TSTP Solution File: LAT235-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LAT235-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:17:07 EDT 2023

% Result   : Unsatisfiable 147.66s 18.98s
% Output   : CNFRefutation 148.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : LAT235-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n012.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 09:19:40 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 147.66/18.98  % Refutation found
% 147.66/18.98  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 147.66/18.98  % SZS output start CNFRefutation for theBenchmark
% 147.66/18.98  fof(f2,axiom,(
% 147.66/18.98    (![X]: (join(X,X) = X ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f3,axiom,(
% 147.66/18.98    (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f4,axiom,(
% 147.66/18.98    (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f5,axiom,(
% 147.66/18.98    (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f6,axiom,(
% 147.66/18.98    (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f7,axiom,(
% 147.66/18.98    (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f8,axiom,(
% 147.66/18.98    (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f9,axiom,(
% 147.66/18.98    (![X]: (join(X,complement(X)) = one ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f10,axiom,(
% 147.66/18.98    (![X]: (meet(X,complement(X)) = zero ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f11,axiom,(
% 147.66/18.98    (![X,Y]: (( meet(X,Y) != zero| join(X,Y) != one| complement(X) = Y ) ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f12,axiom,(
% 147.66/18.98    (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,U))) = meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z)))))) ))),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f13,hypothesis,(
% 147.66/18.98    meet(b,a) = a ),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f14,negated_conjecture,(
% 147.66/18.98    join(complement(b),complement(a)) != complement(a) ),
% 147.66/18.98    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 147.66/18.98  fof(f16,plain,(
% 147.66/18.98    ![X0]: (join(X0,X0)=X0)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f2])).
% 147.66/18.98  fof(f17,plain,(
% 147.66/18.98    ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f3])).
% 147.66/18.98  fof(f18,plain,(
% 147.66/18.98    ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f4])).
% 147.66/18.98  fof(f19,plain,(
% 147.66/18.98    ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f5])).
% 147.66/18.98  fof(f20,plain,(
% 147.66/18.98    ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f6])).
% 147.66/18.98  fof(f21,plain,(
% 147.66/18.98    ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f7])).
% 147.66/18.98  fof(f22,plain,(
% 147.66/18.98    ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f8])).
% 147.66/18.98  fof(f23,plain,(
% 147.66/18.98    ![X0]: (join(X0,complement(X0))=one)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f9])).
% 147.66/18.98  fof(f24,plain,(
% 147.66/18.98    ![X0]: (meet(X0,complement(X0))=zero)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f10])).
% 147.66/18.98  fof(f25,plain,(
% 147.66/18.98    ![X0,X1]: (~meet(X0,X1)=zero|~join(X0,X1)=one|complement(X0)=X1)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f11])).
% 147.66/18.98  fof(f26,plain,(
% 147.66/18.98    ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,X3)))=meet(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))))),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f12])).
% 147.66/18.98  fof(f27,plain,(
% 147.66/18.98    meet(b,a)=a),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f13])).
% 147.66/18.98  fof(f28,plain,(
% 147.66/18.98    ~join(complement(b),complement(a))=complement(a)),
% 147.66/18.98    inference(cnf_transformation,[status(esa)],[f14])).
% 147.66/18.98  fof(f29,plain,(
% 147.66/18.98    join(b,a)=b),
% 147.66/18.98    inference(paramodulation,[status(thm)],[f27,f18])).
% 147.66/18.98  fof(f31,plain,(
% 147.66/18.98    ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 147.66/18.98    inference(paramodulation,[status(thm)],[f20,f17])).
% 147.66/18.98  fof(f36,plain,(
% 147.66/18.98    ![X0,X1,X2]: (join(X0,X1)=join(X0,join(X1,meet(join(X0,X1),X2))))),
% 147.66/18.98    inference(paramodulation,[status(thm)],[f18,f22])).
% 147.66/18.98  fof(f37,plain,(
% 147.66/18.98    ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 147.66/18.98    inference(paramodulation,[status(thm)],[f20,f22])).
% 147.66/18.98  fof(f42,plain,(
% 147.66/18.98    ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(X0,X2)))),
% 147.66/18.98    inference(paramodulation,[status(thm)],[f20,f22])).
