%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV465+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 : n001.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 181.06s 23.34s
% Output : CNFRefutation 115.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 92
% Syntax : Number of formulae : 416 ( 121 unt; 64 def)
% Number of atoms : 1261 ( 356 equ)
% Maximal formula atoms : 88 ( 3 avg)
% Number of connectives : 1437 ( 592 ~; 479 |; 251 &)
% ( 70 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 71 ( 69 usr; 65 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 19 con; 0-3 aty)
% Number of variables : 498 ( 478 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [P] : leq(s(zero),host(P)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P] : leq(host(P),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_Halt(Z),
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(f14,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_NotNorm(Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] : m_Down(X) != m_NotNorm(Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] : m_Down(X) != m_NormQ(Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] : m_NormQ(X) != m_Halt(Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X,Q] : head(cons(X,Q)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X,Q] : tail(cons(X,Q)) = Q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [Q] :
( Q = cons(head(Q),tail(Q))
| Q = q_nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Q] : q_nil != cons(X,Q),
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(f46,axiom,
! [X] : ~ elem(X,q_nil),
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(f49,axiom,
! [X] :
( pidElem(X)
<=> ? [Y] :
( X = m_Down(Y)
| X = m_Halt(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X] :
( ordered(snoc(q_nil,X))
& ordered(cons(X,q_nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X] : ~ leq(s(X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [X,Y] :
( leq(Y,X)
| leq(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(f63,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
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(X)) = cons(m_NormQ(W),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(X,alive)
=> ( index(status,host(X)) != norm
=> ! [Y,Z,X0,Y0] :
( host(W) = host(Y0)
=> ( host(X) = host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& 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(X)) = cons(m_NormQ(W),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(X,alive)
=> ( index(status,host(X)) != norm
=> ! [Y,Z,X0,Y0] :
( host(W) = host(Y0)
=> ( host(X) = host(Y0)
=> ( ( host(X0) = s(index(pendack,host(Y0)))
& host(Z) = index(pendack,host(Y0))
& index(status,host(Y0)) = elec_2
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& setIn(Y0,alive) )
=> ~ ( index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f74,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f81,plain,
elec_2 != norm,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f83,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f84,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f85,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
! [X0,X1] : m_NormQ(X0) != m_Halt(X1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f127,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f128,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f131,plain,
! [X0] :
( X0 = cons(head(X0),tail(X0))
| X0 = q_nil ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f133,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f134,plain,
! [X0,X1] : q_nil != snoc(X0,X1),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f137,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[status(thm)],[f46]) ).
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(f142,plain,
! [X0,X1,X2] :
( ~ elem(X0,X2)
| 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(f146,plain,
! [X0,X1,X2] :
( X0 != X2
| elem(X0,snoc(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f148,plain,
! [X] :
( ( ! [Y] :
( X != m_Down(Y)
& X != m_Halt(Y) )
| pidElem(X) )
& ( ? [Y] :
( X = m_Down(Y)
| X = m_Halt(Y) )
| ~ pidElem(X) ) ),
inference(NNF_transformation,[status(thm)],[f49]) ).
fof(f149,plain,
( ! [X] :
( ( ! [Y] : X != m_Down(Y)
& ! [Y] : X != m_Halt(Y) )
| pidElem(X) )
& ! [X] :
( ? [Y] : X = m_Down(Y)
| ? [Y] : X = m_Halt(Y)
| ~ pidElem(X) ) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f150,plain,
( ! [X] :
( ( ! [Y] : X != m_Down(Y)
& ! [Y] : X != m_Halt(Y) )
| pidElem(X) )
& ! [X] :
( X = m_Down(sK1_skl(X))
| X = m_Halt(sK0_skl(X))
| ~ pidElem(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f149]) ).
fof(f151,plain,
! [X0] :
( X0 = m_Down(sK1_skl(X0))
| X0 = m_Halt(sK0_skl(X0))
| ~ pidElem(X0) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f157,plain,
( ! [X] : ordered(snoc(q_nil,X))
& ! [X] : ordered(cons(X,q_nil)) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f159,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f191,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f192,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f193,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
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(f199,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f200,plain,
! [X,Z] :
( leq(X,Z)
| ! [Y] :
( ~ leq(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
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(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,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)
| X0 = s(X1)
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f210,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| 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
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& setIn(Y0,alive)
& host(X) = host(Y0)
& host(W) = host(Y0) )
& index(status,host(X)) != norm
& setIn(X,alive)
& queue(host(X)) = cons(m_NormQ(W),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,
? [V,W,X] :
( ? [Y0] :
( ? [Y] :
( 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
& leq(nbr_proc,s(index(pendack,host(Y0))))
& elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
& elem(m_Down(X0),snoc(V,m_NotNorm(W)))
& setIn(Y0,alive) ) )
& host(X) = host(Y0)
& host(W) = host(Y0) )
& index(status,host(X)) != norm
& setIn(X,alive)
& queue(host(X)) = cons(m_NormQ(W),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(sK11_skl)) = norm
& index(ldr,host(sK11_skl)) = host(sK11_skl)
& setIn(sK11_skl,alive)
& host(sK9_skl) = s(index(pendack,host(sK8_skl)))
& host(sK10_skl) = index(pendack,host(sK8_skl))
& index(status,host(sK8_skl)) = elec_2
& leq(nbr_proc,s(index(pendack,host(sK8_skl))))
& elem(m_Ack(sK8_skl,sK10_skl),snoc(sK4_skl,m_NotNorm(sK5_skl)))
& elem(m_Down(sK9_skl),snoc(sK4_skl,m_NotNorm(sK5_skl)))
& setIn(sK8_skl,alive)
& host(sK6_skl) = host(sK8_skl)
& host(sK5_skl) = host(sK8_skl)
& index(status,host(sK6_skl)) != norm
& setIn(sK6_skl,alive)
& queue(host(sK6_skl)) = cons(m_NormQ(sK5_skl),sK4_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)))
| ( sK7_skl(Pid20,Pid0,Z) != host(Pid20)
& ~ setIn(sK7_skl(Pid20,Pid0,Z),index(down,host(Pid0)))
& leq(s(zero),sK7_skl(Pid20,Pid0,Z))
& ~ leq(host(Pid0),sK7_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(V,sK4_skl),skolemize(W,sK5_skl),skolemize(X,sK6_skl),skolemize(V0,sK7_skl(Pid20,Pid0,Z)),skolemize(Y0,sK8_skl),skolemize(X0,sK9_skl),skolemize(Z,sK10_skl),skolemize(Y,sK11_skl)],[f213]) ).
