%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT043-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 49.32s 6.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT043-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 23:07:57 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 49.32/6.62 % Refutation found
% 49.32/6.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 49.32/6.62 % SZS output start CNFRefutation for theBenchmark
% 49.32/6.62 fof(f2,axiom,(
% 49.32/6.62 (![X]: (join(X,X) = X ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f3,axiom,(
% 49.32/6.62 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f4,axiom,(
% 49.32/6.62 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f5,axiom,(
% 49.32/6.62 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f6,axiom,(
% 49.32/6.62 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f7,axiom,(
% 49.32/6.62 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f8,axiom,(
% 49.32/6.62 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f9,axiom,(
% 49.32/6.62 (![X,Y,Z]: (meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)) ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f10,axiom,(
% 49.32/6.62 (![X]: (join(complement(X),X) = n1 ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f11,axiom,(
% 49.32/6.62 (![X]: (meet(complement(X),X) = n0 ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f12,axiom,(
% 49.32/6.62 (![X]: (complement(complement(X)) = X ))),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f13,negated_conjecture,(
% 49.32/6.62 complement(join(c,d)) != meet(complement(c),complement(d)) ),
% 49.32/6.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.32/6.62 fof(f15,plain,(
% 49.32/6.62 ![X0]: (join(X0,X0)=X0)),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f2])).
% 49.32/6.62 fof(f16,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f3])).
% 49.32/6.62 fof(f17,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f4])).
% 49.32/6.62 fof(f18,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f5])).
% 49.32/6.62 fof(f19,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f6])).
% 49.32/6.62 fof(f20,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f7])).
% 49.32/6.62 fof(f21,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f8])).
% 49.32/6.62 fof(f22,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X0,X1),meet(X0,X2)))),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f9])).
% 49.32/6.62 fof(f23,plain,(
% 49.32/6.62 ![X0]: (join(complement(X0),X0)=n1)),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f10])).
% 49.32/6.62 fof(f24,plain,(
% 49.32/6.62 ![X0]: (meet(complement(X0),X0)=n0)),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f11])).
% 49.32/6.62 fof(f25,plain,(
% 49.32/6.62 ![X0]: (complement(complement(X0))=X0)),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f12])).
% 49.32/6.62 fof(f26,plain,(
% 49.32/6.62 ~complement(join(c,d))=meet(complement(c),complement(d))),
% 49.32/6.62 inference(cnf_transformation,[status(thm)],[f13])).
% 49.32/6.62 fof(f33,plain,(
% 49.32/6.62 ![X0]: (join(X0,complement(X0))=n1)),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f19,f23])).
% 49.32/6.62 fof(f34,plain,(
% 49.32/6.62 ![X0]: (meet(X0,complement(X0))=n0)),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f18,f24])).
% 49.32/6.62 fof(f39,plain,(
% 49.32/6.62 ![X0]: (join(X0,n0)=X0)),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f34,f17])).
% 49.32/6.62 fof(f47,plain,(
% 49.32/6.62 ![X0]: (meet(X0,n1)=X0)),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f33,f16])).
% 49.32/6.62 fof(f52,plain,(
% 49.32/6.62 ![X0]: (X0=join(n0,X0))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f39,f19])).
% 49.32/6.62 fof(f59,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f19,f16])).
% 49.32/6.62 fof(f96,plain,(
% 49.32/6.62 ![X0,X1]: (meet(meet(X0,X1),X0)=meet(X0,X1))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f17,f59])).
% 49.32/6.62 fof(f103,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,meet(X1,X0))=meet(X0,X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f20,f96])).
% 49.32/6.62 fof(f123,plain,(
% 49.32/6.62 ![X0]: (X0=meet(n1,X0))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f47,f18])).
% 49.32/6.62 fof(f133,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f18,f17])).
% 49.32/6.62 fof(f145,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f18,f20])).
% 49.32/6.62 fof(f153,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(join(X2,X0),X1)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f59,f20])).
% 49.32/6.62 fof(f180,plain,(
% 49.32/6.62 ![X0,X1]: (n1=join(X0,join(X1,complement(join(X0,X1)))))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f33,f21])).
% 49.32/6.62 fof(f183,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f19,f21])).
% 49.32/6.62 fof(f188,plain,(
% 49.32/6.62 ![X0,X1]: (join(n1,X0)=join(X1,join(complement(X1),X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f33,f21])).
