%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU354+1 : 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 08:41:45 AM UTC 2026
% Result : Theorem 12.91s 2.13s
% Output : CNFRefutation 12.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 10 ~; 9 |; 1 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_tex_2,axiom,
! [X0,X1] :
( element(X1,X0)
=> ( 'proper$uelement'(X1,X0)
<=> X1 != union(X0) ) ) ).
fof(rc2_tex_2,axiom,
! [X0] :
? [X1] :
( ~ 'proper$uelement'(X1,powerset(X0))
& element(X1,powerset(X0)) ) ).
fof(t99_zfmisc_1,axiom,
! [X0] : union(powerset(X0)) = X0 ).
fof(t5_tex_2,conjecture,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( 'proper$uelement'(X1,powerset(X0))
<=> X1 != X0 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(X0))
=> ( 'proper$uelement'(X1,powerset(X0))
<=> X1 != X0 ) ),
inference(negate_conjecture,[status(cth)],[t5_tex_2]) ).
cnf(c44,plain,
( X0 = union(X1)
| 'proper$uelement'(X0,X1)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[d2_tex_2]) ).
cnf(c65,plain,
element(sK44(X0),powerset(X0)),
inference(clausification,[status(esa)],[rc2_tex_2]) ).
cnf(c66,plain,
~ 'proper$uelement'(sK44(X0),powerset(X0)),
inference(clausification,[status(esa)],[rc2_tex_2]) ).
cnf(c79,plain,
union(powerset(X0)) = X0,
inference(clausification,[status(esa)],[t99_zfmisc_1]) ).
cnf(c80,plain,
element(sK69,powerset(sK68)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c82,plain,
( sK69 != sK68
| 'proper$uelement'(sK69,powerset(sK68)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c83,plain,
( ~ 'proper$uelement'(sK69,powerset(sK68))
| sK69 = sK68 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'proper$uelement'(sK69,powerset(sK68))
| sK69 = union(powerset(sK68)) ),
inference(resolution,[status(thm)],[c44,c80]) ).
cnf(d1,plain,
( sK69 = sK68
| sK69 = union(powerset(sK68)) ),
inference(resolution,[status(thm)],[d0,c83]) ).
cnf(d2,plain,
( sK69 = sK68
| sK69 = sK68 ),
inference(demodulation,[status(thm)],[d1,c79]) ).
cnf(d3,plain,
'proper$uelement'(sK69,powerset(sK68)),
inference(resolution,[status(thm)],[d2,c82]) ).
cnf(d4,plain,
'proper$uelement'(sK69,powerset(sK69)),
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'proper$uelement'(sK44(X0),powerset(X0))
| sK44(X0) = union(powerset(X0)) ),
inference(resolution,[status(thm)],[c65,c44]) ).
cnf(d6,plain,
( 'proper$uelement'(sK44(X0),powerset(X0))
| sK44(X0) = X0 ),
inference(demodulation,[status(thm)],[d5,c79]) ).
cnf(d7,plain,
sK44(X0) = X0,
inference(resolution,[status(thm)],[c66,d6]) ).
cnf(d8,plain,
~ 'proper$uelement'(X0,powerset(X0)),
inference(demodulation,[status(thm)],[c66,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU354+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 09:17:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.91/2.13 % SZS status Theorem for theBenchmark.p
% 12.91/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------