TSTP Solution File: SWC152-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n006.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 20:44:43 EDT 2024
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC152-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 23:59:35 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f8,axiom,(
% 0.15/0.45 ssList(nil) ),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f33,axiom,(
% 0.15/0.45 (![U]: (ssList(skaf62(U)) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f62,axiom,(
% 0.15/0.45 (![U]: (( ~ ssItem(U)| leq(U,U) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f71,axiom,(
% 0.15/0.45 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f73,axiom,(
% 0.15/0.45 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f74,axiom,(
% 0.15/0.45 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f85,axiom,(
% 0.15/0.45 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f86,axiom,(
% 0.15/0.45 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f108,axiom,(
% 0.15/0.45 (![U,V]: (( ~ leq(U,V)| ~ ssItem(U)| ~ ssItem(V)| geq(V,U) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f118,axiom,(
% 0.15/0.45 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f119,axiom,(
% 0.15/0.45 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f140,axiom,(
% 0.15/0.45 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f141,axiom,(
% 0.15/0.45 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f143,axiom,(
% 0.15/0.45 (![U,V,W]: (( app(U,V) != W| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| rearsegP(W,V) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f144,axiom,(
% 0.15/0.45 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f149,axiom,(
% 0.15/0.45 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f150,axiom,(
% 0.15/0.45 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f151,axiom,(
% 0.15/0.45 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f156,axiom,(
% 0.15/0.45 (![U,V,W]: (( ~ leq(U,V)| ~ leq(V,W)| ~ ssItem(W)| ~ ssItem(V)| ~ ssItem(U)| leq(U,W) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f158,axiom,(
% 0.15/0.45 (![U,V,W]: (( ~ memberP(app(U,V),W)| ~ ssList(V)| ~ ssList(U)| ~ ssItem(W)| memberP(V,W)| memberP(U,W) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f161,axiom,(
% 0.15/0.45 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f170,axiom,(
% 0.15/0.45 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f171,axiom,(
% 0.15/0.45 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f175,axiom,(
% 0.15/0.45 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f191,negated_conjecture,(
% 0.15/0.45 sk1 = sk3 ),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f192,negated_conjecture,(
% 0.15/0.45 ssItem(sk5) ),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f193,negated_conjecture,(
% 0.15/0.46 ssItem(sk6) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f194,negated_conjecture,(
% 0.15/0.46 ssList(sk7) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f195,negated_conjecture,(
% 0.15/0.46 ssList(sk8) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f196,negated_conjecture,(
% 0.15/0.46 ssList(sk9) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f197,negated_conjecture,(
% 0.15/0.46 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f198,negated_conjecture,(
% 0.15/0.46 leq(sk6,sk5) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f199,negated_conjecture,(
% 0.15/0.46 ( ssItem(sk10)| ~ leq(sk5,sk6) ) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f200,negated_conjecture,(
% 0.15/0.46 ( memberP(sk8,sk10)| ~ leq(sk5,sk6) ) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f201,negated_conjecture,(
% 0.15/0.46 ( ~ leq(sk5,sk10)| ~ leq(sk10,sk6)| ~ leq(sk5,sk6) ) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f203,negated_conjecture,(
% 0.15/0.46 ( ssItem(sk11)| nil = sk3 ) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f207,negated_conjecture,(
% 0.15/0.46 ( cons(sk11,nil) = sk3| nil = sk3 ) ),
% 0.15/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f217,plain,(
% 0.15/0.46 ssList(nil)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.46 fof(f242,plain,(
% 0.15/0.46 ![X0]: (ssList(skaf62(X0)))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f33])).
% 0.15/0.46 fof(f271,plain,(
% 0.15/0.46 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f62])).
% 0.15/0.46 fof(f280,plain,(
% 0.15/0.46 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f71])).
% 0.15/0.46 fof(f283,plain,(
% 0.15/0.46 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.46 fof(f284,plain,(
% 0.15/0.46 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.46 fof(f295,plain,(
% 0.15/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.46 fof(f296,plain,(
% 0.15/0.46 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f86])).
% 0.15/0.46 fof(f320,plain,(
% 0.15/0.46 ![X0,X1]: (~leq(X0,X1)|~ssItem(X0)|~ssItem(X1)|geq(X1,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.46 fof(f336,plain,(
% 0.15/0.46 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f118])).
% 0.15/0.46 fof(f337,plain,(
% 0.15/0.46 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f336])).
% 0.15/0.46 fof(f338,plain,(
% 0.15/0.46 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f119])).
% 0.15/0.46 fof(f339,plain,(
% 0.15/0.46 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f338])).
% 0.15/0.46 fof(f364,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f140])).
% 0.15/0.46 fof(f365,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f141])).
% 0.15/0.46 fof(f367,plain,(
% 0.15/0.46 ![V,W]: ((((![U]: (~app(U,V)=W|~ssList(U)))|~ssList(V))|~ssList(W))|rearsegP(W,V))),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f143])).
% 0.15/0.46 fof(f368,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X0)|~ssList(X1)|~ssList(X2)|rearsegP(X2,X1))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f367])).
% 0.15/0.46 fof(f369,plain,(
% 0.15/0.46 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f144])).
% 0.15/0.46 fof(f370,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f369])).
% 0.15/0.46 fof(f378,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f149])).
% 0.15/0.46 fof(f379,plain,(
% 0.15/0.46 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f150])).
% 0.15/0.46 fof(f380,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f379])).
% 0.15/0.46 fof(f381,plain,(
% 0.15/0.46 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f151])).
% 0.15/0.46 fof(f382,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f381])).
% 0.15/0.46 fof(f391,plain,(
% 0.15/0.46 ![U,W]: (((![V]: (((~leq(U,V)|~leq(V,W))|~ssItem(W))|~ssItem(V)))|~ssItem(U))|leq(U,W))),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f156])).
% 0.15/0.46 fof(f392,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|~ssItem(X2)|~ssItem(X1)|~ssItem(X0)|leq(X0,X2))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f391])).
% 0.15/0.46 fof(f394,plain,(
% 0.15/0.46 ![U,W]: ((![V]: ((((~memberP(app(U,V),W)|~ssList(V))|~ssList(U))|~ssItem(W))|memberP(V,W)))|memberP(U,W))),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f158])).
