%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV183+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 : n005.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 09:01:35 AM UTC 2026
% Result : Theorem 17.38s 4.26s
% Output : CNFRefutation 17.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 94 ( 28 equ)
% Maximal formula atoms : 42 ( 10 avg)
% Number of connectives : 90 ( 5 ~; 3 |; 48 &)
% ( 0 <=>; 34 =>; 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 : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0091,conjecture,
( ( ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> 'a$uselect2'('sigmaold$uinit',X11) = init )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> 'a$uselect2'('rhoold$uinit',X10) = init )
& ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> 'a$uselect2'('muold$uinit',X9) = init )
& ( 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,n4)
& leq(n0,X4) )
=> 'a$uselect2'('sigma$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,n4)
& 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 ) )
& gt(loopcounter,n0) )
=> ! [X12] :
( ( leq(X12,n4)
& leq(n0,X12) )
=> 'a$uselect2'('mu$uinit',X12) = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> 'a$uselect2'('sigmaold$uinit',X11) = init )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> 'a$uselect2'('rhoold$uinit',X10) = init )
& ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> 'a$uselect2'('muold$uinit',X9) = init )
& ( 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,n4)
& leq(n0,X4) )
=> 'a$uselect2'('sigma$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,n4)
& 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 ) )
& gt(loopcounter,n0) )
=> ! [X12] :
( ( leq(X12,n4)
& leq(n0,X12) )
=> 'a$uselect2'('mu$uinit',X12) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0091]) ).
cnf(c166,plain,
( 'a$uselect2'('mu$uinit',X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c175,plain,
leq(n0,sK193),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c176,plain,
leq(sK193,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c177,plain,
'a$uselect2'('mu$uinit',sK193) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK193,n4)
| 'a$uselect2'('mu$uinit',sK193) = init ),
inference(resolution,[status(thm)],[c166,c175]) ).
cnf(d1,plain,
'a$uselect2'('mu$uinit',sK193) = init,
inference(resolution,[status(thm)],[c176,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c177,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV183+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 13:18:16 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.38/4.26 % SZS status Theorem for theBenchmark.p
% 17.38/4.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------