% 147.66/18.98  fof(f44,plain,(
% 147.66/18.98    ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 147.66/18.98    inference(paramodulation,[status(thm)],[f16,f22])).
% 147.66/18.98  fof(f54,plain,(
% 147.66/18.98    ![X0,X1]: (join(X0,X1)=join(X0,join(X1,X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f20,f44])).
% 147.66/18.99  fof(f62,plain,(
% 147.66/18.99    ![X0,X1]: (join(join(X0,X1),X0)=join(join(X0,X1),join(X0,X1)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f44,f54])).
% 147.66/18.99  fof(f63,plain,(
% 147.66/18.99    ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f16,f62])).
% 147.66/18.99  fof(f83,plain,(
% 147.66/18.99    ![X0,X1]: (join(join(X0,X1),X1)=join(X1,X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f20,f63])).
% 147.66/18.99  fof(f105,plain,(
% 147.66/18.99    ![X0,X1]: (join(X0,meet(X0,X1))=join(meet(X0,X1),X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f18,f83])).
% 147.66/18.99  fof(f106,plain,(
% 147.66/18.99    ![X0,X1]: (X0=join(meet(X0,X1),X0))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f18,f105])).
% 147.66/18.99  fof(f118,plain,(
% 147.66/18.99    ![X0,X1]: (meet(join(X0,X1),join(X1,X0))=join(X0,X1))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f83,f17])).
% 147.66/18.99  fof(f194,plain,(
% 147.66/18.99    ![X0,X1]: (X0=join(meet(X1,X0),X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f19,f106])).
% 147.66/18.99  fof(f216,plain,(
% 147.66/18.99    ![X0,X1]: (meet(meet(X0,X1),X1)=meet(X0,X1))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f194,f17])).
% 147.66/18.99  fof(f262,plain,(
% 147.66/18.99    ![X0,X1]: (meet(X0,meet(X1,X0))=meet(X1,X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f19,f216])).
% 147.66/18.99  fof(f290,plain,(
% 147.66/18.99    ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(meet(X0,X1),X2))))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f17,f21])).
% 147.66/18.99  fof(f291,plain,(
% 147.66/18.99    ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f19,f21])).
% 147.66/18.99  fof(f324,plain,(
% 147.66/18.99    ![X0]: (join(one,complement(X0))=join(complement(X0),X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f23,f83])).
% 147.66/18.99  fof(f325,plain,(
% 147.66/18.99    ![X0]: (join(complement(X0),one)=join(complement(X0),X0))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f20,f324])).
% 147.66/18.99  fof(f326,plain,(
% 147.66/18.99    ![X0]: (join(one,X0)=join(X0,complement(X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f23,f63])).
% 147.66/18.99  fof(f327,plain,(
% 147.66/18.99    ![X0]: (join(one,X0)=one)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f23,f326])).
% 147.66/18.99  fof(f329,plain,(
% 147.66/18.99    ![X0]: (join(X0,complement(X0))=join(X0,one))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f23,f44])).
% 147.66/18.99  fof(f330,plain,(
% 147.66/18.99    ![X0]: (one=join(X0,one))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f23,f329])).
% 147.66/18.99  fof(f331,plain,(
% 147.66/18.99    ![X0,X1]: (join(one,X0)=join(X1,join(complement(X1),X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f23,f22])).
% 147.66/18.99  fof(f332,plain,(
% 147.66/18.99    ![X0]: (meet(X0,one)=X0)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f23,f17])).
% 147.66/18.99  fof(f344,plain,(
% 147.66/18.99    ![X0]: (X0=join(zero,X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f24,f106])).
% 147.66/18.99  fof(f345,plain,(
% 147.66/18.99    ![X0]: (join(X0,zero)=X0)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f24,f18])).
% 147.66/18.99  fof(f347,plain,(
% 147.66/18.99    ![X0]: (meet(one,X0)=X0)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f19,f332])).
% 147.66/18.99  fof(f419,plain,(
% 147.66/18.99    zero=complement(one)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f24,f347])).
