%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV473+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 09:02:29 AM UTC 2026
% Result : Theorem 33.63s 8.90s
% Output : CNFRefutation 33.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 57 ( 20 unt; 0 def)
% Number of atoms : 314 ( 136 equ)
% Maximal formula atoms : 67 ( 5 avg)
% Number of connectives : 404 ( 147 ~; 130 |; 89 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 20 con; 0-2 aty)
% Number of variables : 129 ( 3 sgn 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_02,axiom,
! [X0] : leq(s(zero),host(X0)) ).
fof(axiom_04,axiom,
! [X0] : leq(host(X0),'nbr$uproc') ).
fof(axiom_46,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ) ).
fof(axiom_61,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ) ).
fof(conj,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons('m$uAck'(X1,X3),X0)
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = 'elec$u1'
& host(X5) = host(X7)
& host(X5) = 'nbr$uproc'
& elem('m$uDown'(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem('m$uDown'(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( setIn(host(X7),index(down,host(X6)))
& elem('m$uDown'(X5),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem('m$uDown'(X7),queue(host(X6)))
& elem('m$uDown'(X5),queue(host(X4))) ) )
& ! [X4,X6,X5] :
( ( host(index(elid,host(X5))) = host(X6)
& index(status,host(X5)) = wait
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem('m$uDown'(X4),queue(host(X6))) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem('m$uDown'(X4),queue(host(X6))) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = 'elec$u2'
| index(status,host(X4)) = 'elec$u1' ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( host(X5) = 'nbr$uproc'
=> ~ elem('m$uNotNorm'(X4),queue(host(X5))) )
& ! [X4,X5] :
( elem('m$uDown'(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem('m$uLdr'(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = 'elec$u2'
& index(elid,host(X2)) = X1 )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( index(status,host(X11)) = 'elec$u1'
& host(X11) = 'nbr$uproc'
& host(X11) = host(X9)
& elem('m$uDown'(X10),X0)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X11),X8) )
=> ( X8 = host(X10)
| setIn(X8,index(down,host(X11))) ) ) )
=> ~ ( elem('m$uDown'(X9),queue(host(X4)))
& setIn(X4,alive) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons('m$uAck'(X1,X3),X0)
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = 'elec$u1'
& host(X5) = host(X7)
& host(X5) = 'nbr$uproc'
& elem('m$uDown'(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem('m$uDown'(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( setIn(host(X7),index(down,host(X6)))
& elem('m$uDown'(X5),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem('m$uDown'(X7),queue(host(X6)))
& elem('m$uDown'(X5),queue(host(X4))) ) )
& ! [X4,X6,X5] :
( ( host(index(elid,host(X5))) = host(X6)
& index(status,host(X5)) = wait
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem('m$uDown'(X4),queue(host(X6))) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem('m$uDown'(X4),queue(host(X6))) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = 'elec$u2'
| index(status,host(X4)) = 'elec$u1' ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( host(X5) = 'nbr$uproc'
=> ~ elem('m$uNotNorm'(X4),queue(host(X5))) )
& ! [X4,X5] :
( elem('m$uDown'(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem('m$uLdr'(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = 'elec$u2'
& index(elid,host(X2)) = X1 )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( index(status,host(X11)) = 'elec$u1'
& host(X11) = 'nbr$uproc'
& host(X11) = host(X9)
& elem('m$uDown'(X10),X0)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X11),X8) )
=> ( X8 = host(X10)
| setIn(X8,index(down,host(X11))) ) ) )
=> ~ ( elem('m$uDown'(X9),queue(host(X4)))
& setIn(X4,alive) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[conj]) ).
cnf(c3,plain,
leq(s(zero),host(X0)),
inference(clausification,[status(esa)],[axiom_02]) ).
cnf(c5,plain,
leq(host(X0),'nbr$uproc'),
inference(clausification,[status(esa)],[axiom_04]) ).
cnf(c54,plain,
( ~ elem(X0,X2)
| elem(X0,cons(X1,X2)) ),
inference(clausification,[status(esa)],[axiom_46]) ).
cnf(c90,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[axiom_61]) ).
cnf(c108,plain,
( host(X1) = host(X2)
| ~ setIn(X2,alive)
| host(X3) != host(X2)
| ~ setIn(X1,alive)
| ~ elem('m$uDown'(X3),queue(host(X1)))
| ~ elem('m$uDown'(X0),queue(host(X2)))
| host(X0) != host(X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c109,plain,
( ~ elem('m$uDown'(X2),queue(host(X3)))
| host(X1) = host(X3)
| host(X0) != host(X3)
| ~ setIn(X3,alive)
| host(X2) != host(X1)
| ~ setIn(X1,alive)
| ~ setIn(host(X0),index(down,host(X1))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c114,plain,
queue(host(sK126)) = cons('m$uAck'(sK125,sK127),sK124),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c115,plain,
setIn(sK126,alive),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c117,plain,
host(sK126) != host(sK156),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
host(sK126) = host(sK159),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
( X0 = host(sK158)
| setIn(X0,index(down,host(sK159)))
| ~ leq(s(zero),X0)
| leq(host(sK159),X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
elem('m$uDown'(sK158),sK124),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
host(sK159) = host(sK157),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
host(sK159) = 'nbr$uproc',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c124,plain,
setIn(sK156,alive),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c125,plain,
elem('m$uDown'(sK157),queue(host(sK156))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
host(sK126) = 'nbr$uproc',
inference(demodulation,[status(thm)],[c118,c122]) ).
