TSTP Solution File: SWC166-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC166-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:44:46 EDT 2024
% Result : Unsatisfiable 102.21s 13.30s
% Output : CNFRefutation 103.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC166-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:02:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 102.21/13.30 % Refutation found
% 102.21/13.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.21/13.30 % SZS output start CNFRefutation for theBenchmark
% 102.21/13.30 fof(f1,axiom,(
% 102.21/13.30 equalelemsP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f2,axiom,(
% 102.21/13.30 duplicatefreeP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f3,axiom,(
% 102.21/13.30 strictorderedP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f4,axiom,(
% 102.21/13.30 totalorderedP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f5,axiom,(
% 102.21/13.30 strictorderP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f6,axiom,(
% 102.21/13.30 totalorderP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f7,axiom,(
% 102.21/13.30 cyclefreeP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f8,axiom,(
% 102.21/13.30 ssList(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f11,axiom,(
% 102.21/13.30 ~ singletonP(nil) ),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f12,axiom,(
% 102.21/13.30 (![U]: (ssItem(skaf83(U)) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f13,axiom,(
% 102.21/13.30 (![U]: (ssList(skaf82(U)) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f15,axiom,(
% 102.21/13.30 (![U]: (ssList(skaf80(U)) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f47,axiom,(
% 102.21/13.30 (![U]: (ssItem(skaf44(U)) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f50,axiom,(
% 102.21/13.30 (![U,V]: (ssList(skaf46(U,V)) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f51,axiom,(
% 102.21/13.30 (![U,V]: (ssList(skaf45(U,V)) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f58,axiom,(
% 102.21/13.30 (![U]: (( ~ ssList(U)| rearsegP(U,nil) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f71,axiom,(
% 102.21/13.30 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f72,axiom,(
% 102.21/13.30 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f73,axiom,(
% 102.21/13.30 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f74,axiom,(
% 102.21/13.30 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f75,axiom,(
% 102.21/13.30 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f81,axiom,(
% 102.21/13.30 (![U]: (( nil != U| ~ ssList(U)| rearsegP(nil,U) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f82,axiom,(
% 102.21/13.30 (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f85,axiom,(
% 102.21/13.30 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f86,axiom,(
% 102.21/13.30 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f96,axiom,(
% 102.21/13.30 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| tl(cons(U,V)) = V ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f97,axiom,(
% 102.21/13.30 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| hd(cons(U,V)) = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f98,axiom,(
% 102.21/13.30 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f101,axiom,(
% 102.21/13.30 (![U]: (( ~ singletonP(U)| ~ ssList(U)| cons(skaf44(U),nil) = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f102,axiom,(
% 102.21/13.30 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f104,axiom,(
% 102.21/13.30 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f109,axiom,(
% 102.21/13.30 (![U]: (( ~ ssList(U)| cons(skaf83(U),skaf82(U)) = U| nil = U ) ))),
% 102.21/13.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.30 fof(f119,axiom,(
% 102.21/13.31 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f128,axiom,(
% 102.21/13.31 (![U,V]: (( ~ rearsegP(U,V)| ~ rearsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f133,axiom,(
% 102.21/13.31 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| nil = V| tl(app(V,U)) = app(tl(V),U) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f138,axiom,(
% 102.21/13.31 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f140,axiom,(
% 102.21/13.31 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f141,axiom,(
% 102.21/13.31 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f143,axiom,(
% 102.21/13.31 (![U,V,W]: (( app(U,V) != W| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| rearsegP(W,V) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f151,axiom,(
% 102.21/13.31 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f153,axiom,(
% 102.21/13.31 (![U,V,W]: (( ~ rearsegP(U,V)| ~ rearsegP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| rearsegP(U,W) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f161,axiom,(
% 102.21/13.31 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f170,axiom,(
% 102.21/13.31 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f171,axiom,(
% 102.21/13.31 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f179,axiom,(
% 102.21/13.31 (![U,V,W,X,Y]: (( app(app(U,cons(V,W)),cons(V,X)) != Y| ~ ssList(X)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ duplicatefreeP(Y)| ~ ssList(Y) ) ))),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f186,negated_conjecture,(
% 102.21/13.31 ssList(sk1) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f191,negated_conjecture,(
% 102.21/13.31 sk1 = sk3 ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f192,negated_conjecture,(
% 102.21/13.31 singletonP(sk3) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f193,negated_conjecture,(
% 102.21/13.31 ssItem(sk5) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f194,negated_conjecture,(
% 102.21/13.31 ssItem(sk6) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f195,negated_conjecture,(
% 102.21/13.31 ssList(sk7) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f196,negated_conjecture,(
% 102.21/13.31 ssList(sk8) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f197,negated_conjecture,(
% 102.21/13.31 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f198,negated_conjecture,(
% 102.21/13.31 ~ neq(sk5,sk6) ),
% 102.21/13.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.21/13.31 fof(f199,plain,(
% 102.21/13.31 equalelemsP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f1])).
% 102.21/13.31 fof(f200,plain,(
% 102.21/13.31 duplicatefreeP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f2])).
% 102.21/13.31 fof(f201,plain,(
% 102.21/13.31 strictorderedP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f3])).
% 102.21/13.31 fof(f202,plain,(
% 102.21/13.31 totalorderedP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f4])).
% 102.21/13.31 fof(f203,plain,(
% 102.21/13.31 strictorderP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f5])).
% 102.21/13.31 fof(f204,plain,(
% 102.21/13.31 totalorderP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f6])).
% 102.21/13.31 fof(f205,plain,(
% 102.21/13.31 cyclefreeP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f7])).
% 102.21/13.31 fof(f206,plain,(
% 102.21/13.31 ssList(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f8])).
% 102.21/13.31 fof(f209,plain,(
% 102.21/13.31 ~singletonP(nil)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f11])).
% 102.21/13.31 fof(f210,plain,(
% 102.21/13.31 ![X0]: (ssItem(skaf83(X0)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f12])).
% 102.21/13.31 fof(f211,plain,(
% 102.21/13.31 ![X0]: (ssList(skaf82(X0)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f13])).
% 102.21/13.31 fof(f213,plain,(
% 102.21/13.31 ![X0]: (ssList(skaf80(X0)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f15])).
% 102.21/13.31 fof(f245,plain,(
% 102.21/13.31 ![X0]: (ssItem(skaf44(X0)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f47])).
% 102.21/13.31 fof(f248,plain,(
% 102.21/13.31 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f50])).
% 102.21/13.31 fof(f249,plain,(
% 102.21/13.31 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f51])).
% 102.21/13.31 fof(f256,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f58])).
% 102.21/13.31 fof(f269,plain,(
% 102.21/13.31 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f71])).
% 102.21/13.31 fof(f270,plain,(
% 102.21/13.31 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f72])).
% 102.21/13.31 fof(f271,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f270])).
% 102.21/13.31 fof(f272,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f73])).
% 102.21/13.31 fof(f273,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f74])).
% 102.21/13.31 fof(f274,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f75])).
% 102.21/13.31 fof(f280,plain,(
% 102.21/13.31 ![X0]: (~nil=X0|~ssList(X0)|rearsegP(nil,X0))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f81])).
% 102.21/13.31 fof(f281,plain,(
% 102.21/13.31 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f82])).
% 102.21/13.31 fof(f284,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f85])).
% 102.21/13.31 fof(f285,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f86])).
% 102.21/13.31 fof(f295,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|tl(cons(X0,X1))=X1)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f96])).
% 102.21/13.31 fof(f296,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|hd(cons(X0,X1))=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f97])).
% 102.21/13.31 fof(f297,plain,(
% 102.21/13.31 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f98])).
% 102.21/13.31 fof(f298,plain,(
% 102.21/13.31 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f297])).
% 102.21/13.31 fof(f302,plain,(
% 102.21/13.31 ![X0]: (~singletonP(X0)|~ssList(X0)|cons(skaf44(X0),nil)=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f101])).
% 102.21/13.31 fof(f303,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f102])).
% 102.21/13.31 fof(f305,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f104])).
% 102.21/13.31 fof(f310,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|cons(skaf83(X0),skaf82(X0))=X0|nil=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f109])).
% 102.21/13.31 fof(f327,plain,(
% 102.21/13.31 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f119])).
% 102.21/13.31 fof(f328,plain,(
% 102.21/13.31 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f327])).
% 102.21/13.31 fof(f339,plain,(
% 102.21/13.31 ![X0,X1]: (~rearsegP(X0,X1)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f128])).
% 102.21/13.31 fof(f344,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X1|tl(app(X1,X0))=app(tl(X1),X0))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f133])).
% 102.21/13.31 fof(f351,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f138])).
% 102.21/13.31 fof(f353,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f140])).
% 102.21/13.31 fof(f354,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f141])).
% 102.21/13.31 fof(f356,plain,(
% 102.21/13.31 ![V,W]: ((((![U]: (~app(U,V)=W|~ssList(U)))|~ssList(V))|~ssList(W))|rearsegP(W,V))),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f143])).
% 102.21/13.31 fof(f357,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X0)|~ssList(X1)|~ssList(X2)|rearsegP(X2,X1))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f356])).
% 102.21/13.31 fof(f370,plain,(
% 102.21/13.31 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f151])).
% 102.21/13.31 fof(f371,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f370])).
% 102.21/13.31 fof(f374,plain,(
% 102.21/13.31 ![U,W]: (((![V]: (((~rearsegP(U,V)|~rearsegP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|rearsegP(U,W))),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f153])).
% 102.21/13.31 fof(f375,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~rearsegP(X0,X1)|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|rearsegP(X0,X2))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f374])).
% 102.21/13.31 fof(f389,plain,(
% 102.21/13.31 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f161])).
% 102.21/13.31 fof(f390,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f389])).
% 102.21/13.31 fof(f399,plain,(
% 102.21/13.31 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f170])).
% 102.21/13.31 fof(f400,plain,(
% 102.21/13.31 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f399])).
% 102.21/13.31 fof(f401,plain,(
% 102.21/13.31 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f171])).
% 102.21/13.31 fof(f402,plain,(
% 102.21/13.31 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f401])).
% 102.21/13.31 fof(f415,plain,(
% 102.21/13.31 ![Y]: (((![V]: ((![U]: ((![W]: ((![X]: (~app(app(U,cons(V,W)),cons(V,X))=Y|~ssList(X)))|~ssList(W)))|~ssList(U)))|~ssItem(V)))|~duplicatefreeP(Y))|~ssList(Y))),
% 102.21/13.31 inference(miniscoping,[status(esa)],[f179])).
