%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET900+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:33:31 AM UTC 2026
% Result : Theorem 5.91s 1.71s
% Output : CNFRefutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 35 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 22 ~; 12 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l45_zfmisc_1,axiom,
! [X0,X1] :
~ ( ! [X2] :
~ ( X2 != X1
& in(X2,X0) )
& X0 != 'empty$uset'
& X0 != singleton(X1) ) ).
fof(t41_zfmisc_1,conjecture,
! [X0,X1] :
~ ( ! [X2] :
~ ( X2 != X1
& in(X2,X0) )
& X0 != 'empty$uset'
& X0 != singleton(X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
~ ( ! [X2] :
~ ( X2 != X1
& in(X2,X0) )
& X0 != 'empty$uset'
& X0 != singleton(X1) ),
inference(negate_conjecture,[status(cth)],[t41_zfmisc_1]) ).
cnf(c4,plain,
( in(sK6(X0,X1),X0)
| X0 = 'empty$uset'
| X0 = singleton(X1) ),
inference(clausification,[status(esa)],[l45_zfmisc_1]) ).
cnf(c5,plain,
( sK6(X0,X1) != X1
| X0 = 'empty$uset'
| X0 = singleton(X1) ),
inference(clausification,[status(esa)],[l45_zfmisc_1]) ).
cnf(c6,plain,
sK7 != singleton(sK8),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
sK7 != 'empty$uset',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( X0 = sK8
| ~ in(X0,sK7) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK6(sK7,X0) = sK8
| sK7 = singleton(X0)
| sK7 = 'empty$uset' ),
inference(resolution,[status(thm)],[c4,c8]) ).
cnf(d1,plain,
( sK7 = singleton(X0)
| sK6(sK7,X0) = sK8 ),
inference(resolution,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( sK7 = singleton(X0)
| sK7 = singleton(X0)
| sK7 = 'empty$uset'
| sK8 != X0 ),
inference(superposition,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( sK8 != X0
| sK7 = singleton(X0) ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
sK7 = singleton(sK8),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET900+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 08:24:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.91/1.71 % SZS status Theorem for theBenchmark.p
% 5.91/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------