%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU247+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:41:26 AM UTC 2026
% Result : Theorem 52.46s 10.23s
% Output : CNFRefutation 52.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t140_relat_1,lemma,
! [X0,X1,X2] :
( relation(X2)
=> 'relation$udom$urestriction'('relation$urng$urestriction'(X0,X2),X1) = 'relation$urng$urestriction'(X0,'relation$udom$urestriction'(X2,X1)) ) ).
fof(t17_wellord1,lemma,
! [X0,X1] :
( relation(X1)
=> 'relation$urestriction'(X1,X0) = 'relation$udom$urestriction'('relation$urng$urestriction'(X0,X1),X0) ) ).
fof(t18_wellord1,conjecture,
! [X0,X1] :
( relation(X1)
=> 'relation$urestriction'(X1,X0) = 'relation$urng$urestriction'(X0,'relation$udom$urestriction'(X1,X0)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> 'relation$urestriction'(X1,X0) = 'relation$urng$urestriction'(X0,'relation$udom$urestriction'(X1,X0)) ),
inference(negate_conjecture,[status(cth)],[t18_wellord1]) ).
cnf(c566,plain,
( 'relation$udom$urestriction'('relation$urng$urestriction'(X1,X0),X2) = 'relation$urng$urestriction'(X1,'relation$udom$urestriction'(X0,X2))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t140_relat_1]) ).
cnf(c588,plain,
( 'relation$urestriction'(X0,X1) = 'relation$udom$urestriction'('relation$urng$urestriction'(X1,X0),X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t17_wellord1]) ).
cnf(c758,plain,
relation(sK776),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c759,plain,
'relation$urestriction'(sK776,sK775) != 'relation$urng$urestriction'(sK775,'relation$udom$urestriction'(sK776,sK775)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ relation(sK776)
| 'relation$urestriction'(sK776,sK775) != 'relation$udom$urestriction'('relation$urng$urestriction'(sK775,sK776),sK775) ),
inference(superposition,[status(thm)],[c566,c759]) ).
cnf(d1,plain,
'relation$urestriction'(sK776,sK775) != 'relation$udom$urestriction'('relation$urng$urestriction'(sK775,sK776),sK775),
inference(resolution,[status(thm)],[c758,d0]) ).
cnf(d2,plain,
( ~ relation(sK776)
| 'relation$urestriction'(sK776,sK775) != 'relation$urestriction'(sK776,sK775) ),
inference(superposition,[status(thm)],[c588,d1]) ).
cnf(d3,plain,
'relation$urestriction'(sK776,sK775) != 'relation$urestriction'(sK776,sK775),
inference(resolution,[status(thm)],[c758,d2]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 09:01:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.46/10.23 % SZS status Theorem for theBenchmark.p
% 52.46/10.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------