% 49.32/6.62 fof(f190,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(meet(X0,X2),X1)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f17,f21])).
% 49.32/6.62 fof(f191,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(X0,X2)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f19,f21])).
% 49.32/6.62 fof(f197,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f21,f59])).
% 49.32/6.62 fof(f208,plain,(
% 49.32/6.62 ![X0]: (join(n1,X0)=n1)),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f16,f123])).
% 49.32/6.62 fof(f224,plain,(
% 49.32/6.62 ![X0,X1]: (n1=join(X0,join(complement(X0),X1)))),
% 49.32/6.62 inference(backward_demodulation,[status(thm)],[f208,f188])).
% 49.32/6.62 fof(f254,plain,(
% 49.32/6.62 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f16,f133])).
% 49.32/6.62 fof(f267,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,join(X1,X0))=join(X0,X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f21,f254])).
% 49.32/6.62 fof(f352,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,join(X2,X0)))=join(X0,join(X1,X2)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f21,f267])).
% 49.32/6.62 fof(f413,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(meet(X0,X1),join(X2,X0))=meet(X0,X1))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f17,f197])).
% 49.32/6.62 fof(f432,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,meet(X1,join(X2,X0)))=meet(X0,X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f20,f413])).
% 49.32/6.62 fof(f975,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(join(X1,X0),join(X0,X2)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f267,f191])).
% 49.32/6.62 fof(f990,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,join(X2,join(X1,X0))))=join(join(X1,X0),X2))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f191,f267])).
% 49.32/6.62 fof(f1028,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),join(X1,X2)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f191,f975])).
% 49.32/6.62 fof(f1029,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X0,join(X1,X2))))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f191,f1028])).
% 49.32/6.62 fof(f1039,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,join(X2,X0)))=join(join(X2,X0),X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f1029,f990])).
% 49.32/6.62 fof(f1040,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X2,X0),X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f352,f1039])).
% 49.32/6.62 fof(f1232,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(meet(X0,join(X1,X2)),meet(X2,X0))=meet(X0,join(X1,X2)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f432,f133])).
% 49.32/6.62 fof(f1282,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(meet(X0,X1),meet(X1,join(X2,X0)))=meet(X1,join(X2,X0)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f19,f1232])).
% 49.32/6.62 fof(f1425,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,join(complement(X0),X1))=join(n0,meet(X0,X1)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f34,f22])).
% 49.32/6.62 fof(f1430,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(X1,X2))=join(meet(X1,X0),meet(X0,X2)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f18,f22])).
% 49.32/6.62 fof(f1493,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,join(complement(X0),X1))=meet(X0,X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f52,f1425])).
% 49.32/6.62 fof(f1505,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X1)))=meet(X0,join(X2,X1)))),
% 49.32/6.62 inference(backward_demodulation,[status(thm)],[f1430,f1282])).
% 49.32/6.62 fof(f1580,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(X1,X2))=meet(X0,join(X2,X1)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f267,f1505])).
% 49.32/6.62 fof(f2130,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(complement(X0),X1))=meet(X0,join(meet(complement(X0),X2),X1)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f190,f1493])).
% 49.32/6.62 fof(f2170,plain,(
% 49.32/6.62 ![X0,X1]: (meet(join(complement(X0),X1),meet(X0,X1))=meet(join(complement(X0),X1),X0))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f1493,f103])).
% 49.32/6.62 fof(f2176,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,join(meet(complement(X0),X2),X1)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f1493,f2130])).
% 49.32/6.62 fof(f2214,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,meet(join(complement(X1),X0),X1))=meet(join(complement(X1),X0),X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f145,f2170])).
% 49.32/6.62 fof(f2215,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,X1)=meet(join(complement(X1),X0),X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f153,f2214])).
% 49.32/6.62 fof(f2216,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,X1)=meet(X1,join(complement(X1),X0)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f18,f2215])).
% 49.32/6.62 fof(f2236,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,X1)=meet(X1,join(X0,complement(X1))))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f19,f2216])).
% 49.32/6.62 fof(f2241,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,complement(X1))=meet(complement(X1),join(X1,X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f25,f2216])).
% 49.32/6.62 fof(f2340,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(join(X0,X1),X2)=meet(X2,join(X0,join(X1,complement(X2)))))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f21,f2236])).
