%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU239+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 : 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 08:41:24 AM UTC 2026
% Result : Theorem 10.40s 2.43s
% Output : CNFRefutation 10.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 31 ~; 33 |; 0 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_relat_2,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( 'is$ureflexive$uin'(X0,X1)
<=> ! [X2] :
( in(X2,X1)
=> in('ordered$upair'(X2,X2),X0) ) ) ) ).
fof(d9_relat_2,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> 'is$ureflexive$uin'(X0,'relation$ufield'(X0)) ) ) ).
fof(l1_wellord1,conjecture,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,'relation$ufield'(X0))
=> in('ordered$upair'(X1,X1),X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,'relation$ufield'(X0))
=> in('ordered$upair'(X1,X1),X0) ) ) ),
inference(negate_conjecture,[status(cth)],[l1_wellord1]) ).
cnf(c7,plain,
( in('ordered$upair'(X2,X2),X0)
| ~ in(X2,X1)
| ~ 'is$ureflexive$uin'(X0,X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_2]) ).
cnf(c8,plain,
( in(sK11(X0,X1),X1)
| 'is$ureflexive$uin'(X0,X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_2]) ).
cnf(c9,plain,
( ~ in('ordered$upair'(sK11(X0,X1),sK11(X0,X1)),X0)
| 'is$ureflexive$uin'(X0,X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_2]) ).
cnf(c12,plain,
( 'is$ureflexive$uin'(X0,'relation$ufield'(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d9_relat_2]) ).
cnf(c13,plain,
( ~ 'is$ureflexive$uin'(X0,'relation$ufield'(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d9_relat_2]) ).
cnf(c36,plain,
relation(sK41),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c38,plain,
( in('ordered$upair'(X0,X0),sK41)
| ~ in(X0,'relation$ufield'(sK41))
| reflexive(sK41) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c39,plain,
( ~ reflexive(sK41)
| in(sK42,'relation$ufield'(sK41)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
( ~ reflexive(sK41)
| ~ in('ordered$upair'(sK42,sK42),sK41) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( reflexive(sK41)
| ~ in(sK11(sK41,X0),'relation$ufield'(sK41))
| 'is$ureflexive$uin'(sK41,X0)
| ~ relation(sK41) ),
inference(resolution,[status(thm)],[c9,c38]) ).
cnf(d1,plain,
( reflexive(sK41)
| 'is$ureflexive$uin'(sK41,X0)
| ~ in(sK11(sK41,X0),'relation$ufield'(sK41)) ),
inference(resolution,[status(thm)],[c36,d0]) ).
cnf(d2,plain,
( 'is$ureflexive$uin'(sK41,'relation$ufield'(sK41))
| ~ relation(sK41)
| reflexive(sK41)
| 'is$ureflexive$uin'(sK41,'relation$ufield'(sK41)) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
( reflexive(sK41)
| 'is$ureflexive$uin'(sK41,'relation$ufield'(sK41)) ),
inference(resolution,[status(thm)],[c36,d2]) ).
cnf(d4,plain,
( reflexive(sK41)
| reflexive(sK41)
| ~ relation(sK41) ),
inference(resolution,[status(thm)],[c13,d3]) ).
cnf(d5,plain,
reflexive(sK41),
inference(resolution,[status(thm)],[c36,d4]) ).
cnf(d6,plain,
~ in('ordered$upair'(sK42,sK42),sK41),
inference(resolution,[status(thm)],[d5,c41]) ).
cnf(d7,plain,
( ~ relation(X0)
| in('ordered$upair'(X1,X1),X0)
| ~ in(X1,'relation$ufield'(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c12,c7]) ).
cnf(d8,plain,
( ~ reflexive(sK41)
| ~ relation(sK41)
| ~ in(sK42,'relation$ufield'(sK41)) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ reflexive(sK41)
| ~ in(sK42,'relation$ufield'(sK41)) ),
inference(resolution,[status(thm)],[c36,d8]) ).
cnf(d10,plain,
~ in(sK42,'relation$ufield'(sK41)),
inference(resolution,[status(thm)],[d5,d9]) ).
cnf(d11,plain,
in(sK42,'relation$ufield'(sK41)),
inference(resolution,[status(thm)],[d5,c39]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU239+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
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 08:59:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.40/2.43 % SZS status Theorem for theBenchmark.p
% 10.40/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------