%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU254+1 : 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 : n002.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 08:41:27 AM UTC 2026
% Result : Theorem 48.82s 6.85s
% Output : CNFRefutation 48.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 5 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 176 ( 74 ~; 88 |; 3 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 86 ( 6 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_wellord1,axiom,
! [X0,X1] :
( relation(X0)
=> relation('relation$urestriction'(X0,X1)) ) ).
fof(l2_wellord1,axiom,
! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> ! [X1,X2,X3] :
( ( in('ordered$upair'(X2,X3),X0)
& in('ordered$upair'(X1,X2),X0) )
=> in('ordered$upair'(X1,X3),X0) ) ) ) ).
fof(t106_zfmisc_1,axiom,
! [X0,X1,X2,X3] :
( in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ) ).
fof(t16_wellord1,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,'relation$urestriction'(X2,X1))
<=> ( in(X0,'cartesian$uproduct2'(X1,X1))
& in(X0,X2) ) ) ) ).
fof(t24_wellord1,conjecture,
! [X0,X1] :
( relation(X1)
=> ( transitive(X1)
=> transitive('relation$urestriction'(X1,X0)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( transitive(X1)
=> transitive('relation$urestriction'(X1,X0)) ) ),
inference(negate_conjecture,[status(cth)],[t24_wellord1]) ).
cnf(c9,plain,
( relation('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_wellord1]) ).
cnf(c14,plain,
( ~ in('ordered$upair'(X3,X2),X0)
| ~ in('ordered$upair'(X1,X3),X0)
| in('ordered$upair'(X1,X2),X0)
| ~ relation(X0)
| ~ transitive(X0) ),
inference(clausification,[status(esa)],[l2_wellord1]) ).
cnf(c15,plain,
( in('ordered$upair'(sK24(X0),sK25(X0)),X0)
| transitive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l2_wellord1]) ).
cnf(c16,plain,
( in('ordered$upair'(sK25(X0),sK26(X0)),X0)
| transitive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l2_wellord1]) ).
cnf(c17,plain,
( ~ in('ordered$upair'(sK24(X0),sK26(X0)),X0)
| transitive(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l2_wellord1]) ).
cnf(c28,plain,
( in(X0,X2)
| ~ in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(clausification,[status(esa)],[t106_zfmisc_1]) ).
cnf(c29,plain,
( in(X1,X3)
| ~ in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(clausification,[status(esa)],[t106_zfmisc_1]) ).
cnf(c30,plain,
( ~ in(X1,X3)
| ~ in(X0,X2)
| in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(clausification,[status(esa)],[t106_zfmisc_1]) ).
cnf(c31,plain,
( in(X1,X0)
| ~ in(X1,'relation$urestriction'(X0,X2))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t16_wellord1]) ).
cnf(c32,plain,
( in(X1,'cartesian$uproduct2'(X2,X2))
| ~ in(X1,'relation$urestriction'(X0,X2))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t16_wellord1]) ).
cnf(c33,plain,
( ~ in(X1,'cartesian$uproduct2'(X2,X2))
| ~ in(X1,X0)
| in(X1,'relation$urestriction'(X0,X2))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t16_wellord1]) ).
cnf(c40,plain,
relation(sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
transitive(sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c42,plain,
~ transitive('relation$urestriction'(sK50,sK49)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK25('relation$urestriction'(X0,X1))),X0) ),
inference(resolution,[status(thm)],[c31,c15]) ).
cnf(d1,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK25('relation$urestriction'(X0,X1))),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK25('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0) ),
inference(resolution,[status(thm)],[c31,c16]) ).
cnf(d3,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK25('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c9,d2]) ).
cnf(d4,plain,
( ~ transitive(X0)
| ~ relation(X0)
| ~ in('ordered$upair'(X2,sK25('relation$urestriction'(X0,X1))),X0)
| in('ordered$upair'(X2,sK26('relation$urestriction'(X0,X1))),X0)
| transitive('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d3,c14]) ).
cnf(d5,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| transitive('relation$urestriction'(X0,X1))
| ~ transitive(X0)
| ~ relation(X0)
| in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ in(X0,X3)
| ~ in(X1,X3)
| ~ relation(X2)
| in('ordered$upair'(X0,X1),'relation$urestriction'(X2,X3))
| ~ in('ordered$upair'(X0,X1),X2) ),
inference(resolution,[status(thm)],[c33,c30]) ).
cnf(d7,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| ~ in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0)
| ~ in(sK24('relation$urestriction'(X0,X1)),X1)
| ~ in(sK26('relation$urestriction'(X0,X1)),X1) ),
inference(resolution,[status(thm)],[d6,c17]) ).
cnf(d8,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| ~ in(sK26('relation$urestriction'(X0,X1)),X1)
| ~ in(sK24('relation$urestriction'(X0,X1)),X1)
| ~ in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c9,d7]) ).
cnf(d9,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK25('relation$urestriction'(X0,X1))),'cartesian$uproduct2'(X1,X1)) ),
inference(resolution,[status(thm)],[c32,c15]) ).
cnf(d10,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK25('relation$urestriction'(X0,X1))),'cartesian$uproduct2'(X1,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c9,d9]) ).
cnf(d11,plain,
( in(sK24('relation$urestriction'(X0,X1)),X1)
| transitive('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d10,c28]) ).
cnf(d12,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| ~ in(sK26('relation$urestriction'(X0,X1)),X1)
| ~ in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0)
| transitive('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK25('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),'cartesian$uproduct2'(X1,X1)) ),
inference(resolution,[status(thm)],[c32,c16]) ).
cnf(d14,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK25('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),'cartesian$uproduct2'(X1,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c9,d13]) ).
cnf(d15,plain,
( in(sK26('relation$urestriction'(X0,X1)),X1)
| transitive('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d14,c29]) ).
cnf(d16,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ relation(X0)
| ~ in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK26('relation$urestriction'(X0,X1))),X0)
| transitive('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
( transitive('relation$urestriction'(X0,X1))
| ~ transitive(X0)
| ~ relation(X0)
| transitive('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
( ~ transitive(sK50)
| ~ relation(sK50) ),
inference(resolution,[status(thm)],[d17,c42]) ).
cnf(d19,plain,
~ transitive(sK50),
inference(resolution,[status(thm)],[c40,d18]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[c41,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU254+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n002.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 09:02:05 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.82/6.85 % SZS status Theorem for theBenchmark.p
% 48.82/6.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------