%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU148+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 : n015.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 08:41:01 AM UTC 2026
% Result : Theorem 14.37s 2.36s
% Output : CNFRefutation 14.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 37 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 12 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_tarski,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ) ).
fof(l1_zfmisc_1,axiom,
! [X0] : singleton(X0) != 'empty$uset' ).
fof(l4_zfmisc_1,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( X0 = singleton(X1)
| X0 = 'empty$uset' ) ) ).
fof(t6_zfmisc_1,conjecture,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negate_conjecture,[status(cth)],[t6_zfmisc_1]) ).
cnf(c1,plain,
( X2 = X1
| ~ in(X2,X0)
| X0 != singleton(X1) ),
inference(clausification,[status(esa)],[d1_tarski]) ).
cnf(c2,plain,
( X2 != X1
| in(X2,X0)
| X0 != singleton(X1) ),
inference(clausification,[status(esa)],[d1_tarski]) ).
cnf(c8,plain,
singleton(X0) != 'empty$uset',
inference(clausification,[status(esa)],[l1_zfmisc_1]) ).
cnf(c9,plain,
( X0 = singleton(X1)
| X0 = 'empty$uset'
| ~ subset(X0,singleton(X1)) ),
inference(clausification,[status(esa)],[l4_zfmisc_1]) ).
cnf(c15,plain,
subset(singleton(sK13),singleton(sK14)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
sK13 != sK14,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X0,singleton(X1))
| X0 = X1 ),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(d1,plain,
( singleton(sK13) = 'empty$uset'
| singleton(sK13) = singleton(sK14) ),
inference(resolution,[status(thm)],[c9,c15]) ).
cnf(d2,plain,
singleton(sK13) = singleton(sK14),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
( in(X1,X0)
| X1 != sK14
| X0 != singleton(sK13) ),
inference(superposition,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
( in(X0,singleton(sK13))
| X0 != sK14 ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
in(sK14,singleton(sK13)),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
sK14 = sK13,
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
sK13 != sK13,
inference(demodulation,[status(thm)],[c16,d6]) ).
cnf(d8,plain,
$false,
inference(equality_resolution,[status(thm)],[d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU148+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
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:43:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.37/2.36 % SZS status Theorem for theBenchmark.p
% 14.37/2.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------