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(sK6_skl)) = cons(m_NormQ(sK5_skl),sK4_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f237,plain,
host(sK5_skl) = host(sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f238,plain,
host(sK6_skl) = host(sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f239,plain,
setIn(sK8_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f240,plain,
elem(m_Down(sK9_skl),snoc(sK4_skl,m_NotNorm(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f241,plain,
elem(m_Ack(sK8_skl,sK10_skl),snoc(sK4_skl,m_NotNorm(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
leq(nbr_proc,s(index(pendack,host(sK8_skl)))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
index(status,host(sK8_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f244,plain,
host(sK10_skl) = index(pendack,host(sK8_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f245,plain,
host(sK9_skl) = s(index(pendack,host(sK8_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f246,plain,
setIn(sK11_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f247,plain,
index(ldr,host(sK11_skl)) = host(sK11_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f248,plain,
index(status,host(sK11_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
| 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(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
| index(status,host(X0)) != norm
| index(ldr,host(X0)) != host(X0)
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f233,f249,f252]) ).
fof(f257,plain,
! [X0,X1] : elem(X0,snoc(X1,X0)),
inference(destructive_equality_resolution,[status(thm)],[f146]) ).
fof(f313,plain,
! [X0] : leq(X0,s(X0)),
inference(resolution,[status(thm)],[f193,f191]) ).
fof(f349,plain,
! [X0] : ~ leq(s(s(X0)),X0),
inference(resolution,[status(thm)],[f210,f191]) ).
fof(f353,definition,
( sQ8_spl
<=> leq(nbr_proc,zero) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f381,plain,
! [X0] : ~ leq(s(s(s(X0))),X0),
inference(resolution,[status(thm)],[f349,f210]) ).
fof(f433,plain,
! [X0,X1] :
( X1 = q_nil
| ~ elem(X0,tail(X1))
| elem(X0,X1) ),
inference(paramodulation,[status(thm)],[f131,f142]) ).
fof(f441,plain,
queue(host(sK8_skl)) = cons(m_NormQ(sK5_skl),sK4_skl),
inference(forward_demodulation,[status(thm)],[f238,f234]) ).
fof(f447,plain,
tail(queue(host(sK8_skl))) = sK4_skl,
inference(paramodulation,[status(thm)],[f441,f128]) ).
fof(f448,plain,
head(queue(host(sK8_skl))) = m_NormQ(sK5_skl),
inference(paramodulation,[status(thm)],[f441,f127]) ).
fof(f449,plain,
q_nil != queue(host(sK8_skl)),
inference(paramodulation,[status(thm)],[f441,f133]) ).
fof(f465,plain,
! [X0] : ~ leq(s(s(s(s(X0)))),X0),
inference(resolution,[status(thm)],[f381,f210]) ).
fof(f471,definition,
( sQ14_spl
<=> queue(host(sK8_skl)) = q_nil ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ14_spl
| queue(host(sK8_skl)) = q_nil ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f478,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f449]) ).
fof(f479,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f478]) ).
fof(f527,definition,
! [X0] :
( sQ24_spl
<=> ( snoc(q_nil,X0) = q_nil
| ~ ordered(snoc(q_nil,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f528,plain,
! [X0] :
( ~ sQ24_spl
| snoc(q_nil,X0) = q_nil
| ~ ordered(snoc(q_nil,X0)) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f545,definition,
! [X1] :
( sQ26_spl
<=> pidElem(X1) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f546,plain,
! [X0] :
( ~ sQ26_spl
| pidElem(X0) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f560,plain,
! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ),
inference(resolution,[status(thm)],[f201,f74]) ).
fof(f561,plain,
! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ),
inference(resolution,[status(thm)],[f201,f75]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f201,f210]) ).
fof(f568,plain,
! [X0,X1,X2] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f201,f193]) ).
fof(f605,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f205,f210]) ).
fof(f607,plain,
! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f205,f193]) ).
fof(f610,plain,
! [X0,X1] :
( m_Ack(X0,X1) = m_Down(sK1_skl(m_Ack(X0,X1)))
| ~ pidElem(m_Ack(X0,X1)) ),
inference(resolution,[status(thm)],[f151,f83]) ).
fof(f612,plain,
! [X0] :
( m_NormQ(X0) = m_Down(sK1_skl(m_NormQ(X0)))
| ~ pidElem(m_NormQ(X0)) ),
inference(resolution,[status(thm)],[f151,f93]) ).
fof(f617,plain,
! [X0,X1] : ~ pidElem(m_Ack(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f610,f84]) ).
fof(f619,plain,
! [X0] : ~ pidElem(m_NormQ(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f612,f92]) ).
fof(f661,plain,
( elem(m_Down(sK9_skl),sK4_skl)
| m_Down(sK9_skl) = m_NotNorm(sK5_skl) ),
inference(resolution,[status(thm)],[f240,f145]) ).
