%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% 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 01:03:10 PM UTC 2026
% Result : Unsatisfiable 3.55s 0.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n008.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 23:08:54 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 3.55/0.93 % Refutation found
% 3.55/0.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.55/0.93 % SZS output start CNFRefutation for theBenchmark
% 3.55/0.93 fof(f1,axiom,(
% 3.55/0.93 (![X]: (meet(X,X) = X ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f3,axiom,(
% 3.55/0.93 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f4,axiom,(
% 3.55/0.93 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f5,axiom,(
% 3.55/0.93 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f6,axiom,(
% 3.55/0.93 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f7,axiom,(
% 3.55/0.93 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f8,axiom,(
% 3.55/0.93 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f9,axiom,(
% 3.55/0.93 (![X,Y,Z]: (meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)) ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f10,axiom,(
% 3.55/0.93 (![X]: (join(complement(X),X) = n1 ))),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f13,negated_conjecture,(
% 3.55/0.93 join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)) ),
% 3.55/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.55/0.93 fof(f14,plain,(
% 3.55/0.93 ![X0]: (meet(X0,X0)=X0)),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f1])).
% 3.55/0.93 fof(f16,plain,(
% 3.55/0.93 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f3])).
% 3.55/0.93 fof(f17,plain,(
% 3.55/0.93 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f4])).
% 3.55/0.93 fof(f18,plain,(
% 3.55/0.93 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f5])).
% 3.55/0.93 fof(f19,plain,(
% 3.55/0.93 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f6])).
% 3.55/0.93 fof(f20,plain,(
% 3.55/0.93 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f7])).
% 3.55/0.93 fof(f21,plain,(
% 3.55/0.93 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f8])).
% 3.55/0.93 fof(f22,plain,(
% 3.55/0.93 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X0,X1),meet(X0,X2)))),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f9])).
% 3.55/0.93 fof(f23,plain,(
% 3.55/0.93 ![X0]: (join(complement(X0),X0)=n1)),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f10])).
% 3.55/0.93 fof(f26,plain,(
% 3.55/0.93 ~join(a,meet(b,join(a,c)))=meet(join(a,b),join(a,c))),
% 3.55/0.93 inference(cnf_transformation,[status(thm)],[f13])).
% 3.55/0.93 fof(f41,plain,(
% 3.55/0.93 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f18,f17])).
% 3.55/0.93 fof(f48,plain,(
% 3.55/0.93 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f19,f16])).
% 3.55/0.93 fof(f52,plain,(
% 3.55/0.93 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f18,f20])).
% 3.55/0.93 fof(f57,plain,(
% 3.55/0.93 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X1,meet(X0,X2)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f18,f20])).
% 3.55/0.93 fof(f69,plain,(
% 3.55/0.93 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f19,f21])).
% 3.55/0.93 fof(f73,plain,(
% 3.55/0.93 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(meet(X0,X2),X1)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f17,f21])).
% 3.55/0.93 fof(f88,plain,(
% 3.55/0.93 ![X0,X1]: (join(n1,X0)=join(complement(X1),join(X1,X0)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f23,f21])).
% 3.55/0.93 fof(f105,plain,(
% 3.55/0.93 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X1,X0),meet(X0,X2)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f18,f22])).
% 3.55/0.93 fof(f114,plain,(
% 3.55/0.93 ![X0,X1,X2,X3]: (join(meet(X0,join(X1,X2)),X3)=join(meet(X0,X1),join(meet(X0,X2),X3)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f22,f21])).
% 3.55/0.93 fof(f152,plain,(
% 3.55/0.93 ![X0]: (meet(X0,n1)=X0)),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f23,f48])).
% 3.55/0.93 fof(f241,plain,(
% 3.55/0.93 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f14,f52])).
% 3.55/0.93 fof(f622,plain,(
% 3.55/0.93 ![X0,X1]: (join(X0,n1)=join(complement(X1),join(X1,X0)))),
% 3.55/0.93 inference(paramodulation,[status(thm)],[f23,f69])).
% 3.55/0.93 fof(f719,plain,(
% 3.55/0.95 ![X0,X1,X2,X3]: (join(meet(X0,X1),X2)=join(meet(X0,X1),join(meet(X1,meet(X0,X3)),X2)))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f57,f73])).
% 3.55/0.95 fof(f782,plain,(
% 3.55/0.95 ![X0]: (join(n1,X0)=n1)),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f152,f41])).
% 3.55/0.95 fof(f797,plain,(
% 3.55/0.95 ![X0,X1]: (n1=join(complement(X0),join(X0,X1)))),
% 3.55/0.95 inference(backward_demodulation,[status(thm)],[f782,f88])).
