%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 131.99s 17.26s
% Output : CNFRefutation 131.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 49
% Syntax : Number of formulae : 258 ( 50 unt; 37 def)
% Number of atoms : 1073 ( 368 equ)
% Maximal formula atoms : 88 ( 4 avg)
% Number of connectives : 1392 ( 577 ~; 485 |; 242 &)
% ( 42 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 42 ( 40 usr; 38 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 19 con; 0-3 aty)
% Number of variables : 382 ( 366 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [P] : leq(host(P),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_Down(Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X1,X2,Y1,Y2] :
( X1 != X2
=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X1,X2,Y1,Y2] :
( Y1 != Y2
=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [Y,Q] : last(snoc(Q,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [Y,Q] : q_nil != snoc(Q,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X,Y,Q] :
( elem(X,cons(Y,Q))
<=> ( elem(X,Q)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,Y,Q] :
( elem(X,snoc(Q,Y))
<=> ( elem(X,Q)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [X,Y] :
( leq(X,Y)
<=> leq(s(X),s(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [X,Y] :
( leq(X,s(Y))
<=> ( leq(X,Y)
| X = s(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,conjecture,
! [V,W,X] :
( ( queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid20,Pid0] :
( ( host(Pid20) = s(index(pendack,host(Pid0)))
& host(Z) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Pid0))))
& elem(m_Down(Pid20),queue(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,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid0) = nbr_proc
& host(Pid0) = host(Z)
& 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(Z),queue(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] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Y)) = elec_2
& host(Pid0) = host(Z)
& setIn(Pid0,alive)
& setIn(Y,alive) )
=> ~ elem(m_Ack(Y,Z),queue(host(Y))) )
& ! [Y,Z,Pid0] :
( ( host(Z) = host(Y)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( 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(Z)),host(Y)) )
& ! [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] :
( ( 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,Pid0] :
( elem(m_Ack(Pid0,Y),queue(host(Z)))
=> ~ leq(host(Y),host(Pid0)) )
& ! [Y,Z] :
( elem(m_Halt(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) )
& ! [Y,Z] :
( elem(m_Down(Z),queue(host(Y)))
=> host(Z) != host(Y) )
& ! [Y,Z] :
( elem(m_Ldr(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) ) )
=> ( setIn(W,alive)
=> ! [Y] :
( host(W) != host(Y)
=> ! [Z,X0,Y0] :
( host(X) = host(Y0)
=> ( host(W) != host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ ! [V,W,X] :
( ( queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid20,Pid0] :
( ( host(Pid20) = s(index(pendack,host(Pid0)))
& host(Z) = index(pendack,host(Pid0))
& index(status,host(Pid0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Pid0))))
& elem(m_Down(Pid20),queue(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,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_1
& host(Pid0) = nbr_proc
& host(Pid0) = host(Z)
& 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(Z),queue(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] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Y)) = elec_2
& host(Pid0) = host(Z)
& setIn(Pid0,alive)
& setIn(Y,alive) )
=> ~ elem(m_Ack(Y,Z),queue(host(Y))) )
& ! [Y,Z,Pid0] :
( ( host(Z) = host(Y)
& elem(m_Down(Z),queue(host(Pid0)))
& setIn(Pid0,alive) )
=> ~ ( 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(Z)),host(Y)) )
& ! [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] :
( ( 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,Pid0] :
( elem(m_Ack(Pid0,Y),queue(host(Z)))
=> ~ leq(host(Y),host(Pid0)) )
& ! [Y,Z] :
( elem(m_Halt(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) )
& ! [Y,Z] :
( elem(m_Down(Z),queue(host(Y)))
=> host(Z) != host(Y) )
& ! [Y,Z] :
( elem(m_Ldr(Z),queue(host(Y)))
=> ~ leq(host(Y),host(Z)) ) )
=> ( setIn(W,alive)
=> ! [Y] :
( host(W) != host(Y)
=> ! [Z,X0,Y0] :
( host(X) = host(Y0)
=> ( host(W) != host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,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(f84,plain,
! [X0,X1,X2] : m_Down(X0) != m_Ack(X1,X2),
inference(cnf_transformation,[status(thm)],[f13]) ).
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] :
( X2 = X0
| m_Ack(X0,X1) != m_Ack(X2,X3) ),
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(f129,plain,
! [X0,X1] : X0 = last(snoc(X1,X0)),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f134,plain,
! [X0,X1] : q_nil != snoc(X0,X1),
inference(cnf_transformation,[status(thm)],[f43]) ).
