%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:03:07 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 23:07:41 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.13/5.42 % Refutation found
% 0.13/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.42 fof(f1,axiom,(
% 0.13/5.42 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f2,axiom,(
% 0.13/5.42 (![X,Y,Z]: (meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)) ))),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f3,negated_conjecture,(
% 0.13/5.42 join(a,meet(a,b)) != a ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f4,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/5.42 fof(f5,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X2,X0),meet(X1,X0)))),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/5.42 fof(f6,plain,(
% 0.13/5.42 ~join(a,meet(a,b))=a),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.42 fof(f12,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(meet(X0,X1),meet(X1,join(X2,X0)))=meet(X0,X1))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f5,f4])).
% 0.13/5.42 fof(f15,plain,(
% 0.13/5.42 ![X0,X1]: (meet(meet(X0,X1),X1)=meet(X0,X1))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f4,f12])).
% 0.13/5.42 fof(f28,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,join(meet(X1,X0),X2))=join(meet(X2,X0),meet(X1,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f15,f5])).
% 0.13/5.42 fof(f29,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,X0)))=join(meet(X2,X0),meet(X1,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f15,f5])).
% 0.13/5.42 fof(f31,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,join(meet(X1,X0),X2))=meet(X0,join(X1,X2)))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f5,f28])).
% 0.13/5.42 fof(f33,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,X0)))=meet(X0,join(X1,X2)))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f5,f29])).
% 0.13/5.42 fof(f34,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,meet(X0,join(X1,X2)))=meet(X0,join(X2,meet(X1,X0))))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f5,f31])).
% 0.13/5.42 fof(f44,plain,(
% 0.13/5.42 ![X0,X1,X2]: (meet(X0,meet(X0,join(X1,X2)))=meet(X0,join(X2,X1)))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f33,f34])).
% 0.13/5.42 fof(f98,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,X0)=meet(X0,join(X1,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f4,f44])).
% 0.13/5.42 fof(f113,plain,(
% 0.13/5.42 ![X0]: (meet(X0,X0)=X0)),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f4,f98])).
% 0.13/5.42 fof(f115,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,X0)=meet(X0,join(X1,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f98,f31])).
% 0.13/5.42 fof(f129,plain,(
% 0.13/5.42 ![X0,X1]: (X0=meet(X0,join(X1,X0)))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f113,f115])).
% 0.13/5.42 fof(f146,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,join(X0,X1))=join(meet(X1,X0),X0))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f113,f5])).
% 0.13/5.42 fof(f147,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,join(X1,X0))=join(X0,meet(X1,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f113,f5])).
% 0.13/5.42 fof(f152,plain,(
% 0.13/5.42 ![X0,X1]: (X0=join(meet(X1,X0),X0))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f4,f146])).
% 0.13/5.42 fof(f153,plain,(
% 0.13/5.42 ![X0,X1]: (X0=join(X0,meet(X1,X0)))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f129,f147])).
% 0.13/5.42 fof(f178,plain,(
% 0.13/5.42 ![X0]: (X0=join(X0,X0))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f113,f152])).
% 0.13/5.42 fof(f234,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,X1)=meet(X1,join(X0,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f5,f178])).
% 0.13/5.42 fof(f245,plain,(
% 0.13/5.42 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f178,f234])).
% 0.13/5.42 fof(f331,plain,(
% 0.13/5.42 ![X0,X1]: (X0=join(X0,meet(X0,X1)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f245,f153])).
% 0.13/5.42 fof(f352,plain,(
% 0.13/5.42 ~a=a),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f331,f6])).
% 0.13/5.42 fof(f368,plain,(
% 0.13/5.42 $false),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f352])).
% 0.13/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.45 % Elapsed time: 0.058774 seconds
% 0.13/5.45 % CPU time: 0.304772 seconds
% 0.13/5.45 % Total memory used: 17.663 MB
% 0.13/5.45 % Net memory used: 17.566 MB
%------------------------------------------------------------------------------