%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV062+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 : n001.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 09:01:20 AM UTC 2026
% Result : Theorem 8.13s 2.31s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 59 ( 22 ~; 15 |; 20 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0003,conjecture,
( ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0003]) ).
cnf(c163,plain,
leq(n0,pv10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
leq(n0,pv41),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
leq(n0,pv43),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
leq(pv10,minus(n135300,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
leq(pv41,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
leq(pv43,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41)
| ~ leq(pv43,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(pv41,minus(n5,n1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41) ),
inference(resolution,[status(thm)],[c163,c169]) ).
cnf(d1,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43) ),
inference(resolution,[status(thm)],[c164,d0]) ).
cnf(d2,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(resolution,[status(thm)],[c165,d1]) ).
cnf(d3,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1)) ),
inference(resolution,[status(thm)],[c166,d2]) ).
cnf(d4,plain,
~ leq(pv43,minus(n5,n1)),
inference(resolution,[status(thm)],[c167,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c168,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV062+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
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:16:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.13/2.31 % SZS status Theorem for theBenchmark.p
% 8.13/2.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------