%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV451+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 : 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 02:47:57 PM UTC 2026
% Result : Theorem 13.00s 2.16s
% Output : CNFRefutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 23 unt; 0 def)
% Number of atoms : 386 ( 186 equ)
% Maximal formula atoms : 51 ( 6 avg)
% Number of connectives : 530 ( 203 ~; 132 |; 152 &)
% ( 2 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-2 aty)
% Number of variables : 190 ( 174 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [P,Q] :
( s(host(P)) = host(Q)
=> host(P) != host(Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] : m_Down(X) != m_Halt(Y),
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(f67,conjecture,
! [V,W,X,Y] :
( ( queue(host(Y)) = cons(m_NotNorm(X),V)
& ! [Z,Pid30,Pid20,Pid0] :
( ( host(Pid0) = host(Pid20)
& host(Pid30) = host(Z)
& setIn(Pid20,alive)
& setIn(Z,alive)
& host(Pid20) != host(Z) )
=> ~ ( elem(m_Down(Pid30),queue(host(Pid20)))
& elem(m_Down(Pid0),queue(host(Z))) ) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& leq(Pid0,Z)
& ~ setIn(Z,alive) )
=> ~ setIn(Pid0,alive) )
& ! [Z,Pid20,Pid0] :
( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( elem(m_Halt(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( elem(m_Down(Pid0),queue(host(Z)))
=> host(Pid0) != host(Z) )
& ! [Z,Pid0] :
( elem(m_Down(Pid0),queue(host(Z)))
=> ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( setIn(Pid0,alive)
=> ~ elem(m_Down(Pid0),queue(host(Z))) ) )
=> ( setIn(Y,alive)
=> ( ( index(elid,host(Y)) = X
& index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y) )
=> ( ( host(Y) = host(W)
& ~ setIn(W,pids)
& ! [Z] :
( host(Y) = host(Z)
=> leq(Z,W) ) )
=> ( host(W) = s(zero)
=> ( ~ leq(nbr_proc,host(W))
=> ! [Z] :
( s(host(W)) = host(Z)
=> ( host(Y) != host(Z)
=> ! [X0,Y0] :
( s(host(W)) != host(Y0)
=> ( host(Y) = host(Y0)
=> ! [Z0] :
( ( host(Z0) = host(Y0)
& host(X0) = host(Z)
& host(Y0) != host(Z)
& ( Y0 = W
| ( setIn(Y0,alive)
& Y0 != Y ) )
& ( Z = W
| ( setIn(Z,alive)
& Z != Y ) ) )
=> ~ ( elem(m_Down(Z0),snoc(queue(host(Z)),m_Halt(W)))
& elem(m_Down(X0),V) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ ! [V,W,X,Y] :
( ( queue(host(Y)) = cons(m_NotNorm(X),V)
& ! [Z,Pid30,Pid20,Pid0] :
( ( host(Pid0) = host(Pid20)
& host(Pid30) = host(Z)
& setIn(Pid20,alive)
& setIn(Z,alive)
& host(Pid20) != host(Z) )
=> ~ ( elem(m_Down(Pid30),queue(host(Pid20)))
& elem(m_Down(Pid0),queue(host(Z))) ) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& Pid0 != Z )
=> ( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ( host(Pid0) = host(Z)
& leq(Pid0,Z)
& ~ setIn(Z,alive) )
=> ~ setIn(Pid0,alive) )
& ! [Z,Pid20,Pid0] :
( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( elem(m_Halt(Pid0),queue(host(Z)))
=> ~ leq(host(Z),host(Pid0)) )
& ! [Z,Pid0] :
( elem(m_Down(Pid0),queue(host(Z)))
=> host(Pid0) != host(Z) )
& ! [Z,Pid0] :
( elem(m_Down(Pid0),queue(host(Z)))
=> ~ setIn(Pid0,alive) )
& ! [Z,Pid0] :
( setIn(Pid0,alive)
=> ~ elem(m_Down(Pid0),queue(host(Z))) ) )
=> ( setIn(Y,alive)
=> ( ( index(elid,host(Y)) = X
& index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y) )
=> ( ( host(Y) = host(W)
& ~ setIn(W,pids)
& ! [Z] :
( host(Y) = host(Z)
=> leq(Z,W) ) )
=> ( host(W) = s(zero)
=> ( ~ leq(nbr_proc,host(W))
=> ! [Z] :
( s(host(W)) = host(Z)
=> ( host(Y) != host(Z)
=> ! [X0,Y0] :
( s(host(W)) != host(Y0)
=> ( host(Y) = host(Y0)
=> ! [Z0] :
( ( host(Z0) = host(Y0)
& host(X0) = host(Z)
& host(Y0) != host(Z)
& ( Y0 = W
| ( setIn(Y0,alive)
& Y0 != Y ) )
& ( Z = W
| ( setIn(Z,alive)
& Z != Y ) ) )
=> ~ ( elem(m_Down(Z0),snoc(queue(host(Z)),m_Halt(W)))
& elem(m_Down(X0),V) ) ) ) ) ) ) ) ) ) ) ) ),
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(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[status(thm)],[f18]) ).
