%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT031-1 : 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 : n007.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 0.09s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT031-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 23:05:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.50 % Refutation found
% 0.09/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.50 fof(f1,axiom,(
% 0.09/0.50 (![X]: (meet(X,X) = X ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f3,axiom,(
% 0.09/0.50 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f4,axiom,(
% 0.09/0.50 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f5,axiom,(
% 0.09/0.50 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f6,axiom,(
% 0.09/0.50 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f7,axiom,(
% 0.09/0.50 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f8,axiom,(
% 0.09/0.50 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f9,hypothesis,(
% 0.09/0.50 (![X,Y,Z]: (meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f10,negated_conjecture,(
% 0.09/0.50 join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)) ),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f11,plain,(
% 0.09/0.50 ![X0]: (meet(X0,X0)=X0)),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.50 fof(f13,plain,(
% 0.09/0.50 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.50 fof(f14,plain,(
% 0.09/0.50 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.50 fof(f15,plain,(
% 0.09/0.50 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.50 fof(f16,plain,(
% 0.09/0.50 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.50 fof(f17,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.50 fof(f18,plain,(
% 0.09/0.50 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.50 fof(f19,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X0,X1),meet(X0,X2)))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.50 fof(f20,plain,(
% 0.09/0.50 ~join(xx,meet(yy,zz))=meet(join(xx,yy),join(xx,zz))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.50 fof(f43,plain,(
% 0.09/0.50 ~join(xx,meet(yy,zz))=meet(join(xx,yy),join(zz,xx))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f16,f20])).
% 0.09/0.50 fof(f45,plain,(
% 0.09/0.50 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f16,f13])).
% 0.09/0.50 fof(f71,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.09/0.50 fof(f77,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X1,meet(X0,X2)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.09/0.50 fof(f79,plain,(
% 0.09/0.50 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f11,f17])).
% 0.09/0.50 fof(f94,plain,(
% 0.09/0.50 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f16,f18])).
% 0.09/0.50 fof(f99,plain,(
% 0.09/0.50 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(meet(X0,X2),X1)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f14,f18])).
% 0.09/0.50 fof(f121,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X1,X0),meet(X0,X2)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f15,f19])).
% 0.09/0.50 fof(f159,plain,(
% 0.09/0.50 ~join(xx,meet(yy,zz))=meet(join(yy,xx),join(zz,xx))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f16,f43])).
% 0.09/0.50 fof(f333,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(X0,join(meet(X0,X1),X2))=join(meet(X0,X1),meet(X0,X2)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f79,f19])).
% 0.09/0.50 fof(f356,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(X0,join(meet(X0,X1),X2))=meet(X0,join(X1,X2)))),
% 0.09/0.50 inference(forward_demodulation,[status(thm)],[f19,f333])).
% 0.09/0.50 fof(f377,plain,(
% 0.09/0.50 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f11,f71])).
% 0.09/0.50 fof(f1152,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (join(meet(X0,X1),X2)=join(meet(X0,X1),join(meet(X1,meet(X0,X3)),X2)))),
% 0.09/0.50 inference(paramodulation,[status(thm)],[f77,f99])).
% 0.09/0.50 fof(f1181,plain,(
% 0.09/0.50 ![X0,X1,X2]: (meet(join(meet(X0,X1),X2),join(X0,X2))=join(meet(X0,X1),X2))),
% 0.81/0.51 inference(paramodulation,[status(thm)],[f99,f45])).
% 0.81/0.51 fof(f1586,plain,(
% 0.81/0.51 ![X0,X1]: (meet(join(X0,X1),X1)=meet(X1,X1))),
% 0.81/0.51 inference(paramodulation,[status(thm)],[f45,f377])).
% 0.81/0.51 fof(f1639,plain,(
% 0.81/0.51 ![X0,X1]: (meet(join(X0,X1),X1)=X1)),
% 0.81/0.51 inference(forward_demodulation,[status(thm)],[f11,f1586])).
% 0.81/0.51 fof(f1864,plain,(
% 0.81/0.51 ![X0,X1,X2,X3]: (join(X0,meet(X1,join(X2,X3)))=join(meet(X2,X1),join(meet(X1,X3),X0)))),
% 0.81/0.51 inference(paramodulation,[status(thm)],[f121,f94])).
% 0.81/0.51 fof(f1971,plain,(
% 0.81/0.51 ![X0,X1,X2,X3]: (join(meet(X0,X1),X2)=join(X2,meet(X1,join(X0,meet(X0,X3)))))),
% 0.81/0.51 inference(backward_demodulation,[status(thm)],[f1864,f1152])).
% 0.81/0.51 fof(f2006,plain,(
% 0.81/0.51 ![X0,X1,X2]: (join(meet(X0,X1),X2)=join(X2,meet(X1,X0)))),
% 0.81/0.51 inference(forward_demodulation,[status(thm)],[f14,f1971])).
% 0.81/0.51 fof(f2038,plain,(
% 0.81/0.51 ![X0,X1,X2]: (meet(join(X0,X1),join(X2,X1))=join(meet(X2,join(X0,X1)),X1))),
% 0.81/0.51 inference(paramodulation,[status(thm)],[f1639,f121])).
% 0.81/0.51 fof(f2074,plain,(
% 0.81/0.51 ~join(xx,meet(yy,zz))=join(meet(zz,join(yy,xx)),xx)),
% 0.81/0.51 inference(backward_demodulation,[status(thm)],[f2038,f159])).
% 0.81/0.51 fof(f2075,plain,(
% 0.81/0.51 ![X0,X1,X2]: (join(meet(X0,join(meet(X0,X1),X2)),X2)=join(meet(X0,X1),X2))),
% 0.81/0.51 inference(backward_demodulation,[status(thm)],[f2038,f1181])).
% 0.81/0.51 fof(f2088,plain,(
% 0.81/0.51 ~join(xx,meet(yy,zz))=join(meet(zz,yy),xx)),
% 0.81/0.51 inference(backward_demodulation,[status(thm)],[f2090,f2074])).
% 0.81/0.51 fof(f2090,plain,(
% 0.81/0.51 ![X0,X1,X2]: (join(meet(X0,join(X1,X2)),X2)=join(meet(X0,X1),X2))),
% 0.81/0.51 inference(forward_demodulation,[status(thm)],[f356,f2075])).
% 0.81/0.51 fof(f2109,plain,(
% 0.81/0.51 $false),
% 0.81/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2088,f2006])).
% 0.81/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 9.84/1.73 % Elapsed time: 1.144827 seconds
% 9.84/1.73 % CPU time: 0.537363 seconds
% 9.84/1.73 % Total memory used: 10.649 MB
% 9.84/1.73 % Net memory used: 10.308 MB
%------------------------------------------------------------------------------