%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET135-6 : 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 : 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 02:11:38 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET135-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 04:55:36 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.25/0.58 % Refutation found
% 0.25/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.58 fof(f1,axiom,(
% 0.25/0.58 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f2,axiom,(
% 0.25/0.58 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f3,axiom,(
% 0.25/0.58 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f7,axiom,(
% 0.25/0.58 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f10,axiom,(
% 0.25/0.58 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f12,axiom,(
% 0.25/0.58 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f21,axiom,(
% 0.25/0.58 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f22,axiom,(
% 0.25/0.58 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f24,axiom,(
% 0.25/0.58 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f25,axiom,(
% 0.25/0.58 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f26,axiom,(
% 0.25/0.58 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f67,axiom,(
% 0.25/0.58 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f92,axiom,(
% 0.25/0.58 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f93,negated_conjecture,(
% 0.25/0.58 member(u,universal_class) ),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f94,negated_conjecture,(
% 0.25/0.58 set_builder(x,set_builder(u,set_builder(z,null_class))) = null_class ),
% 0.25/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.58 fof(f95,plain,(
% 0.25/0.58 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.25/0.58 inference(miniscoping,[status(thm)],[f1])).
% 0.25/0.58 fof(f96,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f95])).
% 0.25/0.58 fof(f97,plain,(
% 0.25/0.58 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.25/0.58 fof(f98,plain,(
% 0.25/0.58 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.25/0.58 fof(f102,plain,(
% 0.25/0.58 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.25/0.58 fof(f107,plain,(
% 0.25/0.58 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.25/0.58 inference(miniscoping,[status(thm)],[f10])).
% 0.25/0.58 fof(f108,plain,(
% 0.25/0.58 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f107])).
% 0.25/0.58 fof(f110,plain,(
% 0.25/0.58 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f12])).
% 0.25/0.58 fof(f122,plain,(
% 0.25/0.58 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.25/0.58 inference(miniscoping,[status(thm)],[f21])).
% 0.25/0.58 fof(f123,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f122])).
% 0.25/0.58 fof(f124,plain,(
% 0.25/0.58 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.25/0.58 inference(miniscoping,[status(thm)],[f22])).
% 0.25/0.58 fof(f125,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f124])).
% 0.25/0.58 fof(f127,plain,(
% 0.25/0.58 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f24])).
% 0.25/0.58 fof(f128,plain,(
% 0.25/0.58 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f25])).
% 0.25/0.58 fof(f129,plain,(
% 0.25/0.58 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.25/0.58 fof(f170,plain,(
% 0.25/0.58 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f67])).
% 0.25/0.58 fof(f200,plain,(
% 0.25/0.58 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f92])).
% 0.25/0.58 fof(f201,plain,(
% 0.25/0.58 member(u,universal_class)),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f93])).
% 0.25/0.58 fof(f202,plain,(
% 0.25/0.58 set_builder(x,set_builder(u,set_builder(z,null_class)))=null_class),
% 0.25/0.58 inference(cnf_transformation,[status(thm)],[f94])).
% 0.25/0.58 fof(f216,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~member(X0,X1)|~subclass(X2,complement(X1))|~member(X0,X2))),
% 0.25/0.58 inference(resolution,[status(thm)],[f127,f96])).
% 0.25/0.58 fof(f221,plain,(
% 0.25/0.58 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 0.25/0.58 inference(resolution,[status(thm)],[f123,f97])).
% 0.25/0.58 fof(f222,plain,(
% 0.25/0.58 ![X0,X1,X2,X3]: (member(X0,X1)|~subclass(X2,intersection(X1,X3))|~member(X0,X2))),
% 0.25/0.58 inference(resolution,[status(thm)],[f123,f96])).
% 0.25/0.58 fof(f225,plain,(
% 0.25/0.58 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.25/0.58 inference(paramodulation,[status(thm)],[f110,f108])).
% 0.25/0.58 fof(f242,plain,(
% 0.25/0.58 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 0.25/0.58 inference(resolution,[status(thm)],[f125,f97])).
% 0.25/0.58 fof(f264,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~member(X0,universal_class)|member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2))))),
% 0.25/0.58 inference(paramodulation,[status(thm)],[f129,f128])).
% 0.25/0.58 fof(f638,plain,(
% 0.25/0.58 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 0.25/0.58 inference(resolution,[status(thm)],[f221,f98])).
% 0.25/0.58 fof(f662,plain,(
% 0.25/0.58 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 0.25/0.58 inference(duplicate_literals_removal,[status(thm)],[f638])).
% 0.25/0.58 fof(f687,plain,(
% 0.25/0.58 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 0.25/0.58 inference(resolution,[status(thm)],[f242,f98])).
% 0.25/0.58 fof(f712,plain,(
% 0.25/0.58 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 0.25/0.58 inference(duplicate_literals_removal,[status(thm)],[f687])).
