%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU217+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 : n014.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 08:41:18 AM UTC 2026
% Result : Theorem 1.94s 10.93s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 33 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 30 ( 12 ~; 10 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k6_relat_1,axiom,
! [X0] : relation('identity$urelation'(X0)) ).
fof(fc2_funct_1,axiom,
! [X0] :
( function('identity$urelation'(X0))
& relation('identity$urelation'(X0)) ) ).
fof(t34_funct_1,lemma,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( X1 = 'identity$urelation'(X0)
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& 'relation$udom'(X1) = X0 ) ) ) ).
fof(t35_funct_1,conjecture,
! [X0,X1] :
( in(X1,X0)
=> apply('identity$urelation'(X0),X1) = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( in(X1,X0)
=> apply('identity$urelation'(X0),X1) = X1 ),
inference(negate_conjecture,[status(cth)],[t35_funct_1]) ).
cnf(c236,plain,
relation('identity$urelation'(X0)),
inference(clausification,[status(esa)],[dt_k6_relat_1]) ).
cnf(c255,plain,
function('identity$urelation'(X0)),
inference(clausification,[status(esa)],[fc2_funct_1]) ).
cnf(c382,plain,
( X0 != 'identity$urelation'(X2)
| ~ in(X1,X2)
| ~ relation(X0)
| apply(X0,X1) = X1
| ~ function(X0) ),
inference(clausification,[status(esa)],[t34_funct_1]) ).
cnf(c470,plain,
in(sK552,sK551),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c471,plain,
apply('identity$urelation'(sK551),sK552) != sK552,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ relation('identity$urelation'(X0))
| ~ function('identity$urelation'(X0))
| ~ in(X1,X0)
| apply('identity$urelation'(X0),X1) = X1 ),
inference(equality_resolution,[status(thm)],[c382]) ).
cnf(d1,plain,
( ~ function('identity$urelation'(X0))
| ~ in(X1,X0)
| apply('identity$urelation'(X0),X1) = X1 ),
inference(resolution,[status(thm)],[c236,d0]) ).
cnf(d2,plain,
( ~ in(X1,X0)
| apply('identity$urelation'(X0),X1) = X1 ),
inference(resolution,[status(thm)],[c255,d1]) ).
cnf(d3,plain,
apply('identity$urelation'(sK551),sK552) = sK552,
inference(resolution,[status(thm)],[d2,c470]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c471,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU217+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
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 08:52:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.94/10.93 % SZS status Theorem for theBenchmark.p
% 1.94/10.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------