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,snoc(X1,X2))
| X0 = X2
| elem(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
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] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f198,plain,
! [X0,X1] :
( X1 != X0
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f202,plain,
! [X,Y] :
( ( ~ leq(s(X),s(Y))
| leq(X,Y) )
& ( leq(s(X),s(Y))
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f64]) ).
fof(f203,plain,
( ! [X,Y] :
( ~ leq(s(X),s(Y))
| leq(X,Y) )
& ! [X,Y] :
( leq(s(X),s(Y))
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(s(X0),s(X1)) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
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)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f212,plain,
? [V,W,X] :
( ? [Y] :
( ? [Z,X0,Y0] :
( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive)
& host(W) != host(Y0)
& host(X) = host(Y0) )
& host(W) != host(Y) )
& setIn(W,alive)
& queue(host(W)) = cons(m_Halt(X),V)
& ! [Y,Z,Pid20,Pid0] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| host(Pid20) != s(index(pendack,host(Pid0)))
| host(Z) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Y,Z,Pid20,Pid0] :
( ~ elem(m_Down(Z),queue(host(Y)))
| ~ setIn(Y,alive)
| index(status,host(Pid0)) != elec_1
| host(Pid0) != nbr_proc
| host(Pid0) != host(Z)
| ~ 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) ) )
& ! [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] :
( ~ elem(m_Ack(Y,Z),queue(host(Y)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Y)) != elec_2
| host(Pid0) != host(Z)
| ~ setIn(Pid0,alive)
| ~ setIn(Y,alive) )
& ! [Y,Z,Pid0] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| host(Z) != host(Y)
| ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) )
& ! [Y,Z] :
( leq(index(pendack,host(Z)),host(Y))
| index(status,host(Z)) != elec_2
| index(status,host(Y)) != elec_2
| ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| leq(host(Y),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] :
( 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,Pid0] :
( ~ leq(host(Y),host(Pid0))
| ~ elem(m_Ack(Pid0,Y),queue(host(Z))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Halt(Z),queue(host(Y))) )
& ! [Y,Z] :
( host(Z) != host(Y)
| ~ elem(m_Down(Z),queue(host(Y))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Ldr(Z),queue(host(Y))) ) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f213,plain,
? [W,X] :
( ? [Y] :
( ? [Y0] :
( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& ? [X0] :
( host(X0) = s(index(pendack,host(Y0)))
& ? [Z] :
( host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))
& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))
& leq(nbr_proc,s(index(pendack,host(Y0))))
& setIn(Y0,alive) ) )
& host(W) != host(Y0)
& host(X) = host(Y0) )
& 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) )
| ! [Pid20,Pid0] :
( host(Pid20) != s(index(pendack,host(Pid0)))
| ! [Z] :
( host(Z) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) ) )
& ! [Z] :
( ! [Y] :
( ~ elem(m_Down(Z),queue(host(Y)))
| ~ setIn(Y,alive) )
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| host(Pid0) != nbr_proc
| host(Pid0) != host(Z)
| ! [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) ) ) ) )
& ! [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)) )
& ! [Y,Z] :
( ~ elem(m_Ack(Y,Z),queue(host(Y)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| index(status,host(Y)) != elec_2
| host(Pid0) != host(Z)
| ~ setIn(Pid0,alive)
| ~ setIn(Y,alive) ) )
& ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| ! [Z] :
( host(Z) != host(Y)
| ! [Pid0] :
( ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) ) )
& ! [Y,Z] :
( leq(index(pendack,host(Z)),host(Y))
| index(status,host(Z)) != elec_2
| index(status,host(Y)) != elec_2
| ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| leq(host(Y),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) )
& ! [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,Pid0] :
( ~ leq(host(Y),host(Pid0))
| ! [Z] : ~ elem(m_Ack(Pid0,Y),queue(host(Z))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Halt(Z),queue(host(Y))) )
& ! [Y,Z] :
( host(Z) != host(Y)
| ~ elem(m_Down(Z),queue(host(Y))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Ldr(Z),queue(host(Y))) ) ),
inference(miniscoping,[status(thm)],[f212]) ).
