%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV460+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:58 PM UTC 2026
% Result : Theorem 148.85s 19.28s
% Output : CNFRefutation 50.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 62
% Syntax : Number of formulae : 277 ( 86 unt; 34 def)
% Number of atoms : 935 ( 295 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 1104 ( 446 ~; 373 |; 199 &)
% ( 40 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 35 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 18 con; 0-2 aty)
% Number of variables : 444 ( 429 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [P,Q] :
( s(host(P)) = host(Q)
=> host(P) != host(Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P] : leq(s(zero),host(P)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P] : leq(host(P),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_Halt(Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] : m_Ack(X,Y) != m_Down(Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] : m_Down(X) != m_NormQ(Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] : m_NormQ(X) != m_Halt(Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X,Q] : head(cons(X,Q)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [Y,Q] : last(snoc(Q,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [Q] :
( Q = snoc(init(Q),last(Q))
| Q = q_nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Q] : q_nil != cons(X,Q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [Y,Q] : q_nil != snoc(Q,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] : cons(X,q_nil) = snoc(q_nil,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X,Y,Q] : snoc(cons(X,Q),Y) = cons(X,snoc(Q,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X] : ~ elem(X,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X,Y,Q] :
( elem(X,cons(Y,Q))
<=> ( elem(X,Q)
| X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,Y,Q] :
( elem(X,snoc(Q,Y))
<=> ( elem(X,Q)
| X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X] :
( pidElem(X)
<=> ? [Y] :
( X = m_Down(Y)
| X = m_Halt(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X] :
( ordered(snoc(q_nil,X))
& ordered(cons(X,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X] : ~ leq(s(X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [X,Y] :
( leq(Y,X)
| leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [X,Y] :
( leq(X,Y)
<=> leq(s(X),s(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [X,Y] :
( leq(X,s(Y))
<=> ( leq(X,Y)
| X = s(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,conjecture,
! [V,W,X,Y] :
( ( queue(host(X)) = cons(m_Down(Y),V)
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& host(Pid0) = host(Pid20)
& elem(m_Down(Pid20),queue(host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& host(Pid0) = host(Pid20)
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& host(Pid0) = host(Pid20)
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Pid0),host(Z)) )
=> ~ elem(m_Down(Pid20),queue(host(Z))) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& setIn(host(Pid0),index(down,host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z] :
( ( setIn(Z,alive)
& ( index(status,host(Z)) = elec_2
| index(status,host(Z)) = elec_1 ) )
=> index(elid,host(Z)) = Z )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& setIn(Pid0,alive) )
=> ~ elem(m_Ack(Z,Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z] :
( index(status,host(Z)) = elec_2
=> ~ leq(index(pendack,host(Z)),host(Z)) )
& ! [Z,Pid0] :
( elem(m_Halt(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) ) )
=> ( setIn(X,alive)
=> ( ~ leq(host(X),host(Y))
=> ( ~ ( ( host(Y) = host(index(elid,host(X)))
& index(status,host(X)) = wait )
| ( index(status,host(X)) = norm
& index(ldr,host(X)) = host(Y) ) )
=> ( ( index(status,host(X)) = elec_1
& ! [Z] :
( ( leq(s(zero),Z)
& ~ leq(host(X),Z) )
=> ( Z = host(Y)
| setIn(Z,index(down,host(X))) ) ) )
=> ( ~ leq(nbr_proc,host(X))
=> ! [Z] :
( host(X) = host(Z)
=> ! [W0] :
( host(X) != host(W0)
=> ( ( index(status,host(W0)) = elec_2
& setIn(W0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(W0)) )
=> ~ leq(s(host(X)),index(pendack,host(W0))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ ! [V,W,X,Y] :
( ( queue(host(X)) = cons(m_Down(Y),V)
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& host(Pid0) = host(Pid20)
& elem(m_Down(Pid20),queue(host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& host(Pid0) = host(Pid20)
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& index(status,host(Z)) = elec_2
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(Pid0)) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z,Pid20,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& host(Pid0) = host(Pid20)
& setIn(Pid0,alive)
& setIn(Z,alive)
& ~ leq(host(Pid0),host(Z)) )
=> ~ elem(m_Down(Pid20),queue(host(Z))) )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& setIn(host(Pid0),index(down,host(Z)))
& setIn(Pid0,alive)
& setIn(Z,alive) )
=> leq(index(pendack,host(Pid0)),host(Z)) )
& ! [Z] :
( ( setIn(Z,alive)
& ( index(status,host(Z)) = elec_2
| index(status,host(Z)) = elec_1 ) )
