TSTP Solution File: SWC377-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC377-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:33 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC377-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 23:58:18 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f8,axiom,(
% 0.19/0.48 ssList(nil) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f71,axiom,(
% 0.19/0.48 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f73,axiom,(
% 0.19/0.48 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f74,axiom,(
% 0.19/0.48 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f85,axiom,(
% 0.19/0.48 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f86,axiom,(
% 0.19/0.48 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f98,axiom,(
% 0.19/0.48 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f99,axiom,(
% 0.19/0.48 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f100,axiom,(
% 0.19/0.48 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f118,axiom,(
% 0.19/0.48 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f119,axiom,(
% 0.19/0.48 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f120,axiom,(
% 0.19/0.48 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f138,axiom,(
% 0.19/0.48 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f139,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssItem(W)| ~ ssItem(V)| memberP(cons(W,U),V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f140,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f141,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f145,axiom,(
% 0.19/0.48 (![U,V]: (( nil != U| nil != V| ~ ssList(V)| ~ ssList(U)| app(U,V) = nil ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f149,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f150,axiom,(
% 0.19/0.48 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f151,axiom,(
% 0.19/0.48 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f157,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ ssItem(U)| ~ ssList(V)| ~ ssList(W)| cons(U,app(V,W)) = app(cons(U,V),W) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f158,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ memberP(app(U,V),W)| ~ ssList(V)| ~ ssList(U)| ~ ssItem(W)| memberP(V,W)| memberP(U,W) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f161,axiom,(
% 0.19/0.48 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f170,axiom,(
% 0.19/0.48 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f171,axiom,(
% 0.19/0.48 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f175,axiom,(
% 0.19/0.48 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f186,negated_conjecture,(
% 0.19/0.48 ssList(sk1) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f187,negated_conjecture,(
% 0.19/0.48 ssList(sk2) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f190,negated_conjecture,(
% 0.19/0.48 sk2 = sk4 ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f191,negated_conjecture,(
% 0.19/0.48 sk1 = sk3 ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f192,negated_conjecture,(
% 0.19/0.48 ssItem(sk5) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f193,negated_conjecture,(
% 0.19/0.48 ( memberP(sk2,sk5)| memberP(sk1,sk5) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f194,negated_conjecture,(
% 0.19/0.48 ( ~ memberP(sk2,sk5)| ~ memberP(sk1,sk5) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f195,negated_conjecture,(
% 0.19/0.48 ( nil = sk3| nil != sk4 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f196,negated_conjecture,(
% 0.19/0.48 ( ssItem(sk6)| ~ neq(sk4,nil) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f197,negated_conjecture,(
% 0.19/0.48 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f198,negated_conjecture,(
% 0.19/0.48 ( app(cons(sk6,nil),sk7) = sk3| ~ neq(sk4,nil) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f199,negated_conjecture,(
% 0.19/0.48 ( app(sk7,cons(sk6,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f207,plain,(
% 0.19/0.48 ssList(nil)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.48 fof(f270,plain,(
% 0.19/0.48 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f71])).
% 0.19/0.48 fof(f273,plain,(
% 0.19/0.48 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f73])).
% 0.19/0.48 fof(f274,plain,(
% 0.19/0.48 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f74])).
% 0.19/0.48 fof(f285,plain,(
% 0.19/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f85])).
% 0.19/0.48 fof(f286,plain,(
% 0.19/0.48 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f86])).
% 0.19/0.48 fof(f298,plain,(
% 0.19/0.48 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f98])).
% 0.19/0.48 fof(f299,plain,(
% 0.19/0.48 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f298])).
% 0.19/0.48 fof(f300,plain,(
% 0.19/0.48 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f99])).
% 0.19/0.48 fof(f301,plain,(
% 0.19/0.48 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f300])).
% 0.19/0.48 fof(f302,plain,(
% 0.19/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f100])).
% 0.19/0.48 fof(f326,plain,(
% 0.19/0.48 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f118])).
% 0.19/0.48 fof(f327,plain,(
% 0.19/0.48 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f326])).
% 0.19/0.48 fof(f328,plain,(
% 0.19/0.48 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f119])).
% 0.19/0.48 fof(f329,plain,(
% 0.19/0.48 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f328])).
% 0.19/0.48 fof(f330,plain,(
% 0.19/0.48 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f120])).
% 0.19/0.48 fof(f352,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f138])).
% 0.19/0.48 fof(f353,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssItem(X2)|~ssItem(X1)|memberP(cons(X2,X0),X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f139])).
% 0.19/0.48 fof(f354,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.48 fof(f355,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f141])).
% 0.19/0.48 fof(f361,plain,(
% 0.19/0.48 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|app(X0,X1)=nil)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f145])).
% 0.19/0.48 fof(f368,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f149])).
% 0.19/0.48 fof(f369,plain,(
% 0.19/0.48 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f150])).
% 0.19/0.48 fof(f370,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.48 fof(f371,plain,(
% 0.19/0.48 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f151])).
% 0.19/0.48 fof(f372,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f371])).
% 0.19/0.48 fof(f383,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|cons(X0,app(X1,X2))=app(cons(X0,X1),X2))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f157])).
% 0.19/0.48 fof(f384,plain,(
% 0.19/0.48 ![U,W]: ((![V]: ((((~memberP(app(U,V),W)|~ssList(V))|~ssList(U))|~ssItem(W))|memberP(V,W)))|memberP(U,W))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f158])).
% 0.19/0.48 fof(f385,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~memberP(app(X0,X1),X2)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|memberP(X1,X2)|memberP(X0,X2))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f384])).
% 0.19/0.48 fof(f390,plain,(
% 0.19/0.48 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f161])).
% 0.19/0.48 fof(f391,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f390])).
% 0.19/0.48 fof(f400,plain,(
% 0.19/0.48 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f170])).
% 0.19/0.48 fof(f401,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f400])).
% 0.19/0.48 fof(f402,plain,(
% 0.19/0.48 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f171])).
% 0.19/0.48 fof(f403,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f402])).
% 0.19/0.48 fof(f409,plain,(
% 0.19/0.48 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f175])).
% 0.19/0.48 fof(f410,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f409])).
% 0.19/0.48 fof(f430,plain,(
% 0.19/0.48 ssList(sk1)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f186])).
% 0.19/0.48 fof(f431,plain,(
% 0.19/0.48 ssList(sk2)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f187])).
% 0.19/0.48 fof(f434,plain,(
% 0.19/0.48 sk2=sk4),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f190])).
% 0.19/0.48 fof(f435,plain,(
% 0.19/0.48 sk1=sk3),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f191])).
