%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV174+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 : n006.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 30.60s 4.33s
% Output : CNFRefutation 30.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 63 ( 12 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 69 ( 23 ~; 15 |; 18 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(cl5_nebula_init_0046,conjecture,
( ( ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect3'('center$uinit',X2,n0) = init )
& ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X3,X4] :
( ( leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
=> ( gt(pv10,X3)
=> 'a$uselect3'('q$uinit',X3,X4) = init ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect3'('center$uinit',X2,n0) = init )
& ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X3,X4] :
( ( leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
=> ( gt(pv10,X3)
=> 'a$uselect3'('q$uinit',X3,X4) = init ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0046]) ).
cnf(c51,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c165,plain,
( 'a$uselect3'('q$uinit',X0,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
leq(n0,sK184),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
leq(n0,sK185),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
leq(sK185,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c171,plain,
gt(pv10,sK184),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c172,plain,
'a$uselect3'('q$uinit',sK184,sK185) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(n0,sK185)
| ~ leq(n0,sK184)
| ~ leq(sK185,n4)
| ~ leq(sK184,pred(pv10))
| init != init ),
inference(superposition,[status(thm)],[c165,c172]) ).
cnf(d1,plain,
( ~ leq(sK185,n4)
| ~ leq(sK184,pred(pv10))
| ~ leq(n0,sK185)
| init != init ),
inference(resolution,[status(thm)],[c167,d0]) ).
cnf(d2,plain,
( ~ leq(sK185,n4)
| ~ leq(sK184,pred(pv10))
| init != init ),
inference(resolution,[status(thm)],[c168,d1]) ).
cnf(d3,plain,
( ~ leq(sK184,pred(pv10))
| init != init ),
inference(resolution,[status(thm)],[c170,d2]) ).
cnf(d4,plain,
~ leq(sK184,pred(pv10)),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
~ gt(pv10,sK184),
inference(resolution,[status(thm)],[c51,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c171,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV174+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
% 0.09/0.38 % Computer : n006.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 13:17:43 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.60/4.33 % SZS status Theorem for theBenchmark.p
% 30.60/4.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------