TSTP Solution File: SWC177-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC177-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:39:33 EDT 2023
% Result : Unsatisfiable 3.41s 0.88s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC177-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:54:29 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 3.41/0.88 % Refutation found
% 3.41/0.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.41/0.88 % SZS output start CNFRefutation for theBenchmark
% 3.41/0.88 fof(f8,axiom,(
% 3.41/0.88 ssList(nil) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f12,axiom,(
% 3.41/0.88 (![U]: (ssItem(skaf83(U)) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f13,axiom,(
% 3.41/0.88 (![U]: (ssList(skaf82(U)) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f61,axiom,(
% 3.41/0.88 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f71,axiom,(
% 3.41/0.88 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f74,axiom,(
% 3.41/0.88 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f75,axiom,(
% 3.41/0.88 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f84,axiom,(
% 3.41/0.88 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f85,axiom,(
% 3.41/0.88 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f86,axiom,(
% 3.41/0.88 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f97,axiom,(
% 3.41/0.88 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| hd(cons(U,V)) = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f98,axiom,(
% 3.41/0.88 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f102,axiom,(
% 3.41/0.88 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f104,axiom,(
% 3.41/0.88 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f109,axiom,(
% 3.41/0.88 (![U]: (( ~ ssList(U)| cons(skaf83(U),skaf82(U)) = U| nil = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f118,axiom,(
% 3.41/0.88 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f119,axiom,(
% 3.41/0.88 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f123,axiom,(
% 3.41/0.88 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| nil = V| hd(app(V,U)) = hd(V) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f137,axiom,(
% 3.41/0.88 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f138,axiom,(
% 3.41/0.88 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f140,axiom,(
% 3.41/0.88 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f141,axiom,(
% 3.41/0.88 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f145,axiom,(
% 3.41/0.88 (![U,V]: (( nil != U| nil != V| ~ ssList(V)| ~ ssList(U)| app(U,V) = nil ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f149,axiom,(
% 3.41/0.88 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f150,axiom,(
% 3.41/0.88 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f157,axiom,(
% 3.41/0.88 (![U,V,W]: (( ~ ssItem(U)| ~ ssList(V)| ~ ssList(W)| cons(U,app(V,W)) = app(cons(U,V),W) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f161,axiom,(
% 3.41/0.88 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f170,axiom,(
% 3.41/0.88 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f171,axiom,(
% 3.41/0.88 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f174,axiom,(
% 3.41/0.88 (![U,V,W,X]: (( ~ frontsegP(cons(U,V),cons(W,X))| ~ ssList(X)| ~ ssList(V)| ~ ssItem(W)| ~ ssItem(U)| frontsegP(V,X) ) ))),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f186,negated_conjecture,(
% 3.41/0.88 ssList(sk1) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f191,negated_conjecture,(
% 3.41/0.88 sk1 = sk3 ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f192,negated_conjecture,(
% 3.41/0.88 ssItem(sk5) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f193,negated_conjecture,(
% 3.41/0.88 ssItem(sk6) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f194,negated_conjecture,(
% 3.41/0.88 ssList(sk7) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f195,negated_conjecture,(
% 3.41/0.88 ssList(sk8) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f196,negated_conjecture,(
% 3.41/0.88 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f197,negated_conjecture,(
% 3.41/0.88 ~ neq(sk5,sk6) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f199,negated_conjecture,(
% 3.41/0.88 ( ssItem(sk9)| nil = sk3 ) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f202,negated_conjecture,(
% 3.41/0.88 ( cons(sk9,nil) = sk3| nil = sk3 ) ),
% 3.41/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.88 fof(f211,plain,(
% 3.41/0.88 ssList(nil)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f8])).
% 3.41/0.88 fof(f215,plain,(
% 3.41/0.88 ![X0]: (ssItem(skaf83(X0)))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f12])).
% 3.41/0.88 fof(f216,plain,(
% 3.41/0.88 ![X0]: (ssList(skaf82(X0)))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f13])).
% 3.41/0.88 fof(f264,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f61])).
% 3.41/0.88 fof(f274,plain,(
% 3.41/0.88 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f71])).
% 3.41/0.88 fof(f278,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f74])).
% 3.41/0.88 fof(f279,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f75])).
% 3.41/0.88 fof(f288,plain,(
% 3.41/0.88 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f84])).
% 3.41/0.88 fof(f289,plain,(
% 3.41/0.88 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f85])).
% 3.41/0.88 fof(f290,plain,(
% 3.41/0.88 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f86])).
% 3.41/0.88 fof(f301,plain,(
% 3.41/0.88 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|hd(cons(X0,X1))=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f97])).
% 3.41/0.88 fof(f302,plain,(
% 3.41/0.88 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f98])).
% 3.41/0.88 fof(f303,plain,(
% 3.41/0.88 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f302])).
% 3.41/0.88 fof(f308,plain,(
% 3.41/0.88 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f102])).
% 3.41/0.88 fof(f310,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f104])).
% 3.41/0.88 fof(f315,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|cons(skaf83(X0),skaf82(X0))=X0|nil=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f109])).
% 3.41/0.88 fof(f330,plain,(
% 3.41/0.88 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f118])).
% 3.41/0.88 fof(f331,plain,(
% 3.41/0.88 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f330])).
% 3.41/0.88 fof(f332,plain,(
% 3.41/0.88 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f119])).
% 3.41/0.88 fof(f333,plain,(
% 3.41/0.88 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f332])).
% 3.41/0.88 fof(f337,plain,(
% 3.41/0.88 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X1|hd(app(X1,X0))=hd(X1))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f123])).
% 3.41/0.88 fof(f355,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f137])).
% 3.41/0.88 fof(f356,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f138])).
% 3.41/0.88 fof(f358,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f140])).
% 3.41/0.88 fof(f359,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f141])).
% 3.41/0.88 fof(f365,plain,(
% 3.41/0.88 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|app(X0,X1)=nil)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f145])).
% 3.41/0.88 fof(f372,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f149])).
% 3.41/0.88 fof(f373,plain,(
% 3.41/0.88 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f150])).
% 3.41/0.88 fof(f374,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f373])).
% 3.41/0.88 fof(f387,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|cons(X0,app(X1,X2))=app(cons(X0,X1),X2))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f157])).
% 3.41/0.88 fof(f394,plain,(
% 3.41/0.88 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f161])).
% 3.41/0.88 fof(f395,plain,(
% 3.41/0.88 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f394])).
% 3.41/0.88 fof(f404,plain,(
% 3.41/0.88 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f170])).
% 3.41/0.88 fof(f405,plain,(
% 3.41/0.88 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f404])).
% 3.41/0.88 fof(f406,plain,(
% 3.41/0.88 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f171])).