% 0.19/0.48 fof(f436,plain,(
% 0.19/0.48 ssItem(sk5)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.48 fof(f437,plain,(
% 0.19/0.48 memberP(sk2,sk5)|memberP(sk1,sk5)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f193])).
% 0.19/0.48 fof(f438,plain,(
% 0.19/0.48 ~memberP(sk2,sk5)|~memberP(sk1,sk5)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f194])).
% 0.19/0.48 fof(f439,plain,(
% 0.19/0.48 nil=sk3|~nil=sk4),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f195])).
% 0.19/0.48 fof(f440,plain,(
% 0.19/0.48 ssItem(sk6)|~neq(sk4,nil)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.48 fof(f441,plain,(
% 0.19/0.48 ssList(sk7)|~neq(sk4,nil)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f197])).
% 0.19/0.48 fof(f442,plain,(
% 0.19/0.48 app(cons(sk6,nil),sk7)=sk3|~neq(sk4,nil)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.48 fof(f443,plain,(
% 0.19/0.48 app(sk7,cons(sk6,nil))=sk4|~neq(sk4,nil)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f199])).
% 0.19/0.48 fof(f451,plain,(
% 0.19/0.48 spl0_2 <=> memberP(sk2,sk5)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f452,plain,(
% 0.19/0.48 memberP(sk2,sk5)|~spl0_2),
% 0.19/0.48 inference(component_clause,[status(thm)],[f451])).
% 0.19/0.48 fof(f453,plain,(
% 0.19/0.48 ~memberP(sk2,sk5)|spl0_2),
% 0.19/0.48 inference(component_clause,[status(thm)],[f451])).
% 0.19/0.48 fof(f454,plain,(
% 0.19/0.48 spl0_3 <=> memberP(sk1,sk5)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f455,plain,(
% 0.19/0.48 memberP(sk1,sk5)|~spl0_3),
% 0.19/0.48 inference(component_clause,[status(thm)],[f454])).
% 0.19/0.48 fof(f457,plain,(
% 0.19/0.48 spl0_2|spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f437,f451,f454])).
% 0.19/0.48 fof(f458,plain,(
% 0.19/0.48 ~spl0_2|~spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f438,f451,f454])).
% 0.19/0.48 fof(f459,plain,(
% 0.19/0.48 spl0_4 <=> nil=sk3),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f460,plain,(
% 0.19/0.48 nil=sk3|~spl0_4),
% 0.19/0.48 inference(component_clause,[status(thm)],[f459])).
% 0.19/0.48 fof(f462,plain,(
% 0.19/0.48 spl0_5 <=> nil=sk4),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f464,plain,(
% 0.19/0.48 ~nil=sk4|spl0_5),
% 0.19/0.48 inference(component_clause,[status(thm)],[f462])).
% 0.19/0.48 fof(f465,plain,(
% 0.19/0.48 spl0_4|~spl0_5),
% 0.19/0.48 inference(split_clause,[status(thm)],[f439,f459,f462])).
% 0.19/0.48 fof(f466,plain,(
% 0.19/0.48 spl0_6 <=> ssItem(sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f469,plain,(
% 0.19/0.48 spl0_7 <=> neq(sk4,nil)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f471,plain,(
% 0.19/0.48 ~neq(sk4,nil)|spl0_7),
% 0.19/0.48 inference(component_clause,[status(thm)],[f469])).
% 0.19/0.48 fof(f472,plain,(
% 0.19/0.48 spl0_6|~spl0_7),
% 0.19/0.48 inference(split_clause,[status(thm)],[f440,f466,f469])).
% 0.19/0.48 fof(f473,plain,(
% 0.19/0.48 spl0_8 <=> ssList(sk7)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f476,plain,(
% 0.19/0.48 spl0_8|~spl0_7),
% 0.19/0.48 inference(split_clause,[status(thm)],[f441,f473,f469])).
% 0.19/0.48 fof(f477,plain,(
% 0.19/0.48 spl0_9 <=> app(cons(sk6,nil),sk7)=sk3),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f478,plain,(
% 0.19/0.48 app(cons(sk6,nil),sk7)=sk3|~spl0_9),
% 0.19/0.48 inference(component_clause,[status(thm)],[f477])).
% 0.19/0.48 fof(f480,plain,(
% 0.19/0.48 spl0_9|~spl0_7),
% 0.19/0.48 inference(split_clause,[status(thm)],[f442,f477,f469])).
% 0.19/0.48 fof(f481,plain,(
% 0.19/0.48 spl0_10 <=> app(sk7,cons(sk6,nil))=sk4),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f482,plain,(
% 0.19/0.48 app(sk7,cons(sk6,nil))=sk4|~spl0_10),
% 0.19/0.48 inference(component_clause,[status(thm)],[f481])).
% 0.19/0.48 fof(f484,plain,(
% 0.19/0.48 spl0_10|~spl0_7),
% 0.19/0.48 inference(split_clause,[status(thm)],[f443,f481,f469])).
% 0.19/0.48 fof(f491,plain,(
% 0.19/0.48 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 0.19/0.48 inference(destructive_equality_resolution,[status(esa)],[f352])).
% 0.19/0.48 fof(f492,plain,(
% 0.19/0.48 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 0.19/0.48 inference(duplicate_literals_removal,[status(esa)],[f491])).
% 0.19/0.48 fof(f496,plain,(
% 0.19/0.48 ~neq(sk2,nil)|spl0_7),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f434,f471])).
% 0.19/0.48 fof(f498,plain,(
% 0.19/0.48 ~nil=sk2|spl0_5),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f434,f464])).
% 0.19/0.48 fof(f499,plain,(
% 0.19/0.48 spl0_11 <=> ssList(nil)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f501,plain,(
% 0.19/0.48 ~ssList(nil)|spl0_11),
% 0.19/0.48 inference(component_clause,[status(thm)],[f499])).
% 0.19/0.48 fof(f502,plain,(
% 0.19/0.48 spl0_12 <=> ssList(sk2)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f504,plain,(
% 0.19/0.48 ~ssList(sk2)|spl0_12),
% 0.19/0.48 inference(component_clause,[status(thm)],[f502])).
% 0.19/0.48 fof(f505,plain,(
% 0.19/0.48 spl0_13 <=> sk2=nil),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f506,plain,(
% 0.19/0.48 sk2=nil|~spl0_13),
% 0.19/0.48 inference(component_clause,[status(thm)],[f505])).
% 0.19/0.48 fof(f508,plain,(
% 0.19/0.48 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_7),
% 0.19/0.48 inference(resolution,[status(thm)],[f302,f496])).
% 0.19/0.48 fof(f509,plain,(
% 0.19/0.48 ~spl0_11|~spl0_12|spl0_13|spl0_7),
% 0.19/0.48 inference(split_clause,[status(thm)],[f508,f499,f502,f505,f469])).
