%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.12s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:08:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.46 % Refutation found
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.46 fof(f4,axiom,(
% 0.12/0.46 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f5,axiom,(
% 0.12/0.46 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f6,axiom,(
% 0.12/0.46 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f9,hypothesis,(
% 0.12/0.46 (![X,Y,Z]: (join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)) ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f11,hypothesis,(
% 0.12/0.46 join(xx,yy) = join(xx,zz) ),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f12,hypothesis,(
% 0.12/0.46 meet(xx,yy) = meet(xx,zz) ),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f13,negated_conjecture,(
% 0.12/0.46 yy != zz ),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f17,plain,(
% 0.12/0.46 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.46 fof(f18,plain,(
% 0.12/0.46 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.46 fof(f19,plain,(
% 0.12/0.46 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.46 fof(f22,plain,(
% 0.12/0.46 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X0,X1),join(X0,X2)))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.46 fof(f24,plain,(
% 0.12/0.46 join(xx,yy)=join(xx,zz)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.46 fof(f25,plain,(
% 0.12/0.46 meet(xx,yy)=meet(xx,zz)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.46 fof(f26,plain,(
% 0.12/0.46 ~yy=zz),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.46 fof(f33,plain,(
% 0.12/0.46 meet(xx,yy)=meet(zz,xx)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f25,f18])).
% 0.12/0.46 fof(f44,plain,(
% 0.12/0.46 meet(yy,xx)=meet(zz,xx)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f18,f33])).
% 0.12/0.46 fof(f58,plain,(
% 0.12/0.46 join(xx,yy)=join(zz,xx)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f24,f19])).
% 0.12/0.46 fof(f134,plain,(
% 0.12/0.46 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X1,X0),join(X0,X2)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f19,f22])).
% 0.12/0.46 fof(f215,plain,(
% 0.12/0.46 join(yy,xx)=join(zz,xx)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f19,f58])).
% 0.12/0.46 fof(f278,plain,(
% 0.12/0.46 ![X0]: (join(zz,meet(X0,xx))=meet(join(zz,X0),join(yy,xx)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f215,f22])).
% 0.12/0.46 fof(f290,plain,(
% 0.12/0.46 join(zz,meet(yy,xx))=zz),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f44,f17])).
% 0.12/0.46 fof(f2255,plain,(
% 0.12/0.46 join(zz,meet(yy,xx))=join(yy,meet(zz,xx))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f134,f278])).
% 0.12/0.46 fof(f2358,plain,(
% 0.12/0.46 zz=join(yy,meet(zz,xx))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f290,f2255])).
% 0.12/0.46 fof(f2359,plain,(
% 0.12/0.46 zz=join(yy,meet(yy,xx))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f44,f2358])).
% 0.12/0.46 fof(f2360,plain,(
% 0.12/0.46 zz=yy),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f17,f2359])).
% 0.12/0.46 fof(f2361,plain,(
% 0.12/0.46 $false),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2360,f26])).
% 0.12/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.47 % Elapsed time: 0.118330 seconds
% 0.12/0.47 % CPU time: 0.791697 seconds
% 0.12/0.47 % Total memory used: 20.845 MB
% 0.12/0.47 % Net memory used: 20.433 MB
%------------------------------------------------------------------------------