% 3.41/0.88 fof(f407,plain,(
% 3.41/0.88 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f406])).
% 3.41/0.88 fof(f411,plain,(
% 3.41/0.88 ![V,X]: ((![U]: ((![W]: (((~frontsegP(cons(U,V),cons(W,X))|~ssList(X))|~ssList(V))|~ssItem(W)))|~ssItem(U)))|frontsegP(V,X))),
% 3.41/0.88 inference(miniscoping,[status(esa)],[f174])).
% 3.41/0.88 fof(f412,plain,(
% 3.41/0.88 ![X0,X1,X2,X3]: (~frontsegP(cons(X0,X1),cons(X2,X3))|~ssList(X3)|~ssList(X1)|~ssItem(X2)|~ssItem(X0)|frontsegP(X1,X3))),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f411])).
% 3.41/0.88 fof(f434,plain,(
% 3.41/0.88 ssList(sk1)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f186])).
% 3.41/0.88 fof(f439,plain,(
% 3.41/0.88 sk1=sk3),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f191])).
% 3.41/0.88 fof(f440,plain,(
% 3.41/0.88 ssItem(sk5)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f192])).
% 3.41/0.88 fof(f441,plain,(
% 3.41/0.88 ssItem(sk6)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f193])).
% 3.41/0.88 fof(f442,plain,(
% 3.41/0.88 ssList(sk7)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f194])).
% 3.41/0.88 fof(f443,plain,(
% 3.41/0.88 ssList(sk8)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f195])).
% 3.41/0.88 fof(f444,plain,(
% 3.41/0.88 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk1),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f196])).
% 3.41/0.88 fof(f445,plain,(
% 3.41/0.88 ~neq(sk5,sk6)),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f197])).
% 3.41/0.88 fof(f447,plain,(
% 3.41/0.88 ssItem(sk9)|nil=sk3),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f199])).
% 3.41/0.88 fof(f450,plain,(
% 3.41/0.88 cons(sk9,nil)=sk3|nil=sk3),
% 3.41/0.88 inference(cnf_transformation,[status(esa)],[f202])).
% 3.41/0.88 fof(f459,plain,(
% 3.41/0.88 spl0_2 <=> ssItem(sk9)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f466,plain,(
% 3.41/0.88 spl0_4 <=> nil=sk3),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f467,plain,(
% 3.41/0.88 nil=sk3|~spl0_4),
% 3.41/0.88 inference(component_clause,[status(thm)],[f466])).
% 3.41/0.88 fof(f469,plain,(
% 3.41/0.88 spl0_2|spl0_4),
% 3.41/0.88 inference(split_clause,[status(thm)],[f447,f459,f466])).
% 3.41/0.88 fof(f470,plain,(
% 3.41/0.88 spl0_5 <=> cons(sk9,nil)=sk3),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f471,plain,(
% 3.41/0.88 cons(sk9,nil)=sk3|~spl0_5),
% 3.41/0.88 inference(component_clause,[status(thm)],[f470])).
% 3.41/0.88 fof(f478,plain,(
% 3.41/0.88 spl0_5|spl0_4),
% 3.41/0.88 inference(split_clause,[status(thm)],[f450,f470,f466])).
% 3.41/0.88 fof(f492,plain,(
% 3.41/0.88 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 3.41/0.88 inference(destructive_equality_resolution,[status(esa)],[f356])).
% 3.41/0.88 fof(f493,plain,(
% 3.41/0.88 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 3.41/0.88 inference(duplicate_literals_removal,[status(esa)],[f492])).
% 3.41/0.88 fof(f496,plain,(
% 3.41/0.88 ~ssList(nil)|~ssList(nil)|app(nil,nil)=nil),
% 3.41/0.88 inference(destructive_equality_resolution,[status(esa)],[f365])).
% 3.41/0.88 fof(f497,plain,(
% 3.41/0.88 ~ssList(nil)|app(nil,nil)=nil),
% 3.41/0.88 inference(duplicate_literals_removal,[status(esa)],[f496])).
% 3.41/0.88 fof(f511,plain,(
% 3.41/0.88 nil=sk1|~spl0_4),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f439,f467])).
% 3.41/0.88 fof(f517,plain,(
% 3.41/0.88 spl0_7 <=> ssList(sk8)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f519,plain,(
% 3.41/0.88 ~ssList(sk8)|spl0_7),
% 3.41/0.88 inference(component_clause,[status(thm)],[f517])).
% 3.41/0.88 fof(f520,plain,(
% 3.41/0.88 spl0_8 <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f522,plain,(
% 3.41/0.88 ~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|spl0_8),
% 3.41/0.88 inference(component_clause,[status(thm)],[f520])).
% 3.41/0.88 fof(f523,plain,(
% 3.41/0.88 spl0_9 <=> ssList(nil)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f525,plain,(
% 3.41/0.88 ~ssList(nil)|spl0_9),
% 3.41/0.88 inference(component_clause,[status(thm)],[f523])).
% 3.41/0.88 fof(f529,plain,(
% 3.41/0.88 cons(sk9,nil)=sk1|~spl0_5),
% 3.41/0.88 inference(backward_demodulation,[status(thm)],[f439,f471])).
% 3.41/0.88 fof(f530,plain,(
% 3.41/0.88 spl0_10 <=> ssList(cons(sk6,nil))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f532,plain,(
% 3.41/0.88 ~ssList(cons(sk6,nil))|spl0_10),
% 3.41/0.88 inference(component_clause,[status(thm)],[f530])).
% 3.41/0.88 fof(f533,plain,(
% 3.41/0.88 spl0_11 <=> ssList(app(sk7,cons(sk5,nil)))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f535,plain,(
% 3.41/0.88 ~ssList(app(sk7,cons(sk5,nil)))|spl0_11),
% 3.41/0.88 inference(component_clause,[status(thm)],[f533])).
% 3.41/0.88 fof(f536,plain,(
% 3.41/0.88 ~ssList(cons(sk6,nil))|~ssList(app(sk7,cons(sk5,nil)))|spl0_8),
% 3.41/0.88 inference(resolution,[status(thm)],[f522,f289])).
% 3.41/0.88 fof(f537,plain,(
% 3.41/0.88 ~spl0_10|~spl0_11|spl0_8),
% 3.41/0.88 inference(split_clause,[status(thm)],[f536,f530,f533,f520])).
% 3.41/0.88 fof(f538,plain,(
% 3.41/0.88 $false|spl0_7),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f519,f443])).
% 3.41/0.88 fof(f539,plain,(
% 3.41/0.88 spl0_7),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f538])).