=> index(elid,host(Z)) = Z )
& ! [Z,Pid0] :
( ( index(status,host(Pid0)) = elec_2
& setIn(Pid0,alive) )
=> ~ elem(m_Ack(Z,Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid20,Pid0] :
( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z] :
( index(status,host(Z)) = elec_2
=> ~ leq(index(pendack,host(Z)),host(Z)) )
& ! [Z,Pid0] :
( elem(m_Halt(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) ) )
=> ( setIn(X,alive)
=> ( ~ leq(host(X),host(Y))
=> ( ~ ( ( host(Y) = host(index(elid,host(X)))
& index(status,host(X)) = wait )
| ( index(status,host(X)) = norm
& index(ldr,host(X)) = host(Y) ) )
=> ( ( index(status,host(X)) = elec_1
& ! [Z] :
( ( leq(s(zero),Z)
& ~ leq(host(X),Z) )
=> ( Z = host(Y)
| setIn(Z,index(down,host(X))) ) ) )
=> ( ~ leq(nbr_proc,host(X))
=> ! [Z] :
( host(X) = host(Z)
=> ! [W0] :
( host(X) != host(W0)
=> ( ( index(status,host(W0)) = elec_2
& setIn(W0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(W0)) )
=> ~ leq(s(host(X)),index(pendack,host(W0))) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f72,plain,
! [P,Q] :
( host(P) != host(Q)
| s(host(P)) != host(Q) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
! [X0,X1] :
( host(X0) != host(X1)
| s(host(X0)) != host(X1) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
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(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(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(f129,plain,
! [X0,X1] : last(snoc(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f132,plain,
! [X0] :
( X0 = snoc(init(X0),last(X0))
| X0 = q_nil ),
inference(cnf_transformation,[status(thm)],[f41]) ).
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(f135,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f136,plain,
! [X0,X1,X2] : snoc(cons(X0,X1),X2) = cons(X0,snoc(X1,X2)),
inference(cnf_transformation,[status(thm)],[f45]) ).
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(f140,plain,
! [X0,X1,X2] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
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(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(f153,plain,
! [X0,X1] :
( X0 != m_Down(X1)
| 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(f158,plain,
! [X0] : ordered(cons(X0,q_nil)),
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(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] :
( ? [W0] :
( leq(s(host(X)),index(pendack,host(W0)))
& index(status,host(W0)) = elec_2
& setIn(W0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(W0))
& host(X) != host(W0) )
& host(X) = host(Z) )
& ~ leq(nbr_proc,host(X))
& index(status,host(X)) = elec_1
& ! [Z] :
( Z = host(Y)
| setIn(Z,index(down,host(X)))
| ~ leq(s(zero),Z)
| leq(host(X),Z) )
& ( host(Y) != host(index(elid,host(X)))
| index(status,host(X)) != wait )
& ( index(status,host(X)) != norm
| index(ldr,host(X)) != host(Y) )
& ~ leq(host(X),host(Y))
& setIn(X,alive)
& queue(host(X)) = cons(m_Down(Y),V)
& ! [Z,Pid0] :
( ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| host(Pid0) != host(Pid20)
| ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z,Pid20,Pid0] :
( ~ elem(m_Ack(Z,Pid20),queue(host(Z)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20,Pid0] :
( ~ elem(m_Down(Pid20),queue(host(Z)))
| index(status,host(Pid0)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Pid0),host(Z)) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Z,Pid0] :
( ~ elem(m_Ack(Z,Pid0),queue(host(Z)))
| index(status,host(Pid0)) != elec_2
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid20,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z] :
( ~ leq(index(pendack,host(Z)),host(Z))
| index(status,host(Z)) != elec_2 )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(Z))) ) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f213,plain,
? [X,Y] :
( ? [Z] :
( ? [W0] :
( leq(s(host(X)),index(pendack,host(W0)))
& index(status,host(W0)) = elec_2
& setIn(W0,alive)
& setIn(Z,alive)
& ~ leq(host(Z),host(W0))
& host(X) != host(W0) )
& host(X) = host(Z) )
& ~ leq(nbr_proc,host(X))
& index(status,host(X)) = elec_1
& ! [Z] :
( Z = host(Y)
| setIn(Z,index(down,host(X)))
| ~ leq(s(zero),Z)
| leq(host(X),Z) )
& ( host(Y) != host(index(elid,host(X)))
| index(status,host(X)) != wait )
& ( index(status,host(X)) != norm
| index(ldr,host(X)) != host(Y) )
& ~ leq(host(X),host(Y))
& setIn(X,alive)
& ? [V] : queue(host(X)) = cons(m_Down(Y),V)
& ! [Z,Pid0] :
( ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ! [Pid20] :
( host(Pid0) != host(Pid20)
| ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid20] :
( ~ elem(m_Ack(Z,Pid20),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Pid0),host(Z)) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Pid0] :
( ! [Z] : ~ elem(m_Ack(Z,Pid0),queue(host(Z)))
| index(status,host(Pid0)) != elec_2
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ! [Pid20] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z] :
( ~ leq(index(pendack,host(Z)),host(Z))
| index(status,host(Z)) != elec_2 )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(Z))) ) ),
inference(miniscoping,[status(thm)],[f212]) ).
