TSTP Solution File: SWC322-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC322-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Tue Apr 30 20:45:21 EDT 2024
% Result : Unsatisfiable 0.09s 0.34s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC322-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n009.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 30 00:08:11 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.34 fof(f8,axiom,(
% 0.09/0.34 ssList(nil) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f73,axiom,(
% 0.09/0.34 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f74,axiom,(
% 0.09/0.34 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f86,axiom,(
% 0.09/0.34 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f118,axiom,(
% 0.09/0.34 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f150,axiom,(
% 0.09/0.34 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f151,axiom,(
% 0.09/0.34 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f190,negated_conjecture,(
% 0.09/0.34 sk2 = sk4 ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f191,negated_conjecture,(
% 0.09/0.34 sk1 = sk3 ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f192,negated_conjecture,(
% 0.09/0.34 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) = sk3| app(B,cons(A,nil)) != sk4 ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f193,negated_conjecture,(
% 0.09/0.34 ( nil = sk3| nil != sk4 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f194,negated_conjecture,(
% 0.09/0.34 ( ssItem(sk5)| nil = sk2 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f195,negated_conjecture,(
% 0.09/0.34 ( ssItem(sk5)| nil != sk1 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f196,negated_conjecture,(
% 0.09/0.34 ( ssList(sk6)| nil = sk2 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f197,negated_conjecture,(
% 0.09/0.34 ( app(sk6,cons(sk5,nil)) = sk2| nil = sk2 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f198,negated_conjecture,(
% 0.09/0.34 ( app(cons(sk5,nil),sk6) != sk1| nil = sk2 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f199,negated_conjecture,(
% 0.09/0.34 ( ssList(sk6)| nil != sk1 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f200,negated_conjecture,(
% 0.09/0.34 ( app(sk6,cons(sk5,nil)) = sk2| nil != sk1 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f201,negated_conjecture,(
% 0.09/0.34 ( app(cons(sk5,nil),sk6) != sk1| nil != sk1 ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f209,plain,(
% 0.09/0.34 ssList(nil)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.34 fof(f275,plain,(
% 0.09/0.34 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f73])).
% 0.09/0.34 fof(f276,plain,(
% 0.09/0.34 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f74])).
% 0.09/0.34 fof(f288,plain,(
% 0.09/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f86])).
% 0.09/0.34 fof(f328,plain,(
% 0.09/0.34 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f118])).
% 0.09/0.34 fof(f329,plain,(
% 0.09/0.34 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f328])).
% 0.09/0.34 fof(f371,plain,(
% 0.09/0.34 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f150])).
% 0.09/0.34 fof(f372,plain,(
% 0.09/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f371])).
% 0.09/0.34 fof(f373,plain,(
% 0.09/0.34 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f151])).
% 0.09/0.34 fof(f374,plain,(
% 0.09/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f373])).
% 0.09/0.34 fof(f436,plain,(
% 0.09/0.34 sk2=sk4),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f190])).
% 0.09/0.34 fof(f437,plain,(
% 0.09/0.34 sk1=sk3),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f191])).
% 0.09/0.34 fof(f438,plain,(
% 0.09/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=sk3|~app(X1,cons(X0,nil))=sk4)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f192])).
% 0.09/0.34 fof(f439,plain,(
% 0.09/0.34 nil=sk3|~nil=sk4),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f193])).
% 0.09/0.34 fof(f440,plain,(
% 0.09/0.34 ssItem(sk5)|nil=sk2),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f194])).
% 0.09/0.34 fof(f441,plain,(
% 0.09/0.34 ssItem(sk5)|~nil=sk1),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f195])).
% 0.09/0.34 fof(f442,plain,(
% 0.09/0.34 ssList(sk6)|nil=sk2),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f196])).
% 0.09/0.34 fof(f443,plain,(
% 0.09/0.34 app(sk6,cons(sk5,nil))=sk2|nil=sk2),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f197])).
% 0.09/0.34 fof(f444,plain,(
% 0.09/0.34 ~app(cons(sk5,nil),sk6)=sk1|nil=sk2),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f198])).
% 0.09/0.34 fof(f445,plain,(
% 0.09/0.34 ssList(sk6)|~nil=sk1),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f199])).
% 0.09/0.34 fof(f446,plain,(
% 0.09/0.34 app(sk6,cons(sk5,nil))=sk2|~nil=sk1),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f200])).
% 0.09/0.34 fof(f447,plain,(
% 0.09/0.34 ~app(cons(sk5,nil),sk6)=sk1|~nil=sk1),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f201])).