% 3.41/0.88 fof(f542,plain,(
% 3.41/0.88 spl0_12 <=> ssList(sk1)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f545,plain,(
% 3.41/0.88 ~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|ssList(sk1)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f444,f289])).
% 3.41/0.88 fof(f546,plain,(
% 3.41/0.88 ~spl0_7|~spl0_8|spl0_12),
% 3.41/0.88 inference(split_clause,[status(thm)],[f545,f517,f520,f542])).
% 3.41/0.88 fof(f561,plain,(
% 3.41/0.88 spl0_13 <=> ssItem(sk6)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f563,plain,(
% 3.41/0.88 ~ssItem(sk6)|spl0_13),
% 3.41/0.88 inference(component_clause,[status(thm)],[f561])).
% 3.41/0.88 fof(f564,plain,(
% 3.41/0.88 ~ssItem(sk6)|~ssList(nil)|spl0_10),
% 3.41/0.88 inference(resolution,[status(thm)],[f290,f532])).
% 3.41/0.88 fof(f565,plain,(
% 3.41/0.88 ~spl0_13|~spl0_9|spl0_10),
% 3.41/0.88 inference(split_clause,[status(thm)],[f564,f561,f523,f530])).
% 3.41/0.88 fof(f566,plain,(
% 3.41/0.88 $false|spl0_13),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f563,f441])).
% 3.41/0.88 fof(f567,plain,(
% 3.41/0.88 spl0_13),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f566])).
% 3.41/0.88 fof(f575,plain,(
% 3.41/0.88 spl0_14 <=> ssList(cons(sk5,nil))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f577,plain,(
% 3.41/0.88 ~ssList(cons(sk5,nil))|spl0_14),
% 3.41/0.88 inference(component_clause,[status(thm)],[f575])).
% 3.41/0.88 fof(f578,plain,(
% 3.41/0.88 spl0_15 <=> ssList(sk7)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f580,plain,(
% 3.41/0.88 ~ssList(sk7)|spl0_15),
% 3.41/0.88 inference(component_clause,[status(thm)],[f578])).
% 3.41/0.88 fof(f581,plain,(
% 3.41/0.88 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_11),
% 3.41/0.88 inference(resolution,[status(thm)],[f535,f289])).
% 3.41/0.88 fof(f582,plain,(
% 3.41/0.88 ~spl0_14|~spl0_15|spl0_11),
% 3.41/0.88 inference(split_clause,[status(thm)],[f581,f575,f578,f533])).
% 3.41/0.88 fof(f583,plain,(
% 3.41/0.88 $false|spl0_15),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f580,f442])).
% 3.41/0.88 fof(f584,plain,(
% 3.41/0.88 spl0_15),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f583])).
% 3.41/0.88 fof(f587,plain,(
% 3.41/0.88 $false|spl0_9),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f211,f525])).
% 3.41/0.88 fof(f588,plain,(
% 3.41/0.88 spl0_9),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f587])).
% 3.41/0.88 fof(f594,plain,(
% 3.41/0.88 spl0_16 <=> ssItem(sk5)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f596,plain,(
% 3.41/0.88 ~ssItem(sk5)|spl0_16),
% 3.41/0.88 inference(component_clause,[status(thm)],[f594])).
% 3.41/0.88 fof(f597,plain,(
% 3.41/0.88 ~ssItem(sk5)|~ssList(nil)|spl0_14),
% 3.41/0.88 inference(resolution,[status(thm)],[f577,f290])).
% 3.41/0.88 fof(f598,plain,(
% 3.41/0.88 ~spl0_16|~spl0_9|spl0_14),
% 3.41/0.88 inference(split_clause,[status(thm)],[f597,f594,f523,f575])).
% 3.41/0.88 fof(f599,plain,(
% 3.41/0.88 $false|spl0_16),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f596,f440])).
% 3.41/0.88 fof(f600,plain,(
% 3.41/0.88 spl0_16),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f599])).
% 3.41/0.88 fof(f607,plain,(
% 3.41/0.88 spl0_19 <=> sk5=sk6),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f608,plain,(
% 3.41/0.88 sk5=sk6|~spl0_19),
% 3.41/0.88 inference(component_clause,[status(thm)],[f607])).
% 3.41/0.88 fof(f612,plain,(
% 3.41/0.88 ~ssItem(sk6)|~ssItem(sk5)|sk5=sk6),
% 3.41/0.88 inference(resolution,[status(thm)],[f308,f445])).
% 3.41/0.88 fof(f613,plain,(
% 3.41/0.88 ~spl0_13|~spl0_16|spl0_19),
% 3.41/0.88 inference(split_clause,[status(thm)],[f612,f561,f594,f607])).
% 3.41/0.88 fof(f622,plain,(
% 3.41/0.88 spl0_21 <=> ~memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f623,plain,(
% 3.41/0.88 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_21)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f622])).
% 3.41/0.88 fof(f625,plain,(
% 3.41/0.88 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)|~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f444,f358])).
% 3.41/0.88 fof(f626,plain,(
% 3.41/0.88 spl0_21|~spl0_7|~spl0_8),
% 3.41/0.88 inference(split_clause,[status(thm)],[f625,f622,f517,f520])).
% 3.41/0.88 fof(f696,plain,(
% 3.41/0.88 app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8)=sk1|~spl0_19),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f608,f444])).
% 3.41/0.88 fof(f697,plain,(
% 3.41/0.88 spl0_29 <=> app(nil,nil)=nil),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f698,plain,(
% 3.41/0.88 app(nil,nil)=nil|~spl0_29),
% 3.41/0.88 inference(component_clause,[status(thm)],[f697])).
% 3.41/0.88 fof(f700,plain,(
% 3.41/0.88 ~spl0_9|spl0_29),
% 3.41/0.88 inference(split_clause,[status(thm)],[f497,f523,f697])).
% 3.41/0.88 fof(f786,plain,(
% 3.41/0.88 spl0_38 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f787,plain,(
% 3.41/0.88 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_38)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f786])).
% 3.41/0.88 fof(f789,plain,(
% 3.41/0.88 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk9)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_5)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f529,f395])).
% 3.41/0.88 fof(f790,plain,(
% 3.41/0.88 spl0_38|~spl0_9|~spl0_2|~spl0_5),
% 3.41/0.88 inference(split_clause,[status(thm)],[f789,f786,f523,f459,f470])).
% 3.41/0.88 fof(f791,plain,(
% 3.41/0.88 spl0_39 <=> ~ssList(X0)|cons(sk9,app(nil,X0))=app(sk1,X0)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f792,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|cons(sk9,app(nil,X0))=app(sk1,X0)|~spl0_39)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f791])).
