%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV064+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 : n007.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 20.97s 3.56s
% Output : CNFRefutation 20.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 74 ( 29 ~; 21 |; 22 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_leq,axiom,
! [X0] : leq(X0,X0) ).
fof(cl5_nebula_array_0005,conjecture,
( ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0005]) ).
cnf(c42,plain,
leq(X0,X0),
inference(clausification,[status(esa)],[reflexivity_leq]) ).
cnf(c163,plain,
leq(n0,pv10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
leq(n0,pv53),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
leq(n0,pv54),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
leq(pv10,minus(n135300,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
leq(pv53,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
leq(pv54,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
( ~ leq(n0,n0)
| ~ leq(n0,pv54)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,pv53)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c163,c169]) ).
cnf(d1,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c164,d0]) ).
cnf(d2,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c165,d1]) ).
cnf(d3,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c166,d2]) ).
cnf(d4,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c167,d3]) ).
cnf(d5,plain,
~ leq(n0,n0),
inference(resolution,[status(thm)],[c168,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c42,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV064+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n007.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 13:08:23 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.97/3.56 % SZS status Theorem for theBenchmark.p
% 20.97/3.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------