%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT012-1 : 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 : n014.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 5.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n014.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Sun Sep 20 23:05:40 UTC 2026
% 0.10/5.58 % CPUTime :
% 0.10/5.59 % Drodi V4.1.1
% 0.14/5.80 % Refutation found
% 0.14/5.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.80 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.80 fof(f1,axiom,(
% 0.14/5.80 (![X,Y,Z]: (join(X,meet(Y,meet(X,Z))) = X ))),
% 0.14/5.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.80 fof(f2,axiom,(
% 0.14/5.80 (![X,Y,Z]: (meet(X,join(Y,join(X,Z))) = X ))),
% 0.14/5.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.80 fof(f3,axiom,(
% 0.14/5.80 (![X,Y,Z]: (join(join(meet(X,Y),meet(Y,Z)),Y) = Y ))),
% 0.14/5.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.80 fof(f4,axiom,(
% 0.14/5.80 (![X,Y,Z]: (meet(meet(join(X,Y),join(Y,Z)),Y) = Y ))),
% 0.14/5.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.80 fof(f5,negated_conjecture,(
% 0.14/5.80 meet(b,a) != meet(a,b) ),
% 0.14/5.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.80 fof(f6,plain,(
% 0.14/5.80 ![X0,X1,X2]: (join(X0,meet(X1,meet(X0,X2)))=X0)),
% 0.14/5.80 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.80 fof(f7,plain,(
% 0.14/5.80 ![X0,X1,X2]: (meet(X0,join(X1,join(X0,X2)))=X0)),
% 0.14/5.80 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.80 fof(f8,plain,(
% 0.14/5.80 ![X0,X1,X2]: (join(join(meet(X0,X1),meet(X1,X2)),X1)=X1)),
% 0.14/5.80 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.80 fof(f9,plain,(
% 0.14/5.80 ![X0,X1,X2]: (meet(meet(join(X0,X1),join(X1,X2)),X1)=X1)),
% 0.14/5.80 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.80 fof(f10,plain,(
% 0.14/5.80 ~meet(b,a)=meet(a,b)),
% 0.14/5.80 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.80 fof(f14,plain,(
% 0.14/5.80 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.14/5.80 fof(f49,plain,(
% 0.14/5.80 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.14/5.80 fof(f55,plain,(
% 0.14/5.80 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f7,f6])).
% 0.14/5.80 fof(f81,plain,(
% 0.14/5.80 ![X0,X1]: (meet(meet(X0,X1),X0)=meet(X0,X1))),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f14,f49])).
% 0.14/5.80 fof(f122,plain,(
% 0.14/5.80 ![X0,X1,X2]: (meet(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0))=meet(X1,X0))),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f55,f9])).
% 0.14/5.80 fof(f254,plain,(
% 0.14/5.80 ![X0,X1]: (join(meet(X0,X1),X1)=X1)),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.14/5.80 fof(f383,plain,(
% 0.14/5.80 ![X0,X1]: (join(meet(X0,X1),X0)=X0)),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f81,f254])).
% 0.14/5.80 fof(f4027,plain,(
% 0.14/5.80 ![X0,X1]: (meet(meet(X0,X1),meet(X1,X0))=meet(X1,X0))),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f383,f122])).
% 0.14/5.80 fof(f4335,plain,(
% 0.14/5.80 ![X0,X1]: (meet(meet(meet(X0,X1),meet(X1,X0)),meet(X0,X1))=meet(meet(X1,X0),meet(X0,X1)))),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f4027,f4027])).
% 0.14/5.80 fof(f4409,plain,(
% 0.14/5.80 ![X0,X1]: (meet(meet(X0,X1),meet(X1,X0))=meet(meet(X1,X0),meet(X0,X1)))),
% 0.14/5.80 inference(forward_demodulation,[status(thm)],[f81,f4335])).
% 0.14/5.80 fof(f4410,plain,(
% 0.14/5.80 ![X0,X1]: (meet(X0,X1)=meet(meet(X0,X1),meet(X1,X0)))),
% 0.14/5.80 inference(forward_demodulation,[status(thm)],[f4027,f4409])).
% 0.14/5.80 fof(f4479,plain,(
% 0.14/5.80 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.14/5.80 inference(paramodulation,[status(thm)],[f4027,f4410])).
% 0.14/5.80 fof(f4582,plain,(
% 0.14/5.80 $false),
% 0.14/5.80 inference(backward_subsumption_resolution,[status(thm)],[f10,f4479])).
% 0.14/5.80 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.82 % Elapsed time: 0.224556 seconds
% 0.14/5.82 % CPU time: 1.647000 seconds
% 0.14/5.82 % Total memory used: 53.720 MB
% 0.14/5.82 % Net memory used: 53.136 MB
%------------------------------------------------------------------------------