%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU303+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 : n001.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 08:41:36 AM UTC 2026
% Result : Theorem 22.04s 19.48s
% Output : CNFRefutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 36 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 10 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc13_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& function(X0)
& relation(X0) )
=> finite('relation$uimage'(X0,X1)) ) ).
fof(t146_relat_1,lemma,
! [X0] :
( relation(X0)
=> 'relation$uimage'(X0,'relation$udom'(X0)) = 'relation$urng'(X0) ) ).
fof(t26_finset_1,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite('relation$udom'(X0))
=> finite('relation$urng'(X0)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite('relation$udom'(X0))
=> finite('relation$urng'(X0)) ) ),
inference(negate_conjecture,[status(cth)],[t26_finset_1]) ).
cnf(c511,plain,
( finite('relation$uimage'(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[fc13_finset_1]) ).
cnf(c1066,plain,
( 'relation$uimage'(X0,'relation$udom'(X0)) = 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t146_relat_1]) ).
cnf(c1310,plain,
relation(sK1363),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1311,plain,
function(sK1363),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1312,plain,
finite('relation$udom'(sK1363)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1313,plain,
~ finite('relation$urng'(sK1363)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'relation$uimage'(sK1363,'relation$udom'(sK1363)) = 'relation$urng'(sK1363),
inference(resolution,[status(thm)],[c1066,c1310]) ).
cnf(d1,plain,
( ~ relation(sK1363)
| ~ function(sK1363)
| ~ finite('relation$udom'(sK1363))
| finite('relation$urng'(sK1363)) ),
inference(superposition,[status(thm)],[d0,c511]) ).
cnf(d2,plain,
( ~ function(sK1363)
| finite('relation$urng'(sK1363))
| ~ finite('relation$udom'(sK1363)) ),
inference(resolution,[status(thm)],[c1310,d1]) ).
cnf(d3,plain,
( finite('relation$urng'(sK1363))
| ~ finite('relation$udom'(sK1363)) ),
inference(resolution,[status(thm)],[c1311,d2]) ).
cnf(d4,plain,
finite('relation$urng'(sK1363)),
inference(resolution,[status(thm)],[c1312,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1313,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU303+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
% 0.07/0.38 % Computer : n001.cluster.edu
% 0.07/0.38 % Model : x86_64 x86_64
% 0.07/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.38 % Memory : 8046.5625MB
% 0.07/0.38 % OS : Linux 6.8.0-71-generic
% 0.07/0.38 % CPULimit : 300
% 0.07/0.38 % WCLimit : 300
% 0.07/0.38 % DateTime : Sat Sep 26 09:14:57 UTC 2026
% 0.07/0.39 % CPUTime :
% 0.07/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.04/19.48 % SZS status Theorem for theBenchmark.p
% 22.04/19.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------