fof(f214,plain,
( leq(s(host(sK4_skl)),index(pendack,host(sK8_skl)))
& index(status,host(sK8_skl)) = elec_2
& setIn(sK8_skl,alive)
& setIn(sK7_skl,alive)
& ~ leq(host(sK7_skl),host(sK8_skl))
& host(sK4_skl) != host(sK8_skl)
& host(sK4_skl) = host(sK7_skl)
& ~ leq(nbr_proc,host(sK4_skl))
& index(status,host(sK4_skl)) = elec_1
& ! [Z] :
( Z = host(sK5_skl)
| setIn(Z,index(down,host(sK4_skl)))
| ~ leq(s(zero),Z)
| leq(host(sK4_skl),Z) )
& ( host(sK5_skl) != host(index(elid,host(sK4_skl)))
| index(status,host(sK4_skl)) != wait )
& ( index(status,host(sK4_skl)) != norm
| index(ldr,host(sK4_skl)) != host(sK5_skl) )
& ~ leq(host(sK4_skl),host(sK5_skl))
& setIn(sK4_skl,alive)
& queue(host(sK4_skl)) = cons(m_Down(sK5_skl),sK6_skl)
& ! [Z,Pid0] :
( ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0)))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ! [Pid20] :
( host(Pid0) != host(Pid20)
| ~ elem(m_Down(Pid20),queue(host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid20] :
( ~ elem(m_Ack(Z,Pid20),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| index(status,host(Z)) != elec_2
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Z),host(Pid0)) )
& ! [Z,Pid20] :
( ~ elem(m_Down(Pid20),queue(host(Z)))
| ! [Pid0] :
( index(status,host(Pid0)) != elec_2
| host(Pid0) != host(Pid20)
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| leq(host(Pid0),host(Z)) ) )
& ! [Z,Pid0] :
( leq(index(pendack,host(Pid0)),host(Z))
| index(status,host(Pid0)) != elec_2
| ~ setIn(host(Pid0),index(down,host(Z)))
| ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) )
& ! [Z] :
( index(elid,host(Z)) = Z
| ~ setIn(Z,alive)
| ( index(status,host(Z)) != elec_2
& index(status,host(Z)) != elec_1 ) )
& ! [Pid0] :
( ! [Z] : ~ elem(m_Ack(Z,Pid0),queue(host(Z)))
| index(status,host(Pid0)) != elec_2
| ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ! [Pid20] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z] :
( ~ leq(index(pendack,host(Z)),host(Z))
| index(status,host(Z)) != elec_2 )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(Z))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(V,sK6_skl),skolemize(Z,sK7_skl),skolemize(W0,sK8_skl)],[f213]) ).
fof(f222,plain,
! [X0,X1] :
( leq(index(pendack,host(X1)),host(X0))
| index(status,host(X1)) != elec_2
| ~ setIn(host(X1),index(down,host(X0)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f226,plain,
! [X0,X1,X2] :
( leq(index(pendack,host(X1)),host(X0))
| index(status,host(X1)) != elec_2
| host(X1) != host(X2)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f228,plain,
queue(host(sK4_skl)) = cons(m_Down(sK5_skl),sK6_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f229,plain,
setIn(sK4_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f230,plain,
~ leq(host(sK4_skl),host(sK5_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f233,plain,
! [X0] :
( X0 = host(sK5_skl)
| setIn(X0,index(down,host(sK4_skl)))
| ~ leq(s(zero),X0)
| leq(host(sK4_skl),X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f235,plain,
~ leq(nbr_proc,host(sK4_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f236,plain,
host(sK4_skl) = host(sK7_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f237,plain,
host(sK4_skl) != host(sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f238,plain,
~ leq(host(sK7_skl),host(sK8_skl)),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f240,plain,
setIn(sK8_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f241,plain,
index(status,host(sK8_skl)) = elec_2,
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
leq(s(host(sK4_skl)),index(pendack,host(sK8_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f257,plain,
! [X0,X1] : elem(X0,cons(X0,X1)),
inference(destructive_equality_resolution,[status(thm)],[f141]) ).
