%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV175+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 09:01:34 AM UTC 2026
% Result : Theorem 17.24s 3.35s
% Output : CNFRefutation 17.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 77 ( 20 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 76 ( 12 ~; 10 |; 32 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0051,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('sigmaold$uinit',X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('rhoold$uinit',X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('muold$uinit',X4) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect3'('center$uinit',X3,n0) = init )
& ! [X2] :
( ( leq(X2,pred(pv28))
& 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(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) )
=> 'a$uselect3'('q$uinit',pv30,pv28) = init ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('sigmaold$uinit',X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('rhoold$uinit',X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('muold$uinit',X4) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect3'('center$uinit',X3,n0) = init )
& ! [X2] :
( ( leq(X2,pred(pv28))
& 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(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) )
=> 'a$uselect3'('q$uinit',pv30,pv28) = init ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0051]) ).
cnf(c163,plain,
leq(n0,pv28),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
leq(n0,pv30),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
leq(pv28,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
leq(pv30,n135299),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,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(c173,plain,
'a$uselect3'('q$uinit',pv30,pv28) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(n0,X0)
| ~ leq(pv30,n135299)
| ~ leq(X0,n4)
| 'a$uselect3'('q$uinit',pv30,X0) = init ),
inference(resolution,[status(thm)],[c167,c164]) ).
cnf(d1,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| 'a$uselect3'('q$uinit',pv30,X0) = init ),
inference(resolution,[status(thm)],[c166,d0]) ).
cnf(d2,plain,
( ~ leq(pv28,n4)
| 'a$uselect3'('q$uinit',pv30,pv28) = init ),
inference(resolution,[status(thm)],[d1,c163]) ).
cnf(d3,plain,
'a$uselect3'('q$uinit',pv30,pv28) = init,
inference(resolution,[status(thm)],[c165,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c173,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV175+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 13:15:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.24/3.35 % SZS status Theorem for theBenchmark.p
% 17.24/3.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------