%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:42:20 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:10:40 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.40 fof(f2,axiom,(
% 0.02/0.40 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f3,axiom,(
% 0.02/0.40 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f22,axiom,(
% 0.02/0.40 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f139,axiom,(
% 0.02/0.40 intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals ),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f159,negated_conjecture,(
% 0.02/0.40 ~ subclass(limit_ordinals,ordinal_numbers) ),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f162,plain,(
% 0.02/0.40 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.40 fof(f163,plain,(
% 0.02/0.40 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.40 fof(f189,plain,(
% 0.02/0.40 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f22])).
% 0.02/0.40 fof(f190,plain,(
% 0.02/0.40 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.02/0.40 fof(f323,plain,(
% 0.02/0.40 intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f139])).
% 0.02/0.40 fof(f347,plain,(
% 0.02/0.40 ~subclass(limit_ordinals,ordinal_numbers)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f159])).
% 0.02/0.40 fof(f445,plain,(
% 0.02/0.40 ![X0]: (~member(X0,limit_ordinals)|member(X0,ordinal_numbers))),
% 0.02/0.40 inference(paramodulation,[status(thm)],[f323,f190])).
% 0.02/0.40 fof(f451,plain,(
% 0.02/0.40 ![X0]: (member(not_subclass_element(limit_ordinals,X0),ordinal_numbers)|subclass(limit_ordinals,X0))),
% 0.02/0.40 inference(resolution,[status(thm)],[f445,f162])).
% 0.02/0.40 fof(f457,plain,(
% 0.02/0.40 subclass(limit_ordinals,ordinal_numbers)|subclass(limit_ordinals,ordinal_numbers)),
% 0.02/0.40 inference(resolution,[status(thm)],[f451,f163])).
% 0.02/0.40 fof(f458,plain,(
% 0.02/0.40 subclass(limit_ordinals,ordinal_numbers)),
% 0.02/0.40 inference(duplicate_literals_removal,[status(thm)],[f457])).
% 0.02/0.40 fof(f459,plain,(
% 0.02/0.40 $false),
% 0.02/0.40 inference(forward_subsumption_resolution,[status(thm)],[f458,f347])).
% 0.02/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.054697 seconds
% 0.02/0.42 % CPU time: 0.176997 seconds
% 0.02/0.42 % Total memory used: 108.791 MB
% 0.02/0.42 % Net memory used: 108.566 MB
%------------------------------------------------------------------------------