%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV455+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 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 : Sun Sep 27 09:02:27 AM UTC 2026
% Result : Theorem 31.04s 10.26s
% Output : CNFRefutation 31.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 151 ( 59 equ)
% Maximal formula atoms : 46 ( 5 avg)
% Number of connectives : 201 ( 76 ~; 40 |; 50 &)
% ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 75 ( 3 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_46,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ) ).
fof(conj,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons('m$uDown'(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem('m$uDown'(X7),queue(host(X6)))
& elem('m$uDown'(X5),queue(host(X4))) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& leq(X5,X4)
& ~ setIn(X4,alive) )
=> ~ setIn(X5,alive) )
& ! [X4,X6,X5] :
( elem('m$uAck'(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem('m$uHalt'(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem('m$uDown'(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem('m$uDown'(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( setIn(X5,alive)
=> ~ elem('m$uDown'(X5),queue(host(X4))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ~ ( index(status,host(X2)) = 'elec$u1'
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8,X9] :
( host(X2) = host(X9)
=> ! [X10] :
( ( host(X10) = host(X9)
& host(X8) = host(X4)
& setIn(X9,alive)
& setIn(X4,alive)
& host(X9) != host(X4) )
=> ~ ( elem('m$uDown'(X10),queue(host(X4)))
& elem('m$uDown'(X8),X0) ) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons('m$uDown'(X3),X0)
& ! [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,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& leq(X5,X4)
& ~ setIn(X4,alive) )
=> ~ setIn(X5,alive) )
& ! [X4,X6,X5] :
( elem('m$uAck'(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem('m$uHalt'(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem('m$uDown'(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem('m$uDown'(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( setIn(X5,alive)
=> ~ elem('m$uDown'(X5),queue(host(X4))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ~ ( index(status,host(X2)) = 'elec$u1'
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8,X9] :
( host(X2) = host(X9)
=> ! [X10] :
( ( host(X10) = host(X9)
& host(X8) = host(X4)
& setIn(X9,alive)
& setIn(X4,alive)
& host(X9) != host(X4) )
=> ~ ( elem('m$uDown'(X10),queue(host(X4)))
& elem('m$uDown'(X8),X0) ) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[conj]) ).
cnf(c54,plain,
( ~ elem(X0,X2)
| elem(X0,cons(X1,X2)) ),
inference(clausification,[status(esa)],[axiom_46]) ).
cnf(c100,plain,
( host(X2) = host(X0)
| ~ elem('m$uDown'(X3),queue(host(X0)))
| ~ elem('m$uDown'(X1),queue(host(X2)))
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| host(X2) != host(X3)
| host(X0) != host(X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c101,plain,
cons('m$uDown'(sK127),sK124) = queue(host(sK126)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c111,plain,
host(sK146) != host(sK126),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c112,plain,
host(sK148) = host(sK126),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c113,plain,
setIn(sK146,alive),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c114,plain,
host(sK146) = host(sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c115,plain,
host(sK148) = host(sK149),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
elem('m$uDown'(sK149),queue(host(sK146))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
elem('m$uDown'(sK147),sK124),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
setIn(sK126,alive),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
host(sK126) = host(sK149),
inference(demodulation,[status(thm)],[c115,c112]) ).
cnf(d1,plain,
( ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ~ elem('m$uDown'(X2),queue(host(X0)))
| ~ elem('m$uDown'(sK149),queue(host(X1)))
| host(X1) != host(X2)
| host(X1) = host(X0)
| host(X0) != host(sK126) ),
inference(superposition,[status(thm)],[d0,c100]) ).
cnf(d2,plain,
( ~ setIn(sK126,alive)
| ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK149),queue(host(X0)))
| ~ elem('m$uDown'(X1),queue(host(sK126)))
| host(X0) = host(sK126)
| host(X0) != host(X1) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK149),queue(host(X0)))
| ~ elem('m$uDown'(X1),queue(host(sK126)))
| host(X0) = host(sK126)
| host(X0) != host(X1) ),
inference(resolution,[status(thm)],[c122,d2]) ).
cnf(d4,plain,
( ~ setIn(X0,alive)
| ~ elem('m$uDown'(sK149),queue(host(X0)))
| ~ elem('m$uDown'(sK147),queue(host(sK126)))
| host(X0) = host(sK126)
| host(X0) != host(sK146) ),
inference(superposition,[status(thm)],[c114,d3]) ).
cnf(d5,plain,
( ~ setIn(sK146,alive)
| ~ elem('m$uDown'(sK149),queue(host(sK146)))
| ~ elem('m$uDown'(sK147),queue(host(sK126)))
| host(sK146) = host(sK126) ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ elem('m$uDown'(sK149),queue(host(sK146)))
| ~ elem('m$uDown'(sK147),queue(host(sK126)))
| host(sK146) = host(sK126) ),
inference(resolution,[status(thm)],[c113,d5]) ).
cnf(d7,plain,
( ~ elem('m$uDown'(sK149),queue(host(sK146)))
| ~ elem('m$uDown'(sK147),queue(host(sK126))) ),
inference(resolution,[status(thm)],[c111,d6]) ).
cnf(d8,plain,
~ elem('m$uDown'(sK147),queue(host(sK126))),
inference(resolution,[status(thm)],[c118,d7]) ).
cnf(d9,plain,
( ~ elem(X0,sK124)
| elem(X0,queue(host(sK126))) ),
inference(superposition,[status(thm)],[c101,c54]) ).
cnf(d10,plain,
~ elem('m$uDown'(sK147),sK124),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c119,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV455+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/6.22 % Computer : n001.cluster.edu
% 0.12/6.22 % Model : x86_64 x86_64
% 0.12/6.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.22 % Memory : 8046.5625MB
% 0.12/6.22 % OS : Linux 6.8.0-71-generic
% 0.12/6.22 % CPULimit : 300
% 0.12/6.22 % WCLimit : 300
% 0.12/6.22 % DateTime : Sat Sep 26 14:00:49 UTC 2026
% 0.12/6.23 % CPUTime :
% 0.12/6.23 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.04/10.26 % SZS status Theorem for theBenchmark.p
% 31.04/10.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------