% 102.21/13.31 fof(f416,plain,(
% 102.21/13.31 ![X0,X1,X2,X3,X4]: (~app(app(X0,cons(X1,X2)),cons(X1,X3))=X4|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~duplicatefreeP(X4)|~ssList(X4))),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f415])).
% 102.21/13.31 fof(f429,plain,(
% 102.21/13.31 ssList(sk1)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f186])).
% 102.21/13.31 fof(f434,plain,(
% 102.21/13.31 sk1=sk3),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f191])).
% 102.21/13.31 fof(f435,plain,(
% 102.21/13.31 singletonP(sk3)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f192])).
% 102.21/13.31 fof(f436,plain,(
% 102.21/13.31 ssItem(sk5)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f193])).
% 102.21/13.31 fof(f437,plain,(
% 102.21/13.31 ssItem(sk6)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f194])).
% 102.21/13.31 fof(f438,plain,(
% 102.21/13.31 ssList(sk7)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f195])).
% 102.21/13.31 fof(f439,plain,(
% 102.21/13.31 ssList(sk8)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f196])).
% 102.21/13.31 fof(f440,plain,(
% 102.21/13.31 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk1),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f197])).
% 102.21/13.31 fof(f441,plain,(
% 102.21/13.31 ~neq(sk5,sk6)),
% 102.21/13.31 inference(cnf_transformation,[status(esa)],[f198])).
% 102.21/13.31 fof(f442,plain,(
% 102.21/13.31 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f443,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f442])).
% 102.21/13.31 fof(f445,plain,(
% 102.21/13.31 spl0_1 <=> ssItem(X1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f446,plain,(
% 102.21/13.31 ![X0]: (ssItem(X0)|~spl0_1)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f445])).
% 102.21/13.31 fof(f448,plain,(
% 102.21/13.31 spl0_0|spl0_1),
% 102.21/13.31 inference(split_clause,[status(thm)],[f271,f442,f445])).
% 102.21/13.31 fof(f455,plain,(
% 102.21/13.31 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 102.21/13.31 inference(destructive_equality_resolution,[status(esa)],[f351])).
% 102.21/13.31 fof(f456,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 102.21/13.31 inference(duplicate_literals_removal,[status(esa)],[f455])).
% 102.21/13.31 fof(f460,plain,(
% 102.21/13.31 singletonP(sk1)),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f434,f435])).
% 102.21/13.31 fof(f468,plain,(
% 102.21/13.31 spl0_4 <=> sk5=sk6),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f469,plain,(
% 102.21/13.31 sk5=sk6|~spl0_4),
% 102.21/13.31 inference(component_clause,[status(thm)],[f468])).
% 102.21/13.31 fof(f473,plain,(
% 102.21/13.31 spl0_5 <=> ssItem(sk6)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f475,plain,(
% 102.21/13.31 ~ssItem(sk6)|spl0_5),
% 102.21/13.31 inference(component_clause,[status(thm)],[f473])).
% 102.21/13.31 fof(f476,plain,(
% 102.21/13.31 spl0_6 <=> ssItem(sk5)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f478,plain,(
% 102.21/13.31 ~ssItem(sk5)|spl0_6),
% 102.21/13.31 inference(component_clause,[status(thm)],[f476])).
% 102.21/13.31 fof(f479,plain,(
% 102.21/13.31 ~ssItem(sk6)|~ssItem(sk5)|sk5=sk6),
% 102.21/13.31 inference(resolution,[status(thm)],[f303,f441])).
% 102.21/13.31 fof(f480,plain,(
% 102.21/13.31 ~spl0_5|~spl0_6|spl0_4),
% 102.21/13.31 inference(split_clause,[status(thm)],[f479,f473,f476,f468])).
% 102.21/13.31 fof(f481,plain,(
% 102.21/13.31 $false|spl0_6),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f478,f436])).
% 102.21/13.31 fof(f482,plain,(
% 102.21/13.31 spl0_6),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f481])).
% 102.21/13.31 fof(f483,plain,(
% 102.21/13.31 $false|spl0_5),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f475,f437])).
% 102.21/13.31 fof(f484,plain,(
% 102.21/13.31 spl0_5),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f483])).
% 102.21/13.31 fof(f485,plain,(
% 102.21/13.31 app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8)=sk1|~spl0_4),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f469,f440])).
% 102.21/13.31 fof(f498,plain,(
% 102.21/13.31 spl0_8 <=> nil=app(app(sk7,cons(sk5,nil)),cons(sk5,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f499,plain,(
% 102.21/13.31 nil=app(app(sk7,cons(sk5,nil)),cons(sk5,nil))|~spl0_8),
% 102.21/13.31 inference(component_clause,[status(thm)],[f498])).
% 102.21/13.31 fof(f500,plain,(
% 102.21/13.31 ~nil=app(app(sk7,cons(sk5,nil)),cons(sk5,nil))|spl0_8),
% 102.21/13.31 inference(component_clause,[status(thm)],[f498])).
% 102.21/13.31 fof(f501,plain,(
% 102.21/13.31 spl0_9 <=> nil=sk8),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f502,plain,(
% 102.21/13.31 nil=sk8|~spl0_9),
% 102.21/13.31 inference(component_clause,[status(thm)],[f501])).
% 102.21/13.31 fof(f504,plain,(
% 102.21/13.31 spl0_10 <=> ssList(sk8)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f506,plain,(
% 102.21/13.31 ~ssList(sk8)|spl0_10),
% 102.21/13.31 inference(component_clause,[status(thm)],[f504])).
% 102.21/13.31 fof(f507,plain,(
% 102.21/13.31 spl0_11 <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f508,plain,(
% 102.21/13.31 ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|~spl0_11),
% 102.21/13.31 inference(component_clause,[status(thm)],[f507])).
% 102.21/13.31 fof(f509,plain,(
% 102.21/13.31 ~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|spl0_11),
% 102.21/13.31 inference(component_clause,[status(thm)],[f507])).
% 102.21/13.31 fof(f510,plain,(
% 102.21/13.31 spl0_12 <=> sk1=nil),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f511,plain,(
% 102.21/13.31 sk1=nil|~spl0_12),
% 102.21/13.31 inference(component_clause,[status(thm)],[f510])).
% 102.21/13.31 fof(f515,plain,(
% 102.21/13.31 spl0_13 <=> ssList(cons(sk5,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f517,plain,(
% 102.21/13.31 ~ssList(cons(sk5,nil))|spl0_13),
% 102.21/13.31 inference(component_clause,[status(thm)],[f515])).
% 102.21/13.31 fof(f518,plain,(
% 102.21/13.31 spl0_14 <=> ssList(app(sk7,cons(sk5,nil)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f520,plain,(
% 102.21/13.31 ~ssList(app(sk7,cons(sk5,nil)))|spl0_14),
% 102.21/13.31 inference(component_clause,[status(thm)],[f518])).
% 102.21/13.31 fof(f521,plain,(
% 102.21/13.31 ~ssList(cons(sk5,nil))|~ssList(app(sk7,cons(sk5,nil)))|spl0_11),
% 102.21/13.31 inference(resolution,[status(thm)],[f284,f509])).
% 102.21/13.31 fof(f522,plain,(
% 102.21/13.31 ~spl0_13|~spl0_14|spl0_11),
% 102.21/13.31 inference(split_clause,[status(thm)],[f521,f515,f518,f507])).
% 102.21/13.31 fof(f523,plain,(
% 102.21/13.31 spl0_15 <=> ssList(sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f526,plain,(
% 102.21/13.31 ~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|ssList(sk1)|~spl0_4),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f485,f284])).
% 102.21/13.31 fof(f527,plain,(
% 102.21/13.31 ~spl0_10|~spl0_11|spl0_15|~spl0_4),
% 102.21/13.31 inference(split_clause,[status(thm)],[f526,f504,f507,f523,f468])).
% 102.21/13.31 fof(f529,plain,(
% 102.21/13.31 $false|spl0_10),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f506,f439])).
% 102.21/13.31 fof(f530,plain,(
% 102.21/13.31 spl0_10),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f529])).
% 102.21/13.31 fof(f533,plain,(
% 102.21/13.31 spl0_16 <=> ssList(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f535,plain,(
% 102.21/13.31 ~ssList(nil)|spl0_16),
% 102.21/13.31 inference(component_clause,[status(thm)],[f533])).
% 102.21/13.31 fof(f536,plain,(
% 102.21/13.31 ~ssItem(sk5)|~ssList(nil)|spl0_13),
% 102.21/13.31 inference(resolution,[status(thm)],[f285,f517])).
% 102.21/13.31 fof(f537,plain,(
% 102.21/13.31 ~spl0_6|~spl0_16|spl0_13),
% 102.21/13.31 inference(split_clause,[status(thm)],[f536,f476,f533,f515])).
% 102.21/13.31 fof(f538,plain,(
% 102.21/13.31 $false|spl0_16),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f535,f206])).
% 102.21/13.31 fof(f539,plain,(
% 102.21/13.31 spl0_16),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f538])).
% 102.21/13.31 fof(f540,plain,(
% 102.21/13.31 spl0_17 <=> ssList(sk7)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f542,plain,(
% 102.21/13.31 ~ssList(sk7)|spl0_17),
% 102.21/13.31 inference(component_clause,[status(thm)],[f540])).
% 102.21/13.31 fof(f543,plain,(
% 102.21/13.31 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_14),
% 102.21/13.31 inference(resolution,[status(thm)],[f520,f284])).
% 102.21/13.31 fof(f544,plain,(
% 102.21/13.31 ~spl0_13|~spl0_17|spl0_14),
% 102.21/13.31 inference(split_clause,[status(thm)],[f543,f515,f540,f518])).
% 102.21/13.31 fof(f545,plain,(
% 102.21/13.31 $false|spl0_17),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f542,f438])).
% 102.21/13.31 fof(f546,plain,(
% 102.21/13.31 spl0_17),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f545])).
