%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT143-1 : 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 : n011.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 01:03:17 PM UTC 2026
% Result : Unsatisfiable 0.25s 15.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT143-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/15.34 % CPULimit : 300
% 0.02/15.34 % WCLimit : 300
% 0.02/15.34 % DateTime : Sun Sep 20 23:15:23 UTC 2026
% 0.02/15.35 % CPUTime :
% 0.02/15.35 % Drodi V4.1.1
% 0.25/15.77 % Refutation found
% 0.25/15.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/15.77 % SZS output start CNFRefutation for theBenchmark
% 0.25/15.77 fof(f1,axiom,(
% 0.25/15.77 (![X]: (meet(X,X) = X ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f3,axiom,(
% 0.25/15.77 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f4,axiom,(
% 0.25/15.77 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f5,axiom,(
% 0.25/15.77 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f6,axiom,(
% 0.25/15.77 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f7,axiom,(
% 0.25/15.77 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f8,axiom,(
% 0.25/15.77 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f9,axiom,(
% 0.25/15.77 (![X,Y,Z]: (join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) ))),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f10,negated_conjecture,(
% 0.25/15.77 meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
% 0.25/15.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/15.77 fof(f11,plain,(
% 0.25/15.77 ![X0]: (meet(X0,X0)=X0)),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f1])).
% 0.25/15.77 fof(f13,plain,(
% 0.25/15.77 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f3])).
% 0.25/15.77 fof(f14,plain,(
% 0.25/15.77 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f4])).
% 0.25/15.77 fof(f15,plain,(
% 0.25/15.77 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f5])).
% 0.25/15.77 fof(f16,plain,(
% 0.25/15.77 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f6])).
% 0.25/15.77 fof(f17,plain,(
% 0.25/15.77 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f7])).
% 0.25/15.77 fof(f18,plain,(
% 0.25/15.77 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f8])).
% 0.25/15.77 fof(f19,plain,(
% 0.25/15.77 ![X0,X1,X2]: (join(meet(X0,X1),meet(X1,X2))=join(meet(X0,X1),meet(X1,join(meet(X0,X1),meet(X2,join(X0,X1))))))),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f9])).
% 0.25/15.77 fof(f20,plain,(
% 0.25/15.77 ~meet(a,join(meet(a,b),meet(a,c)))=meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))),
% 0.25/15.77 inference(cnf_transformation,[status(thm)],[f10])).
% 0.25/15.77 fof(f40,plain,(
% 0.25/15.77 ~meet(a,join(meet(a,b),meet(a,c)))=meet(a,join(meet(b,a),join(meet(a,c),meet(c,join(a,b)))))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f15,f20])).
% 0.25/15.77 fof(f41,plain,(
% 0.25/15.77 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.25/15.77 fof(f50,plain,(
% 0.25/15.77 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f16,f13])).
% 0.25/15.77 fof(f54,plain,(
% 0.25/15.77 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f13,f41])).
% 0.25/15.77 fof(f60,plain,(
% 0.25/15.77 ![X0,X1]: (join(X0,join(X1,X0))=join(X0,X1))),
% 0.25/15.77 inference(forward_demodulation,[status(thm)],[f18,f54])).
% 0.25/15.77 fof(f63,plain,(
% 0.25/15.77 ![X0,X1]: (meet(meet(X0,X1),X0)=meet(X0,X1))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f14,f50])).
% 0.25/15.77 fof(f71,plain,(
% 0.25/15.77 ![X0,X1]: (meet(X0,meet(X1,X0))=meet(X0,X1))),
% 0.25/15.77 inference(forward_demodulation,[status(thm)],[f17,f63])).
% 0.25/15.77 fof(f79,plain,(
% 0.25/15.77 ![X0,X1]: (meet(join(X0,X1),join(X1,X0))=join(X0,X1))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f60,f50])).
% 0.25/15.77 fof(f88,plain,(
% 0.25/15.77 ![X0,X1]: (meet(X0,meet(X0,X1))=meet(X0,X1))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f15,f71])).
% 0.25/15.77 fof(f134,plain,(
% 0.25/15.77 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(meet(X0,X1),X2))))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f13,f17])).
% 0.25/15.77 fof(f135,plain,(
% 0.25/15.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.25/15.77 fof(f196,plain,(
% 0.25/15.77 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f18,f50])).
% 0.25/15.77 fof(f262,plain,(
% 0.25/15.77 ![X0,X1,X2]: (meet(meet(X0,X1),join(X2,X0))=meet(X0,X1))),
% 0.25/15.77 inference(paramodulation,[status(thm)],[f14,f196])).