fof(f214,plain,
( index(status,host(sK8_skl)) = norm
& index(ldr,host(sK8_skl)) = host(sK8_skl)
& setIn(sK8_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_Ack(sK5_skl,sK4_skl)))
& elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl)))
& leq(nbr_proc,s(index(pendack,host(sK9_skl))))
& setIn(sK9_skl,alive)
& host(sK4_skl) != host(sK9_skl)
& host(sK5_skl) = host(sK9_skl)
& host(sK4_skl) != host(sK8_skl)
& setIn(sK4_skl,alive)
& queue(host(sK4_skl)) = cons(m_Halt(sK5_skl),sK7_skl)
& ( ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive) )
| ! [Pid20,Pid0] :
( host(Pid20) != s(index(pendack,host(Pid0)))
| ! [Z] :
( host(Z) != index(pendack,host(Pid0))
| index(status,host(Pid0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(Pid0))))
| ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) ) )
& ! [Z] :
( ! [Y] :
( ~ elem(m_Down(Z),queue(host(Y)))
| ~ setIn(Y,alive) )
| ! [Pid0] :
( index(status,host(Pid0)) != elec_1
| host(Pid0) != nbr_proc
| host(Pid0) != host(Z)
| ! [Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Pid0)))
| ( sK6_skl(Pid20,Pid0,Z) != host(Pid20)
& ~ setIn(sK6_skl(Pid20,Pid0,Z),index(down,host(Pid0)))
& leq(s(zero),sK6_skl(Pid20,Pid0,Z))
& ~ leq(host(Pid0),sK6_skl(Pid20,Pid0,Z)) ) ) ) )
& ! [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)) )
& ! [Y,Z] :
( ~ elem(m_Ack(Y,Z),queue(host(Y)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| index(status,host(Y)) != elec_2
| host(Pid0) != host(Z)
| ~ setIn(Pid0,alive)
| ~ setIn(Y,alive) ) )
& ! [Y] :
( index(status,host(Y)) != norm
| index(ldr,host(Y)) != host(Y)
| ~ setIn(Y,alive)
| ! [Z] :
( host(Z) != host(Y)
| ! [Pid0] :
( ~ elem(m_Down(Z),queue(host(Pid0)))
| ~ setIn(Pid0,alive) ) ) )
& ! [Y,Z] :
( leq(index(pendack,host(Z)),host(Y))
| index(status,host(Z)) != elec_2
| index(status,host(Y)) != elec_2
| ~ setIn(Z,alive)
| ~ setIn(Y,alive)
| leq(host(Y),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) )
& ! [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,Pid0] :
( ~ leq(host(Y),host(Pid0))
| ! [Z] : ~ elem(m_Ack(Pid0,Y),queue(host(Z))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Halt(Z),queue(host(Y))) )
& ! [Y,Z] :
( host(Z) != host(Y)
| ~ elem(m_Down(Z),queue(host(Y))) )
& ! [Y,Z] :
( ~ leq(host(Y),host(Z))
| ~ elem(m_Ldr(Z),queue(host(Y))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(W,sK4_skl),skolemize(X,sK5_skl),skolemize(V0,sK6_skl(Pid20,Pid0,Z)),skolemize(V,sK7_skl),skolemize(Y,sK8_skl),skolemize(Y0,sK9_skl),skolemize(X0,sK10_skl),skolemize(Z,sK11_skl)],[f213]) ).
fof(f219,plain,
! [X0,X1] :
( X0 = X1
| host(X1) != host(X0)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f225,plain,
! [X0,X1,X2] :
( index(status,host(X1)) != norm
| host(X1) != host(X2)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| index(ldr,host(X1)) != host(X1)
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f228,plain,
! [X0,X1,X2] :
( leq(index(pendack,host(X0)),host(X1))
| index(status,host(X1)) != norm
| host(X1) != index(ldr,host(X1))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X2)))
| ~ setIn(X1,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(X2) != s(index(pendack,host(X0)))
| host(X1) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f234,plain,
queue(host(sK4_skl)) = cons(m_Halt(sK5_skl),sK7_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f235,plain,
setIn(sK4_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f236,plain,
host(sK8_skl) != host(sK4_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f237,plain,
host(sK5_skl) = host(sK9_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f239,plain,
setIn(sK9_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f240,plain,
leq(nbr_proc,s(index(pendack,host(sK9_skl)))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f241,plain,
elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
elec_2 = index(status,host(sK9_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f244,plain,
index(pendack,host(sK9_skl)) = host(sK11_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f245,plain,
s(index(pendack,host(sK9_skl))) = host(sK10_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f246,plain,
setIn(sK8_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f247,plain,
host(sK8_skl) = index(ldr,host(sK8_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f248,plain,
index(status,host(sK8_skl)) = norm,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f249,definition,
! [X0,X1,X2] :
( sQ0_spl
<=> ( host(X2) != s(index(pendack,host(X0)))
| host(X1) != index(pendack,host(X0))
| index(status,host(X0)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| s(index(pendack,host(X0))) != host(X2)
| ~ leq(nbr_proc,s(index(pendack,host(X0))))
| index(status,host(X0)) != elec_2
| ~ setIn(X0,alive)
| host(X1) != index(pendack,host(X0))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,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(f253,plain,
! [X0] :
( ~ sQ1_spl
| ~ setIn(X0,alive)
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0)) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f233,f249,f252]) ).
fof(f256,plain,
! [X0,X1] : elem(X0,cons(X0,X1)),
inference(destructive_equality_resolution,[status(thm)],[f141]) ).
fof(f257,plain,
! [X0] : leq(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f198]) ).
fof(f283,plain,
elem(m_Halt(sK5_skl),queue(host(sK4_skl))),
inference(paramodulation,[status(thm)],[f234,f256]) ).
fof(f287,plain,
s(host(sK11_skl)) = host(sK10_skl),
inference(backward_demodulation,[status(thm)],[f244,f245]) ).
fof(f290,definition,
( sQ4_spl
<=> setIn(sK9_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( sQ4_spl
| ~ setIn(sK9_skl,alive) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ5_spl
<=> index(status,host(sK9_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ5_spl
| elec_2 != index(status,host(sK9_skl)) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f321,plain,
! [X0] :
( ~ setIn(X0,alive)
| sK4_skl = X0
| host(sK4_skl) != host(X0) ),
inference(resolution,[status(thm)],[f235,f219]) ).
fof(f332,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f239]) ).
fof(f333,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f332]) ).