% 102.21/13.31 fof(f547,plain,(
% 102.21/13.31 spl0_18 <=> nil=nil),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f587,plain,(
% 102.21/13.31 spl0_22 <=> nil=cons(sk5,nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f588,plain,(
% 102.21/13.31 nil=cons(sk5,nil)|~spl0_22),
% 102.21/13.31 inference(component_clause,[status(thm)],[f587])).
% 102.21/13.31 fof(f639,plain,(
% 102.21/13.31 spl0_30 <=> sk1=sk1),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f641,plain,(
% 102.21/13.31 ~sk1=sk1|spl0_30),
% 102.21/13.31 inference(component_clause,[status(thm)],[f639])).
% 102.21/13.31 fof(f651,plain,(
% 102.21/13.31 spl0_32 <=> ~sk1=app(X0,sk8)|~ssList(X0)|app(app(sk7,cons(sk5,nil)),cons(sk5,nil))=X0),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f652,plain,(
% 102.21/13.31 ![X0]: (~sk1=app(X0,sk8)|~ssList(X0)|app(app(sk7,cons(sk5,nil)),cons(sk5,nil))=X0|~spl0_32)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f651])).
% 102.21/13.31 fof(f654,plain,(
% 102.21/13.31 ![X0]: (~sk1=app(X0,sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|~ssList(sk8)|~ssList(X0)|app(app(sk7,cons(sk5,nil)),cons(sk5,nil))=X0|~spl0_4)),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f485,f371])).
% 102.21/13.31 fof(f655,plain,(
% 102.21/13.31 spl0_32|~spl0_11|~spl0_10|~spl0_4),
% 102.21/13.31 inference(split_clause,[status(thm)],[f654,f651,f507,f504,f468])).
% 102.21/13.31 fof(f671,plain,(
% 102.21/13.31 spl0_35 <=> sk1=app(nil,sk8)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f673,plain,(
% 102.21/13.31 ~sk1=app(nil,sk8)|spl0_35),
% 102.21/13.31 inference(component_clause,[status(thm)],[f671])).
% 102.21/13.31 fof(f676,plain,(
% 102.21/13.31 ~sk1=app(nil,sk8)|~ssList(nil)|~ssList(cons(sk5,nil))|~ssList(app(sk7,cons(sk5,nil)))|nil=cons(sk5,nil)|~spl0_32),
% 102.21/13.31 inference(resolution,[status(thm)],[f652,f328])).
% 102.21/13.31 fof(f677,plain,(
% 102.21/13.31 ~spl0_35|~spl0_16|~spl0_13|~spl0_14|spl0_22|~spl0_32),
% 102.21/13.31 inference(split_clause,[status(thm)],[f676,f671,f533,f515,f518,f587,f651])).
% 102.21/13.31 fof(f734,plain,(
% 102.21/13.31 spl0_46 <=> sk1=app(sk1,sk8)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f736,plain,(
% 102.21/13.31 ~sk1=app(sk1,sk8)|spl0_46),
% 102.21/13.31 inference(component_clause,[status(thm)],[f734])).
% 102.21/13.31 fof(f840,plain,(
% 102.21/13.31 singletonP(nil)|~spl0_12),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f511,f460])).
% 102.21/13.31 fof(f841,plain,(
% 102.21/13.31 $false|~spl0_12),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f840,f209])).
% 102.21/13.31 fof(f842,plain,(
% 102.21/13.31 ~spl0_12),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f841])).
% 102.21/13.31 fof(f1134,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X0,X1))|rearsegP(app(X0,X1),X1))),
% 102.21/13.31 inference(equality_resolution,[status(esa)],[f357])).
% 102.21/13.31 fof(f1135,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|rearsegP(app(X0,X1),X1))),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f1134,f284])).
% 102.21/13.31 fof(f1156,plain,(
% 102.21/13.31 $false|spl0_30),
% 102.21/13.31 inference(trivial_equality_resolution,[status(esa)],[f641])).
% 102.21/13.31 fof(f1157,plain,(
% 102.21/13.31 spl0_30),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f1156])).
% 102.21/13.31 fof(f1187,plain,(
% 102.21/13.31 spl0_91 <=> cons(sk5,nil)=sk1),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f1188,plain,(
% 102.21/13.31 cons(sk5,nil)=sk1|~spl0_91),
% 102.21/13.31 inference(component_clause,[status(thm)],[f1187])).
% 102.21/13.31 fof(f1687,plain,(
% 102.21/13.31 app(nil,sk8)=sk1|~spl0_8|~spl0_4),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f499,f485])).
% 102.21/13.31 fof(f1688,plain,(
% 102.21/13.31 $false|spl0_35|~spl0_8|~spl0_4),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f1687,f673])).
% 102.21/13.31 fof(f1689,plain,(
% 102.21/13.31 spl0_35|~spl0_8|~spl0_4),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f1688])).
% 102.21/13.31 fof(f2137,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|X1=skaf82(cons(X0,X1))|~ssList(cons(X0,X1))|nil=cons(X0,X1))),
% 102.21/13.31 inference(resolution,[status(thm)],[f402,f310])).
% 102.21/13.31 fof(f2138,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|X1=skaf82(cons(X0,X1))|~ssList(cons(X0,X1))|nil=cons(X0,X1))),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2137,f210])).
% 102.21/13.31 fof(f2153,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|skaf83(cons(X0,X1))=X0|~ssList(cons(X0,X1))|nil=cons(X0,X1))),
% 102.21/13.31 inference(resolution,[status(thm)],[f400,f310])).
% 102.21/13.31 fof(f2154,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|skaf83(cons(X0,X1))=X0|~ssList(cons(X0,X1))|nil=cons(X0,X1))),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2153,f210])).
% 102.21/13.31 fof(f2189,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|X1=skaf82(cons(X0,X1))|~ssList(cons(X0,X1))|nil=cons(X0,X1))),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2138,f211])).
% 102.21/13.31 fof(f2192,plain,(
% 102.21/13.31 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|skaf83(cons(X0,X1))=X0|~ssList(cons(X0,X1))|nil=cons(X0,X1))),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2154,f211])).
% 102.21/13.31 fof(f2338,plain,(
% 102.21/13.31 spl0_180 <=> ssList(cons(skaf44(app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8)),nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2339,plain,(
% 102.21/13.31 ssList(cons(skaf44(app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8)),nil))|~spl0_180),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2338])).
% 102.21/13.31 fof(f2340,plain,(
% 102.21/13.31 ~ssList(cons(skaf44(app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8)),nil))|spl0_180),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2338])).
% 102.21/13.31 fof(f2352,plain,(
% 102.21/13.31 ~ssList(cons(skaf44(sk1),nil))|~spl0_4|spl0_180),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f485,f2340])).
% 102.21/13.31 fof(f2364,plain,(
% 102.21/13.31 spl0_183 <=> ssItem(skaf44(sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2366,plain,(
% 102.21/13.31 ~ssItem(skaf44(sk1))|spl0_183),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2364])).
% 102.21/13.31 fof(f2367,plain,(
% 102.21/13.31 ~ssItem(skaf44(sk1))|~ssList(nil)|~spl0_4|spl0_180),
% 102.21/13.31 inference(resolution,[status(thm)],[f2352,f285])).
% 102.21/13.31 fof(f2368,plain,(
% 102.21/13.31 ~spl0_183|~spl0_16|~spl0_4|spl0_180),
% 102.21/13.31 inference(split_clause,[status(thm)],[f2367,f2364,f533,f468,f2338])).
% 102.21/13.31 fof(f2369,plain,(
% 102.21/13.31 $false|spl0_183),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2366,f245])).
% 102.21/13.31 fof(f2370,plain,(
% 102.21/13.31 spl0_183),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f2369])).
% 102.21/13.31 fof(f2371,plain,(
% 102.21/13.31 ssList(cons(skaf44(sk1),nil))|~spl0_4|~spl0_180),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f485,f2339])).
% 102.21/13.31 fof(f2844,plain,(
% 102.21/13.31 spl0_248 <=> ~rearsegP(nil,X0)|~ssList(X0)|~sk1=X0),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2845,plain,(
% 102.21/13.31 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|~sk1=X0|~spl0_248)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2844])).
% 102.21/13.31 fof(f2855,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|~sk1=X0|~nil=X0|~ssList(X0)|~spl0_248)),
% 102.21/13.31 inference(resolution,[status(thm)],[f2845,f280])).
% 102.21/13.31 fof(f2856,plain,(
% 102.21/13.31 ![X0]: (~ssList(X0)|~sk1=X0|~nil=X0|~spl0_248)),
% 102.21/13.31 inference(duplicate_literals_removal,[status(esa)],[f2855])).
% 102.21/13.31 fof(f2901,plain,(
% 102.21/13.31 spl0_256 <=> sk1=app(nil,sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2902,plain,(
% 102.21/13.31 sk1=app(nil,sk1)|~spl0_256),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2901])).
% 102.21/13.31 fof(f2903,plain,(
% 102.21/13.31 ~sk1=app(nil,sk1)|spl0_256),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2901])).
% 102.21/13.31 fof(f2909,plain,(
% 102.21/13.31 spl0_258 <=> sk1=app(sk1,nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2910,plain,(
% 102.21/13.31 sk1=app(sk1,nil)|~spl0_258),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2909])).
% 102.21/13.31 fof(f2911,plain,(
% 102.21/13.31 ~sk1=app(sk1,nil)|spl0_258),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2909])).
% 102.21/13.31 fof(f2918,plain,(
% 102.21/13.31 spl0_260 <=> sk1=cons(skaf44(sk1),nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2919,plain,(
% 102.21/13.31 sk1=cons(skaf44(sk1),nil)|~spl0_260),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2918])).
% 102.21/13.31 fof(f2920,plain,(
% 102.21/13.31 ~sk1=cons(skaf44(sk1),nil)|spl0_260),
% 102.21/13.31 inference(component_clause,[status(thm)],[f2918])).
% 102.21/13.31 fof(f2921,plain,(
% 102.21/13.31 spl0_261 <=> nil=cons(skaf44(sk1),nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f2924,plain,(
% 102.21/13.31 ~sk1=cons(skaf44(sk1),nil)|~nil=cons(skaf44(sk1),nil)|~spl0_248|~spl0_4|~spl0_180),
% 102.21/13.31 inference(resolution,[status(thm)],[f2856,f2371])).