fof(f662,definition,
( sQ34_spl
<=> m_Down(sK9_skl) = m_NotNorm(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ34_spl
| m_Down(sK9_skl) = m_NotNorm(sK5_skl) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ35_spl
<=> elem(m_Down(sK9_skl),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ35_spl
| elem(m_Down(sK9_skl),sK4_skl) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f661,f662,f665]) ).
fof(f669,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f91]) ).
fof(f670,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f669]) ).
fof(f683,definition,
( sQ37_spl
<=> setIn(sK8_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( sQ37_spl
| ~ setIn(sK8_skl,alive) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f711,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f239]) ).
fof(f712,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f719,plain,
! [X0] : leq(zero,host(X0)),
inference(resolution,[status(thm)],[f605,f74]) ).
fof(f724,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(X1)) ),
inference(resolution,[status(thm)],[f605,f210]) ).
fof(f729,plain,
! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ),
inference(resolution,[status(thm)],[f719,f201]) ).
fof(f772,plain,
! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(s(X0),zero) ),
inference(resolution,[status(thm)],[f729,f605]) ).
fof(f773,plain,
! [X0] : ~ leq(s(host(X0)),zero),
inference(resolution,[status(thm)],[f729,f191]) ).
fof(f778,plain,
! [X0] : leq(zero,s(host(X0))),
inference(resolution,[status(thm)],[f773,f193]) ).
fof(f781,plain,
! [X0,X1] :
( leq(X0,s(host(X1)))
| ~ leq(X0,zero) ),
inference(resolution,[status(thm)],[f778,f201]) ).
fof(f828,definition,
! [X0] :
( sQ49_spl
<=> elem(X0,q_nil) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ49_spl
| elem(X0,q_nil) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f832,definition,
! [X0] :
( sQ50_spl
<=> q_nil = cons(X0,tail(q_nil)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f833,plain,
! [X0] :
( ~ sQ50_spl
| q_nil = cons(X0,tail(q_nil)) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f866,plain,
leq(nbr_proc,s(host(sK10_skl))),
inference(forward_demodulation,[status(thm)],[f244,f242]) ).
fof(f867,plain,
( leq(nbr_proc,host(sK10_skl))
| nbr_proc = s(host(sK10_skl)) ),
inference(resolution,[status(thm)],[f866,f208]) ).
fof(f870,definition,
( sQ52_spl
<=> nbr_proc = s(host(sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ52_spl
| nbr_proc = s(host(sK10_skl)) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ53_spl
<=> leq(nbr_proc,host(sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ53_spl
| leq(nbr_proc,host(sK10_skl)) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f867,f870,f873]) ).
fof(f909,definition,
( sQ56_spl
<=> leq(s(nbr_proc),zero) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f933,definition,
( sQ57_spl
<=> setIn(sK11_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( sQ57_spl
| ~ setIn(sK11_skl,alive) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f962,plain,
( ~ sQ53_spl
| host(sK10_skl) = nbr_proc
| ~ leq(host(sK10_skl),nbr_proc) ),
inference(resolution,[status(thm)],[f874,f196]) ).
fof(f963,definition,
( sQ64_spl
<=> leq(host(sK10_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( sQ64_spl
| ~ leq(host(sK10_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ65_spl
<=> host(sK10_skl) = nbr_proc ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ65_spl
| host(sK10_skl) = nbr_proc ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( ~ sQ53_spl
| sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f962,f963,f966,f873]) ).
fof(f970,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f76]) ).
fof(f971,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f972,plain,
( ~ sQ65_spl
| nbr_proc = index(pendack,host(sK8_skl)) ),
inference(backward_demodulation,[status(thm)],[f967,f244]) ).
fof(f1009,definition,
( sQ69_spl
<=> leq(nbr_proc,nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( sQ69_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1084,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f935,f246]) ).
fof(f1085,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1096,definition,
( sQ79_spl
<=> elec_2 = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( sQ79_spl
| elec_2 != elec_2 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1104,definition,
( sQ81_spl
<=> index(status,host(sK8_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( sQ81_spl
| index(status,host(sK8_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1127,definition,
( sQ83_spl
<=> leq(zero,s(nbr_proc)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
! [X0] : ~ leq(s(s(s(s(s(X0))))),X0),
inference(resolution,[status(thm)],[f465,f210]) ).
fof(f1228,plain,
! [X0] :
( ~ leq(X0,zero)
| leq(s(X0),nbr_proc) ),
inference(resolution,[status(thm)],[f561,f204]) ).
fof(f1250,plain,
! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ),
inference(resolution,[status(thm)],[f568,f74]) ).
fof(f1256,plain,
! [X0,X1] :
( leq(X0,s(host(X1)))
| leq(zero,X0) ),
inference(resolution,[status(thm)],[f568,f778]) ).
fof(f1291,plain,
! [X0] :
( leq(s(X0),nbr_proc)
| leq(zero,X0) ),
inference(resolution,[status(thm)],[f607,f561]) ).
fof(f1325,definition,
( sQ94_spl
<=> host(sK10_skl) = zero ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1326,plain,
( ~ sQ94_spl
| host(sK10_skl) = zero ),
inference(component_clause,[status(thm)],[f1325]) ).
fof(f1343,definition,
( sQ98_spl
<=> index(status,host(sK11_skl)) = norm ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( sQ98_spl
| index(status,host(sK11_skl)) != norm ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1347,definition,
( sQ99_spl
<=> host(sK11_skl) = host(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ99_spl
| host(sK11_skl) != host(sK11_skl) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1424,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,zero) ),
inference(resolution,[status(thm)],[f1228,f724]) ).
fof(f1590,definition,
( sQ116_spl
<=> zero = s(s(s(nbr_proc))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( ~ sQ116_spl
| zero = s(s(s(nbr_proc))) ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1604,plain,
( ~ sQ116_spl
| ~ leq(s(zero),nbr_proc) ),
inference(paramodulation,[status(thm)],[f1591,f465]) ).