% 49.32/6.62 fof(f2348,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,complement(X1))=meet(complement(X1),join(X0,X1)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f25,f2236])).
% 49.32/6.62 fof(f2363,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,complement(X0))))=join(meet(X0,X1),meet(X2,X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f2236,f22])).
% 49.32/6.62 fof(f2396,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(join(X0,X1),X2)=join(meet(X2,X0),meet(X1,X2)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f2340,f2363])).
% 49.32/6.62 fof(f3629,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,X1)=join(X0,join(X1,join(X0,X1))))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f15,f183])).
% 49.32/6.62 fof(f3647,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,X1)=join(X1,join(meet(X2,X1),X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f133,f183])).
% 49.32/6.62 fof(f3651,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f15,f183])).
% 49.32/6.62 fof(f3755,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,X1)=join(X1,join(X0,X1)))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f1029,f3629])).
% 49.32/6.62 fof(f4162,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X0,join(X2,X1)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f191,f1040])).
% 49.32/6.62 fof(f4193,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(join(X0,X1),join(X2,X0))=join(join(X1,X0),X2))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f3651,f1040])).
% 49.32/6.62 fof(f4315,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(join(X1,X2),X2))=join(join(X0,X2),X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f1040,f4193])).
% 49.32/6.62 fof(f4316,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,join(X2,X1)))=join(join(X0,X1),X2))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f4162,f4315])).
% 49.32/6.62 fof(f4317,plain,(
% 49.32/6.62 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X2),X1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f3755,f4316])).
% 49.32/6.62 fof(f5095,plain,(
% 49.32/6.62 ![X0,X1]: (meet(join(X0,complement(join(complement(X1),X0))),X1)=meet(X1,n1))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f180,f2216])).
% 49.32/6.62 fof(f5200,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,join(X1,complement(join(complement(X0),X1))))=meet(X0,n1))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f18,f5095])).
% 49.32/6.62 fof(f5201,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,join(X1,complement(join(complement(X0),X1))))=X0)),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f47,f5200])).
% 49.32/6.62 fof(f6068,plain,(
% 49.32/6.62 ![X0,X1,X2]: (meet(join(X0,X1),X2)=meet(X2,join(X1,X0)))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f18,f1580])).
% 49.32/6.62 fof(f12082,plain,(
% 49.32/6.62 ![X0,X1]: (join(join(X0,complement(join(complement(X1),X0))),X1)=join(X0,complement(join(complement(X1),X0))))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f5201,f133])).
% 49.32/6.62 fof(f12245,plain,(
% 49.32/6.62 ![X0,X1]: (join(X0,join(X1,complement(join(complement(X1),X0))))=join(X0,complement(join(complement(X1),X0))))),
% 49.32/6.62 inference(forward_demodulation,[status(thm)],[f4317,f12082])).
% 49.32/6.62 fof(f12470,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,complement(meet(complement(X0),X1)))=meet(X0,n1))),
% 49.32/6.62 inference(paramodulation,[status(thm)],[f33,f2176])).
% 49.32/6.62 fof(f12626,plain,(
% 49.32/6.62 ![X0,X1]: (meet(X0,complement(meet(complement(X0),X1)))=X0)),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f47,f12470])).
% 49.32/6.69 fof(f12733,plain,(
% 49.32/6.69 ![X0,X1]: (meet(X0,complement(meet(X1,complement(X0))))=X0)),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f2348,f12626])).
% 49.32/6.69 fof(f12898,plain,(
% 49.32/6.69 ![X0,X1]: (meet(complement(X0),complement(meet(X1,X0)))=complement(X0))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f25,f12733])).
% 49.32/6.69 fof(f13813,plain,(
% 49.32/6.69 ![X0,X1]: (meet(complement(join(X0,X1)),complement(X1))=complement(join(X0,X1)))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f59,f12898])).
% 49.32/6.69 fof(f13904,plain,(
% 49.32/6.69 ![X0,X1]: (meet(complement(X0),complement(join(X1,X0)))=complement(join(X1,X0)))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f18,f13813])).
% 49.32/6.69 fof(f21376,plain,(
% 49.32/6.69 ![X0,X1,X2]: (meet(join(X0,X1),join(X1,X2))=join(meet(join(X1,X2),X0),X1))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f16,f2396])).
