%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU239+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 : n016.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 64.50s 13.30s
% Output : CNFRefutation 64.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 35 ~; 35 |; 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(c118,plain,
( in('ordered$upair'(X2,X2),X0)
| ~ in(X2,X1)
| ~ 'is$ureflexive$uin'(X0,X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_2]) ).
cnf(c119,plain,
( in(sK97(X0,X1),X1)
| 'is$ureflexive$uin'(X0,X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_2]) ).
cnf(c120,plain,
( ~ in('ordered$upair'(sK97(X0,X1),sK97(X0,X1)),X0)
| 'is$ureflexive$uin'(X0,X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_2]) ).
cnf(c319,plain,
( 'is$ureflexive$uin'(X0,'relation$ufield'(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d9_relat_2]) ).
cnf(c320,plain,
( ~ 'is$ureflexive$uin'(X0,'relation$ufield'(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d9_relat_2]) ).
cnf(c666,plain,
relation(sK697),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c668,plain,
( in('ordered$upair'(X0,X0),sK697)
| ~ in(X0,'relation$ufield'(sK697))
| reflexive(sK697) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c669,plain,
( ~ reflexive(sK697)
| in(sK698,'relation$ufield'(sK697)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c671,plain,
( ~ reflexive(sK697)
| ~ in('ordered$upair'(sK698,sK698),sK697) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( reflexive(sK697)
| ~ in(sK97(sK697,X0),'relation$ufield'(sK697))
| 'is$ureflexive$uin'(sK697,X0)
| ~ relation(sK697) ),
inference(resolution,[status(thm)],[c120,c668]) ).
cnf(d1,plain,
( reflexive(sK697)
| 'is$ureflexive$uin'(sK697,X0)
| ~ in(sK97(sK697,X0),'relation$ufield'(sK697)) ),
inference(resolution,[status(thm)],[c666,d0]) ).
cnf(d2,plain,
( 'is$ureflexive$uin'(sK697,'relation$ufield'(sK697))
| ~ relation(sK697)
| reflexive(sK697)
| 'is$ureflexive$uin'(sK697,'relation$ufield'(sK697)) ),
inference(resolution,[status(thm)],[d1,c119]) ).
cnf(d3,plain,
( reflexive(sK697)
| 'is$ureflexive$uin'(sK697,'relation$ufield'(sK697)) ),
inference(resolution,[status(thm)],[c666,d2]) ).
cnf(d4,plain,
( ~ reflexive(sK697)
| ~ 'is$ureflexive$uin'(sK697,X0)
| ~ relation(sK697)
| ~ in(sK698,X0) ),
inference(resolution,[status(thm)],[c118,c671]) ).
cnf(d5,plain,
( ~ reflexive(sK697)
| ~ 'is$ureflexive$uin'(sK697,X0)
| ~ in(sK698,X0) ),
inference(resolution,[status(thm)],[c666,d4]) ).
cnf(d6,plain,
( ~ reflexive(sK697)
| ~ in(sK698,'relation$ufield'(sK697))
| ~ reflexive(sK697)
| ~ relation(sK697) ),
inference(resolution,[status(thm)],[c319,d5]) ).
cnf(d7,plain,
( ~ reflexive(sK697)
| ~ in(sK698,'relation$ufield'(sK697)) ),
inference(resolution,[status(thm)],[c666,d6]) ).
cnf(d8,plain,
( ~ reflexive(sK697)
| ~ reflexive(sK697) ),
inference(resolution,[status(thm)],[d7,c669]) ).
cnf(d9,plain,
'is$ureflexive$uin'(sK697,'relation$ufield'(sK697)),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( reflexive(sK697)
| ~ relation(sK697) ),
inference(resolution,[status(thm)],[c320,d9]) ).
cnf(d11,plain,
reflexive(sK697),
inference(resolution,[status(thm)],[c666,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d8,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU239+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n016.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 09:02:22 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.50/13.30 % SZS status Theorem for theBenchmark.p
% 64.50/13.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------