TSTP Solution File: LAT257-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT257-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:17:09 EDT 2023
% Result : Unsatisfiable 111.88s 14.48s
% Output : CNFRefutation 112.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT257-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:32:25 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 111.88/14.48 % Refutation found
% 111.88/14.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 111.88/14.48 % SZS output start CNFRefutation for theBenchmark
% 111.88/14.48 fof(f2,axiom,(
% 111.88/14.48 (![X]: (join(X,X) = X ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f3,axiom,(
% 111.88/14.48 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f4,axiom,(
% 111.88/14.48 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f5,axiom,(
% 111.88/14.48 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f6,axiom,(
% 111.88/14.48 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f7,axiom,(
% 111.88/14.48 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f8,axiom,(
% 111.88/14.48 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f9,axiom,(
% 111.88/14.48 (![X]: (join(X,complement(X)) = one ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f10,axiom,(
% 111.88/14.48 (![X]: (meet(X,complement(X)) = zero ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f11,axiom,(
% 111.88/14.48 (![X,Y]: (( meet(X,Y) != zero| join(X,Y) != one| complement(X) = Y ) ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f12,axiom,(
% 111.88/14.48 (![X,Y,Z]: (meet(X,join(meet(Y,join(X,Z)),meet(Z,join(X,Y)))) = join(meet(X,Y),meet(X,Z)) ))),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f13,hypothesis,(
% 111.88/14.48 meet(b,a) = a ),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f14,negated_conjecture,(
% 111.88/14.48 join(complement(b),complement(a)) != complement(a) ),
% 111.88/14.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.88/14.48 fof(f16,plain,(
% 111.88/14.48 ![X0]: (join(X0,X0)=X0)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f2])).
% 111.88/14.48 fof(f17,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f3])).
% 111.88/14.48 fof(f18,plain,(
% 111.88/14.48 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f4])).
% 111.88/14.48 fof(f19,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f5])).
% 111.88/14.48 fof(f20,plain,(
% 111.88/14.48 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f6])).
% 111.88/14.48 fof(f21,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f7])).
% 111.88/14.48 fof(f22,plain,(
% 111.88/14.48 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f8])).
% 111.88/14.48 fof(f23,plain,(
% 111.88/14.48 ![X0]: (join(X0,complement(X0))=one)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f9])).
% 111.88/14.48 fof(f24,plain,(
% 111.88/14.48 ![X0]: (meet(X0,complement(X0))=zero)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f10])).
% 111.88/14.48 fof(f25,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(X0,X1)=zero|~join(X0,X1)=one|complement(X0)=X1)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f11])).
% 111.88/14.48 fof(f26,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,join(meet(X1,join(X0,X2)),meet(X2,join(X0,X1))))=join(meet(X0,X1),meet(X0,X2)))),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f12])).
% 111.88/14.48 fof(f27,plain,(
% 111.88/14.48 meet(b,a)=a),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f13])).
% 111.88/14.48 fof(f28,plain,(
% 111.88/14.48 ~join(complement(b),complement(a))=complement(a)),
% 111.88/14.48 inference(cnf_transformation,[status(esa)],[f14])).
% 111.88/14.48 fof(f29,plain,(
% 111.88/14.48 join(b,a)=b),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f27,f18])).
% 111.88/14.48 fof(f31,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f20,f17])).
% 111.88/14.48 fof(f44,plain,(
% 111.88/14.48 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f16,f22])).
% 111.88/14.48 fof(f54,plain,(
% 111.88/14.48 ![X0,X1]: (join(X0,X1)=join(X0,join(X1,X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f20,f44])).
% 111.88/14.48 fof(f62,plain,(
% 111.88/14.48 ![X0,X1]: (join(join(X0,X1),X0)=join(join(X0,X1),join(X0,X1)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f44,f54])).
% 111.88/14.48 fof(f63,plain,(
% 111.88/14.48 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f16,f62])).
% 111.88/14.48 fof(f83,plain,(
% 111.88/14.48 ![X0,X1]: (join(join(X0,X1),X1)=join(X1,X0))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f20,f63])).
% 111.88/14.48 fof(f105,plain,(
% 111.88/14.48 ![X0,X1]: (join(X0,meet(X0,X1))=join(meet(X0,X1),X0))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f18,f83])).
% 111.88/14.48 fof(f106,plain,(
% 111.88/14.48 ![X0,X1]: (X0=join(meet(X0,X1),X0))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f18,f105])).
