%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:13:00 AM UTC 2026
% Result : Theorem 7.23s 2.41s
% Output : CNFRefutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2449,hypothesis,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ) ).
fof(m__2487,hypothesis,
~ doDivides0(xr,xn) ).
fof(m__2698,hypothesis,
~ doDivides0(xr,xm) ).
cnf(c94,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(clausification,[status(esa)],[m__2449]) ).
cnf(c95,plain,
~ doDivides0(xr,xn),
inference(clausification,[status(esa)],[m__2487]) ).
cnf(c96,plain,
~ doDivides0(xr,xm),
inference(clausification,[status(esa)],[m__2698]) ).
cnf(d0,plain,
doDivides0(xr,xm),
inference(resolution,[status(thm)],[c95,c94]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c96,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 03:07:54 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.23/2.41 % SZS status Theorem for theBenchmark.p
% 7.23/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------