%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:03:10 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n011.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 23:07:55 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.37 % Refutation found
% 0.07/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.37 fof(f5,axiom,(
% 0.07/0.37 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f6,axiom,(
% 0.07/0.37 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f9,hypothesis,(
% 0.07/0.37 (![X,Y,Z]: (join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)) ))),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f12,axiom,(
% 0.07/0.37 (![X]: (join(X,n0) = X ))),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f13,axiom,(
% 0.07/0.37 (![X]: (meet(X,n1) = X ))),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f16,axiom,(
% 0.07/0.37 join(xx,yy) = n1 ),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f17,axiom,(
% 0.07/0.37 join(xx,zz) = n1 ),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f18,axiom,(
% 0.07/0.37 meet(xx,yy) = n0 ),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f19,axiom,(
% 0.07/0.37 meet(xx,zz) = n0 ),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f20,negated_conjecture,(
% 0.07/0.37 yy != zz ),
% 0.07/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f25,plain,(
% 0.07/0.37 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.37 fof(f26,plain,(
% 0.07/0.37 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.37 fof(f29,plain,(
% 0.07/0.37 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X0,X1),join(X0,X2)))),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.07/0.37 fof(f32,plain,(
% 0.07/0.37 ![X0]: (join(X0,n0)=X0)),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.37 fof(f33,plain,(
% 0.07/0.37 ![X0]: (meet(X0,n1)=X0)),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.07/0.37 fof(f37,plain,(
% 0.07/0.37 join(xx,yy)=n1),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/0.37 fof(f38,plain,(
% 0.07/0.37 join(xx,zz)=n1),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/0.37 fof(f39,plain,(
% 0.07/0.37 meet(xx,yy)=n0),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f18])).
% 0.07/0.37 fof(f40,plain,(
% 0.07/0.37 meet(xx,zz)=n0),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.37 fof(f41,plain,(
% 0.07/0.37 ~yy=zz),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f20])).
% 0.07/0.37 fof(f56,plain,(
% 0.07/0.37 meet(zz,xx)=n0),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f25,f40])).
% 0.07/0.37 fof(f57,plain,(
% 0.07/0.37 meet(yy,xx)=n0),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f25,f39])).
% 0.07/0.37 fof(f81,plain,(
% 0.07/0.37 join(zz,xx)=n1),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f26,f38])).
% 0.07/0.37 fof(f82,plain,(
% 0.07/0.37 join(yy,xx)=n1),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f26,f37])).
% 0.07/0.37 fof(f161,plain,(
% 0.07/0.37 ![X0]: (join(zz,meet(X0,xx))=meet(join(zz,X0),n1))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f81,f29])).
% 0.07/0.37 fof(f185,plain,(
% 0.07/0.37 ![X0]: (join(zz,meet(X0,xx))=join(zz,X0))),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f33,f161])).
% 0.07/0.37 fof(f193,plain,(
% 0.07/0.37 ![X0]: (join(yy,meet(X0,xx))=meet(join(yy,X0),n1))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f82,f29])).
% 0.07/0.37 fof(f197,plain,(
% 0.07/0.37 ![X0]: (join(yy,meet(X0,xx))=join(yy,X0))),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f33,f193])).
% 0.07/0.37 fof(f400,plain,(
% 0.07/0.37 join(zz,n0)=join(zz,yy)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f57,f185])).
% 0.07/0.37 fof(f412,plain,(
% 0.07/0.37 zz=join(zz,yy)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f32,f400])).
% 0.07/0.37 fof(f422,plain,(
% 0.07/0.37 join(yy,n0)=join(yy,zz)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f56,f197])).
% 0.07/0.37 fof(f433,plain,(
% 0.07/0.37 yy=join(yy,zz)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f32,f422])).
% 0.07/0.37 fof(f434,plain,(
% 0.07/0.37 yy=join(zz,yy)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f26,f433])).
% 0.07/0.37 fof(f609,plain,(
% 0.07/0.37 yy=zz),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f412,f434])).
% 0.07/0.37 fof(f610,plain,(
% 0.07/0.37 $false),
% 0.07/0.37 inference(forward_subsumption_resolution,[status(thm)],[f609,f41])).
% 0.07/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.040075 seconds
% 0.12/0.39 % CPU time: 0.120298 seconds
% 0.12/0.39 % Total memory used: 15.585 MB
% 0.12/0.39 % Net memory used: 15.539 MB
%------------------------------------------------------------------------------