%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET136-6 : 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 : n001.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 10.57s 1.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET136-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 05:01:14 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 10.57/1.89 % Refutation found
% 10.57/1.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.57/1.89 % SZS output start CNFRefutation for theBenchmark
% 10.57/1.89 fof(f1,axiom,(
% 10.57/1.89 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f4,axiom,(
% 10.57/1.89 (![X]: (subclass(X,universal_class) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f9,axiom,(
% 10.57/1.89 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f12,axiom,(
% 10.57/1.89 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f21,axiom,(
% 10.57/1.89 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f22,axiom,(
% 10.57/1.89 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f24,axiom,(
% 10.57/1.89 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f25,axiom,(
% 10.57/1.89 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f26,axiom,(
% 10.57/1.89 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f66,axiom,(
% 10.57/1.89 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f92,axiom,(
% 10.57/1.89 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f93,negated_conjecture,(
% 10.57/1.89 member(u,universal_class) ),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f94,negated_conjecture,(
% 10.57/1.89 set_builder(x,set_builder(y,set_builder(u,null_class))) = null_class ),
% 10.57/1.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.57/1.89 fof(f95,plain,(
% 10.57/1.89 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 10.57/1.89 inference(miniscoping,[status(thm)],[f1])).
% 10.57/1.89 fof(f96,plain,(
% 10.57/1.89 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f95])).
% 10.57/1.89 fof(f99,plain,(
% 10.57/1.89 ![X0]: (subclass(X0,universal_class))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f4])).
% 10.57/1.89 fof(f105,plain,(
% 10.57/1.89 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 10.57/1.89 inference(miniscoping,[status(thm)],[f9])).
% 10.57/1.89 fof(f106,plain,(
% 10.57/1.89 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f105])).
% 10.57/1.89 fof(f110,plain,(
% 10.57/1.89 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f12])).
% 10.57/1.89 fof(f122,plain,(
% 10.57/1.89 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 10.57/1.89 inference(miniscoping,[status(thm)],[f21])).
% 10.57/1.89 fof(f123,plain,(
% 10.57/1.89 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f122])).
% 10.57/1.89 fof(f124,plain,(
% 10.57/1.89 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 10.57/1.89 inference(miniscoping,[status(thm)],[f22])).
% 10.57/1.89 fof(f125,plain,(
% 10.57/1.89 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f124])).
% 10.57/1.89 fof(f127,plain,(
% 10.57/1.89 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f24])).
% 10.57/1.89 fof(f128,plain,(
% 10.57/1.89 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f25])).
% 10.57/1.89 fof(f129,plain,(
% 10.57/1.89 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f26])).
% 10.57/1.89 fof(f169,plain,(
% 10.57/1.89 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f66])).
% 10.57/1.89 fof(f200,plain,(
% 10.57/1.89 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f92])).
% 10.57/1.89 fof(f201,plain,(
% 10.57/1.89 member(u,universal_class)),
% 10.57/1.89 inference(cnf_transformation,[status(thm)],[f93])).
% 10.57/1.91 fof(f202,plain,(
% 10.57/1.91 set_builder(x,set_builder(y,set_builder(u,null_class)))=null_class),
% 10.57/1.91 inference(cnf_transformation,[status(thm)],[f94])).
% 10.57/1.91 fof(f206,plain,(
% 10.57/1.91 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 10.57/1.91 inference(resolution,[status(thm)],[f99,f96])).
% 10.57/1.91 fof(f212,plain,(
% 10.57/1.91 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 10.57/1.91 inference(resolution,[status(thm)],[f206,f169])).
% 10.57/1.91 fof(f226,plain,(
% 10.57/1.91 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 10.57/1.91 inference(resolution,[status(thm)],[f127,f169])).
% 10.57/1.91 fof(f246,plain,(
% 10.57/1.91 ![X0]: (member(u,unordered_pair(u,X0)))),
% 10.57/1.91 inference(resolution,[status(thm)],[f106,f201])).
% 10.57/1.91 fof(f261,plain,(
% 10.57/1.91 member(u,singleton(u))),
% 10.57/1.91 inference(paramodulation,[status(thm)],[f110,f246])).
% 10.57/1.91 fof(f884,plain,(
% 10.57/1.91 ![X0]: (member(u,complement(X0))|member(u,X0))),
% 10.57/1.91 inference(resolution,[status(thm)],[f128,f201])).