fof(f353,plain,
host(sK11_skl) = index(pendack,host(sK5_skl)),
inference(backward_demodulation,[status(thm)],[f237,f244]) ).
fof(f423,plain,
index(status,host(sK5_skl)) = elec_2,
inference(forward_demodulation,[status(thm)],[f237,f243]) ).
fof(f530,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| index(ldr,host(sK8_skl)) != host(sK8_skl)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(sK8_skl) != host(X0)
| norm != index(status,host(sK8_skl)) ),
inference(resolution,[status(thm)],[f225,f246]) ).
fof(f551,definition,
( sQ30_spl
<=> norm = index(status,host(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ30_spl
| norm != index(status,host(sK8_skl)) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
! [X0,X1] :
( sQ31_spl
<=> ( ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(sK8_skl) != host(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f555,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK8_skl)
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ32_spl
<=> index(ldr,host(sK8_skl)) = host(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( sQ32_spl
| index(ldr,host(sK8_skl)) != host(sK8_skl) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( ~ sQ32_spl
| sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f530,f551,f554,f557]) ).
fof(f561,plain,
( sQ30_spl
| norm != norm ),
inference(forward_demodulation,[status(thm)],[f248,f553]) ).
fof(f562,plain,
( sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f561]) ).
fof(f563,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f569,plain,
( sQ32_spl
| host(sK8_skl) != host(sK8_skl) ),
inference(forward_demodulation,[status(thm)],[f247,f559]) ).
fof(f570,plain,
( sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f569]) ).
fof(f571,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
elem(m_Down(sK10_skl),snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK4_skl))),
inference(forward_demodulation,[status(thm)],[f237,f241]) ).
fof(f644,plain,
( m_Down(sK10_skl) = m_Ack(sK5_skl,sK4_skl)
| elem(m_Down(sK10_skl),queue(host(sK5_skl))) ),
inference(resolution,[status(thm)],[f145,f572]) ).
fof(f652,definition,
( sQ41_spl
<=> elem(m_Down(sK10_skl),queue(host(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ41_spl
| elem(m_Down(sK10_skl),queue(host(sK5_skl))) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ42_spl
<=> m_Down(sK10_skl) = m_Ack(sK5_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ42_spl
| m_Down(sK10_skl) = m_Ack(sK5_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f644,f652,f655]) ).
fof(f661,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f84]) ).
fof(f662,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f681,plain,
elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK4_skl))),
inference(forward_demodulation,[status(thm)],[f237,f242]) ).
fof(f682,plain,
( m_Ack(sK9_skl,sK11_skl) = m_Ack(sK5_skl,sK4_skl)
| elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK5_skl))) ),
inference(resolution,[status(thm)],[f681,f145]) ).
fof(f693,definition,
( sQ47_spl
<=> elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ47_spl
| elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK5_skl))) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ48_spl
<=> m_Ack(sK9_skl,sK11_skl) = m_Ack(sK5_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ48_spl
| m_Ack(sK9_skl,sK11_skl) = m_Ack(sK5_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f682,f693,f696]) ).
fof(f700,plain,
leq(nbr_proc,s(index(pendack,host(sK5_skl)))),
inference(forward_demodulation,[status(thm)],[f237,f240]) ).
fof(f833,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ elem(m_Ack(sK9_skl,X1),queue(host(sK9_skl)))
| index(pendack,host(sK9_skl)) != host(X1)
| index(status,host(sK9_skl)) != elec_2
| ~ elem(m_Down(X0),queue(host(sK9_skl)))
| host(X0) != s(index(pendack,host(sK9_skl)))
| ~ setIn(sK9_skl,alive)
| ~ leq(nbr_proc,s(index(pendack,host(sK5_skl)))) ),
inference(paramodulation,[status(thm)],[f237,f250]) ).
fof(f834,definition,
( sQ60_spl
<=> leq(nbr_proc,s(index(pendack,host(sK5_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ60_spl
| ~ leq(nbr_proc,s(index(pendack,host(sK5_skl)))) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
! [X0] :
( sQ61_spl
<=> ( ~ elem(m_Down(X0),queue(host(sK9_skl)))
| host(X0) != s(index(pendack,host(sK9_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f838,plain,
! [X0] :
( ~ sQ61_spl
| ~ elem(m_Down(X0),queue(host(sK9_skl)))
| host(X0) != s(index(pendack,host(sK9_skl))) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
! [X1] :
( sQ62_spl
<=> ( ~ elem(m_Ack(sK9_skl,X1),queue(host(sK9_skl)))
| index(pendack,host(sK9_skl)) != host(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f841,plain,
! [X0] :
( ~ sQ62_spl
| ~ elem(m_Ack(sK9_skl,X0),queue(host(sK9_skl)))
| index(pendack,host(sK9_skl)) != host(X0) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( ~ sQ0_spl
| sQ62_spl
| ~ sQ5_spl
| sQ61_spl
| ~ sQ4_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f833,f834,f290,f837,f293,f840,f249]) ).
