%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET099-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:11:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET099-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:52:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,axiom,(
% 0.13/0.44 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f4,axiom,(
% 0.13/0.44 (![X]: (subclass(X,universal_class) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f21,axiom,(
% 0.13/0.44 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f22,axiom,(
% 0.13/0.44 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f24,axiom,(
% 0.13/0.44 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f122,axiom,(
% 0.13/0.44 (![X]: (( ~ member(X,universal_class)| member(X,singleton(X)) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f141,axiom,(
% 0.13/0.44 (![X]: (( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),intersection(complement(singleton(not_subclass_element(X,null_class))),X))| singleton(not_subclass_element(X,null_class)) = X| X = null_class ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f142,negated_conjecture,(
% 0.13/0.44 not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class) = not_subclass_element(x,null_class) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f143,negated_conjecture,(
% 0.13/0.44 singleton(not_subclass_element(x,null_class)) != x ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f144,negated_conjecture,(
% 0.13/0.44 x != null_class ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f145,plain,(
% 0.13/0.44 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.44 fof(f146,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f145])).
% 0.13/0.44 fof(f149,plain,(
% 0.13/0.44 ![X0]: (subclass(X0,universal_class))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.44 fof(f172,plain,(
% 0.13/0.44 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.44 fof(f173,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f172])).
% 0.13/0.44 fof(f174,plain,(
% 0.13/0.44 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.44 fof(f175,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f174])).
% 0.13/0.44 fof(f177,plain,(
% 0.13/0.44 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.44 fof(f293,plain,(
% 0.13/0.44 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f122])).
% 0.13/0.44 fof(f313,plain,(
% 0.13/0.44 ![X0]: (member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))|singleton(not_subclass_element(X0,null_class))=X0|X0=null_class)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f141])).
% 0.13/0.44 fof(f314,plain,(
% 0.13/0.44 not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class)=not_subclass_element(x,null_class)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f142])).
% 0.13/0.44 fof(f315,plain,(
% 0.13/0.44 ~singleton(not_subclass_element(x,null_class))=x),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f143])).
% 0.13/0.44 fof(f316,plain,(
% 0.13/0.44 ~x=null_class),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f144])).
% 0.13/0.44 fof(f562,plain,(
% 0.13/0.44 member(not_subclass_element(x,null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))|singleton(not_subclass_element(x,null_class))=x|x=null_class),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f314,f313])).
% 0.13/0.44 fof(f567,plain,(
% 0.13/0.44 member(not_subclass_element(x,null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))|x=null_class),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f562,f315])).
% 0.13/0.44 fof(f583,plain,(
% 0.13/0.44 member(not_subclass_element(x,null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f567,f316])).
% 0.13/0.44 fof(f584,plain,(
% 0.13/0.44 member(not_subclass_element(x,null_class),x)),
% 0.13/0.44 inference(resolution,[status(thm)],[f583,f175])).
% 0.13/0.44 fof(f585,plain,(
% 0.13/0.44 member(not_subclass_element(x,null_class),complement(singleton(not_subclass_element(x,null_class))))),
% 0.13/0.44 inference(resolution,[status(thm)],[f583,f173])).
% 0.13/0.44 fof(f709,plain,(
% 0.13/0.44 ![X0]: (~subclass(x,X0)|member(not_subclass_element(x,null_class),X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f584,f146])).
% 0.13/0.44 fof(f710,plain,(
% 0.13/0.44 ~member(not_subclass_element(x,null_class),singleton(not_subclass_element(x,null_class)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f585,f177])).
% 0.13/0.44 fof(f767,plain,(
% 0.13/0.44 member(not_subclass_element(x,null_class),universal_class)),
% 0.13/0.44 inference(resolution,[status(thm)],[f709,f149])).
% 0.13/0.44 fof(f1337,plain,(
% 0.13/0.44 ~member(not_subclass_element(x,null_class),universal_class)),
% 0.13/0.44 inference(resolution,[status(thm)],[f710,f293])).
% 0.13/0.44 fof(f1338,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1337,f767])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.078058 seconds
% 0.13/0.45 % CPU time: 0.330134 seconds
% 0.13/0.45 % Total memory used: 110.711 MB
% 0.13/0.45 % Net memory used: 110.299 MB
%------------------------------------------------------------------------------