%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET232-6 : 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 : n018.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 02:11:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET232-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n018.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 05:04:40 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.14/10.40 % Drodi V4.1.1
% 0.14/10.43 % Refutation found
% 0.14/10.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.43 fof(f2,axiom,(
% 0.14/10.43 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.14/10.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.43 fof(f14,axiom,(
% 0.14/10.43 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.14/10.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.43 fof(f17,axiom,(
% 0.14/10.43 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.14/10.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.43 fof(f113,negated_conjecture,(
% 0.14/10.43 ~ subclass(cross_product(x,y),z) ),
% 0.14/10.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.43 fof(f114,negated_conjecture,(
% 0.14/10.43 ~ member(first(not_subclass_element(cross_product(x,y),z)),x) ),
% 0.14/10.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.43 fof(f117,plain,(
% 0.14/10.43 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.14/10.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/10.43 fof(f132,plain,(
% 0.14/10.43 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.14/10.43 inference(miniscoping,[status(thm)],[f14])).
% 0.14/10.43 fof(f133,plain,(
% 0.14/10.43 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.14/10.43 inference(cnf_transformation,[status(thm)],[f132])).
% 0.14/10.43 fof(f137,plain,(
% 0.14/10.43 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.14/10.43 inference(miniscoping,[status(thm)],[f17])).
% 0.14/10.43 fof(f138,plain,(
% 0.14/10.43 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.14/10.43 inference(cnf_transformation,[status(thm)],[f137])).
% 0.14/10.43 fof(f246,plain,(
% 0.14/10.43 ~subclass(cross_product(x,y),z)),
% 0.14/10.43 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/10.43 fof(f247,plain,(
% 0.14/10.43 ~member(first(not_subclass_element(cross_product(x,y),z)),x)),
% 0.14/10.43 inference(cnf_transformation,[status(thm)],[f114])).
% 0.14/10.43 fof(f300,plain,(
% 0.14/10.43 ![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))),
% 0.14/10.43 inference(resolution,[status(thm)],[f138,f117])).
% 0.14/10.43 fof(f328,plain,(
% 0.14/10.43 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)),
% 0.14/10.43 inference(resolution,[status(thm)],[f300,f246])).
% 0.14/10.43 fof(f369,plain,(
% 0.14/10.43 ![X0,X1]: (~member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1))|member(first(not_subclass_element(cross_product(x,y),z)),X0))),
% 0.14/10.43 inference(paramodulation,[status(thm)],[f328,f133])).
% 0.14/10.43 fof(f531,plain,(
% 0.14/10.43 member(first(not_subclass_element(cross_product(x,y),z)),x)|subclass(cross_product(x,y),z)),
% 0.14/10.43 inference(resolution,[status(thm)],[f369,f117])).
% 0.14/10.43 fof(f532,plain,(
% 0.14/10.43 subclass(cross_product(x,y),z)),
% 0.14/10.43 inference(forward_subsumption_resolution,[status(thm)],[f531,f247])).
% 0.14/10.43 fof(f555,plain,(
% 0.14/10.43 $false),
% 0.14/10.43 inference(forward_subsumption_resolution,[status(thm)],[f532,f246])).
% 0.14/10.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.46 % Elapsed time: 0.062476 seconds
% 0.14/10.46 % CPU time: 0.198975 seconds
% 0.14/10.46 % Total memory used: 106.918 MB
% 0.14/10.46 % Net memory used: 106.742 MB
%------------------------------------------------------------------------------