%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM183-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
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,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,negated_conjecture,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f162,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f163,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f166,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f193,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f195,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f325,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f349,plain,
member(x,ordinal_numbers),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f350,plain,
~ member(x,kind_1_ordinals),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f351,plain,
~ member(x,limit_ordinals),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f358,plain,
! [X0] :
( member(x,X0)
| ~ subclass(ordinal_numbers,X0) ),
inference(resolution,[status(thm)],[f163,f349]) ).
fof(f360,plain,
member(x,universal_class),
inference(resolution,[status(thm)],[f166,f358]) ).
fof(f438,plain,
! [X0] :
( member(X0,limit_ordinals)
| ~ member(X0,ordinal_numbers)
| ~ member(X0,complement(kind_1_ordinals)) ),
inference(paramodulation,[status(thm)],[f325,f193]) ).
fof(f448,plain,
( member(x,limit_ordinals)
| ~ member(x,complement(kind_1_ordinals)) ),
inference(resolution,[status(thm)],[f438,f349]) ).
fof(f450,plain,
~ member(x,complement(kind_1_ordinals)),
inference(forward_subsumption_resolution,[status(thm)],[f448,f351]) ).
fof(f452,plain,
( member(x,kind_1_ordinals)
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f450,f195]) ).
fof(f453,plain,
member(x,kind_1_ordinals),
inference(forward_subsumption_resolution,[status(thm)],[f452,f360]) ).
fof(f454,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f453,f350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM183-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n005.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 02:10:18 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 0.18/0.52 % Refutation found
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.57 % Elapsed time: 0.100253 seconds
% 0.27/0.57 % CPU time: 0.151661 seconds
% 0.27/0.57 % Total memory used: 24.022 MB
% 0.27/0.57 % Net memory used: 23.980 MB
%------------------------------------------------------------------------------