fof(f844,plain,
! [X0] :
( ~ sQ61_spl
| ~ elem(m_Down(X0),queue(host(sK9_skl)))
| host(X0) != s(index(pendack,host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f237,f838]) ).
fof(f845,plain,
! [X0] :
( ~ sQ61_spl
| host(X0) != s(index(pendack,host(sK5_skl)))
| ~ elem(m_Down(X0),queue(host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f237,f844]) ).
fof(f846,plain,
! [X0] :
( ~ sQ62_spl
| ~ elem(m_Ack(sK9_skl,X0),queue(host(sK9_skl)))
| index(pendack,host(sK5_skl)) != host(X0) ),
inference(forward_demodulation,[status(thm)],[f237,f841]) ).
fof(f847,plain,
! [X0] :
( ~ sQ62_spl
| index(pendack,host(sK5_skl)) != host(X0)
| ~ elem(m_Ack(sK9_skl,X0),queue(host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f237,f846]) ).
fof(f858,plain,
! [X0] :
( leq(X0,host(sK11_skl))
| ~ leq(s(X0),host(sK10_skl)) ),
inference(paramodulation,[status(thm)],[f287,f205]) ).
fof(f884,definition,
( sQ65_spl
<=> elec_2 = index(status,host(sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( sQ65_spl
| elec_2 != index(status,host(sK5_skl)) ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,definition,
( sQ66_spl
<=> setIn(sK5_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( sQ66_spl
| ~ setIn(sK5_skl,alive) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f895,plain,
( sQ65_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f423,f886]) ).
fof(f896,plain,
( sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f895]) ).
fof(f897,plain,
sQ65_spl,
inference(contradiction_clause,[status(thm)],[f896]) ).
fof(f911,plain,
leq(nbr_proc,s(host(sK11_skl))),
inference(forward_demodulation,[status(thm)],[f353,f700]) ).
fof(f912,plain,
leq(nbr_proc,host(sK10_skl)),
inference(forward_demodulation,[status(thm)],[f287,f911]) ).
fof(f913,plain,
( ~ leq(host(sK10_skl),nbr_proc)
| nbr_proc = host(sK10_skl) ),
inference(resolution,[status(thm)],[f912,f196]) ).
fof(f917,definition,
( sQ69_spl
<=> nbr_proc = host(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ69_spl
| host(sK10_skl) = nbr_proc ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,definition,
( sQ70_spl
<=> leq(host(sK10_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( sQ70_spl
| ~ leq(host(sK10_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( ~ sQ70_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f913,f917,f920]) ).
fof(f924,plain,
( sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f922,f76]) ).
fof(f925,plain,
sQ70_spl,
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f928,plain,
( ~ sQ1_spl
| norm != index(status,host(sK8_skl))
| host(sK8_skl) != index(ldr,host(sK8_skl)) ),
inference(resolution,[status(thm)],[f253,f246]) ).
fof(f930,plain,
( ~ sQ1_spl
| ~ sQ30_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f928,f557,f551,f252]) ).
fof(f934,plain,
( ~ sQ69_spl
| s(host(sK11_skl)) = nbr_proc ),
inference(backward_demodulation,[status(thm)],[f918,f287]) ).
fof(f1020,plain,
! [X0,X1] :
( leq(index(pendack,host(X0)),host(sK8_skl))
| index(status,host(sK8_skl)) != norm
| host(sK8_skl) != index(ldr,host(sK8_skl))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| index(status,host(X0)) != elec_2 ),
inference(resolution,[status(thm)],[f228,f246]) ).
fof(f1025,definition,
! [X0,X1] :
( sQ87_spl
<=> ( leq(index(pendack,host(X0)),host(sK8_skl))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| index(status,host(X0)) != elec_2 ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK8_skl)) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ30_spl
| ~ sQ32_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1020,f1025,f557,f551]) ).
fof(f1071,definition,
( sQ95_spl
<=> leq(nbr_proc,nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ95_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1213,definition,
( sQ114_spl
<=> sK4_skl = sK8_skl ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( ~ sQ114_spl
| sK8_skl = sK4_skl ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( sQ114_spl
| sK8_skl != sK4_skl ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1277,plain,
( ~ sQ114_spl
| host(sK8_skl) != host(sK8_skl) ),
inference(backward_demodulation,[status(thm)],[f1214,f236]) ).
fof(f1280,plain,
( ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1277]) ).
fof(f1281,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(f1603,plain,
( sQ5_spl
| elec_2 != index(status,host(sK5_skl)) ),
inference(forward_demodulation,[status(thm)],[f237,f295]) ).
fof(f1604,plain,
( sQ5_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f423,f1603]) ).
fof(f1605,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1604]) ).
fof(f1606,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1605]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ61_spl
| host(X0) != s(host(sK11_skl))
| ~ elem(m_Down(X0),queue(host(sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f353,f845]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ69_spl
| ~ elem(m_Down(X0),queue(host(sK5_skl)))
| nbr_proc != host(X0) ),
inference(forward_demodulation,[status(thm)],[f934,f1612]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ62_spl
| ~ elem(m_Ack(sK9_skl,X0),queue(host(sK5_skl)))
| host(sK11_skl) != host(X0) ),
inference(forward_demodulation,[status(thm)],[f353,f847]) ).