% 147.66/18.99  fof(f679,plain,(
% 147.66/18.99    ![X0,X1,X2]: (join(X0,X1)=join(X1,join(meet(join(X0,X1),X2),X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f36,f37])).
% 147.66/18.99  fof(f714,plain,(
% 147.66/18.99    ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X1,X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f20,f37])).
% 147.66/18.99  fof(f1206,plain,(
% 147.66/18.99    ![X0,X1]: (meet(join(X0,X1),X1)=meet(X1,join(X0,X1)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f31,f262])).
% 147.66/18.99  fof(f1207,plain,(
% 147.66/18.99    ![X0,X1]: (meet(join(X0,X1),X1)=X1)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f31,f1206])).
% 147.66/18.99  fof(f1208,plain,(
% 147.66/18.99    ![X0,X1]: (meet(join(X0,X1),X0)=meet(X0,join(X0,X1)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f17,f262])).
% 147.66/18.99  fof(f1209,plain,(
% 147.66/18.99    ![X0,X1]: (meet(join(X0,X1),X0)=X0)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f17,f1208])).
% 147.66/18.99  fof(f1312,plain,(
% 147.66/18.99    ![X0,X1,X2,X3]: (~meet(X0,join(X1,meet(X2,X3)))=zero|~join(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))))=one|complement(X0)=join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f26,f25])).
% 147.66/18.99  fof(f1319,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|~join(X1,X0)=one|complement(X1)=X0)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f19,f25])).
% 147.66/18.99  fof(f2597,plain,(
% 147.66/18.99    ![X0]: (one=join(complement(X0),X0))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f330,f325])).
% 147.66/18.99  fof(f3770,plain,(
% 147.66/18.99    ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X0,join(X2,X1)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f37,f714])).
% 147.66/18.99  fof(f5779,plain,(
% 147.66/18.99    ![X0,X1,X2]: (meet(join(X0,X1),meet(X2,X0))=meet(X2,X0))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f17,f291])).
% 147.66/18.99  fof(f5780,plain,(
% 147.66/18.99    ![X0,X1,X2]: (meet(meet(join(X0,X1),X2),X0)=meet(X2,X0))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f21,f5779])).
% 147.66/18.99  fof(f6952,plain,(
% 147.66/18.99    ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X2,join(X1,X0)))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f20,f3770])).
% 147.66/18.99  fof(f13883,plain,(
% 147.66/18.99    ![X0,X1]: (one=join(X0,join(complement(X0),X1)))),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f327,f331])).
% 147.66/18.99  fof(f14135,plain,(
% 147.66/18.99    spl0_14 <=> one=one),
% 147.66/18.99    introduced(split_symbol_definition)).
% 147.66/18.99  fof(f14137,plain,(
% 147.66/18.99    ~one=one|spl0_14),
% 147.66/18.99    inference(component_clause,[status(thm)],[f14135])).
% 147.66/18.99  fof(f14183,plain,(
% 147.66/18.99    spl0_16 <=> ~meet(X0,join(complement(X0),meet(X1,X2)))=zero|complement(X0)=join(complement(X0),meet(X1,join(complement(X0),meet(X2,join(complement(X0),X1)))))),
% 147.66/18.99    introduced(split_symbol_definition)).
% 147.66/18.99  fof(f14184,plain,(
% 147.66/18.99    ![X0,X1,X2]: (~meet(X0,join(complement(X0),meet(X1,X2)))=zero|complement(X0)=join(complement(X0),meet(X1,join(complement(X0),meet(X2,join(complement(X0),X1)))))|~spl0_16)),
% 147.66/18.99    inference(component_clause,[status(thm)],[f14183])).
% 147.66/18.99  fof(f14186,plain,(
% 147.66/18.99    ![X0,X1,X2]: (~meet(X0,join(complement(X0),meet(X1,X2)))=zero|~one=one|complement(X0)=join(complement(X0),meet(X1,join(complement(X0),meet(X2,join(complement(X0),X1))))))),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f13883,f1312])).
% 147.66/18.99  fof(f14187,plain,(
% 147.66/18.99    spl0_16|~spl0_14),
% 147.66/18.99    inference(split_clause,[status(thm)],[f14186,f14183,f14135])).