% 102.21/13.31 fof(f2925,plain,(
% 102.21/13.31 ~spl0_260|~spl0_261|~spl0_248|~spl0_4|~spl0_180),
% 102.21/13.31 inference(split_clause,[status(thm)],[f2924,f2918,f2921,f2844,f468,f2338])).
% 102.21/13.31 fof(f2975,plain,(
% 102.21/13.31 ~ssList(sk1)|spl0_256),
% 102.21/13.31 inference(resolution,[status(thm)],[f2903,f273])).
% 102.21/13.31 fof(f2976,plain,(
% 102.21/13.31 $false|spl0_256),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2975,f429])).
% 102.21/13.31 fof(f2977,plain,(
% 102.21/13.31 spl0_256),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f2976])).
% 102.21/13.31 fof(f2978,plain,(
% 102.21/13.31 ~ssList(sk1)|spl0_258),
% 102.21/13.31 inference(resolution,[status(thm)],[f2911,f272])).
% 102.21/13.31 fof(f2979,plain,(
% 102.21/13.31 $false|spl0_258),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f2978,f429])).
% 102.21/13.31 fof(f2980,plain,(
% 102.21/13.31 spl0_258),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f2979])).
% 102.21/13.31 fof(f3305,plain,(
% 102.21/13.31 ~nil=nil|~ssItem(sk5)|~ssList(nil)|~spl0_22),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f588,f298])).
% 102.21/13.31 fof(f3306,plain,(
% 102.21/13.31 ~spl0_18|~spl0_6|~spl0_16|~spl0_22),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3305,f547,f476,f533,f587])).
% 102.21/13.31 fof(f3309,plain,(
% 102.21/13.31 spl0_297 <=> strictorderedP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f3311,plain,(
% 102.21/13.31 ~strictorderedP(nil)|spl0_297),
% 102.21/13.31 inference(component_clause,[status(thm)],[f3309])).
% 102.21/13.31 fof(f3341,plain,(
% 102.21/13.31 spl0_302 <=> ~sk1=X0|~ssList(X0)|rearsegP(X0,sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f3342,plain,(
% 102.21/13.31 ![X0]: (~sk1=X0|~ssList(X0)|rearsegP(X0,sk1)|~spl0_302)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f3341])).
% 102.21/13.31 fof(f3344,plain,(
% 102.21/13.31 ![X0]: (~sk1=X0|~ssList(nil)|~ssList(sk1)|~ssList(X0)|rearsegP(X0,sk1)|~spl0_256)),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2902,f357])).
% 102.21/13.31 fof(f3345,plain,(
% 102.21/13.31 spl0_302|~spl0_16|~spl0_15|~spl0_256),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3344,f3341,f533,f523,f2901])).
% 102.21/13.31 fof(f3489,plain,(
% 102.21/13.31 spl0_334 <=> ~app(X0,sk1)=sk1|~ssList(X0)|X0=nil),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f3490,plain,(
% 102.21/13.31 ![X0]: (~app(X0,sk1)=sk1|~ssList(X0)|X0=nil|~spl0_334)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f3489])).
% 102.21/13.31 fof(f3492,plain,(
% 102.21/13.31 ![X0]: (~app(X0,sk1)=sk1|~ssList(X0)|~ssList(sk1)|~ssList(nil)|X0=nil|~spl0_256)),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2902,f371])).
% 102.21/13.31 fof(f3493,plain,(
% 102.21/13.31 spl0_334|~spl0_15|~spl0_16|~spl0_256),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3492,f3489,f523,f533,f2901])).
% 102.21/13.31 fof(f3772,plain,(
% 102.21/13.31 spl0_373 <=> singletonP(sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f3774,plain,(
% 102.21/13.31 ~singletonP(sk1)|spl0_373),
% 102.21/13.31 inference(component_clause,[status(thm)],[f3772])).
% 102.21/13.31 fof(f3775,plain,(
% 102.21/13.31 ~singletonP(sk1)|~ssList(sk1)|spl0_260),
% 102.21/13.31 inference(resolution,[status(thm)],[f2920,f302])).
% 102.21/13.31 fof(f3776,plain,(
% 102.21/13.31 ~spl0_373|~spl0_15|spl0_260),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3775,f3772,f523,f2918])).
% 102.21/13.31 fof(f3777,plain,(
% 102.21/13.31 $false|spl0_373),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f3774,f460])).
% 102.21/13.31 fof(f3778,plain,(
% 102.21/13.31 spl0_373),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f3777])).
% 102.21/13.31 fof(f3781,plain,(
% 102.21/13.31 spl0_374 <=> ~sk1=X0|~ssList(X0)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|rearsegP(X1,sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f3782,plain,(
% 102.21/13.31 ![X0,X1]: (~sk1=X0|~ssList(X0)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|rearsegP(X1,sk1)|~spl0_374)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f3781])).
% 102.21/13.31 fof(f3784,plain,(
% 102.21/13.31 ![X0,X1]: (~sk1=X0|~ssList(X0)|~rearsegP(X1,X0)|~ssList(sk1)|~ssList(X0)|~ssList(X1)|rearsegP(X1,sk1)|~spl0_302)),
% 102.21/13.31 inference(resolution,[status(thm)],[f3342,f375])).
% 102.21/13.31 fof(f3785,plain,(
% 102.21/13.31 spl0_374|~spl0_15|~spl0_302),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3784,f3781,f523,f3341])).
% 102.21/13.31 fof(f3786,plain,(
% 102.21/13.31 ![X0,X1]: (~sk1=X0|~ssList(X0)|~rearsegP(X1,X0)|~ssList(X1)|rearsegP(X1,sk1)|~spl0_374)),
% 102.21/13.31 inference(duplicate_literals_removal,[status(esa)],[f3782])).
% 102.21/13.31 fof(f3811,plain,(
% 102.21/13.31 ~sk1=sk1|~ssList(nil)|nil=nil|~spl0_334|~spl0_256),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2902,f3490])).
% 102.21/13.31 fof(f3812,plain,(
% 102.21/13.31 ~spl0_30|~spl0_16|spl0_18|~spl0_334|~spl0_256),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3811,f639,f533,f547,f3489,f2901])).
% 102.21/13.31 fof(f3825,plain,(
% 102.21/13.31 ![X0]: (~sk1=X0|~ssList(X0)|~rearsegP(nil,X0)|~ssList(nil)|~ssList(sk1)|nil=sk1|~spl0_374)),
% 102.21/13.31 inference(resolution,[status(thm)],[f3786,f281])).
% 102.21/13.31 fof(f3826,plain,(
% 102.21/13.31 spl0_248|~spl0_16|~spl0_15|spl0_12|~spl0_374),
% 102.21/13.31 inference(split_clause,[status(thm)],[f3825,f2844,f533,f523,f510,f3781])).
% 102.21/13.31 fof(f4095,plain,(
% 102.21/13.31 spl0_400 <=> ssList(skaf46(sk1,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f4097,plain,(
% 102.21/13.31 ~ssList(skaf46(sk1,nil))|spl0_400),
% 102.21/13.31 inference(component_clause,[status(thm)],[f4095])).
% 102.21/13.31 fof(f4103,plain,(
% 102.21/13.31 spl0_402 <=> ssList(skaf46(sk1,sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f4105,plain,(
% 102.21/13.31 ~ssList(skaf46(sk1,sk1))|spl0_402),
% 102.21/13.31 inference(component_clause,[status(thm)],[f4103])).
% 102.21/13.31 fof(f4135,plain,(
% 102.21/13.31 $false|spl0_400),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f4097,f248])).
% 102.21/13.31 fof(f4136,plain,(
% 102.21/13.31 spl0_400),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f4135])).
% 102.21/13.31 fof(f4137,plain,(
% 102.21/13.31 $false|spl0_402),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f4105,f248])).
% 102.21/13.31 fof(f4138,plain,(
% 102.21/13.31 spl0_402),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f4137])).
% 102.21/13.31 fof(f4142,plain,(
% 102.21/13.31 spl0_406 <=> ssList(skaf45(sk1,sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f4144,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,sk1))|spl0_406),
% 102.21/13.31 inference(component_clause,[status(thm)],[f4142])).
% 102.21/13.31 fof(f4150,plain,(
% 102.21/13.31 spl0_408 <=> ssList(skaf45(sk1,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f4152,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,nil))|spl0_408),
% 102.21/13.31 inference(component_clause,[status(thm)],[f4150])).
% 102.21/13.31 fof(f4182,plain,(
% 102.21/13.31 $false|spl0_406),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f4144,f249])).
% 102.21/13.31 fof(f4183,plain,(
% 102.21/13.31 spl0_406),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f4182])).
% 102.21/13.31 fof(f4184,plain,(
% 102.21/13.31 $false|spl0_408),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f4152,f249])).
% 102.21/13.31 fof(f4185,plain,(
% 102.21/13.31 spl0_408),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f4184])).
% 102.21/13.31 fof(f4880,plain,(
% 102.21/13.31 spl0_440 <=> ssList(skaf45(sk1,app(app(sk7,cons(sk5,nil)),cons(sk5,nil))))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f4882,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,app(app(sk7,cons(sk5,nil)),cons(sk5,nil))))|spl0_440),
% 102.21/13.31 inference(component_clause,[status(thm)],[f4880])).
% 102.21/13.31 fof(f4890,plain,(
% 102.21/13.31 $false|spl0_440),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f4882,f249])).
% 102.21/13.31 fof(f4891,plain,(
% 102.21/13.31 spl0_440),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f4890])).
% 102.21/13.31 fof(f4987,plain,(
% 102.21/13.31 spl0_451 <=> rearsegP(nil,sk8)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5352,plain,(
% 102.21/13.31 spl0_513 <=> ssList(cons(skaf44(sk1),nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5354,plain,(
% 102.21/13.31 ~ssList(cons(skaf44(sk1),nil))|spl0_513),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5352])).
% 102.21/13.31 fof(f5355,plain,(
% 102.21/13.31 spl0_514 <=> tl(sk1)=nil),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5356,plain,(
% 102.21/13.31 tl(sk1)=nil|~spl0_514),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5355])).
% 102.21/13.31 fof(f5373,plain,(
% 102.21/13.31 spl0_518 <=> skaf82(sk1)=nil),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5374,plain,(
% 102.21/13.31 skaf82(sk1)=nil|~spl0_518),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5373])).
