%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV156+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 : n002.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 09:01:32 AM UTC 2026
% Result : Theorem 18.59s 8.20s
% Output : CNFRefutation 18.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 41 ( 11 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 34 ( 4 ~; 1 |; 18 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(cl5_nebula_norm_0006,conjecture,
( ( ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> sum(n0,n4,'a$uselect3'(q,X1,'tptp$usum$uindex')) = n1 )
& ! [X0] :
( ( leq(X0,pred(pv12))
& leq(n0,X0) )
=> 'a$uselect3'(q,pv10,X0) = divide(sqrt(times(minus('a$uselect3'(center,X0,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X0,n0),'a$uselect2'(x,pv10)))),sum(n0,n4,sqrt(times(minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10))))) )
=> ! [X2] :
( ( leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 = X2
=> sum(n0,n4,cond('tptp$uterm$uequals'(pv12,'tptp$usum$uindex'),divide(sqrt(times(minus('a$uselect3'(center,pv12,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,pv12,n0),'a$uselect2'(x,pv10)))),pv70),'a$uselect3'(q,X2,'tptp$usum$uindex'))) = n1 ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> sum(n0,n4,'a$uselect3'(q,X1,'tptp$usum$uindex')) = n1 )
& ! [X0] :
( ( leq(X0,pred(pv12))
& leq(n0,X0) )
=> 'a$uselect3'(q,pv10,X0) = divide(sqrt(times(minus('a$uselect3'(center,X0,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X0,n0),'a$uselect2'(x,pv10)))),sum(n0,n4,sqrt(times(minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,'tptp$usum$uindex',n0),'a$uselect2'(x,pv10))))) )
=> ! [X2] :
( ( leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 = X2
=> sum(n0,n4,cond('tptp$uterm$uequals'(pv12,'tptp$usum$uindex'),divide(sqrt(times(minus('a$uselect3'(center,pv12,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,pv12,n0),'a$uselect2'(x,pv10)))),pv70),'a$uselect3'(q,X2,'tptp$usum$uindex'))) = n1 ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0006]) ).
cnf(c41,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c50,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c171,plain,
leq(sK183,pred(pv10)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c172,plain,
pv10 = sK183,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(pv10,pred(pv10)),
inference(demodulation,[status(thm)],[c171,c172]) ).
cnf(d1,plain,
gt(pv10,pv10),
inference(resolution,[status(thm)],[c50,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c41,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV156+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
% 0.09/5.38 % Computer : n002.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 26 13:19:42 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.59/8.20 % SZS status Theorem for theBenchmark.p
% 18.59/8.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------