% 10.57/1.91 fof(f977,plain,(
% 10.57/1.91 ![X0,X1]: (member(u,union(X0,X1))|member(u,intersection(complement(X0),complement(X1))))),
% 10.57/1.91 inference(paramodulation,[status(thm)],[f129,f884])).
% 10.57/1.91 fof(f2540,plain,(
% 10.57/1.91 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 10.57/1.91 inference(resolution,[status(thm)],[f226,f212])).
% 10.57/1.91 fof(f2545,plain,(
% 10.57/1.91 complement(universal_class)=null_class),
% 10.57/1.91 inference(duplicate_literals_removal,[status(thm)],[f2540])).
% 10.57/1.91 fof(f2559,plain,(
% 10.57/1.91 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 10.57/1.91 inference(paramodulation,[status(thm)],[f2545,f127])).
% 10.57/1.91 fof(f2560,plain,(
% 10.57/1.91 ![X0]: (~member(X0,null_class))),
% 10.57/1.91 inference(forward_subsumption_resolution,[status(thm)],[f2559,f206])).
% 10.57/1.91 fof(f4387,plain,(
% 10.57/1.91 ![X0,X1]: (member(u,union(X0,X1))|member(u,complement(X1)))),
% 10.57/1.91 inference(resolution,[status(thm)],[f977,f125])).
% 10.57/1.91 fof(f4388,plain,(
% 10.57/1.91 ![X0,X1]: (member(u,union(X0,X1))|member(u,complement(X0)))),
% 10.57/1.91 inference(resolution,[status(thm)],[f977,f123])).
% 10.57/1.91 fof(f4633,plain,(
% 10.57/1.91 ![X0,X1]: (member(u,set_builder(X0,X1))|member(u,complement(X1)))),
% 10.57/1.91 inference(paramodulation,[status(thm)],[f200,f4387])).
% 10.57/1.91 fof(f4649,plain,(
% 10.57/1.91 ![X0,X1]: (member(u,set_builder(X0,X1))|member(u,complement(singleton(X0))))),
% 10.57/1.91 inference(paramodulation,[status(thm)],[f200,f4388])).
% 10.57/1.91 fof(f4679,plain,(
% 10.57/1.91 member(u,null_class)|member(u,complement(set_builder(y,set_builder(u,null_class))))),
% 10.57/1.91 inference(paramodulation,[status(thm)],[f202,f4633])).
% 10.57/1.91 fof(f4681,plain,(
% 10.57/1.91 member(u,complement(set_builder(y,set_builder(u,null_class))))),
% 10.57/1.91 inference(forward_subsumption_resolution,[status(thm)],[f4679,f2560])).
% 10.57/1.91 fof(f4801,plain,(
% 10.57/1.91 ~member(u,set_builder(y,set_builder(u,null_class)))),
% 10.57/1.91 inference(resolution,[status(thm)],[f4681,f127])).
% 10.57/1.91 fof(f4811,plain,(
% 10.57/1.91 member(u,complement(set_builder(u,null_class)))),
% 10.57/1.91 inference(resolution,[status(thm)],[f4801,f4633])).
% 10.57/1.91 fof(f4817,plain,(
% 10.57/1.91 ~member(u,set_builder(u,null_class))),
% 10.57/1.91 inference(resolution,[status(thm)],[f4811,f127])).
% 10.57/1.91 fof(f7600,plain,(
% 10.57/1.91 member(u,complement(singleton(u)))),
% 10.57/1.91 inference(resolution,[status(thm)],[f4649,f4817])).
% 10.57/1.91 fof(f7631,plain,(
% 10.57/1.91 ~member(u,singleton(u))),
% 10.57/1.91 inference(resolution,[status(thm)],[f7600,f127])).
% 10.57/1.91 fof(f7642,plain,(
% 10.57/1.91 $false),
% 10.57/1.91 inference(forward_subsumption_resolution,[status(thm)],[f7631,f261])).
% 10.57/1.91 % SZS output end CNFRefutation for theBenchmark.p
% 1.93/1.93 % Elapsed time: 1.469700 seconds
% 1.93/1.93 % CPU time: 11.310234 seconds
% 1.93/1.93 % Total memory used: 218.294 MB
% 1.93/1.93 % Net memory used: 203.595 MB
%------------------------------------------------------------------------------