TSTP Solution File: SWC152-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC152-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:39:27 EDT 2023
% Result : Unsatisfiable 0.12s 0.47s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWC152-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n031.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 11:45:07 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.5.1
% 0.12/0.47 % Refutation found
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.47 fof(f8,axiom,(
% 0.12/0.47 ssList(nil) ),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f47,axiom,(
% 0.12/0.47 (![U]: (ssItem(skaf44(U)) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f53,axiom,(
% 0.12/0.47 (![U,V]: (ssList(skaf42(U,V)) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f62,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| leq(U,U) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f65,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| duplicatefreeP(cons(U,nil)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f66,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| strictorderedP(cons(U,nil)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f67,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| totalorderedP(cons(U,nil)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f68,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| strictorderP(cons(U,nil)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f69,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| totalorderP(cons(U,nil)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f70,axiom,(
% 0.12/0.47 (![U]: (( ~ ssItem(U)| cyclefreeP(cons(U,nil)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f71,axiom,(
% 0.12/0.47 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f73,axiom,(
% 0.12/0.47 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f74,axiom,(
% 0.12/0.47 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f85,axiom,(
% 0.12/0.47 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f86,axiom,(
% 0.12/0.47 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f119,axiom,(
% 0.12/0.47 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f140,axiom,(
% 0.12/0.47 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f141,axiom,(
% 0.12/0.47 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f145,axiom,(
% 0.12/0.47 (![U,V]: (( nil != U| nil != V| ~ ssList(V)| ~ ssList(U)| app(U,V) = nil ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f149,axiom,(
% 0.12/0.47 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f150,axiom,(
% 0.12/0.47 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f151,axiom,(
% 0.12/0.47 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f156,axiom,(
% 0.12/0.47 (![U,V,W]: (( ~ leq(U,V)| ~ leq(V,W)| ~ ssItem(W)| ~ ssItem(V)| ~ ssItem(U)| leq(U,W) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f158,axiom,(
% 0.12/0.47 (![U,V,W]: (( ~ memberP(app(U,V),W)| ~ ssList(V)| ~ ssList(U)| ~ ssItem(W)| memberP(V,W)| memberP(U,W) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f161,axiom,(
% 0.12/0.47 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f170,axiom,(
% 0.12/0.47 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.12/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f171,axiom,(
% 0.12/0.47 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f175,axiom,(
% 0.12/0.48 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f187,negated_conjecture,(
% 0.12/0.48 ssList(sk2) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f191,negated_conjecture,(
% 0.12/0.48 sk1 = sk3 ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f192,negated_conjecture,(
% 0.12/0.48 ssItem(sk5) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f193,negated_conjecture,(
% 0.12/0.48 ssItem(sk6) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f194,negated_conjecture,(
% 0.12/0.48 ssList(sk7) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f195,negated_conjecture,(
% 0.12/0.48 ssList(sk8) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f196,negated_conjecture,(
% 0.12/0.48 ssList(sk9) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f197,negated_conjecture,(
% 0.12/0.48 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f198,negated_conjecture,(
% 0.12/0.48 leq(sk6,sk5) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f199,negated_conjecture,(
% 0.12/0.48 ( ssItem(sk10)| ~ leq(sk5,sk6) ) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f200,negated_conjecture,(
% 0.12/0.48 ( memberP(sk8,sk10)| ~ leq(sk5,sk6) ) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f201,negated_conjecture,(
% 0.12/0.48 ( ~ leq(sk5,sk10)| ~ leq(sk10,sk6)| ~ leq(sk5,sk6) ) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f203,negated_conjecture,(
% 0.12/0.48 ( ssItem(sk11)| nil = sk3 ) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f207,negated_conjecture,(
% 0.12/0.48 ( cons(sk11,nil) = sk3| nil = sk3 ) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f217,plain,(
% 0.12/0.48 ssList(nil)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.48 fof(f256,plain,(
% 0.12/0.48 ![X0]: (ssItem(skaf44(X0)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f47])).
% 0.12/0.48 fof(f262,plain,(
% 0.12/0.48 ![X0,X1]: (ssList(skaf42(X0,X1)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.48 fof(f271,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f62])).
% 0.12/0.48 fof(f274,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|duplicatefreeP(cons(X0,nil)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f65])).
% 0.12/0.48 fof(f275,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f66])).
% 0.12/0.48 fof(f276,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|totalorderedP(cons(X0,nil)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f67])).
% 0.12/0.48 fof(f277,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|strictorderP(cons(X0,nil)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f68])).
% 0.12/0.48 fof(f278,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|totalorderP(cons(X0,nil)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f69])).
% 0.12/0.48 fof(f279,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|cyclefreeP(cons(X0,nil)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f70])).
% 0.12/0.48 fof(f280,plain,(
% 0.12/0.48 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f71])).
% 0.12/0.48 fof(f283,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f73])).
% 0.12/0.48 fof(f284,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f74])).
% 0.12/0.48 fof(f295,plain,(
% 0.12/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f85])).
% 0.12/0.48 fof(f296,plain,(
% 0.12/0.48 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f86])).
% 0.12/0.48 fof(f338,plain,(
% 0.12/0.48 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f119])).
% 0.12/0.48 fof(f339,plain,(
% 0.12/0.48 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f338])).
% 0.12/0.48 fof(f364,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f140])).
% 0.12/0.48 fof(f365,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f141])).
% 0.12/0.48 fof(f371,plain,(
% 0.12/0.48 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|app(X0,X1)=nil)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f145])).
% 0.12/0.48 fof(f378,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f149])).
% 0.12/0.48 fof(f379,plain,(
% 0.12/0.48 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f150])).
% 0.12/0.48 fof(f380,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f379])).
% 0.12/0.48 fof(f381,plain,(
% 0.12/0.48 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f151])).
% 0.12/0.48 fof(f382,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f381])).
% 0.12/0.48 fof(f391,plain,(
% 0.12/0.48 ![U,W]: (((![V]: (((~leq(U,V)|~leq(V,W))|~ssItem(W))|~ssItem(V)))|~ssItem(U))|leq(U,W))),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f156])).
% 0.12/0.48 fof(f392,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|~ssItem(X2)|~ssItem(X1)|~ssItem(X0)|leq(X0,X2))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f391])).
% 0.12/0.48 fof(f394,plain,(
% 0.12/0.48 ![U,W]: ((![V]: ((((~memberP(app(U,V),W)|~ssList(V))|~ssList(U))|~ssItem(W))|memberP(V,W)))|memberP(U,W))),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f158])).
% 0.12/0.48 fof(f395,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~memberP(app(X0,X1),X2)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|memberP(X1,X2)|memberP(X0,X2))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f394])).
% 0.12/0.48 fof(f400,plain,(
% 0.12/0.48 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f161])).
% 0.12/0.48 fof(f401,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f400])).
% 0.12/0.48 fof(f410,plain,(
% 0.12/0.48 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f170])).
