%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 08:12:39 AM UTC 2026
% Result : Theorem 10.00s 1.86s
% Output : CNFRefutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 3 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_ordinal1,axiom,
! [X0] :
( ( 'epsilon$uconnected'(X0)
& 'epsilon$utransitive'(X0) )
=> ordinal(X0) ) ).
fof(l18_ordinal1,axiom,
( 'epsilon$uconnected'('empty$uset')
& 'epsilon$utransitive'('empty$uset') ) ).
fof(t27_ordinal1,conjecture,
ordinal('empty$uset') ).
fof(negated_conjecture,negated_conjecture,
~ ordinal('empty$uset'),
inference(negate_conjecture,[status(cth)],[t27_ordinal1]) ).
cnf(c13,plain,
( ordinal(X0)
| ~ 'epsilon$uconnected'(X0)
| ~ 'epsilon$utransitive'(X0) ),
inference(clausification,[status(esa)],[cc2_ordinal1]) ).
cnf(c49,plain,
'epsilon$utransitive'('empty$uset'),
inference(clausification,[status(esa)],[l18_ordinal1]) ).
cnf(c50,plain,
'epsilon$uconnected'('empty$uset'),
inference(clausification,[status(esa)],[l18_ordinal1]) ).
cnf(c51,plain,
~ ordinal('empty$uset'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'epsilon$utransitive'('empty$uset')
| ordinal('empty$uset') ),
inference(resolution,[status(thm)],[c50,c13]) ).
cnf(d1,plain,
~ 'epsilon$utransitive'('empty$uset'),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c49,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 02:44:12 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.00/1.86 % SZS status Theorem for theBenchmark.p
% 10.00/1.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------