% 0.25/0.58 fof(f725,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,intersection(complement(X1),X2)))),
% 0.25/0.58 inference(resolution,[status(thm)],[f662,f216])).
% 0.25/0.58 fof(f734,plain,(
% 0.25/0.58 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 0.25/0.58 inference(paramodulation,[status(thm)],[f170,f662])).
% 0.25/0.58 fof(f896,plain,(
% 0.25/0.58 ![X0,X1,X2,X3]: (member(X0,X1)|~member(X0,intersection(X2,intersection(X1,X3))))),
% 0.25/0.58 inference(resolution,[status(thm)],[f712,f222])).
% 0.25/0.58 fof(f898,plain,(
% 0.25/0.58 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,intersection(X2,complement(X1))))),
% 0.25/0.58 inference(resolution,[status(thm)],[f712,f216])).
% 0.25/0.58 fof(f1326,plain,(
% 0.25/0.58 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 0.25/0.58 inference(resolution,[status(thm)],[f734,f102])).
% 0.25/0.58 fof(f1327,plain,(
% 0.25/0.58 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 0.25/0.58 inference(duplicate_literals_removal,[status(thm)],[f1326])).
% 0.25/0.58 fof(f1331,plain,(
% 0.25/0.58 ![X0]: (intersection(null_class,X0)=null_class)),
% 0.25/0.58 inference(resolution,[status(thm)],[f1327,f662])).
% 0.25/0.58 fof(f1375,plain,(
% 0.25/0.58 ![X0,X1]: (member(X0,X1)|~member(X0,null_class))),
% 0.25/0.58 inference(paramodulation,[status(thm)],[f1331,f896])).
% 0.25/0.58 fof(f1377,plain,(
% 0.25/0.58 ![X0,X1]: (~member(X0,X1)|~member(X0,null_class))),
% 0.25/0.58 inference(paramodulation,[status(thm)],[f1331,f898])).
% 0.25/0.58 fof(f1413,plain,(
% 0.25/0.58 ![X0]: (~member(X0,null_class))),
% 0.25/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1377,f1375])).
% 0.25/0.58 fof(f1730,plain,(
% 0.25/0.58 ![X0,X1]: (member(u,union(X0,X1))|member(u,intersection(complement(X0),complement(X1))))),
% 0.25/0.58 inference(resolution,[status(thm)],[f264,f201])).
% 0.25/0.58 fof(f1733,plain,(
% 0.25/0.58 ![X0,X1]: (member(u,union(X0,X1))|~member(u,X0))),
% 0.25/0.58 inference(resolution,[status(thm)],[f1730,f725])).
% 0.25/0.58 fof(f1734,plain,(
% 0.25/0.58 ![X0,X1]: (member(u,union(X0,X1))|~member(u,X1))),
% 0.25/0.58 inference(resolution,[status(thm)],[f1730,f898])).
% 0.25/0.59 fof(f1755,plain,(
% 0.25/0.59 ![X0,X1]: (member(u,set_builder(X0,X1))|~member(u,singleton(X0)))),
% 0.25/0.59 inference(paramodulation,[status(thm)],[f200,f1733])).
% 0.25/0.59 fof(f1805,plain,(
% 0.25/0.59 ![X0,X1]: (member(u,set_builder(X0,X1))|~member(u,X1))),
% 0.25/0.59 inference(paramodulation,[status(thm)],[f200,f1734])).
% 0.25/0.59 fof(f1810,plain,(
% 0.25/0.59 member(u,null_class)|~member(u,set_builder(u,set_builder(z,null_class)))),
% 0.25/0.59 inference(paramodulation,[status(thm)],[f202,f1805])).
% 0.25/0.59 fof(f1812,plain,(
% 0.25/0.59 ~member(u,set_builder(u,set_builder(z,null_class)))),
% 0.25/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1810,f1413])).
% 0.25/0.59 fof(f1815,plain,(
% 0.25/0.59 ![X0]: (member(u,set_builder(u,X0))|~member(u,universal_class))),
% 0.25/0.59 inference(resolution,[status(thm)],[f1755,f225])).
% 0.25/0.59 fof(f1818,plain,(
% 0.25/0.59 ![X0]: (member(u,set_builder(u,X0)))),
% 0.25/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1815,f201])).
% 0.25/0.59 fof(f1819,plain,(
% 0.25/0.59 $false),
% 0.25/0.59 inference(backward_subsumption_resolution,[status(thm)],[f1812,f1818])).
% 0.25/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.62 % Elapsed time: 0.309553 seconds
% 0.25/0.62 % CPU time: 2.174242 seconds
% 0.25/0.62 % Total memory used: 146.541 MB
% 0.25/0.62 % Net memory used: 141.582 MB
%------------------------------------------------------------------------------