% 0.19/0.48 fof(f510,plain,(
% 0.19/0.48 $false|spl0_12),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f504,f431])).
% 0.19/0.48 fof(f511,plain,(
% 0.19/0.48 spl0_12),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f510])).
% 0.19/0.48 fof(f512,plain,(
% 0.19/0.48 $false|spl0_11),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f501,f207])).
% 0.19/0.48 fof(f513,plain,(
% 0.19/0.48 spl0_11),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f512])).
% 0.19/0.48 fof(f514,plain,(
% 0.19/0.48 app(cons(sk6,nil),sk7)=sk1|~spl0_9),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f435,f478])).
% 0.19/0.48 fof(f515,plain,(
% 0.19/0.48 app(sk7,cons(sk6,nil))=sk2|~spl0_10),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f434,f482])).
% 0.19/0.48 fof(f517,plain,(
% 0.19/0.48 spl0_14 <=> ssList(cons(sk6,nil))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f519,plain,(
% 0.19/0.48 ~ssList(cons(sk6,nil))|spl0_14),
% 0.19/0.48 inference(component_clause,[status(thm)],[f517])).
% 0.19/0.48 fof(f520,plain,(
% 0.19/0.48 spl0_15 <=> ssList(sk1)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f522,plain,(
% 0.19/0.48 ~ssList(sk1)|spl0_15),
% 0.19/0.48 inference(component_clause,[status(thm)],[f520])).
% 0.19/0.48 fof(f525,plain,(
% 0.19/0.48 ~ssItem(sk6)|~ssList(nil)|spl0_14),
% 0.19/0.48 inference(resolution,[status(thm)],[f519,f286])).
% 0.19/0.48 fof(f526,plain,(
% 0.19/0.48 ~spl0_6|~spl0_11|spl0_14),
% 0.19/0.48 inference(split_clause,[status(thm)],[f525,f466,f499,f517])).
% 0.19/0.48 fof(f529,plain,(
% 0.19/0.48 spl0_16 <=> nil=nil),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f532,plain,(
% 0.19/0.48 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.19/0.48 inference(resolution,[status(thm)],[f327,f274])).
% 0.19/0.48 fof(f533,plain,(
% 0.19/0.48 ~spl0_11|spl0_16),
% 0.19/0.48 inference(split_clause,[status(thm)],[f532,f499,f529])).
% 0.19/0.48 fof(f541,plain,(
% 0.19/0.48 spl0_18 <=> sk1=nil),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f543,plain,(
% 0.19/0.48 ~sk1=nil|spl0_18),
% 0.19/0.48 inference(component_clause,[status(thm)],[f541])).
% 0.19/0.48 fof(f544,plain,(
% 0.19/0.48 spl0_19 <=> nil=cons(sk6,nil)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f545,plain,(
% 0.19/0.48 nil=cons(sk6,nil)|~spl0_19),
% 0.19/0.48 inference(component_clause,[status(thm)],[f544])).
% 0.19/0.48 fof(f547,plain,(
% 0.19/0.48 ~sk1=nil|~ssList(sk7)|~ssList(cons(sk6,nil))|nil=cons(sk6,nil)|~spl0_9),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f327])).
% 0.19/0.48 fof(f548,plain,(
% 0.19/0.48 ~spl0_18|~spl0_8|~spl0_14|spl0_19|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f547,f541,f473,f517,f544,f477])).
% 0.19/0.48 fof(f588,plain,(
% 0.19/0.48 $false|spl0_5|~spl0_13),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f506,f498])).
% 0.19/0.48 fof(f589,plain,(
% 0.19/0.48 spl0_5|~spl0_13),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f588])).
% 0.19/0.48 fof(f590,plain,(
% 0.19/0.48 $false|spl0_15),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f522,f430])).
% 0.19/0.48 fof(f591,plain,(
% 0.19/0.48 spl0_15),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f590])).
% 0.19/0.48 fof(f602,plain,(
% 0.19/0.48 ~ssItem(sk6)|~ssList(nil)|~spl0_19),
% 0.19/0.48 inference(resolution,[status(thm)],[f545,f299])).
% 0.19/0.48 fof(f603,plain,(
% 0.19/0.48 ~spl0_6|~spl0_11|~spl0_19),
% 0.19/0.48 inference(split_clause,[status(thm)],[f602,f466,f499,f544])).
% 0.19/0.48 fof(f622,plain,(
% 0.19/0.48 sk1=nil|~spl0_4),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f460,f435])).
% 0.19/0.48 fof(f623,plain,(
% 0.19/0.48 $false|spl0_18|~spl0_4),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f622,f543])).
% 0.19/0.48 fof(f624,plain,(
% 0.19/0.48 spl0_18|~spl0_4),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f623])).
% 0.19/0.48 fof(f625,plain,(
% 0.19/0.48 memberP(nil,sk5)|~spl0_13|~spl0_2),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f506,f452])).
% 0.19/0.48 fof(f628,plain,(
% 0.19/0.48 ~ssItem(sk5)|~spl0_13|~spl0_2),
% 0.19/0.48 inference(resolution,[status(thm)],[f625,f270])).
% 0.19/0.48 fof(f629,plain,(
% 0.19/0.48 $false|~spl0_13|~spl0_2),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f628,f436])).
% 0.19/0.48 fof(f630,plain,(
% 0.19/0.48 ~spl0_13|~spl0_2),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f629])).
% 0.19/0.48 fof(f631,plain,(
% 0.19/0.48 ~memberP(nil,sk5)|~spl0_13|spl0_2),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f506,f453])).
% 0.19/0.48 fof(f637,plain,(
% 0.19/0.48 memberP(nil,sk5)|~spl0_4|~spl0_3),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f622,f455])).
% 0.19/0.48 fof(f638,plain,(
% 0.19/0.48 $false|~spl0_13|spl0_2|~spl0_4|~spl0_3),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f637,f631])).
% 0.19/0.48 fof(f639,plain,(
% 0.19/0.48 ~spl0_13|spl0_2|~spl0_4|~spl0_3),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f638])).
% 0.19/0.48 fof(f652,plain,(
% 0.19/0.48 spl0_25 <=> memberP(sk1,sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f667,plain,(
% 0.19/0.48 spl0_26 <=> ~nil=X0|~ssList(X0)|~ssList(X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f668,plain,(
% 0.19/0.48 ![X0]: (~nil=X0|~ssList(X0)|~ssList(X0)|~spl0_26)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f667])).
