%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET238-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.13s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET238-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/10.37 % Computer : n017.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Mon Sep 21 04:58:08 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.39 % Drodi V4.1.1
% 0.13/10.41 % Refutation found
% 0.13/10.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.41 fof(f17,axiom,(
% 0.13/10.41 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f21,axiom,(
% 0.13/10.41 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f29,axiom,(
% 0.13/10.41 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f113,negated_conjecture,(
% 0.13/10.41 member(z,restrict(xr,x,y)) ),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f114,negated_conjecture,(
% 0.13/10.41 ~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)) ),
% 0.13/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.41 fof(f137,plain,(
% 0.13/10.41 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.13/10.41 inference(miniscoping,[status(thm)],[f17])).
% 0.13/10.41 fof(f138,plain,(
% 0.13/10.41 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f137])).
% 0.13/10.41 fof(f142,plain,(
% 0.13/10.41 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.13/10.41 inference(miniscoping,[status(thm)],[f21])).
% 0.13/10.41 fof(f143,plain,(
% 0.13/10.41 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f142])).
% 0.13/10.41 fof(f152,plain,(
% 0.13/10.41 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/10.41 fof(f246,plain,(
% 0.13/10.41 member(z,restrict(xr,x,y))),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/10.41 fof(f247,plain,(
% 0.13/10.41 ~member(ordered_pair(first(z),second(z)),restrict(xr,x,y))),
% 0.13/10.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.13/10.41 fof(f355,plain,(
% 0.13/10.41 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 0.13/10.41 inference(paramodulation,[status(thm)],[f152,f143])).
% 0.13/10.41 fof(f390,plain,(
% 0.13/10.41 member(z,cross_product(x,y))),
% 0.13/10.41 inference(resolution,[status(thm)],[f355,f246])).
% 0.13/10.41 fof(f454,plain,(
% 0.13/10.41 ordered_pair(first(z),second(z))=z),
% 0.13/10.41 inference(resolution,[status(thm)],[f390,f138])).
% 0.13/10.41 fof(f458,plain,(
% 0.13/10.41 ~member(z,restrict(xr,x,y))),
% 0.13/10.41 inference(backward_demodulation,[status(thm)],[f454,f247])).
% 0.13/10.41 fof(f465,plain,(
% 0.13/10.41 $false),
% 0.13/10.41 inference(forward_subsumption_resolution,[status(thm)],[f458,f246])).
% 0.13/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.43 % Elapsed time: 0.054428 seconds
% 0.13/10.43 % CPU time: 0.181059 seconds
% 0.13/10.43 % Total memory used: 77.436 MB
% 0.13/10.43 % Net memory used: 77.316 MB
%------------------------------------------------------------------------------