% 3.41/0.88 fof(f794,plain,(
% 3.41/0.88 ![X0]: (~ssItem(sk9)|~ssList(nil)|~ssList(X0)|cons(sk9,app(nil,X0))=app(sk1,X0)|~spl0_5)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f529,f387])).
% 3.41/0.88 fof(f795,plain,(
% 3.41/0.88 ~spl0_2|~spl0_9|spl0_39|~spl0_5),
% 3.41/0.88 inference(split_clause,[status(thm)],[f794,f459,f523,f791,f470])).
% 3.41/0.88 fof(f796,plain,(
% 3.41/0.88 spl0_40 <=> sk1=nil),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f816,plain,(
% 3.41/0.88 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk9|~spl0_38)),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f787,f274])).
% 3.41/0.88 fof(f822,plain,(
% 3.41/0.88 spl0_44 <=> sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f823,plain,(
% 3.41/0.88 sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))|~spl0_44),
% 3.41/0.88 inference(component_clause,[status(thm)],[f822])).
% 3.41/0.88 fof(f825,plain,(
% 3.41/0.88 ~ssList(sk8)|~ssList(cons(sk5,nil))|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))|~spl0_19),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f696,f372])).
% 3.41/0.88 fof(f826,plain,(
% 3.41/0.88 ~spl0_7|~spl0_14|~spl0_11|spl0_44|~spl0_19),
% 3.41/0.88 inference(split_clause,[status(thm)],[f825,f517,f575,f533,f822,f607])).
% 3.41/0.88 fof(f876,plain,(
% 3.41/0.88 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_19|~spl0_21)),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f608,f623])).
% 3.41/0.88 fof(f877,plain,(
% 3.41/0.88 spl0_53 <=> memberP(sk1,sk5)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f878,plain,(
% 3.41/0.88 memberP(sk1,sk5)|~spl0_53),
% 3.41/0.88 inference(component_clause,[status(thm)],[f877])).
% 3.41/0.88 fof(f882,plain,(
% 3.41/0.88 spl0_54 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~ssItem(X0)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f883,plain,(
% 3.41/0.88 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~ssItem(X0)|~spl0_54)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f882])).
% 3.41/0.88 fof(f885,plain,(
% 3.41/0.88 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~ssList(cons(sk5,nil))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|~spl0_19|~spl0_21)),
% 3.41/0.88 inference(resolution,[status(thm)],[f876,f359])).
% 3.41/0.88 fof(f886,plain,(
% 3.41/0.88 spl0_54|~spl0_14|~spl0_11|~spl0_19|~spl0_21),
% 3.41/0.88 inference(split_clause,[status(thm)],[f885,f882,f575,f533,f607,f622])).
% 3.41/0.88 fof(f892,plain,(
% 3.41/0.88 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~spl0_54)),
% 3.41/0.88 inference(duplicate_literals_removal,[status(esa)],[f883])).
% 3.41/0.88 fof(f910,plain,(
% 3.41/0.88 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssItem(sk5)|~spl0_54),
% 3.41/0.88 inference(resolution,[status(thm)],[f892,f493])).
% 3.41/0.88 fof(f911,plain,(
% 3.41/0.88 ~spl0_16|spl0_53|~spl0_9|~spl0_54),
% 3.41/0.88 inference(split_clause,[status(thm)],[f910,f594,f877,f523,f882])).
% 3.41/0.88 fof(f913,plain,(
% 3.41/0.88 spl0_58 <=> sk5=sk9),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f914,plain,(
% 3.41/0.88 sk5=sk9|~spl0_58),
% 3.41/0.88 inference(component_clause,[status(thm)],[f913])).
% 3.41/0.88 fof(f916,plain,(
% 3.41/0.88 ~ssItem(sk5)|sk5=sk9|~spl0_53|~spl0_38),
% 3.41/0.88 inference(resolution,[status(thm)],[f878,f816])).
% 3.41/0.88 fof(f917,plain,(
% 3.41/0.88 ~spl0_16|spl0_58|~spl0_53|~spl0_38),
% 3.41/0.88 inference(split_clause,[status(thm)],[f916,f594,f913,f877,f786])).
% 3.41/0.88 fof(f962,plain,(
% 3.41/0.88 memberP(nil,sk5)|~spl0_4|~spl0_53),
% 3.41/0.88 inference(backward_demodulation,[status(thm)],[f511,f878])).
% 3.41/0.88 fof(f970,plain,(
% 3.41/0.88 ~ssItem(sk5)|~spl0_4|~spl0_53),
% 3.41/0.88 inference(resolution,[status(thm)],[f962,f274])).
% 3.41/0.88 fof(f971,plain,(
% 3.41/0.88 ~spl0_16|~spl0_4|~spl0_53),
% 3.41/0.88 inference(split_clause,[status(thm)],[f970,f594,f466,f877])).
% 3.41/0.88 fof(f1029,plain,(
% 3.41/0.88 cons(sk5,nil)=sk1|~spl0_58|~spl0_5),
% 3.41/0.88 inference(backward_demodulation,[status(thm)],[f914,f529])).
% 3.41/0.88 fof(f1071,plain,(
% 3.41/0.88 ~sk1=nil|~ssItem(sk5)|~ssList(nil)|~spl0_58|~spl0_5),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1029,f303])).
% 3.41/0.88 fof(f1072,plain,(
% 3.41/0.88 ~spl0_40|~spl0_16|~spl0_9|~spl0_58|~spl0_5),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1071,f796,f594,f523,f913,f470])).
% 3.41/0.88 fof(f1155,plain,(
% 3.41/0.88 sk1=app(app(sk7,sk1),app(cons(sk5,nil),sk8))|~spl0_58|~spl0_5|~spl0_44),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f1029,f823])).
% 3.41/0.88 fof(f1156,plain,(
% 3.41/0.88 sk1=app(app(sk7,sk1),app(sk1,sk8))|~spl0_58|~spl0_5|~spl0_44),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f1029,f1155])).
% 3.41/0.88 fof(f1157,plain,(
% 3.41/0.88 spl0_76 <=> ssList(app(sk1,sk8))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1159,plain,(
% 3.41/0.88 ~ssList(app(sk1,sk8))|spl0_76),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1157])).
% 3.41/0.88 fof(f1160,plain,(
% 3.41/0.88 spl0_77 <=> sk1=app(sk7,app(sk1,app(sk1,sk8)))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1161,plain,(
% 3.41/0.88 sk1=app(sk7,app(sk1,app(sk1,sk8)))|~spl0_77),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1160])).
% 3.41/0.88 fof(f1163,plain,(
% 3.41/0.88 ~ssList(app(sk1,sk8))|~ssList(sk1)|~ssList(sk7)|sk1=app(sk7,app(sk1,app(sk1,sk8)))|~spl0_58|~spl0_5|~spl0_44),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1156,f372])).