% 0.19/0.48 fof(f670,plain,(
% 0.19/0.48 spl0_27 <=> ~nil=X1|~ssList(X1)|~ssList(X1)|nil=X1),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f673,plain,(
% 0.19/0.48 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.19/0.48 inference(resolution,[status(thm)],[f361,f329])).
% 0.19/0.48 fof(f674,plain,(
% 0.19/0.48 spl0_26|spl0_27),
% 0.19/0.48 inference(split_clause,[status(thm)],[f673,f667,f670])).
% 0.19/0.48 fof(f679,plain,(
% 0.19/0.48 ![X0]: (~nil=X0|~ssList(X0)|~spl0_26)),
% 0.19/0.48 inference(duplicate_literals_removal,[status(esa)],[f668])).
% 0.19/0.48 fof(f689,plain,(
% 0.19/0.48 ~ssList(nil)|~spl0_26),
% 0.19/0.48 inference(equality_resolution,[status(esa)],[f679])).
% 0.19/0.48 fof(f690,plain,(
% 0.19/0.48 ~spl0_11|~spl0_26),
% 0.19/0.48 inference(split_clause,[status(thm)],[f689,f499,f667])).
% 0.19/0.48 fof(f709,plain,(
% 0.19/0.48 spl0_29 <=> ~memberP(cons(sk6,nil),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f710,plain,(
% 0.19/0.48 ![X0]: (~memberP(cons(sk6,nil),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_29)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f709])).
% 0.19/0.48 fof(f712,plain,(
% 0.19/0.48 ![X0]: (~memberP(cons(sk6,nil),X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|~ssItem(X0)|memberP(sk1,X0)|~spl0_9)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f354])).
% 0.19/0.48 fof(f713,plain,(
% 0.19/0.48 spl0_29|~spl0_8|~spl0_14|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f712,f709,f473,f517,f477])).
% 0.19/0.48 fof(f714,plain,(
% 0.19/0.48 spl0_30 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(nil,X0)|~ssItem(X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f717,plain,(
% 0.19/0.48 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(nil,X0)|~ssList(nil)|~ssItem(sk6)|~ssItem(X0)|~spl0_29)),
% 0.19/0.48 inference(resolution,[status(thm)],[f710,f353])).
% 0.19/0.48 fof(f718,plain,(
% 0.19/0.48 spl0_30|~spl0_11|~spl0_6|~spl0_29),
% 0.19/0.48 inference(split_clause,[status(thm)],[f717,f714,f499,f466,f709])).
% 0.19/0.48 fof(f719,plain,(
% 0.19/0.48 ~ssItem(sk6)|memberP(sk1,sk6)|~ssList(nil)|~ssItem(sk6)|~spl0_29),
% 0.19/0.48 inference(resolution,[status(thm)],[f710,f492])).
% 0.19/0.48 fof(f720,plain,(
% 0.19/0.48 ~spl0_6|spl0_25|~spl0_11|~spl0_29),
% 0.19/0.48 inference(split_clause,[status(thm)],[f719,f466,f652,f499,f709])).
% 0.19/0.48 fof(f722,plain,(
% 0.19/0.48 spl0_31 <=> ~memberP(sk7,X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f723,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk7,X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_31)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f722])).
% 0.19/0.48 fof(f725,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk7,X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|~ssItem(X0)|memberP(sk1,X0)|~spl0_9)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f355])).
% 0.19/0.48 fof(f726,plain,(
% 0.19/0.48 spl0_31|~spl0_8|~spl0_14|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f725,f722,f473,f517,f477])).
% 0.19/0.48 fof(f727,plain,(
% 0.19/0.48 spl0_32 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(cons(sk6,nil),X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f728,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(cons(sk6,nil),X0)|~spl0_32)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f727])).
% 0.19/0.48 fof(f730,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|~ssItem(X0)|memberP(sk7,X0)|memberP(cons(sk6,nil),X0)|~spl0_9)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f385])).
% 0.19/0.48 fof(f731,plain,(
% 0.19/0.48 spl0_32|~spl0_8|~spl0_14|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f730,f727,f473,f517,f477])).
% 0.19/0.48 fof(f732,plain,(
% 0.19/0.48 spl0_33 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f735,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssList(nil)|~ssItem(sk6)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_32)),
% 0.19/0.48 inference(resolution,[status(thm)],[f728,f391])).
% 0.19/0.48 fof(f736,plain,(
% 0.19/0.48 spl0_33|~spl0_11|~spl0_6|~spl0_32),
% 0.19/0.48 inference(split_clause,[status(thm)],[f735,f732,f499,f466,f727])).
% 0.19/0.48 fof(f742,plain,(
% 0.19/0.48 spl0_35 <=> sk6=sk6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f749,plain,(
% 0.19/0.48 spl0_36 <=> ~ssList(X0)|~ssItem(X1)|~ssList(cons(X1,X0))|memberP(cons(X1,X0),X1)|~ssList(cons(X1,X0))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f752,plain,(
% 0.19/0.48 ![X0,X1]: (~ssList(X0)|~ssList(nil)|~ssItem(X1)|~ssList(cons(X1,X0))|memberP(cons(X1,X0),X1)|~ssList(cons(X1,X0)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f410,f274])).
% 0.19/0.48 fof(f753,plain,(
% 0.19/0.48 spl0_36|~spl0_11),
% 0.19/0.48 inference(split_clause,[status(thm)],[f752,f749,f499])).
% 0.19/0.48 fof(f754,plain,(
% 0.19/0.48 spl0_37 <=> ~ssList(X0)|~ssItem(X2)|memberP(nil,X2)|~nil=cons(X2,X0)|~ssList(cons(X2,X0))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f757,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(nil)|memberP(nil,X2)|~nil=X1|~nil=cons(X2,X0)|~ssList(cons(X2,X0))|~ssList(X1))),
% 0.19/0.48 inference(resolution,[status(thm)],[f410,f361])).
% 0.19/0.48 fof(f758,plain,(
% 0.19/0.48 spl0_37|spl0_26|~spl0_11),
% 0.19/0.48 inference(split_clause,[status(thm)],[f757,f754,f667,f499])).
% 0.19/0.48 fof(f766,plain,(
% 0.19/0.48 spl0_38 <=> sk1=cons(sk6,sk7)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f767,plain,(
% 0.19/0.48 sk1=cons(sk6,sk7)|~spl0_38),
% 0.19/0.48 inference(component_clause,[status(thm)],[f766])).
% 0.19/0.48 fof(f769,plain,(
% 0.19/0.48 ~ssItem(sk6)|~ssList(sk7)|sk1=cons(sk6,sk7)|~spl0_9),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f330])).
% 0.19/0.48 fof(f770,plain,(
% 0.19/0.48 ~spl0_6|~spl0_8|spl0_38|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f769,f466,f473,f766,f477])).
