%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM304+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 : n009.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 18.02s 3.70s
% Output : CNFRefutation 18.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 4 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 13 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn0,axiom,
'rdn$utranslate'(n0,'rdn$upos'(rdnn(n0))) ).
fof(rdnn32,axiom,
'rdn$utranslate'(nn32,'rdn$uneg'(rdn(rdnn(n2),rdnn(n3)))) ).
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(less_property,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X1 != X0
& ~ less(X1,X0) ) ) ).
fof(something_not_n12,conjecture,
? [X0] : X0 != n12 ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] : X0 != n12,
inference(negate_conjecture,[status(cth)],[something_not_n12]) ).
cnf(c0,plain,
'rdn$utranslate'(n0,'rdn$upos'(rdnn(n0))),
inference(clausification,[status(esa)],[rdn0]) ).
cnf(c159,plain,
'rdn$utranslate'(nn32,'rdn$uneg'(rdn(rdnn(n2),rdnn(n3)))),
inference(clausification,[status(esa)],[rdnn32]) ).
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(c284,plain,
( X1 != X0
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_property]) ).
cnf(c406,plain,
X0 = n12,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
X1 = X0,
inference(superposition,[status(thm)],[c406,c406]) ).
cnf(d1,plain,
~ less(X0,X1),
inference(resolution,[status(thm)],[d0,c284]) ).
cnf(d2,plain,
( ~ 'rdn$utranslate'(X2,'rdn$upos'(X3))
| ~ 'rdn$utranslate'(X0,'rdn$uneg'(X1)) ),
inference(resolution,[status(thm)],[d1,c281]) ).
cnf(d3,plain,
~ 'rdn$utranslate'(X0,'rdn$upos'(X1)),
inference(resolution,[status(thm)],[d2,c159]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM304+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 02:25:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.02/3.70 % SZS status Theorem for theBenchmark.p
% 18.02/3.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------