fof(f1723,plain,
( sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f257]) ).
fof(f1724,plain,
sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1738,plain,
( sQ60_spl
| ~ leq(nbr_proc,s(host(sK11_skl))) ),
inference(forward_demodulation,[status(thm)],[f353,f836]) ).
fof(f1739,plain,
( sQ60_spl
| ~ sQ69_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f934,f1738]) ).
fof(f1740,plain,
( sQ60_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1739,f257]) ).
fof(f1741,plain,
( sQ60_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f3066,plain,
( ~ sQ31_spl
| ~ sQ41_spl
| host(sK10_skl) != host(sK8_skl)
| ~ setIn(sK5_skl,alive) ),
inference(resolution,[status(thm)],[f653,f555]) ).
fof(f3074,definition,
( sQ209_spl
<=> host(sK10_skl) = host(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f3076,plain,
( sQ209_spl
| host(sK10_skl) != host(sK8_skl) ),
inference(component_clause,[status(thm)],[f3074]) ).
fof(f3077,plain,
( ~ sQ31_spl
| ~ sQ41_spl
| ~ sQ209_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f3066,f887,f3074,f652,f554]) ).
fof(f3105,plain,
( sQ209_spl
| ~ sQ69_spl
| host(sK8_skl) != nbr_proc ),
inference(forward_demodulation,[status(thm)],[f918,f3076]) ).
fof(f3989,plain,
! [X0] :
( ~ sQ69_spl
| ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK11_skl)) ),
inference(forward_demodulation,[status(thm)],[f918,f858]) ).
fof(f4229,plain,
( ~ sQ87_spl
| leq(index(pendack,host(sK5_skl)),host(sK8_skl))
| ~ setIn(sK5_skl,alive)
| index(status,host(sK5_skl)) != elec_2 ),
inference(resolution,[status(thm)],[f283,f1026]) ).
fof(f4237,definition,
( sQ288_spl
<=> leq(index(pendack,host(sK5_skl)),host(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f4238,plain,
( ~ sQ288_spl
| leq(index(pendack,host(sK5_skl)),host(sK8_skl)) ),
inference(component_clause,[status(thm)],[f4237]) ).
fof(f4240,plain,
( ~ sQ87_spl
| sQ288_spl
| ~ sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4229,f884,f887,f4237,f1025]) ).
fof(f4258,plain,
( ~ sQ288_spl
| leq(host(sK11_skl),host(sK8_skl)) ),
inference(forward_demodulation,[status(thm)],[f353,f4238]) ).
fof(f4979,definition,
( sQ357_spl
<=> leq(host(sK10_skl),host(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f4980,plain,
( ~ sQ357_spl
| leq(host(sK10_skl),host(sK8_skl)) ),
inference(component_clause,[status(thm)],[f4979]) ).
fof(f4981,plain,
( sQ357_spl
| ~ leq(host(sK10_skl),host(sK8_skl)) ),
inference(component_clause,[status(thm)],[f4979]) ).
fof(f4988,plain,
( ~ sQ357_spl
| ~ sQ69_spl
| leq(nbr_proc,host(sK8_skl)) ),
inference(forward_demodulation,[status(thm)],[f918,f4980]) ).
fof(f5263,plain,
( ~ sQ357_spl
| ~ sQ69_spl
| ~ leq(host(sK8_skl),nbr_proc)
| nbr_proc = host(sK8_skl) ),
inference(resolution,[status(thm)],[f4988,f196]) ).
fof(f5267,definition,
( sQ378_spl
<=> nbr_proc = host(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f5268,plain,
( ~ sQ378_spl
| host(sK8_skl) = nbr_proc ),
inference(component_clause,[status(thm)],[f5267]) ).
fof(f5270,definition,
( sQ379_spl
<=> leq(host(sK8_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f5272,plain,
( sQ379_spl
| ~ leq(host(sK8_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f5270]) ).
fof(f5273,plain,
( ~ sQ357_spl
| ~ sQ69_spl
| ~ sQ379_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f5263,f5267,f5270,f917,f4979]) ).
fof(f5274,plain,
( ~ sQ378_spl
| sQ209_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5268,f3105]) ).
fof(f5275,plain,
( ~ sQ378_spl
| sQ209_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f5274]) ).
fof(f5277,plain,
( sQ379_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5272,f76]) ).
fof(f5278,plain,
sQ379_spl,
inference(contradiction_clause,[status(thm)],[f5277]) ).
fof(f5287,plain,
( ~ sQ48_spl
| sK5_skl = sK9_skl ),
inference(resolution,[status(thm)],[f697,f120]) ).
fof(f5288,plain,
( ~ sQ48_spl
| sK4_skl = sK11_skl ),
inference(resolution,[status(thm)],[f697,f123]) ).
fof(f5323,definition,
( sQ384_spl
<=> host(sK11_skl) = host(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f5325,plain,
( sQ384_spl
| host(sK11_skl) != host(sK11_skl) ),
inference(component_clause,[status(thm)],[f5323]) ).