% 0.25/15.78 fof(f279,plain,(
% 0.25/15.78 ![X0,X1,X2]: (meet(X0,meet(X1,join(X2,X0)))=meet(X0,X1))),
% 0.25/15.78 inference(forward_demodulation,[status(thm)],[f17,f262])).
% 0.25/15.78 fof(f373,plain,(
% 0.25/15.78 ![X0,X1]: (meet(join(meet(X0,X1),X1),X1)=join(meet(X0,X1),X1))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f41,f79])).
% 0.25/15.78 fof(f515,plain,(
% 0.25/15.78 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f11,f135])).
% 0.25/15.78 fof(f629,plain,(
% 0.25/15.78 ![X0,X1]: (meet(join(X0,X1),X1)=meet(X1,X1))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f50,f515])).
% 0.25/15.78 fof(f675,plain,(
% 0.25/15.78 ![X0,X1]: (X0=join(meet(X1,X0),X0))),
% 0.25/15.78 inference(backward_demodulation,[status(thm)],[f677,f373])).
% 0.25/15.78 fof(f677,plain,(
% 0.25/15.78 ![X0,X1]: (meet(join(X0,X1),X1)=X1)),
% 0.25/15.78 inference(forward_demodulation,[status(thm)],[f11,f629])).
% 0.25/15.78 fof(f1123,plain,(
% 0.25/15.78 ~meet(a,join(meet(a,b),meet(a,c)))=meet(a,join(meet(b,a),join(meet(a,c),meet(c,join(b,a)))))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f16,f40])).
% 0.25/15.78 fof(f1892,plain,(
% 0.25/15.78 ![X0,X1,X2]: (meet(X0,join(meet(X1,X0),X2))=join(meet(X1,X0),meet(X0,join(meet(X1,X0),X2))))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f134,f675])).
% 0.25/15.78 fof(f1990,plain,(
% 0.25/15.78 ![X0,X1,X2]: (join(meet(X0,X1),meet(X1,X2))=meet(X1,join(meet(X0,X1),meet(X2,join(X0,X1)))))),
% 0.25/15.78 inference(backward_demodulation,[status(thm)],[f1892,f19])).
% 0.25/15.78 fof(f2105,plain,(
% 0.25/15.78 ![X0,X1,X2]: (meet(X0,join(meet(X1,X0),meet(X0,X2)))=meet(X0,join(meet(X1,X0),meet(X2,join(X1,X0)))))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f1990,f88])).
% 0.25/15.78 fof(f2287,plain,(
% 0.25/15.78 ![X0,X1,X2]: (meet(X0,join(meet(X1,X0),meet(X0,X2)))=join(meet(X1,X0),meet(X0,X2)))),
% 0.25/15.78 inference(forward_demodulation,[status(thm)],[f1990,f2105])).
% 0.25/15.78 fof(f3768,plain,(
% 0.25/15.78 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X2,X0),meet(X0,join(X1,X2))))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f279,f675])).
% 0.25/15.78 fof(f3846,plain,(
% 0.25/15.78 ~meet(a,join(meet(a,b),meet(a,c)))=meet(a,join(meet(b,a),meet(c,join(b,a))))),
% 0.25/15.78 inference(backward_demodulation,[status(thm)],[f3768,f1123])).
% 0.25/15.78 fof(f3866,plain,(
% 0.25/15.78 ~meet(a,join(meet(a,b),meet(a,c)))=join(meet(b,a),meet(a,c))),
% 0.25/15.78 inference(forward_demodulation,[status(thm)],[f1990,f3846])).
% 0.25/15.78 fof(f4881,plain,(
% 0.25/15.78 ~meet(a,join(meet(b,a),meet(a,c)))=join(meet(b,a),meet(a,c))),
% 0.25/15.78 inference(paramodulation,[status(thm)],[f15,f3866])).
% 0.25/15.78 fof(f4885,plain,(
% 0.25/15.78 ~join(meet(b,a),meet(a,c))=join(meet(b,a),meet(a,c))),
% 0.25/15.78 inference(forward_demodulation,[status(thm)],[f2287,f4881])).
% 0.25/15.78 fof(f4886,plain,(
% 0.25/15.78 $false),
% 0.25/15.78 inference(trivial_equality_resolution,[status(thm)],[f4885])).
% 0.25/15.78 % SZS output end CNFRefutation for theBenchmark.p
% 18.43/34.53 % Elapsed time: 19.169963 seconds
% 18.43/34.53 % CPU time: 151.092949 seconds
% 18.43/34.53 % Total memory used: 115.706 GB
% 18.43/34.53 % Net memory used: 115.705 GB
%------------------------------------------------------------------------------