%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV169+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 09:01:33 AM UTC 2026
% Result : Theorem 17.54s 4.20s
% Output : CNFRefutation 17.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 66 ( 16 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 62 ( 5 ~; 3 |; 38 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0021,conjecture,
( ( ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect3'('center$uinit',X6,n0) = init )
& ! [X4] :
( ( leq(X4,pred(pv10))
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect3'('q$uinit',X4,X5) = init ) )
& ! [X2,X3] :
( ( leq(X3,n4)
& leq(X2,n135299)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv10,X2)
=> 'a$uselect3'('q$uinit',X2,X3) = init ) )
& ! [X0,X1] :
( ( leq(X1,n4)
& leq(X0,n135299)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( gt(pv11,X1)
& X0 = pv10 )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> 'a$uselect3'('center$uinit',pv65,n0) = init ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect3'('center$uinit',X6,n0) = init )
& ! [X4] :
( ( leq(X4,pred(pv10))
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect3'('q$uinit',X4,X5) = init ) )
& ! [X2,X3] :
( ( leq(X3,n4)
& leq(X2,n135299)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv10,X2)
=> 'a$uselect3'('q$uinit',X2,X3) = init ) )
& ! [X0,X1] :
( ( leq(X1,n4)
& leq(X0,n135299)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( gt(pv11,X1)
& X0 = pv10 )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> 'a$uselect3'('center$uinit',pv65,n0) = init ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0021]) ).
cnf(c165,plain,
leq(n0,pv65),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
leq(pv65,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c172,plain,
( 'a$uselect3'('center$uinit',X0,n0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c173,plain,
'a$uselect3'('center$uinit',pv65,n0) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(pv65,n4)
| 'a$uselect3'('center$uinit',pv65,n0) = init ),
inference(resolution,[status(thm)],[c172,c165]) ).
cnf(d1,plain,
'a$uselect3'('center$uinit',pv65,n0) = init,
inference(resolution,[status(thm)],[c168,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c173,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV169+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:17:44 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.54/4.20 % SZS status Theorem for theBenchmark.p
% 17.54/4.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------