% 111.88/14.48 fof(f118,plain,(
% 111.88/14.48 ![X0,X1]: (meet(join(X0,X1),join(X1,X0))=join(X0,X1))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f83,f17])).
% 111.88/14.48 fof(f134,plain,(
% 111.88/14.48 ![X0,X1]: (meet(meet(X0,X1),X0)=meet(X0,X1))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f106,f17])).
% 111.88/14.48 fof(f302,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f19,f21])).
% 111.88/14.48 fof(f334,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(meet(X1,one),meet(complement(X0),join(X0,X1))))=join(meet(X0,X1),meet(X0,complement(X0))))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f26])).
% 111.88/14.48 fof(f335,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(meet(X1,one),meet(join(X0,X1),complement(X0))))=join(meet(X0,X1),meet(X0,complement(X0))))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f19,f334])).
% 111.88/14.48 fof(f336,plain,(
% 111.88/14.48 ![X0]: (join(one,complement(X0))=join(complement(X0),X0))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f83])).
% 111.88/14.48 fof(f337,plain,(
% 111.88/14.48 ![X0]: (join(complement(X0),one)=join(complement(X0),X0))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f20,f336])).
% 111.88/14.48 fof(f338,plain,(
% 111.88/14.48 ![X0]: (join(one,X0)=join(X0,complement(X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f63])).
% 111.88/14.48 fof(f339,plain,(
% 111.88/14.48 ![X0]: (join(one,X0)=one)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f23,f338])).
% 111.88/14.48 fof(f341,plain,(
% 111.88/14.48 ![X0]: (join(X0,complement(X0))=join(X0,one))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f44])).
% 111.88/14.48 fof(f342,plain,(
% 111.88/14.48 ![X0]: (one=join(X0,one))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f23,f341])).
% 111.88/14.48 fof(f343,plain,(
% 111.88/14.48 ![X0,X1]: (join(one,X0)=join(X1,join(complement(X1),X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f22])).
% 111.88/14.48 fof(f344,plain,(
% 111.88/14.48 ![X0]: (meet(X0,one)=X0)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f17])).
% 111.88/14.48 fof(f347,plain,(
% 111.88/14.48 ![X0,X1]: (meet(zero,X0)=meet(X1,meet(complement(X1),X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f24,f21])).
% 111.88/14.48 fof(f351,plain,(
% 111.88/14.48 ![X0]: (meet(zero,X0)=meet(X0,complement(X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f24,f134])).
% 111.88/14.48 fof(f352,plain,(
% 111.88/14.48 ![X0]: (meet(zero,X0)=zero)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f24,f351])).
% 111.88/14.48 fof(f356,plain,(
% 111.88/14.48 ![X0]: (X0=join(zero,X0))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f24,f106])).
% 111.88/14.48 fof(f357,plain,(
% 111.88/14.48 ![X0]: (join(X0,zero)=X0)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f24,f18])).
% 111.88/14.48 fof(f359,plain,(
% 111.88/14.48 ![X0]: (meet(one,X0)=X0)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f19,f344])).
% 111.88/14.48 fof(f371,plain,(
% 111.88/14.48 complement(zero)=one),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f23,f356])).
% 111.88/14.48 fof(f480,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(join(X2,X0),X1)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f31,f21])).
% 111.88/14.48 fof(f1278,plain,(
% 111.88/14.48 spl0_6 <=> zero=zero),
% 111.88/14.48 introduced(split_symbol_definition)).
% 111.88/14.48 fof(f1280,plain,(
% 111.88/14.48 ~zero=zero|spl0_6),
% 111.88/14.48 inference(component_clause,[status(thm)],[f1278])).
% 111.88/14.48 fof(f1333,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(X0,X1)=zero|~join(X1,X0)=one|complement(X1)=X0)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f19,f25])).
% 111.88/14.48 fof(f1346,plain,(
% 111.88/14.48 $false|spl0_6),
% 111.88/14.48 inference(trivial_equality_resolution,[status(esa)],[f1280])).
% 111.88/14.48 fof(f1347,plain,(
% 111.88/14.48 spl0_6),
% 111.88/14.48 inference(contradiction_clause,[status(thm)],[f1346])).
% 111.88/14.48 fof(f3156,plain,(
% 111.88/14.48 ![X0]: (one=join(complement(X0),X0))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f342,f337])).
