%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 01:03:08 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.36 % Computer : n020.cluster.edu
% 0.08/10.36 % Model : x86_64 x86_64
% 0.08/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.36 % Memory : 8046.5625MB
% 0.08/10.36 % OS : Linux 6.8.0-71-generic
% 0.08/10.36 % CPULimit : 300
% 0.08/10.36 % WCLimit : 300
% 0.08/10.36 % DateTime : Sun Sep 20 23:07:28 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.37 % Drodi V4.1.1
% 0.14/10.49 % Refutation found
% 0.14/10.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.49 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.49 fof(f1,axiom,(
% 0.14/10.49 (![X]: (meet(X,X) = X ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f2,axiom,(
% 0.14/10.49 (![X]: (join(X,X) = X ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f3,axiom,(
% 0.14/10.49 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f5,axiom,(
% 0.14/10.49 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f6,axiom,(
% 0.14/10.49 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f8,axiom,(
% 0.14/10.49 (![X,Y,Z]: (meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)) ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f9,hypothesis,(
% 0.14/10.49 (![X,Y,Z]: (meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)) ))),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f10,negated_conjecture,(
% 0.14/10.49 join(a,meet(b,c)) != meet(join(a,b),join(a,c)) ),
% 0.14/10.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.49 fof(f11,plain,(
% 0.14/10.49 ![X0]: (meet(X0,X0)=X0)),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/10.49 fof(f12,plain,(
% 0.14/10.49 ![X0]: (join(X0,X0)=X0)),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/10.49 fof(f13,plain,(
% 0.14/10.49 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/10.49 fof(f15,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/10.49 fof(f16,plain,(
% 0.14/10.49 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/10.49 fof(f18,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(join(X0,meet(X1,X2)),join(X0,X1))=join(X0,meet(X1,X2)))),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/10.49 fof(f19,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X0,X1),meet(X0,X2)))),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/10.49 fof(f20,plain,(
% 0.14/10.49 ~join(a,meet(b,c))=meet(join(a,b),join(a,c))),
% 0.14/10.49 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/10.49 fof(f43,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f13,f15])).
% 0.14/10.49 fof(f49,plain,(
% 0.14/10.49 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.14/10.49 fof(f106,plain,(
% 0.14/10.49 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f12,f16])).
% 0.14/10.49 fof(f112,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(join(X0,X1),join(X0,meet(X1,X2)))=join(X0,meet(X1,X2)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f13,f18])).
% 0.14/10.49 fof(f122,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(join(X0,meet(X1,X2)),join(X0,X2))=join(X0,meet(X2,X1)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f13,f18])).
% 0.14/10.49 fof(f159,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(X0,join(X1,meet(X0,X2)))=join(meet(X0,X1),meet(X0,X2)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f49,f19])).
% 0.14/10.49 fof(f181,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(X0,join(X1,meet(X0,X2)))=meet(X0,join(X1,X2)))),
% 0.14/10.49 inference(forward_demodulation,[status(thm)],[f19,f159])).
% 0.14/10.49 fof(f320,plain,(
% 0.14/10.49 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f11,f43])).
% 0.14/10.49 fof(f423,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(join(X0,meet(X1,X2)),join(X0,X2))=join(X0,meet(X2,meet(X2,X1))))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f320,f18])).
% 0.14/10.49 fof(f450,plain,(
% 0.14/10.49 ![X0,X1,X2]: (join(X0,meet(X1,X2))=join(X0,meet(X1,meet(X1,X2))))),
% 0.14/10.49 inference(forward_demodulation,[status(thm)],[f122,f423])).
% 0.14/10.49 fof(f451,plain,(
% 0.14/10.49 ![X0,X1,X2]: (join(X0,meet(X1,X2))=join(X0,meet(X2,X1)))),
% 0.14/10.49 inference(forward_demodulation,[status(thm)],[f320,f450])).
% 0.14/10.49 fof(f805,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(join(X0,X1),join(X0,meet(join(X0,X1),X2)))=join(X0,meet(join(X0,X1),X2)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f106,f112])).
% 0.14/10.49 fof(f850,plain,(
% 0.14/10.49 ~join(a,meet(b,c))=join(a,meet(join(a,b),c))),
% 0.14/10.49 inference(backward_demodulation,[status(thm)],[f864,f20])).
% 0.14/10.49 fof(f851,plain,(
% 0.14/10.49 ![X0,X1,X2]: (join(X0,meet(join(X0,meet(X1,X2)),X1))=join(X0,meet(X1,X2)))),
% 0.14/10.49 inference(backward_demodulation,[status(thm)],[f864,f18])).
% 0.14/10.49 fof(f864,plain,(
% 0.14/10.49 ![X0,X1,X2]: (meet(join(X0,X1),join(X0,X2))=join(X0,meet(join(X0,X1),X2)))),
% 0.14/10.49 inference(forward_demodulation,[status(thm)],[f181,f805])).
% 0.14/10.49 fof(f903,plain,(
% 0.14/10.49 ~join(a,meet(b,c))=join(a,meet(c,join(a,b)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f13,f850])).
% 0.14/10.49 fof(f1050,plain,(
% 0.14/10.49 ![X0,X1,X2]: (join(X0,meet(X1,join(X0,meet(X1,X2))))=join(X0,meet(X1,X2)))),
% 0.14/10.49 inference(paramodulation,[status(thm)],[f13,f851])).
% 0.14/10.49 fof(f1089,plain,(
% 0.14/10.49 ~join(a,meet(b,c))=join(a,meet(c,b))),
% 0.14/10.49 inference(backward_demodulation,[status(thm)],[f1090,f903])).
% 0.14/10.49 fof(f1090,plain,(
% 0.14/10.49 ![X0,X1,X2]: (join(X0,meet(X1,join(X0,X2)))=join(X0,meet(X1,X2)))),
% 0.14/10.49 inference(forward_demodulation,[status(thm)],[f181,f1050])).
% 0.14/10.49 fof(f1135,plain,(
% 0.14/10.49 $false),
% 0.14/10.49 inference(forward_subsumption_resolution,[status(thm)],[f1089,f451])).
% 0.14/10.49 % SZS output end CNFRefutation for theBenchmark.p
% 10.04/11.71 % Elapsed time: 1.121410 seconds
% 10.04/11.71 % CPU time: 0.512056 seconds
% 10.04/11.71 % Total memory used: 8.754 MB
% 10.04/11.71 % Net memory used: 8.507 MB
%------------------------------------------------------------------------------