% 0.15/0.46 fof(f395,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~memberP(app(X0,X1),X2)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|memberP(X1,X2)|memberP(X0,X2))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f394])).
% 0.15/0.46 fof(f400,plain,(
% 0.15/0.46 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f161])).
% 0.15/0.46 fof(f401,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f400])).
% 0.15/0.46 fof(f410,plain,(
% 0.15/0.46 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f170])).
% 0.15/0.46 fof(f411,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f410])).
% 0.15/0.46 fof(f412,plain,(
% 0.15/0.46 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f171])).
% 0.15/0.46 fof(f413,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f412])).
% 0.15/0.46 fof(f419,plain,(
% 0.15/0.46 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.15/0.46 inference(miniscoping,[status(esa)],[f175])).
% 0.15/0.46 fof(f420,plain,(
% 0.15/0.46 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.46 fof(f445,plain,(
% 0.15/0.46 sk1=sk3),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.46 fof(f446,plain,(
% 0.15/0.46 ssItem(sk5)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.46 fof(f447,plain,(
% 0.15/0.46 ssItem(sk6)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.46 fof(f448,plain,(
% 0.15/0.46 ssList(sk7)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.46 fof(f449,plain,(
% 0.15/0.46 ssList(sk8)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.46 fof(f450,plain,(
% 0.15/0.46 ssList(sk9)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.46 fof(f451,plain,(
% 0.15/0.46 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=sk1),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.46 fof(f452,plain,(
% 0.15/0.46 leq(sk6,sk5)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.46 fof(f453,plain,(
% 0.15/0.46 ssItem(sk10)|~leq(sk5,sk6)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.46 fof(f454,plain,(
% 0.15/0.46 memberP(sk8,sk10)|~leq(sk5,sk6)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f200])).
% 0.15/0.46 fof(f455,plain,(
% 0.15/0.46 ~leq(sk5,sk10)|~leq(sk10,sk6)|~leq(sk5,sk6)),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f201])).
% 0.15/0.46 fof(f457,plain,(
% 0.15/0.46 ssItem(sk11)|nil=sk3),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f203])).
% 0.15/0.46 fof(f462,plain,(
% 0.15/0.46 cons(sk11,nil)=sk3|nil=sk3),
% 0.15/0.46 inference(cnf_transformation,[status(esa)],[f207])).
% 0.15/0.46 fof(f473,plain,(
% 0.15/0.46 spl0_2 <=> ssItem(sk10)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f476,plain,(
% 0.15/0.46 spl0_3 <=> leq(sk5,sk6)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f477,plain,(
% 0.15/0.46 leq(sk5,sk6)|~spl0_3),
% 0.15/0.46 inference(component_clause,[status(thm)],[f476])).
% 0.15/0.46 fof(f478,plain,(
% 0.15/0.46 ~leq(sk5,sk6)|spl0_3),
% 0.15/0.46 inference(component_clause,[status(thm)],[f476])).
% 0.15/0.46 fof(f479,plain,(
% 0.15/0.46 spl0_2|~spl0_3),
% 0.15/0.46 inference(split_clause,[status(thm)],[f453,f473,f476])).
% 0.15/0.46 fof(f480,plain,(
% 0.15/0.46 spl0_4 <=> memberP(sk8,sk10)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f481,plain,(
% 0.15/0.46 memberP(sk8,sk10)|~spl0_4),
% 0.15/0.46 inference(component_clause,[status(thm)],[f480])).
% 0.15/0.46 fof(f483,plain,(
% 0.15/0.46 spl0_4|~spl0_3),
% 0.15/0.46 inference(split_clause,[status(thm)],[f454,f480,f476])).
% 0.15/0.46 fof(f484,plain,(
% 0.15/0.46 spl0_5 <=> leq(sk5,sk10)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f486,plain,(
% 0.15/0.46 ~leq(sk5,sk10)|spl0_5),
% 0.15/0.46 inference(component_clause,[status(thm)],[f484])).
% 0.15/0.46 fof(f487,plain,(
% 0.15/0.46 spl0_6 <=> leq(sk10,sk6)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f489,plain,(
% 0.15/0.46 ~leq(sk10,sk6)|spl0_6),
% 0.15/0.46 inference(component_clause,[status(thm)],[f487])).
% 0.15/0.46 fof(f490,plain,(
% 0.15/0.46 ~spl0_5|~spl0_6|~spl0_3),
% 0.15/0.46 inference(split_clause,[status(thm)],[f455,f484,f487,f476])).
% 0.15/0.46 fof(f491,plain,(
% 0.15/0.46 spl0_7 <=> ssItem(sk11)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f498,plain,(
% 0.15/0.46 spl0_9 <=> nil=sk3),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f499,plain,(
% 0.15/0.46 nil=sk3|~spl0_9),
% 0.15/0.46 inference(component_clause,[status(thm)],[f498])).
% 0.15/0.46 fof(f501,plain,(
% 0.15/0.46 spl0_7|spl0_9),
% 0.15/0.46 inference(split_clause,[status(thm)],[f457,f491,f498])).
% 0.15/0.46 fof(f502,plain,(
% 0.15/0.46 spl0_10 <=> cons(sk11,nil)=sk3),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f503,plain,(
% 0.15/0.46 cons(sk11,nil)=sk3|~spl0_10),
% 0.15/0.46 inference(component_clause,[status(thm)],[f502])).
% 0.15/0.46 fof(f514,plain,(
% 0.15/0.46 spl0_10|spl0_9),
% 0.15/0.46 inference(split_clause,[status(thm)],[f462,f502,f498])).
% 0.15/0.46 fof(f531,plain,(
% 0.15/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X0,X1))|rearsegP(app(X0,X1),X1))),
% 0.15/0.46 inference(destructive_equality_resolution,[status(esa)],[f368])).
% 0.15/0.46 fof(f532,plain,(
% 0.15/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.15/0.46 inference(destructive_equality_resolution,[status(esa)],[f370])).
