| m_Ack(sK8_skl,sK9_skl) = m_Ack(sK5_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f6032]) ).
fof(f6035,definition,
( sQ330_spl
<=> elem(m_Ack(sK8_skl,sK9_skl),queue(host(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f6036,plain,
( ~ sQ330_spl
| elem(m_Ack(sK8_skl,sK9_skl),queue(host(sK5_skl))) ),
inference(component_clause,[status(thm)],[f6035]) ).
fof(f6038,plain,
( sQ330_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f6031,f6032,f6035]) ).
fof(f6052,plain,
! [X0,X1] :
( index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive)
| index(status,host(sK5_skl)) != elec_2
| ~ elem(m_Halt(sK5_skl),queue(host(X1)))
| ~ setIn(sK5_skl,alive)
| leq(host(sK9_skl),host(X0)) ),
inference(paramodulation,[status(thm)],[f5846,f229]) ).
fof(f6077,plain,
( ~ sQ42_spl
| sQ47_spl
| ~ sQ6_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f6052,f5811,f288,f741,f682]) ).
fof(f6106,plain,
( ~ sQ21_spl
| nbr_proc = index(pendack,host(sK5_skl)) ),
inference(backward_demodulation,[status(thm)],[f532,f5846]) ).
fof(f7994,plain,
! [X0] :
( ~ sQ302_spl
| ~ sQ21_spl
| index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive)
| leq(nbr_proc,host(X0)) ),
inference(forward_demodulation,[status(thm)],[f532,f5812]) ).
fof(f7995,plain,
( ~ sQ302_spl
| ~ sQ21_spl
| index(status,host(sK7_skl)) != norm
| ~ setIn(sK7_skl,alive)
| leq(nbr_proc,host(sK7_skl)) ),
inference(resolution,[status(thm)],[f7994,f242]) ).
fof(f7999,plain,
( ~ sQ302_spl
| ~ sQ21_spl
| ~ sQ67_spl
| ~ sQ66_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f7995,f5675,f867,f870,f531,f5811]) ).
fof(f8074,plain,
( sQ296_spl
| index(status,host(sK5_skl)) != elec_2 ),
inference(forward_demodulation,[status(thm)],[f234,f5790]) ).
fof(f8075,plain,
( sQ296_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f5845,f8074]) ).
fof(f8076,plain,
( sQ296_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8075]) ).
fof(f8077,plain,
sQ296_spl,
inference(contradiction_clause,[status(thm)],[f8076]) ).
fof(f8091,plain,
! [X0] :
( ~ sQ317_spl
| ~ sQ21_spl
| host(X0) != nbr_proc
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f6106,f6014]) ).
fof(f8093,plain,
( sQ103_spl
| ~ sQ21_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f6106,f1851]) ).
fof(f8094,plain,
( sQ103_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8093,f192]) ).
fof(f8095,plain,
( sQ103_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f8094]) ).
fof(f8218,plain,
( ~ sQ329_spl
| sK8_skl = sK5_skl ),
inference(resolution,[status(thm)],[f6033,f120]) ).
fof(f8242,plain,
( ~ sQ329_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f8218,f312,f6032]) ).
fof(f8268,plain,
( sQ318_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f6013,f1849,f5948]) ).
fof(f9348,definition,
! [X0] :
( sQ457_spl
<=> host(X0) = host(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f9349,plain,
! [X0] :
( ~ sQ457_spl
| host(X0) = host(sK5_skl) ),
inference(component_clause,[status(thm)],[f9348]) ).
fof(f9411,plain,
( ~ sQ457_spl
| host(sK4_skl) != host(sK5_skl) ),
inference(backward_demodulation,[status(thm)],[f9349,f233]) ).
fof(f9543,plain,
( ~ sQ457_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9411,f9349]) ).
fof(f9544,plain,
~ sQ457_spl,
inference(contradiction_clause,[status(thm)],[f9543]) ).
fof(f9856,plain,
( ~ sQ317_spl
| ~ sQ21_spl
| ~ sQ330_spl
| host(sK9_skl) != nbr_proc ),
inference(resolution,[status(thm)],[f6036,f8091]) ).
fof(f9858,plain,
( ~ sQ317_spl
| ~ sQ330_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f9856,f531,f6035,f5945]) ).
fof(f9861,plain,
$false,
inference(sat_refutation,[status(thm)],[f250,f299,f323,f543,f700,f812,f873,f884,f888,f1279,f3464,f4970,f4983,f5707,f5709,f5711,f5727,f5844,f5951,f6038,f6077,f7999,f8077,f8095,f8242,f8268,f9544,f9858]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:55:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 14.20/2.25 % Refutation found
% 14.20/2.25 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.20/2.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.20/2.28 % Elapsed time: 1.898738 seconds
% 14.20/2.28 % CPU time: 14.774876 seconds
% 14.20/2.28 % Total memory used: 218.212 MB
% 14.20/2.28 % Net memory used: 197.731 MB
%------------------------------------------------------------------------------