fof(f258,plain,
! [X0,X1] : elem(X0,snoc(X1,X0)),
inference(destructive_equality_resolution,[status(thm)],[f146]) ).
fof(f260,plain,
! [X0] : pidElem(m_Down(X0)),
inference(destructive_equality_resolution,[status(thm)],[f153]) ).
fof(f265,plain,
~ leq(host(sK4_skl),host(sK8_skl)),
inference(forward_demodulation,[status(thm)],[f236,f238]) ).
fof(f302,plain,
! [X0] : leq(X0,s(X0)),
inference(resolution,[status(thm)],[f193,f191]) ).
fof(f342,plain,
! [X0,X1,X2] : last(cons(X0,snoc(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f136,f129]) ).
fof(f361,plain,
leq(host(sK8_skl),host(sK4_skl)),
inference(resolution,[status(thm)],[f265,f193]) ).
fof(f369,plain,
! [X0,X1] :
( s(X1) = X0
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f210,f196]) ).
fof(f376,definition,
( sQ12_spl
<=> nbr_proc = zero ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ12_spl
| nbr_proc = zero ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f385,plain,
( ~ sQ12_spl
| ~ leq(zero,host(sK4_skl)) ),
inference(backward_demodulation,[status(thm)],[f377,f235]) ).
fof(f406,plain,
! [X0,X1,X2] : elem(X0,cons(X1,snoc(X2,X0))),
inference(paramodulation,[status(thm)],[f136,f258]) ).
fof(f487,plain,
! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ),
inference(resolution,[status(thm)],[f201,f75]) ).
fof(f488,plain,
! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ),
inference(resolution,[status(thm)],[f201,f76]) ).
fof(f490,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f201,f210]) ).
fof(f493,plain,
! [X0,X1,X2] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f201,f193]) ).
fof(f505,definition,
! [X0] :
( sQ21_spl
<=> ~ ordered(cons(X0,q_nil)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f506,plain,
! [X0] :
( ~ sQ21_spl
| ~ ordered(cons(X0,q_nil)) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f540,plain,
( host(sK4_skl) = host(sK8_skl)
| ~ leq(host(sK4_skl),host(sK8_skl)) ),
inference(resolution,[status(thm)],[f361,f196]) ).
fof(f541,definition,
( sQ24_spl
<=> leq(host(sK4_skl),host(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f544,definition,
( sQ25_spl
<=> host(sK4_skl) = host(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ25_spl
| host(sK4_skl) = host(sK8_skl) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f540,f541,f544]) ).
fof(f550,definition,
( sQ26_spl
<=> index(status,host(sK8_skl)) = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( sQ26_spl
| index(status,host(sK8_skl)) != elec_2 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f558,plain,
! [X0,X1] : last(cons(X0,cons(X1,q_nil))) = X1,
inference(paramodulation,[status(thm)],[f135,f342]) ).
fof(f566,plain,
! [X0,X1] :
( X0 = q_nil
| elem(last(X0),cons(X1,X0)) ),
inference(paramodulation,[status(thm)],[f132,f406]) ).
fof(f578,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f205,f210]) ).
fof(f639,plain,
! [X0] : leq(zero,host(X0)),
inference(resolution,[status(thm)],[f578,f74]) ).
fof(f662,definition,
( sQ28_spl
<=> leq(zero,nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f877,plain,
! [X0] :
( host(X0) = host(sK5_skl)
| ~ leq(s(zero),host(X0))
| leq(host(sK4_skl),host(X0))
| leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| ~ setIn(X0,alive)
| ~ setIn(sK4_skl,alive) ),
inference(resolution,[status(thm)],[f222,f233]) ).
fof(f878,definition,
( sQ31_spl
<=> setIn(sK4_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( sQ31_spl
| ~ setIn(sK4_skl,alive) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
! [X0] :
( sQ32_spl
<=> ( host(X0) = host(sK5_skl)
| ~ leq(s(zero),host(X0))
| leq(host(sK4_skl),host(X0))
| leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f882,plain,
! [X0] :
( ~ sQ32_spl
| host(X0) = host(sK5_skl)
| ~ leq(s(zero),host(X0))
| leq(host(sK4_skl),host(X0))
| leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f877,f878,f881]) ).
fof(f885,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f229]) ).
fof(f886,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f885]) ).
fof(f887,plain,
! [X0] :
( ~ sQ32_spl
| host(X0) = host(sK5_skl)
| leq(host(sK4_skl),host(X0))
| leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f74]) ).
fof(f1014,plain,
( sQ26_spl
| elec_2 != elec_2 ),
inference(forward_demodulation,[status(thm)],[f241,f552]) ).