% 0.15/0.46 fof(f536,plain,(
% 0.15/0.46 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 0.15/0.46 inference(destructive_equality_resolution,[status(esa)],[f420])).
% 0.15/0.46 fof(f548,plain,(
% 0.15/0.46 nil=sk1|~spl0_9),
% 0.15/0.46 inference(forward_demodulation,[status(thm)],[f445,f499])).
% 0.15/0.46 fof(f555,plain,(
% 0.15/0.46 spl0_13 <=> ssList(sk9)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f557,plain,(
% 0.15/0.46 ~ssList(sk9)|spl0_13),
% 0.15/0.46 inference(component_clause,[status(thm)],[f555])).
% 0.15/0.46 fof(f558,plain,(
% 0.15/0.46 spl0_14 <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f560,plain,(
% 0.15/0.46 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|spl0_14),
% 0.15/0.46 inference(component_clause,[status(thm)],[f558])).
% 0.15/0.46 fof(f561,plain,(
% 0.15/0.46 spl0_15 <=> ssList(nil)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f563,plain,(
% 0.15/0.46 ~ssList(nil)|spl0_15),
% 0.15/0.46 inference(component_clause,[status(thm)],[f561])).
% 0.15/0.46 fof(f566,plain,(
% 0.15/0.46 spl0_16 <=> ssList(cons(sk6,nil))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f568,plain,(
% 0.15/0.46 ~ssList(cons(sk6,nil))|spl0_16),
% 0.15/0.46 inference(component_clause,[status(thm)],[f566])).
% 0.15/0.46 fof(f569,plain,(
% 0.15/0.46 spl0_17 <=> ssList(app(app(sk7,cons(sk5,nil)),sk8))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f571,plain,(
% 0.15/0.46 ~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_17),
% 0.15/0.46 inference(component_clause,[status(thm)],[f569])).
% 0.15/0.46 fof(f572,plain,(
% 0.15/0.46 ~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_14),
% 0.15/0.46 inference(resolution,[status(thm)],[f560,f295])).
% 0.15/0.46 fof(f573,plain,(
% 0.15/0.46 ~spl0_16|~spl0_17|spl0_14),
% 0.15/0.46 inference(split_clause,[status(thm)],[f572,f566,f569,f558])).
% 0.15/0.46 fof(f574,plain,(
% 0.15/0.46 $false|spl0_13),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f557,f450])).
% 0.15/0.46 fof(f575,plain,(
% 0.15/0.46 spl0_13),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f574])).
% 0.15/0.46 fof(f576,plain,(
% 0.15/0.46 spl0_18 <=> ssList(sk8)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f578,plain,(
% 0.15/0.46 ~ssList(sk8)|spl0_18),
% 0.15/0.46 inference(component_clause,[status(thm)],[f576])).
% 0.15/0.46 fof(f579,plain,(
% 0.15/0.46 spl0_19 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f581,plain,(
% 0.15/0.46 ~ssList(app(sk7,cons(sk5,nil)))|spl0_19),
% 0.15/0.46 inference(component_clause,[status(thm)],[f579])).
% 0.15/0.46 fof(f582,plain,(
% 0.15/0.46 ~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|spl0_17),
% 0.15/0.46 inference(resolution,[status(thm)],[f571,f295])).
% 0.15/0.46 fof(f583,plain,(
% 0.15/0.46 ~spl0_18|~spl0_19|spl0_17),
% 0.15/0.46 inference(split_clause,[status(thm)],[f582,f576,f579,f569])).
% 0.15/0.46 fof(f584,plain,(
% 0.15/0.46 $false|spl0_18),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f578,f449])).
% 0.15/0.46 fof(f585,plain,(
% 0.15/0.46 spl0_18),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f584])).
% 0.15/0.46 fof(f586,plain,(
% 0.15/0.46 spl0_20 <=> ssList(cons(sk5,nil))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f588,plain,(
% 0.15/0.46 ~ssList(cons(sk5,nil))|spl0_20),
% 0.15/0.46 inference(component_clause,[status(thm)],[f586])).
% 0.15/0.46 fof(f589,plain,(
% 0.15/0.46 spl0_21 <=> ssList(sk7)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f591,plain,(
% 0.15/0.46 ~ssList(sk7)|spl0_21),
% 0.15/0.46 inference(component_clause,[status(thm)],[f589])).
% 0.15/0.46 fof(f592,plain,(
% 0.15/0.46 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_19),
% 0.15/0.46 inference(resolution,[status(thm)],[f581,f295])).
% 0.15/0.46 fof(f593,plain,(
% 0.15/0.46 ~spl0_20|~spl0_21|spl0_19),
% 0.15/0.46 inference(split_clause,[status(thm)],[f592,f586,f589,f579])).
% 0.15/0.46 fof(f594,plain,(
% 0.15/0.46 $false|spl0_21),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f591,f448])).
% 0.15/0.46 fof(f595,plain,(
% 0.15/0.46 spl0_21),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f594])).
% 0.15/0.46 fof(f596,plain,(
% 0.15/0.46 spl0_22 <=> ssItem(sk5)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f598,plain,(
% 0.15/0.46 ~ssItem(sk5)|spl0_22),
% 0.15/0.46 inference(component_clause,[status(thm)],[f596])).
% 0.15/0.46 fof(f599,plain,(
% 0.15/0.46 ~ssItem(sk5)|~ssList(nil)|spl0_20),
% 0.15/0.46 inference(resolution,[status(thm)],[f296,f588])).
% 0.15/0.46 fof(f600,plain,(
% 0.15/0.46 ~spl0_22|~spl0_15|spl0_20),
% 0.15/0.46 inference(split_clause,[status(thm)],[f599,f596,f561,f586])).
% 0.15/0.46 fof(f601,plain,(
% 0.15/0.46 spl0_23 <=> ssItem(sk6)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f603,plain,(
% 0.15/0.46 ~ssItem(sk6)|spl0_23),
% 0.15/0.46 inference(component_clause,[status(thm)],[f601])).
% 0.15/0.46 fof(f604,plain,(
% 0.15/0.46 ~ssItem(sk6)|~ssList(nil)|spl0_16),
% 0.15/0.46 inference(resolution,[status(thm)],[f296,f568])).