% 102.21/13.31 fof(f5457,plain,(
% 102.21/13.31 spl0_536 <=> totalorderedP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5459,plain,(
% 102.21/13.31 ~totalorderedP(nil)|spl0_536),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5457])).
% 102.21/13.31 fof(f5474,plain,(
% 102.21/13.31 spl0_539 <=> skaf83(sk1)=skaf44(sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5475,plain,(
% 102.21/13.31 skaf83(sk1)=skaf44(sk1)|~spl0_539),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5474])).
% 102.21/13.31 fof(f5477,plain,(
% 102.21/13.31 ~ssItem(skaf44(sk1))|~ssList(nil)|skaf83(sk1)=skaf44(sk1)|~ssList(cons(skaf44(sk1),nil))|nil=cons(skaf44(sk1),nil)|~spl0_260),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2919,f2192])).
% 102.21/13.31 fof(f5478,plain,(
% 102.21/13.31 ~spl0_183|~spl0_16|spl0_539|~spl0_513|spl0_261|~spl0_260),
% 102.21/13.31 inference(split_clause,[status(thm)],[f5477,f2364,f533,f5474,f5352,f2921,f2918])).
% 102.21/13.31 fof(f5479,plain,(
% 102.21/13.31 ~ssItem(skaf44(sk1))|~ssList(nil)|nil=skaf82(sk1)|~ssList(cons(skaf44(sk1),nil))|nil=cons(skaf44(sk1),nil)|~spl0_260),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2919,f2189])).
% 102.21/13.31 fof(f5480,plain,(
% 102.21/13.31 ~spl0_183|~spl0_16|spl0_518|~spl0_513|spl0_261|~spl0_260),
% 102.21/13.31 inference(split_clause,[status(thm)],[f5479,f2364,f533,f5373,f5352,f2921,f2918])).
% 102.21/13.31 fof(f5527,plain,(
% 102.21/13.31 spl0_546 <=> hd(sk1)=skaf44(sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5528,plain,(
% 102.21/13.31 hd(sk1)=skaf44(sk1)|~spl0_546),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5527])).
% 102.21/13.31 fof(f5530,plain,(
% 102.21/13.31 ~ssItem(skaf44(sk1))|~ssList(nil)|hd(sk1)=skaf44(sk1)|~spl0_260),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2919,f296])).
% 102.21/13.31 fof(f5531,plain,(
% 102.21/13.31 ~spl0_183|~spl0_16|spl0_546|~spl0_260),
% 102.21/13.31 inference(split_clause,[status(thm)],[f5530,f2364,f533,f5527,f2918])).
% 102.21/13.31 fof(f5532,plain,(
% 102.21/13.31 ~ssItem(skaf44(sk1))|~ssList(nil)|tl(sk1)=nil|~spl0_260),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2919,f295])).
% 102.21/13.31 fof(f5533,plain,(
% 102.21/13.31 ~spl0_183|~spl0_16|spl0_514|~spl0_260),
% 102.21/13.31 inference(split_clause,[status(thm)],[f5532,f2364,f533,f5355,f2918])).
% 102.21/13.31 fof(f5550,plain,(
% 102.21/13.31 ~ssList(sk1)|~spl0_260|spl0_513),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f2919,f5354])).
% 102.21/13.31 fof(f5551,plain,(
% 102.21/13.31 $false|~spl0_260|spl0_513),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f5550,f429])).
% 102.21/13.31 fof(f5552,plain,(
% 102.21/13.31 ~spl0_260|spl0_513),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f5551])).
% 102.21/13.31 fof(f5632,plain,(
% 102.21/13.31 spl0_551 <=> cons(hd(sk1),nil)=sk1),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5633,plain,(
% 102.21/13.31 cons(hd(sk1),nil)=sk1|~spl0_551),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5632])).
% 102.21/13.31 fof(f5635,plain,(
% 102.21/13.31 ~ssList(sk1)|cons(hd(sk1),nil)=sk1|nil=sk1|~spl0_514),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f5356,f305])).
% 102.21/13.31 fof(f5636,plain,(
% 102.21/13.31 ~spl0_15|spl0_551|spl0_12|~spl0_514),
% 102.21/13.31 inference(split_clause,[status(thm)],[f5635,f523,f5632,f510,f5355])).
% 102.21/13.31 fof(f5650,plain,(
% 102.21/13.31 hd(sk1)=skaf83(sk1)|~spl0_539|~spl0_546),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f5475,f5528])).
% 102.21/13.31 fof(f5839,plain,(
% 102.21/13.31 spl0_583 <=> ssList(skaf46(sk1,app(cons(sk5,nil),sk8)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5841,plain,(
% 102.21/13.31 ~ssList(skaf46(sk1,app(cons(sk5,nil),sk8)))|spl0_583),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5839])).
% 102.21/13.31 fof(f5847,plain,(
% 102.21/13.31 spl0_585 <=> ssList(skaf46(sk1,sk8))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f5849,plain,(
% 102.21/13.31 ~ssList(skaf46(sk1,sk8))|spl0_585),
% 102.21/13.31 inference(component_clause,[status(thm)],[f5847])).
% 102.21/13.31 fof(f5855,plain,(
% 102.21/13.31 $false|spl0_583),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f5841,f248])).
% 102.21/13.31 fof(f5856,plain,(
% 102.21/13.31 spl0_583),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f5855])).
% 102.21/13.31 fof(f5857,plain,(
% 102.21/13.31 $false|spl0_585),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f5849,f248])).
% 102.21/13.31 fof(f5858,plain,(
% 102.21/13.31 spl0_585),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f5857])).
% 102.21/13.31 fof(f6948,plain,(
% 102.21/13.31 ![X0]: (~sk1=app(X0,sk8)|~ssList(X0)|app(app(sk7,cons(sk5,nil)),sk1)=X0|~spl0_91|~spl0_32)),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f1188,f652])).
% 102.21/13.31 fof(f6949,plain,(
% 102.21/13.31 ![X0]: (~sk1=app(X0,sk8)|~ssList(X0)|app(app(sk7,sk1),sk1)=X0|~spl0_91|~spl0_32)),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f1188,f6948])).
% 102.21/13.31 fof(f6954,plain,(
% 102.21/13.31 ~nil=app(app(sk7,cons(sk5,nil)),sk1)|~spl0_91|spl0_8),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f1188,f500])).
% 102.21/13.31 fof(f6955,plain,(
% 102.21/13.31 ~nil=app(app(sk7,sk1),sk1)|~spl0_91|spl0_8),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f1188,f6954])).
% 102.21/13.31 fof(f7042,plain,(
% 102.21/13.31 spl0_709 <=> memberP(sk1,sk5)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7043,plain,(
% 102.21/13.31 memberP(sk1,sk5)|~spl0_709),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7042])).
% 102.21/13.31 fof(f7047,plain,(
% 102.21/13.31 spl0_710 <=> skaf83(sk1)=sk5),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7048,plain,(
% 102.21/13.31 skaf83(sk1)=sk5|~spl0_710),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7047])).
% 102.21/13.31 fof(f7114,plain,(
% 102.21/13.31 spl0_717 <=> nil=app(sk7,sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7115,plain,(
% 102.21/13.31 nil=app(sk7,sk1)|~spl0_717),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7114])).
% 102.21/13.31 fof(f7117,plain,(
% 102.21/13.31 spl0_718 <=> ssList(app(sk7,sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7119,plain,(
% 102.21/13.31 ~ssList(app(sk7,sk1))|spl0_718),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7117])).
% 102.21/13.31 fof(f7287,plain,(
% 102.21/13.31 spl0_736 <=> duplicatefreeP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7289,plain,(
% 102.21/13.31 ~duplicatefreeP(nil)|spl0_736),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7287])).
% 102.21/13.31 fof(f7317,plain,(
% 102.21/13.31 $false|spl0_736),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f7289,f200])).
% 102.21/13.31 fof(f7318,plain,(
% 102.21/13.31 spl0_736),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f7317])).
% 102.21/13.31 fof(f7487,plain,(
% 102.21/13.31 spl0_768 <=> tl(sk1)=app(tl(sk1),nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7488,plain,(
% 102.21/13.31 tl(sk1)=app(tl(sk1),nil)|~spl0_768),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7487])).
% 102.21/13.31 fof(f7490,plain,(
% 102.21/13.31 ~ssList(nil)|~ssList(sk1)|nil=sk1|tl(sk1)=app(tl(sk1),nil)|~spl0_258),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f2910,f344])).
% 102.21/13.31 fof(f7491,plain,(
% 102.21/13.31 ~spl0_16|~spl0_15|spl0_12|spl0_768|~spl0_258),
% 102.21/13.31 inference(split_clause,[status(thm)],[f7490,f533,f523,f510,f7487,f2909])).
% 102.21/13.31 fof(f7497,plain,(
% 102.21/13.31 nil=app(tl(sk1),nil)|~spl0_514|~spl0_768),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f5356,f7488])).
% 102.21/13.31 fof(f7498,plain,(
% 102.21/13.31 nil=app(nil,nil)|~spl0_514|~spl0_768),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f5356,f7497])).
% 102.21/13.31 fof(f7619,plain,(
% 102.21/13.31 spl0_780 <=> equalelemsP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7621,plain,(
% 102.21/13.31 ~equalelemsP(nil)|spl0_780),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7619])).
% 102.21/13.31 fof(f7625,plain,(
% 102.21/13.31 spl0_782 <=> ssList(skaf80(nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7627,plain,(
% 102.21/13.31 ~ssList(skaf80(nil))|spl0_782),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7625])).
% 102.21/13.31 fof(f7669,plain,(
% 102.21/13.31 $false|spl0_782),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f7627,f213])).
% 102.21/13.31 fof(f7670,plain,(
% 102.21/13.31 spl0_782),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f7669])).
% 102.21/13.31 fof(f7773,plain,(
% 102.21/13.31 spl0_801 <=> ssList(skaf46(nil,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f7775,plain,(
% 102.21/13.31 ~ssList(skaf46(nil,nil))|spl0_801),
% 102.21/13.31 inference(component_clause,[status(thm)],[f7773])).
% 102.21/13.31 fof(f7997,plain,(
% 102.21/13.31 $false|spl0_801),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f7775,f248])).
% 102.21/13.31 fof(f7998,plain,(
% 102.21/13.31 spl0_801),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f7997])).
