%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV153+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 : n015.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 09:01:31 AM UTC 2026
% Result : Theorem 32.56s 10.60s
% Output : CNFRefutation 32.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 64 ( 23 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 63 ( 21 ~; 11 |; 19 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_gt2,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(cl5_nebula_norm_0003,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,pv12)
& leq(n0,X2) )
=> ( pv12 != X2
=> 'a$uselect3'(q,pv10,X2) = divide(sqrt(times(minus('a$uselect3'(center,X2,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X2,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$uselect2'(x,pv10)))))) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> sum(n0,n4,'a$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$uselect2'(x,pv10))))) )
=> ! [X2] :
( ( leq(X2,pv12)
& leq(n0,X2) )
=> ( pv12 != X2
=> 'a$uselect3'(q,pv10,X2) = divide(sqrt(times(minus('a$uselect3'(center,X2,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X2,n0),'a$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)))))) ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0003]) ).
cnf(c49,plain,
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt2]) ).
cnf(c51,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c163,plain,
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))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
( '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$uselect2'(x,pv10))))))
| ~ leq(X0,pred(pv12))
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
leq(n0,sK183),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c171,plain,
leq(sK183,pv12),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c172,plain,
pv12 != sK183,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c173,plain,
'a$uselect3'(q,pv10,sK183) != divide(sqrt(times(minus('a$uselect3'(center,sK183,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,sK183,n0),'a$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)))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( gt(pv12,sK183)
| sK183 = pv12 ),
inference(resolution,[status(thm)],[c49,c171]) ).
cnf(d1,plain,
'a$uselect3'(q,pv10,sK183) != divide(sqrt(times(minus('a$uselect3'(center,sK183,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,sK183,n0),'a$uselect2'(x,pv10)))),pv70),
inference(demodulation,[status(thm)],[c173,c163]) ).
cnf(d2,plain,
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv12))
| 'a$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)))),pv70) ),
inference(demodulation,[status(thm)],[c168,c163]) ).
cnf(d3,plain,
( ~ leq(n0,sK183)
| ~ leq(sK183,pred(pv12))
| 'a$uselect3'(q,pv10,sK183) != 'a$uselect3'(q,pv10,sK183) ),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ leq(sK183,pred(pv12))
| 'a$uselect3'(q,pv10,sK183) != 'a$uselect3'(q,pv10,sK183) ),
inference(resolution,[status(thm)],[c170,d3]) ).
cnf(d5,plain,
~ leq(sK183,pred(pv12)),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
~ gt(pv12,sK183),
inference(resolution,[status(thm)],[c51,d5]) ).
cnf(d7,plain,
sK183 = pv12,
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
sK183 != sK183,
inference(demodulation,[status(thm)],[c172,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV153+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n015.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 13:19:35 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.56/10.60 % SZS status Theorem for theBenchmark.p
% 32.56/10.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------