%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM405+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 08:12:39 AM UTC 2026
% Result : Theorem 12.46s 18.68s
% Output : CNFRefutation 12.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 15 ~; 9 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 1 sgn 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_xboole_0__e2_43__ordinal1,axiom,
! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ordinal(X2)
& in(X2,X0) ) ) ).
fof(t37_ordinal1,axiom,
! [X0] :
~ ! [X1] :
( in(X1,X0)
<=> ordinal(X1) ) ).
fof(t38_ordinal1,conjecture,
! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
inference(negate_conjecture,[status(cth)],[t38_ordinal1]) ).
cnf(c64,plain,
( ordinal(X0)
| ~ in(X0,sK24(X1)) ),
inference(clausification,[status(esa)],[s1_xboole_0__e2_43__ordinal1]) ).
cnf(c65,plain,
( ~ ordinal(X0)
| ~ in(X0,X1)
| in(X0,sK24(X1)) ),
inference(clausification,[status(esa)],[s1_xboole_0__e2_43__ordinal1]) ).
cnf(c69,plain,
( ordinal(sK31(X0))
| in(sK31(X0),X0) ),
inference(clausification,[status(esa)],[t37_ordinal1]) ).
cnf(c70,plain,
( ~ in(sK31(X0),X0)
| ~ ordinal(sK31(X0)) ),
inference(clausification,[status(esa)],[t37_ordinal1]) ).
cnf(c75,plain,
( in(X0,sK37)
| ~ ordinal(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ ordinal(sK31(sK24(X0)))
| ~ in(sK31(sK24(X0)),X0)
| ~ ordinal(sK31(sK24(X0))) ),
inference(resolution,[status(thm)],[c70,c65]) ).
cnf(d1,plain,
( ordinal(sK31(sK24(X0)))
| ordinal(sK31(sK24(X0))) ),
inference(resolution,[status(thm)],[c69,c64]) ).
cnf(d2,plain,
~ in(sK31(sK24(X0)),X0),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ ordinal(sK31(sK24(sK37))),
inference(resolution,[status(thm)],[d2,c75]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d1,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM405+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/15.39 % Computer : n015.cluster.edu
% 0.08/15.39 % Model : x86_64 x86_64
% 0.08/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/15.39 % Memory : 8046.5625MB
% 0.08/15.39 % OS : Linux 6.8.0-71-generic
% 0.08/15.39 % CPULimit : 300
% 0.08/15.39 % WCLimit : 300
% 0.08/15.39 % DateTime : Sat Sep 26 02:42:29 UTC 2026
% 0.08/15.39 % CPUTime :
% 0.08/15.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.46/18.68 % SZS status Theorem for theBenchmark.p
% 12.46/18.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------