%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU115+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 : n020.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 08:40:54 AM UTC 2026
% Result : Theorem 12.82s 2.08s
% Output : CNFRefutation 12.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_finset_1,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ) ).
fof(fc1_xboole_0,axiom,
empty('empty$uset') ).
fof(t27_finsub_1,axiom,
! [X0] :
( finite(X0)
=> 'finite$usubsets'(X0) = powerset(X0) ) ).
fof(t1_zfmisc_1,axiom,
powerset('empty$uset') = singleton('empty$uset') ).
fof(t28_finsub_1,conjecture,
'finite$usubsets'('empty$uset') = singleton('empty$uset') ).
fof(negated_conjecture,negated_conjecture,
'finite$usubsets'('empty$uset') != singleton('empty$uset'),
inference(negate_conjecture,[status(cth)],[t28_finsub_1]) ).
cnf(c10,plain,
( finite(X0)
| ~ empty(X0) ),
inference(clausification,[status(esa)],[cc1_finset_1]) ).
cnf(c57,plain,
empty('empty$uset'),
inference(clausification,[status(esa)],[fc1_xboole_0]) ).
cnf(c61,plain,
( 'finite$usubsets'(X0) = powerset(X0)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[t27_finsub_1]) ).
cnf(c62,plain,
powerset('empty$uset') = singleton('empty$uset'),
inference(clausification,[status(esa)],[t1_zfmisc_1]) ).
cnf(c63,plain,
'finite$usubsets'('empty$uset') != singleton('empty$uset'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
finite('empty$uset'),
inference(resolution,[status(thm)],[c10,c57]) ).
cnf(d1,plain,
'finite$usubsets'('empty$uset') = powerset('empty$uset'),
inference(resolution,[status(thm)],[c61,d0]) ).
cnf(d2,plain,
'finite$usubsets'('empty$uset') != powerset('empty$uset'),
inference(demodulation,[status(thm)],[c63,c62]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU115+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
% 0.10/0.36 % Computer : n020.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 08:38:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.82/2.08 % SZS status Theorem for theBenchmark.p
% 12.82/2.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------