% 0.15/0.46 fof(f605,plain,(
% 0.15/0.46 ~spl0_23|~spl0_15|spl0_16),
% 0.15/0.46 inference(split_clause,[status(thm)],[f604,f601,f561,f566])).
% 0.15/0.46 fof(f606,plain,(
% 0.15/0.46 $false|spl0_22),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f598,f446])).
% 0.15/0.46 fof(f607,plain,(
% 0.15/0.46 spl0_22),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f606])).
% 0.15/0.46 fof(f608,plain,(
% 0.15/0.46 $false|spl0_23),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f603,f447])).
% 0.15/0.46 fof(f609,plain,(
% 0.15/0.46 spl0_23),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f608])).
% 0.15/0.46 fof(f618,plain,(
% 0.15/0.46 cons(sk11,nil)=sk1|~spl0_10),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f445,f503])).
% 0.15/0.46 fof(f623,plain,(
% 0.15/0.46 spl0_25 <=> ssList(sk1)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f642,plain,(
% 0.15/0.46 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|ssList(sk1)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f295])).
% 0.15/0.46 fof(f643,plain,(
% 0.15/0.46 ~spl0_13|~spl0_14|spl0_25),
% 0.15/0.46 inference(split_clause,[status(thm)],[f642,f555,f558,f623])).
% 0.15/0.46 fof(f648,plain,(
% 0.15/0.46 $false|spl0_15),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f217,f563])).
% 0.15/0.46 fof(f649,plain,(
% 0.15/0.46 spl0_15),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f648])).
% 0.15/0.46 fof(f655,plain,(
% 0.15/0.46 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=nil|~spl0_9),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f548,f451])).
% 0.15/0.46 fof(f660,plain,(
% 0.15/0.46 spl0_28 <=> sk6=sk5),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f661,plain,(
% 0.15/0.46 sk6=sk5|~spl0_28),
% 0.15/0.46 inference(component_clause,[status(thm)],[f660])).
% 0.15/0.46 fof(f665,plain,(
% 0.15/0.46 spl0_29 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f668,plain,(
% 0.15/0.46 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.15/0.46 inference(resolution,[status(thm)],[f380,f284])).
% 0.15/0.46 fof(f669,plain,(
% 0.15/0.46 spl0_29|~spl0_15),
% 0.15/0.46 inference(split_clause,[status(thm)],[f668,f665,f561])).
% 0.15/0.46 fof(f672,plain,(
% 0.15/0.46 spl0_30 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f688,plain,(
% 0.15/0.46 spl0_33 <=> ~leq(X0,sk6)|~ssItem(X0)|leq(X0,sk5)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f689,plain,(
% 0.15/0.46 ![X0]: (~leq(X0,sk6)|~ssItem(X0)|leq(X0,sk5)|~spl0_33)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f688])).
% 0.15/0.46 fof(f691,plain,(
% 0.15/0.46 ![X0]: (~leq(X0,sk6)|~ssItem(sk5)|~ssItem(sk6)|~ssItem(X0)|leq(X0,sk5))),
% 0.15/0.46 inference(resolution,[status(thm)],[f392,f452])).
% 0.15/0.46 fof(f692,plain,(
% 0.15/0.46 spl0_33|~spl0_22|~spl0_23),
% 0.15/0.46 inference(split_clause,[status(thm)],[f691,f688,f596,f601])).
% 0.15/0.46 fof(f693,plain,(
% 0.15/0.46 spl0_34 <=> leq(sk6,sk5)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f696,plain,(
% 0.15/0.46 ~ssItem(sk6)|leq(sk6,sk5)|~ssItem(sk6)|~spl0_33),
% 0.15/0.46 inference(resolution,[status(thm)],[f689,f271])).
% 0.15/0.46 fof(f697,plain,(
% 0.15/0.46 ~spl0_23|spl0_34|~spl0_33),
% 0.15/0.46 inference(split_clause,[status(thm)],[f696,f601,f693,f688])).
% 0.15/0.46 fof(f698,plain,(
% 0.15/0.46 spl0_35 <=> ~ssList(app(X0,nil))|~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f701,plain,(
% 0.15/0.46 ![X0]: (~ssList(app(X0,nil))|~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.46 inference(resolution,[status(thm)],[f283,f382])).
% 0.15/0.46 fof(f702,plain,(
% 0.15/0.46 spl0_35|~spl0_15),
% 0.15/0.46 inference(split_clause,[status(thm)],[f701,f698,f561])).
% 0.15/0.46 fof(f706,plain,(
% 0.15/0.46 spl0_36 <=> nil=nil),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f709,plain,(
% 0.15/0.46 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.46 inference(resolution,[status(thm)],[f337,f284])).
% 0.15/0.46 fof(f710,plain,(
% 0.15/0.46 ~spl0_15|spl0_36),
% 0.15/0.46 inference(split_clause,[status(thm)],[f709,f561,f706])).
% 0.15/0.46 fof(f717,plain,(
% 0.15/0.46 spl0_37 <=> ~ssItem(X0)|~ssItem(X0)|X0=X0),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f720,plain,(
% 0.15/0.46 spl0_38 <=> ~ssList(X1)|~ssList(X1)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f721,plain,(
% 0.15/0.46 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_38)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f720])).
% 0.15/0.46 fof(f723,plain,(
% 0.15/0.46 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X0=X0)),
% 0.15/0.46 inference(equality_resolution,[status(esa)],[f411])).
% 0.15/0.46 fof(f724,plain,(
% 0.15/0.46 spl0_37|spl0_38),
% 0.15/0.46 inference(split_clause,[status(thm)],[f723,f717,f720])).
% 0.15/0.46 fof(f725,plain,(
% 0.15/0.46 spl0_39 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f726,plain,(
% 0.15/0.46 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_39)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f725])).
% 0.15/0.46 fof(f728,plain,(
% 0.15/0.46 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X1=X1)),
% 0.15/0.46 inference(equality_resolution,[status(esa)],[f413])).
% 0.15/0.46 fof(f729,plain,(
% 0.15/0.46 spl0_39|spl0_30),
% 0.15/0.46 inference(split_clause,[status(thm)],[f728,f725,f672])).
