%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU247+1 : 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 : n005.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 10.83s 2.86s
% Output : CNFRefutation 10.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 2 |; 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 : 17 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t140_relat_1,axiom,
! [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,axiom,
! [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$urestriction'(X1,X0)) ),
inference(negate_conjecture,[status(cth)],[t18_wellord1]) ).
cnf(c6,plain,
( 'relation$udom$urestriction'('relation$urng$urestriction'(X1,X0),X2) = 'relation$urng$urestriction'(X1,'relation$udom$urestriction'(X0,X2))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t140_relat_1]) ).
cnf(c7,plain,
( 'relation$urestriction'(X0,X1) = 'relation$udom$urestriction'('relation$urng$urestriction'(X1,X0),X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t17_wellord1]) ).
cnf(c8,plain,
relation(sK18),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
'relation$urestriction'(sK18,sK17) != 'relation$urng$urestriction'(sK17,'relation$udom$urestriction'(sK18,sK17)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'relation$udom$urestriction'('relation$urng$urestriction'(X0,sK18),X1) = 'relation$urng$urestriction'(X0,'relation$udom$urestriction'(sK18,X1)),
inference(resolution,[status(thm)],[c6,c8]) ).
cnf(d1,plain,
'relation$urestriction'(sK18,sK17) != 'relation$udom$urestriction'('relation$urng$urestriction'(sK17,sK18),sK17),
inference(demodulation,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
'relation$urestriction'(sK18,X0) = 'relation$udom$urestriction'('relation$urng$urestriction'(X0,sK18),X0),
inference(resolution,[status(thm)],[c7,c8]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sat Sep 26 08:58:02 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.83/2.86 % SZS status Theorem for theBenchmark.p
% 10.83/2.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------