% 0.09/0.34 fof(f455,plain,(
% 0.09/0.34 spl0_2 <=> nil=sk3),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f456,plain,(
% 0.09/0.34 nil=sk3|~spl0_2),
% 0.09/0.34 inference(component_clause,[status(thm)],[f455])).
% 0.09/0.34 fof(f458,plain,(
% 0.09/0.34 spl0_3 <=> nil=sk4),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f460,plain,(
% 0.09/0.34 ~nil=sk4|spl0_3),
% 0.09/0.34 inference(component_clause,[status(thm)],[f458])).
% 0.09/0.34 fof(f461,plain,(
% 0.09/0.34 spl0_2|~spl0_3),
% 0.09/0.34 inference(split_clause,[status(thm)],[f439,f455,f458])).
% 0.09/0.34 fof(f462,plain,(
% 0.09/0.34 spl0_4 <=> ssItem(sk5)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f465,plain,(
% 0.09/0.34 spl0_5 <=> nil=sk2),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f466,plain,(
% 0.09/0.34 nil=sk2|~spl0_5),
% 0.09/0.34 inference(component_clause,[status(thm)],[f465])).
% 0.09/0.34 fof(f468,plain,(
% 0.09/0.34 spl0_4|spl0_5),
% 0.09/0.34 inference(split_clause,[status(thm)],[f440,f462,f465])).
% 0.09/0.34 fof(f469,plain,(
% 0.09/0.34 spl0_6 <=> nil=sk1),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f471,plain,(
% 0.09/0.34 ~nil=sk1|spl0_6),
% 0.09/0.34 inference(component_clause,[status(thm)],[f469])).
% 0.09/0.34 fof(f472,plain,(
% 0.09/0.34 spl0_4|~spl0_6),
% 0.09/0.34 inference(split_clause,[status(thm)],[f441,f462,f469])).
% 0.09/0.34 fof(f473,plain,(
% 0.09/0.34 spl0_7 <=> ssList(sk6)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f476,plain,(
% 0.09/0.34 spl0_7|spl0_5),
% 0.09/0.34 inference(split_clause,[status(thm)],[f442,f473,f465])).
% 0.09/0.34 fof(f477,plain,(
% 0.09/0.34 spl0_8 <=> app(sk6,cons(sk5,nil))=sk2),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f478,plain,(
% 0.09/0.34 app(sk6,cons(sk5,nil))=sk2|~spl0_8),
% 0.09/0.34 inference(component_clause,[status(thm)],[f477])).
% 0.09/0.34 fof(f480,plain,(
% 0.09/0.34 spl0_8|spl0_5),
% 0.09/0.34 inference(split_clause,[status(thm)],[f443,f477,f465])).
% 0.09/0.34 fof(f481,plain,(
% 0.09/0.34 spl0_9 <=> app(cons(sk5,nil),sk6)=sk1),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f484,plain,(
% 0.09/0.34 ~spl0_9|spl0_5),
% 0.09/0.34 inference(split_clause,[status(thm)],[f444,f481,f465])).
% 0.09/0.34 fof(f485,plain,(
% 0.09/0.34 spl0_7|~spl0_6),
% 0.09/0.34 inference(split_clause,[status(thm)],[f445,f473,f469])).
% 0.09/0.34 fof(f486,plain,(
% 0.09/0.34 spl0_8|~spl0_6),
% 0.09/0.34 inference(split_clause,[status(thm)],[f446,f477,f469])).
% 0.09/0.34 fof(f487,plain,(
% 0.09/0.34 ~spl0_9|~spl0_6),
% 0.09/0.34 inference(split_clause,[status(thm)],[f447,f481,f469])).
% 0.09/0.34 fof(f519,plain,(
% 0.09/0.34 spl0_10 <=> ssList(nil)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f521,plain,(
% 0.09/0.34 ~ssList(nil)|spl0_10),
% 0.09/0.34 inference(component_clause,[status(thm)],[f519])).
% 0.09/0.34 fof(f522,plain,(
% 0.09/0.34 spl0_11 <=> nil=nil),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f525,plain,(
% 0.09/0.34 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.09/0.34 inference(resolution,[status(thm)],[f329,f276])).
% 0.09/0.34 fof(f526,plain,(
% 0.09/0.34 ~spl0_10|spl0_11),
% 0.09/0.34 inference(split_clause,[status(thm)],[f525,f519,f522])).
% 0.09/0.34 fof(f529,plain,(
% 0.09/0.34 $false|spl0_10),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f521,f209])).
% 0.09/0.34 fof(f530,plain,(
% 0.09/0.34 spl0_10),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f529])).