fof(f1015,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1014]) ).
fof(f1016,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1017,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f237]) ).
fof(f1018,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1026,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f158]) ).
fof(f1027,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1064,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f639]) ).
fof(f1065,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1166,definition,
( sQ44_spl
<=> index(pendack,host(sK8_skl)) = s(host(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( ~ sQ44_spl
| index(pendack,host(sK8_skl)) = s(host(sK4_skl)) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1200,plain,
q_nil != queue(host(sK4_skl)),
inference(paramodulation,[status(thm)],[f228,f133]) ).
fof(f1204,plain,
elem(m_Down(sK5_skl),queue(host(sK4_skl))),
inference(paramodulation,[status(thm)],[f228,f257]) ).
fof(f1211,definition,
( sQ47_spl
<=> pidElem(m_Down(sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( sQ47_spl
| ~ pidElem(m_Down(sK5_skl)) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1219,plain,
( sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1213,f260]) ).
fof(f1220,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1492,definition,
( sQ55_spl
<=> queue(host(sK4_skl)) = q_nil ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( ~ sQ55_spl
| queue(host(sK4_skl)) = q_nil ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1499,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1493,f1200]) ).
fof(f1500,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1589,plain,
! [X0,X1] :
( leq(host(X1),X0)
| leq(X0,nbr_proc) ),
inference(resolution,[status(thm)],[f488,f193]) ).
fof(f1593,definition,
! [X0] :
( sQ61_spl
<=> leq(host(X0),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( s(host(sK4_skl)) = index(pendack,host(sK8_skl))
| ~ leq(index(pendack,host(sK8_skl)),host(sK4_skl)) ),
inference(resolution,[status(thm)],[f369,f242]) ).
fof(f1720,definition,
( sQ64_spl
<=> leq(index(pendack,host(sK8_skl)),host(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1721,plain,
( ~ sQ64_spl
| leq(index(pendack,host(sK8_skl)),host(sK4_skl)) ),
inference(component_clause,[status(thm)],[f1720]) ).
fof(f1723,plain,
( sQ44_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1705,f1720,f1166]) ).
fof(f1937,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(s(s(X0)),X1) ),
inference(resolution,[status(thm)],[f490,f191]) ).
fof(f1949,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ),
inference(resolution,[status(thm)],[f493,f75]) ).
fof(f1960,plain,
! [X0,X1,X2] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f493,f193]) ).
fof(f2022,definition,
( sQ76_spl
<=> host(sK4_skl) = host(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2024,plain,
( sQ76_spl
| host(sK4_skl) != host(sK4_skl) ),
inference(component_clause,[status(thm)],[f2022]) ).
fof(f2026,plain,
( sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2024]) ).
fof(f2027,plain,
sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2026]) ).
fof(f2593,definition,
( sQ95_spl
<=> leq(s(zero),nbr_proc) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f3030,plain,
! [X0] :
( leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| host(X0) != host(sK5_skl)
| ~ setIn(X0,alive)
| ~ setIn(sK4_skl,alive) ),
inference(resolution,[status(thm)],[f1204,f226]) ).
fof(f3032,definition,
! [X0] :
( sQ110_spl
<=> ( leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| host(X0) != host(sK5_skl)
| ~ setIn(X0,alive) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ110_spl
| leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| host(X0) != host(sK5_skl)
| ~ setIn(X0,alive) ),
inference(component_clause,[status(thm)],[f3032]) ).
fof(f3035,plain,
( sQ110_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3030,f878,f3032]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ110_spl
| leq(host(sK4_skl),host(X0))
| leq(index(pendack,host(X0)),host(sK4_skl))
| index(status,host(X0)) != elec_2
| ~ setIn(X0,alive) ),
inference(backward_subsumption_resolution,[status(thm)],[f887,f3033]) ).
fof(f3301,definition,
! [X0] :
( sQ116_spl
<=> nbr_proc = host(X0) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f3302,plain,
! [X0] :
( ~ sQ116_spl
| nbr_proc = host(X0) ),
inference(component_clause,[status(thm)],[f3301]) ).
fof(f3308,plain,
( ~ sQ116_spl
| ~ leq(host(sK4_skl),nbr_proc) ),
inference(backward_demodulation,[status(thm)],[f3302,f265]) ).
fof(f3445,plain,
( ~ sQ116_spl
| ~ leq(nbr_proc,nbr_proc) ),
inference(forward_demodulation,[status(thm)],[f3302,f3308]) ).
fof(f3446,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3445,f192]) ).
fof(f3447,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f3446]) ).