% 0.15/0.46 fof(f732,plain,(
% 0.15/0.46 spl0_40 <=> nil=sk9),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f733,plain,(
% 0.15/0.46 nil=sk9|~spl0_40),
% 0.15/0.46 inference(component_clause,[status(thm)],[f732])).
% 0.15/0.46 fof(f735,plain,(
% 0.15/0.46 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|nil=sk9|~spl0_9),
% 0.15/0.46 inference(resolution,[status(thm)],[f655,f339])).
% 0.15/0.46 fof(f736,plain,(
% 0.15/0.46 ~spl0_13|~spl0_14|spl0_40|~spl0_9),
% 0.15/0.46 inference(split_clause,[status(thm)],[f735,f555,f558,f732,f498])).
% 0.15/0.46 fof(f752,plain,(
% 0.15/0.46 spl0_44 <=> ~memberP(sk9,X0)|~ssItem(X0)|memberP(nil,X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f753,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk9,X0)|~ssItem(X0)|memberP(nil,X0)|~spl0_44)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f752])).
% 0.15/0.46 fof(f755,plain,(
% 0.15/0.46 ![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)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f655,f365])).
% 0.15/0.46 fof(f756,plain,(
% 0.15/0.46 spl0_44|~spl0_13|~spl0_14|~spl0_9),
% 0.15/0.46 inference(split_clause,[status(thm)],[f755,f752,f555,f558,f498])).
% 0.15/0.46 fof(f787,plain,(
% 0.15/0.46 spl0_49 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f790,plain,(
% 0.15/0.46 ~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))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f378])).
% 0.15/0.46 fof(f791,plain,(
% 0.15/0.46 ~spl0_13|~spl0_16|~spl0_17|spl0_49),
% 0.15/0.46 inference(split_clause,[status(thm)],[f790,f555,f566,f569,f787])).
% 0.15/0.46 fof(f792,plain,(
% 0.15/0.46 spl0_50 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk9,X0)|memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f793,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk9,X0)|memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~spl0_50)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f792])).
% 0.15/0.46 fof(f795,plain,(
% 0.15/0.46 ![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))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f395])).
% 0.15/0.46 fof(f796,plain,(
% 0.15/0.46 spl0_50|~spl0_13|~spl0_14),
% 0.15/0.46 inference(split_clause,[status(thm)],[f795,f792,f555,f558])).
% 0.15/0.46 fof(f797,plain,(
% 0.15/0.46 spl0_51 <=> ~memberP(sk9,X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f800,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk9,X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f365])).
% 0.15/0.46 fof(f801,plain,(
% 0.15/0.46 spl0_51|~spl0_13|~spl0_14),
% 0.15/0.46 inference(split_clause,[status(thm)],[f800,f797,f555,f558])).
% 0.15/0.46 fof(f802,plain,(
% 0.15/0.46 spl0_52 <=> ~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f803,plain,(
% 0.15/0.46 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_52)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f802])).
% 0.15/0.46 fof(f805,plain,(
% 0.15/0.46 ![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))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f364])).
% 0.15/0.46 fof(f806,plain,(
% 0.15/0.46 spl0_52|~spl0_13|~spl0_14),
% 0.15/0.46 inference(split_clause,[status(thm)],[f805,f802,f555,f558])).
% 0.15/0.46 fof(f814,plain,(
% 0.15/0.46 spl0_54 <=> ~ssList(X0)|app(sk1,X0)=app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),app(sk9,X0))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f817,plain,(
% 0.15/0.46 ![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)))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f378])).
% 0.15/0.46 fof(f818,plain,(
% 0.15/0.46 spl0_54|~spl0_13|~spl0_14),
% 0.15/0.46 inference(split_clause,[status(thm)],[f817,f814,f555,f558])).
% 0.15/0.46 fof(f819,plain,(
% 0.15/0.46 spl0_55 <=> ~app(X0,sk9)=sk1|~ssList(X0)|X0=app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f822,plain,(
% 0.15/0.46 ![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)))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f382])).
% 0.15/0.46 fof(f823,plain,(
% 0.15/0.46 spl0_55|~spl0_13|~spl0_14),
% 0.15/0.46 inference(split_clause,[status(thm)],[f822,f819,f555,f558])).
% 0.15/0.46 fof(f826,plain,(
% 0.15/0.46 spl0_56 <=> ~app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)=sk1|~ssList(X0)|X0=sk9),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f829,plain,(
% 0.15/0.46 ![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)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f380])).
% 0.15/0.46 fof(f830,plain,(
% 0.15/0.46 spl0_56|~spl0_14|~spl0_13),
% 0.15/0.46 inference(split_clause,[status(thm)],[f829,f826,f558,f555])).
% 0.15/0.46 fof(f861,plain,(
% 0.15/0.46 spl0_61 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk11),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f862,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk11|~spl0_61)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f861])).
% 0.15/0.46 fof(f864,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk11)|~ssItem(X0)|memberP(nil,X0)|X0=sk11|~spl0_10)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f618,f401])).
% 0.15/0.46 fof(f865,plain,(
% 0.15/0.46 spl0_61|~spl0_15|~spl0_7|~spl0_10),
% 0.15/0.46 inference(split_clause,[status(thm)],[f864,f861,f561,f491,f502])).
% 0.15/0.46 fof(f888,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk11|~spl0_61)),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f862,f280])).
% 0.15/0.46 fof(f918,plain,(
% 0.15/0.46 spl0_66 <=> geq(sk5,sk6)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f921,plain,(
% 0.15/0.46 ~ssItem(sk6)|~ssItem(sk5)|geq(sk5,sk6)),
% 0.15/0.46 inference(resolution,[status(thm)],[f320,f452])).
% 0.15/0.46 fof(f922,plain,(
% 0.15/0.46 ~spl0_23|~spl0_22|spl0_66),
% 0.15/0.46 inference(split_clause,[status(thm)],[f921,f601,f596,f918])).
% 0.15/0.46 fof(f939,plain,(
% 0.15/0.46 ~leq(sk5,sk5)|~spl0_28|spl0_3),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f661,f478])).