cnf(d1,plain,
( ~ setIn(sK126,alive)
| ~ setIn(X2,alive)
| ~ elem('m$uDown'(X0),queue(host(X2)))
| ~ elem('m$uDown'(X1),queue(host(sK126)))
| host(sK126) = host(X2)
| host(X1) != host(X2)
| host(X0) != 'nbr$uproc' ),
inference(superposition,[status(thm)],[d0,c108]) ).
cnf(d2,plain,
( ~ setIn(sK126,alive)
| ~ setIn(X1,alive)
| ~ elem('m$uDown'(X2),queue(host(X1)))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| 'nbr$uproc' = host(X1)
| host(X2) != 'nbr$uproc'
| host(X0) != host(X1) ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ setIn(sK126,alive)
| ~ setIn(X1,alive)
| ~ elem('m$uDown'(X2),queue(host(X1)))
| ~ elem('m$uDown'(X0),queue('nbr$uproc'))
| 'nbr$uproc' = host(X1)
| host(X2) != 'nbr$uproc'
| host(X0) != host(X1) ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ setIn(X1,alive)
| ~ elem('m$uDown'(X2),queue(host(X1)))
| ~ elem('m$uDown'(X0),queue('nbr$uproc'))
| 'nbr$uproc' = host(X1)
| host(X2) != 'nbr$uproc'
| host(X0) != host(X1) ),
inference(resolution,[status(thm)],[c115,d3]) ).
cnf(d5,plain,
( ~ leq(s(zero),X0)
| leq(host(sK159),X0)
| setIn(X0,index(down,'nbr$uproc'))
| X0 = host(sK158) ),
inference(demodulation,[status(thm)],[c119,c122]) ).
cnf(d6,plain,
( ~ leq(s(zero),X0)
| leq('nbr$uproc',X0)
| setIn(X0,index(down,'nbr$uproc'))
| X0 = host(sK158) ),
inference(demodulation,[status(thm)],[d5,c122]) ).
cnf(d7,plain,
( ~ setIn(host(X2),index(down,host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ elem('m$uDown'(X0),queue(host(X2)))
| host(X1) = host(X2)
| host(X0) != host(X1) ),
inference(equality_resolution,[status(thm)],[c109]) ).
cnf(d8,plain,
'nbr$uproc' = host(sK157),
inference(demodulation,[status(thm)],[c121,c122]) ).
cnf(d9,plain,
( ~ setIn(host(X1),index(down,host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ~ elem('m$uDown'(sK157),queue(host(X1)))
| host(X0) = host(X1)
| 'nbr$uproc' != host(X0) ),
inference(superposition,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ setIn(host(X0),index(down,host(sK126)))
| ~ setIn(sK126,alive)
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| host(sK126) = host(X0)
| 'nbr$uproc' != 'nbr$uproc' ),
inference(superposition,[status(thm)],[d0,d9]) ).
cnf(d11,plain,
( ~ setIn(sK126,alive)
| ~ setIn(host(X0),index(down,host(sK126)))
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| 'nbr$uproc' != 'nbr$uproc'
| 'nbr$uproc' = host(X0) ),
inference(demodulation,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
( ~ setIn(sK126,alive)
| ~ setIn(host(X0),index(down,'nbr$uproc'))
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| 'nbr$uproc' != 'nbr$uproc'
| 'nbr$uproc' = host(X0) ),
inference(demodulation,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
( ~ setIn(host(X0),index(down,'nbr$uproc'))
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| 'nbr$uproc' != 'nbr$uproc'
| 'nbr$uproc' = host(X0) ),
inference(resolution,[status(thm)],[c115,d12]) ).
cnf(d14,plain,
( ~ setIn(host(X0),index(down,'nbr$uproc'))
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| 'nbr$uproc' = host(X0) ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
( ~ leq(s(zero),host(X0))
| leq('nbr$uproc',host(X0))
| host(X0) = host(sK158)
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| 'nbr$uproc' = host(X0) ),
inference(resolution,[status(thm)],[d14,d6]) ).
cnf(d16,plain,
( leq('nbr$uproc',host(X0))
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK157),queue(host(X0)))
| 'nbr$uproc' = host(X0)
| host(X0) = host(sK158) ),
inference(resolution,[status(thm)],[c3,d15]) ).