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(f212,plain,
? [V,W,X,Y] :
( ? [Z] :
( ? [X0,Y0] :
( ? [Z0] :
( elem(m_Down(Z0),snoc(queue(host(Z)),m_Halt(W)))
& elem(m_Down(X0),V)
& host(Z0) = host(Y0)
& host(X0) = host(Z)
& host(Y0) != host(Z)
& ( Y0 = W
| ( setIn(Y0,alive)
& Y0 != Y ) )
& ( Z = W
| ( setIn(Z,alive)
& Z != Y ) ) )
& host(Y) = host(Y0)
& s(host(W)) != host(Y0) )
& host(Y) != host(Z)
& s(host(W)) = host(Z) )
& ~ leq(nbr_proc,host(W))
& host(W) = s(zero)
& host(Y) = host(W)
& ~ setIn(W,pids)
& ! [Z] :
( leq(Z,W)
| host(Y) != host(Z) )
& index(elid,host(Y)) = X
& index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& queue(host(Y)) = cons(m_NotNorm(X),V)
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| host(Pid0) != host(Z)
| ~ leq(Pid0,Z)
| setIn(Z,alive) )
& ! [Z,Pid20,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( host(Pid0) != host(Z)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( ~ elem(m_Down(Pid0),queue(host(Z)))
| ~ setIn(Pid0,alive) ) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f213,plain,
? [V,X,Y] :
( ? [W] :
( ? [Z] :
( ? [Y0] :
( ? [X0,Z0] :
( elem(m_Down(Z0),snoc(queue(host(Z)),m_Halt(W)))
& elem(m_Down(X0),V)
& host(Z0) = host(Y0)
& host(X0) = host(Z)
& host(Y0) != host(Z)
& ( Y0 = W
| ( setIn(Y0,alive)
& Y0 != Y ) )
& ( Z = W
| ( setIn(Z,alive)
& Z != Y ) ) )
& host(Y) = host(Y0)
& s(host(W)) != host(Y0) )
& host(Y) != host(Z)
& s(host(W)) = host(Z) )
& ~ leq(nbr_proc,host(W))
& host(W) = s(zero)
& host(Y) = host(W)
& ~ setIn(W,pids)
& ! [Z] :
( leq(Z,W)
| host(Y) != host(Z) ) )
& index(elid,host(Y)) = X
& index(status,host(Y)) = norm
& index(ldr,host(Y)) = host(Y)
& setIn(Y,alive)
& queue(host(Y)) = cons(m_NotNorm(X),V)
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Pid0] :
( ~ setIn(Pid0,alive)
| ! [Z] :
( host(Pid0) != host(Z)
| ~ leq(Pid0,Z)
| setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ! [Pid20] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( host(Pid0) != host(Z)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Pid0] :
( ~ setIn(Pid0,alive)
| ! [Z] : ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Pid0] :
( ! [Z] : ~ elem(m_Down(Pid0),queue(host(Z)))
| ~ setIn(Pid0,alive) ) ),
inference(miniscoping,[status(thm)],[f212]) ).