% 0.19/0.48 fof(f773,plain,(
% 0.19/0.48 spl0_39 <=> ~ssList(X0)|app(sk1,X0)=app(cons(sk6,nil),app(sk7,X0))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f774,plain,(
% 0.19/0.48 ![X0]: (~ssList(X0)|app(sk1,X0)=app(cons(sk6,nil),app(sk7,X0))|~spl0_39)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f773])).
% 0.19/0.48 fof(f776,plain,(
% 0.19/0.48 ![X0]: (~ssList(X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|app(sk1,X0)=app(cons(sk6,nil),app(sk7,X0))|~spl0_9)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f368])).
% 0.19/0.48 fof(f777,plain,(
% 0.19/0.48 spl0_39|~spl0_8|~spl0_14|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f776,f773,f473,f517,f477])).
% 0.19/0.48 fof(f778,plain,(
% 0.19/0.48 spl0_40 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f781,plain,(
% 0.19/0.48 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f370,f274])).
% 0.19/0.48 fof(f782,plain,(
% 0.19/0.48 spl0_40|~spl0_11),
% 0.19/0.48 inference(split_clause,[status(thm)],[f781,f778,f499])).
% 0.19/0.48 fof(f785,plain,(
% 0.19/0.48 spl0_41 <=> ~sk1=app(cons(sk6,nil),X0)|~ssList(X0)|sk7=X0),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f788,plain,(
% 0.19/0.48 ![X0]: (~sk1=app(cons(sk6,nil),X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|~ssList(X0)|sk7=X0|~spl0_9)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f370])).
% 0.19/0.48 fof(f789,plain,(
% 0.19/0.48 spl0_41|~spl0_8|~spl0_14|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f788,f785,f473,f517,f477])).
% 0.19/0.48 fof(f801,plain,(
% 0.19/0.48 spl0_44 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f804,plain,(
% 0.19/0.48 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f372,f273])).
% 0.19/0.48 fof(f805,plain,(
% 0.19/0.48 spl0_44|~spl0_11),
% 0.19/0.48 inference(split_clause,[status(thm)],[f804,f801,f499])).
% 0.19/0.48 fof(f808,plain,(
% 0.19/0.48 spl0_45 <=> ~sk1=app(X0,sk7)|~ssList(X0)|cons(sk6,nil)=X0),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f809,plain,(
% 0.19/0.48 ![X0]: (~sk1=app(X0,sk7)|~ssList(X0)|cons(sk6,nil)=X0|~spl0_45)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f808])).
% 0.19/0.48 fof(f811,plain,(
% 0.19/0.48 ![X0]: (~sk1=app(X0,sk7)|~ssList(cons(sk6,nil))|~ssList(sk7)|~ssList(X0)|cons(sk6,nil)=X0|~spl0_9)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f372])).
% 0.19/0.48 fof(f812,plain,(
% 0.19/0.48 spl0_45|~spl0_14|~spl0_8|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f811,f808,f517,f473,f477])).
% 0.19/0.48 fof(f820,plain,(
% 0.19/0.48 spl0_46 <=> cons(sk6,app(nil,sk7))=sk1),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f823,plain,(
% 0.19/0.48 ~ssItem(sk6)|~ssList(nil)|~ssList(sk7)|cons(sk6,app(nil,sk7))=sk1|~spl0_9),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f514,f383])).
% 0.19/0.48 fof(f824,plain,(
% 0.19/0.48 ~spl0_6|~spl0_11|~spl0_8|spl0_46|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f823,f466,f499,f473,f820,f477])).
% 0.19/0.48 fof(f838,plain,(
% 0.19/0.48 spl0_50 <=> memberP(sk2,sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f843,plain,(
% 0.19/0.48 spl0_51 <=> ~sk2=X0|~ssList(X0)|memberP(X0,sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f844,plain,(
% 0.19/0.48 ![X0]: (~sk2=X0|~ssList(X0)|memberP(X0,sk6)|~spl0_51)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f843])).
% 0.19/0.48 fof(f846,plain,(
% 0.19/0.48 ![X0]: (~sk2=X0|~ssList(nil)|~ssList(sk7)|~ssItem(sk6)|~ssList(X0)|memberP(X0,sk6)|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f410])).
% 0.19/0.48 fof(f847,plain,(
% 0.19/0.48 spl0_51|~spl0_11|~spl0_8|~spl0_6|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f846,f843,f499,f473,f466,f481])).
% 0.19/0.48 fof(f848,plain,(
% 0.19/0.48 spl0_52 <=> ~app(X0,cons(sk6,nil))=sk2|~ssList(X0)|X0=sk7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f851,plain,(
% 0.19/0.48 ![X0]: (~app(X0,cons(sk6,nil))=sk2|~ssList(X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|X0=sk7|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f372])).
% 0.19/0.48 fof(f852,plain,(
% 0.19/0.48 spl0_52|~spl0_14|~spl0_8|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f851,f848,f517,f473,f481])).
% 0.19/0.48 fof(f855,plain,(
% 0.19/0.48 spl0_53 <=> ~app(sk7,X0)=sk2|~ssList(X0)|X0=cons(sk6,nil)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f858,plain,(
% 0.19/0.48 ![X0]: (~app(sk7,X0)=sk2|~ssList(X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|X0=cons(sk6,nil)|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f370])).
% 0.19/0.48 fof(f859,plain,(
% 0.19/0.48 spl0_53|~spl0_8|~spl0_14|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f858,f855,f473,f517,f481])).
% 0.19/0.48 fof(f862,plain,(
% 0.19/0.48 spl0_54 <=> ~ssList(X0)|app(sk2,X0)=app(sk7,app(cons(sk6,nil),X0))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f865,plain,(
% 0.19/0.48 ![X0]: (~ssList(X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|app(sk2,X0)=app(sk7,app(cons(sk6,nil),X0))|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f368])).
% 0.19/0.48 fof(f866,plain,(
% 0.19/0.48 spl0_54|~spl0_14|~spl0_8|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f865,f862,f517,f473,f481])).
% 0.19/0.48 fof(f867,plain,(
% 0.19/0.48 spl0_55 <=> ~memberP(sk2,X0)|~ssItem(X0)|memberP(cons(sk6,nil),X0)|memberP(sk7,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f868,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk2,X0)|~ssItem(X0)|memberP(cons(sk6,nil),X0)|memberP(sk7,X0)|~spl0_55)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f867])).
% 0.19/0.48 fof(f870,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk2,X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|~ssItem(X0)|memberP(cons(sk6,nil),X0)|memberP(sk7,X0)|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f385])).
