%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV168+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 : n012.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 16.09s 7.36s
% Output : CNFRefutation 16.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 91 ( 26 equ)
% Maximal formula atoms : 35 ( 7 avg)
% Number of connectives : 90 ( 12 ~; 10 |; 42 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0016,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> 'a$uselect2'('sigmaold$uinit',X8) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> 'a$uselect2'('rhoold$uinit',X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('muold$uinit',X6) = init ) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect3'('center$uinit',X5,n0) = init )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> 'a$uselect2'('sigma$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,pred(pv40))
& leq(n0,X3) )
=> 'a$uselect2'('mu$uinit',X3) = init )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect2'('rho$uinit',X2) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& 'a$uselect2'('mu$uinit',pv40) = init )
=> 'a$uselect3'('q$uinit',pv46,pv40) = init ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> 'a$uselect2'('sigmaold$uinit',X8) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> 'a$uselect2'('rhoold$uinit',X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('muold$uinit',X6) = init ) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect3'('center$uinit',X5,n0) = init )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> 'a$uselect2'('sigma$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,pred(pv40))
& leq(n0,X3) )
=> 'a$uselect2'('mu$uinit',X3) = init )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect2'('rho$uinit',X2) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& 'a$uselect2'('mu$uinit',pv40) = init )
=> 'a$uselect3'('q$uinit',pv46,pv40) = init ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0016]) ).
cnf(c164,plain,
leq(n0,pv40),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
leq(n0,pv46),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
leq(pv40,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
leq(pv46,n135299),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
( 'a$uselect3'('q$uinit',X0,X1) = init
| ~ leq(X0,n135299)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c176,plain,
'a$uselect3'('q$uinit',pv46,pv40) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(n0,X0)
| ~ leq(pv46,n135299)
| ~ leq(X0,n4)
| 'a$uselect3'('q$uinit',pv46,X0) = init ),
inference(resolution,[status(thm)],[c168,c165]) ).
cnf(d1,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| 'a$uselect3'('q$uinit',pv46,X0) = init ),
inference(resolution,[status(thm)],[c167,d0]) ).
cnf(d2,plain,
( ~ leq(pv40,n4)
| 'a$uselect3'('q$uinit',pv46,pv40) = init ),
inference(resolution,[status(thm)],[d1,c164]) ).
cnf(d3,plain,
'a$uselect3'('q$uinit',pv46,pv40) = init,
inference(resolution,[status(thm)],[c166,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c176,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Sat Sep 26 13:17:41 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.09/7.36 % SZS status Theorem for theBenchmark.p
% 16.09/7.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------