% 0.12/0.48 fof(f411,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f410])).
% 0.12/0.48 fof(f412,plain,(
% 0.12/0.48 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f171])).
% 0.12/0.48 fof(f413,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f412])).
% 0.12/0.48 fof(f419,plain,(
% 0.12/0.48 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.12/0.48 inference(miniscoping,[status(esa)],[f175])).
% 0.12/0.48 fof(f420,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.48 fof(f441,plain,(
% 0.12/0.48 ssList(sk2)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f187])).
% 0.12/0.48 fof(f445,plain,(
% 0.12/0.48 sk1=sk3),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f191])).
% 0.12/0.48 fof(f446,plain,(
% 0.12/0.48 ssItem(sk5)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f192])).
% 0.12/0.48 fof(f447,plain,(
% 0.12/0.48 ssItem(sk6)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f193])).
% 0.12/0.48 fof(f448,plain,(
% 0.12/0.48 ssList(sk7)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f194])).
% 0.12/0.48 fof(f449,plain,(
% 0.12/0.48 ssList(sk8)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f195])).
% 0.12/0.48 fof(f450,plain,(
% 0.12/0.48 ssList(sk9)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f196])).
% 0.12/0.48 fof(f451,plain,(
% 0.12/0.48 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=sk1),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f197])).
% 0.12/0.48 fof(f452,plain,(
% 0.12/0.48 leq(sk6,sk5)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f198])).
% 0.12/0.48 fof(f453,plain,(
% 0.12/0.48 ssItem(sk10)|~leq(sk5,sk6)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f199])).
% 0.12/0.48 fof(f454,plain,(
% 0.12/0.48 memberP(sk8,sk10)|~leq(sk5,sk6)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f200])).
% 0.12/0.48 fof(f455,plain,(
% 0.12/0.48 ~leq(sk5,sk10)|~leq(sk10,sk6)|~leq(sk5,sk6)),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f201])).
% 0.12/0.48 fof(f457,plain,(
% 0.12/0.48 ssItem(sk11)|nil=sk3),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f203])).
% 0.12/0.48 fof(f462,plain,(
% 0.12/0.48 cons(sk11,nil)=sk3|nil=sk3),
% 0.12/0.48 inference(cnf_transformation,[status(esa)],[f207])).
% 0.12/0.48 fof(f473,plain,(
% 0.12/0.48 spl0_2 <=> ssItem(sk10)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f476,plain,(
% 0.12/0.48 spl0_3 <=> leq(sk5,sk6)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f478,plain,(
% 0.12/0.48 ~leq(sk5,sk6)|spl0_3),
% 0.12/0.48 inference(component_clause,[status(thm)],[f476])).
% 0.12/0.48 fof(f479,plain,(
% 0.12/0.48 spl0_2|~spl0_3),
% 0.12/0.48 inference(split_clause,[status(thm)],[f453,f473,f476])).
% 0.12/0.48 fof(f480,plain,(
% 0.12/0.48 spl0_4 <=> memberP(sk8,sk10)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f481,plain,(
% 0.12/0.48 memberP(sk8,sk10)|~spl0_4),
% 0.12/0.48 inference(component_clause,[status(thm)],[f480])).
% 0.12/0.48 fof(f483,plain,(
% 0.12/0.48 spl0_4|~spl0_3),
% 0.12/0.48 inference(split_clause,[status(thm)],[f454,f480,f476])).
% 0.12/0.48 fof(f484,plain,(
% 0.12/0.48 spl0_5 <=> leq(sk5,sk10)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f486,plain,(
% 0.12/0.48 ~leq(sk5,sk10)|spl0_5),
% 0.12/0.48 inference(component_clause,[status(thm)],[f484])).
% 0.12/0.48 fof(f487,plain,(
% 0.12/0.48 spl0_6 <=> leq(sk10,sk6)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f489,plain,(
% 0.12/0.48 ~leq(sk10,sk6)|spl0_6),
% 0.12/0.48 inference(component_clause,[status(thm)],[f487])).
% 0.12/0.48 fof(f490,plain,(
% 0.12/0.48 ~spl0_5|~spl0_6|~spl0_3),
% 0.12/0.48 inference(split_clause,[status(thm)],[f455,f484,f487,f476])).
% 0.12/0.48 fof(f491,plain,(
% 0.12/0.48 spl0_7 <=> ssItem(sk11)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f492,plain,(
% 0.12/0.48 ssItem(sk11)|~spl0_7),
% 0.12/0.48 inference(component_clause,[status(thm)],[f491])).
% 0.12/0.48 fof(f498,plain,(
% 0.12/0.48 spl0_9 <=> nil=sk3),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f499,plain,(
% 0.12/0.48 nil=sk3|~spl0_9),
% 0.12/0.48 inference(component_clause,[status(thm)],[f498])).
% 0.12/0.48 fof(f501,plain,(
% 0.12/0.48 spl0_7|spl0_9),
% 0.12/0.48 inference(split_clause,[status(thm)],[f457,f491,f498])).
% 0.12/0.48 fof(f502,plain,(
% 0.12/0.48 spl0_10 <=> cons(sk11,nil)=sk3),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f503,plain,(
% 0.12/0.48 cons(sk11,nil)=sk3|~spl0_10),
% 0.12/0.48 inference(component_clause,[status(thm)],[f502])).
% 0.12/0.48 fof(f514,plain,(
% 0.12/0.48 spl0_10|spl0_9),
% 0.12/0.48 inference(split_clause,[status(thm)],[f462,f502,f498])).
% 0.12/0.48 fof(f533,plain,(
% 0.12/0.48 ~ssList(nil)|~ssList(nil)|app(nil,nil)=nil),
% 0.12/0.48 inference(destructive_equality_resolution,[status(esa)],[f371])).
% 0.12/0.48 fof(f534,plain,(
% 0.12/0.48 ~ssList(nil)|app(nil,nil)=nil),
% 0.12/0.48 inference(duplicate_literals_removal,[status(esa)],[f533])).
% 0.12/0.48 fof(f536,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 0.12/0.48 inference(destructive_equality_resolution,[status(esa)],[f420])).
% 0.12/0.48 fof(f548,plain,(
% 0.12/0.48 nil=sk1|~spl0_9),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f445,f499])).
% 0.12/0.48 fof(f554,plain,(
% 0.12/0.48 spl0_13 <=> ssList(sk9)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f556,plain,(
% 0.12/0.48 ~ssList(sk9)|spl0_13),
% 0.12/0.48 inference(component_clause,[status(thm)],[f554])).
% 0.12/0.48 fof(f557,plain,(
% 0.12/0.48 spl0_14 <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f559,plain,(
% 0.12/0.48 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|spl0_14),
% 0.12/0.48 inference(component_clause,[status(thm)],[f557])).
