%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU143+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 : n004.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 08:41:00 AM UTC 2026
% Result : Theorem 13.33s 12.31s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 6 |; 1 &)
% ( 2 <=>; 0 =>; 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_tarski,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ) ).
fof(fc1_xboole_0,axiom,
empty('empty$uset') ).
fof(t7_boole,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ) ).
fof(l1_zfmisc_1,conjecture,
! [X0] : singleton(X0) != 'empty$uset' ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : singleton(X0) != 'empty$uset',
inference(negate_conjecture,[status(cth)],[l1_zfmisc_1]) ).
cnf(c9,plain,
( X2 != X1
| in(X2,X0)
| X0 != singleton(X1) ),
inference(clausification,[status(esa)],[d1_tarski]) ).
cnf(c68,plain,
empty('empty$uset'),
inference(clausification,[status(esa)],[fc1_xboole_0]) ).
cnf(c113,plain,
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t7_boole]) ).
cnf(c119,plain,
singleton(sK134) = 'empty$uset',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( in(X1,X0)
| X1 != sK134
| X0 != 'empty$uset' ),
inference(superposition,[status(thm)],[c119,c9]) ).
cnf(d1,plain,
( in(X0,'empty$uset')
| X0 != sK134 ),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
in(sK134,'empty$uset'),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
~ empty('empty$uset'),
inference(resolution,[status(thm)],[c113,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c68,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU143+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.36 % Computer : n004.cluster.edu
% 0.10/10.36 % Model : x86_64 x86_64
% 0.10/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.36 % Memory : 8046.5625MB
% 0.10/10.36 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Sat Sep 26 08:39:49 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.33/12.31 % SZS status Theorem for theBenchmark.p
% 13.33/12.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------