%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM322+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 08:11:04 AM UTC 2026
% Result : Theorem 34.85s 8.76s
% Output : CNFRefutation 34.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn5,axiom,
'rdn$utranslate'(n5,'rdn$upos'(rdnn(n5))) ).
fof(rdnn5,axiom,
'rdn$utranslate'(nn5,'rdn$uneg'(rdnn(n5))) ).
fof(sum_entry_point_posx_negx,axiom,
! [X0,X1,X2] :
( ( 'rdn$utranslate'(X1,'rdn$uneg'(X2))
& 'rdn$utranslate'(X0,'rdn$upos'(X2)) )
=> sum(X0,X1,n0) ) ).
fof(sum_n5_nn5_what,conjecture,
? [X0] : sum(n5,nn5,X0) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] : sum(n5,nn5,X0),
inference(negate_conjecture,[status(cth)],[sum_n5_nn5_what]) ).
cnf(c5,plain,
'rdn$utranslate'(n5,'rdn$upos'(rdnn(n5))),
inference(clausification,[status(esa)],[rdn5]) ).
cnf(c10,plain,
'rdn$utranslate'(nn5,'rdn$uneg'(rdnn(n5))),
inference(clausification,[status(esa)],[rdnn5]) ).
cnf(c26,plain,
( sum(X0,X2,n0)
| ~ 'rdn$utranslate'(X2,'rdn$uneg'(X1))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1)) ),
inference(clausification,[status(esa)],[sum_entry_point_posx_negx]) ).
cnf(c136,plain,
~ sum(n5,nn5,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sum(n5,X0,n0)
| ~ 'rdn$utranslate'(X0,'rdn$uneg'(rdnn(n5))) ),
inference(resolution,[status(thm)],[c26,c5]) ).
cnf(d1,plain,
sum(n5,nn5,n0),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c136,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM322+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 02:26:47 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.85/8.76 % SZS status Theorem for theBenchmark.p
% 34.85/8.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------