% 111.88/14.48 fof(f6183,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X2,meet(X1,X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f19,f302])).
% 111.88/14.48 fof(f6251,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(join(X0,X1),meet(X2,X1))=meet(X2,X1))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f31,f302])).
% 111.88/14.48 fof(f6252,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(meet(join(X0,X1),X2),X1)=meet(X2,X1))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f21,f6251])).
% 111.88/14.48 fof(f6253,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(join(X0,X1),meet(X2,X0))=meet(X2,X0))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f17,f302])).
% 111.88/14.48 fof(f6254,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(meet(join(X0,X1),X2),X0)=meet(X2,X0))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f21,f6253])).
% 111.88/14.48 fof(f12358,plain,(
% 111.88/14.48 ![X0,X1,X2,X3]: (meet(X0,meet(X1,X2))=meet(meet(join(X3,X1),X2),meet(X1,X0)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f480,f6183])).
% 111.88/14.48 fof(f12359,plain,(
% 111.88/14.48 ![X0,X1,X2,X3]: (meet(X0,meet(X1,X2))=meet(meet(meet(join(X3,X1),X2),X1),X0))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f21,f12358])).
% 111.88/14.48 fof(f12360,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(meet(X2,X1),X0))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f6252,f12359])).
% 111.88/14.48 fof(f15493,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(meet(X0,X2),X1))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f302,f12360])).
% 111.88/14.48 fof(f15600,plain,(
% 111.88/14.48 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X2,X1)))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f19,f12360])).
% 111.88/14.48 fof(f20483,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(X1,meet(join(X0,X1),complement(X0))))=join(meet(X0,X1),meet(X0,complement(X0))))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f344,f335])).
% 111.88/14.48 fof(f20484,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(X1,meet(join(X0,X1),complement(X0))))=join(meet(X0,X1),zero))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f24,f20483])).
% 111.88/14.48 fof(f20485,plain,(
% 111.88/14.48 ![X0,X1]: (meet(X0,join(X1,meet(join(X0,X1),complement(X0))))=meet(X0,X1))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f357,f20484])).
% 111.88/14.48 fof(f20875,plain,(
% 111.88/14.48 ![X0,X1]: (one=join(X0,join(complement(X0),X1)))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f339,f343])).
% 111.88/14.48 fof(f21203,plain,(
% 111.88/14.48 spl0_14 <=> one=one),
% 111.88/14.48 introduced(split_symbol_definition)).
% 111.88/14.48 fof(f21205,plain,(
% 111.88/14.48 ~one=one|spl0_14),
% 111.88/14.48 inference(component_clause,[status(thm)],[f21203])).
% 111.88/14.48 fof(f21982,plain,(
% 111.88/14.48 $false|spl0_14),
% 111.88/14.48 inference(trivial_equality_resolution,[status(esa)],[f21205])).
% 111.88/14.48 fof(f21983,plain,(
% 111.88/14.48 spl0_14),
% 111.88/14.48 inference(contradiction_clause,[status(thm)],[f21982])).
% 111.88/14.48 fof(f28976,plain,(
% 111.88/14.48 ![X0,X1]: (zero=meet(X0,meet(complement(X0),X1)))),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f352,f347])).
% 111.88/14.48 fof(f29270,plain,(
% 111.88/14.48 spl0_16 <=> ~join(X0,meet(complement(X0),X1))=one|complement(X0)=meet(complement(X0),X1)),
% 111.88/14.48 introduced(split_symbol_definition)).
% 111.88/14.48 fof(f29271,plain,(
% 111.88/14.48 ![X0,X1]: (~join(X0,meet(complement(X0),X1))=one|complement(X0)=meet(complement(X0),X1)|~spl0_16)),
% 111.88/14.48 inference(component_clause,[status(thm)],[f29270])).
% 111.88/14.48 fof(f29273,plain,(
% 111.88/14.48 ![X0,X1]: (~zero=zero|~join(X0,meet(complement(X0),X1))=one|complement(X0)=meet(complement(X0),X1))),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f28976,f25])).
% 111.88/14.48 fof(f29274,plain,(
% 111.88/14.48 ~spl0_6|spl0_16),
% 111.88/14.48 inference(split_clause,[status(thm)],[f29273,f1278,f29270])).
