%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV187+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 : n019.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 09:01:36 AM UTC 2026
% Result : Theorem 11.16s 4.19s
% Output : CNFRefutation 11.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 63 ( 17 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 60 ( 8 ~; 6 |; 24 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0111,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('sigmaold$uinit',X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('rhoold$uinit',X4) = init ) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect2'('muold$uinit',X3) = init ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect3'('center$uinit',X2,n0) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& gt(loopcounter,n1) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('sigmaold$uinit',X6) = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('sigmaold$uinit',X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('rhoold$uinit',X4) = init ) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect2'('muold$uinit',X3) = init ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect3'('center$uinit',X2,n0) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& gt(loopcounter,n1) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('sigmaold$uinit',X6) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0111]) ).
cnf(c163,plain,
gt(loopcounter,n1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
( 'a$uselect2'('sigmaold$uinit',X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
leq(n0,sK187),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
leq(sK187,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c171,plain,
'a$uselect2'('sigmaold$uinit',sK187) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| 'a$uselect2'('sigmaold$uinit',X0) = init ),
inference(resolution,[status(thm)],[c163,c168]) ).
cnf(d1,plain,
( ~ leq(sK187,n4)
| 'a$uselect2'('sigmaold$uinit',sK187) = init ),
inference(resolution,[status(thm)],[d0,c169]) ).
cnf(d2,plain,
'a$uselect2'('sigmaold$uinit',sK187) = init,
inference(resolution,[status(thm)],[c170,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c171,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV187+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
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:19:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.16/4.19 % SZS status Theorem for theBenchmark.p
% 11.16/4.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------