fof(f1658,plain,
( sQ98_spl
| norm != norm ),
inference(forward_demodulation,[status(thm)],[f248,f1345]) ).
fof(f1659,plain,
( sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1658]) ).
fof(f1660,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1664,plain,
! [X0] :
( leq(X0,s(nbr_proc))
| leq(zero,X0) ),
inference(resolution,[status(thm)],[f1291,f724]) ).
fof(f1705,plain,
( sQ81_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f243,f1106]) ).
fof(f1706,plain,
( sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1705]) ).
fof(f1707,plain,
sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1706]) ).
fof(f1764,plain,
! [X0] :
( queue(host(sK8_skl)) = q_nil
| ~ elem(X0,sK4_skl)
| elem(X0,queue(host(sK8_skl))) ),
inference(paramodulation,[status(thm)],[f447,f433]) ).
fof(f1768,definition,
! [X0] :
( sQ132_spl
<=> ( ~ elem(X0,sK4_skl)
| elem(X0,queue(host(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ132_spl
| ~ elem(X0,sK4_skl)
| elem(X0,queue(host(sK8_skl))) ),
inference(component_clause,[status(thm)],[f1768]) ).
fof(f1771,plain,
( sQ14_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1764,f1768,f471]) ).
fof(f1779,plain,
! [X0,X1] :
( leq(zero,X0)
| leq(s(X0),host(X1)) ),
inference(resolution,[status(thm)],[f560,f607]) ).
fof(f1780,plain,
! [X0,X1] :
( ~ leq(X0,zero)
| leq(s(X0),host(X1)) ),
inference(resolution,[status(thm)],[f560,f204]) ).
fof(f1794,definition,
! [X0] :
( sQ133_spl
<=> leq(s(zero),host(X0)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1798,definition,
! [X0] :
( sQ134_spl
<=> leq(zero,host(X0)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1829,plain,
( elem(m_Ack(sK8_skl,sK10_skl),sK4_skl)
| m_Ack(sK8_skl,sK10_skl) = m_NotNorm(sK5_skl) ),
inference(resolution,[status(thm)],[f241,f145]) ).
fof(f1830,definition,
( sQ140_spl
<=> m_Ack(sK8_skl,sK10_skl) = m_NotNorm(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1831,plain,
( ~ sQ140_spl
| m_Ack(sK8_skl,sK10_skl) = m_NotNorm(sK5_skl) ),
inference(component_clause,[status(thm)],[f1830]) ).
fof(f1833,definition,
( sQ141_spl
<=> elem(m_Ack(sK8_skl,sK10_skl),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1834,plain,
( ~ sQ141_spl
| elem(m_Ack(sK8_skl,sK10_skl),sK4_skl) ),
inference(component_clause,[status(thm)],[f1833]) ).
fof(f1836,plain,
( sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1829,f1830,f1833]) ).
fof(f1837,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1831,f85]) ).
fof(f1838,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1839,plain,
( ~ sQ65_spl
| host(sK9_skl) = s(nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f972,f245]) ).
fof(f1873,plain,
( ~ sQ65_spl
| leq(s(nbr_proc),nbr_proc) ),
inference(paramodulation,[status(thm)],[f1839,f76]) ).
fof(f1948,definition,
( sQ160_spl
<=> leq(nbr_proc,s(nbr_proc)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1950,plain,
( sQ160_spl
| ~ leq(nbr_proc,s(nbr_proc)) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1962,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1873,f191]) ).
fof(f1963,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ0_spl
| host(X0) != index(pendack,host(sK8_skl))
| index(status,host(sK8_skl)) != elec_2
| ~ leq(nbr_proc,s(index(pendack,host(sK8_skl))))
| ~ elem(m_Down(sK9_skl),queue(host(sK8_skl)))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK8_skl)))
| ~ setIn(sK8_skl,alive) ),
inference(resolution,[status(thm)],[f245,f250]) ).
fof(f2145,definition,
! [X0] :
( sQ174_spl
<=> ( host(X0) != index(pendack,host(sK8_skl))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ174_spl
| host(X0) != index(pendack,host(sK8_skl))
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK8_skl))) ),
inference(component_clause,[status(thm)],[f2145]) ).
fof(f2148,definition,
( sQ175_spl
<=> elem(m_Down(sK9_skl),queue(host(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2150,plain,
( sQ175_spl
| ~ elem(m_Down(sK9_skl),queue(host(sK8_skl))) ),
inference(component_clause,[status(thm)],[f2148]) ).
fof(f2151,definition,
( sQ176_spl
<=> leq(nbr_proc,s(index(pendack,host(sK8_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2153,plain,
( sQ176_spl
| ~ leq(nbr_proc,s(index(pendack,host(sK8_skl)))) ),
inference(component_clause,[status(thm)],[f2151]) ).
fof(f2154,plain,
( ~ sQ0_spl
| ~ sQ81_spl
| ~ sQ176_spl
| ~ sQ175_spl
| sQ174_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2118,f683,f2145,f2148,f2151,f1104,f249]) ).
fof(f2178,plain,
( sQ176_spl
| ~ leq(nbr_proc,host(sK9_skl)) ),
inference(forward_demodulation,[status(thm)],[f245,f2153]) ).
fof(f2248,definition,
( sQ186_spl
<=> index(status,host(sK5_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2250,plain,
( sQ186_spl
| index(status,host(sK5_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f2248]) ).
fof(f2290,plain,
host(sK9_skl) = s(host(sK10_skl)),
inference(backward_demodulation,[status(thm)],[f244,f245]) ).
fof(f2292,plain,
( ~ sQ52_spl
| host(sK9_skl) = nbr_proc ),
inference(forward_demodulation,[status(thm)],[f871,f2290]) ).
fof(f2338,plain,
( sQ176_spl
| ~ sQ52_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(backward_demodulation,[status(thm)],[f2292,f2178]) ).
