%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 01:03:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:11:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f1,axiom,(
% 0.14/0.42 (![A,B]: (join(meet(A,B),meet(A,join(A,B))) = A ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f3,axiom,(
% 0.14/0.42 (![A,B]: (join(meet(A,B),meet(B,join(A,B))) = B ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f4,axiom,(
% 0.14/0.42 (![A,B,C]: (meet(meet(join(A,B),join(C,A)),A) = A ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f5,axiom,(
% 0.14/0.42 (![A,B,C]: (join(join(meet(A,B),meet(C,A)),A) = A ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f6,negated_conjecture,(
% 0.14/0.42 join(a,a) != a ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f7,plain,(
% 0.14/0.42 ![X0,X1]: (join(meet(X0,X1),meet(X0,join(X0,X1)))=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.42 fof(f9,plain,(
% 0.14/0.42 ![X0,X1]: (join(meet(X0,X1),meet(X1,join(X0,X1)))=X1)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.42 fof(f10,plain,(
% 0.14/0.42 ![X0,X1,X2]: (meet(meet(join(X0,X1),join(X2,X0)),X0)=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.42 fof(f11,plain,(
% 0.14/0.42 ![X0,X1,X2]: (join(join(meet(X0,X1),meet(X2,X0)),X0)=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.42 fof(f12,plain,(
% 0.14/0.42 ~join(a,a)=a),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.42 fof(f13,definition,(
% 0.14/0.42 sF0_fnc=join(a,a)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.42 fof(f14,plain,(
% 0.14/0.42 ~sF0_fnc=a),
% 0.14/0.42 inference(definition_folding,[],[f12,f13])).
% 0.14/0.42 fof(f17,plain,(
% 0.14/0.42 ![X0,X1]: (join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0))=meet(X0,X1))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.14/0.42 fof(f24,plain,(
% 0.14/0.42 ![X0,X1]: (join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X1,join(X0,X1)),X1))=meet(X1,join(X0,X1)))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f9,f9])).
% 0.14/0.42 fof(f40,plain,(
% 0.14/0.42 ![X0,X1]: (meet(meet(join(X0,X1),X0),X0)=X0)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f11,f10])).
% 0.14/0.42 fof(f66,plain,(
% 0.14/0.42 ![X0,X1]: (join(X0,meet(X0,join(meet(join(X0,X1),X0),X0)))=X0)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f40,f9])).
% 0.14/0.42 fof(f138,plain,(
% 0.14/0.42 ![X0]: (meet(meet(X0,X0),X0)=X0)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f66,f40])).
% 0.14/0.42 fof(f140,plain,(
% 0.14/0.42 ![X0,X1]: (meet(meet(X0,join(X1,X0)),X0)=X0)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f66,f10])).
% 0.14/0.42 fof(f151,plain,(
% 0.14/0.42 ![X0,X1]: (join(meet(meet(X0,X1),meet(X1,join(X0,X1))),X1)=meet(X1,join(X0,X1)))),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f140,f24])).
% 0.14/0.42 fof(f181,plain,(
% 0.14/0.42 ![X0]: (join(meet(meet(X0,X0),meet(X0,join(X0,X0))),X0)=meet(X0,X0))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f138,f17])).
% 0.14/0.42 fof(f217,plain,(
% 0.14/0.42 ![X0]: (meet(X0,join(X0,X0))=meet(X0,X0))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f151,f181])).
% 0.14/0.42 fof(f236,plain,(
% 0.14/0.42 ![X0]: (join(meet(X0,X0),meet(X0,X0))=X0)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f217,f9])).
% 0.14/0.42 fof(f254,plain,(
% 0.14/0.42 ![X0]: (join(X0,X0)=X0)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f236,f11])).
% 0.14/0.42 fof(f266,plain,(
% 0.14/0.42 sF0_fnc=a),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f254,f13])).
% 0.14/0.42 fof(f345,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f266,f14])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.047298 seconds
% 0.14/0.42 % CPU time: 0.255936 seconds
% 0.14/0.42 % Total memory used: 17.867 MB
% 0.14/0.42 % Net memory used: 17.563 MB
%------------------------------------------------------------------------------