%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET082-6 : 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 : n020.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 02:11:29 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET082-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.53 % Computer : n020.cluster.edu
% 0.10/5.53 % Model : x86_64 x86_64
% 0.10/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.53 % Memory : 8046.5625MB
% 0.10/5.53 % OS : Linux 6.8.0-71-generic
% 0.10/5.53 % CPULimit : 300
% 0.10/5.53 % WCLimit : 300
% 0.10/5.53 % DateTime : Mon Sep 21 04:51:39 UTC 2026
% 0.10/5.54 % CPUTime :
% 0.10/5.55 % Drodi V4.1.1
% 0.10/5.59 % Refutation found
% 0.10/5.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.59 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.59 fof(f1,axiom,(
% 0.10/5.59 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f4,axiom,(
% 0.10/5.59 (![X]: (subclass(X,universal_class) ))),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f8,axiom,(
% 0.10/5.59 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f12,axiom,(
% 0.10/5.59 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f66,axiom,(
% 0.10/5.59 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f92,negated_conjecture,(
% 0.10/5.59 ~ member(x,universal_class) ),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f93,negated_conjecture,(
% 0.10/5.59 singleton(x) != null_class ),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f94,plain,(
% 0.10/5.59 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.10/5.59 inference(miniscoping,[status(thm)],[f1])).
% 0.10/5.59 fof(f95,plain,(
% 0.10/5.59 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f94])).
% 0.10/5.59 fof(f98,plain,(
% 0.10/5.59 ![X0]: (subclass(X0,universal_class))),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/5.59 fof(f102,plain,(
% 0.10/5.59 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.10/5.59 inference(miniscoping,[status(thm)],[f8])).
% 0.10/5.59 fof(f103,plain,(
% 0.10/5.59 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f102])).
% 0.10/5.59 fof(f109,plain,(
% 0.10/5.59 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/5.59 fof(f168,plain,(
% 0.10/5.59 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f66])).
% 0.10/5.59 fof(f199,plain,(
% 0.10/5.59 ~member(x,universal_class)),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/5.59 fof(f200,plain,(
% 0.10/5.59 ~singleton(x)=null_class),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f93])).
% 0.10/5.59 fof(f215,plain,(
% 0.10/5.59 ![X0,X1]: (X0=null_class|~subclass(X0,X1)|member(regular(X0),X1))),
% 0.10/5.59 inference(resolution,[status(thm)],[f168,f95])).
% 0.10/5.59 fof(f225,plain,(
% 0.10/5.59 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.10/5.59 inference(paramodulation,[status(thm)],[f109,f103])).
% 0.10/5.59 fof(f226,plain,(
% 0.10/5.59 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.10/5.59 inference(duplicate_literals_removal,[status(thm)],[f225])).
% 0.10/5.59 fof(f233,plain,(
% 0.10/5.59 ![X0]: (regular(singleton(X0))=X0|singleton(X0)=null_class)),
% 0.10/5.59 inference(resolution,[status(thm)],[f226,f168])).
% 0.10/5.59 fof(f403,plain,(
% 0.10/5.59 ![X0]: (X0=null_class|member(regular(X0),universal_class))),
% 0.10/5.59 inference(resolution,[status(thm)],[f215,f98])).
% 0.10/5.59 fof(f406,plain,(
% 0.10/5.59 ![X0]: (singleton(X0)=null_class|member(X0,universal_class)|singleton(X0)=null_class)),
% 0.10/5.59 inference(paramodulation,[status(thm)],[f233,f403])).
% 0.10/5.59 fof(f407,plain,(
% 0.10/5.59 ![X0]: (singleton(X0)=null_class|member(X0,universal_class))),
% 0.10/5.59 inference(duplicate_literals_removal,[status(thm)],[f406])).
% 0.10/5.59 fof(f409,plain,(
% 0.10/5.59 singleton(x)=null_class),
% 0.10/5.59 inference(resolution,[status(thm)],[f407,f199])).
% 0.10/5.59 fof(f411,plain,(
% 0.10/5.59 $false),
% 0.10/5.59 inference(forward_subsumption_resolution,[status(thm)],[f409,f200])).
% 0.10/5.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.62 % Elapsed time: 0.064674 seconds
% 0.13/5.62 % CPU time: 0.229966 seconds
% 0.13/5.62 % Total memory used: 106.793 MB
% 0.13/5.62 % Net memory used: 106.615 MB
%------------------------------------------------------------------------------