% 147.66/18.99  fof(f14647,plain,(
% 147.66/18.99    $false|spl0_14),
% 147.66/18.99    inference(trivial_equality_resolution,[status(esa)],[f14137])).
% 147.66/18.99  fof(f14648,plain,(
% 147.66/18.99    spl0_14),
% 147.66/18.99    inference(contradiction_clause,[status(thm)],[f14647])).
% 147.66/18.99  fof(f14652,plain,(
% 147.66/18.99    ![X0,X1,X2]: (~meet(X0,join(meet(X1,X2),complement(X0)))=zero|complement(X0)=join(complement(X0),meet(X1,join(complement(X0),meet(X2,join(complement(X0),X1)))))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f20,f14184])).
% 147.66/18.99  fof(f14653,plain,(
% 147.66/18.99    ![X0,X1,X2]: (~meet(X0,join(meet(X1,X2),complement(X0)))=zero|complement(X0)=join(meet(X1,join(complement(X0),meet(X2,join(complement(X0),X1)))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f20,f14652])).
% 147.66/18.99  fof(f14654,plain,(
% 147.66/18.99    ![X0,X1,X2]: (~meet(X0,join(meet(X1,X2),complement(X0)))=zero|complement(X0)=join(meet(X1,join(meet(X2,join(complement(X0),X1)),complement(X0))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f20,f14653])).
% 147.66/18.99  fof(f17157,plain,(
% 147.66/18.99    ![X0,X1]: (~join(meet(X0,X1),complement(one))=zero|complement(one)=join(meet(X0,join(meet(X1,join(complement(one),X0)),complement(one))),complement(one))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f347,f14654])).
% 147.66/18.99  fof(f17158,plain,(
% 147.66/18.99    ![X0,X1]: (~join(meet(X0,X1),zero)=zero|complement(one)=join(meet(X0,join(meet(X1,join(complement(one),X0)),complement(one))),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f419,f17157])).
% 147.66/18.99  fof(f17159,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|complement(one)=join(meet(X0,join(meet(X1,join(complement(one),X0)),complement(one))),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f345,f17158])).
% 147.66/18.99  fof(f17160,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X0,join(meet(X1,join(complement(one),X0)),complement(one))),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f419,f17159])).
% 147.66/18.99  fof(f17161,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X0,join(meet(X1,join(zero,X0)),complement(one))),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f419,f17160])).
% 147.66/18.99  fof(f17162,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X0,join(meet(X1,X0),complement(one))),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f344,f17161])).
% 147.66/18.99  fof(f17163,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X0,join(meet(X1,X0),zero)),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f419,f17162])).
% 147.66/18.99  fof(f17164,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X0,meet(X1,X0)),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f345,f17163])).
% 147.66/18.99  fof(f17165,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X1,X0),complement(one))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f262,f17164])).
% 147.66/18.99  fof(f17166,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=join(meet(X1,X0),zero)|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f419,f17165])).
% 147.66/18.99  fof(f17167,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,X1)=zero|zero=meet(X1,X0)|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f345,f17166])).
% 147.66/18.99  fof(f17265,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,join(zero,complement(X0)))=zero|complement(X0)=join(meet(X1,join(meet(complement(X1),join(complement(X0),X1)),complement(X0))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f24,f14654])).
% 147.66/18.99  fof(f17266,plain,(
% 147.66/18.99    ![X0,X1]: (~meet(X0,complement(X0))=zero|complement(X0)=join(meet(X1,join(meet(complement(X1),join(complement(X0),X1)),complement(X0))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f344,f17265])).
% 147.66/18.99  fof(f17267,plain,(
% 147.66/18.99    ![X0,X1]: (~zero=zero|complement(X0)=join(meet(X1,join(meet(complement(X1),join(complement(X0),X1)),complement(X0))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f24,f17266])).
% 147.66/18.99  fof(f17268,plain,(
% 147.66/18.99    ![X0,X1]: (~zero=zero|complement(X0)=join(meet(X1,join(meet(join(complement(X0),X1),complement(X1)),complement(X0))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f19,f17267])).