% 0.09/0.34 fof(f535,plain,(
% 0.09/0.34 ~nil=sk2|spl0_3),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f436,f460])).
% 0.09/0.34 fof(f536,plain,(
% 0.09/0.34 $false|spl0_3|~spl0_5),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f466,f535])).
% 0.09/0.34 fof(f537,plain,(
% 0.09/0.34 spl0_3|~spl0_5),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f536])).
% 0.09/0.34 fof(f538,plain,(
% 0.09/0.34 nil=sk1|~spl0_2),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f437,f456])).
% 0.09/0.34 fof(f545,plain,(
% 0.09/0.34 spl0_13 <=> ssList(cons(sk5,nil))),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f547,plain,(
% 0.09/0.34 ~ssList(cons(sk5,nil))|spl0_13),
% 0.09/0.34 inference(component_clause,[status(thm)],[f545])).
% 0.09/0.34 fof(f565,plain,(
% 0.09/0.34 ~ssItem(sk5)|~ssList(nil)|spl0_13),
% 0.09/0.34 inference(resolution,[status(thm)],[f547,f288])).
% 0.09/0.34 fof(f566,plain,(
% 0.09/0.34 ~spl0_4|~spl0_10|spl0_13),
% 0.09/0.34 inference(split_clause,[status(thm)],[f565,f462,f519,f545])).
% 0.09/0.34 fof(f567,plain,(
% 0.09/0.34 ~nil=nil|~spl0_2|spl0_6),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f538,f471])).
% 0.09/0.34 fof(f568,plain,(
% 0.09/0.34 $false|~spl0_2|spl0_6),
% 0.09/0.34 inference(trivial_equality_resolution,[status(esa)],[f567])).
% 0.09/0.34 fof(f569,plain,(
% 0.09/0.34 ~spl0_2|spl0_6),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f568])).
% 0.09/0.34 fof(f597,plain,(
% 0.09/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=sk3|~app(X1,cons(X0,nil))=sk2)),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.09/0.34 fof(f600,plain,(
% 0.09/0.34 spl0_18 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f603,plain,(
% 0.09/0.34 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.09/0.34 inference(resolution,[status(thm)],[f372,f276])).
% 0.09/0.34 fof(f604,plain,(
% 0.09/0.34 spl0_18|~spl0_10),
% 0.09/0.34 inference(split_clause,[status(thm)],[f603,f600,f519])).
% 0.09/0.34 fof(f614,plain,(
% 0.09/0.34 spl0_20 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f617,plain,(
% 0.09/0.34 spl0_21 <=> ~ssList(X1)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f620,plain,(
% 0.09/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 0.09/0.34 inference(equality_resolution,[status(esa)],[f372])).
% 0.09/0.34 fof(f621,plain,(
% 0.09/0.34 spl0_20|spl0_21),
% 0.09/0.34 inference(split_clause,[status(thm)],[f620,f614,f617])).
% 0.09/0.34 fof(f623,plain,(
% 0.09/0.34 spl0_22 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f626,plain,(
% 0.09/0.34 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.09/0.34 inference(resolution,[status(thm)],[f374,f275])).
% 0.09/0.34 fof(f627,plain,(
% 0.09/0.34 spl0_22|~spl0_10),
% 0.09/0.34 inference(split_clause,[status(thm)],[f626,f623,f519])).
% 0.09/0.34 fof(f650,plain,(
% 0.09/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=sk1|~app(X1,cons(X0,nil))=sk2)),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f437,f597])).
% 0.09/0.34 fof(f651,plain,(
% 0.09/0.34 ~ssItem(sk5)|~ssList(sk6)|app(cons(sk5,nil),sk6)=sk1|~spl0_8),
% 0.09/0.34 inference(resolution,[status(thm)],[f650,f478])).
% 0.09/0.34 fof(f652,plain,(
% 0.09/0.34 ~spl0_4|~spl0_7|spl0_9|~spl0_8),
% 0.09/0.34 inference(split_clause,[status(thm)],[f651,f462,f473,f481,f477])).
% 0.09/0.34 fof(f658,plain,(
% 0.09/0.34 $false),
% 0.09/0.34 inference(sat_refutation,[status(thm)],[f461,f468,f472,f476,f480,f484,f485,f486,f487,f526,f530,f537,f566,f569,f604,f621,f627,f652])).
% 0.09/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.35 % Elapsed time: 0.026071 seconds
% 0.09/0.35 % CPU time: 0.034312 seconds
% 0.09/0.35 % Total memory used: 14.496 MB
% 0.09/0.35 % Net memory used: 14.469 MB
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