%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 08:41:50 AM UTC 2026
% Result : Theorem 74.13s 16.16s
% Output : CNFRefutation 74.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 8 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_yellow_1,lemma,
! [X0] :
( 'the$uInternalRel'('incl$uPOSet'(X0)) = 'inclusion$uorder'(X0)
& 'the$ucarrier'('incl$uPOSet'(X0)) = X0 ) ).
fof(t4_yellow_1,lemma,
! [X0] : 'boole$uPOSet'(X0) = 'incl$uPOSet'(powerset(X0)) ).
fof(t4_waybel_7,conjecture,
! [X0] : 'the$ucarrier'('boole$uPOSet'(X0)) = powerset(X0) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : 'the$ucarrier'('boole$uPOSet'(X0)) = powerset(X0),
inference(negate_conjecture,[status(cth)],[t4_waybel_7]) ).
cnf(c2721,plain,
'the$ucarrier'('incl$uPOSet'(X0)) = X0,
inference(clausification,[status(esa)],[t1_yellow_1]) ).
cnf(c2914,plain,
'boole$uPOSet'(X0) = 'incl$uPOSet'(powerset(X0)),
inference(clausification,[status(esa)],[t4_yellow_1]) ).
cnf(c3038,plain,
'the$ucarrier'('boole$uPOSet'(sK2640)) != powerset(sK2640),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'the$ucarrier'('boole$uPOSet'(X0)) = powerset(X0),
inference(superposition,[status(thm)],[c2914,c2721]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c3038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n013.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 09:22:51 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.13/16.16 % SZS status Theorem for theBenchmark.p
% 74.13/16.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------