% 147.66/18.99  fof(f17269,plain,(
% 147.66/18.99    ![X0,X1]: (complement(X0)=join(meet(X1,join(meet(join(complement(X0),X1),complement(X1)),complement(X0))),complement(X0))|~spl0_16)),
% 147.66/18.99    inference(trivial_equality_resolution,[status(esa)],[f17268])).
% 147.66/18.99  fof(f17348,plain,(
% 147.66/18.99    ![X0]: (zero=meet(complement(X0),X0)|~spl0_16)),
% 147.66/18.99    inference(resolution,[status(thm)],[f17167,f24])).
% 147.66/18.99  fof(f17445,plain,(
% 147.66/18.99    ![X0]: (~join(complement(X0),X0)=one|complement(complement(X0))=X0|~spl0_16)),
% 147.66/18.99    inference(resolution,[status(thm)],[f17348,f25])).
% 147.66/18.99  fof(f17446,plain,(
% 147.66/18.99    ![X0]: (~one=one|complement(complement(X0))=X0|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f2597,f17445])).
% 147.66/18.99  fof(f17447,plain,(
% 147.66/18.99    ![X0]: (complement(complement(X0))=X0|~spl0_16)),
% 147.66/18.99    inference(trivial_equality_resolution,[status(esa)],[f17446])).
% 147.66/18.99  fof(f17738,plain,(
% 147.66/18.99    ![X0,X1]: (one=join(complement(X0),join(X0,X1))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f17447,f13883])).
% 147.66/18.99  fof(f17739,plain,(
% 147.66/18.99    ![X0,X1]: (one=join(join(X0,X1),complement(X1))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f6952,f17738])).
% 147.66/18.99  fof(f19715,plain,(
% 147.66/18.99    ![X0,X1]: (one=join(X0,join(X1,complement(X0)))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f42,f17739])).
% 147.66/18.99  fof(f19769,plain,(
% 147.66/18.99    ![X0,X1]: (one=join(X0,complement(meet(X0,X1)))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f18,f17739])).
% 147.66/18.99  fof(f26354,plain,(
% 147.66/18.99    ![X0,X1]: (meet(one,join(complement(meet(X0,X1)),X0))=join(X0,complement(meet(X0,X1)))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f19769,f118])).
% 147.66/18.99  fof(f26355,plain,(
% 147.66/18.99    ![X0,X1]: (join(complement(meet(X0,X1)),X0)=join(X0,complement(meet(X0,X1)))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f347,f26354])).
% 147.66/18.99  fof(f26356,plain,(
% 147.66/18.99    ![X0,X1]: (join(complement(meet(X0,X1)),X0)=one|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f19769,f26355])).
% 147.66/18.99  fof(f81112,plain,(
% 147.66/18.99    ![X0,X1]: (complement(meet(X0,X1))=join(meet(X0,join(meet(one,complement(X0)),complement(meet(X0,X1)))),complement(meet(X0,X1)))|~spl0_16)),
% 147.66/18.99    inference(paramodulation,[status(thm)],[f26356,f17269])).
% 147.66/18.99  fof(f81113,plain,(
% 147.66/18.99    ![X0,X1]: (complement(meet(X0,X1))=join(meet(X0,join(complement(X0),complement(meet(X0,X1)))),complement(meet(X0,X1)))|~spl0_16)),
% 147.66/18.99    inference(forward_demodulation,[status(thm)],[f347,f81112])).
% 147.66/18.99  fof(f85897,plain,(
% 147.66/18.99    ![X0,X1]: (meet(X0,join(complement(X0),complement(meet(X0,X1))))=meet(X0,meet(join(complement(X0),complement(meet(X0,X1))),complement(meet(X0,X1))))|~spl0_16)),
% 148.84/19.13    inference(paramodulation,[status(thm)],[f81113,f290])).
% 148.84/19.13  fof(f85898,plain,(
% 148.84/19.13    ![X0,X1]: (meet(X0,join(complement(X0),complement(meet(X0,X1))))=meet(X0,complement(meet(X0,X1)))|~spl0_16)),
% 148.84/19.13    inference(forward_demodulation,[status(thm)],[f1207,f85897])).