fof(f2378,plain,
( sQ176_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2338,f192]) ).
fof(f2379,plain,
( sQ176_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2378]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ174_spl
| host(X0) != host(sK10_skl)
| ~ elem(m_Ack(sK8_skl,X0),queue(host(sK8_skl))) ),
inference(forward_demodulation,[status(thm)],[f244,f2146]) ).
fof(f2568,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1604,f75]) ).
fof(f2569,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2578,definition,
( sQ200_spl
<=> host(sK8_skl) = host(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2580,plain,
( sQ200_spl
| host(sK8_skl) != host(sK8_skl) ),
inference(component_clause,[status(thm)],[f2578]) ).
fof(f2978,definition,
( sQ229_spl
<=> last(sK4_skl) = last(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2980,plain,
( sQ229_spl
| last(sK4_skl) != last(sK4_skl) ),
inference(component_clause,[status(thm)],[f2978]) ).
fof(f3011,plain,
( sQ229_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2980]) ).
fof(f3012,plain,
sQ229_spl,
inference(contradiction_clause,[status(thm)],[f3011]) ).
fof(f3226,definition,
! [X0] :
( sQ236_spl
<=> ( ~ ordered(X0)
| ~ elem(m_Down(sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f3227,plain,
! [X0] :
( ~ sQ236_spl
| ~ ordered(X0)
| ~ elem(m_Down(sK5_skl),X0) ),
inference(component_clause,[status(thm)],[f3226]) ).
fof(f3233,definition,
( sQ238_spl
<=> ordered(snoc(q_nil,m_Halt(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f3235,plain,
( sQ238_spl
| ~ ordered(snoc(q_nil,m_Halt(sK8_skl))) ),
inference(component_clause,[status(thm)],[f3233]) ).
fof(f3240,plain,
( sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3235,f159]) ).
fof(f3241,plain,
sQ238_spl,
inference(contradiction_clause,[status(thm)],[f3240]) ).
fof(f3248,plain,
! [X0] :
( ~ sQ236_spl
| ~ ordered(snoc(X0,m_Down(sK5_skl))) ),
inference(resolution,[status(thm)],[f3227,f257]) ).
fof(f3251,plain,
( ~ sQ236_spl
| $false ),
inference(resolution,[status(thm)],[f3248,f159]) ).
fof(f3253,plain,
~ sQ236_spl,
inference(contradiction_clause,[status(thm)],[f3251]) ).
fof(f3328,definition,
! [X0] :
( sQ240_spl
<=> ( ~ ordered(X0)
| ~ elem(m_Down(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f3329,plain,
! [X0] :
( ~ sQ240_spl
| ~ ordered(X0)
| ~ elem(m_Down(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f3328]) ).
fof(f3343,definition,
( sQ243_spl
<=> ordered(snoc(q_nil,m_Halt(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3345,plain,
( sQ243_spl
| ~ ordered(snoc(q_nil,m_Halt(sK5_skl))) ),
inference(component_clause,[status(thm)],[f3343]) ).
fof(f3353,plain,
! [X0] :
( ~ sQ240_spl
| ~ ordered(snoc(X0,m_Down(sK8_skl))) ),
inference(resolution,[status(thm)],[f3329,f257]) ).
fof(f3356,plain,
( ~ sQ240_spl
| $false ),
inference(resolution,[status(thm)],[f3353,f159]) ).
fof(f3358,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f3356]) ).
fof(f3359,plain,
! [X0,X1] :
( leq(zero,host(X1))
| leq(zero,host(X0)) ),
inference(resolution,[status(thm)],[f1250,f772]) ).
fof(f3366,plain,
! [X0,X1] :
( leq(s(zero),host(X1))
| leq(s(zero),host(X0)) ),
inference(resolution,[status(thm)],[f1250,f560]) ).
fof(f3374,plain,
sQ134_spl,
inference(split_clause,[status(thm)],[f3359,f1798]) ).
fof(f3376,plain,
sQ133_spl,
inference(split_clause,[status(thm)],[f3366,f1794]) ).
fof(f3440,plain,
! [X0] : ~ leq(host(X0),zero),
inference(resolution,[status(thm)],[f1780,f191]) ).
fof(f3462,definition,
( sQ245_spl
<=> pidElem(head(queue(host(sK8_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f3463,plain,
( ~ sQ245_spl
| pidElem(head(queue(host(sK8_skl)))) ),
inference(component_clause,[status(thm)],[f3462]) ).
fof(f3518,plain,
( ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f617,f546]) ).
fof(f3524,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f3518]) ).
fof(f3550,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(s(s(X0)),X1) ),
inference(resolution,[status(thm)],[f566,f191]) ).
fof(f3618,definition,
! [X0] :
( sQ250_spl
<=> ~ leq(host(X0),zero) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f3623,definition,
! [X0] :
( sQ251_spl
<=> ~ leq(s(host(X0)),zero) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f3693,plain,
! [X0,X1] :
( ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ),
inference(resolution,[status(thm)],[f3550,f204]) ).
fof(f3741,plain,
! [X0,X1] :
( ~ leq(X1,zero)
| ~ leq(s(host(X0)),X1) ),
inference(resolution,[status(thm)],[f3693,f1780]) ).
fof(f3742,plain,
! [X0,X1] :
( leq(zero,X1)
| ~ leq(s(host(X0)),X1) ),
inference(resolution,[status(thm)],[f3693,f1779]) ).
fof(f3743,plain,
! [X0] :
( leq(zero,X0)
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[status(thm)],[f3693,f1291]) ).
fof(f3744,plain,
! [X0] :
( ~ leq(X0,zero)
| ~ leq(s(nbr_proc),X0) ),
inference(resolution,[status(thm)],[f3693,f1228]) ).
