%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU217+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 : n011.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 17.53s 2.66s
% Output : CNFRefutation 17.53s
% 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$urelation'(X0)) ) ).
fof(t34_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( X1 = 'identity$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$urelation'(X0),X1) = X1 ),
inference(negate_conjecture,[status(cth)],[t35_funct_1]) ).
cnf(c24,plain,
relation('identity$urelation'(X0)),
inference(clausification,[status(esa)],[dt_k6_relat_1]) ).
cnf(c28,plain,
function('identity$urelation'(X0)),
inference(clausification,[status(esa)],[fc2_funct_1]) ).
cnf(c32,plain,
( ~ in(X1,X2)
| X0 != 'identity$urelation'(X2)
| apply(X0,X1) = X1
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t34_funct_1]) ).
cnf(c35,plain,
in(sK30,sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c36,plain,
apply('identity$urelation'(sK29),sK30) != sK30,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X1,X0)
| ~ function('identity$urelation'(X0))
| ~ relation('identity$urelation'(X0))
| apply('identity$urelation'(X0),X1) = X1 ),
inference(equality_resolution,[status(thm)],[c32]) ).
cnf(d1,plain,
( ~ in(X1,X0)
| ~ relation('identity$urelation'(X0))
| apply('identity$urelation'(X0),X1) = X1 ),
inference(resolution,[status(thm)],[c28,d0]) ).
cnf(d2,plain,
( ~ in(X1,X0)
| apply('identity$urelation'(X0),X1) = X1 ),
inference(resolution,[status(thm)],[c24,d1]) ).
cnf(d3,plain,
apply('identity$urelation'(sK29),sK30) = sK30,
inference(resolution,[status(thm)],[d2,c35]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c36,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU217+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
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 08:52:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.53/2.66 % SZS status Theorem for theBenchmark.p
% 17.53/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------