%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV162+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 09:01:33 AM UTC 2026
% Result : Theorem 34.93s 10.34s
% Output : CNFRefutation 34.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 48 ( 17 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 44 ( 16 ~; 9 |; 11 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn 8 !; 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_0012,conjecture,
( ( ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> sum(n0,n4,'a$uselect3'(q,X0,'tptp$usum$uindex')) = n1 )
& leq(pv10,n135299)
& leq(n0,pv10)
& sum(n0,n4,'a$uselect3'(q,pv10,'tptp$usum$uindex')) = n1 )
=> ! [X1] :
( ( leq(X1,pv10)
& leq(n0,X1) )
=> sum(n0,n4,'a$uselect3'(q,X1,'tptp$usum$uindex')) = n1 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> sum(n0,n4,'a$uselect3'(q,X0,'tptp$usum$uindex')) = n1 )
& leq(pv10,n135299)
& leq(n0,pv10)
& sum(n0,n4,'a$uselect3'(q,pv10,'tptp$usum$uindex')) = n1 )
=> ! [X1] :
( ( leq(X1,pv10)
& leq(n0,X1) )
=> sum(n0,n4,'a$uselect3'(q,X1,'tptp$usum$uindex')) = n1 ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0012]) ).
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,
sum(n0,n4,'a$uselect3'(q,pv10,'tptp$usum$uindex')) = n1,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
( sum(n0,n4,'a$uselect3'(q,X0,'tptp$usum$uindex')) = n1
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
leq(n0,sK182),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
leq(sK182,pv10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
sum(n0,n4,'a$uselect3'(q,sK182,'tptp$usum$uindex')) != n1,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( gt(pv10,sK182)
| sK182 = pv10 ),
inference(resolution,[status(thm)],[c49,c168]) ).
cnf(d1,plain,
( ~ leq(n0,sK182)
| ~ leq(sK182,pred(pv10))
| n1 != n1 ),
inference(superposition,[status(thm)],[c166,c169]) ).
cnf(d2,plain,
( ~ leq(sK182,pred(pv10))
| n1 != n1 ),
inference(resolution,[status(thm)],[c167,d1]) ).
cnf(d3,plain,
~ leq(sK182,pred(pv10)),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
~ gt(pv10,sK182),
inference(resolution,[status(thm)],[c51,d3]) ).
cnf(d5,plain,
sK182 = pv10,
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
sum(n0,n4,'a$uselect3'(q,pv10,'tptp$usum$uindex')) != n1,
inference(demodulation,[status(thm)],[c169,d5]) ).
cnf(d7,plain,
n1 != n1,
inference(demodulation,[status(thm)],[d6,c163]) ).
cnf(d8,plain,
$false,
inference(equality_resolution,[status(thm)],[d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV162+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
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:17:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.93/10.34 % SZS status Theorem for theBenchmark.p
% 34.93/10.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------