% 3.41/0.88 fof(f1164,plain,(
% 3.41/0.88 ~spl0_76|~spl0_12|~spl0_15|spl0_77|~spl0_58|~spl0_5|~spl0_44),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1163,f1157,f542,f578,f1160,f913,f470,f822])).
% 3.41/0.88 fof(f1189,plain,(
% 3.41/0.88 spl0_82 <=> nil=app(sk1,sk8)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1190,plain,(
% 3.41/0.88 nil=app(sk1,sk8)|~spl0_82),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1189])).
% 3.41/0.88 fof(f1247,plain,(
% 3.41/0.88 ~ssList(sk8)|~ssList(sk1)|spl0_76),
% 3.41/0.88 inference(resolution,[status(thm)],[f1159,f289])).
% 3.41/0.88 fof(f1248,plain,(
% 3.41/0.88 ~spl0_7|~spl0_12|spl0_76),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1247,f517,f542,f1157])).
% 3.41/0.88 fof(f1285,plain,(
% 3.41/0.88 spl0_89 <=> ssList(app(sk1,app(sk1,sk8)))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1287,plain,(
% 3.41/0.88 ~ssList(app(sk1,app(sk1,sk8)))|spl0_89),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1285])).
% 3.41/0.88 fof(f1302,plain,(
% 3.41/0.88 spl0_92 <=> ~app(sk7,X0)=sk1|~ssList(X0)|X0=app(sk1,app(sk1,sk8))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1303,plain,(
% 3.41/0.88 ![X0]: (~app(sk7,X0)=sk1|~ssList(X0)|X0=app(sk1,app(sk1,sk8))|~spl0_92)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1302])).
% 3.41/0.88 fof(f1305,plain,(
% 3.41/0.88 ![X0]: (~app(sk7,X0)=sk1|~ssList(X0)|~ssList(sk7)|~ssList(app(sk1,app(sk1,sk8)))|X0=app(sk1,app(sk1,sk8))|~spl0_77)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1161,f374])).
% 3.41/0.88 fof(f1306,plain,(
% 3.41/0.88 spl0_92|~spl0_15|~spl0_89|~spl0_77),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1305,f1302,f578,f1285,f1160])).
% 3.41/0.88 fof(f1314,plain,(
% 3.41/0.88 spl0_94 <=> nil=sk7),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1315,plain,(
% 3.41/0.88 nil=sk7|~spl0_94),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1314])).
% 3.41/0.88 fof(f1331,plain,(
% 3.41/0.88 ~ssList(app(sk1,sk8))|~ssList(sk1)|spl0_89),
% 3.41/0.88 inference(resolution,[status(thm)],[f1287,f289])).
% 3.41/0.88 fof(f1332,plain,(
% 3.41/0.88 ~spl0_76|~spl0_12|spl0_89),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1331,f1157,f542,f1285])).
% 3.41/0.88 fof(f1333,plain,(
% 3.41/0.88 ![X0]: (~ssList(X0)|cons(sk5,app(nil,X0))=app(sk1,X0)|~spl0_58|~spl0_39)),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f914,f792])).
% 3.41/0.88 fof(f1334,plain,(
% 3.41/0.88 spl0_97 <=> cons(sk5,nil)=app(sk1,nil)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1335,plain,(
% 3.41/0.88 cons(sk5,nil)=app(sk1,nil)|~spl0_97),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1334])).
% 3.41/0.88 fof(f1337,plain,(
% 3.41/0.88 ~ssList(nil)|cons(sk5,nil)=app(sk1,nil)|~spl0_58|~spl0_39|~spl0_29),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f698,f1333])).
% 3.41/0.88 fof(f1338,plain,(
% 3.41/0.88 ~spl0_9|spl0_97|~spl0_58|~spl0_39|~spl0_29),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1337,f523,f1334,f913,f791,f697])).
% 3.41/0.88 fof(f1339,plain,(
% 3.41/0.88 sk1=app(sk1,nil)|~spl0_58|~spl0_5|~spl0_97),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f1029,f1335])).
% 3.41/0.88 fof(f1366,plain,(
% 3.41/0.88 spl0_102 <=> ~app(sk1,X0)=sk1|~ssList(X0)|X0=nil),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1367,plain,(
% 3.41/0.88 ![X0]: (~app(sk1,X0)=sk1|~ssList(X0)|X0=nil|~spl0_102)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1366])).
% 3.41/0.88 fof(f1369,plain,(
% 3.41/0.88 ![X0]: (~app(sk1,X0)=sk1|~ssList(X0)|~ssList(sk1)|~ssList(nil)|X0=nil|~spl0_58|~spl0_5|~spl0_97)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1339,f374])).
% 3.41/0.88 fof(f1370,plain,(
% 3.41/0.88 spl0_102|~spl0_12|~spl0_9|~spl0_58|~spl0_5|~spl0_97),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1369,f1366,f542,f523,f913,f470,f1334])).
% 3.41/0.88 fof(f1666,plain,(
% 3.41/0.88 spl0_129 <=> app(sk7,sk1)=sk1),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1668,plain,(
% 3.41/0.88 ~app(sk7,sk1)=sk1|spl0_129),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1666])).
% 3.41/0.88 fof(f1669,plain,(
% 3.41/0.88 ~app(sk7,sk1)=sk1|~ssList(sk1)|~ssList(app(sk1,sk8))|app(sk1,sk8)=nil|~spl0_92|~spl0_102),
% 3.41/0.88 inference(resolution,[status(thm)],[f1303,f1367])).
% 3.41/0.88 fof(f1670,plain,(
% 3.41/0.88 ~spl0_129|~spl0_12|~spl0_76|spl0_82|~spl0_92|~spl0_102),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1669,f1666,f542,f1157,f1189,f1302,f1366])).
% 3.41/0.88 fof(f1677,plain,(
% 3.41/0.88 spl0_130 <=> app(sk7,nil)=sk1),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f1679,plain,(
% 3.41/0.88 ~app(sk7,nil)=sk1|spl0_130),
% 3.41/0.88 inference(component_clause,[status(thm)],[f1677])).
% 3.41/0.88 fof(f1680,plain,(
% 3.41/0.88 ~app(sk7,nil)=sk1|~ssList(nil)|~ssList(app(sk1,sk8))|~ssList(sk1)|nil=app(sk1,sk8)|~spl0_92),
% 3.41/0.88 inference(resolution,[status(thm)],[f1303,f333])).