fof(f3569,plain,
! [X0,X1] :
( leq(host(X1),nbr_proc)
| leq(host(X0),nbr_proc) ),
inference(resolution,[status(thm)],[f1589,f488]) ).
fof(f3577,plain,
sQ61_spl,
inference(split_clause,[status(thm)],[f3569,f1593]) ).
fof(f3578,definition,
! [X0,X1] :
( sQ117_spl
<=> leq(host(X0),host(X1)) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f3579,plain,
! [X0,X1] :
( ~ sQ117_spl
| leq(host(X0),host(X1)) ),
inference(component_clause,[status(thm)],[f3578]) ).
fof(f3587,plain,
( ~ sQ117_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f230,f3579]) ).
fof(f3591,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f3587]) ).
fof(f3941,plain,
! [X0,X1,X2] :
( cons(X2,cons(X0,q_nil)) = q_nil
| elem(X0,cons(X1,cons(X2,cons(X0,q_nil)))) ),
inference(paramodulation,[status(thm)],[f558,f566]) ).
fof(f3947,plain,
! [X0,X1,X2] : elem(X0,cons(X1,cons(X2,cons(X0,q_nil)))),
inference(forward_subsumption_resolution,[status(thm)],[f3941,f133]) ).
fof(f4077,definition,
! [X0] :
( sQ126_spl
<=> X0 = last(q_nil) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ126_spl
| X0 = last(q_nil) ),
inference(component_clause,[status(thm)],[f4077]) ).
fof(f4088,plain,
! [X0,X1] :
( ~ sQ126_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f4078,f4078]) ).
fof(f4099,plain,
! [X0,X1] :
( ~ sQ126_spl
| s(host(X0)) != host(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f73,f4088]) ).
fof(f4162,definition,
! [X0,X1] :
( sQ128_spl
<=> elem(X0,cons(X1,q_nil)) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f4163,plain,
! [X0,X1] :
( ~ sQ128_spl
| elem(X0,cons(X1,q_nil)) ),
inference(component_clause,[status(thm)],[f4162]) ).
fof(f4166,definition,
! [X0] :
( sQ129_spl
<=> q_nil = snoc(init(q_nil),X0) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f4167,plain,
! [X0] :
( ~ sQ129_spl
| q_nil = snoc(init(q_nil),X0) ),
inference(component_clause,[status(thm)],[f4166]) ).
fof(f4170,definition,
! [X0] :
( sQ130_spl
<=> elem(X0,q_nil) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ130_spl
| elem(X0,q_nil) ),
inference(component_clause,[status(thm)],[f4170]) ).
fof(f4176,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4099,f4088]) ).
fof(f4177,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f4176]) ).
fof(f4178,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4171,f137]) ).
fof(f4179,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f4178]) ).
fof(f4181,plain,
( ~ sQ129_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4167,f134]) ).
fof(f4183,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f4181]) ).
fof(f4333,definition,
( sQ131_spl
<=> elec_1 = elec_1 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f4335,plain,
( sQ131_spl
| elec_1 != elec_1 ),
inference(component_clause,[status(thm)],[f4333]) ).
fof(f4337,plain,
( sQ131_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4335]) ).
fof(f4338,plain,
sQ131_spl,
inference(contradiction_clause,[status(thm)],[f4337]) ).
fof(f4339,plain,
! [X0,X1] :
( ~ sQ128_spl
| elem(X0,q_nil)
| X0 = X1 ),
inference(resolution,[status(thm)],[f4163,f140]) ).
fof(f4340,plain,
( ~ sQ128_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f93,f4400]) ).
fof(f4400,plain,
! [X0,X1] :
( ~ sQ128_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f4339,f137]) ).
fof(f4401,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f4340]) ).
fof(f4580,definition,
( sQ133_spl
<=> setIn(sK8_skl,alive) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f4582,plain,
( sQ133_spl
| ~ setIn(sK8_skl,alive) ),
inference(component_clause,[status(thm)],[f4580]) ).
fof(f4584,plain,
( sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4582,f240]) ).
fof(f4585,plain,
sQ133_spl,
inference(contradiction_clause,[status(thm)],[f4584]) ).
fof(f4880,plain,
! [X0,X1] :
( ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ),
inference(resolution,[status(thm)],[f1937,f204]) ).
fof(f4909,plain,
( leq(s(zero),nbr_proc)
| leq(s(zero),nbr_proc) ),
inference(resolution,[status(thm)],[f1949,f487]) ).
fof(f4921,plain,
sQ95_spl,
inference(split_clause,[status(thm)],[f4909,f2593]) ).