% 111.88/14.48 fof(f29346,plain,(
% 111.88/14.48 ![X0,X1,X2]: (~join(X0,meet(complement(X0),meet(X1,X2)))=one|complement(X0)=meet(complement(X0),meet(X2,X1))|~spl0_16)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f15600,f29271])).
% 111.88/14.48 fof(f29347,plain,(
% 111.88/14.48 ![X0,X1,X2]: (~join(X0,meet(meet(complement(X0),X1),X2))=one|complement(X0)=meet(complement(X0),meet(X1,X2))|~spl0_16)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f15493,f29346])).
% 111.88/14.48 fof(f29348,plain,(
% 111.88/14.48 ![X0,X1,X2]: (~join(X0,meet(meet(complement(X0),X1),X2))=one|complement(X0)=meet(meet(complement(X0),X2),X1)|~spl0_16)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f15493,f29347])).
% 111.88/14.48 fof(f29525,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(meet(complement(zero),X0),X1)=one|complement(zero)=meet(meet(complement(zero),X1),X0)|~spl0_16)),
% 111.88/14.48 inference(paramodulation,[status(thm)],[f356,f29348])).
% 111.88/14.48 fof(f29526,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(meet(one,X0),X1)=one|complement(zero)=meet(meet(complement(zero),X1),X0)|~spl0_16)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f371,f29525])).
% 111.88/14.48 fof(f29527,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(X0,X1)=one|complement(zero)=meet(meet(complement(zero),X1),X0)|~spl0_16)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f359,f29526])).
% 111.88/14.48 fof(f29528,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(X0,X1)=one|one=meet(meet(complement(zero),X1),X0)|~spl0_16)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f371,f29527])).
% 111.88/14.48 fof(f29529,plain,(
% 111.88/14.48 ![X0,X1]: (~meet(X0,X1)=one|one=meet(meet(one,X1),X0)|~spl0_16)),
% 111.88/14.48 inference(forward_demodulation,[status(thm)],[f371,f29528])).
% 111.88/14.49 fof(f29530,plain,(
% 111.88/14.49 ![X0,X1]: (~meet(X0,X1)=one|one=meet(X1,X0)|~spl0_16)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f359,f29529])).
% 111.88/14.49 fof(f30519,plain,(
% 111.88/14.49 ![X0,X1]: (~join(X0,X1)=one|one=meet(join(X1,X0),join(X0,X1))|~spl0_16)),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f118,f29530])).
% 111.88/14.49 fof(f30520,plain,(
% 111.88/14.49 ![X0,X1]: (~join(X0,X1)=one|one=join(X1,X0)|~spl0_16)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f118,f30519])).
% 111.88/14.49 fof(f30644,plain,(
% 111.88/14.49 ![X0,X1]: (one=join(join(complement(X0),X1),X0)|~spl0_16)),
% 111.88/14.49 inference(resolution,[status(thm)],[f30520,f20875])).
% 111.88/14.49 fof(f30974,plain,(
% 111.88/14.49 ![X0,X1]: (meet(join(complement(X0),X1),join(X0,meet(one,complement(join(complement(X0),X1)))))=meet(join(complement(X0),X1),X0)|~spl0_16)),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f30644,f20485])).
% 111.88/14.49 fof(f30975,plain,(
% 111.88/14.49 ![X0,X1]: (meet(join(complement(X0),X1),join(X0,complement(join(complement(X0),X1))))=meet(join(complement(X0),X1),X0)|~spl0_16)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f359,f30974])).
% 111.88/14.49 fof(f31506,plain,(
% 111.88/14.49 ![X0,X1]: (meet(meet(join(complement(X0),X1),X0),complement(X0))=meet(join(X0,complement(join(complement(X0),X1))),complement(X0))|~spl0_16)),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f30975,f6254])).
% 111.88/14.49 fof(f31507,plain,(
% 111.88/14.49 ![X0,X1]: (meet(X0,complement(X0))=meet(join(X0,complement(join(complement(X0),X1))),complement(X0))|~spl0_16)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f6254,f31506])).
% 111.88/14.49 fof(f31508,plain,(
% 111.88/14.49 ![X0,X1]: (zero=meet(join(X0,complement(join(complement(X0),X1))),complement(X0))|~spl0_16)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f24,f31507])).
% 111.88/14.49 fof(f40570,plain,(
% 111.88/14.49 spl0_63 <=> ~join(complement(X0),X0)=one|complement(complement(X0))=X0),
% 111.88/14.49 introduced(split_symbol_definition)).