% 3.41/0.88 fof(f1681,plain,(
% 3.41/0.88 ~spl0_130|~spl0_9|~spl0_76|~spl0_12|spl0_82|~spl0_92),
% 3.41/0.88 inference(split_clause,[status(thm)],[f1680,f1677,f523,f1157,f542,f1189,f1302])).
% 3.41/0.88 fof(f2064,plain,(
% 3.41/0.88 spl0_151 <=> ~frontsegP(sk7,X0)|~ssList(X0)|frontsegP(sk1,X0)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2065,plain,(
% 3.41/0.88 ![X0]: (~frontsegP(sk7,X0)|~ssList(X0)|frontsegP(sk1,X0)|~spl0_151)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2064])).
% 3.41/0.88 fof(f2067,plain,(
% 3.41/0.88 ![X0]: (~frontsegP(sk7,X0)|~ssList(app(sk1,app(sk1,sk8)))|~ssList(X0)|~ssList(sk7)|frontsegP(sk1,X0)|~spl0_77)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1161,f355])).
% 3.41/0.88 fof(f2068,plain,(
% 3.41/0.88 spl0_151|~spl0_89|~spl0_15|~spl0_77),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2067,f2064,f1285,f578,f1160])).
% 3.41/0.88 fof(f2133,plain,(
% 3.41/0.88 spl0_161 <=> ~frontsegP(sk1,cons(X0,X1))|~ssList(X1)|~ssItem(X0)|frontsegP(nil,X1)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2134,plain,(
% 3.41/0.88 ![X0,X1]: (~frontsegP(sk1,cons(X0,X1))|~ssList(X1)|~ssItem(X0)|frontsegP(nil,X1)|~spl0_161)),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2133])).
% 3.41/0.88 fof(f2136,plain,(
% 3.41/0.88 ![X0,X1]: (~frontsegP(sk1,cons(X0,X1))|~ssList(X1)|~ssList(nil)|~ssItem(X0)|~ssItem(sk5)|frontsegP(nil,X1)|~spl0_58|~spl0_5)),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1029,f412])).
% 3.41/0.88 fof(f2137,plain,(
% 3.41/0.88 spl0_161|~spl0_9|~spl0_16|~spl0_58|~spl0_5),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2136,f2133,f523,f594,f913,f470])).
% 3.41/0.88 fof(f2242,plain,(
% 3.41/0.88 spl0_176 <=> hd(sk1)=sk5),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2243,plain,(
% 3.41/0.88 hd(sk1)=sk5|~spl0_176),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2242])).
% 3.41/0.88 fof(f2245,plain,(
% 3.41/0.88 ~ssItem(sk5)|~ssList(nil)|hd(sk1)=sk5|~spl0_58|~spl0_5),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1029,f301])).
% 3.41/0.88 fof(f2246,plain,(
% 3.41/0.88 ~spl0_16|~spl0_9|spl0_176|~spl0_58|~spl0_5),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2245,f594,f523,f2242,f913,f470])).
% 3.41/0.88 fof(f2341,plain,(
% 3.41/0.88 ![X0,X1]: (~ssList(cons(X0,X1))|nil=cons(X0,X1)|~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|skaf83(cons(X0,X1))=X0)),
% 3.41/0.88 inference(resolution,[status(thm)],[f315,f405])).
% 3.41/0.88 fof(f2342,plain,(
% 3.41/0.88 ![X0,X1]: (nil=cons(X0,X1)|~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|skaf83(cons(X0,X1))=X0)),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2341,f290])).
% 3.41/0.88 fof(f2343,plain,(
% 3.41/0.88 ![X0,X1]: (~ssList(cons(X0,X1))|nil=cons(X0,X1)|~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|X1=skaf82(cons(X0,X1)))),
% 3.41/0.88 inference(resolution,[status(thm)],[f315,f407])).
% 3.41/0.88 fof(f2344,plain,(
% 3.41/0.88 ![X0,X1]: (nil=cons(X0,X1)|~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|X1=skaf82(cons(X0,X1)))),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2343,f290])).
% 3.41/0.88 fof(f2365,plain,(
% 3.41/0.88 spl0_196 <=> hd(sk1)=hd(sk7)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2366,plain,(
% 3.41/0.88 hd(sk1)=hd(sk7)|~spl0_196),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2365])).
% 3.41/0.88 fof(f2368,plain,(
% 3.41/0.88 ~ssList(app(sk1,app(sk1,sk8)))|~ssList(sk7)|nil=sk7|hd(sk1)=hd(sk7)|~spl0_77),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f1161,f337])).
% 3.41/0.88 fof(f2369,plain,(
% 3.41/0.88 ~spl0_89|~spl0_15|spl0_94|spl0_196|~spl0_77),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2368,f1285,f578,f1314,f2365,f1160])).
% 3.41/0.88 fof(f2672,plain,(
% 3.41/0.88 ~app(nil,sk1)=sk1|~spl0_94|spl0_129),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f1315,f1668])).
% 3.41/0.88 fof(f2673,plain,(
% 3.41/0.88 ~ssList(sk1)|~spl0_94|spl0_129),
% 3.41/0.88 inference(resolution,[status(thm)],[f2672,f278])).
% 3.41/0.88 fof(f2674,plain,(
% 3.41/0.88 $false|~spl0_94|spl0_129),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2673,f434])).
% 3.41/0.88 fof(f2675,plain,(
% 3.41/0.88 ~spl0_94|spl0_129),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f2674])).
% 3.41/0.88 fof(f2676,plain,(
% 3.41/0.88 sk5=hd(sk7)|~spl0_176|~spl0_196),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f2243,f2366])).
% 3.41/0.88 fof(f2682,plain,(
% 3.41/0.88 spl0_239 <=> cons(sk5,tl(sk7))=sk7),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2683,plain,(
% 3.41/0.88 cons(sk5,tl(sk7))=sk7|~spl0_239),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2682])).
% 3.41/0.88 fof(f2685,plain,(
% 3.41/0.88 ~ssList(sk7)|cons(sk5,tl(sk7))=sk7|nil=sk7|~spl0_176|~spl0_196),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f2676,f310])).
% 3.41/0.88 fof(f2686,plain,(
% 3.41/0.88 ~spl0_15|spl0_239|spl0_94|~spl0_176|~spl0_196),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2685,f578,f2682,f1314,f2242,f2365])).
% 3.41/0.88 fof(f2737,plain,(
% 3.41/0.88 spl0_242 <=> ssList(tl(sk7))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2739,plain,(
% 3.41/0.88 ~ssList(tl(sk7))|spl0_242),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2737])).
% 3.41/0.88 fof(f2742,plain,(
% 3.41/0.88 spl0_243 <=> frontsegP(sk1,sk7)),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2856,plain,(
% 3.41/0.88 ~ssList(sk7)|nil=sk7|spl0_242),
% 3.41/0.88 inference(resolution,[status(thm)],[f2739,f279])).
