%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET103-6 : 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 : n016.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 02:11:34 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET103-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 04:57:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f1,axiom,(
% 0.11/0.42 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f4,axiom,(
% 0.11/0.42 (![X]: (subclass(X,universal_class) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f8,axiom,(
% 0.11/0.42 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f12,axiom,(
% 0.11/0.42 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f13,axiom,(
% 0.11/0.42 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f66,axiom,(
% 0.11/0.42 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f92,negated_conjecture,(
% 0.11/0.42 unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f93,negated_conjecture,(
% 0.11/0.42 ~ member(y,universal_class) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f94,plain,(
% 0.11/0.42 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.42 fof(f95,plain,(
% 0.11/0.42 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f94])).
% 0.11/0.42 fof(f98,plain,(
% 0.11/0.42 ![X0]: (subclass(X0,universal_class))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.42 fof(f102,plain,(
% 0.11/0.42 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.42 fof(f103,plain,(
% 0.11/0.42 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f102])).
% 0.11/0.42 fof(f109,plain,(
% 0.11/0.42 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.42 fof(f110,plain,(
% 0.11/0.42 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.42 fof(f168,plain,(
% 0.11/0.42 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.42 fof(f199,plain,(
% 0.11/0.42 ~unordered_pair(singleton(x),unordered_pair(x,null_class))=ordered_pair(x,y)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f92])).
% 0.11/0.42 fof(f200,plain,(
% 0.11/0.42 ~member(y,universal_class)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f93])).
% 0.11/0.42 fof(f207,plain,(
% 0.11/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f109,f103])).
% 0.11/0.42 fof(f208,plain,(
% 0.11/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.11/0.42 inference(duplicate_literals_removal,[status(thm)],[f207])).
% 0.11/0.42 fof(f216,plain,(
% 0.11/0.42 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.11/0.42 inference(resolution,[status(thm)],[f95,f98])).
% 0.11/0.42 fof(f297,plain,(
% 0.11/0.42 ![X0]: (singleton(X0)=null_class|regular(singleton(X0))=X0)),
% 0.11/0.42 inference(resolution,[status(thm)],[f168,f208])).
% 0.11/0.42 fof(f306,plain,(
% 0.11/0.42 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0))|singleton(X0)=null_class)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f297,f168])).
% 0.11/0.42 fof(f307,plain,(
% 0.11/0.42 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0)))),
% 0.11/0.42 inference(duplicate_literals_removal,[status(thm)],[f306])).
% 0.11/0.42 fof(f352,plain,(
% 0.11/0.42 ![X0]: (~member(y,X0))),
% 0.11/0.42 inference(resolution,[status(thm)],[f216,f200])).
% 0.11/0.42 fof(f356,plain,(
% 0.11/0.42 singleton(y)=null_class),
% 0.11/0.42 inference(resolution,[status(thm)],[f352,f307])).
% 0.11/0.42 fof(f372,plain,(
% 0.11/0.42 ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,null_class))=ordered_pair(X0,y))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f356,f110])).
% 0.11/0.42 fof(f387,plain,(
% 0.11/0.42 ~ordered_pair(x,y)=ordered_pair(x,y)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f372,f199])).
% 0.11/0.42 fof(f388,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f387])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46 % Elapsed time: 0.069013 seconds
% 0.11/0.46 % CPU time: 0.234958 seconds
% 0.11/0.46 % Total memory used: 99.328 MB
% 0.11/0.46 % Net memory used: 99.194 MB
%------------------------------------------------------------------------------