%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:03:19 PM UTC 2026
% Result : Unsatisfiable 22.16s 3.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 20 23:18:23 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 22.16/3.31 % Refutation found
% 22.16/3.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.16/3.31 % SZS output start CNFRefutation for theBenchmark
% 22.16/3.31 fof(f3,axiom,(
% 22.16/3.31 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f4,axiom,(
% 22.16/3.31 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f5,axiom,(
% 22.16/3.31 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f6,axiom,(
% 22.16/3.31 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f7,axiom,(
% 22.16/3.31 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f8,axiom,(
% 22.16/3.31 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f9,axiom,(
% 22.16/3.31 (![X,Y,Z]: (join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ))),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f10,negated_conjecture,(
% 22.16/3.31 meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ),
% 22.16/3.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.16/3.31 fof(f13,plain,(
% 22.16/3.31 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f3])).
% 22.16/3.31 fof(f14,plain,(
% 22.16/3.31 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f4])).
% 22.16/3.31 fof(f15,plain,(
% 22.16/3.31 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f5])).
% 22.16/3.31 fof(f16,plain,(
% 22.16/3.31 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f6])).
% 22.16/3.31 fof(f17,plain,(
% 22.16/3.31 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f7])).
% 22.16/3.31 fof(f18,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f8])).
% 22.16/3.31 fof(f19,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(meet(X0,X1),meet(X0,X2))=meet(X0,join(meet(X0,X1),meet(join(X0,X1),X2))))),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f9])).
% 22.16/3.31 fof(f20,plain,(
% 22.16/3.31 ~meet(a,join(b,meet(a,c)))=meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))),
% 22.16/3.31 inference(cnf_transformation,[status(thm)],[f10])).
% 22.16/3.31 fof(f41,plain,(
% 22.16/3.31 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f16,f13])).
% 22.16/3.31 fof(f57,plain,(
% 22.16/3.31 ~meet(a,join(b,meet(a,c)))=meet(a,join(meet(a,join(b,meet(c,a))),meet(c,join(a,b))))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f15,f20])).
% 22.16/3.31 fof(f58,plain,(
% 22.16/3.31 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f15,f14])).
% 22.16/3.31 fof(f86,plain,(
% 22.16/3.31 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(X2,meet(X0,X1)))))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f41,f17])).
% 22.16/3.31 fof(f102,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(X0,meet(X1,meet(X2,X0)))=X0)),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f17,f58])).
% 22.16/3.31 fof(f240,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(join(X0,X1),meet(X2,X0))=join(X0,X1))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f13,f102])).
% 22.16/3.31 fof(f254,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(X0,join(X1,meet(X2,X0)))=join(X0,X1))),
% 22.16/3.31 inference(forward_demodulation,[status(thm)],[f18,f240])).
% 22.16/3.31 fof(f524,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(meet(X0,X1),meet(X0,X2))=meet(X0,join(meet(X0,X1),meet(X2,join(X0,X1)))))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f15,f19])).
% 22.16/3.31 fof(f10671,plain,(
% 22.16/3.31 ![X0,X1,X2,X3]: (join(meet(X0,join(X1,meet(X2,X0))),meet(X0,X3))=meet(X0,join(meet(X0,join(X1,meet(X2,X0))),meet(X3,join(X0,X1)))))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f254,f524])).
% 22.16/3.31 fof(f11009,plain,(
% 22.16/3.31 ~meet(a,join(b,meet(a,c)))=join(meet(a,join(b,meet(c,a))),meet(a,c))),
% 22.16/3.31 inference(backward_demodulation,[status(thm)],[f10671,f57])).
% 22.16/3.31 fof(f19405,plain,(
% 22.16/3.31 ~meet(a,join(b,meet(a,c)))=join(meet(a,join(b,meet(c,a))),meet(c,a))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f15,f11009])).
% 22.16/3.31 fof(f19604,plain,(
% 22.16/3.31 ![X0,X1,X2]: (join(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0))=meet(X0,join(X1,meet(X2,X0))))),
% 22.16/3.31 inference(paramodulation,[status(thm)],[f86,f58])).
% 22.16/3.31 fof(f19938,plain,(
% 22.16/3.31 ~meet(a,join(b,meet(a,c)))=meet(a,join(b,meet(c,a)))),
% 22.16/3.31 inference(backward_demodulation,[status(thm)],[f19604,f19405])).
% 22.23/3.36 fof(f19940,plain,(
% 22.23/3.36 ~meet(a,join(b,meet(c,a)))=meet(a,join(b,meet(c,a)))),
% 22.23/3.36 inference(paramodulation,[status(thm)],[f15,f19938])).
% 22.23/3.36 fof(f19942,plain,(
% 22.23/3.36 $false),
% 22.23/3.36 inference(trivial_equality_resolution,[status(thm)],[f19940])).
% 22.23/3.36 % SZS output end CNFRefutation for theBenchmark.p
% 35.01/11.12 % Elapsed time: 10.726480 seconds
% 35.01/11.12 % CPU time: 84.567039 seconds
% 35.01/11.12 % Total memory used: 47.315 GB
% 35.01/11.12 % Net memory used: 47.313 GB
%------------------------------------------------------------------------------