% 3.41/0.88 fof(f2857,plain,(
% 3.41/0.88 ~spl0_15|spl0_94|spl0_242),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2856,f578,f1314,f2737])).
% 3.41/0.88 fof(f2861,plain,(
% 3.41/0.88 spl0_265 <=> frontsegP(nil,tl(sk7))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2862,plain,(
% 3.41/0.88 frontsegP(nil,tl(sk7))|~spl0_265),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2861])).
% 3.41/0.88 fof(f2864,plain,(
% 3.41/0.88 ~frontsegP(sk1,sk7)|~ssList(tl(sk7))|~ssItem(sk5)|frontsegP(nil,tl(sk7))|~spl0_161|~spl0_239),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f2683,f2134])).
% 3.41/0.88 fof(f2865,plain,(
% 3.41/0.88 ~spl0_243|~spl0_242|~spl0_16|spl0_265|~spl0_161|~spl0_239),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2864,f2742,f2737,f594,f2861,f2133,f2682])).
% 3.41/0.88 fof(f2964,plain,(
% 3.41/0.88 ![X0,X1]: (~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|skaf83(cons(X0,X1))=X0)),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2342,f303])).
% 3.41/0.88 fof(f2967,plain,(
% 3.41/0.88 spl0_271 <=> ssItem(skaf83(sk7))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2969,plain,(
% 3.41/0.88 ~ssItem(skaf83(sk7))|spl0_271),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2967])).
% 3.41/0.88 fof(f2970,plain,(
% 3.41/0.88 spl0_272 <=> ssList(skaf82(cons(sk5,tl(sk7))))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2972,plain,(
% 3.41/0.88 ~ssList(skaf82(cons(sk5,tl(sk7))))|spl0_272),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2970])).
% 3.41/0.88 fof(f2973,plain,(
% 3.41/0.88 spl0_273 <=> skaf83(cons(sk5,tl(sk7)))=sk5),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f2974,plain,(
% 3.41/0.88 skaf83(cons(sk5,tl(sk7)))=sk5|~spl0_273),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2973])).
% 3.41/0.88 fof(f2976,plain,(
% 3.41/0.88 ~ssItem(sk5)|~ssItem(skaf83(sk7))|~ssList(tl(sk7))|~ssList(skaf82(cons(sk5,tl(sk7))))|skaf83(cons(sk5,tl(sk7)))=sk5|~spl0_239),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f2683,f2964])).
% 3.41/0.88 fof(f2977,plain,(
% 3.41/0.88 ~spl0_16|~spl0_271|~spl0_242|~spl0_272|spl0_273|~spl0_239),
% 3.41/0.88 inference(split_clause,[status(thm)],[f2976,f594,f2967,f2737,f2970,f2973,f2682])).
% 3.41/0.88 fof(f2990,plain,(
% 3.41/0.88 ~ssList(skaf82(sk7))|~spl0_239|spl0_272),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f2683,f2972])).
% 3.41/0.88 fof(f2991,plain,(
% 3.41/0.88 $false|~spl0_239|spl0_272),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2990,f216])).
% 3.41/0.88 fof(f2992,plain,(
% 3.41/0.88 ~spl0_239|spl0_272),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f2991])).
% 3.41/0.88 fof(f2993,plain,(
% 3.41/0.88 $false|spl0_271),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2969,f215])).
% 3.41/0.88 fof(f2994,plain,(
% 3.41/0.88 spl0_271),
% 3.41/0.88 inference(contradiction_clause,[status(thm)],[f2993])).
% 3.41/0.88 fof(f2998,plain,(
% 3.41/0.88 skaf83(sk7)=sk5|~spl0_239|~spl0_273),
% 3.41/0.88 inference(forward_demodulation,[status(thm)],[f2683,f2974])).
% 3.41/0.88 fof(f2999,plain,(
% 3.41/0.88 spl0_276 <=> cons(sk5,skaf82(sk7))=sk7),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f3000,plain,(
% 3.41/0.88 cons(sk5,skaf82(sk7))=sk7|~spl0_276),
% 3.41/0.88 inference(component_clause,[status(thm)],[f2999])).
% 3.41/0.88 fof(f3002,plain,(
% 3.41/0.88 ~ssList(sk7)|cons(sk5,skaf82(sk7))=sk7|nil=sk7|~spl0_239|~spl0_273),
% 3.41/0.88 inference(paramodulation,[status(thm)],[f2998,f315])).
% 3.41/0.88 fof(f3003,plain,(
% 3.41/0.88 ~spl0_15|spl0_276|spl0_94|~spl0_239|~spl0_273),
% 3.41/0.88 inference(split_clause,[status(thm)],[f3002,f578,f2999,f1314,f2682,f2973])).
% 3.41/0.88 fof(f3005,plain,(
% 3.41/0.88 ![X0,X1]: (~ssItem(X0)|~ssItem(skaf83(cons(X0,X1)))|~ssList(X1)|~ssList(skaf82(cons(X0,X1)))|X1=skaf82(cons(X0,X1)))),
% 3.41/0.88 inference(forward_subsumption_resolution,[status(thm)],[f2344,f303])).
% 3.41/0.88 fof(f3008,plain,(
% 3.41/0.88 spl0_277 <=> tl(sk7)=skaf82(cons(sk5,tl(sk7)))),
% 3.41/0.88 introduced(split_symbol_definition)).
% 3.41/0.88 fof(f3009,plain,(
% 3.41/0.88 tl(sk7)=skaf82(cons(sk5,tl(sk7)))|~spl0_277),
% 3.41/0.89 inference(component_clause,[status(thm)],[f3008])).
% 3.41/0.89 fof(f3011,plain,(
% 3.41/0.89 ~ssItem(sk5)|~ssItem(skaf83(sk7))|~ssList(tl(sk7))|~ssList(skaf82(cons(sk5,tl(sk7))))|tl(sk7)=skaf82(cons(sk5,tl(sk7)))|~spl0_239),
% 3.41/0.89 inference(paramodulation,[status(thm)],[f2683,f3005])).
% 3.41/0.89 fof(f3012,plain,(
% 3.41/0.89 ~spl0_16|~spl0_271|~spl0_242|~spl0_272|spl0_277|~spl0_239),
% 3.41/0.89 inference(split_clause,[status(thm)],[f3011,f594,f2967,f2737,f2970,f3008,f2682])).
% 3.41/0.89 fof(f3019,plain,(
% 3.41/0.89 tl(sk7)=skaf82(sk7)|~spl0_239|~spl0_277),
% 3.41/0.89 inference(forward_demodulation,[status(thm)],[f2683,f3009])).