fof(f5328,definition,
( sQ385_spl
<=> index(pendack,host(sK9_skl)) = host(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f5330,plain,
( sQ385_spl
| index(pendack,host(sK9_skl)) != host(sK11_skl) ),
inference(component_clause,[status(thm)],[f5328]) ).
fof(f5340,plain,
( sQ384_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5325]) ).
fof(f5341,plain,
sQ384_spl,
inference(contradiction_clause,[status(thm)],[f5340]) ).
fof(f5343,plain,
( sQ385_spl
| index(pendack,host(sK5_skl)) != host(sK11_skl) ),
inference(forward_demodulation,[status(thm)],[f237,f5330]) ).
fof(f5344,plain,
( sQ385_spl
| host(sK11_skl) != host(sK11_skl) ),
inference(forward_demodulation,[status(thm)],[f353,f5343]) ).
fof(f5345,plain,
( sQ385_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5344]) ).
fof(f5346,plain,
sQ385_spl,
inference(contradiction_clause,[status(thm)],[f5345]) ).
fof(f5359,plain,
( ~ sQ48_spl
| setIn(sK5_skl,alive) ),
inference(backward_demodulation,[status(thm)],[f5287,f239]) ).
fof(f5360,plain,
( ~ sQ48_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5359,f889]) ).
fof(f5361,plain,
( ~ sQ48_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f5360]) ).
fof(f5531,plain,
( sQ357_spl
| ~ sQ69_spl
| ~ leq(nbr_proc,host(sK8_skl)) ),
inference(forward_demodulation,[status(thm)],[f918,f4981]) ).
fof(f6343,plain,
( ~ sQ288_spl
| ~ leq(host(sK8_skl),host(sK11_skl))
| host(sK11_skl) = host(sK8_skl) ),
inference(resolution,[status(thm)],[f4258,f196]) ).
fof(f6345,plain,
( ~ sQ288_spl
| leq(s(host(sK11_skl)),s(host(sK8_skl))) ),
inference(resolution,[status(thm)],[f4258,f204]) ).
fof(f6347,definition,
( sQ426_spl
<=> host(sK11_skl) = host(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f6350,definition,
( sQ427_spl
<=> leq(host(sK8_skl),host(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f6353,plain,
( ~ sQ288_spl
| ~ sQ427_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f6343,f6347,f6350,f4237]) ).
fof(f6354,plain,
( ~ sQ288_spl
| ~ sQ69_spl
| leq(nbr_proc,s(host(sK8_skl))) ),
inference(forward_demodulation,[status(thm)],[f934,f6345]) ).
fof(f7591,plain,
( ~ sQ61_spl
| ~ sQ69_spl
| ~ sQ41_spl
| nbr_proc != host(sK10_skl) ),
inference(resolution,[status(thm)],[f653,f1613]) ).
fof(f7607,plain,
( ~ sQ61_spl
| ~ sQ69_spl
| ~ sQ41_spl
| nbr_proc != nbr_proc ),
inference(forward_demodulation,[status(thm)],[f918,f7591]) ).
fof(f7608,plain,
( ~ sQ61_spl
| ~ sQ69_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7607]) ).
fof(f7609,plain,
( ~ sQ61_spl
| ~ sQ69_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f7608]) ).
fof(f12450,plain,
( ~ sQ62_spl
| ~ sQ47_spl
| host(sK11_skl) != host(sK11_skl) ),
inference(resolution,[status(thm)],[f694,f1722]) ).
fof(f12457,plain,
( ~ sQ62_spl
| ~ sQ47_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f12450,f5323,f693,f840]) ).
fof(f12507,definition,
( sQ594_spl
<=> host(sK5_skl) = host(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f12509,plain,
( sQ594_spl
| host(sK5_skl) != host(sK5_skl) ),
inference(component_clause,[status(thm)],[f12507]) ).
fof(f12512,plain,
( sQ594_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12509]) ).
fof(f12513,plain,
sQ594_spl,
inference(contradiction_clause,[status(thm)],[f12512]) ).
fof(f12560,plain,
( sQ114_spl
| ~ sQ48_spl
| sK8_skl != sK11_skl ),
inference(backward_demodulation,[status(thm)],[f5288,f1215]) ).
fof(f12708,definition,
( sQ598_spl
<=> q_nil = snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f12709,plain,
( ~ sQ598_spl
| q_nil = snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f12708]) ).
fof(f12714,definition,
( sQ600_spl
<=> m_Down(sK10_skl) = last(snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f12715,plain,
( ~ sQ600_spl
| m_Down(sK10_skl) = last(snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK11_skl))) ),
inference(component_clause,[status(thm)],[f12714]) ).
fof(f12718,definition,
( sQ601_spl
<=> m_Down(sK10_skl) = m_Ack(sK5_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f12719,plain,
( ~ sQ601_spl
| m_Down(sK10_skl) = m_Ack(sK5_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f12718]) ).