% 0.12/0.48 fof(f560,plain,(
% 0.12/0.48 spl0_15 <=> ssList(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f562,plain,(
% 0.12/0.48 ~ssList(nil)|spl0_15),
% 0.12/0.48 inference(component_clause,[status(thm)],[f560])).
% 0.12/0.48 fof(f565,plain,(
% 0.12/0.48 spl0_16 <=> ssList(cons(sk6,nil))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f567,plain,(
% 0.12/0.48 ~ssList(cons(sk6,nil))|spl0_16),
% 0.12/0.48 inference(component_clause,[status(thm)],[f565])).
% 0.12/0.48 fof(f568,plain,(
% 0.12/0.48 spl0_17 <=> ssList(app(app(sk7,cons(sk5,nil)),sk8))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f570,plain,(
% 0.12/0.48 ~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_17),
% 0.12/0.48 inference(component_clause,[status(thm)],[f568])).
% 0.12/0.48 fof(f571,plain,(
% 0.12/0.48 ~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_14),
% 0.12/0.48 inference(resolution,[status(thm)],[f559,f295])).
% 0.12/0.48 fof(f572,plain,(
% 0.12/0.48 ~spl0_16|~spl0_17|spl0_14),
% 0.12/0.48 inference(split_clause,[status(thm)],[f571,f565,f568,f557])).
% 0.12/0.48 fof(f573,plain,(
% 0.12/0.48 $false|spl0_13),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f556,f450])).
% 0.12/0.48 fof(f574,plain,(
% 0.12/0.48 spl0_13),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f573])).
% 0.12/0.48 fof(f575,plain,(
% 0.12/0.48 spl0_18 <=> ssList(sk8)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f577,plain,(
% 0.12/0.48 ~ssList(sk8)|spl0_18),
% 0.12/0.48 inference(component_clause,[status(thm)],[f575])).
% 0.12/0.48 fof(f578,plain,(
% 0.12/0.48 spl0_19 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f580,plain,(
% 0.12/0.48 ~ssList(app(sk7,cons(sk5,nil)))|spl0_19),
% 0.12/0.48 inference(component_clause,[status(thm)],[f578])).
% 0.12/0.48 fof(f581,plain,(
% 0.12/0.48 ~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|spl0_17),
% 0.12/0.48 inference(resolution,[status(thm)],[f570,f295])).
% 0.12/0.48 fof(f582,plain,(
% 0.12/0.48 ~spl0_18|~spl0_19|spl0_17),
% 0.12/0.48 inference(split_clause,[status(thm)],[f581,f575,f578,f568])).
% 0.12/0.48 fof(f583,plain,(
% 0.12/0.48 $false|spl0_18),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f577,f449])).
% 0.12/0.48 fof(f584,plain,(
% 0.12/0.48 spl0_18),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f583])).
% 0.12/0.48 fof(f585,plain,(
% 0.12/0.48 spl0_20 <=> ssList(cons(sk5,nil))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f587,plain,(
% 0.12/0.48 ~ssList(cons(sk5,nil))|spl0_20),
% 0.12/0.48 inference(component_clause,[status(thm)],[f585])).
% 0.12/0.48 fof(f588,plain,(
% 0.12/0.48 spl0_21 <=> ssList(sk7)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f590,plain,(
% 0.12/0.48 ~ssList(sk7)|spl0_21),
% 0.12/0.48 inference(component_clause,[status(thm)],[f588])).
% 0.12/0.48 fof(f591,plain,(
% 0.12/0.48 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_19),
% 0.12/0.48 inference(resolution,[status(thm)],[f580,f295])).
% 0.12/0.48 fof(f592,plain,(
% 0.12/0.48 ~spl0_20|~spl0_21|spl0_19),
% 0.12/0.48 inference(split_clause,[status(thm)],[f591,f585,f588,f578])).
% 0.12/0.48 fof(f593,plain,(
% 0.12/0.48 $false|spl0_21),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f590,f448])).
% 0.12/0.48 fof(f594,plain,(
% 0.12/0.48 spl0_21),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f593])).
% 0.12/0.48 fof(f595,plain,(
% 0.12/0.48 spl0_22 <=> ssItem(sk5)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f597,plain,(
% 0.12/0.48 ~ssItem(sk5)|spl0_22),
% 0.12/0.48 inference(component_clause,[status(thm)],[f595])).
% 0.12/0.48 fof(f598,plain,(
% 0.12/0.48 ~ssItem(sk5)|~ssList(nil)|spl0_20),
% 0.12/0.48 inference(resolution,[status(thm)],[f296,f587])).
% 0.12/0.48 fof(f599,plain,(
% 0.12/0.48 ~spl0_22|~spl0_15|spl0_20),
% 0.12/0.48 inference(split_clause,[status(thm)],[f598,f595,f560,f585])).
% 0.12/0.48 fof(f600,plain,(
% 0.12/0.48 spl0_23 <=> ssItem(sk6)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f602,plain,(
% 0.12/0.48 ~ssItem(sk6)|spl0_23),
% 0.12/0.48 inference(component_clause,[status(thm)],[f600])).
% 0.12/0.48 fof(f603,plain,(
% 0.12/0.48 ~ssItem(sk6)|~ssList(nil)|spl0_16),
% 0.12/0.48 inference(resolution,[status(thm)],[f296,f567])).
% 0.12/0.48 fof(f604,plain,(
% 0.12/0.48 ~spl0_23|~spl0_15|spl0_16),
% 0.12/0.48 inference(split_clause,[status(thm)],[f603,f600,f560,f565])).
% 0.12/0.48 fof(f605,plain,(
% 0.12/0.48 $false|spl0_22),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f597,f446])).
% 0.12/0.48 fof(f606,plain,(
% 0.12/0.48 spl0_22),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f605])).
% 0.12/0.48 fof(f607,plain,(
% 0.12/0.48 $false|spl0_23),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f602,f447])).
% 0.12/0.48 fof(f608,plain,(
% 0.12/0.48 spl0_23),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f607])).
% 0.12/0.48 fof(f621,plain,(
% 0.12/0.48 spl0_26 <=> leq(sk11,sk11)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f622,plain,(
% 0.12/0.48 leq(sk11,sk11)|~spl0_26),
% 0.12/0.48 inference(component_clause,[status(thm)],[f621])).
% 0.12/0.48 fof(f623,plain,(
% 0.12/0.48 ~leq(sk11,sk11)|spl0_26),
% 0.12/0.48 inference(component_clause,[status(thm)],[f621])).
% 0.12/0.48 fof(f626,plain,(
% 0.12/0.48 ~ssItem(sk11)|spl0_26),
% 0.12/0.48 inference(resolution,[status(thm)],[f623,f271])).
% 0.12/0.48 fof(f627,plain,(
% 0.12/0.48 $false|~spl0_7|spl0_26),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f626,f492])).
% 0.12/0.48 fof(f628,plain,(
% 0.12/0.48 ~spl0_7|spl0_26),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f627])).
