%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT032-1 : 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 : 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 01:03:09 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 23:02:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.50 % Refutation found
% 0.11/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.50 fof(f3,axiom,(
% 0.11/0.50 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f4,axiom,(
% 0.11/0.50 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f6,axiom,(
% 0.11/0.50 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f7,axiom,(
% 0.11/0.50 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f9,hypothesis,(
% 0.11/0.50 (![X,Y,Z]: (join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)) ))),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f10,negated_conjecture,(
% 0.11/0.50 meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)) ),
% 0.11/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.50 fof(f13,plain,(
% 0.11/0.50 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.50 fof(f14,plain,(
% 0.11/0.50 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.50 fof(f16,plain,(
% 0.11/0.50 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.50 fof(f17,plain,(
% 0.11/0.50 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.50 fof(f19,plain,(
% 0.11/0.50 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X0,X1),join(X0,X2)))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.50 fof(f20,plain,(
% 0.11/0.50 ~meet(xx,join(yy,zz))=join(meet(xx,yy),meet(xx,zz))),
% 0.11/0.50 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.50 fof(f52,plain,(
% 0.11/0.50 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(join(X0,X2),X1)))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f13,f17])).
% 0.11/0.50 fof(f139,plain,(
% 0.11/0.50 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X1,X0),join(X0,X2)))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.11/0.50 fof(f1278,plain,(
% 0.11/0.50 ![X0,X1,X2]: (join(meet(X0,X1),meet(X0,X2))=meet(X0,join(meet(X0,X1),X2)))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f14,f139])).
% 0.11/0.50 fof(f1298,plain,(
% 0.11/0.50 ![X0,X1,X2]: (meet(X0,join(X1,X2))=meet(X0,join(X1,meet(X0,X2))))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f139,f52])).
% 0.11/0.50 fof(f1350,plain,(
% 0.11/0.50 ~meet(xx,join(yy,zz))=meet(xx,join(meet(xx,yy),zz))),
% 0.11/0.50 inference(backward_demodulation,[status(thm)],[f1278,f20])).
% 0.11/0.50 fof(f1416,plain,(
% 0.11/0.50 ~meet(xx,join(yy,zz))=meet(xx,join(zz,meet(xx,yy)))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f16,f1350])).
% 0.11/0.50 fof(f1420,plain,(
% 0.11/0.50 ~meet(xx,join(yy,zz))=meet(xx,join(zz,yy))),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f1298,f1416])).
% 0.11/0.50 fof(f1548,plain,(
% 0.11/0.50 ~meet(xx,join(yy,zz))=meet(xx,join(yy,zz))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f16,f1420])).
% 0.11/0.50 fof(f1550,plain,(
% 0.11/0.50 $false),
% 0.11/0.50 inference(trivial_equality_resolution,[status(thm)],[f1548])).
% 0.11/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 79.27/11.11 % Elapsed time: 10.674563 seconds
% 79.27/11.11 % CPU time: 74.322829 seconds
% 79.27/11.11 % Total memory used: 46.772 GB
% 79.27/11.11 % Net memory used: 46.771 GB
%------------------------------------------------------------------------------