% 0.19/0.48 fof(f871,plain,(
% 0.19/0.48 spl0_55|~spl0_14|~spl0_8|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f870,f867,f517,f473,f481])).
% 0.19/0.48 fof(f872,plain,(
% 0.19/0.48 spl0_56 <=> ~memberP(cons(sk6,nil),X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f873,plain,(
% 0.19/0.48 ![X0]: (~memberP(cons(sk6,nil),X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_56)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f872])).
% 0.19/0.48 fof(f875,plain,(
% 0.19/0.48 ![X0]: (~memberP(cons(sk6,nil),X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|~ssItem(X0)|memberP(sk2,X0)|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f355])).
% 0.19/0.48 fof(f876,plain,(
% 0.19/0.48 spl0_56|~spl0_14|~spl0_8|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f875,f872,f517,f473,f481])).
% 0.19/0.48 fof(f877,plain,(
% 0.19/0.48 spl0_57 <=> ~memberP(sk7,X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f878,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk7,X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_57)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f877])).
% 0.19/0.48 fof(f880,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk7,X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|~ssItem(X0)|memberP(sk2,X0)|~spl0_10)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f354])).
% 0.19/0.48 fof(f881,plain,(
% 0.19/0.48 spl0_57|~spl0_14|~spl0_8|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f880,f877,f517,f473,f481])).
% 0.19/0.48 fof(f896,plain,(
% 0.19/0.48 spl0_58 <=> ~cons(X0,X1)=sk1|~ssItem(X0)|~ssList(X1)|sk7=X1),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f897,plain,(
% 0.19/0.48 ![X0,X1]: (~cons(X0,X1)=sk1|~ssItem(X0)|~ssList(X1)|sk7=X1|~spl0_58)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f896])).
% 0.19/0.48 fof(f899,plain,(
% 0.19/0.48 ![X0,X1]: (~cons(X0,X1)=sk1|~ssItem(sk6)|~ssItem(X0)|~ssList(sk7)|~ssList(X1)|sk7=X1|~spl0_38)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f767,f403])).
% 0.19/0.48 fof(f900,plain,(
% 0.19/0.48 spl0_58|~spl0_6|~spl0_8|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f899,f896,f466,f473,f766])).
% 0.19/0.48 fof(f903,plain,(
% 0.19/0.48 spl0_59 <=> ~cons(X0,X1)=sk1|~ssItem(X0)|~ssList(X1)|X0=sk6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f904,plain,(
% 0.19/0.48 ![X0,X1]: (~cons(X0,X1)=sk1|~ssItem(X0)|~ssList(X1)|X0=sk6|~spl0_59)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f903])).
% 0.19/0.48 fof(f906,plain,(
% 0.19/0.48 ![X0,X1]: (~cons(X0,X1)=sk1|~ssItem(sk6)|~ssItem(X0)|~ssList(sk7)|~ssList(X1)|X0=sk6|~spl0_38)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f767,f401])).
% 0.19/0.48 fof(f907,plain,(
% 0.19/0.48 spl0_59|~spl0_6|~spl0_8|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f906,f903,f466,f473,f766])).
% 0.19/0.48 fof(f910,plain,(
% 0.19/0.48 spl0_60 <=> ~ssList(X0)|cons(sk6,app(sk7,X0))=app(sk1,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f913,plain,(
% 0.19/0.48 ![X0]: (~ssItem(sk6)|~ssList(sk7)|~ssList(X0)|cons(sk6,app(sk7,X0))=app(sk1,X0)|~spl0_38)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f767,f383])).
% 0.19/0.48 fof(f914,plain,(
% 0.19/0.48 ~spl0_6|~spl0_8|spl0_60|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f913,f466,f473,f910,f766])).
% 0.19/0.48 fof(f915,plain,(
% 0.19/0.48 spl0_61 <=> ~app(X0,sk1)=X1|~ssList(X0)|~ssList(X1)|memberP(X1,sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f916,plain,(
% 0.19/0.48 ![X0,X1]: (~app(X0,sk1)=X1|~ssList(X0)|~ssList(X1)|memberP(X1,sk6)|~spl0_61)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f915])).
% 0.19/0.48 fof(f918,plain,(
% 0.19/0.48 ![X0,X1]: (~app(X0,sk1)=X1|~ssList(sk7)|~ssList(X0)|~ssItem(sk6)|~ssList(X1)|memberP(X1,sk6)|~spl0_38)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f767,f410])).
% 0.19/0.48 fof(f919,plain,(
% 0.19/0.48 spl0_61|~spl0_8|~spl0_6|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f918,f915,f473,f466,f766])).
% 0.19/0.48 fof(f920,plain,(
% 0.19/0.48 spl0_62 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|X0=sk6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f923,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssList(sk7)|~ssItem(sk6)|~ssItem(X0)|memberP(sk7,X0)|X0=sk6|~spl0_38)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f767,f391])).
% 0.19/0.48 fof(f924,plain,(
% 0.19/0.48 spl0_62|~spl0_8|~spl0_6|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f923,f920,f473,f466,f766])).
% 0.19/0.48 fof(f933,plain,(
% 0.19/0.48 spl0_63 <=> sk1=sk7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f936,plain,(
% 0.19/0.48 ~sk1=sk7|~ssItem(sk6)|~ssList(sk7)|~spl0_38),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f767,f301])).
% 0.19/0.48 fof(f937,plain,(
% 0.19/0.48 ~spl0_63|~spl0_6|~spl0_8|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f936,f933,f466,f473,f766])).
% 0.19/0.48 fof(f981,plain,(
% 0.19/0.48 spl0_69 <=> ssList(sk4)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f983,plain,(
% 0.19/0.48 ~ssList(sk4)|spl0_69),
% 0.19/0.48 inference(component_clause,[status(thm)],[f981])).
% 0.19/0.48 fof(f984,plain,(
% 0.19/0.48 spl0_70 <=> memberP(sk4,sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f987,plain,(
% 0.19/0.48 ~ssList(sk4)|memberP(sk4,sk6)|~spl0_51),
% 0.19/0.48 inference(resolution,[status(thm)],[f844,f434])).
% 0.19/0.48 fof(f988,plain,(
% 0.19/0.48 ~spl0_69|spl0_70|~spl0_51),
% 0.19/0.48 inference(split_clause,[status(thm)],[f987,f981,f984,f843])).
% 0.19/0.48 fof(f989,plain,(
% 0.19/0.48 spl0_71 <=> ssList(app(nil,sk2))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f991,plain,(
% 0.19/0.48 ~ssList(app(nil,sk2))|spl0_71),
% 0.19/0.48 inference(component_clause,[status(thm)],[f989])).