% 0.12/0.48 fof(f630,plain,(
% 0.12/0.48 cons(sk11,nil)=sk1|~spl0_10),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f445,f503])).
% 0.12/0.48 fof(f631,plain,(
% 0.12/0.48 spl0_27 <=> ssList(sk1)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f644,plain,(
% 0.12/0.48 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|ssList(sk1)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f295])).
% 0.12/0.48 fof(f645,plain,(
% 0.12/0.48 ~spl0_13|~spl0_14|spl0_27),
% 0.12/0.48 inference(split_clause,[status(thm)],[f644,f554,f557,f631])).
% 0.12/0.48 fof(f650,plain,(
% 0.12/0.48 $false|spl0_15),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f217,f562])).
% 0.12/0.48 fof(f651,plain,(
% 0.12/0.48 spl0_15),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f650])).
% 0.12/0.48 fof(f657,plain,(
% 0.12/0.48 app(nil,nil)=nil),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f534,f217])).
% 0.12/0.48 fof(f662,plain,(
% 0.12/0.48 spl0_28 <=> sk6=sk5),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f663,plain,(
% 0.12/0.48 sk6=sk5|~spl0_28),
% 0.12/0.48 inference(component_clause,[status(thm)],[f662])).
% 0.12/0.48 fof(f667,plain,(
% 0.12/0.48 spl0_29 <=> ~memberP(nil,X0)|~ssItem(X0)|memberP(nil,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f670,plain,(
% 0.12/0.48 ![X0]: (~memberP(nil,X0)|~ssList(nil)|~ssList(nil)|~ssItem(X0)|memberP(nil,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f364])).
% 0.12/0.48 fof(f671,plain,(
% 0.12/0.48 spl0_29|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f670,f667,f560])).
% 0.12/0.48 fof(f672,plain,(
% 0.12/0.48 spl0_30 <=> ~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f673,plain,(
% 0.12/0.48 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_30)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f672])).
% 0.12/0.48 fof(f675,plain,(
% 0.12/0.48 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f364])).
% 0.12/0.48 fof(f676,plain,(
% 0.12/0.48 spl0_30|~spl0_13|~spl0_14),
% 0.12/0.48 inference(split_clause,[status(thm)],[f675,f672,f554,f557])).
% 0.12/0.48 fof(f679,plain,(
% 0.12/0.48 spl0_31 <=> ~memberP(sk9,X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f682,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk9,X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f365])).
% 0.12/0.48 fof(f683,plain,(
% 0.12/0.48 spl0_31|~spl0_13|~spl0_14),
% 0.12/0.48 inference(split_clause,[status(thm)],[f682,f679,f554,f557])).
% 0.12/0.48 fof(f689,plain,(
% 0.12/0.48 spl0_33 <=> ~leq(X0,sk6)|~ssItem(X0)|leq(X0,sk5)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f690,plain,(
% 0.12/0.48 ![X0]: (~leq(X0,sk6)|~ssItem(X0)|leq(X0,sk5)|~spl0_33)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f689])).
% 0.12/0.48 fof(f692,plain,(
% 0.12/0.48 ![X0]: (~leq(X0,sk6)|~ssItem(sk5)|~ssItem(sk6)|~ssItem(X0)|leq(X0,sk5))),
% 0.12/0.48 inference(resolution,[status(thm)],[f392,f452])).
% 0.12/0.48 fof(f693,plain,(
% 0.12/0.48 spl0_33|~spl0_22|~spl0_23),
% 0.12/0.48 inference(split_clause,[status(thm)],[f692,f689,f595,f600])).
% 0.12/0.48 fof(f694,plain,(
% 0.12/0.48 spl0_34 <=> leq(sk6,sk5)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f697,plain,(
% 0.12/0.48 ~ssItem(sk6)|leq(sk6,sk5)|~ssItem(sk6)|~spl0_33),
% 0.12/0.48 inference(resolution,[status(thm)],[f690,f271])).
% 0.12/0.48 fof(f698,plain,(
% 0.12/0.48 ~spl0_23|spl0_34|~spl0_33),
% 0.12/0.48 inference(split_clause,[status(thm)],[f697,f600,f694,f689])).
% 0.12/0.48 fof(f701,plain,(
% 0.12/0.48 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=nil|~spl0_9),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f548,f451])).
% 0.12/0.48 fof(f704,plain,(
% 0.12/0.48 spl0_35 <=> nil=nil),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f707,plain,(
% 0.12/0.48 ~ssList(nil)|nil=nil),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f283])).
% 0.12/0.48 fof(f708,plain,(
% 0.12/0.48 ~spl0_15|spl0_35),
% 0.12/0.48 inference(split_clause,[status(thm)],[f707,f560,f704])).
% 0.12/0.48 fof(f727,plain,(
% 0.12/0.48 spl0_36 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f730,plain,(
% 0.12/0.48 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f380,f284])).
% 0.12/0.48 fof(f731,plain,(
% 0.12/0.48 spl0_36|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f730,f727,f560])).
% 0.12/0.48 fof(f734,plain,(
% 0.12/0.48 spl0_37 <=> ~nil=app(nil,X0)|~ssList(X0)|nil=X0),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f737,plain,(
% 0.12/0.48 ![X0]: (~nil=app(nil,X0)|~ssList(nil)|~ssList(nil)|~ssList(X0)|nil=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f380])).
% 0.12/0.48 fof(f738,plain,(
% 0.12/0.48 spl0_37|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f737,f734,f560])).
% 0.12/0.48 fof(f741,plain,(
% 0.12/0.48 spl0_38 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f744,plain,(
% 0.12/0.48 spl0_39 <=> ~ssList(X1)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f745,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|~spl0_39)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f744])).
% 0.12/0.48 fof(f758,plain,(
% 0.12/0.48 spl0_40 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f761,plain,(
% 0.12/0.48 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f382,f283])).
% 0.12/0.48 fof(f762,plain,(
% 0.12/0.48 spl0_40|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f761,f758,f560])).
% 0.12/0.48 fof(f765,plain,(
% 0.12/0.48 spl0_41 <=> ~nil=app(X0,nil)|~ssList(X0)|nil=X0),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f768,plain,(
% 0.12/0.48 ![X0]: (~nil=app(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|nil=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f382])).
% 0.12/0.48 fof(f769,plain,(
% 0.12/0.48 spl0_41|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f768,f765,f560])).
% 0.12/0.48 fof(f783,plain,(
% 0.12/0.48 spl0_42 <=> ~ssItem(X0)|~ssItem(X0)|X0=X0),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f786,plain,(
% 0.12/0.48 spl0_43 <=> ~ssList(X1)|~ssList(X1)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f787,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_43)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f786])).
% 0.12/0.48 fof(f789,plain,(
% 0.12/0.48 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X0=X0)),
% 0.12/0.48 inference(equality_resolution,[status(esa)],[f411])).