% 0.15/0.46 fof(f942,plain,(
% 0.15/0.46 ~ssItem(sk5)|~spl0_28|spl0_3),
% 0.15/0.46 inference(resolution,[status(thm)],[f939,f271])).
% 0.15/0.46 fof(f943,plain,(
% 0.15/0.46 ~spl0_22|~spl0_28|spl0_3),
% 0.15/0.46 inference(split_clause,[status(thm)],[f942,f596,f660,f476])).
% 0.15/0.46 fof(f954,plain,(
% 0.15/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|rearsegP(app(X0,X1),X1))),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f531,f295])).
% 0.15/0.46 fof(f955,plain,(
% 0.15/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f532,f295])).
% 0.15/0.46 fof(f990,plain,(
% 0.15/0.46 spl0_71 <=> frontsegP(sk1,app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f993,plain,(
% 0.15/0.46 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|frontsegP(sk1,app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f955])).
% 0.15/0.46 fof(f994,plain,(
% 0.15/0.46 ~spl0_13|~spl0_14|spl0_71),
% 0.15/0.46 inference(split_clause,[status(thm)],[f993,f555,f558,f990])).
% 0.15/0.46 fof(f995,plain,(
% 0.15/0.46 spl0_72 <=> rearsegP(sk1,sk9)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f998,plain,(
% 0.15/0.46 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssList(sk9)|rearsegP(sk1,sk9)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f451,f954])).
% 0.15/0.46 fof(f999,plain,(
% 0.15/0.46 ~spl0_14|~spl0_13|spl0_72),
% 0.15/0.46 inference(split_clause,[status(thm)],[f998,f558,f555,f995])).
% 0.15/0.46 fof(f1036,plain,(
% 0.15/0.46 spl0_74 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk9,X0)|~ssItem(X0)|memberP(cons(sk6,nil),X0)|memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1039,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk9,X0)|~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|~ssItem(X0)|memberP(cons(sk6,nil),X0)|memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)|~spl0_50)),
% 0.15/0.46 inference(resolution,[status(thm)],[f793,f395])).
% 0.15/0.46 fof(f1040,plain,(
% 0.15/0.46 spl0_74|~spl0_16|~spl0_17|~spl0_50),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1039,f1036,f566,f569,f792])).
% 0.15/0.46 fof(f1042,plain,(
% 0.15/0.46 spl0_75 <=> memberP(sk1,sk6)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1043,plain,(
% 0.15/0.46 memberP(sk1,sk6)|~spl0_75),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1042])).
% 0.15/0.46 fof(f1045,plain,(
% 0.15/0.46 ~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_52),
% 0.15/0.46 inference(resolution,[status(thm)],[f803,f536])).
% 0.15/0.46 fof(f1046,plain,(
% 0.15/0.46 ~spl0_23|spl0_75|~spl0_15|~spl0_17|~spl0_14|~spl0_52),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1045,f601,f1042,f561,f569,f558,f802])).
% 0.15/0.46 fof(f1047,plain,(
% 0.15/0.46 spl0_76 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssItem(X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1050,plain,(
% 0.15/0.46 ![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_52)),
% 0.15/0.46 inference(resolution,[status(thm)],[f803,f365])).
% 0.15/0.46 fof(f1051,plain,(
% 0.15/0.46 spl0_76|~spl0_16|~spl0_17|~spl0_52),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1050,f1047,f566,f569,f802])).
% 0.15/0.46 fof(f1052,plain,(
% 0.15/0.46 spl0_77 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)|~ssItem(X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1055,plain,(
% 0.15/0.46 ![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_52)),
% 0.15/0.46 inference(resolution,[status(thm)],[f803,f364])).
% 0.15/0.46 fof(f1056,plain,(
% 0.15/0.46 spl0_77|~spl0_16|~spl0_17|~spl0_52),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1055,f1052,f566,f569,f802])).
% 0.15/0.46 fof(f1059,plain,(
% 0.15/0.46 spl0_78 <=> sk6=sk11),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1060,plain,(
% 0.15/0.46 sk6=sk11|~spl0_78),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1059])).
% 0.15/0.46 fof(f1062,plain,(
% 0.15/0.46 ~ssItem(sk6)|sk6=sk11|~spl0_75|~spl0_61),
% 0.15/0.46 inference(resolution,[status(thm)],[f1043,f888])).
% 0.15/0.46 fof(f1063,plain,(
% 0.15/0.46 ~spl0_23|spl0_78|~spl0_75|~spl0_61),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1062,f601,f1059,f1042,f861])).
% 0.15/0.46 fof(f1069,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_78|~spl0_61)),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f1060,f888])).
% 0.15/0.46 fof(f1070,plain,(
% 0.15/0.46 cons(sk6,nil)=sk1|~spl0_78|~spl0_10),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f1060,f618])).
% 0.15/0.46 fof(f1111,plain,(
% 0.15/0.46 app(app(app(app(sk7,cons(sk5,nil)),sk8),sk1),sk9)=sk1|~spl0_78|~spl0_10),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f1070,f451])).
% 0.15/0.46 fof(f1165,plain,(
% 0.15/0.46 spl0_89 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1166,plain,(
% 0.15/0.46 sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))|~spl0_89),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1165])).
% 0.15/0.46 fof(f1168,plain,(
% 0.15/0.46 ~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_78|~spl0_10),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f1111,f378])).
% 0.15/0.46 fof(f1169,plain,(
% 0.15/0.46 ~spl0_13|~spl0_25|~spl0_17|spl0_89|~spl0_78|~spl0_10),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1168,f555,f623,f569,f1165,f1059,f502])).
% 0.15/0.46 fof(f1170,plain,(
% 0.15/0.46 spl0_90 <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),sk1))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1172,plain,(
% 0.15/0.46 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),sk1))|spl0_90),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1170])).
% 0.15/0.46 fof(f1257,plain,(
% 0.15/0.46 ~ssList(sk1)|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_90),
% 0.15/0.46 inference(resolution,[status(thm)],[f1172,f295])).