% 0.19/0.48 fof(f992,plain,(
% 0.19/0.48 spl0_72 <=> memberP(app(nil,sk2),sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f995,plain,(
% 0.19/0.48 ~ssList(app(nil,sk2))|memberP(app(nil,sk2),sk6)|~ssList(sk2)|~spl0_51),
% 0.19/0.48 inference(resolution,[status(thm)],[f844,f274])).
% 0.19/0.48 fof(f996,plain,(
% 0.19/0.48 ~spl0_71|spl0_72|~spl0_12|~spl0_51),
% 0.19/0.48 inference(split_clause,[status(thm)],[f995,f989,f992,f502,f843])).
% 0.19/0.48 fof(f997,plain,(
% 0.19/0.48 spl0_73 <=> ssList(app(sk2,nil))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f999,plain,(
% 0.19/0.48 ~ssList(app(sk2,nil))|spl0_73),
% 0.19/0.48 inference(component_clause,[status(thm)],[f997])).
% 0.19/0.48 fof(f1000,plain,(
% 0.19/0.48 spl0_74 <=> memberP(app(sk2,nil),sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1003,plain,(
% 0.19/0.48 ~ssList(app(sk2,nil))|memberP(app(sk2,nil),sk6)|~ssList(sk2)|~spl0_51),
% 0.19/0.48 inference(resolution,[status(thm)],[f844,f273])).
% 0.19/0.48 fof(f1004,plain,(
% 0.19/0.48 ~spl0_73|spl0_74|~spl0_12|~spl0_51),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1003,f997,f1000,f502,f843])).
% 0.19/0.48 fof(f1005,plain,(
% 0.19/0.48 ~ssList(sk2)|memberP(sk2,sk6)|~spl0_51),
% 0.19/0.48 inference(equality_resolution,[status(esa)],[f844])).
% 0.19/0.48 fof(f1006,plain,(
% 0.19/0.48 ~spl0_12|spl0_50|~spl0_51),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1005,f502,f838,f843])).
% 0.19/0.48 fof(f1007,plain,(
% 0.19/0.48 ~ssList(sk2)|spl0_69),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f434,f983])).
% 0.19/0.48 fof(f1008,plain,(
% 0.19/0.48 $false|spl0_69),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1007,f431])).
% 0.19/0.48 fof(f1009,plain,(
% 0.19/0.48 spl0_69),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f1008])).
% 0.19/0.48 fof(f1011,plain,(
% 0.19/0.48 ~ssList(sk2)|~ssList(nil)|spl0_71),
% 0.19/0.48 inference(resolution,[status(thm)],[f991,f285])).
% 0.19/0.48 fof(f1012,plain,(
% 0.19/0.48 ~spl0_12|~spl0_11|spl0_71),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1011,f502,f499,f989])).
% 0.19/0.48 fof(f1013,plain,(
% 0.19/0.48 ~ssList(nil)|~ssList(sk2)|spl0_73),
% 0.19/0.48 inference(resolution,[status(thm)],[f999,f285])).
% 0.19/0.48 fof(f1014,plain,(
% 0.19/0.48 ~spl0_11|~spl0_12|spl0_73),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1013,f499,f502,f997])).
% 0.19/0.48 fof(f1101,plain,(
% 0.19/0.48 spl0_77 <=> sk7=sk7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1108,plain,(
% 0.19/0.48 ~ssItem(sk6)|~ssList(sk7)|sk6=sk6|~spl0_59|~spl0_38),
% 0.19/0.48 inference(resolution,[status(thm)],[f904,f767])).
% 0.19/0.48 fof(f1109,plain,(
% 0.19/0.48 ~spl0_6|~spl0_8|spl0_35|~spl0_59|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1108,f466,f473,f742,f903,f766])).
% 0.19/0.48 fof(f1112,plain,(
% 0.19/0.48 ~ssItem(sk6)|~ssList(sk7)|sk7=sk7|~spl0_58|~spl0_38),
% 0.19/0.48 inference(resolution,[status(thm)],[f897,f767])).
% 0.19/0.48 fof(f1113,plain,(
% 0.19/0.48 ~spl0_6|~spl0_8|spl0_77|~spl0_58|~spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1112,f466,f473,f1101,f896,f766])).
% 0.19/0.48 fof(f1122,plain,(
% 0.19/0.48 spl0_78 <=> ssList(app(sk7,cons(sk6,nil)))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1124,plain,(
% 0.19/0.48 ~ssList(app(sk7,cons(sk6,nil)))|spl0_78),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1122])).
% 0.19/0.48 fof(f1125,plain,(
% 0.19/0.48 spl0_79 <=> memberP(app(sk7,cons(sk6,nil)),sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1128,plain,(
% 0.19/0.48 ~ssList(app(sk7,cons(sk6,nil)))|memberP(app(sk7,cons(sk6,nil)),sk6)|~spl0_10|~spl0_51),
% 0.19/0.48 inference(resolution,[status(thm)],[f515,f844])).
% 0.19/0.48 fof(f1129,plain,(
% 0.19/0.48 ~spl0_78|spl0_79|~spl0_10|~spl0_51),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1128,f1122,f1125,f481,f843])).
% 0.19/0.48 fof(f1148,plain,(
% 0.19/0.48 ~ssList(sk2)|~spl0_10|spl0_78),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f515,f1124])).
% 0.19/0.48 fof(f1149,plain,(
% 0.19/0.48 $false|~spl0_10|spl0_78),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1148,f431])).
% 0.19/0.48 fof(f1150,plain,(
% 0.19/0.48 ~spl0_10|spl0_78),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f1149])).
% 0.19/0.48 fof(f1152,plain,(
% 0.19/0.48 spl0_80 <=> cons(sk6,nil)=cons(sk6,nil)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1155,plain,(
% 0.19/0.48 ~ssList(cons(sk6,nil))|cons(sk6,nil)=cons(sk6,nil)|~spl0_45|~spl0_9),
% 0.19/0.48 inference(resolution,[status(thm)],[f809,f514])).
% 0.19/0.48 fof(f1156,plain,(
% 0.19/0.48 ~spl0_14|spl0_80|~spl0_45|~spl0_9),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1155,f517,f1152,f808,f477])).
% 0.19/0.48 fof(f1166,plain,(
% 0.19/0.48 spl0_82 <=> ~ssList(app(X0,X1))|~ssList(app(X0,app(X1,sk1)))|memberP(app(X0,app(X1,sk1)),sk6)|~ssList(X1)|~ssList(X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1169,plain,(
% 0.19/0.48 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(app(X0,app(X1,sk1)))|memberP(app(X0,app(X1,sk1)),sk6)|~ssList(sk1)|~ssList(X1)|~ssList(X0)|~spl0_61)),
% 0.19/0.48 inference(resolution,[status(thm)],[f916,f368])).