% 0.12/0.48 fof(f790,plain,(
% 0.12/0.48 spl0_42|spl0_43),
% 0.12/0.48 inference(split_clause,[status(thm)],[f789,f783,f786])).
% 0.12/0.48 fof(f791,plain,(
% 0.12/0.48 spl0_44 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f792,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_44)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f791])).
% 0.12/0.48 fof(f794,plain,(
% 0.12/0.48 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X1=X1)),
% 0.12/0.48 inference(equality_resolution,[status(esa)],[f413])).
% 0.12/0.48 fof(f795,plain,(
% 0.12/0.48 spl0_44|spl0_38),
% 0.12/0.48 inference(split_clause,[status(thm)],[f794,f791,f741])).
% 0.12/0.48 fof(f796,plain,(
% 0.12/0.48 spl0_45 <=> ~ssList(X0)|app(nil,X0)=app(nil,app(nil,X0))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f797,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|app(nil,X0)=app(nil,app(nil,X0))|~spl0_45)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f796])).
% 0.12/0.48 fof(f799,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|app(nil,X0)=app(nil,app(nil,X0)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f378])).
% 0.12/0.48 fof(f800,plain,(
% 0.12/0.48 spl0_45|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f799,f796,f560])).
% 0.12/0.48 fof(f801,plain,(
% 0.12/0.48 spl0_46 <=> ~ssList(X0)|~ssList(X0)|~ssList(app(nil,X0))|X0=app(nil,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f804,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|X0=app(nil,X0)|~spl0_45)),
% 0.12/0.48 inference(resolution,[status(thm)],[f797,f380])).
% 0.12/0.48 fof(f805,plain,(
% 0.12/0.48 spl0_46|~spl0_15|~spl0_45),
% 0.12/0.48 inference(split_clause,[status(thm)],[f804,f801,f560,f796])).
% 0.12/0.48 fof(f808,plain,(
% 0.12/0.48 spl0_47 <=> app(nil,nil)=app(nil,nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f811,plain,(
% 0.12/0.48 ~ssList(nil)|app(nil,nil)=app(nil,nil)|~spl0_45),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f797])).
% 0.12/0.48 fof(f812,plain,(
% 0.12/0.48 ~spl0_15|spl0_47|~spl0_45),
% 0.12/0.48 inference(split_clause,[status(thm)],[f811,f560,f808,f796])).
% 0.12/0.48 fof(f814,plain,(
% 0.12/0.48 spl0_48 <=> ~memberP(nil,X0)|~ssItem(X0)|memberP(nil,X0)|memberP(nil,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f817,plain,(
% 0.12/0.48 ![X0]: (~memberP(nil,X0)|~ssList(nil)|~ssList(nil)|~ssItem(X0)|memberP(nil,X0)|memberP(nil,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f657,f395])).
% 0.12/0.48 fof(f818,plain,(
% 0.12/0.48 spl0_48|~spl0_15),
% 0.12/0.48 inference(split_clause,[status(thm)],[f817,f814,f560])).
% 0.12/0.48 fof(f821,plain,(
% 0.12/0.48 spl0_49 <=> nil=sk9),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f822,plain,(
% 0.12/0.48 nil=sk9|~spl0_49),
% 0.12/0.48 inference(component_clause,[status(thm)],[f821])).
% 0.12/0.48 fof(f824,plain,(
% 0.12/0.48 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|nil=sk9|~spl0_9),
% 0.12/0.48 inference(resolution,[status(thm)],[f701,f339])).
% 0.12/0.48 fof(f825,plain,(
% 0.12/0.48 ~spl0_13|~spl0_14|spl0_49|~spl0_9),
% 0.12/0.48 inference(split_clause,[status(thm)],[f824,f554,f557,f821,f498])).
% 0.12/0.48 fof(f864,plain,(
% 0.12/0.48 spl0_56 <=> ~memberP(sk9,X0)|~ssItem(X0)|memberP(nil,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f865,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk9,X0)|~ssItem(X0)|memberP(nil,X0)|~spl0_56)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f864])).
% 0.12/0.48 fof(f867,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk9,X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(nil,X0)|~spl0_9)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f701,f365])).
% 0.12/0.48 fof(f868,plain,(
% 0.12/0.48 spl0_56|~spl0_13|~spl0_14|~spl0_9),
% 0.12/0.48 inference(split_clause,[status(thm)],[f867,f864,f554,f557,f498])).
% 0.12/0.48 fof(f876,plain,(
% 0.12/0.48 spl0_58 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f879,plain,(
% 0.12/0.48 ~ssList(sk9)|~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f378])).
% 0.12/0.48 fof(f880,plain,(
% 0.12/0.48 ~spl0_13|~spl0_16|~spl0_17|spl0_58),
% 0.12/0.48 inference(split_clause,[status(thm)],[f879,f554,f565,f568,f876])).
% 0.12/0.48 fof(f881,plain,(
% 0.12/0.48 spl0_59 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk9,X0)|memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f884,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk1,X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(sk9,X0)|memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f395])).
% 0.12/0.48 fof(f885,plain,(
% 0.12/0.48 spl0_59|~spl0_13|~spl0_14),
% 0.12/0.48 inference(split_clause,[status(thm)],[f884,f881,f554,f557])).
% 0.12/0.48 fof(f886,plain,(
% 0.12/0.48 spl0_60 <=> ~ssList(X0)|app(sk1,X0)=app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),app(sk9,X0))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f889,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|app(sk1,X0)=app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),app(sk9,X0)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f378])).
% 0.12/0.48 fof(f890,plain,(
% 0.12/0.48 spl0_60|~spl0_13|~spl0_14),
% 0.12/0.48 inference(split_clause,[status(thm)],[f889,f886,f554,f557])).
% 0.12/0.48 fof(f891,plain,(
% 0.12/0.48 spl0_61 <=> ~app(X0,sk9)=sk1|~ssList(X0)|X0=app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f894,plain,(
% 0.12/0.48 ![X0]: (~app(X0,sk9)=sk1|~ssList(X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|X0=app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f382])).
% 0.12/0.48 fof(f895,plain,(
% 0.12/0.48 spl0_61|~spl0_13|~spl0_14),
% 0.12/0.48 inference(split_clause,[status(thm)],[f894,f891,f554,f557])).
% 0.12/0.48 fof(f898,plain,(
% 0.12/0.48 spl0_62 <=> ~app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)=sk1|~ssList(X0)|X0=sk9),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f901,plain,(
% 0.12/0.48 ![X0]: (~app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)=sk1|~ssList(X0)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssList(sk9)|X0=sk9)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f451,f380])).
% 0.12/0.48 fof(f902,plain,(
% 0.12/0.48 spl0_62|~spl0_14|~spl0_13),
% 0.12/0.48 inference(split_clause,[status(thm)],[f901,f898,f557,f554])).
