%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET072-6 : 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 : n026.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 02:11:26 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET072-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 04:53:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f8,axiom,(
% 0.11/0.41 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,axiom,(
% 0.11/0.41 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,axiom,(
% 0.11/0.41 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,axiom,(
% 0.11/0.41 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f15,axiom,(
% 0.11/0.41 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f92,negated_conjecture,(
% 0.11/0.41 unordered_pair(x,z) = unordered_pair(y,z) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f93,negated_conjecture,(
% 0.11/0.41 member(ordered_pair(x,y),cross_product(universal_class,universal_class)) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f94,negated_conjecture,(
% 0.11/0.41 x != y ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f103,plain,(
% 0.11/0.41 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.41 fof(f104,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.41 fof(f105,plain,(
% 0.11/0.41 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f9])).
% 0.11/0.41 fof(f106,plain,(
% 0.11/0.41 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f105])).
% 0.11/0.41 fof(f110,plain,(
% 0.11/0.41 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f112,plain,(
% 0.11/0.41 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f14])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f112])).
% 0.11/0.41 fof(f114,plain,(
% 0.11/0.41 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f15])).
% 0.11/0.41 fof(f115,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.11/0.41 fof(f200,plain,(
% 0.11/0.41 unordered_pair(x,z)=unordered_pair(y,z)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f92])).
% 0.11/0.41 fof(f201,plain,(
% 0.11/0.41 member(ordered_pair(x,y),cross_product(universal_class,universal_class))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f93])).
% 0.11/0.41 fof(f202,plain,(
% 0.11/0.41 ~x=y),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f94])).
% 0.11/0.41 fof(f210,plain,(
% 0.11/0.41 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f110,f104])).
% 0.11/0.41 fof(f211,plain,(
% 0.11/0.41 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f210])).
% 0.11/0.41 fof(f228,plain,(
% 0.11/0.41 member(x,universal_class)),
% 0.11/0.41 inference(resolution,[status(thm)],[f113,f201])).
% 0.11/0.41 fof(f232,plain,(
% 0.11/0.41 ![X0]: (member(x,unordered_pair(x,X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f228,f106])).
% 0.11/0.41 fof(f247,plain,(
% 0.11/0.41 member(x,unordered_pair(y,z))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f200,f232])).
% 0.11/0.41 fof(f249,plain,(
% 0.11/0.41 x=y|x=z),
% 0.11/0.41 inference(resolution,[status(thm)],[f247,f104])).
% 0.11/0.41 fof(f255,plain,(
% 0.11/0.41 member(ordered_pair(z,y),cross_product(universal_class,universal_class))),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f259,f201])).
% 0.11/0.41 fof(f256,plain,(
% 0.11/0.41 unordered_pair(z,z)=unordered_pair(y,z)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f259,f200])).
% 0.11/0.41 fof(f257,plain,(
% 0.11/0.41 ~z=y),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f259,f202])).
% 0.11/0.41 fof(f259,plain,(
% 0.11/0.41 x=z),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f249,f202])).
% 0.11/0.41 fof(f263,plain,(
% 0.11/0.41 singleton(z)=unordered_pair(y,z)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f110,f256])).
% 0.11/0.41 fof(f275,plain,(
% 0.11/0.41 member(y,universal_class)),
% 0.11/0.41 inference(resolution,[status(thm)],[f115,f255])).
% 0.11/0.41 fof(f279,plain,(
% 0.11/0.41 ![X0]: (member(y,unordered_pair(y,X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f275,f106])).
% 0.11/0.41 fof(f307,plain,(
% 0.11/0.41 member(y,singleton(z))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f263,f279])).
% 0.11/0.41 fof(f311,plain,(
% 0.11/0.41 y=z),
% 0.11/0.41 inference(resolution,[status(thm)],[f307,f211])).
% 0.11/0.41 fof(f312,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f311,f257])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.063193 seconds
% 0.11/0.44 % CPU time: 0.194761 seconds
% 0.11/0.44 % Total memory used: 105.498 MB
% 0.11/0.44 % Net memory used: 105.384 MB
%------------------------------------------------------------------------------