%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET118-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:11:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET118-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n010.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:54:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f16,axiom,(
% 0.09/0.39 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f95,axiom,(
% 0.09/0.39 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,universal_class) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f164,negated_conjecture,(
% 0.09/0.39 member(x,cross_product(universal_class,universal_class)) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f165,negated_conjecture,(
% 0.09/0.39 ~ member(x,universal_class) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f187,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f277,plain,(
% 0.09/0.39 ![V]: ((![U,X,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,universal_class))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f95])).
% 0.09/0.39 fof(f278,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,universal_class))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f277])).
% 0.09/0.39 fof(f362,plain,(
% 0.09/0.39 member(x,cross_product(universal_class,universal_class))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f164])).
% 0.09/0.39 fof(f363,plain,(
% 0.09/0.39 ~member(x,universal_class)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f165])).
% 0.09/0.39 fof(f367,plain,(
% 0.09/0.39 ![X0,X1]: (~member(X0,X1)|member(ordered_pair(X0,x),cross_product(X1,cross_product(universal_class,universal_class))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f187,f362])).
% 0.09/0.39 fof(f368,plain,(
% 0.09/0.39 member(ordered_pair(x,x),cross_product(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f367,f362])).
% 0.09/0.39 fof(f369,plain,(
% 0.09/0.39 member(x,universal_class)),
% 0.09/0.39 inference(resolution,[status(thm)],[f368,f278])).
% 0.09/0.39 fof(f375,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f369,f363])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.060845 seconds
% 0.11/0.42 % CPU time: 0.152305 seconds
% 0.11/0.42 % Total memory used: 107.387 MB
% 0.11/0.42 % Net memory used: 107.309 MB
%------------------------------------------------------------------------------