%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET095-6 : 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 : n007.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 02:11:32 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET095-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:50:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,axiom,(
% 0.12/0.39 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f92,negated_conjecture,(
% 0.12/0.39 member(x,y) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f93,negated_conjecture,(
% 0.12/0.40 ~ subclass(singleton(x),y) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f94,plain,(
% 0.12/0.40 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.40 fof(f95,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f94])).
% 0.12/0.40 fof(f96,plain,(
% 0.12/0.40 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f97,plain,(
% 0.12/0.40 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.40 fof(f103,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f102])).
% 0.12/0.40 fof(f109,plain,(
% 0.12/0.40 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f199,plain,(
% 0.12/0.40 member(x,y)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.12/0.40 fof(f200,plain,(
% 0.12/0.40 ~subclass(singleton(x),y)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f93])).
% 0.12/0.40 fof(f201,plain,(
% 0.12/0.40 ![X0]: (subclass(X0,X0))),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f99])).
% 0.12/0.40 fof(f212,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (X0=X1|X0=X2|~subclass(X3,unordered_pair(X1,X2))|~member(X0,X3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f103,f95])).
% 0.12/0.40 fof(f223,plain,(
% 0.12/0.40 ![X0,X1,X2]: (X0=X1|X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f109,f212])).
% 0.12/0.40 fof(f224,plain,(
% 0.12/0.40 ![X0,X1,X2]: (X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 0.12/0.40 inference(duplicate_literals_removal,[status(thm)],[f223])).
% 0.12/0.40 fof(f225,plain,(
% 0.12/0.40 ![X0,X1]: (X0=X1|~member(X0,singleton(X1)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f224,f201])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f225,f96])).
% 0.12/0.40 fof(f228,plain,(
% 0.12/0.40 not_subclass_element(singleton(x),y)=x),
% 0.12/0.40 inference(resolution,[status(thm)],[f226,f200])).
% 0.12/0.40 fof(f233,plain,(
% 0.12/0.40 ~member(x,y)|subclass(singleton(x),y)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f228,f97])).
% 0.12/0.40 fof(f235,plain,(
% 0.12/0.40 subclass(singleton(x),y)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f233,f199])).
% 0.12/0.40 fof(f264,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f235,f200])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.059606 seconds
% 0.12/0.43 % CPU time: 0.175008 seconds
% 0.12/0.43 % Total memory used: 104.981 MB
% 0.12/0.43 % Net memory used: 104.878 MB
%------------------------------------------------------------------------------