%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM393+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 : n010.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 08:12:38 AM UTC 2026
% Result : Theorem 10.57s 1.96s
% Output : CNFRefutation 10.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 22 ~; 26 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connectedness_r1_ordinal1,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( 'ordinal$usubset'(X1,X0)
| 'ordinal$usubset'(X0,X1) ) ) ).
fof(d9_xboole_0,axiom,
! [X0,X1] :
( 'inclusion$ucomparable'(X0,X1)
<=> ( subset(X1,X0)
| subset(X0,X1) ) ) ).
fof(redefinition_r1_ordinal1,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( 'ordinal$usubset'(X0,X1)
<=> subset(X0,X1) ) ) ).
fof(t25_ordinal1,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> 'inclusion$ucomparable'(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> 'inclusion$ucomparable'(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[t25_ordinal1]) ).
cnf(c9,plain,
( 'ordinal$usubset'(X1,X0)
| 'ordinal$usubset'(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(clausification,[status(esa)],[connectedness_r1_ordinal1]) ).
cnf(c11,plain,
( ~ subset(X0,X1)
| 'inclusion$ucomparable'(X0,X1) ),
inference(clausification,[status(esa)],[d9_xboole_0]) ).
cnf(c12,plain,
( ~ subset(X1,X0)
| 'inclusion$ucomparable'(X0,X1) ),
inference(clausification,[status(esa)],[d9_xboole_0]) ).
cnf(c45,plain,
( subset(X0,X1)
| ~ 'ordinal$usubset'(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(clausification,[status(esa)],[redefinition_r1_ordinal1]) ).
cnf(c60,plain,
ordinal(sK51),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c61,plain,
ordinal(sK52),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
~ 'inclusion$ucomparable'(sK51,sK52),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'ordinal$usubset'(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| subset(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[c45,c9]) ).
cnf(d1,plain,
( subset(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0)
| subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[d0,c45]) ).
cnf(d2,plain,
( 'inclusion$ucomparable'(X0,X1)
| subset(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
( subset(sK52,sK51)
| ~ ordinal(sK51)
| ~ ordinal(sK52) ),
inference(resolution,[status(thm)],[d2,c62]) ).
cnf(d4,plain,
( subset(sK52,sK51)
| ~ ordinal(sK52) ),
inference(resolution,[status(thm)],[c60,d3]) ).
cnf(d5,plain,
subset(sK52,sK51),
inference(resolution,[status(thm)],[c61,d4]) ).
cnf(d6,plain,
'inclusion$ucomparable'(sK51,sK52),
inference(resolution,[status(thm)],[d5,c12]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c62,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM393+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 02:38:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.57/1.96 % SZS status Theorem for theBenchmark.p
% 10.57/1.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------