%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET240-6 : 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 : n004.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 0.09s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET240-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n004.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 05:02:21 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.61 % Refutation found
% 0.09/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.61 fof(f14,axiom,(
% 0.09/0.61 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f21,axiom,(
% 0.09/0.61 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f29,axiom,(
% 0.09/0.61 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f113,negated_conjecture,(
% 0.09/0.61 member(ordered_pair(u,v),restrict(xr,x,y)) ),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f114,negated_conjecture,(
% 0.09/0.61 ~ member(u,x) ),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f132,plain,(
% 0.09/0.61 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.09/0.61 inference(miniscoping,[status(thm)],[f14])).
% 0.09/0.61 fof(f133,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f132])).
% 0.09/0.61 fof(f142,plain,(
% 0.09/0.61 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.09/0.61 inference(miniscoping,[status(thm)],[f21])).
% 0.09/0.61 fof(f143,plain,(
% 0.09/0.61 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f142])).
% 0.09/0.61 fof(f152,plain,(
% 0.09/0.61 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.61 fof(f246,plain,(
% 0.09/0.61 member(ordered_pair(u,v),restrict(xr,x,y))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/0.61 fof(f247,plain,(
% 0.09/0.61 ~member(u,x)),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f114])).
% 0.09/0.61 fof(f445,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f152,f143])).
% 0.09/0.61 fof(f476,plain,(
% 0.09/0.61 member(ordered_pair(u,v),cross_product(x,y))),
% 0.09/0.61 inference(resolution,[status(thm)],[f445,f246])).
% 0.09/0.61 fof(f512,plain,(
% 0.09/0.61 member(u,x)),
% 0.09/0.61 inference(resolution,[status(thm)],[f476,f133])).
% 0.09/0.61 fof(f515,plain,(
% 0.09/0.61 $false),
% 0.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f512,f247])).
% 0.09/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.64 % Elapsed time: 0.067029 seconds
% 0.12/0.64 % CPU time: 0.217743 seconds
% 0.12/0.64 % Total memory used: 107.298 MB
% 0.12/0.64 % Net memory used: 107.152 MB
%------------------------------------------------------------------------------