%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET242-6 : 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 02:11:49 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET242-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:03:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f23,axiom,(
% 0.14/0.40 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,axiom,(
% 0.14/0.40 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f113,negated_conjecture,(
% 0.14/0.40 member(z,xr) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f114,negated_conjecture,(
% 0.14/0.40 member(z,cross_product(x,y)) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f115,negated_conjecture,(
% 0.14/0.40 ~ member(z,restrict(xr,x,y)) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f147,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f247,plain,(
% 0.14/0.40 member(z,xr)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 member(z,cross_product(x,y))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f114])).
% 0.14/0.40 fof(f249,plain,(
% 0.14/0.40 ~member(z,restrict(xr,x,y))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.14/0.40 fof(f358,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~member(X0,cross_product(X1,X2))|~member(X0,X3)|member(X0,restrict(X3,X1,X2)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f153,f147])).
% 0.14/0.40 fof(f390,plain,(
% 0.14/0.40 ![X0]: (~member(z,X0)|member(z,restrict(X0,x,y)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f358,f248])).
% 0.14/0.40 fof(f417,plain,(
% 0.14/0.40 member(z,restrict(xr,x,y))),
% 0.14/0.40 inference(resolution,[status(thm)],[f390,f247])).
% 0.14/0.40 fof(f421,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f417,f249])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.065463 seconds
% 0.14/0.43 % CPU time: 0.203413 seconds
% 0.14/0.43 % Total memory used: 106.788 MB
% 0.14/0.43 % Net memory used: 106.581 MB
%------------------------------------------------------------------------------