fof(f12729,plain,
( ~ sQ598_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12709,f134]) ).
fof(f12730,plain,
~ sQ598_spl,
inference(contradiction_clause,[status(thm)],[f12729]) ).
fof(f12732,plain,
( ~ sQ600_spl
| m_Down(sK10_skl) = m_Ack(sK5_skl,sK11_skl) ),
inference(forward_demodulation,[status(thm)],[f129,f12715]) ).
fof(f12733,plain,
( ~ sQ600_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12732,f84]) ).
fof(f12734,plain,
~ sQ600_spl,
inference(contradiction_clause,[status(thm)],[f12733]) ).
fof(f12739,plain,
( ~ sQ601_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12719,f84]) ).
fof(f12740,plain,
~ sQ601_spl,
inference(contradiction_clause,[status(thm)],[f12739]) ).
fof(f13556,plain,
! [X0] :
( ~ sQ48_spl
| ~ setIn(X0,alive)
| sK4_skl = X0
| host(sK11_skl) != host(X0) ),
inference(forward_demodulation,[status(thm)],[f5288,f321]) ).
fof(f13557,plain,
! [X0] :
( ~ sQ48_spl
| X0 = sK11_skl
| ~ setIn(X0,alive)
| host(X0) != host(sK11_skl) ),
inference(forward_demodulation,[status(thm)],[f5288,f13556]) ).
fof(f13560,plain,
( ~ sQ48_spl
| sK8_skl = sK11_skl
| host(sK8_skl) != host(sK11_skl) ),
inference(resolution,[status(thm)],[f13557,f246]) ).
fof(f13565,definition,
( sQ619_spl
<=> sK8_skl = sK11_skl ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f13566,plain,
( ~ sQ619_spl
| sK8_skl = sK11_skl ),
inference(component_clause,[status(thm)],[f13565]) ).
fof(f13568,plain,
( ~ sQ48_spl
| sQ619_spl
| ~ sQ426_spl ),
inference(split_clause,[status(thm)],[f13560,f6347,f13565,f696]) ).
fof(f13575,plain,
( ~ sQ619_spl
| sQ114_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13566,f12560]) ).
fof(f13576,plain,
( ~ sQ619_spl
| sQ114_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f13575]) ).
fof(f14898,plain,
( ~ sQ288_spl
| ~ sQ69_spl
| leq(nbr_proc,host(sK8_skl))
| s(host(sK8_skl)) = nbr_proc ),
inference(resolution,[status(thm)],[f6354,f208]) ).
fof(f14904,definition,
( sQ690_spl
<=> nbr_proc = s(host(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f14905,plain,
( ~ sQ690_spl
| s(host(sK8_skl)) = nbr_proc ),
inference(component_clause,[status(thm)],[f14904]) ).
fof(f14911,definition,
( sQ692_spl
<=> leq(nbr_proc,host(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f14912,plain,
( ~ sQ692_spl
| leq(nbr_proc,host(sK8_skl)) ),
inference(component_clause,[status(thm)],[f14911]) ).
fof(f14914,plain,
( ~ sQ288_spl
| ~ sQ69_spl
| sQ692_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f14898,f14904,f14911,f917,f4237]) ).
fof(f14915,plain,
( ~ sQ692_spl
| sQ357_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14912,f5531]) ).
fof(f14916,plain,
( ~ sQ692_spl
| sQ357_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f14915]) ).
fof(f14923,plain,
( ~ sQ690_spl
| ~ sQ69_spl
| ~ leq(nbr_proc,nbr_proc)
| leq(host(sK8_skl),host(sK11_skl)) ),
inference(paramodulation,[status(thm)],[f14905,f3989]) ).
fof(f14938,plain,
( ~ sQ690_spl
| ~ sQ69_spl
| ~ sQ95_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f14923,f6350,f1071,f917,f14904]) ).
fof(f14940,plain,
$false,
inference(sat_refutation,[status(thm)],[f255,f333,f560,f563,f571,f658,f662,f699,f843,f897,f923,f925,f930,f1028,f1281,f1606,f1724,f1741,f3077,f4240,f5273,f5275,f5278,f5341,f5346,f5361,f6353,f7609,f12457,f12513,f12730,f12734,f12740,f13568,f13576,f14914,f14916,f14938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.50 % Computer : n010.cluster.edu
% 0.09/0.50 % Model : x86_64 x86_64
% 0.09/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.50 % Memory : 8046.5625MB
% 0.09/0.50 % OS : Linux 6.8.0-71-generic
% 0.09/0.50 % CPULimit : 300
% 0.09/0.50 % WCLimit : 300
% 0.09/0.50 % DateTime : Mon Sep 21 08:52:55 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 131.99/17.26 % Refutation found
% 131.99/17.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 131.99/17.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.16/17.32 % Elapsed time: 16.796102 seconds
% 17.16/17.32 % CPU time: 132.847925 seconds
% 17.16/17.32 % Total memory used: 459.674 MB
% 17.16/17.32 % Net memory used: 386.396 MB
%------------------------------------------------------------------------------