%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET108-6 : 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 : n009.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 02:11:34 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET108-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41 % Computer : n009.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 21 04:53:42 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.44 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f17,axiom,(
% 0.13/0.46 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f92,negated_conjecture,(
% 0.13/0.46 member(ordered_pair(y,z),cross_product(universal_class,universal_class)) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f93,negated_conjecture,(
% 0.13/0.46 ~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f116,plain,(
% 0.13/0.46 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f17])).
% 0.13/0.46 fof(f117,plain,(
% 0.13/0.46 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.46 fof(f199,plain,(
% 0.13/0.46 member(ordered_pair(y,z),cross_product(universal_class,universal_class))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.46 fof(f200,plain,(
% 0.13/0.46 ~member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f93])).
% 0.13/0.46 fof(f206,plain,(
% 0.13/0.46 ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z)))=ordered_pair(y,z)),
% 0.13/0.46 inference(resolution,[status(thm)],[f117,f199])).
% 0.13/0.46 fof(f252,plain,(
% 0.13/0.46 ~member(ordered_pair(y,z),cross_product(universal_class,universal_class))),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f206,f200])).
% 0.13/0.46 fof(f255,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f252,f199])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.51 % Elapsed time: 0.080743 seconds
% 0.13/0.51 % CPU time: 0.101975 seconds
% 0.13/0.51 % Total memory used: 3.352 MB
% 0.13/0.51 % Net memory used: 3.348 MB
%------------------------------------------------------------------------------