% 148.84/19.13  fof(f86350,plain,(
% 148.84/19.13    ![X0,X1]: (meet(join(X0,X1),join(complement(join(X0,X1)),complement(X0)))=meet(join(X0,X1),complement(meet(join(X0,X1),X0)))|~spl0_16)),
% 148.84/19.13    inference(paramodulation,[status(thm)],[f1209,f85898])).
% 148.84/19.13  fof(f86351,plain,(
% 148.84/19.13    ![X0,X1]: (meet(join(X0,X1),join(complement(join(X0,X1)),complement(X0)))=meet(join(X0,X1),complement(X0))|~spl0_16)),
% 148.84/19.13    inference(forward_demodulation,[status(thm)],[f1209,f86350])).
% 148.84/19.13  fof(f89495,plain,(
% 148.84/19.13    ![X0,X1]: (meet(meet(join(X0,X1),complement(X0)),X0)=meet(join(complement(join(X0,X1)),complement(X0)),X0)|~spl0_16)),
% 148.84/19.13    inference(paramodulation,[status(thm)],[f86351,f5780])).
% 148.84/19.13  fof(f89496,plain,(
% 148.84/19.13    ![X0,X1]: (meet(complement(X0),X0)=meet(join(complement(join(X0,X1)),complement(X0)),X0)|~spl0_16)),
% 148.84/19.13    inference(forward_demodulation,[status(thm)],[f5780,f89495])).
% 148.84/19.13  fof(f89497,plain,(
% 148.84/19.13    ![X0,X1]: (zero=meet(join(complement(join(X0,X1)),complement(X0)),X0)|~spl0_16)),
% 148.84/19.13    inference(forward_demodulation,[status(thm)],[f17348,f89496])).
% 148.84/19.13  fof(f89838,plain,(
% 148.84/19.13    ![X0,X1]: (~join(X0,join(complement(join(X0,X1)),complement(X0)))=one|complement(X0)=join(complement(join(X0,X1)),complement(X0))|~spl0_16)),
% 148.84/19.13    inference(resolution,[status(thm)],[f89497,f1319])).
% 148.84/19.13  fof(f89839,plain,(
% 148.84/19.13    ![X0,X1]: (~one=one|complement(X0)=join(complement(join(X0,X1)),complement(X0))|~spl0_16)),
% 148.84/19.13    inference(forward_demodulation,[status(thm)],[f19715,f89838])).
% 148.84/19.13  fof(f89840,plain,(
% 148.84/19.13    ![X0,X1]: (complement(X0)=join(complement(join(X0,X1)),complement(X0))|~spl0_16)),
% 148.84/19.13    inference(trivial_equality_resolution,[status(esa)],[f89839])).
% 148.84/19.13  fof(f90959,plain,(
% 148.84/19.13    ![X0,X1]: (complement(X0)=join(complement(join(X1,X0)),complement(X0))|~spl0_16)),
% 148.84/19.13    inference(paramodulation,[status(thm)],[f679,f89840])).
% 148.84/19.13  fof(f93829,plain,(
% 148.84/19.13    complement(a)=join(complement(b),complement(a))|~spl0_16),
% 148.84/19.13    inference(paramodulation,[status(thm)],[f29,f90959])).
% 148.84/19.13  fof(f93830,plain,(
% 148.84/19.13    $false|~spl0_16),
% 148.84/19.13    inference(forward_subsumption_resolution,[status(thm)],[f93829,f28])).
% 148.84/19.13  fof(f93831,plain,(
% 148.84/19.13    ~spl0_16),
% 148.84/19.13    inference(contradiction_clause,[status(thm)],[f93830])).
% 148.84/19.13  fof(f93832,plain,(
% 148.84/19.13    $false),
% 148.84/19.13    inference(sat_refutation,[status(thm)],[f14187,f14648,f93831])).
% 148.84/19.13  % SZS output end CNFRefutation for theBenchmark.p
% 149.35/19.18  % Elapsed time: 18.855909 seconds
% 149.35/19.18  % CPU time: 148.990080 seconds
% 149.35/19.18  % Memory used: 818.672 MB
%------------------------------------------------------------------------------