fof(f5650,definition,
! [X0] :
( sQ150_spl
<=> pidElem(X0) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f5651,plain,
! [X0] :
( ~ sQ150_spl
| pidElem(X0) ),
inference(component_clause,[status(thm)],[f5650]) ).
fof(f5722,plain,
! [X0] :
( ~ sQ150_spl
| X0 = m_Down(sK1_skl(X0))
| X0 = m_Halt(sK0_skl(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f151,f5651]) ).
fof(f6951,definition,
! [X0] :
( sQ181_spl
<=> ~ leq(host(sK4_skl),host(X0)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f6952,plain,
! [X0] :
( ~ sQ181_spl
| ~ leq(host(sK4_skl),host(X0)) ),
inference(component_clause,[status(thm)],[f6951]) ).
fof(f6967,plain,
( ~ sQ181_spl
| $false ),
inference(resolution,[status(thm)],[f6952,f1960]) ).
fof(f6978,plain,
~ sQ181_spl,
inference(contradiction_clause,[status(thm)],[f6967]) ).
fof(f7870,definition,
! [X0] :
( sQ217_spl
<=> m_Down(sK5_skl) = X0 ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f7871,plain,
! [X0] :
( ~ sQ217_spl
| m_Down(sK5_skl) = X0 ),
inference(component_clause,[status(thm)],[f7870]) ).
fof(f7875,plain,
( ~ sQ217_spl
| $false ),
inference(resolution,[status(thm)],[f7871,f92]) ).
fof(f7896,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f7875]) ).
fof(f7977,plain,
! [X0] :
( leq(X0,nbr_proc)
| ~ leq(s(X0),zero) ),
inference(resolution,[status(thm)],[f4880,f1949]) ).
fof(f8161,definition,
! [X0] :
( sQ224_spl
<=> head(cons(X0,q_nil)) = head(q_nil) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f8162,plain,
! [X0] :
( ~ sQ224_spl
| head(cons(X0,q_nil)) = head(q_nil) ),
inference(component_clause,[status(thm)],[f8161]) ).
fof(f8168,plain,
! [X0] :
( ~ sQ224_spl
| X0 = head(q_nil) ),
inference(forward_demodulation,[status(thm)],[f127,f8162]) ).
fof(f8169,plain,
! [X0,X1] :
( ~ sQ224_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f8168,f8168]) ).
fof(f8185,plain,
! [X0,X1] :
( ~ sQ224_spl
| s(host(X0)) != host(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f73,f8169]) ).
fof(f8266,plain,
( ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8185,f8169]) ).
fof(f8267,plain,
~ sQ224_spl,
inference(contradiction_clause,[status(thm)],[f8266]) ).
fof(f8561,definition,
( sQ230_spl
<=> elec_2 = elec_2 ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f8563,plain,
( sQ230_spl
| elec_2 != elec_2 ),
inference(component_clause,[status(thm)],[f8561]) ).
fof(f8565,plain,
( sQ230_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8563]) ).
fof(f8566,plain,
sQ230_spl,
inference(contradiction_clause,[status(thm)],[f8565]) ).
fof(f8762,definition,
! [X0] :
( sQ231_spl
<=> ( cons(X0,q_nil) = q_nil
| ~ ordered(cons(X0,q_nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f8763,plain,
! [X0] :
( ~ sQ231_spl
| cons(X0,q_nil) = q_nil
| ~ ordered(cons(X0,q_nil)) ),
inference(component_clause,[status(thm)],[f8762]) ).
fof(f8931,plain,
! [X0,X1,X2] :
( ~ sQ231_spl
| elem(X0,cons(X1,cons(X2,q_nil))) ),
inference(backward_demodulation,[status(thm)],[f8932,f3947]) ).
fof(f8932,plain,
! [X0] :
( ~ sQ231_spl
| cons(X0,q_nil) = q_nil ),
inference(forward_subsumption_resolution,[status(thm)],[f8763,f158]) ).
fof(f9683,plain,
! [X0,X1] :
( ~ sQ231_spl
| elem(X0,cons(X1,q_nil)) ),
inference(forward_demodulation,[status(thm)],[f8932,f8931]) ).
fof(f9684,plain,
! [X0] :
( ~ sQ231_spl
| elem(X0,q_nil) ),
inference(forward_demodulation,[status(thm)],[f8932,f9683]) ).
fof(f9685,plain,
( ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9684,f137]) ).
fof(f9686,plain,
~ sQ231_spl,
inference(contradiction_clause,[status(thm)],[f9685]) ).