% 3.41/0.89 fof(f3035,plain,(
% 3.41/0.89 spl0_280 <=> ssList(skaf82(sk7))),
% 3.41/0.89 introduced(split_symbol_definition)).
% 3.41/0.89 fof(f3037,plain,(
% 3.41/0.89 ~ssList(skaf82(sk7))|spl0_280),
% 3.41/0.89 inference(component_clause,[status(thm)],[f3035])).
% 3.41/0.89 fof(f3066,plain,(
% 3.41/0.89 spl0_282 <=> ssList(skaf82(cons(sk5,skaf82(sk7))))),
% 3.41/0.89 introduced(split_symbol_definition)).
% 3.41/0.89 fof(f3068,plain,(
% 3.41/0.89 ~ssList(skaf82(cons(sk5,skaf82(sk7))))|spl0_282),
% 3.41/0.89 inference(component_clause,[status(thm)],[f3066])).
% 3.41/0.89 fof(f3098,plain,(
% 3.41/0.89 spl0_288 <=> nil=skaf82(sk7)),
% 3.41/0.89 introduced(split_symbol_definition)).
% 3.41/0.89 fof(f3099,plain,(
% 3.41/0.89 nil=skaf82(sk7)|~spl0_288),
% 3.41/0.89 inference(component_clause,[status(thm)],[f3098])).
% 3.41/0.89 fof(f3597,plain,(
% 3.41/0.89 ~ssList(sk7)|frontsegP(sk1,sk7)|~ssList(sk7)|~spl0_151),
% 3.41/0.89 inference(resolution,[status(thm)],[f2065,f264])).
% 3.41/0.89 fof(f3598,plain,(
% 3.41/0.89 ~spl0_15|spl0_243|~spl0_151),
% 3.41/0.89 inference(split_clause,[status(thm)],[f3597,f578,f2742,f2064])).
% 3.41/0.89 fof(f3599,plain,(
% 3.41/0.89 frontsegP(nil,skaf82(sk7))|~spl0_239|~spl0_277|~spl0_265),
% 3.41/0.89 inference(forward_demodulation,[status(thm)],[f3019,f2862])).
% 3.41/0.89 fof(f3697,plain,(
% 3.41/0.89 ~ssList(skaf82(sk7))|nil=skaf82(sk7)|~spl0_239|~spl0_277|~spl0_265),
% 3.41/0.89 inference(resolution,[status(thm)],[f3599,f288])).
% 3.41/0.89 fof(f3698,plain,(
% 3.41/0.89 ~spl0_280|spl0_288|~spl0_239|~spl0_277|~spl0_265),
% 3.41/0.89 inference(split_clause,[status(thm)],[f3697,f3035,f3098,f2682,f3008,f2861])).
% 3.41/0.89 fof(f3711,plain,(
% 3.41/0.89 cons(sk5,nil)=sk7|~spl0_288|~spl0_276),
% 3.41/0.89 inference(backward_demodulation,[status(thm)],[f3099,f3000])).
% 3.41/0.89 fof(f3712,plain,(
% 3.41/0.89 sk1=sk7|~spl0_58|~spl0_5|~spl0_288|~spl0_276),
% 3.41/0.89 inference(forward_demodulation,[status(thm)],[f1029,f3711])).
% 3.41/0.89 fof(f3742,plain,(
% 3.41/0.89 ~app(sk1,nil)=sk1|~spl0_58|~spl0_5|~spl0_288|~spl0_276|spl0_130),
% 3.41/0.89 inference(backward_demodulation,[status(thm)],[f3712,f1679])).
% 3.41/0.89 fof(f3743,plain,(
% 3.41/0.89 ~sk1=sk1|~spl0_97|~spl0_58|~spl0_5|~spl0_288|~spl0_276|spl0_130),
% 3.41/0.89 inference(forward_demodulation,[status(thm)],[f1339,f3742])).
% 3.41/0.89 fof(f3744,plain,(
% 3.41/0.89 $false|~spl0_97|~spl0_58|~spl0_5|~spl0_288|~spl0_276|spl0_130),
% 3.41/0.89 inference(trivial_equality_resolution,[status(esa)],[f3743])).
% 3.41/0.89 fof(f3745,plain,(
% 3.41/0.89 ~spl0_97|~spl0_58|~spl0_5|~spl0_288|~spl0_276|spl0_130),
% 3.41/0.89 inference(contradiction_clause,[status(thm)],[f3744])).
% 3.41/0.89 fof(f3746,plain,(
% 3.41/0.89 $false|spl0_280),
% 3.41/0.89 inference(forward_subsumption_resolution,[status(thm)],[f3037,f216])).
% 3.41/0.89 fof(f3747,plain,(
% 3.41/0.89 spl0_280),
% 3.41/0.89 inference(contradiction_clause,[status(thm)],[f3746])).
% 3.41/0.89 fof(f3759,plain,(
% 3.41/0.89 $false|spl0_282),
% 3.41/0.89 inference(forward_subsumption_resolution,[status(thm)],[f3068,f216])).
% 3.41/0.89 fof(f3760,plain,(
% 3.41/0.89 spl0_282),
% 3.41/0.89 inference(contradiction_clause,[status(thm)],[f3759])).
% 3.41/0.89 fof(f3774,plain,(
% 3.41/0.89 ~ssList(sk8)|~ssList(sk1)|nil=sk1|~spl0_82),
% 3.41/0.89 inference(resolution,[status(thm)],[f1190,f331])).
% 3.41/0.89 fof(f3775,plain,(
% 3.41/0.89 ~spl0_7|~spl0_12|spl0_40|~spl0_82),
% 3.41/0.89 inference(split_clause,[status(thm)],[f3774,f517,f542,f796,f1189])).
% 3.41/0.89 fof(f3857,plain,(
% 3.41/0.89 $false),
% 3.41/0.89 inference(sat_refutation,[status(thm)],[f469,f478,f537,f539,f546,f565,f567,f582,f584,f588,f598,f600,f613,f626,f700,f790,f795,f826,f886,f911,f917,f971,f1072,f1164,f1248,f1306,f1332,f1338,f1370,f1670,f1681,f2068,f2137,f2246,f2369,f2675,f2686,f2857,f2865,f2977,f2992,f2994,f3003,f3012,f3598,f3698,f3745,f3747,f3760,f3775])).
% 3.41/0.89 % SZS output end CNFRefutation for theBenchmark.p
% 3.41/0.90 % Elapsed time: 0.551079 seconds
% 3.41/0.90 % CPU time: 3.955553 seconds
% 3.41/0.90 % Memory used: 102.868 MB
%------------------------------------------------------------------------------