%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 : Thu Sep 24 01:38:44 PM UTC 2026
% Result : Unsatisfiable 0.21s 10.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f162,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f163,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f189,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f190,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f323,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f347,plain,
~ subclass(limit_ordinals,ordinal_numbers),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f499,plain,
! [X0] :
( member(X0,ordinal_numbers)
| ~ member(X0,limit_ordinals) ),
inference(paramodulation,[status(thm)],[f323,f190]) ).
fof(f504,plain,
! [X0] :
( subclass(limit_ordinals,X0)
| member(not_subclass_element(limit_ordinals,X0),ordinal_numbers) ),
inference(resolution,[status(thm)],[f499,f162]) ).
fof(f699,plain,
( subclass(limit_ordinals,ordinal_numbers)
| subclass(limit_ordinals,ordinal_numbers) ),
inference(resolution,[status(thm)],[f504,f163]) ).
fof(f700,plain,
subclass(limit_ordinals,ordinal_numbers),
inference(duplicate_literals_removal,[status(thm)],[f699]) ).
fof(f701,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f700,f347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/10.48 % Computer : n016.cluster.edu
% 0.18/10.48 % Model : x86_64 x86_64
% 0.18/10.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.48 % Memory : 8046.5625MB
% 0.18/10.48 % OS : Linux 6.8.0-71-generic
% 0.18/10.48 % CPULimit : 300
% 0.18/10.48 % WCLimit : 300
% 0.18/10.48 % DateTime : Mon Sep 21 02:15:48 UTC 2026
% 0.18/10.48 % CPUTime :
% 0.21/10.50 % Drodi V4.1.1
% 0.21/10.54 % Refutation found
% 0.21/10.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/10.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/10.57 % Elapsed time: 0.072669 seconds
% 0.21/10.57 % CPU time: 0.237128 seconds
% 0.21/10.57 % Total memory used: 109.430 MB
% 0.21/10.57 % Net memory used: 109.156 MB
%------------------------------------------------------------------------------