% 0.15/0.46 fof(f1258,plain,(
% 0.15/0.46 ~spl0_25|~spl0_17|spl0_90),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1257,f623,f569,f1170])).
% 0.15/0.46 fof(f1260,plain,(
% 0.15/0.46 spl0_104 <=> ssList(app(sk1,sk9))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1262,plain,(
% 0.15/0.46 ~ssList(app(sk1,sk9))|spl0_104),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1260])).
% 0.15/0.46 fof(f1263,plain,(
% 0.15/0.46 spl0_105 <=> sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1264,plain,(
% 0.15/0.46 sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_105),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1263])).
% 0.15/0.46 fof(f1266,plain,(
% 0.15/0.46 ~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_89),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f1166,f378])).
% 0.15/0.46 fof(f1267,plain,(
% 0.15/0.46 ~spl0_104|~spl0_18|~spl0_19|spl0_105|~spl0_89),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1266,f1260,f576,f579,f1263,f1165])).
% 0.15/0.46 fof(f1321,plain,(
% 0.15/0.46 ~ssList(sk9)|~ssList(sk1)|spl0_104),
% 0.15/0.46 inference(resolution,[status(thm)],[f1262,f295])).
% 0.15/0.46 fof(f1322,plain,(
% 0.15/0.46 ~spl0_13|~spl0_25|spl0_104),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1321,f555,f623,f1260])).
% 0.15/0.46 fof(f1334,plain,(
% 0.15/0.46 spl0_117 <=> ssList(app(sk8,app(sk1,sk9)))),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1336,plain,(
% 0.15/0.46 ~ssList(app(sk8,app(sk1,sk9)))|spl0_117),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1334])).
% 0.15/0.46 fof(f1357,plain,(
% 0.15/0.46 spl0_122 <=> ~memberP(app(sk8,app(sk1,sk9)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1358,plain,(
% 0.15/0.46 ![X0]: (~memberP(app(sk8,app(sk1,sk9)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_122)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1357])).
% 0.15/0.46 fof(f1360,plain,(
% 0.15/0.46 ![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)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f1264,f365])).
% 0.15/0.46 fof(f1361,plain,(
% 0.15/0.46 spl0_122|~spl0_117|~spl0_19|~spl0_105),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1360,f1357,f1334,f579,f1263])).
% 0.15/0.46 fof(f1362,plain,(
% 0.15/0.46 spl0_123 <=> ~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1363,plain,(
% 0.15/0.46 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_123)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1362])).
% 0.15/0.46 fof(f1365,plain,(
% 0.15/0.46 ![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)),
% 0.15/0.46 inference(paramodulation,[status(thm)],[f1264,f364])).
% 0.15/0.46 fof(f1366,plain,(
% 0.15/0.46 spl0_123|~spl0_117|~spl0_19|~spl0_105),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1365,f1362,f1334,f579,f1263])).
% 0.15/0.46 fof(f1398,plain,(
% 0.15/0.46 ~ssList(app(sk1,sk9))|~ssList(sk8)|spl0_117),
% 0.15/0.46 inference(resolution,[status(thm)],[f1336,f295])).
% 0.15/0.46 fof(f1399,plain,(
% 0.15/0.46 ~spl0_104|~spl0_18|spl0_117),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1398,f1260,f576,f1334])).
% 0.15/0.46 fof(f1426,plain,(
% 0.15/0.46 spl0_132 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~ssItem(X0)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1427,plain,(
% 0.15/0.46 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~ssItem(X0)|~spl0_132)),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1426])).
% 0.15/0.46 fof(f1429,plain,(
% 0.15/0.46 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~ssList(app(sk1,sk9))|~ssList(sk8)|~ssItem(X0)|~spl0_122)),
% 0.15/0.46 inference(resolution,[status(thm)],[f1358,f364])).
% 0.15/0.46 fof(f1430,plain,(
% 0.15/0.46 spl0_132|~spl0_104|~spl0_18|~spl0_122),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1429,f1426,f1260,f576,f1357])).
% 0.15/0.46 fof(f1431,plain,(
% 0.15/0.46 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(sk8,X0)|~spl0_132)),
% 0.15/0.46 inference(duplicate_literals_removal,[status(esa)],[f1427])).
% 0.15/0.46 fof(f1432,plain,(
% 0.15/0.46 spl0_133 <=> memberP(sk1,sk5)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1433,plain,(
% 0.15/0.46 memberP(sk1,sk5)|~spl0_133),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1432])).
% 0.15/0.46 fof(f1435,plain,(
% 0.15/0.46 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~ssList(app(sk7,cons(sk5,nil)))|~spl0_123),
% 0.15/0.46 inference(resolution,[status(thm)],[f1363,f536])).
% 0.15/0.46 fof(f1436,plain,(
% 0.15/0.46 ~spl0_22|spl0_133|~spl0_15|~spl0_21|~spl0_19|~spl0_123),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1435,f596,f1432,f561,f589,f579,f1362])).
% 0.15/0.46 fof(f1449,plain,(
% 0.15/0.46 ~ssItem(sk5)|sk5=sk6|~spl0_133|~spl0_78|~spl0_61),
% 0.15/0.46 inference(resolution,[status(thm)],[f1433,f1069])).
% 0.15/0.46 fof(f1450,plain,(
% 0.15/0.46 ~spl0_22|spl0_28|~spl0_133|~spl0_78|~spl0_61),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1449,f596,f660,f1432,f1059,f861])).
% 0.15/0.46 fof(f1460,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk5|~spl0_28|~spl0_78|~spl0_61)),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f661,f1069])).
% 0.15/0.46 fof(f1471,plain,(
% 0.15/0.46 spl0_136 <=> memberP(sk1,sk10)),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1472,plain,(
% 0.15/0.46 memberP(sk1,sk10)|~spl0_136),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1471])).
% 0.15/0.46 fof(f1474,plain,(
% 0.15/0.46 ~ssItem(sk10)|memberP(sk1,sk10)|~spl0_4|~spl0_132),
% 0.15/0.46 inference(resolution,[status(thm)],[f481,f1431])).
