%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU255+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 : n008.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 14.35s 3.26s
% Output : CNFRefutation 14.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 81 ( 11 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 93 ( 39 ~; 42 |; 2 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_wellord1,axiom,
! [X0,X1] :
( relation(X0)
=> relation('relation$urestriction'(X0,X1)) ) ).
fof(l3_wellord1,axiom,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> ! [X1,X2] :
( ( in('ordered$upair'(X2,X1),X0)
& in('ordered$upair'(X1,X2),X0) )
=> X1 = X2 ) ) ) ).
fof(t16_wellord1,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,'relation$urestriction'(X2,X1))
<=> ( in(X0,'cartesian$uproduct2'(X1,X1))
& in(X0,X2) ) ) ) ).
fof(t25_wellord1,conjecture,
! [X0,X1] :
( relation(X1)
=> ( antisymmetric(X1)
=> antisymmetric('relation$urestriction'(X1,X0)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( antisymmetric(X1)
=> antisymmetric('relation$urestriction'(X1,X0)) ) ),
inference(negate_conjecture,[status(cth)],[t25_wellord1]) ).
cnf(c9,plain,
( relation('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_wellord1]) ).
cnf(c14,plain,
( X2 = X1
| ~ in('ordered$upair'(X2,X1),X0)
| ~ in('ordered$upair'(X1,X2),X0)
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l3_wellord1]) ).
cnf(c15,plain,
( in('ordered$upair'(sK23(X0),sK24(X0)),X0)
| antisymmetric(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l3_wellord1]) ).
cnf(c16,plain,
( in('ordered$upair'(sK24(X0),sK23(X0)),X0)
| antisymmetric(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l3_wellord1]) ).
cnf(c17,plain,
( sK23(X0) != sK24(X0)
| antisymmetric(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l3_wellord1]) ).
cnf(c28,plain,
( in(X1,X0)
| ~ in(X1,'relation$urestriction'(X0,X2))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t16_wellord1]) ).
cnf(c37,plain,
relation(sK44),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c38,plain,
antisymmetric(sK44),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c39,plain,
~ antisymmetric('relation$urestriction'(sK44,sK43)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( antisymmetric('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK23('relation$urestriction'(X0,X1))),X0) ),
inference(resolution,[status(thm)],[c28,c16]) ).
cnf(d1,plain,
( antisymmetric('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| in('ordered$upair'(sK23('relation$urestriction'(X0,X1)),sK24('relation$urestriction'(X0,X1))),X0) ),
inference(resolution,[status(thm)],[c28,c15]) ).
cnf(d2,plain,
( ~ antisymmetric(X0)
| ~ relation(X0)
| ~ in('ordered$upair'(sK24('relation$urestriction'(X0,X1)),sK23('relation$urestriction'(X0,X1))),X0)
| sK24('relation$urestriction'(X0,X1)) = sK23('relation$urestriction'(X0,X1))
| antisymmetric('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d1,c14]) ).
cnf(d3,plain,
( antisymmetric('relation$urestriction'(X0,X1))
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| antisymmetric('relation$urestriction'(X0,X1))
| ~ antisymmetric(X0)
| ~ relation('relation$urestriction'(X0,X1))
| ~ relation(X0)
| sK24('relation$urestriction'(X0,X1)) = sK23('relation$urestriction'(X0,X1)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ relation(X0)
| antisymmetric('relation$urestriction'(X0,X1))
| ~ antisymmetric(X0)
| ~ relation(X0)
| sK24('relation$urestriction'(X0,X1)) = sK23('relation$urestriction'(X0,X1)) ),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
( ~ antisymmetric(sK44)
| ~ relation(sK44)
| sK24('relation$urestriction'(sK44,sK43)) = sK23('relation$urestriction'(sK44,sK43)) ),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
( ~ antisymmetric(sK44)
| sK24('relation$urestriction'(sK44,sK43)) = sK23('relation$urestriction'(sK44,sK43)) ),
inference(resolution,[status(thm)],[c37,d5]) ).
cnf(d7,plain,
sK24('relation$urestriction'(sK44,sK43)) = sK23('relation$urestriction'(sK44,sK43)),
inference(resolution,[status(thm)],[c38,d6]) ).
cnf(d8,plain,
( antisymmetric('relation$urestriction'(sK44,sK43))
| ~ relation('relation$urestriction'(sK44,sK43))
| sK23('relation$urestriction'(sK44,sK43)) != sK23('relation$urestriction'(sK44,sK43)) ),
inference(superposition,[status(thm)],[d7,c17]) ).
cnf(d9,plain,
( ~ relation('relation$urestriction'(sK44,sK43))
| sK23('relation$urestriction'(sK44,sK43)) != sK23('relation$urestriction'(sK44,sK43)) ),
inference(resolution,[status(thm)],[c39,d8]) ).
cnf(d10,plain,
~ relation('relation$urestriction'(sK44,sK43)),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
~ relation(sK44),
inference(resolution,[status(thm)],[d10,c9]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c37,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU255+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 09:00:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.35/3.26 % SZS status Theorem for theBenchmark.p
% 14.35/3.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------