%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV065+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 : 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 09:01:21 AM UTC 2026
% Result : Theorem 15.32s 2.39s
% Output : CNFRefutation 15.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 10 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 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_0006,conjecture,
( ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0006]) ).
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(pv10,minus(n135300,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
leq(pv53,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c163,c167]) ).
cnf(d1,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c164,d0]) ).
cnf(d2,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[c165,d1]) ).
cnf(d3,plain,
~ leq(n0,n0),
inference(resolution,[status(thm)],[c166,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c42,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV065+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
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 13:13:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.32/2.39 % SZS status Theorem for theBenchmark.p
% 15.32/2.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------