% 0.12/0.48 fof(f991,plain,(
% 0.12/0.48 spl0_70 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk11),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f992,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk11|~spl0_70)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f991])).
% 0.12/0.48 fof(f994,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk11)|~ssItem(X0)|memberP(nil,X0)|X0=sk11|~spl0_10)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f630,f401])).
% 0.12/0.48 fof(f995,plain,(
% 0.12/0.48 spl0_70|~spl0_15|~spl0_7|~spl0_10),
% 0.12/0.48 inference(split_clause,[status(thm)],[f994,f991,f560,f491,f502])).
% 0.12/0.48 fof(f1013,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk11|~spl0_70)),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f992,f280])).
% 0.12/0.48 fof(f1019,plain,(
% 0.12/0.48 spl0_73 <=> memberP(sk1,sk6)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1020,plain,(
% 0.12/0.48 memberP(sk1,sk6)|~spl0_73),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1019])).
% 0.12/0.48 fof(f1022,plain,(
% 0.12/0.48 ~ssItem(sk6)|memberP(sk1,sk6)|~ssList(nil)|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|~ssItem(sk6)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~spl0_30),
% 0.12/0.48 inference(resolution,[status(thm)],[f673,f536])).
% 0.12/0.48 fof(f1023,plain,(
% 0.12/0.48 ~spl0_23|spl0_73|~spl0_15|~spl0_17|~spl0_14|~spl0_30),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1022,f600,f1019,f560,f568,f557,f672])).
% 0.12/0.48 fof(f1024,plain,(
% 0.12/0.48 spl0_74 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssItem(X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1027,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|~ssItem(X0)|~spl0_30)),
% 0.12/0.48 inference(resolution,[status(thm)],[f673,f365])).
% 0.12/0.48 fof(f1028,plain,(
% 0.12/0.48 spl0_74|~spl0_16|~spl0_17|~spl0_30),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1027,f1024,f565,f568,f672])).
% 0.12/0.48 fof(f1029,plain,(
% 0.12/0.48 spl0_75 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)|~ssItem(X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1032,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)|~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|~ssItem(X0)|~spl0_30)),
% 0.12/0.48 inference(resolution,[status(thm)],[f673,f364])).
% 0.12/0.48 fof(f1033,plain,(
% 0.12/0.48 spl0_75|~spl0_16|~spl0_17|~spl0_30),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1032,f1029,f565,f568,f672])).
% 0.12/0.48 fof(f1036,plain,(
% 0.12/0.48 spl0_76 <=> sk6=sk11),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1037,plain,(
% 0.12/0.48 sk6=sk11|~spl0_76),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1036])).
% 0.12/0.48 fof(f1039,plain,(
% 0.12/0.48 ~ssItem(sk6)|sk6=sk11|~spl0_73|~spl0_70),
% 0.12/0.48 inference(resolution,[status(thm)],[f1020,f1013])).
% 0.12/0.48 fof(f1040,plain,(
% 0.12/0.48 ~spl0_23|spl0_76|~spl0_73|~spl0_70),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1039,f600,f1036,f1019,f991])).
% 0.12/0.48 fof(f1044,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_76|~spl0_70)),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1037,f1013])).
% 0.12/0.48 fof(f1045,plain,(
% 0.12/0.48 cons(sk6,nil)=sk1|~spl0_76|~spl0_10),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1037,f630])).
% 0.12/0.48 fof(f1047,plain,(
% 0.12/0.48 leq(sk11,sk6)|~spl0_76|~spl0_26),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1037,f622])).
% 0.12/0.48 fof(f1048,plain,(
% 0.12/0.48 leq(sk6,sk6)|~spl0_76|~spl0_26),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f1037,f1047])).
% 0.12/0.48 fof(f1070,plain,(
% 0.12/0.48 app(app(app(app(sk7,cons(sk5,nil)),sk8),sk1),sk9)=sk1|~spl0_76|~spl0_10),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1045,f451])).
% 0.12/0.48 fof(f1140,plain,(
% 0.12/0.48 spl0_87 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1141,plain,(
% 0.12/0.48 sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))|~spl0_87),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1140])).
% 0.12/0.48 fof(f1143,plain,(
% 0.12/0.48 ~ssList(sk9)|~ssList(sk1)|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))|~spl0_76|~spl0_10),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1070,f378])).
% 0.12/0.48 fof(f1144,plain,(
% 0.12/0.48 ~spl0_13|~spl0_27|~spl0_17|spl0_87|~spl0_76|~spl0_10),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1143,f554,f631,f568,f1140,f1036,f502])).
% 0.12/0.48 fof(f1274,plain,(
% 0.12/0.48 spl0_104 <=> ssList(app(sk1,sk9))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1276,plain,(
% 0.12/0.48 ~ssList(app(sk1,sk9))|spl0_104),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1274])).
% 0.12/0.48 fof(f1277,plain,(
% 0.12/0.48 spl0_105 <=> sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1278,plain,(
% 0.12/0.48 sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_105),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1277])).
% 0.12/0.48 fof(f1280,plain,(
% 0.12/0.48 ~ssList(app(sk1,sk9))|~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_87),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1141,f378])).
% 0.12/0.48 fof(f1281,plain,(
% 0.12/0.48 ~spl0_104|~spl0_18|~spl0_19|spl0_105|~spl0_87),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1280,f1274,f575,f578,f1277,f1140])).
% 0.12/0.48 fof(f1328,plain,(
% 0.12/0.48 ~ssList(sk9)|~ssList(sk1)|spl0_104),
% 0.12/0.48 inference(resolution,[status(thm)],[f1276,f295])).
% 0.12/0.48 fof(f1329,plain,(
% 0.12/0.48 ~spl0_13|~spl0_27|spl0_104),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1328,f554,f631,f1274])).
% 0.12/0.48 fof(f1341,plain,(
% 0.12/0.48 spl0_116 <=> ssList(app(sk8,app(sk1,sk9)))),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1343,plain,(
% 0.12/0.48 ~ssList(app(sk8,app(sk1,sk9)))|spl0_116),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1341])).
% 0.12/0.48 fof(f1383,plain,(
% 0.12/0.48 spl0_124 <=> ~memberP(app(sk8,app(sk1,sk9)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1384,plain,(
% 0.12/0.48 ![X0]: (~memberP(app(sk8,app(sk1,sk9)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_124)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1383])).
% 0.12/0.48 fof(f1386,plain,(
% 0.12/0.48 ![X0]: (~memberP(app(sk8,app(sk1,sk9)),X0)|~ssList(app(sk8,app(sk1,sk9)))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_105)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1278,f365])).
% 0.12/0.48 fof(f1387,plain,(
% 0.12/0.48 spl0_124|~spl0_116|~spl0_19|~spl0_105),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1386,f1383,f1341,f578,f1277])).