% 102.21/13.31 fof(f8062,plain,(
% 102.21/13.31 spl0_847 <=> ssList(app(app(sk7,sk1),sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f8064,plain,(
% 102.21/13.31 ~ssList(app(app(sk7,sk1),sk1))|spl0_847),
% 102.21/13.31 inference(component_clause,[status(thm)],[f8062])).
% 102.21/13.31 fof(f8112,plain,(
% 102.21/13.31 spl0_857 <=> nil=app(app(sk7,sk1),sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f8113,plain,(
% 102.21/13.31 nil=app(app(sk7,sk1),sk1)|~spl0_857),
% 102.21/13.31 inference(component_clause,[status(thm)],[f8112])).
% 102.21/13.31 fof(f8440,plain,(
% 102.21/13.31 spl0_908 <=> ssList(skaf45(nil,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f8442,plain,(
% 102.21/13.31 ~ssList(skaf45(nil,nil))|spl0_908),
% 102.21/13.31 inference(component_clause,[status(thm)],[f8440])).
% 102.21/13.31 fof(f8458,plain,(
% 102.21/13.31 $false|spl0_908),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f8442,f249])).
% 102.21/13.31 fof(f8459,plain,(
% 102.21/13.31 spl0_908),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f8458])).
% 102.21/13.31 fof(f8900,plain,(
% 102.21/13.31 ~sk1=app(sk1,sk8)|~ssList(sk1)|~ssList(app(sk7,sk1))|app(sk7,sk1)=nil|~spl0_91|~spl0_32|~spl0_334),
% 102.21/13.31 inference(resolution,[status(thm)],[f6949,f3490])).
% 102.21/13.31 fof(f8901,plain,(
% 102.21/13.31 ~spl0_46|~spl0_15|~spl0_718|spl0_717|~spl0_91|~spl0_32|~spl0_334),
% 102.21/13.31 inference(split_clause,[status(thm)],[f8900,f734,f523,f7117,f7114,f1187,f651,f3489])).
% 102.21/13.31 fof(f9056,plain,(
% 102.21/13.31 spl0_986 <=> cons(sk5,skaf82(sk1))=sk1),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f9057,plain,(
% 102.21/13.31 cons(sk5,skaf82(sk1))=sk1|~spl0_986),
% 102.21/13.31 inference(component_clause,[status(thm)],[f9056])).
% 102.21/13.31 fof(f9059,plain,(
% 102.21/13.31 ~ssList(sk1)|cons(sk5,skaf82(sk1))=sk1|nil=sk1|~spl0_710),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f7048,f310])).
% 102.21/13.31 fof(f9060,plain,(
% 102.21/13.31 ~spl0_15|spl0_986|spl0_12|~spl0_710),
% 102.21/13.31 inference(split_clause,[status(thm)],[f9059,f523,f9056,f510,f7047])).
% 102.21/13.31 fof(f9098,plain,(
% 102.21/13.31 ~ssList(sk1)|~ssList(sk7)|spl0_718),
% 102.21/13.31 inference(resolution,[status(thm)],[f7119,f284])).
% 102.21/13.31 fof(f9099,plain,(
% 102.21/13.31 ~spl0_15|~spl0_17|spl0_718),
% 102.21/13.31 inference(split_clause,[status(thm)],[f9098,f523,f540,f7117])).
% 102.21/13.31 fof(f9119,plain,(
% 102.21/13.31 cons(sk5,nil)=sk1|~spl0_518|~spl0_986),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f5374,f9057])).
% 102.21/13.31 fof(f9120,plain,(
% 102.21/13.31 spl0_91|~spl0_518|~spl0_986),
% 102.21/13.31 inference(split_clause,[status(thm)],[f9119,f1187,f5373,f9056])).
% 102.21/13.31 fof(f9140,plain,(
% 102.21/13.31 spl0_992 <=> ~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f9141,plain,(
% 102.21/13.31 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_992)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f9140])).
% 102.21/13.31 fof(f9143,plain,(
% 102.21/13.31 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_4)),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f485,f353])).
% 102.21/13.31 fof(f9144,plain,(
% 102.21/13.31 spl0_992|~spl0_10|~spl0_11|~spl0_4),
% 102.21/13.31 inference(split_clause,[status(thm)],[f9143,f9140,f504,f507,f468])).
% 102.21/13.31 fof(f9152,plain,(
% 102.21/13.31 spl0_994 <=> tl(sk1)=app(tl(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))),sk8)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f9153,plain,(
% 102.21/13.31 tl(sk1)=app(tl(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))),sk8)|~spl0_994),
% 102.21/13.31 inference(component_clause,[status(thm)],[f9152])).
% 102.21/13.31 fof(f9155,plain,(
% 102.21/13.31 ~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|nil=app(app(sk7,cons(sk5,nil)),cons(sk5,nil))|tl(sk1)=app(tl(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))),sk8)|~spl0_4),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f485,f344])).
% 102.21/13.31 fof(f9156,plain,(
% 102.21/13.31 ~spl0_10|~spl0_11|spl0_8|spl0_994|~spl0_4),
% 102.21/13.31 inference(split_clause,[status(thm)],[f9155,f504,f507,f498,f9152,f468])).
% 102.21/13.31 fof(f9259,plain,(
% 102.21/13.31 nil=app(tl(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))),sk8)|~spl0_514|~spl0_994),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f5356,f9153])).
% 102.21/13.31 fof(f9632,plain,(
% 102.21/13.31 ![X0,X1,X2,X3,X4]: (~app(app(X0,cons(X1,X2)),cons(X1,X3))=X4|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X4)|~spl0_0)),
% 102.21/13.31 inference(backward_subsumption_resolution,[status(thm)],[f416,f443])).
% 102.21/13.31 fof(f9701,plain,(
% 102.21/13.31 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~spl0_0)),
% 102.21/13.31 inference(equality_resolution,[status(esa)],[f9632])).
% 102.21/13.31 fof(f9713,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X2)|memberP(X1,X2)|X2=X0|~spl0_1)),
% 102.21/13.31 inference(backward_subsumption_resolution,[status(thm)],[f390,f446])).
% 102.21/13.31 fof(f9714,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|memberP(X1,X2)|X2=X0|~spl0_1)),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f9713,f446])).
% 102.21/13.31 fof(f9780,plain,(
% 102.21/13.31 ![X0,X1]: (~ssList(X0)|memberP(cons(X1,X0),X1)|~spl0_1)),
% 102.21/13.31 inference(backward_subsumption_resolution,[status(thm)],[f456,f446])).
% 102.21/13.31 fof(f10013,plain,(
% 102.21/13.31 spl0_1042 <=> strictorderP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f10015,plain,(
% 102.21/13.31 ~strictorderP(nil)|spl0_1042),
% 102.21/13.31 inference(component_clause,[status(thm)],[f10013])).
% 102.21/13.31 fof(f10047,plain,(
% 102.21/13.31 spl0_1047 <=> totalorderP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f10049,plain,(
% 102.21/13.31 ~totalorderP(nil)|spl0_1047),
% 102.21/13.31 inference(component_clause,[status(thm)],[f10047])).
% 102.21/13.31 fof(f10081,plain,(
% 102.21/13.31 spl0_1052 <=> cyclefreeP(nil)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f10083,plain,(
% 102.21/13.31 ~cyclefreeP(nil)|spl0_1052),
% 102.21/13.31 inference(component_clause,[status(thm)],[f10081])).
% 102.21/13.31 fof(f10402,plain,(
% 102.21/13.31 spl0_1089 <=> ssList(skaf46(sk1,sk7))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f10404,plain,(
% 102.21/13.31 ~ssList(skaf46(sk1,sk7))|spl0_1089),
% 102.21/13.31 inference(component_clause,[status(thm)],[f10402])).
% 102.21/13.31 fof(f10577,plain,(
% 102.21/13.31 $false|spl0_1089),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f10404,f248])).
% 102.21/13.31 fof(f10578,plain,(
% 102.21/13.31 spl0_1089),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f10577])).
% 102.21/13.31 fof(f10710,plain,(
% 102.21/13.31 spl0_1132 <=> ssList(skaf45(sk1,app(sk7,cons(sk5,nil))))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f10712,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,app(sk7,cons(sk5,nil))))|spl0_1132),
% 102.21/13.31 inference(component_clause,[status(thm)],[f10710])).
% 102.21/13.31 fof(f10829,plain,(
% 102.21/13.31 $false|spl0_1132),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f10712,f249])).
% 102.21/13.31 fof(f10830,plain,(
% 102.21/13.31 spl0_1132),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f10829])).
% 102.21/13.31 fof(f10887,plain,(
% 102.21/13.31 cons(skaf83(sk1),nil)=sk1|~spl0_539|~spl0_546|~spl0_551),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f5650,f5633])).
% 102.21/13.31 fof(f11924,plain,(
% 102.21/13.31 ~ssList(nil)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~spl0_0|~spl0_11),
% 102.21/13.31 inference(resolution,[status(thm)],[f9701,f508])).
% 102.21/13.31 fof(f11925,plain,(
% 102.21/13.31 ~spl0_16|~spl0_17|~spl0_6|~spl0_0|~spl0_11),
% 102.21/13.31 inference(split_clause,[status(thm)],[f11924,f533,f540,f476,f442,f507])).
% 102.21/13.31 fof(f12210,plain,(
% 102.21/13.31 $false|spl0_297),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f3311,f201])).
% 102.21/13.31 fof(f12211,plain,(
% 102.21/13.31 spl0_297),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f12210])).
% 102.21/13.31 fof(f12293,plain,(
% 102.21/13.31 $false|spl0_536),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f5459,f202])).
% 102.21/13.31 fof(f12294,plain,(
% 102.21/13.31 spl0_536),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f12293])).
% 102.21/13.31 fof(f12566,plain,(
% 102.21/13.31 ![X0]: (~memberP(nil,X0)|~spl0_1)),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f269,f446])).
% 102.21/13.31 fof(f12578,plain,(
% 102.21/13.31 spl0_1241 <=> ssList(skaf46(nil,sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f12580,plain,(
% 102.21/13.31 ~ssList(skaf46(nil,sk1))|spl0_1241),
% 102.21/13.31 inference(component_clause,[status(thm)],[f12578])).
% 102.21/13.31 fof(f12587,plain,(
% 102.21/13.31 $false|spl0_1241),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f12580,f248])).
