%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM302+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:11:02 AM UTC 2026
% Result : Theorem 19.77s 3.07s
% Output : CNFRefutation 19.77s
% 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 : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 4 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn28,axiom,
'rdn$utranslate'(n28,'rdn$upos'(rdn(rdnn(n8),rdnn(n2)))) ).
fof(rdnn2,axiom,
'rdn$utranslate'(nn2,'rdn$uneg'(rdnn(n2))) ).
fof(less_entry_point_neg_pos,axiom,
! [X0,X1,X2,X3] :
( ( 'rdn$utranslate'(X1,'rdn$upos'(X3))
& 'rdn$utranslate'(X0,'rdn$uneg'(X2)) )
=> less(X0,X1) ) ).
fof(nn2_less_something,conjecture,
? [X0] : less(nn2,X0) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] : less(nn2,X0),
inference(negate_conjecture,[status(cth)],[nn2_less_something]) ).
cnf(c28,plain,
'rdn$utranslate'(n28,'rdn$upos'(rdn(rdnn(n8),rdnn(n2)))),
inference(clausification,[status(esa)],[rdn28]) ).
cnf(c129,plain,
'rdn$utranslate'(nn2,'rdn$uneg'(rdnn(n2))),
inference(clausification,[status(esa)],[rdnn2]) ).
cnf(c281,plain,
( less(X0,X2)
| ~ 'rdn$utranslate'(X2,'rdn$upos'(X3))
| ~ 'rdn$utranslate'(X0,'rdn$uneg'(X1)) ),
inference(clausification,[status(esa)],[less_entry_point_neg_pos]) ).
cnf(c406,plain,
~ less(nn2,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( less(X0,n28)
| ~ 'rdn$utranslate'(X0,'rdn$uneg'(X1)) ),
inference(resolution,[status(thm)],[c281,c28]) ).
cnf(d1,plain,
less(nn2,n28),
inference(resolution,[status(thm)],[d0,c129]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c406,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM302+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.49 % Computer : n014.cluster.edu
% 0.08/0.49 % Model : x86_64 x86_64
% 0.08/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.49 % Memory : 8046.5625MB
% 0.08/0.49 % OS : Linux 6.8.0-71-generic
% 0.08/0.50 % CPULimit : 300
% 0.08/0.50 % WCLimit : 300
% 0.08/0.50 % DateTime : Sat Sep 26 02:25:02 UTC 2026
% 0.08/0.50 % CPUTime :
% 0.08/0.50 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.77/3.07 % SZS status Theorem for theBenchmark.p
% 19.77/3.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------