fof(f3781,plain,
( leq(zero,s(nbr_proc))
| leq(zero,s(nbr_proc)) ),
inference(resolution,[status(thm)],[f3743,f1664]) ).
fof(f3804,definition,
! [X0] :
( sQ254_spl
<=> leq(zero,s(host(X0))) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f3810,plain,
sQ83_spl,
inference(split_clause,[status(thm)],[f3781,f1127]) ).
fof(f3819,plain,
( ~ leq(nbr_proc,zero)
| ~ leq(nbr_proc,zero) ),
inference(resolution,[status(thm)],[f3744,f1228]) ).
fof(f3826,plain,
( ~ leq(s(nbr_proc),zero)
| ~ leq(s(nbr_proc),zero) ),
inference(resolution,[status(thm)],[f3744,f1424]) ).
fof(f3847,plain,
~ sQ8_spl,
inference(split_clause,[status(thm)],[f3819,f353]) ).
fof(f3852,plain,
~ sQ56_spl,
inference(split_clause,[status(thm)],[f3826,f909]) ).
fof(f4063,definition,
( sQ263_spl
<=> leq(s(zero),zero) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f4064,plain,
( ~ sQ263_spl
| leq(s(zero),zero) ),
inference(component_clause,[status(thm)],[f4063]) ).
fof(f4617,plain,
! [X0,X1] :
( ~ leq(host(X1),zero)
| ~ leq(host(X0),zero) ),
inference(resolution,[status(thm)],[f3741,f1780]) ).
fof(f4626,plain,
! [X0,X1] :
( ~ leq(s(host(X1)),zero)
| ~ leq(s(host(X0)),zero) ),
inference(resolution,[status(thm)],[f3741,f781]) ).
fof(f4648,plain,
sQ250_spl,
inference(split_clause,[status(thm)],[f4617,f3618]) ).
fof(f4655,plain,
sQ251_spl,
inference(split_clause,[status(thm)],[f4626,f3623]) ).
fof(f4666,plain,
! [X0,X1] :
( leq(zero,s(host(X1)))
| leq(zero,s(host(X0))) ),
inference(resolution,[status(thm)],[f3742,f1256]) ).
fof(f4695,plain,
sQ254_spl,
inference(split_clause,[status(thm)],[f4666,f3804]) ).
fof(f5988,definition,
( sQ287_spl
<=> nbr_proc = nbr_proc ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f5990,plain,
( sQ287_spl
| nbr_proc != nbr_proc ),
inference(component_clause,[status(thm)],[f5988]) ).
fof(f6085,definition,
( sQ293_spl
<=> zero = s(s(s(s(nbr_proc)))) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f6086,plain,
( ~ sQ293_spl
| zero = s(s(s(s(nbr_proc)))) ),
inference(component_clause,[status(thm)],[f6085]) ).
fof(f6094,plain,
( ~ sQ293_spl
| ~ leq(s(zero),nbr_proc) ),
inference(paramodulation,[status(thm)],[f6086,f1226]) ).
fof(f6181,plain,
( ~ sQ293_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6094,f75]) ).
fof(f6182,plain,
~ sQ293_spl,
inference(contradiction_clause,[status(thm)],[f6181]) ).
fof(f6638,definition,
! [X0] :
( sQ300_spl
<=> ~ leq(host(X0),host(sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f6639,plain,
! [X0] :
( ~ sQ300_spl
| ~ leq(host(X0),host(sK10_skl)) ),
inference(component_clause,[status(thm)],[f6638]) ).
fof(f6857,definition,
( sQ303_spl
<=> leq(s(nbr_proc),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f6858,plain,
( ~ sQ303_spl
| leq(s(nbr_proc),nbr_proc) ),
inference(component_clause,[status(thm)],[f6857]) ).
fof(f7823,definition,
( sQ353_spl
<=> leq(index(pendack,host(sK8_skl)),host(sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f7825,plain,
( sQ353_spl
| ~ leq(index(pendack,host(sK8_skl)),host(sK10_skl)) ),
inference(component_clause,[status(thm)],[f7823]) ).
fof(f7845,definition,
( sQ359_spl
<=> leq(index(pendack,host(sK5_skl)),host(sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f7847,plain,
( sQ359_spl
| ~ leq(index(pendack,host(sK5_skl)),host(sK10_skl)) ),
inference(component_clause,[status(thm)],[f7845]) ).
fof(f8172,plain,
( ~ sQ303_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6858,f191]) ).
fof(f8173,plain,
~ sQ303_spl,
inference(contradiction_clause,[status(thm)],[f8172]) ).
fof(f8174,plain,
( sQ287_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5990]) ).
fof(f8175,plain,
sQ287_spl,
inference(contradiction_clause,[status(thm)],[f8174]) ).
fof(f8384,plain,
( ~ sQ94_spl
| ~ leq(zero,zero) ),
inference(paramodulation,[status(thm)],[f1326,f3440]) ).
fof(f8386,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8384,f192]) ).
fof(f8387,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f8386]) ).
fof(f8544,plain,
( ~ sQ300_spl
| $false ),
inference(resolution,[status(thm)],[f6639,f192]) ).
fof(f8548,plain,
~ sQ300_spl,
inference(contradiction_clause,[status(thm)],[f8544]) ).
fof(f9926,definition,
( sQ388_spl
<=> leq(host(sK8_skl),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f9928,plain,
( sQ388_spl
| ~ leq(host(sK8_skl),nbr_proc) ),
inference(component_clause,[status(thm)],[f9926]) ).
fof(f9975,definition,
( sQ398_spl
<=> s(s(nbr_proc)) = nbr_proc ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f9976,plain,
( ~ sQ398_spl
| s(s(nbr_proc)) = nbr_proc ),
inference(component_clause,[status(thm)],[f9975]) ).