% 102.21/13.31 fof(f12588,plain,(
% 102.21/13.31 spl0_1241),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f12587])).
% 102.21/13.31 fof(f12659,plain,(
% 102.21/13.31 spl0_1256 <=> ssList(skaf45(nil,tl(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f12661,plain,(
% 102.21/13.31 ~ssList(skaf45(nil,tl(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))))|spl0_1256),
% 102.21/13.31 inference(component_clause,[status(thm)],[f12659])).
% 102.21/13.31 fof(f12691,plain,(
% 102.21/13.31 spl0_1262 <=> ssList(skaf46(nil,sk8))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f12693,plain,(
% 102.21/13.31 ~ssList(skaf46(nil,sk8))|spl0_1262),
% 102.21/13.31 inference(component_clause,[status(thm)],[f12691])).
% 102.21/13.31 fof(f12739,plain,(
% 102.21/13.31 spl0_1274 <=> rearsegP(sk8,app(nil,nil))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f12740,plain,(
% 102.21/13.31 rearsegP(sk8,app(nil,nil))|~spl0_1274),
% 102.21/13.31 inference(component_clause,[status(thm)],[f12739])).
% 102.21/13.31 fof(f12741,plain,(
% 102.21/13.31 ~rearsegP(sk8,app(nil,nil))|spl0_1274),
% 102.21/13.31 inference(component_clause,[status(thm)],[f12739])).
% 102.21/13.31 fof(f12834,plain,(
% 102.21/13.31 ~rearsegP(sk8,nil)|~spl0_514|~spl0_768|spl0_1274),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f7498,f12741])).
% 102.21/13.31 fof(f12839,plain,(
% 102.21/13.31 $false|spl0_1262),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f12693,f248])).
% 102.21/13.31 fof(f12840,plain,(
% 102.21/13.31 spl0_1262),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f12839])).
% 102.21/13.31 fof(f12841,plain,(
% 102.21/13.31 $false|spl0_1256),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f12661,f249])).
% 102.21/13.31 fof(f12842,plain,(
% 102.21/13.31 spl0_1256),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f12841])).
% 102.21/13.31 fof(f12855,plain,(
% 102.21/13.31 ~ssList(sk8)|~spl0_514|~spl0_768|spl0_1274),
% 102.21/13.31 inference(resolution,[status(thm)],[f12834,f256])).
% 102.21/13.31 fof(f12856,plain,(
% 102.21/13.31 ~spl0_10|~spl0_514|~spl0_768|spl0_1274),
% 102.21/13.31 inference(split_clause,[status(thm)],[f12855,f504,f5355,f7487,f12739])).
% 102.21/13.31 fof(f12862,plain,(
% 102.21/13.31 rearsegP(sk8,nil)|~spl0_514|~spl0_768|~spl0_1274),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f7498,f12740])).
% 102.21/13.31 fof(f12871,plain,(
% 102.21/13.31 ~rearsegP(nil,sk8)|~ssList(nil)|~ssList(sk8)|sk8=nil|~spl0_514|~spl0_768|~spl0_1274),
% 102.21/13.31 inference(resolution,[status(thm)],[f12862,f339])).
% 102.21/13.31 fof(f12872,plain,(
% 102.21/13.31 ~spl0_451|~spl0_16|~spl0_10|spl0_9|~spl0_514|~spl0_768|~spl0_1274),
% 102.21/13.31 inference(split_clause,[status(thm)],[f12871,f4987,f533,f504,f501,f5355,f7487,f12739])).
% 102.21/13.31 fof(f12908,plain,(
% 102.21/13.31 ~sk1=app(sk1,nil)|~spl0_9|spl0_46),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f502,f736])).
% 102.21/13.31 fof(f12909,plain,(
% 102.21/13.31 ~spl0_258|~spl0_9|spl0_46),
% 102.21/13.31 inference(split_clause,[status(thm)],[f12908,f2909,f501,f734])).
% 102.21/13.31 fof(f13035,plain,(
% 102.21/13.31 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|memberP(sk1,X0)|~spl0_1|~spl0_992)),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f9141,f446])).
% 102.21/13.31 fof(f13961,plain,(
% 102.21/13.31 spl0_1318 <=> ~memberP(sk1,X0)|memberP(nil,X0)|X0=skaf83(sk1)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f13962,plain,(
% 102.21/13.31 ![X0]: (~memberP(sk1,X0)|memberP(nil,X0)|X0=skaf83(sk1)|~spl0_1318)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f13961])).
% 102.21/13.31 fof(f13964,plain,(
% 102.21/13.31 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|memberP(nil,X0)|X0=skaf83(sk1)|~spl0_1|~spl0_539|~spl0_546|~spl0_551)),
% 102.21/13.31 inference(paramodulation,[status(thm)],[f10887,f9714])).
% 102.21/13.31 fof(f13965,plain,(
% 102.21/13.31 spl0_1318|~spl0_16|~spl0_1|~spl0_539|~spl0_546|~spl0_551),
% 102.21/13.31 inference(split_clause,[status(thm)],[f13964,f13961,f533,f445,f5474,f5527,f5632])).
% 102.21/13.31 fof(f13966,plain,(
% 102.21/13.31 ![X0]: (~memberP(sk1,X0)|X0=skaf83(sk1)|~spl0_1|~spl0_1318)),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f13962,f12566])).
% 102.21/13.31 fof(f14187,plain,(
% 102.21/13.31 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|memberP(app(X2,X0),X1)|~spl0_1)),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f354,f446])).
% 102.21/13.31 fof(f14188,plain,(
% 102.21/13.31 spl0_1326 <=> ~memberP(cons(sk5,nil),X0)|memberP(sk1,X0)),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f14189,plain,(
% 102.21/13.31 ![X0]: (~memberP(cons(sk5,nil),X0)|memberP(sk1,X0)|~spl0_1326)),
% 102.21/13.31 inference(component_clause,[status(thm)],[f14188])).
% 102.21/13.31 fof(f14191,plain,(
% 102.21/13.31 ![X0]: (~memberP(cons(sk5,nil),X0)|~ssList(cons(sk5,nil))|~ssList(app(sk7,cons(sk5,nil)))|memberP(sk1,X0)|~spl0_1|~spl0_992)),
% 102.21/13.31 inference(resolution,[status(thm)],[f14187,f13035])).
% 102.21/13.31 fof(f14192,plain,(
% 102.21/13.31 spl0_1326|~spl0_13|~spl0_14|~spl0_1|~spl0_992),
% 102.21/13.31 inference(split_clause,[status(thm)],[f14191,f14188,f515,f518,f445,f9140])).
% 102.21/13.31 fof(f14218,plain,(
% 102.21/13.31 memberP(sk1,sk5)|~ssList(nil)|~spl0_1326|~spl0_1),
% 102.21/13.31 inference(resolution,[status(thm)],[f14189,f9780])).
% 102.21/13.31 fof(f14219,plain,(
% 102.21/13.31 spl0_709|~spl0_16|~spl0_1326|~spl0_1),
% 102.21/13.31 inference(split_clause,[status(thm)],[f14218,f7042,f533,f14188,f445])).
% 102.21/13.31 fof(f14495,plain,(
% 102.21/13.31 sk5=skaf83(sk1)|~spl0_1|~spl0_1318|~spl0_709),
% 102.21/13.31 inference(resolution,[status(thm)],[f13966,f7043])).
% 102.21/13.31 fof(f14496,plain,(
% 102.21/13.31 spl0_710|~spl0_1|~spl0_1318|~spl0_709),
% 102.21/13.31 inference(split_clause,[status(thm)],[f14495,f7047,f445,f13961,f7042])).
% 102.21/13.31 fof(f14560,plain,(
% 102.21/13.31 nil=app(tl(app(app(sk7,cons(sk5,nil)),sk1)),sk8)|~spl0_91|~spl0_514|~spl0_994),
% 102.21/13.31 inference(backward_demodulation,[status(thm)],[f1188,f9259])).
% 102.21/13.31 fof(f14561,plain,(
% 102.21/13.31 nil=app(tl(app(app(sk7,sk1),sk1)),sk8)|~spl0_91|~spl0_514|~spl0_994),
% 102.21/13.31 inference(forward_demodulation,[status(thm)],[f1188,f14560])).
% 102.21/13.31 fof(f14763,plain,(
% 102.21/13.31 spl0_1378 <=> ssList(skaf45(sk1,app(app(sk7,sk1),sk1)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f14765,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,app(app(sk7,sk1),sk1)))|spl0_1378),
% 102.21/13.31 inference(component_clause,[status(thm)],[f14763])).
% 102.21/13.31 fof(f14844,plain,(
% 102.21/13.31 $false|spl0_1378),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f14765,f249])).
% 102.21/13.31 fof(f14845,plain,(
% 102.21/13.31 spl0_1378),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f14844])).
% 102.21/13.31 fof(f14985,plain,(
% 102.21/13.31 $false|spl0_780),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f7621,f199])).
% 102.21/13.31 fof(f14986,plain,(
% 102.21/13.31 spl0_780),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f14985])).
% 102.21/13.31 fof(f15872,plain,(
% 102.21/13.31 ~ssList(sk1)|~ssList(app(sk7,sk1))|spl0_847),
% 102.21/13.31 inference(resolution,[status(thm)],[f8064,f284])).
% 102.21/13.31 fof(f15873,plain,(
% 102.21/13.31 ~spl0_15|~spl0_718|spl0_847),
% 102.21/13.31 inference(split_clause,[status(thm)],[f15872,f523,f7117,f8062])).
% 102.21/13.31 fof(f15915,plain,(
% 102.21/13.31 $false|~spl0_91|spl0_8|~spl0_857),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f8113,f6955])).
% 102.21/13.31 fof(f15916,plain,(
% 102.21/13.31 ~spl0_91|spl0_8|~spl0_857),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f15915])).
% 102.21/13.31 fof(f16027,plain,(
% 102.21/13.31 spl0_1485 <=> ssList(skaf45(sk1,app(sk7,sk1)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f16029,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,app(sk7,sk1)))|spl0_1485),
% 102.21/13.31 inference(component_clause,[status(thm)],[f16027])).
