%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET131-6 : 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 : n015.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 0.15s 1.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET131-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.79 % Computer : n015.cluster.edu
% 0.12/0.79 % Model : x86_64 x86_64
% 0.12/0.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.79 % Memory : 8046.5625MB
% 0.12/0.79 % OS : Linux 6.8.0-71-generic
% 0.12/0.79 % CPULimit : 300
% 0.12/0.79 % WCLimit : 300
% 0.12/0.79 % DateTime : Mon Sep 21 04:58:52 UTC 2026
% 0.12/0.79 % CPUTime :
% 0.15/0.81 % Drodi V4.1.1
% 0.15/1.05 % Refutation found
% 0.15/1.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/1.05 % SZS output start CNFRefutation for theBenchmark
% 0.15/1.05 fof(f10,axiom,(
% 0.15/1.05 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f12,axiom,(
% 0.15/1.05 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f21,axiom,(
% 0.15/1.05 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f22,axiom,(
% 0.15/1.05 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f24,axiom,(
% 0.15/1.05 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f25,axiom,(
% 0.15/1.05 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f26,axiom,(
% 0.15/1.05 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f92,axiom,(
% 0.15/1.05 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f93,negated_conjecture,(
% 0.15/1.05 member(u,universal_class) ),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f94,negated_conjecture,(
% 0.15/1.05 ~ member(u,set_builder(x,set_builder(u,set_builder(z,null_class)))) ),
% 0.15/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.05 fof(f107,plain,(
% 0.15/1.05 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.15/1.05 inference(miniscoping,[status(thm)],[f10])).
% 0.15/1.05 fof(f108,plain,(
% 0.15/1.05 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f107])).
% 0.15/1.05 fof(f110,plain,(
% 0.15/1.05 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/1.05 fof(f122,plain,(
% 0.15/1.05 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.15/1.05 inference(miniscoping,[status(thm)],[f21])).
% 0.15/1.05 fof(f123,plain,(
% 0.15/1.05 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f122])).
% 0.15/1.05 fof(f124,plain,(
% 0.15/1.05 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.15/1.05 inference(miniscoping,[status(thm)],[f22])).
% 0.15/1.05 fof(f125,plain,(
% 0.15/1.05 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f124])).
% 0.15/1.05 fof(f127,plain,(
% 0.15/1.05 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/1.05 fof(f128,plain,(
% 0.15/1.05 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/1.05 fof(f129,plain,(
% 0.15/1.05 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/1.05 fof(f200,plain,(
% 0.15/1.05 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f92])).
% 0.15/1.05 fof(f201,plain,(
% 0.15/1.05 member(u,universal_class)),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f93])).
% 0.15/1.05 fof(f202,plain,(
% 0.15/1.05 ~member(u,set_builder(x,set_builder(u,set_builder(z,null_class))))),
% 0.15/1.05 inference(cnf_transformation,[status(thm)],[f94])).
% 0.15/1.05 fof(f216,plain,(
% 0.15/1.05 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.15/1.05 inference(paramodulation,[status(thm)],[f110,f108])).
% 0.15/1.05 fof(f246,plain,(
% 0.15/1.05 ![X0,X1,X2]: (~member(X0,universal_class)|member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2))))),
% 0.15/1.05 inference(paramodulation,[status(thm)],[f129,f128])).
% 0.15/1.05 fof(f930,plain,(
% 0.15/1.05 ![X0,X1]: (member(u,union(X0,X1))|member(u,intersection(complement(X0),complement(X1))))),
% 0.15/1.05 inference(resolution,[status(thm)],[f246,f201])).
% 0.15/1.05 fof(f1029,plain,(
% 0.15/1.05 ![X0,X1]: (member(u,union(X0,X1))|member(u,complement(X1)))),
% 0.15/1.05 inference(resolution,[status(thm)],[f930,f125])).
% 0.15/1.05 fof(f1030,plain,(
% 0.15/1.05 ![X0,X1]: (member(u,union(X0,X1))|member(u,complement(X0)))),
% 0.15/1.05 inference(resolution,[status(thm)],[f930,f123])).
% 0.15/1.07 fof(f1265,plain,(
% 0.15/1.07 ![X0,X1]: (member(u,set_builder(X0,X1))|member(u,complement(X1)))),
% 0.15/1.07 inference(paramodulation,[status(thm)],[f200,f1029])).
% 0.15/1.07 fof(f1274,plain,(
% 0.15/1.07 ![X0,X1]: (member(u,set_builder(X0,X1))|member(u,complement(singleton(X0))))),
% 0.15/1.07 inference(paramodulation,[status(thm)],[f200,f1030])).
% 0.15/1.07 fof(f1424,plain,(
% 0.15/1.07 member(u,complement(set_builder(u,set_builder(z,null_class))))),
% 0.15/1.07 inference(resolution,[status(thm)],[f1265,f202])).
% 0.15/1.07 fof(f1627,plain,(
% 0.15/1.07 ~member(u,set_builder(u,set_builder(z,null_class)))),
% 0.15/1.07 inference(resolution,[status(thm)],[f1424,f127])).
% 0.15/1.07 fof(f2156,plain,(
% 0.15/1.07 member(u,complement(singleton(u)))),
% 0.15/1.07 inference(resolution,[status(thm)],[f1274,f1627])).
% 0.15/1.07 fof(f2456,plain,(
% 0.15/1.07 ~member(u,singleton(u))),
% 0.15/1.07 inference(resolution,[status(thm)],[f2156,f127])).
% 0.15/1.07 fof(f2462,plain,(
% 0.15/1.07 ~member(u,universal_class)),
% 0.15/1.07 inference(resolution,[status(thm)],[f2456,f216])).
% 0.15/1.07 fof(f2463,plain,(
% 0.15/1.07 $false),
% 0.15/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2462,f201])).
% 0.15/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/1.08 % Elapsed time: 0.271794 seconds
% 0.15/1.08 % CPU time: 1.972568 seconds
% 0.15/1.08 % Total memory used: 146.775 MB
% 0.15/1.08 % Net memory used: 142.310 MB
%------------------------------------------------------------------------------