% 0.12/0.48 fof(f1388,plain,(
% 0.12/0.48 spl0_125 <=> ~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1389,plain,(
% 0.12/0.48 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_125)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1388])).
% 0.12/0.48 fof(f1391,plain,(
% 0.12/0.48 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssList(app(sk8,app(sk1,sk9)))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_105)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1278,f364])).
% 0.12/0.48 fof(f1392,plain,(
% 0.12/0.48 spl0_125|~spl0_116|~spl0_19|~spl0_105),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1391,f1388,f1341,f578,f1277])).
% 0.12/0.48 fof(f1395,plain,(
% 0.12/0.48 ~ssList(app(sk1,sk9))|~ssList(sk8)|spl0_116),
% 0.12/0.48 inference(resolution,[status(thm)],[f1343,f295])).
% 0.12/0.48 fof(f1396,plain,(
% 0.12/0.48 ~spl0_104|~spl0_18|spl0_116),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1395,f1274,f575,f1341])).
% 0.12/0.48 fof(f1450,plain,(
% 0.12/0.48 spl0_133 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~ssItem(X0)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1451,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~ssItem(X0)|~spl0_133)),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1450])).
% 0.12/0.48 fof(f1453,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~ssList(app(sk1,sk9))|~ssList(sk8)|~ssItem(X0)|~spl0_124)),
% 0.12/0.48 inference(resolution,[status(thm)],[f1384,f364])).
% 0.12/0.48 fof(f1454,plain,(
% 0.12/0.48 spl0_133|~spl0_104|~spl0_18|~spl0_124),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1453,f1450,f1274,f575,f1383])).
% 0.12/0.48 fof(f1455,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~spl0_133)),
% 0.12/0.48 inference(duplicate_literals_removal,[status(esa)],[f1451])).
% 0.12/0.48 fof(f1456,plain,(
% 0.12/0.48 spl0_134 <=> memberP(sk1,sk5)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1457,plain,(
% 0.12/0.48 memberP(sk1,sk5)|~spl0_134),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1456])).
% 0.12/0.48 fof(f1459,plain,(
% 0.12/0.48 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~ssList(app(sk7,cons(sk5,nil)))|~spl0_125),
% 0.12/0.48 inference(resolution,[status(thm)],[f1389,f536])).
% 0.12/0.48 fof(f1460,plain,(
% 0.12/0.48 ~spl0_22|spl0_134|~spl0_15|~spl0_21|~spl0_19|~spl0_125),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1459,f595,f1456,f560,f588,f578,f1388])).
% 0.12/0.48 fof(f1473,plain,(
% 0.12/0.48 ~ssItem(sk5)|sk5=sk6|~spl0_134|~spl0_76|~spl0_70),
% 0.12/0.48 inference(resolution,[status(thm)],[f1457,f1044])).
% 0.12/0.48 fof(f1474,plain,(
% 0.12/0.48 ~spl0_22|spl0_28|~spl0_134|~spl0_76|~spl0_70),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1473,f595,f662,f1456,f1036,f991])).
% 0.12/0.48 fof(f1481,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk5|~spl0_28|~spl0_76|~spl0_70)),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f663,f1044])).
% 0.12/0.48 fof(f1483,plain,(
% 0.12/0.48 leq(sk6,sk5)|~spl0_28|~spl0_76|~spl0_26),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f663,f1048])).
% 0.12/0.48 fof(f1484,plain,(
% 0.12/0.48 leq(sk5,sk5)|~spl0_28|~spl0_76|~spl0_26),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f663,f1483])).
% 0.12/0.48 fof(f1487,plain,(
% 0.12/0.48 ~leq(sk5,sk5)|~spl0_28|spl0_3),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f663,f478])).
% 0.12/0.48 fof(f1495,plain,(
% 0.12/0.48 spl0_138 <=> leq(sk5,sk5)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1497,plain,(
% 0.12/0.48 ~leq(sk5,sk5)|spl0_138),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1495])).
% 0.12/0.48 fof(f1503,plain,(
% 0.12/0.48 $false|~spl0_28|~spl0_76|~spl0_26|spl0_138),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1497,f1484])).
% 0.12/0.48 fof(f1504,plain,(
% 0.12/0.48 ~spl0_28|~spl0_76|~spl0_26|spl0_138),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f1503])).
% 0.12/0.48 fof(f1505,plain,(
% 0.12/0.48 $false|~spl0_76|~spl0_26|~spl0_28|spl0_3),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1487,f1484])).
% 0.12/0.48 fof(f1506,plain,(
% 0.12/0.48 ~spl0_76|~spl0_26|~spl0_28|spl0_3),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f1505])).
% 0.12/0.48 fof(f1507,plain,(
% 0.12/0.48 spl0_140 <=> memberP(sk1,sk10)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1508,plain,(
% 0.12/0.48 memberP(sk1,sk10)|~spl0_140),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1507])).
% 0.12/0.48 fof(f1510,plain,(
% 0.12/0.48 ~ssItem(sk10)|memberP(sk1,sk10)|~spl0_4|~spl0_133),
% 0.12/0.48 inference(resolution,[status(thm)],[f481,f1455])).
% 0.12/0.48 fof(f1511,plain,(
% 0.12/0.48 ~spl0_2|spl0_140|~spl0_4|~spl0_133),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1510,f473,f1507,f480,f1450])).
% 0.12/0.48 fof(f1574,plain,(
% 0.12/0.48 spl0_146 <=> sk10=sk5),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1575,plain,(
% 0.12/0.48 sk10=sk5|~spl0_146),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1574])).
% 0.12/0.48 fof(f1577,plain,(
% 0.12/0.48 ~ssItem(sk10)|sk10=sk5|~spl0_28|~spl0_76|~spl0_70|~spl0_140),
% 0.12/0.48 inference(resolution,[status(thm)],[f1481,f1508])).
% 0.12/0.48 fof(f1578,plain,(
% 0.12/0.48 ~spl0_2|spl0_146|~spl0_28|~spl0_76|~spl0_70|~spl0_140),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1577,f473,f1574,f662,f1036,f991,f1507])).
% 0.12/0.48 fof(f1589,plain,(
% 0.12/0.48 ~leq(sk5,sk5)|~spl0_146|spl0_5),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1575,f486])).
% 0.12/0.48 fof(f1590,plain,(
% 0.12/0.48 ~spl0_138|~spl0_146|spl0_5),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1589,f1495,f1574,f484])).
% 0.12/0.48 fof(f1592,plain,(
% 0.12/0.48 ~leq(sk5,sk6)|~spl0_146|spl0_6),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f1575,f489])).
% 0.12/0.48 fof(f1593,plain,(
% 0.12/0.48 ~leq(sk5,sk5)|~spl0_28|~spl0_146|spl0_6),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f663,f1592])).
% 0.12/0.48 fof(f1594,plain,(
% 0.12/0.48 $false|~spl0_76|~spl0_26|~spl0_28|~spl0_146|spl0_6),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1593,f1484])).