% 102.21/13.31 fof(f16065,plain,(
% 102.21/13.31 spl0_1493 <=> ssList(skaf46(sk1,app(sk1,sk8)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f16067,plain,(
% 102.21/13.31 ~ssList(skaf46(sk1,app(sk1,sk8)))|spl0_1493),
% 102.21/13.31 inference(component_clause,[status(thm)],[f16065])).
% 102.21/13.31 fof(f16219,plain,(
% 102.21/13.31 $false|spl0_1493),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f16067,f248])).
% 102.21/13.31 fof(f16220,plain,(
% 102.21/13.31 spl0_1493),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f16219])).
% 102.21/13.31 fof(f16221,plain,(
% 102.21/13.31 $false|spl0_1485),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f16029,f249])).
% 102.21/13.31 fof(f16222,plain,(
% 102.21/13.31 spl0_1485),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f16221])).
% 102.21/13.31 fof(f16356,plain,(
% 102.21/13.31 $false|spl0_1047),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f10049,f204])).
% 102.21/13.31 fof(f16357,plain,(
% 102.21/13.31 spl0_1047),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f16356])).
% 102.21/13.31 fof(f16431,plain,(
% 102.21/13.31 $false|spl0_1042),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f10015,f203])).
% 102.21/13.31 fof(f16432,plain,(
% 102.21/13.31 spl0_1042),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f16431])).
% 102.21/13.31 fof(f18725,plain,(
% 102.21/13.31 spl0_1653 <=> ssList(skaf45(sk1,sk7))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f18727,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,sk7))|spl0_1653),
% 102.21/13.31 inference(component_clause,[status(thm)],[f18725])).
% 102.21/13.31 fof(f18869,plain,(
% 102.21/13.31 $false|spl0_1653),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f18727,f249])).
% 102.21/13.31 fof(f18870,plain,(
% 102.21/13.31 spl0_1653),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f18869])).
% 102.21/13.31 fof(f19626,plain,(
% 102.21/13.31 spl0_1724 <=> ssList(skaf46(nil,sk7))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f19628,plain,(
% 102.21/13.31 ~ssList(skaf46(nil,sk7))|spl0_1724),
% 102.21/13.31 inference(component_clause,[status(thm)],[f19626])).
% 102.21/13.31 fof(f19738,plain,(
% 102.21/13.31 $false|spl0_1724),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f19628,f248])).
% 102.21/13.31 fof(f19739,plain,(
% 102.21/13.31 spl0_1724),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f19738])).
% 102.21/13.31 fof(f19865,plain,(
% 102.21/13.31 spl0_1757 <=> ssList(skaf45(nil,sk7))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f19867,plain,(
% 102.21/13.31 ~ssList(skaf45(nil,sk7))|spl0_1757),
% 102.21/13.31 inference(component_clause,[status(thm)],[f19865])).
% 102.21/13.31 fof(f20003,plain,(
% 102.21/13.31 $false|spl0_1757),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f19867,f249])).
% 102.21/13.31 fof(f20004,plain,(
% 102.21/13.31 spl0_1757),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f20003])).
% 102.21/13.31 fof(f20261,plain,(
% 102.21/13.31 spl0_1798 <=> ssList(skaf45(sk1,app(sk1,sk1)))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f20263,plain,(
% 102.21/13.31 ~ssList(skaf45(sk1,app(sk1,sk1)))|spl0_1798),
% 102.21/13.31 inference(component_clause,[status(thm)],[f20261])).
% 102.21/13.31 fof(f20408,plain,(
% 102.21/13.31 $false|spl0_1798),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f20263,f249])).
% 102.21/13.31 fof(f20409,plain,(
% 102.21/13.31 spl0_1798),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f20408])).
% 102.21/13.31 fof(f20970,plain,(
% 102.21/13.31 $false|spl0_1052),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f10083,f205])).
% 102.21/13.31 fof(f20971,plain,(
% 102.21/13.31 spl0_1052),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f20970])).
% 102.21/13.31 fof(f22482,plain,(
% 102.21/13.31 spl0_1859 <=> ssList(skaf45(nil,sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f22484,plain,(
% 102.21/13.31 ~ssList(skaf45(nil,sk1))|spl0_1859),
% 102.21/13.31 inference(component_clause,[status(thm)],[f22482])).
% 102.21/13.31 fof(f22490,plain,(
% 102.21/13.31 spl0_1861 <=> ssList(skaf45(sk8,sk1))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f22492,plain,(
% 102.21/13.31 ~ssList(skaf45(sk8,sk1))|spl0_1861),
% 102.21/13.31 inference(component_clause,[status(thm)],[f22490])).
% 102.21/13.31 fof(f22577,plain,(
% 102.21/13.31 $false|spl0_1861),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f22492,f249])).
% 102.21/13.31 fof(f22578,plain,(
% 102.21/13.31 spl0_1861),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f22577])).
% 102.21/13.31 fof(f22579,plain,(
% 102.21/13.31 $false|spl0_1859),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f22484,f249])).
% 102.21/13.31 fof(f22580,plain,(
% 102.21/13.31 spl0_1859),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f22579])).
% 102.21/13.31 fof(f22786,plain,(
% 102.21/13.31 spl0_1893 <=> ssList(skaf46(sk8,sk8))),
% 102.21/13.31 introduced(split_symbol_definition)).
% 102.21/13.31 fof(f22788,plain,(
% 102.21/13.31 ~ssList(skaf46(sk8,sk8))|spl0_1893),
% 102.21/13.31 inference(component_clause,[status(thm)],[f22786])).
% 102.21/13.31 fof(f22919,plain,(
% 102.21/13.31 $false|spl0_1893),
% 102.21/13.31 inference(forward_subsumption_resolution,[status(thm)],[f22788,f248])).
% 102.21/13.31 fof(f22920,plain,(
% 102.21/13.31 spl0_1893),
% 102.21/13.31 inference(contradiction_clause,[status(thm)],[f22919])).
% 103.25/13.43 fof(f23423,plain,(
% 103.25/13.43 ~nil=nil|~ssList(sk1)|~ssList(sk7)|nil=sk1|~spl0_717),
% 103.25/13.43 inference(paramodulation,[status(thm)],[f7115,f328])).
% 103.25/13.43 fof(f23424,plain,(
% 103.25/13.43 ~spl0_18|~spl0_15|~spl0_17|spl0_12|~spl0_717),
% 103.25/13.43 inference(split_clause,[status(thm)],[f23423,f547,f523,f540,f510,f7114])).
% 103.25/13.43 fof(f23760,plain,(
% 103.25/13.43 spl0_1974 <=> ssList(tl(app(app(sk7,sk1),sk1)))),
% 103.25/13.43 introduced(split_symbol_definition)).
% 103.25/13.43 fof(f23762,plain,(
% 103.25/13.43 ~ssList(tl(app(app(sk7,sk1),sk1)))|spl0_1974),
% 103.25/13.43 inference(component_clause,[status(thm)],[f23760])).
% 103.25/13.43 fof(f23858,plain,(
% 103.25/13.43 spl0_1992 <=> ssList(skaf45(nil,tl(app(app(sk7,sk1),sk1))))),
% 103.25/13.43 introduced(split_symbol_definition)).
% 103.25/13.43 fof(f23860,plain,(
% 103.25/13.43 ~ssList(skaf45(nil,tl(app(app(sk7,sk1),sk1))))|spl0_1992),
% 103.25/13.43 inference(component_clause,[status(thm)],[f23858])).
% 103.25/13.43 fof(f24001,plain,(
% 103.25/13.43 ~ssList(tl(app(app(sk7,sk1),sk1)))|~ssList(sk8)|rearsegP(nil,sk8)|~spl0_91|~spl0_514|~spl0_994),
% 103.25/13.43 inference(paramodulation,[status(thm)],[f14561,f1135])).
% 103.25/13.43 fof(f24002,plain,(
% 103.25/13.43 ~spl0_1974|~spl0_10|spl0_451|~spl0_91|~spl0_514|~spl0_994),
% 103.25/13.43 inference(split_clause,[status(thm)],[f24001,f23760,f504,f4987,f1187,f5355,f9152])).
% 103.25/13.43 fof(f24013,plain,(
% 103.25/13.43 $false|spl0_1992),
% 103.25/13.43 inference(forward_subsumption_resolution,[status(thm)],[f23860,f249])).
% 103.25/13.43 fof(f24014,plain,(
% 103.25/13.43 spl0_1992),
% 103.25/13.43 inference(contradiction_clause,[status(thm)],[f24013])).
% 103.25/13.43 fof(f24018,plain,(
% 103.25/13.43 ~ssList(app(app(sk7,sk1),sk1))|nil=app(app(sk7,sk1),sk1)|spl0_1974),
% 103.25/13.43 inference(resolution,[status(thm)],[f23762,f274])).
% 103.25/13.43 fof(f24019,plain,(
% 103.25/13.43 ~spl0_847|spl0_857|spl0_1974),
% 103.25/13.43 inference(split_clause,[status(thm)],[f24018,f8062,f8112,f23760])).
% 103.25/13.43 fof(f24020,plain,(
% 103.25/13.43 $false),
% 103.25/13.43 inference(sat_refutation,[status(thm)],[f448,f480,f482,f484,f522,f527,f530,f537,f539,f544,f546,f655,f677,f842,f1157,f1689,f2368,f2370,f2925,f2977,f2980,f3306,f3345,f3493,f3776,f3778,f3785,f3812,f3826,f4136,f4138,f4183,f4185,f4891,f5478,f5480,f5531,f5533,f5552,f5636,f5856,f5858,f7318,f7491,f7670,f7998,f8459,f8901,f9060,f9099,f9120,f9144,f9156,f10578,f10830,f11925,f12211,f12294,f12588,f12840,f12842,f12856,f12872,f12909,f13965,f14192,f14219,f14496,f14845,f14986,f15873,f15916,f16220,f16222,f16357,f16432,f18870,f19739,f20004,f20409,f20971,f22578,f22580,f22920,f23424,f24002,f24014,f24019])).
% 103.25/13.43 % SZS output end CNFRefutation for theBenchmark.p
% 103.25/13.43 % Elapsed time: 13.060266 seconds
% 103.25/13.43 % CPU time: 103.327055 seconds
% 103.25/13.43 % Total memory used: 521.957 MB
% 103.25/13.43 % Net memory used: 497.022 MB
%------------------------------------------------------------------------------