% 3.55/0.95 fof(f801,plain,(
% 3.55/0.95 ![X0]: (join(X0,n1)=n1)),
% 3.55/0.95 inference(backward_demodulation,[status(thm)],[f797,f622])).
% 3.55/0.95 fof(f1419,plain,(
% 3.55/0.95 ![X0,X1]: (meet(X0,join(X1,n1))=join(meet(X1,X0),X0))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f152,f105])).
% 3.55/0.95 fof(f1431,plain,(
% 3.55/0.95 ![X0,X1,X2]: (join(X0,meet(X1,X2))=join(X0,meet(X1,join(X0,X2))))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f105,f73])).
% 3.55/0.95 fof(f1438,plain,(
% 3.55/0.95 ![X0,X1,X2,X3]: (join(X0,meet(X1,join(X2,X3)))=join(meet(X2,X1),join(meet(X1,X3),X0)))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f105,f69])).
% 3.55/0.95 fof(f1490,plain,(
% 3.55/0.95 ![X0,X1]: (meet(X0,n1)=join(meet(X1,X0),X0))),
% 3.55/0.95 inference(forward_demodulation,[status(thm)],[f801,f1419])).
% 3.55/0.95 fof(f1492,plain,(
% 3.55/0.95 ![X0,X1]: (X0=join(meet(X1,X0),X0))),
% 3.55/0.95 inference(forward_demodulation,[status(thm)],[f152,f1490])).
% 3.55/0.95 fof(f1500,plain,(
% 3.55/0.95 ~join(a,meet(b,c))=meet(join(a,b),join(a,c))),
% 3.55/0.95 inference(backward_demodulation,[status(thm)],[f1431,f26])).
% 3.55/0.95 fof(f1509,plain,(
% 3.55/0.95 ![X0,X1,X2,X3]: (join(meet(X0,X1),X2)=join(X2,meet(X1,join(X0,meet(X0,X3)))))),
% 3.55/0.95 inference(backward_demodulation,[status(thm)],[f1438,f719])).
% 3.55/0.95 fof(f1530,plain,(
% 3.55/0.95 ![X0,X1,X2]: (join(meet(X0,X1),X2)=join(X2,meet(X1,X0)))),
% 3.55/0.95 inference(forward_demodulation,[status(thm)],[f17,f1509])).
% 3.55/0.95 fof(f1531,plain,(
% 3.55/0.95 ~join(a,meet(b,c))=meet(join(b,a),join(a,c))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f19,f1500])).
% 3.55/0.95 fof(f2254,plain,(
% 3.55/0.95 ![X0,X1,X2]: (join(meet(X0,join(X1,X2)),X2)=join(meet(X0,X1),X2))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f1492,f114])).
% 3.55/0.95 fof(f2328,plain,(
% 3.55/0.95 ![X0,X1]: (meet(join(X0,X1),X1)=meet(X1,X1))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f48,f241])).
% 3.55/0.95 fof(f2392,plain,(
% 3.55/0.95 ![X0,X1]: (meet(join(X0,X1),X1)=X1)),
% 3.55/0.95 inference(forward_demodulation,[status(thm)],[f14,f2328])).
% 3.55/0.95 fof(f2932,plain,(
% 3.55/0.95 ~join(a,meet(b,c))=meet(join(b,a),join(c,a))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f19,f1531])).
% 3.55/0.95 fof(f2985,plain,(
% 3.55/0.95 ![X0,X1,X2]: (meet(join(X0,X1),join(X2,X1))=join(meet(X2,join(X0,X1)),X1))),
% 3.55/0.95 inference(paramodulation,[status(thm)],[f2392,f105])).
% 3.55/0.95 fof(f3016,plain,(
% 3.55/0.95 ~join(a,meet(b,c))=join(meet(c,b),a)),
% 3.55/0.95 inference(backward_demodulation,[status(thm)],[f3024,f2932])).
% 3.55/0.95 fof(f3024,plain,(
% 3.55/0.95 ![X0,X1,X2]: (meet(join(X0,X1),join(X2,X1))=join(meet(X2,X0),X1))),
% 3.55/0.95 inference(forward_demodulation,[status(thm)],[f2254,f2985])).
% 3.55/0.95 fof(f3052,plain,(
% 3.55/0.95 $false),
% 3.55/0.95 inference(forward_subsumption_resolution,[status(thm)],[f3016,f1530])).
% 3.55/0.95 % SZS output end CNFRefutation for theBenchmark.p
% 3.55/0.96 % Elapsed time: 0.514390 seconds
% 3.55/0.96 % CPU time: 3.830675 seconds
% 3.55/0.96 % Total memory used: 42.277 MB
% 3.55/0.96 % Net memory used: 41.042 MB
%------------------------------------------------------------------------------