% 0.12/0.48 fof(f1595,plain,(
% 0.12/0.48 ~spl0_76|~spl0_26|~spl0_28|~spl0_146|spl0_6),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f1594])).
% 0.12/0.48 fof(f1596,plain,(
% 0.12/0.48 ![X0]: (~memberP(sk9,X0)|~ssItem(X0)|~spl0_56)),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f865,f280])).
% 0.12/0.48 fof(f1599,plain,(
% 0.12/0.48 ![X0]: (~ssItem(X0)|~spl0_44)),
% 0.12/0.48 inference(duplicate_literals_removal,[status(esa)],[f792])).
% 0.12/0.48 fof(f1600,plain,(
% 0.12/0.48 ![X0]: (~ssList(X0)|~spl0_43)),
% 0.12/0.48 inference(duplicate_literals_removal,[status(esa)],[f787])).
% 0.12/0.48 fof(f1606,plain,(
% 0.12/0.48 $false|~spl0_44),
% 0.12/0.48 inference(backward_subsumption_resolution,[status(thm)],[f256,f1599])).
% 0.12/0.48 fof(f1607,plain,(
% 0.12/0.48 ~spl0_44),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f1606])).
% 0.12/0.48 fof(f1608,plain,(
% 0.12/0.48 $false|~spl0_43),
% 0.12/0.48 inference(backward_subsumption_resolution,[status(thm)],[f262,f1600])).
% 0.12/0.48 fof(f1609,plain,(
% 0.12/0.48 ~spl0_43),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f1608])).
% 0.12/0.48 fof(f1610,plain,(
% 0.12/0.48 $false|~spl0_39),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f441,f745])).
% 0.12/0.48 fof(f1611,plain,(
% 0.12/0.48 ~spl0_39),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f1610])).
% 0.12/0.48 fof(f1637,plain,(
% 0.12/0.48 memberP(nil,sk6)|~spl0_9|~spl0_73),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f548,f1020])).
% 0.12/0.48 fof(f1676,plain,(
% 0.12/0.48 spl0_148 <=> cyclefreeP(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1681,plain,(
% 0.12/0.48 spl0_149 <=> totalorderP(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1686,plain,(
% 0.12/0.48 spl0_150 <=> strictorderP(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1691,plain,(
% 0.12/0.48 spl0_151 <=> totalorderedP(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1696,plain,(
% 0.12/0.48 spl0_152 <=> strictorderedP(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1701,plain,(
% 0.12/0.48 spl0_153 <=> duplicatefreeP(nil)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1743,plain,(
% 0.12/0.48 spl0_155 <=> nil=cons(sk5,sk9)),
% 0.12/0.48 introduced(split_symbol_definition)).
% 0.12/0.48 fof(f1744,plain,(
% 0.12/0.48 nil=cons(sk5,sk9)|~spl0_155),
% 0.12/0.48 inference(component_clause,[status(thm)],[f1743])).
% 0.12/0.48 fof(f1798,plain,(
% 0.12/0.48 nil=cons(sk5,nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f822,f1744])).
% 0.12/0.48 fof(f1799,plain,(
% 0.12/0.48 ![X0]: (~memberP(nil,X0)|~ssItem(X0)|~spl0_49|~spl0_56)),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f822,f1596])).
% 0.12/0.48 fof(f1802,plain,(
% 0.12/0.48 ~ssItem(sk5)|cyclefreeP(nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1798,f279])).
% 0.12/0.48 fof(f1803,plain,(
% 0.12/0.48 ~spl0_22|spl0_148|~spl0_49|~spl0_155),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1802,f595,f1676,f821,f1743])).
% 0.12/0.48 fof(f1804,plain,(
% 0.12/0.48 ~ssItem(sk5)|totalorderP(nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1798,f278])).
% 0.12/0.48 fof(f1805,plain,(
% 0.12/0.48 ~spl0_22|spl0_149|~spl0_49|~spl0_155),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1804,f595,f1681,f821,f1743])).
% 0.12/0.48 fof(f1806,plain,(
% 0.12/0.48 ~ssItem(sk5)|strictorderP(nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1798,f277])).
% 0.12/0.48 fof(f1807,plain,(
% 0.12/0.48 ~spl0_22|spl0_150|~spl0_49|~spl0_155),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1806,f595,f1686,f821,f1743])).
% 0.12/0.48 fof(f1808,plain,(
% 0.12/0.48 ~ssItem(sk5)|totalorderedP(nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1798,f276])).
% 0.12/0.48 fof(f1809,plain,(
% 0.12/0.48 ~spl0_22|spl0_151|~spl0_49|~spl0_155),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1808,f595,f1691,f821,f1743])).
% 0.12/0.48 fof(f1810,plain,(
% 0.12/0.48 ~ssItem(sk5)|strictorderedP(nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1798,f275])).
% 0.12/0.48 fof(f1811,plain,(
% 0.12/0.48 ~spl0_22|spl0_152|~spl0_49|~spl0_155),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1810,f595,f1696,f821,f1743])).
% 0.12/0.48 fof(f1812,plain,(
% 0.12/0.48 ~ssItem(sk5)|duplicatefreeP(nil)|~spl0_49|~spl0_155),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1798,f274])).
% 0.12/0.48 fof(f1813,plain,(
% 0.12/0.48 ~spl0_22|spl0_153|~spl0_49|~spl0_155),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1812,f595,f1701,f821,f1743])).
% 0.12/0.48 fof(f1821,plain,(
% 0.12/0.48 ~ssItem(sk6)|~spl0_49|~spl0_56|~spl0_9|~spl0_73),
% 0.12/0.48 inference(resolution,[status(thm)],[f1799,f1637])).
% 0.12/0.48 fof(f1822,plain,(
% 0.12/0.48 ~spl0_23|~spl0_49|~spl0_56|~spl0_9|~spl0_73),
% 0.12/0.48 inference(split_clause,[status(thm)],[f1821,f600,f821,f864,f498,f1019])).
% 0.12/0.48 fof(f1823,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(sat_refutation,[status(thm)],[f479,f483,f490,f501,f514,f572,f574,f582,f584,f592,f594,f599,f604,f606,f608,f628,f645,f651,f671,f676,f683,f693,f698,f708,f731,f738,f762,f769,f790,f795,f800,f805,f812,f818,f825,f868,f880,f885,f890,f895,f902,f995,f1023,f1028,f1033,f1040,f1144,f1281,f1329,f1387,f1392,f1396,f1454,f1460,f1474,f1504,f1506,f1511,f1578,f1590,f1595,f1607,f1609,f1611,f1803,f1805,f1807,f1809,f1811,f1813,f1822])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.49 % Elapsed time: 0.213396 seconds
% 0.12/0.49 % CPU time: 1.537362 seconds
% 0.12/0.49 % Memory used: 78.844 MB
%------------------------------------------------------------------------------