% 0.15/0.46 fof(f1475,plain,(
% 0.15/0.46 ~spl0_2|spl0_136|~spl0_4|~spl0_132),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1474,f473,f1471,f480,f1426])).
% 0.15/0.46 fof(f1476,plain,(
% 0.15/0.46 leq(sk5,sk5)|~spl0_28|~spl0_3),
% 0.15/0.46 inference(forward_demodulation,[status(thm)],[f661,f477])).
% 0.15/0.46 fof(f1500,plain,(
% 0.15/0.46 spl0_142 <=> sk10=sk5),
% 0.15/0.46 introduced(split_symbol_definition)).
% 0.15/0.46 fof(f1501,plain,(
% 0.15/0.46 sk10=sk5|~spl0_142),
% 0.15/0.46 inference(component_clause,[status(thm)],[f1500])).
% 0.15/0.46 fof(f1503,plain,(
% 0.15/0.46 ~ssItem(sk10)|sk10=sk5|~spl0_28|~spl0_78|~spl0_61|~spl0_136),
% 0.15/0.46 inference(resolution,[status(thm)],[f1460,f1472])).
% 0.15/0.46 fof(f1504,plain,(
% 0.15/0.46 ~spl0_2|spl0_142|~spl0_28|~spl0_78|~spl0_61|~spl0_136),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1503,f473,f1500,f660,f1059,f861,f1471])).
% 0.15/0.46 fof(f1508,plain,(
% 0.15/0.46 ~leq(sk5,sk5)|~spl0_142|spl0_5),
% 0.15/0.46 inference(backward_demodulation,[status(thm)],[f1501,f486])).
% 0.15/0.46 fof(f1509,plain,(
% 0.15/0.46 $false|~spl0_28|~spl0_3|~spl0_142|spl0_5),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1508,f1476])).
% 0.15/0.46 fof(f1510,plain,(
% 0.15/0.46 ~spl0_28|~spl0_3|~spl0_142|spl0_5),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f1509])).
% 0.15/0.46 fof(f1512,plain,(
% 0.15/0.46 ~leq(sk5,sk6)|~spl0_142|spl0_6),
% 0.15/0.46 inference(forward_demodulation,[status(thm)],[f1501,f489])).
% 0.15/0.46 fof(f1513,plain,(
% 0.15/0.46 ~leq(sk5,sk5)|~spl0_28|~spl0_142|spl0_6),
% 0.15/0.46 inference(forward_demodulation,[status(thm)],[f661,f1512])).
% 0.15/0.46 fof(f1514,plain,(
% 0.15/0.46 $false|~spl0_3|~spl0_28|~spl0_142|spl0_6),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1513,f1476])).
% 0.15/0.46 fof(f1515,plain,(
% 0.15/0.46 ~spl0_3|~spl0_28|~spl0_142|spl0_6),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f1514])).
% 0.15/0.46 fof(f1519,plain,(
% 0.15/0.46 ![X0]: (~memberP(sk9,X0)|~ssItem(X0)|~spl0_44)),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f753,f280])).
% 0.15/0.46 fof(f1589,plain,(
% 0.15/0.46 memberP(nil,sk6)|~spl0_9|~spl0_75),
% 0.15/0.46 inference(forward_demodulation,[status(thm)],[f548,f1043])).
% 0.15/0.46 fof(f1714,plain,(
% 0.15/0.46 ![X0]: (~ssItem(X0)|~spl0_39)),
% 0.15/0.46 inference(duplicate_literals_removal,[status(esa)],[f726])).
% 0.15/0.46 fof(f1715,plain,(
% 0.15/0.46 ![X0]: (~ssList(X0)|~spl0_38)),
% 0.15/0.46 inference(duplicate_literals_removal,[status(esa)],[f721])).
% 0.15/0.46 fof(f1716,plain,(
% 0.15/0.46 $false|~spl0_39),
% 0.15/0.46 inference(backward_subsumption_resolution,[status(thm)],[f447,f1714])).
% 0.15/0.46 fof(f1717,plain,(
% 0.15/0.46 ~spl0_39),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f1716])).
% 0.15/0.46 fof(f1718,plain,(
% 0.15/0.46 $false|~spl0_38),
% 0.15/0.46 inference(backward_subsumption_resolution,[status(thm)],[f242,f1715])).
% 0.15/0.46 fof(f1719,plain,(
% 0.15/0.46 ~spl0_38),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f1718])).
% 0.15/0.46 fof(f1733,plain,(
% 0.15/0.46 ![X0]: (~memberP(nil,X0)|~ssItem(X0)|~spl0_40|~spl0_44)),
% 0.15/0.46 inference(forward_demodulation,[status(thm)],[f733,f1519])).
% 0.15/0.46 fof(f1734,plain,(
% 0.15/0.46 ~ssItem(sk6)|~spl0_40|~spl0_44|~spl0_9|~spl0_75),
% 0.15/0.46 inference(resolution,[status(thm)],[f1733,f1589])).
% 0.15/0.46 fof(f1735,plain,(
% 0.15/0.46 ~spl0_23|~spl0_40|~spl0_44|~spl0_9|~spl0_75),
% 0.15/0.46 inference(split_clause,[status(thm)],[f1734,f601,f732,f752,f498,f1042])).
% 0.15/0.46 fof(f1736,plain,(
% 0.15/0.46 $false),
% 0.15/0.46 inference(sat_refutation,[status(thm)],[f479,f483,f490,f501,f514,f573,f575,f583,f585,f593,f595,f600,f605,f607,f609,f643,f649,f669,f692,f697,f702,f710,f724,f729,f736,f756,f791,f796,f801,f806,f818,f823,f830,f865,f922,f943,f994,f999,f1040,f1046,f1051,f1056,f1063,f1169,f1258,f1267,f1322,f1361,f1366,f1399,f1430,f1436,f1450,f1475,f1504,f1510,f1515,f1717,f1719,f1735])).
% 0.15/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.47 % Elapsed time: 0.157360 seconds
% 0.15/0.47 % CPU time: 1.092339 seconds
% 0.15/0.47 % Total memory used: 81.270 MB
% 0.15/0.47 % Net memory used: 80.373 MB
%------------------------------------------------------------------------------