fof(f10129,plain,
! [X0,X1] :
( ~ sQ150_spl
| m_Ack(X0,X1) = m_Halt(sK0_skl(m_Ack(X0,X1))) ),
inference(resolution,[status(thm)],[f5722,f84]) ).
fof(f10148,plain,
( ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10129,f83]) ).
fof(f10149,plain,
~ sQ150_spl,
inference(contradiction_clause,[status(thm)],[f10148]) ).
fof(f10256,definition,
( sQ254_spl
<=> leq(host(sK4_skl),s(host(sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f10258,plain,
( sQ254_spl
| ~ leq(host(sK4_skl),s(host(sK4_skl))) ),
inference(component_clause,[status(thm)],[f10256]) ).
fof(f10267,plain,
( sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10258,f302]) ).
fof(f10268,plain,
sQ254_spl,
inference(contradiction_clause,[status(thm)],[f10267]) ).
fof(f10563,plain,
( leq(zero,nbr_proc)
| leq(zero,nbr_proc) ),
inference(resolution,[status(thm)],[f7977,f1949]) ).
fof(f10571,plain,
sQ28_spl,
inference(split_clause,[status(thm)],[f10563,f662]) ).
fof(f12901,definition,
( sQ313_spl
<=> q_nil = snoc(q_nil,last(q_nil)) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f12902,plain,
( ~ sQ313_spl
| q_nil = snoc(q_nil,last(q_nil)) ),
inference(component_clause,[status(thm)],[f12901]) ).
fof(f12905,plain,
( ~ sQ313_spl
| q_nil = cons(last(q_nil),q_nil) ),
inference(forward_demodulation,[status(thm)],[f135,f12902]) ).
fof(f12906,plain,
( ~ sQ313_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12905,f133]) ).
fof(f12907,plain,
~ sQ313_spl,
inference(contradiction_clause,[status(thm)],[f12906]) ).
fof(f13841,definition,
! [X0] :
( sQ346_spl
<=> head(q_nil) = X0 ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f13842,plain,
! [X0] :
( ~ sQ346_spl
| head(q_nil) = X0 ),
inference(component_clause,[status(thm)],[f13841]) ).
fof(f13844,definition,
( sQ347_spl
<=> elem(head(q_nil),q_nil) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f13845,plain,
( ~ sQ347_spl
| elem(head(q_nil),q_nil) ),
inference(component_clause,[status(thm)],[f13844]) ).
fof(f13848,plain,
( ~ sQ347_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13845,f137]) ).
fof(f13849,plain,
~ sQ347_spl,
inference(contradiction_clause,[status(thm)],[f13848]) ).
fof(f13850,plain,
! [X0,X1] :
( ~ sQ346_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f13842,f13842]) ).
fof(f13866,plain,
! [X0,X1] :
( ~ sQ346_spl
| s(host(X0)) != host(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f73,f13850]) ).
fof(f13960,plain,
( ~ sQ346_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13866,f13850]) ).
fof(f13961,plain,
~ sQ346_spl,
inference(contradiction_clause,[status(thm)],[f13960]) ).
fof(f24611,plain,
( ~ sQ32_spl
| ~ sQ110_spl
| leq(host(sK4_skl),host(sK8_skl))
| leq(index(pendack,host(sK8_skl)),host(sK4_skl))
| index(status,host(sK8_skl)) != elec_2 ),
inference(resolution,[status(thm)],[f3040,f240]) ).
fof(f24613,plain,
( ~ sQ32_spl
| ~ sQ110_spl
| sQ24_spl
| sQ64_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f24611,f550,f1720,f541,f3032,f881]) ).
fof(f24627,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| leq(s(host(sK4_skl)),host(sK4_skl)) ),
inference(backward_demodulation,[status(thm)],[f1167,f1721]) ).
fof(f24651,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24627,f191]) ).
fof(f24652,plain,
( ~ sQ64_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f24651]) ).
fof(f24653,plain,
$false,
inference(sat_refutation,[status(thm)],[f547,f884,f886,f1016,f1018,f1027,f1065,f1220,f1500,f1723,f2027,f3035,f3447,f3577,f3591,f4177,f4179,f4183,f4338,f4401,f4585,f4921,f6978,f7896,f8267,f8566,f9686,f10149,f10268,f10571,f12907,f13849,f13961,f24613,f24652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV460+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:52:50 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 148.85/19.28 % Refutation found
% 148.85/19.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 148.85/19.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 50.79/19.36 % Elapsed time: 18.980620 seconds
% 50.79/19.36 % CPU time: 149.732419 seconds
% 50.79/19.36 % Total memory used: 414.547 MB
% 50.79/19.36 % Net memory used: 345.794 MB
%------------------------------------------------------------------------------