fof(f13023,plain,
( ~ sQ174_spl
| ~ elem(m_Ack(sK8_skl,sK10_skl),queue(host(sK8_skl))) ),
inference(equality_resolution,[status(thm)],[f2429]) ).
fof(f15922,plain,
( ~ sQ132_spl
| ~ sQ174_spl
| ~ elem(m_Ack(sK8_skl,sK10_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f13023,f1769]) ).
fof(f15923,plain,
( ~ sQ132_spl
| ~ sQ174_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15922,f1834]) ).
fof(f15924,plain,
( ~ sQ132_spl
| ~ sQ174_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f15923]) ).
fof(f15962,plain,
( ~ sQ1_spl
| index(status,host(sK11_skl)) != norm
| ~ setIn(sK11_skl,alive) ),
inference(resolution,[status(thm)],[f247,f253]) ).
fof(f15964,plain,
( ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f15962,f933,f1343,f252]) ).
fof(f16284,plain,
( sQ359_spl
| ~ leq(index(pendack,host(sK8_skl)),host(sK10_skl)) ),
inference(forward_demodulation,[status(thm)],[f237,f7847]) ).
fof(f16285,plain,
( sQ359_spl
| ~ leq(host(sK10_skl),host(sK10_skl)) ),
inference(forward_demodulation,[status(thm)],[f244,f16284]) ).
fof(f16286,plain,
( sQ359_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16285,f192]) ).
fof(f16287,plain,
sQ359_spl,
inference(contradiction_clause,[status(thm)],[f16286]) ).
fof(f16288,plain,
( sQ353_spl
| ~ leq(host(sK10_skl),host(sK10_skl)) ),
inference(forward_demodulation,[status(thm)],[f244,f7825]) ).
fof(f16289,plain,
( sQ353_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16288,f192]) ).
fof(f16290,plain,
sQ353_spl,
inference(contradiction_clause,[status(thm)],[f16289]) ).
fof(f16303,plain,
( ~ sQ245_spl
| pidElem(m_NormQ(sK5_skl)) ),
inference(forward_demodulation,[status(thm)],[f448,f3463]) ).
fof(f16304,plain,
( ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16303,f619]) ).
fof(f16305,plain,
~ sQ245_spl,
inference(contradiction_clause,[status(thm)],[f16304]) ).
fof(f16306,plain,
( sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3345,f159]) ).
fof(f16307,plain,
sQ243_spl,
inference(contradiction_clause,[status(thm)],[f16306]) ).
fof(f16311,plain,
( sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2580]) ).
fof(f16312,plain,
sQ200_spl,
inference(contradiction_clause,[status(thm)],[f16311]) ).
fof(f16317,plain,
( sQ186_spl
| index(status,host(sK8_skl)) != elec_2 ),
inference(forward_demodulation,[status(thm)],[f237,f2250]) ).
fof(f16318,plain,
( sQ186_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f243,f16317]) ).
fof(f16319,plain,
( sQ186_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f16318]) ).
fof(f16320,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f16319]) ).
fof(f16359,plain,
( sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1098]) ).
fof(f16360,plain,
sQ79_spl,
inference(contradiction_clause,[status(thm)],[f16359]) ).
fof(f16361,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f133]) ).
fof(f16362,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f16361]) ).
fof(f16363,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f829,f137]) ).
fof(f16364,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f16363]) ).
fof(f16367,plain,
! [X0] :
( ~ sQ24_spl
| snoc(q_nil,X0) = q_nil ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f159]) ).
fof(f16446,definition,
! [X0] :
( sQ461_spl
<=> q_nil = snoc(init(q_nil),X0) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f16447,plain,
! [X0] :
( ~ sQ461_spl
| q_nil = snoc(init(q_nil),X0) ),
inference(component_clause,[status(thm)],[f16446]) ).
fof(f16450,plain,
( ~ sQ461_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16447,f134]) ).
fof(f16451,plain,
~ sQ461_spl,
inference(contradiction_clause,[status(thm)],[f16450]) ).
fof(f16858,definition,
! [X3] :
( sQ467_spl
<=> ~ setIn(X3,alive) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f16859,plain,
! [X0] :
( ~ sQ467_spl
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f16858]) ).
fof(f16870,plain,
( ~ sQ467_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f239,f16859]) ).
fof(f16872,plain,
~ sQ467_spl,
inference(contradiction_clause,[status(thm)],[f16870]) ).
fof(f16905,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16367,f134]) ).
fof(f16906,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f16905]) ).
fof(f17052,plain,
( sQ388_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9928,f76]) ).
fof(f17053,plain,
sQ388_spl,
inference(contradiction_clause,[status(thm)],[f17052]) ).
fof(f17069,plain,
( ~ sQ398_spl
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(paramodulation,[status(thm)],[f9976,f465]) ).
fof(f17128,plain,
( ~ sQ398_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f9976,f17069]) ).
fof(f17129,plain,
( ~ sQ398_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17128,f192]) ).
fof(f17130,plain,
~ sQ398_spl,
inference(contradiction_clause,[status(thm)],[f17129]) ).
fof(f19820,plain,
( sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1950,f313]) ).
fof(f19821,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f19820]) ).
fof(f22062,definition,
( sQ530_spl
<=> sK8_skl = sK11_skl ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f22063,plain,
( ~ sQ530_spl
| sK8_skl = sK11_skl ),
inference(component_clause,[status(thm)],[f22062]) ).
fof(f22115,plain,
( ~ sQ530_spl
| index(status,host(sK11_skl)) = elec_2 ),
inference(backward_demodulation,[status(thm)],[f22063,f243]) ).
fof(f22456,definition,
( sQ534_spl
<=> leq(s(sK9_skl),s(sK9_skl)) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f22458,plain,
( sQ534_spl
| ~ leq(s(sK9_skl),s(sK9_skl)) ),
inference(component_clause,[status(thm)],[f22456]) ).
