%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV077+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 : n008.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 09:01:22 AM UTC 2026
% Result : Theorem 13.77s 2.26s
% Output : CNFRefutation 13.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 29 ( 4 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 28 ( 9 ~; 3 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ttrue,axiom,
true ).
fof(cl5_nebula_array_0018,conjecture,
( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0018]) ).
cnf(c154,plain,
true,
inference(clausification,[status(esa)],[ttrue]) ).
cnf(c156,plain,
leq(n0,pv31),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c157,plain,
leq(pv31,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c161,plain,
( ~ true
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ true
| ~ leq(pv31,minus(n5,n1)) ),
inference(resolution,[status(thm)],[c156,c161]) ).
cnf(d1,plain,
~ true,
inference(resolution,[status(thm)],[c157,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 13:11:39 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.77/2.26 % SZS status Theorem for theBenchmark.p
% 13.77/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------