%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET072-7 : 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 : 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 02:11:26 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET072-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 04:50:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f8,axiom,(
% 0.12/0.38 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f9,axiom,(
% 0.12/0.38 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f10,axiom,(
% 0.12/0.38 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f12,axiom,(
% 0.12/0.38 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f14,axiom,(
% 0.12/0.38 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,axiom,(
% 0.12/0.38 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f108,axiom,(
% 0.12/0.38 (![X,Y]: (unordered_pair(X,Y) = unordered_pair(Y,X) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f115,negated_conjecture,(
% 0.12/0.38 unordered_pair(x,z) = unordered_pair(y,z) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f116,negated_conjecture,(
% 0.12/0.38 member(ordered_pair(x,y),cross_product(universal_class,universal_class)) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f117,negated_conjecture,(
% 0.12/0.38 x != y ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f126,plain,(
% 0.12/0.38 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.38 fof(f127,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f126])).
% 0.12/0.38 fof(f128,plain,(
% 0.12/0.38 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.38 fof(f129,plain,(
% 0.12/0.38 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f128])).
% 0.12/0.38 fof(f130,plain,(
% 0.12/0.38 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f10])).
% 0.12/0.38 fof(f131,plain,(
% 0.12/0.38 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f130])).
% 0.12/0.38 fof(f133,plain,(
% 0.12/0.38 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f135,plain,(
% 0.12/0.38 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.38 fof(f136,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/0.38 fof(f137,plain,(
% 0.12/0.38 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.38 fof(f138,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f137])).
% 0.12/0.38 fof(f244,plain,(
% 0.12/0.38 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f108])).
% 0.12/0.38 fof(f255,plain,(
% 0.12/0.38 unordered_pair(x,z)=unordered_pair(y,z)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f115])).
% 0.12/0.38 fof(f256,plain,(
% 0.12/0.38 member(ordered_pair(x,y),cross_product(universal_class,universal_class))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f116])).
% 0.12/0.38 fof(f257,plain,(
% 0.12/0.38 ~x=y),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f117])).
% 0.12/0.38 fof(f265,plain,(
% 0.12/0.38 unordered_pair(x,z)=unordered_pair(z,y)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f255,f244])).
% 0.12/0.38 fof(f275,plain,(
% 0.12/0.38 ![X0]: (~member(X0,unordered_pair(x,z))|X0=y|X0=z)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f255,f127])).
% 0.12/0.38 fof(f280,plain,(
% 0.12/0.38 member(x,universal_class)),
% 0.12/0.38 inference(resolution,[status(thm)],[f136,f256])).
% 0.12/0.38 fof(f291,plain,(
% 0.12/0.38 ![X0]: (member(x,unordered_pair(x,X0)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f280,f129])).
% 0.12/0.39 fof(f323,plain,(
% 0.12/0.39 member(y,universal_class)),
% 0.12/0.39 inference(resolution,[status(thm)],[f138,f256])).
% 0.12/0.39 fof(f333,plain,(
% 0.12/0.39 ![X0]: (member(y,unordered_pair(X0,y)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f323,f131])).
% 0.12/0.39 fof(f341,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f133,f127])).
% 0.12/0.39 fof(f345,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.12/0.39 inference(duplicate_literals_removal,[status(thm)],[f341])).
% 0.12/0.39 fof(f365,plain,(
% 0.12/0.39 member(y,unordered_pair(x,z))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f265,f333])).
% 0.12/0.39 fof(f369,plain,(
% 0.12/0.39 x=y|x=z),
% 0.12/0.39 inference(resolution,[status(thm)],[f275,f291])).
% 0.12/0.39 fof(f374,plain,(
% 0.12/0.39 member(y,unordered_pair(x,x))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f375,f365])).
% 0.12/0.39 fof(f375,plain,(
% 0.12/0.39 x=z),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f369,f257])).
% 0.12/0.39 fof(f389,plain,(
% 0.12/0.39 member(y,singleton(x))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f133,f374])).
% 0.12/0.39 fof(f412,plain,(
% 0.12/0.39 y=x),
% 0.12/0.39 inference(resolution,[status(thm)],[f389,f345])).
% 0.12/0.39 fof(f414,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f412,f257])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.053311 seconds
% 0.12/0.42 % CPU time: 0.188105 seconds
% 0.12/0.42 % Total memory used: 106.699 MB
% 0.12/0.42 % Net memory used: 106.579 MB
%------------------------------------------------------------------------------