% 0.19/0.48 fof(f1170,plain,(
% 0.19/0.48 spl0_82|~spl0_15|~spl0_61),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1169,f1166,f520,f915])).
% 0.19/0.48 fof(f1179,plain,(
% 0.19/0.48 spl0_83 <=> ssList(app(cons(sk6,nil),app(sk7,sk1)))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1181,plain,(
% 0.19/0.48 ~ssList(app(cons(sk6,nil),app(sk7,sk1)))|spl0_83),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1179])).
% 0.19/0.48 fof(f1182,plain,(
% 0.19/0.48 spl0_84 <=> memberP(app(cons(sk6,nil),app(sk7,sk1)),sk6)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1185,plain,(
% 0.19/0.48 ~ssList(sk1)|~ssList(sk1)|~ssList(app(cons(sk6,nil),app(sk7,sk1)))|memberP(app(cons(sk6,nil),app(sk7,sk1)),sk6)|~spl0_39|~spl0_61),
% 0.19/0.48 inference(resolution,[status(thm)],[f774,f916])).
% 0.19/0.48 fof(f1186,plain,(
% 0.19/0.48 ~spl0_15|~spl0_83|spl0_84|~spl0_39|~spl0_61),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1185,f520,f1179,f1182,f773,f915])).
% 0.19/0.48 fof(f1187,plain,(
% 0.19/0.48 spl0_85 <=> app(sk1,cons(sk6,nil))=app(cons(sk6,nil),sk2)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1190,plain,(
% 0.19/0.48 ~ssList(cons(sk6,nil))|app(sk1,cons(sk6,nil))=app(cons(sk6,nil),sk2)|~spl0_39|~spl0_10),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f515,f774])).
% 0.19/0.48 fof(f1191,plain,(
% 0.19/0.48 ~spl0_14|spl0_85|~spl0_39|~spl0_10),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1190,f517,f1187,f773,f481])).
% 0.19/0.48 fof(f1192,plain,(
% 0.19/0.48 spl0_86 <=> ssList(app(sk7,sk1))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1194,plain,(
% 0.19/0.48 ~ssList(app(sk7,sk1))|spl0_86),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1192])).
% 0.19/0.48 fof(f1195,plain,(
% 0.19/0.48 ~ssList(app(sk7,sk1))|~ssList(cons(sk6,nil))|spl0_83),
% 0.19/0.48 inference(resolution,[status(thm)],[f1181,f285])).
% 0.19/0.48 fof(f1196,plain,(
% 0.19/0.48 ~spl0_86|~spl0_14|spl0_83),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1195,f1192,f517,f1179])).
% 0.19/0.48 fof(f1197,plain,(
% 0.19/0.48 ~ssList(sk1)|~ssList(sk7)|spl0_86),
% 0.19/0.48 inference(resolution,[status(thm)],[f1194,f285])).
% 0.19/0.48 fof(f1198,plain,(
% 0.19/0.48 ~spl0_15|~spl0_8|spl0_86),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1197,f520,f473,f1192])).
% 0.19/0.48 fof(f1199,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk2,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_55|~spl0_29)),
% 0.19/0.48 inference(resolution,[status(thm)],[f868,f710])).
% 0.19/0.48 fof(f1200,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk2,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(sk1,X0)|~spl0_55|~spl0_29)),
% 0.19/0.48 inference(duplicate_literals_removal,[status(esa)],[f1199])).
% 0.19/0.48 fof(f1204,plain,(
% 0.19/0.48 spl0_87 <=> ssItem(sk5)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1206,plain,(
% 0.19/0.48 ~ssItem(sk5)|spl0_87),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1204])).
% 0.19/0.48 fof(f1209,plain,(
% 0.19/0.48 $false|spl0_87),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1206,f436])).
% 0.19/0.48 fof(f1210,plain,(
% 0.19/0.48 spl0_87),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f1209])).
% 0.19/0.48 fof(f1225,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_32|~spl0_56)),
% 0.19/0.48 inference(resolution,[status(thm)],[f728,f873])).
% 0.19/0.48 fof(f1226,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(sk2,X0)|~spl0_32|~spl0_56)),
% 0.19/0.48 inference(duplicate_literals_removal,[status(esa)],[f1225])).
% 0.19/0.48 fof(f1240,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_57|~spl0_32|~spl0_56)),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1226,f878])).
% 0.19/0.48 fof(f1241,plain,(
% 0.19/0.48 ~ssItem(sk5)|memberP(sk2,sk5)|~spl0_57|~spl0_32|~spl0_56|~spl0_3),
% 0.19/0.48 inference(resolution,[status(thm)],[f1240,f455])).
% 0.19/0.48 fof(f1242,plain,(
% 0.19/0.48 ~spl0_87|spl0_2|~spl0_57|~spl0_32|~spl0_56|~spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1241,f1204,f451,f877,f727,f872,f454])).
% 0.19/0.48 fof(f1245,plain,(
% 0.19/0.48 ![X0]: (~memberP(sk2,X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_31|~spl0_55|~spl0_29)),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1200,f723])).
% 0.19/0.48 fof(f1246,plain,(
% 0.19/0.48 ~ssItem(sk5)|memberP(sk1,sk5)|~spl0_31|~spl0_55|~spl0_29|~spl0_2),
% 0.19/0.48 inference(resolution,[status(thm)],[f1245,f452])).
% 0.19/0.48 fof(f1247,plain,(
% 0.19/0.48 ~spl0_87|spl0_3|~spl0_31|~spl0_55|~spl0_29|~spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1246,f1204,f454,f722,f867,f709,f451])).
% 0.19/0.48 fof(f1250,plain,(
% 0.19/0.48 $false),
% 0.19/0.48 inference(sat_refutation,[status(thm)],[f457,f458,f465,f472,f476,f480,f484,f509,f511,f513,f526,f533,f548,f589,f591,f603,f624,f630,f639,f674,f690,f713,f718,f720,f726,f731,f736,f753,f758,f770,f777,f782,f789,f805,f812,f824,f847,f852,f859,f866,f871,f876,f881,f900,f907,f914,f919,f924,f937,f988,f996,f1004,f1006,f1009,f1012,f1014,f1109,f1113,f1129,f1150,f1156,f1170,f1186,f1191,f1196,f1198,f1210,f1242,f1247])).
% 0.19/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 % Elapsed time: 0.130259 seconds
% 0.19/0.49 % CPU time: 0.881386 seconds
% 0.19/0.49 % Total memory used: 78.460 MB
% 0.19/0.49 % Net memory used: 77.430 MB
%------------------------------------------------------------------------------