cnf(d17,plain,
( leq('nbr$uproc',host(sK156))
| ~ setIn(sK156,alive)
| 'nbr$uproc' = host(sK156)
| host(sK156) = host(sK158) ),
inference(resolution,[status(thm)],[d16,c125]) ).
cnf(d18,plain,
( leq('nbr$uproc',host(sK156))
| 'nbr$uproc' = host(sK156)
| host(sK156) = host(sK158) ),
inference(resolution,[status(thm)],[c124,d17]) ).
cnf(d19,plain,
'nbr$uproc' != host(sK156),
inference(demodulation,[status(thm)],[c117,d0]) ).
cnf(d20,plain,
( leq('nbr$uproc',host(sK156))
| host(sK156) = host(sK158) ),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( leq('nbr$uproc',host(sK156))
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK158),queue('nbr$uproc'))
| ~ elem('m$uDown'(X1),queue(host(X0)))
| 'nbr$uproc' = host(X0)
| host(X1) != 'nbr$uproc'
| host(sK156) != host(X0) ),
inference(superposition,[status(thm)],[d20,d4]) ).
cnf(d22,plain,
( leq('nbr$uproc',host(sK156))
| ~ setIn(sK156,alive)
| ~ elem('m$uDown'(sK158),queue('nbr$uproc'))
| ~ elem('m$uDown'(X0),queue(host(sK156)))
| 'nbr$uproc' = host(sK156)
| host(X0) != 'nbr$uproc' ),
inference(equality_resolution,[status(thm)],[d21]) ).
cnf(d23,plain,
( leq('nbr$uproc',host(sK156))
| ~ elem('m$uDown'(sK158),queue('nbr$uproc'))
| ~ elem('m$uDown'(X0),queue(host(sK156)))
| 'nbr$uproc' = host(sK156)
| host(X0) != 'nbr$uproc' ),
inference(resolution,[status(thm)],[c124,d22]) ).
cnf(d24,plain,
( leq('nbr$uproc',host(sK156))
| ~ elem('m$uDown'(sK158),queue('nbr$uproc'))
| ~ elem('m$uDown'(X0),queue(host(sK156)))
| host(X0) != 'nbr$uproc' ),
inference(resolution,[status(thm)],[d19,d23]) ).
cnf(d25,plain,
( leq('nbr$uproc',host(sK156))
| ~ elem('m$uDown'(sK158),queue('nbr$uproc'))
| ~ elem('m$uDown'(sK157),queue(host(sK156)))
| 'nbr$uproc' != 'nbr$uproc' ),
inference(superposition,[status(thm)],[d8,d24]) ).
cnf(d26,plain,
( leq('nbr$uproc',host(sK156))
| ~ elem('m$uDown'(sK158),queue('nbr$uproc'))
| 'nbr$uproc' != 'nbr$uproc' ),
inference(resolution,[status(thm)],[c125,d25]) ).
cnf(d27,plain,
( leq('nbr$uproc',host(sK156))
| ~ elem('m$uDown'(sK158),queue('nbr$uproc')) ),
inference(equality_resolution,[status(thm)],[d26]) ).
cnf(d28,plain,
queue('nbr$uproc') = cons('m$uAck'(sK125,sK127),sK124),
inference(demodulation,[status(thm)],[c114,d0]) ).
cnf(d29,plain,
( ~ elem(X0,sK124)
| elem(X0,queue('nbr$uproc')) ),
inference(superposition,[status(thm)],[d28,c54]) ).
cnf(d30,plain,
( leq('nbr$uproc',host(sK156))
| ~ elem('m$uDown'(sK158),sK124) ),
inference(resolution,[status(thm)],[d29,d27]) ).
cnf(d31,plain,
leq('nbr$uproc',host(sK156)),
inference(resolution,[status(thm)],[c120,d30]) ).
cnf(d32,plain,
( ~ leq(host(sK156),'nbr$uproc')
| 'nbr$uproc' = host(sK156) ),
inference(resolution,[status(thm)],[c90,d31]) ).
cnf(d33,plain,
~ leq(host(sK156),'nbr$uproc'),
inference(resolution,[status(thm)],[d19,d32]) ).
cnf(d34,plain,
$false,
inference(resolution,[status(thm)],[c5,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV473+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.46 % Computer : n009.cluster.edu
% 0.15/0.46 % Model : x86_64 x86_64
% 0.15/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.46 % Memory : 8046.5625MB
% 0.15/0.46 % OS : Linux 6.8.0-71-generic
% 0.15/0.46 % CPULimit : 300
% 0.15/0.46 % WCLimit : 300
% 0.15/0.46 % DateTime : Sat Sep 26 13:56:45 UTC 2026
% 0.15/0.46 % CPUTime :
% 0.15/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.63/8.90 % SZS status Theorem for theBenchmark.p
% 33.63/8.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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