%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET017-7 : 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 : n017.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 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET017-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:37:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f8,axiom,(
% 0.10/0.42 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f10,axiom,(
% 0.10/0.42 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f12,axiom,(
% 0.10/0.42 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f14,axiom,(
% 0.10/0.42 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f93,axiom,(
% 0.10/0.42 (![X,Y,U,V]: (( ~ member(ordered_pair(X,Y),cross_product(U,V))| member(Y,unordered_pair(X,Y)) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f114,negated_conjecture,(
% 0.10/0.42 unordered_pair(x,y) = unordered_pair(x,z) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f115,negated_conjecture,(
% 0.10/0.42 member(ordered_pair(y,z),cross_product(universal_class,universal_class)) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f116,negated_conjecture,(
% 0.10/0.42 y != z ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f125,plain,(
% 0.10/0.42 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f8])).
% 0.10/0.42 fof(f126,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f125])).
% 0.10/0.42 fof(f129,plain,(
% 0.10/0.42 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f10])).
% 0.10/0.42 fof(f130,plain,(
% 0.10/0.42 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.42 fof(f132,plain,(
% 0.10/0.42 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.42 fof(f134,plain,(
% 0.10/0.42 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f14])).
% 0.10/0.42 fof(f135,plain,(
% 0.10/0.42 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f134])).
% 0.10/0.42 fof(f224,plain,(
% 0.10/0.42 ![X,Y]: ((![U,V]: ~member(ordered_pair(X,Y),cross_product(U,V)))|member(Y,unordered_pair(X,Y)))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f93])).
% 0.10/0.42 fof(f225,plain,(
% 0.10/0.42 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,unordered_pair(X0,X1)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f224])).
% 0.10/0.42 fof(f252,plain,(
% 0.10/0.42 unordered_pair(x,y)=unordered_pair(x,z)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f114])).
% 0.10/0.42 fof(f253,plain,(
% 0.10/0.42 member(ordered_pair(y,z),cross_product(universal_class,universal_class))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f115])).
% 0.10/0.42 fof(f254,plain,(
% 0.10/0.42 ~y=z),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.42 fof(f265,plain,(
% 0.10/0.42 ![X0]: (~member(X0,unordered_pair(x,y))|X0=x|X0=z)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f252,f126])).
% 0.10/0.42 fof(f270,plain,(
% 0.10/0.42 member(y,universal_class)),
% 0.10/0.42 inference(resolution,[status(thm)],[f135,f253])).
% 0.10/0.42 fof(f280,plain,(
% 0.10/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f132,f126])).
% 0.10/0.42 fof(f282,plain,(
% 0.10/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.10/0.42 inference(duplicate_literals_removal,[status(thm)],[f280])).
% 0.10/0.42 fof(f283,plain,(
% 0.10/0.42 ![X0]: (member(y,unordered_pair(X0,y)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f270,f130])).
% 0.10/0.42 fof(f286,plain,(
% 0.10/0.42 y=x|y=z),
% 0.10/0.42 inference(resolution,[status(thm)],[f283,f265])).
% 0.10/0.42 fof(f291,plain,(
% 0.10/0.42 y=x),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f286,f254])).
% 0.10/0.42 fof(f295,plain,(
% 0.10/0.42 member(ordered_pair(x,z),cross_product(universal_class,universal_class))),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f291,f253])).
% 0.10/0.42 fof(f296,plain,(
% 0.10/0.42 unordered_pair(x,x)=unordered_pair(x,z)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f291,f252])).
% 0.10/0.42 fof(f297,plain,(
% 0.10/0.42 ~x=z),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f291,f254])).
% 0.10/0.42 fof(f300,plain,(
% 0.10/0.42 singleton(x)=unordered_pair(x,z)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f132,f296])).
% 0.10/0.42 fof(f321,plain,(
% 0.10/0.42 member(z,unordered_pair(x,z))),
% 0.10/0.42 inference(resolution,[status(thm)],[f295,f225])).
% 0.10/0.42 fof(f457,plain,(
% 0.10/0.42 member(z,singleton(x))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f300,f321])).
% 0.10/0.42 fof(f458,plain,(
% 0.10/0.42 z=x),
% 0.10/0.42 inference(resolution,[status(thm)],[f457,f282])).
% 0.10/0.42 fof(f459,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f458,f297])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.059154 seconds
% 0.10/0.44 % CPU time: 0.187587 seconds
% 0.10/0.44 % Total memory used: 99.764 MB
% 0.10/0.44 % Net memory used: 99.684 MB
%------------------------------------------------------------------------------