%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET017-6 : 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 : n014.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 02:11:12 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET017-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.35 % Computer : n014.cluster.edu
% 0.02/0.35 % Model : x86_64 x86_64
% 0.02/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.35 % Memory : 8046.5625MB
% 0.02/0.35 % OS : Linux 6.8.0-71-generic
% 0.02/0.35 % CPULimit : 300
% 0.02/0.35 % WCLimit : 300
% 0.02/0.35 % DateTime : Mon Sep 21 04:42:19 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.39 fof(f8,axiom,(
% 0.02/0.39 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f10,axiom,(
% 0.02/0.39 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f12,axiom,(
% 0.02/0.39 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f14,axiom,(
% 0.02/0.39 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f15,axiom,(
% 0.02/0.39 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f92,negated_conjecture,(
% 0.02/0.39 unordered_pair(x,y) = unordered_pair(x,z) ),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f93,negated_conjecture,(
% 0.02/0.39 member(ordered_pair(y,z),cross_product(universal_class,universal_class)) ),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f94,negated_conjecture,(
% 0.02/0.39 y != z ),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f103,plain,(
% 0.02/0.39 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.02/0.39 fof(f104,plain,(
% 0.02/0.39 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.02/0.39 fof(f107,plain,(
% 0.02/0.39 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.02/0.39 fof(f108,plain,(
% 0.02/0.39 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f107])).
% 0.02/0.39 fof(f110,plain,(
% 0.02/0.39 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.02/0.39 fof(f112,plain,(
% 0.02/0.39 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.02/0.39 fof(f113,plain,(
% 0.02/0.39 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f112])).
% 0.02/0.39 fof(f114,plain,(
% 0.02/0.39 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.02/0.39 fof(f115,plain,(
% 0.02/0.39 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f114])).
% 0.02/0.39 fof(f200,plain,(
% 0.02/0.39 unordered_pair(x,y)=unordered_pair(x,z)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f92])).
% 0.02/0.39 fof(f201,plain,(
% 0.02/0.39 member(ordered_pair(y,z),cross_product(universal_class,universal_class))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.02/0.39 fof(f202,plain,(
% 0.02/0.39 ~y=z),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f94])).
% 0.02/0.39 fof(f208,plain,(
% 0.02/0.39 ![X0]: (~member(X0,unordered_pair(x,y))|X0=x|X0=z)),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f200,f104])).
% 0.02/0.39 fof(f209,plain,(
% 0.02/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f110,f104])).
% 0.02/0.39 fof(f210,plain,(
% 0.02/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.02/0.39 inference(duplicate_literals_removal,[status(thm)],[f209])).
% 0.02/0.39 fof(f226,plain,(
% 0.02/0.39 member(y,universal_class)),
% 0.02/0.39 inference(resolution,[status(thm)],[f113,f201])).
% 0.02/0.39 fof(f227,plain,(
% 0.02/0.39 ![X0]: (member(y,unordered_pair(X0,y)))),
% 0.02/0.39 inference(resolution,[status(thm)],[f226,f108])).
% 0.02/0.39 fof(f230,plain,(
% 0.02/0.39 y=x|y=z),
% 0.02/0.39 inference(resolution,[status(thm)],[f227,f208])).
% 0.02/0.39 fof(f233,plain,(
% 0.02/0.39 y=x),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f230,f202])).
% 0.02/0.39 fof(f237,plain,(
% 0.02/0.39 member(ordered_pair(x,z),cross_product(universal_class,universal_class))),
% 0.02/0.39 inference(backward_demodulation,[status(thm)],[f233,f201])).
% 0.02/0.39 fof(f238,plain,(
% 0.02/0.39 unordered_pair(x,x)=unordered_pair(x,z)),
% 0.02/0.39 inference(backward_demodulation,[status(thm)],[f233,f200])).
% 0.02/0.39 fof(f239,plain,(
% 0.02/0.39 ~x=z),
% 0.02/0.39 inference(backward_demodulation,[status(thm)],[f233,f202])).
% 0.02/0.39 fof(f242,plain,(
% 0.02/0.39 singleton(x)=unordered_pair(x,z)),
% 0.02/0.39 inference(forward_demodulation,[status(thm)],[f110,f238])).
% 0.02/0.39 fof(f245,plain,(
% 0.02/0.39 member(z,universal_class)),
% 0.02/0.39 inference(resolution,[status(thm)],[f237,f115])).
% 0.02/0.39 fof(f263,plain,(
% 0.02/0.39 ![X0]: (member(z,unordered_pair(X0,z)))),
% 0.02/0.39 inference(resolution,[status(thm)],[f245,f108])).
% 0.02/0.39 fof(f450,plain,(
% 0.02/0.39 member(z,singleton(x))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f242,f263])).
% 0.02/0.39 fof(f452,plain,(
% 0.02/0.39 z=x),
% 0.02/0.39 inference(resolution,[status(thm)],[f450,f210])).
% 0.02/0.39 fof(f454,plain,(
% 0.02/0.39 $false),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f452,f239])).
% 0.02/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.050910 seconds
% 0.02/0.42 % CPU time: 0.160694 seconds
% 0.02/0.42 % Total memory used: 79.273 MB
% 0.02/0.42 % Net memory used: 79.188 MB
%------------------------------------------------------------------------------