fof(f214,plain,
( elem(m_Down(sK11_skl),snoc(queue(host(sK8_skl)),m_Halt(sK7_skl)))
& elem(m_Down(sK10_skl),sK4_skl)
& host(sK11_skl) = host(sK9_skl)
& host(sK10_skl) = host(sK8_skl)
& host(sK9_skl) != host(sK8_skl)
& ( sK9_skl = sK7_skl
| ( setIn(sK9_skl,alive)
& sK9_skl != sK6_skl ) )
& ( sK8_skl = sK7_skl
| ( setIn(sK8_skl,alive)
& sK8_skl != sK6_skl ) )
& host(sK6_skl) = host(sK9_skl)
& s(host(sK7_skl)) != host(sK9_skl)
& host(sK6_skl) != host(sK8_skl)
& s(host(sK7_skl)) = host(sK8_skl)
& ~ leq(nbr_proc,host(sK7_skl))
& host(sK7_skl) = s(zero)
& host(sK6_skl) = host(sK7_skl)
& ~ setIn(sK7_skl,pids)
& ! [Z] :
( leq(Z,sK7_skl)
| host(sK6_skl) != host(Z) )
& index(elid,host(sK6_skl)) = sK5_skl
& index(status,host(sK6_skl)) = norm
& index(ldr,host(sK6_skl)) = host(sK6_skl)
& setIn(sK6_skl,alive)
& queue(host(sK6_skl)) = cons(m_NotNorm(sK5_skl),sK4_skl)
& ! [Z,Pid30,Pid20,Pid0] :
( ~ elem(m_Down(Pid30),queue(host(Pid20)))
| ~ elem(m_Down(Pid0),queue(host(Z)))
| host(Pid0) != host(Pid20)
| host(Pid30) != host(Z)
| ~ setIn(Pid20,alive)
| ~ setIn(Z,alive)
| host(Pid20) = host(Z) )
& ! [Z,Pid0] :
( ~ setIn(Pid0,alive)
| ~ setIn(Z,alive)
| host(Pid0) != host(Z)
| Pid0 = Z )
& ! [Pid0] :
( ~ setIn(Pid0,alive)
| ! [Z] :
( host(Pid0) != host(Z)
| ~ leq(Pid0,Z)
| setIn(Z,alive) ) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ! [Pid20] : ~ elem(m_Ack(Pid0,Z),queue(host(Pid20))) )
& ! [Z,Pid0] :
( ~ leq(host(Z),host(Pid0))
| ~ elem(m_Halt(Pid0),queue(host(Z))) )
& ! [Z,Pid0] :
( host(Pid0) != host(Z)
| ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Pid0] :
( ~ setIn(Pid0,alive)
| ! [Z] : ~ elem(m_Down(Pid0),queue(host(Z))) )
& ! [Pid0] :
( ! [Z] : ~ elem(m_Down(Pid0),queue(host(Z)))
| ~ setIn(Pid0,alive) ) ),
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(X,sK5_skl),skolemize(Y,sK6_skl),skolemize(W,sK7_skl),skolemize(Z,sK8_skl),skolemize(Y0,sK9_skl),skolemize(X0,sK10_skl),skolemize(Z0,sK11_skl)],[f213]) ).
fof(f220,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| host(X1) != host(X0)
| ~ leq(X1,X0)
| setIn(X0,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f221,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) != host(X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Down(X3),queue(host(X1)))
| host(X3) != host(X0)
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f223,plain,
queue(host(sK6_skl)) = cons(m_NotNorm(sK5_skl),sK4_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f224,plain,
setIn(sK6_skl,alive),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f228,plain,
! [X0] :
( leq(X0,sK7_skl)
| host(sK6_skl) != host(X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f230,plain,
host(sK6_skl) = host(sK7_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f233,plain,
s(host(sK7_skl)) = host(sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f236,plain,
host(sK6_skl) = host(sK9_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f238,plain,
( sK8_skl = sK7_skl
| setIn(sK8_skl,alive) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f242,plain,
host(sK10_skl) = host(sK8_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
host(sK11_skl) = host(sK9_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f244,plain,
elem(m_Down(sK10_skl),sK4_skl),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f245,plain,
elem(m_Down(sK11_skl),snoc(queue(host(sK8_skl)),m_Halt(sK7_skl))),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f337,plain,
host(sK11_skl) = host(sK6_skl),
inference(forward_demodulation,[status(thm)],[f236,f243]) ).
fof(f356,plain,
! [X0] : elem(m_Down(sK10_skl),cons(X0,sK4_skl)),
inference(resolution,[status(thm)],[f142,f244]) ).
fof(f413,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) != host(sK6_skl)
| X0 = sK6_skl ),
inference(resolution,[status(thm)],[f221,f224]) ).
fof(f507,plain,
s(host(sK6_skl)) = host(sK8_skl),
inference(forward_demodulation,[status(thm)],[f230,f233]) ).
fof(f510,plain,
! [X0] :
( host(sK6_skl) != host(X0)
| host(sK8_skl) != host(X0) ),
inference(paramodulation,[status(thm)],[f507,f73]) ).
fof(f661,plain,
leq(sK6_skl,sK7_skl),
inference(equality_resolution,[status(thm)],[f228]) ).
fof(f685,plain,
( ~ setIn(sK6_skl,alive)
| host(sK6_skl) != host(sK7_skl)
| setIn(sK7_skl,alive) ),
inference(resolution,[status(thm)],[f661,f220]) ).