fof(f22525,plain,
( sQ534_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22458,f192]) ).
fof(f22526,plain,
sQ534_spl,
inference(contradiction_clause,[status(thm)],[f22525]) ).
fof(f23812,plain,
( ~ sQ530_spl
| norm = elec_2 ),
inference(forward_demodulation,[status(thm)],[f248,f22115]) ).
fof(f23813,plain,
( ~ sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23812,f81]) ).
fof(f23814,plain,
~ sQ530_spl,
inference(contradiction_clause,[status(thm)],[f23813]) ).
fof(f25179,definition,
( sQ595_spl
<=> leq(index(pendack,host(sK11_skl)),index(pendack,host(sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f25181,plain,
( sQ595_spl
| ~ leq(index(pendack,host(sK11_skl)),index(pendack,host(sK11_skl))) ),
inference(component_clause,[status(thm)],[f25179]) ).
fof(f25196,plain,
( sQ595_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25181,f192]) ).
fof(f25197,plain,
sQ595_spl,
inference(contradiction_clause,[status(thm)],[f25196]) ).
fof(f26253,plain,
! [X0] :
( ~ elem(X0,sK4_skl)
| elem(X0,queue(host(sK8_skl))) ),
inference(paramodulation,[status(thm)],[f441,f142]) ).
fof(f27597,definition,
( sQ652_spl
<=> m_Ack(sK8_skl,sK10_skl) = m_NotNorm(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f27598,plain,
( ~ sQ652_spl
| m_Ack(sK8_skl,sK10_skl) = m_NotNorm(sK10_skl) ),
inference(component_clause,[status(thm)],[f27597]) ).
fof(f27601,plain,
( ~ sQ652_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f27598,f85]) ).
fof(f27602,plain,
~ sQ652_spl,
inference(contradiction_clause,[status(thm)],[f27601]) ).
fof(f27607,definition,
( sQ653_spl
<=> m_Down(sK9_skl) = m_NotNorm(sK10_skl) ),
introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).
fof(f27608,plain,
( ~ sQ653_spl
| m_Down(sK9_skl) = m_NotNorm(sK10_skl) ),
inference(component_clause,[status(thm)],[f27607]) ).
fof(f27611,plain,
( ~ sQ653_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f27608,f91]) ).
fof(f27612,plain,
~ sQ653_spl,
inference(contradiction_clause,[status(thm)],[f27611]) ).
fof(f27750,definition,
( sQ658_spl
<=> pidElem(m_NormQ(sK10_skl)) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f27751,plain,
( ~ sQ658_spl
| pidElem(m_NormQ(sK10_skl)) ),
inference(component_clause,[status(thm)],[f27750]) ).
fof(f27759,plain,
( ~ sQ658_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f27751,f619]) ).
fof(f27760,plain,
~ sQ658_spl,
inference(contradiction_clause,[status(thm)],[f27759]) ).
fof(f28267,definition,
! [X0] :
( sQ670_spl
<=> leq(host(X0),zero) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f28268,plain,
! [X0] :
( ~ sQ670_spl
| leq(host(X0),zero) ),
inference(component_clause,[status(thm)],[f28267]) ).
fof(f28289,plain,
( ~ sQ670_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28268,f3440]) ).
fof(f28290,plain,
~ sQ670_spl,
inference(contradiction_clause,[status(thm)],[f28289]) ).
fof(f30911,plain,
( sQ99_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1349]) ).
fof(f30912,plain,
sQ99_spl,
inference(contradiction_clause,[status(thm)],[f30911]) ).
fof(f34914,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4064,f191]) ).
fof(f34915,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f34914]) ).
fof(f34928,plain,
( sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1011,f192]) ).
fof(f34929,plain,
sQ69_spl,
inference(contradiction_clause,[status(thm)],[f34928]) ).
fof(f37406,definition,
( sQ778_spl
<=> sK10_skl = sK10_skl ),
introduced(definition,[new_symbols(definition,[sQ778_spl])],[split_symbol_definition]) ).
fof(f37408,plain,
( sQ778_spl
| sK10_skl != sK10_skl ),
inference(component_clause,[status(thm)],[f37406]) ).
fof(f37422,plain,
( sQ778_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f37408]) ).
fof(f37423,plain,
sQ778_spl,
inference(contradiction_clause,[status(thm)],[f37422]) ).
fof(f51820,plain,
( sQ175_spl
| ~ elem(m_Down(sK9_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f26253,f2150]) ).
fof(f51826,plain,
( sQ175_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f51820,f666]) ).
fof(f51827,plain,
( sQ175_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f51826]) ).
fof(f51828,plain,
$false,
inference(sat_refutation,[status(thm)],[f255,f479,f668,f670,f712,f876,f969,f971,f1085,f1660,f1707,f1771,f1836,f1838,f1963,f2154,f2379,f2569,f3012,f3241,f3253,f3358,f3374,f3376,f3524,f3810,f3847,f3852,f4648,f4655,f4695,f6182,f8173,f8175,f8387,f8548,f15924,f15964,f16287,f16290,f16305,f16307,f16312,f16320,f16360,f16362,f16364,f16451,f16872,f16906,f17053,f17130,f19821,f22526,f23814,f25197,f27602,f27612,f27760,f28290,f30912,f34915,f34929,f37423,f51827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV465+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:58:30 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 181.06/23.34 % Refutation found
% 181.06/23.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 181.06/23.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.50/23.75 % Elapsed time: 23.381936 seconds
% 11.50/23.75 % CPU time: 182.629178 seconds
% 11.50/23.75 % Total memory used: 517.555 MB
% 11.50/23.75 % Net memory used: 435.804 MB
%------------------------------------------------------------------------------