% 111.88/14.49 fof(f40571,plain,(
% 111.88/14.49 ![X0]: (~join(complement(X0),X0)=one|complement(complement(X0))=X0|~spl0_63)),
% 111.88/14.49 inference(component_clause,[status(thm)],[f40570])).
% 111.88/14.49 fof(f40573,plain,(
% 111.88/14.49 ![X0]: (~zero=zero|~join(complement(X0),X0)=one|complement(complement(X0))=X0)),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f24,f1333])).
% 111.88/14.49 fof(f40574,plain,(
% 111.88/14.49 ~spl0_6|spl0_63),
% 111.88/14.49 inference(split_clause,[status(thm)],[f40573,f1278,f40570])).
% 111.88/14.49 fof(f40654,plain,(
% 111.88/14.49 ![X0]: (~one=one|complement(complement(X0))=X0|~spl0_63)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f3156,f40571])).
% 111.88/14.49 fof(f40655,plain,(
% 111.88/14.49 ![X0]: (complement(complement(X0))=X0|~spl0_63)),
% 111.88/14.49 inference(trivial_equality_resolution,[status(esa)],[f40654])).
% 111.88/14.49 fof(f40675,plain,(
% 111.88/14.49 ![X0,X1]: (zero=meet(join(complement(X0),complement(join(complement(complement(X0)),X1))),X0)|~spl0_16|~spl0_63)),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f40655,f31508])).
% 111.88/14.49 fof(f40676,plain,(
% 111.88/14.49 ![X0,X1]: (zero=meet(join(complement(X0),complement(join(X0,X1))),X0)|~spl0_16|~spl0_63)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f40655,f40675])).
% 111.88/14.49 fof(f41211,plain,(
% 111.88/14.49 ![X0,X1]: (~join(X0,join(complement(X0),complement(join(X0,X1))))=one|complement(X0)=join(complement(X0),complement(join(X0,X1)))|~spl0_16|~spl0_63)),
% 111.88/14.49 inference(resolution,[status(thm)],[f40676,f1333])).
% 111.88/14.49 fof(f41212,plain,(
% 111.88/14.49 ![X0,X1]: (~one=one|complement(X0)=join(complement(X0),complement(join(X0,X1)))|~spl0_16|~spl0_63)),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f20875,f41211])).
% 111.88/14.49 fof(f41213,plain,(
% 111.88/14.49 ![X0,X1]: (complement(X0)=join(complement(X0),complement(join(X0,X1)))|~spl0_16|~spl0_63)),
% 111.88/14.49 inference(trivial_equality_resolution,[status(esa)],[f41212])).
% 111.88/14.49 fof(f41863,plain,(
% 111.88/14.49 ![X0,X1]: (complement(X0)=join(complement(X0),complement(join(X1,X0)))|~spl0_16|~spl0_63)),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f20,f41213])).
% 111.88/14.49 fof(f42241,plain,(
% 111.88/14.49 complement(a)=join(complement(a),complement(b))|~spl0_16|~spl0_63),
% 111.88/14.49 inference(paramodulation,[status(thm)],[f29,f41863])).
% 111.88/14.49 fof(f42242,plain,(
% 111.88/14.49 complement(a)=join(complement(b),complement(a))|~spl0_16|~spl0_63),
% 111.88/14.49 inference(forward_demodulation,[status(thm)],[f20,f42241])).
% 111.88/14.49 fof(f42243,plain,(
% 111.88/14.49 $false|~spl0_16|~spl0_63),
% 111.88/14.49 inference(forward_subsumption_resolution,[status(thm)],[f42242,f28])).
% 111.88/14.49 fof(f42244,plain,(
% 111.88/14.49 ~spl0_16|~spl0_63),
% 112.66/14.58 inference(contradiction_clause,[status(thm)],[f42243])).
% 112.66/14.58 fof(f42245,plain,(
% 112.66/14.58 $false),
% 112.66/14.58 inference(sat_refutation,[status(thm)],[f1347,f21983,f29274,f40574,f42244])).
% 112.66/14.58 % SZS output end CNFRefutation for theBenchmark.p
% 113.16/14.68 % Elapsed time: 14.339364 seconds
% 113.16/14.68 % CPU time: 112.849248 seconds
% 113.16/14.68 % Memory used: 550.134 MB
%------------------------------------------------------------------------------