%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET234-6 : 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 : n006.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 02:11:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET234-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 05:02:43 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f2,axiom,(
% 0.12/0.42 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f3,axiom,(
% 0.12/0.42 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f17,axiom,(
% 0.12/0.42 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f113,negated_conjecture,(
% 0.12/0.42 member(ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),z) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f114,negated_conjecture,(
% 0.12/0.42 ~ subclass(cross_product(x,y),z) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f117,plain,(
% 0.12/0.42 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.42 fof(f118,plain,(
% 0.12/0.42 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.42 fof(f137,plain,(
% 0.12/0.42 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f17])).
% 0.12/0.42 fof(f138,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f137])).
% 0.12/0.42 fof(f246,plain,(
% 0.12/0.42 member(ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),z)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/0.42 fof(f247,plain,(
% 0.12/0.42 ~subclass(cross_product(x,y),z)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f114])).
% 0.12/0.42 fof(f265,plain,(
% 0.12/0.42 ![X0,X1,X2]: (ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))=not_subclass_element(cross_product(X0,X1),X2)|subclass(cross_product(X0,X1),X2))),
% 0.12/0.42 inference(resolution,[status(thm)],[f138,f117])).
% 0.12/0.42 fof(f269,plain,(
% 0.12/0.42 ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z)))=not_subclass_element(cross_product(x,y),z)),
% 0.12/0.42 inference(resolution,[status(thm)],[f265,f247])).
% 0.12/0.42 fof(f314,plain,(
% 0.12/0.42 member(not_subclass_element(cross_product(x,y),z),z)),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f269,f246])).
% 0.12/0.42 fof(f322,plain,(
% 0.12/0.42 subclass(cross_product(x,y),z)),
% 0.12/0.42 inference(resolution,[status(thm)],[f314,f118])).
% 0.12/0.42 fof(f326,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f322,f247])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.46 % Elapsed time: 0.063019 seconds
% 0.12/0.46 % CPU time: 0.186537 seconds
% 0.12/0.46 % Total memory used: 105.847 MB
% 0.12/0.46 % Net memory used: 105.750 MB
%------------------------------------------------------------------------------