%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET021-6 : 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 : n008.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 02:11:14 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET021-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:44:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.40 fof(f8,axiom,(
% 0.02/0.40 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f9,axiom,(
% 0.02/0.40 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f12,axiom,(
% 0.02/0.40 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f14,axiom,(
% 0.02/0.40 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f15,axiom,(
% 0.02/0.40 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f16,axiom,(
% 0.02/0.40 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f17,axiom,(
% 0.02/0.40 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f92,negated_conjecture,(
% 0.02/0.40 member(ordered_pair(u,v),cross_product(universal_class,universal_class)) ),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f93,negated_conjecture,(
% 0.02/0.40 second(ordered_pair(u,v)) != v ),
% 0.02/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f102,plain,(
% 0.02/0.40 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.02/0.40 fof(f103,plain,(
% 0.02/0.40 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f102])).
% 0.02/0.40 fof(f104,plain,(
% 0.02/0.40 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.02/0.40 fof(f105,plain,(
% 0.02/0.40 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.02/0.40 fof(f109,plain,(
% 0.02/0.40 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.02/0.40 fof(f111,plain,(
% 0.02/0.40 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f14])).
% 0.02/0.40 fof(f112,plain,(
% 0.02/0.40 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f111])).
% 0.02/0.40 fof(f113,plain,(
% 0.02/0.40 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f15])).
% 0.02/0.40 fof(f114,plain,(
% 0.02/0.40 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f113])).
% 0.02/0.40 fof(f115,plain,(
% 0.02/0.40 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.02/0.40 fof(f116,plain,(
% 0.02/0.40 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.02/0.40 fof(f117,plain,(
% 0.02/0.40 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.02/0.40 fof(f199,plain,(
% 0.02/0.40 member(ordered_pair(u,v),cross_product(universal_class,universal_class))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.02/0.40 fof(f200,plain,(
% 0.02/0.40 ~second(ordered_pair(u,v))=v),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f93])).
% 0.02/0.40 fof(f207,plain,(
% 0.02/0.40 member(u,universal_class)),
% 0.02/0.40 inference(resolution,[status(thm)],[f112,f199])).
% 0.02/0.40 fof(f208,plain,(
% 0.02/0.40 member(v,universal_class)),
% 0.02/0.40 inference(resolution,[status(thm)],[f114,f199])).
% 0.02/0.40 fof(f222,plain,(
% 0.02/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.02/0.40 inference(paramodulation,[status(thm)],[f109,f103])).
% 0.02/0.40 fof(f223,plain,(
% 0.02/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.02/0.40 inference(duplicate_literals_removal,[status(thm)],[f222])).
% 0.02/0.40 fof(f231,plain,(
% 0.02/0.40 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f109,f105])).
% 0.02/0.42 fof(f278,plain,(
% 0.02/0.42 ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v)))=ordered_pair(u,v)),
% 0.02/0.42 inference(resolution,[status(thm)],[f117,f199])).
% 0.02/0.42 fof(f288,plain,(
% 0.02/0.42 ![X0,X1]: (~member(ordered_pair(u,v),cross_product(X0,X1))|member(second(ordered_pair(u,v)),X1))),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f278,f114])).
% 0.02/0.42 fof(f293,plain,(
% 0.02/0.42 ![X0,X1]: (member(second(ordered_pair(u,v)),X0)|~member(u,X1)|~member(v,X0))),
% 0.02/0.42 inference(resolution,[status(thm)],[f288,f115])).
% 0.02/0.42 fof(f296,plain,(
% 0.02/0.42 ![X0]: (member(second(ordered_pair(u,v)),X0)|~member(v,X0))),
% 0.02/0.42 inference(resolution,[status(thm)],[f293,f207])).
% 0.02/0.42 fof(f302,plain,(
% 0.02/0.42 member(second(ordered_pair(u,v)),singleton(v))|~member(v,universal_class)),
% 0.02/0.42 inference(resolution,[status(thm)],[f296,f231])).
% 0.02/0.42 fof(f306,plain,(
% 0.02/0.42 member(second(ordered_pair(u,v)),singleton(v))),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f302,f208])).
% 0.02/0.42 fof(f309,plain,(
% 0.02/0.42 second(ordered_pair(u,v))=v),
% 0.02/0.42 inference(resolution,[status(thm)],[f306,f223])).
% 0.02/0.42 fof(f310,plain,(
% 0.02/0.42 $false),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f309,f200])).
% 0.02/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.064207 seconds
% 0.02/0.42 % CPU time: 0.273736 seconds
% 0.02/0.42 % Total memory used: 108.536 MB
% 0.02/0.42 % Net memory used: 108.138 MB
%------------------------------------------------------------------------------