% 49.32/6.69 fof(f21390,plain,(
% 49.32/6.69 ![X0,X1,X2]: (join(meet(X0,X1),X2)=join(X2,meet(join(X2,X0),X1)))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f2396,f3647])).
% 49.32/6.69 fof(f21801,plain,(
% 49.32/6.69 ![X0,X1,X2]: (meet(join(X0,X1),join(X1,X2))=join(X1,meet(join(X1,X2),X0)))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f19,f21376])).
% 49.32/6.69 fof(f21820,plain,(
% 49.32/6.69 ![X0,X1,X2]: (meet(join(X0,X1),join(X1,X2))=join(meet(X2,X0),X1))),
% 49.32/6.69 inference(backward_demodulation,[status(thm)],[f21390,f21801])).
% 49.32/6.69 fof(f29310,plain,(
% 49.32/6.69 ![X0,X1,X2]: (meet(join(X0,X1),n1)=join(meet(join(complement(X1),X2),X0),X1))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f224,f21820])).
% 49.32/6.69 fof(f29745,plain,(
% 49.32/6.69 ![X0,X1,X2]: (meet(n1,join(X0,X1))=join(meet(join(complement(X0),X2),X1),X0))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f6068,f29310])).
% 49.32/6.69 fof(f29746,plain,(
% 49.32/6.69 ![X0,X1,X2]: (join(X0,X1)=join(meet(join(complement(X0),X2),X1),X0))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f123,f29745])).
% 49.32/6.69 fof(f29747,plain,(
% 49.32/6.69 ![X0,X1,X2]: (join(X0,X1)=join(X0,meet(join(complement(X0),X2),X1)))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f19,f29746])).
% 49.32/6.69 fof(f35908,plain,(
% 49.32/6.69 ![X0,X1]: (join(X0,complement(join(complement(X0),X1)))=join(X0,n0))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f34,f29747])).
% 49.32/6.69 fof(f36138,plain,(
% 49.32/6.69 ![X0,X1]: (join(X0,X1)=join(X0,complement(join(complement(X1),X0))))),
% 49.32/6.69 inference(backward_demodulation,[status(thm)],[f36141,f12245])).
% 49.32/6.69 fof(f36141,plain,(
% 49.32/6.69 ![X0,X1]: (join(X0,complement(join(complement(X0),X1)))=X0)),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f39,f35908])).
% 49.32/6.69 fof(f37277,plain,(
% 49.32/6.69 ![X0,X1]: (meet(complement(join(complement(X0),X1)),complement(X1))=meet(complement(X1),join(X1,X0)))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f36138,f2241])).
% 49.32/6.69 fof(f37589,plain,(
% 49.32/6.69 ![X0,X1]: (meet(complement(X0),complement(join(complement(X1),X0)))=meet(complement(X0),join(X0,X1)))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f18,f37277])).
% 49.32/6.69 fof(f37590,plain,(
% 49.32/6.69 ![X0,X1]: (complement(join(complement(X0),X1))=meet(complement(X1),join(X1,X0)))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f13904,f37589])).
% 49.32/6.69 fof(f37644,plain,(
% 49.32/6.69 ![X0,X1]: (complement(join(complement(X0),X1))=meet(X0,complement(X1)))),
% 49.32/6.69 inference(forward_demodulation,[status(thm)],[f2241,f37590])).
% 49.32/6.69 fof(f37852,plain,(
% 49.32/6.69 ![X0,X1]: (complement(join(X0,X1))=meet(complement(X0),complement(X1)))),
% 49.32/6.69 inference(paramodulation,[status(thm)],[f25,f37644])).
% 49.32/6.69 fof(f38033,plain,(
% 49.32/6.69 ~complement(join(c,d))=complement(join(c,d))),
% 49.32/6.69 inference(backward_demodulation,[status(thm)],[f37852,f26])).
% 49.32/6.69 fof(f38377,plain,(
% 49.32/6.69 $false),
% 49.32/6.69 inference(trivial_equality_resolution,[status(thm)],[f38033])).
% 49.32/6.69 % SZS output end CNFRefutation for theBenchmark.p
% 37.79/7.91 % Elapsed time: 7.329552 seconds
% 37.79/7.91 % CPU time: 23.493065 seconds
% 37.79/7.91 % Total memory used: 137.836 MB
% 37.79/7.91 % Net memory used: 133.250 MB
%------------------------------------------------------------------------------