fof(f686,plain,
( ~ setIn(sK6_skl,alive)
| host(sK6_skl) != host(sK6_skl)
| setIn(sK7_skl,alive) ),
inference(forward_demodulation,[status(thm)],[f230,f685]) ).
fof(f687,plain,
( ~ setIn(sK6_skl,alive)
| setIn(sK7_skl,alive) ),
inference(trivial_equality_resolution,[status(thm)],[f686]) ).
fof(f688,plain,
setIn(sK7_skl,alive),
inference(forward_subsumption_resolution,[status(thm)],[f687,f224]) ).
fof(f711,plain,
( elem(m_Down(sK11_skl),queue(host(sK8_skl)))
| m_Down(sK11_skl) = m_Halt(sK7_skl) ),
inference(resolution,[status(thm)],[f245,f145]) ).
fof(f714,plain,
elem(m_Down(sK11_skl),queue(host(sK8_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f711,f89]) ).
fof(f983,plain,
elem(m_Down(sK10_skl),queue(host(sK6_skl))),
inference(paramodulation,[status(thm)],[f223,f356]) ).
fof(f1260,plain,
( host(sK7_skl) != host(sK6_skl)
| sK7_skl = sK6_skl ),
inference(resolution,[status(thm)],[f413,f688]) ).
fof(f1264,plain,
( host(sK6_skl) != host(sK6_skl)
| sK7_skl = sK6_skl ),
inference(forward_demodulation,[status(thm)],[f230,f1260]) ).
fof(f1265,plain,
sK7_skl = sK6_skl,
inference(trivial_equality_resolution,[status(thm)],[f1264]) ).
fof(f1295,plain,
( sK8_skl = sK6_skl
| setIn(sK8_skl,alive) ),
inference(backward_demodulation,[status(thm)],[f1265,f238]) ).
fof(f1911,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),queue(host(X0)))
| host(sK11_skl) != host(X0)
| host(X1) != host(sK8_skl)
| ~ setIn(X0,alive)
| ~ setIn(sK8_skl,alive)
| host(X0) = host(sK8_skl) ),
inference(resolution,[status(thm)],[f714,f222]) ).
fof(f1920,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),queue(host(X0)))
| host(sK6_skl) != host(X0)
| host(X1) != host(sK8_skl)
| ~ setIn(X0,alive)
| ~ setIn(sK8_skl,alive)
| host(X0) = host(sK8_skl) ),
inference(forward_demodulation,[status(thm)],[f337,f1911]) ).
fof(f1921,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),queue(host(X0)))
| host(sK6_skl) != host(X0)
| host(X1) != host(sK8_skl)
| ~ setIn(X0,alive)
| ~ setIn(sK8_skl,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f510]) ).
fof(f9692,plain,
( host(sK6_skl) != host(sK6_skl)
| host(sK10_skl) != host(sK8_skl)
| ~ setIn(sK6_skl,alive)
| ~ setIn(sK8_skl,alive) ),
inference(resolution,[status(thm)],[f1921,f983]) ).
fof(f9701,plain,
( host(sK6_skl) != host(sK6_skl)
| host(sK8_skl) != host(sK8_skl)
| ~ setIn(sK6_skl,alive)
| ~ setIn(sK8_skl,alive) ),
inference(forward_demodulation,[status(thm)],[f242,f9692]) ).
fof(f9702,plain,
( ~ setIn(sK6_skl,alive)
| ~ setIn(sK8_skl,alive) ),
inference(trivial_equality_resolution,[status(thm)],[f9701]) ).
fof(f9703,plain,
~ setIn(sK8_skl,alive),
inference(forward_subsumption_resolution,[status(thm)],[f9702,f224]) ).
fof(f9717,plain,
sK8_skl = sK6_skl,
inference(backward_subsumption_resolution,[status(thm)],[f1295,f9703]) ).
fof(f9718,plain,
~ setIn(sK6_skl,alive),
inference(backward_demodulation,[status(thm)],[f9717,f9703]) ).
fof(f9757,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f9718,f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV451+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 08:57:59 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 13.00/2.16 % Refutation found
% 13.00/2.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.00/2.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.00/2.21 % Elapsed time: 1.764030 seconds
% 13.00/2.21 % CPU time: 13.523562 seconds
% 13.00/2.21 % Total memory used: 190.912 MB
% 13.00/2.21 % Net memory used: 176.685 MB
%------------------------------------------------------------------------------