TSTP Solution File: SWC340-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC340-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:45:24 EDT 2024

% Result   : Unsatisfiable 199.97s 25.41s
% Output   : CNFRefutation 199.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SWC340-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n012.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue Apr 30 00:04:41 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 199.97/25.41  % Refutation found
% 199.97/25.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 199.97/25.41  % SZS output start CNFRefutation for theBenchmark
% 199.97/25.41  fof(f8,axiom,(
% 199.97/25.41    ssList(nil) ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f9,axiom,(
% 199.97/25.41    ssItem(skac3) ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f27,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf68(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f28,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf67(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f29,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf66(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f30,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf65(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f31,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf64(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f32,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf63(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f33,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf62(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f34,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf61(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f35,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf60(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f36,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf59(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f37,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf58(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f38,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf57(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f39,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf56(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f40,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf55(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f41,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf54(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f42,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf53(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f43,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf52(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f44,axiom,(
% 199.97/25.41    (![U]: (ssList(skaf51(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f45,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf50(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f46,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf49(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f47,axiom,(
% 199.97/25.41    (![U]: (ssItem(skaf44(U)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f50,axiom,(
% 199.97/25.41    (![U,V]: (ssList(skaf46(U,V)) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f54,axiom,(
% 199.97/25.41    skac3 != skac2 ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f56,axiom,(
% 199.97/25.41    (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f73,axiom,(
% 199.97/25.41    (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f74,axiom,(
% 199.97/25.41    (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f86,axiom,(
% 199.97/25.41    (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f91,axiom,(
% 199.97/25.41    (![U]: (( ~ leq(skaf64(U),skaf65(U))| ~ ssList(U)| totalorderedP(U) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f98,axiom,(
% 199.97/25.41    (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f99,axiom,(
% 199.97/25.41    (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f103,axiom,(
% 199.97/25.41    (![U,V]: (( ~ lt(U,V)| ~ ssItem(V)| ~ ssItem(U)| leq(U,V) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f164,axiom,(
% 199.97/25.41    (![U]: (( ~ ssList(U)| totalorderedP(U)| app(app(skaf66(U),cons(skaf64(U),skaf67(U))),cons(skaf65(U),skaf68(U))) = U ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f181,axiom,(
% 199.97/25.41    (![U,V,W,X,Y,Z]: (( app(app(U,cons(V,W)),cons(X,Y)) != Z| ~ ssList(Y)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(X)| ~ ssItem(V)| ~ strictorderedP(Z)| ~ ssList(Z)| lt(V,X) ) ))),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f186,negated_conjecture,(
% 199.97/25.41    ssList(sk1) ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f190,negated_conjecture,(
% 199.97/25.41    sk2 = sk4 ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f191,negated_conjecture,(
% 199.97/25.41    sk1 = sk3 ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f192,negated_conjecture,(
% 199.97/25.41    segmentP(sk4,sk3) ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f193,negated_conjecture,(
% 199.97/25.41    strictorderedP(sk3) ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f194,negated_conjecture,(
% 199.97/25.41    ( ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 199.97/25.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 199.97/25.41  fof(f202,plain,(
% 199.97/25.41    ssList(nil)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f8])).
% 199.97/25.41  fof(f203,plain,(
% 199.97/25.41    ssItem(skac3)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f9])).
% 199.97/25.41  fof(f221,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf68(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f27])).
% 199.97/25.41  fof(f222,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf67(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f28])).
% 199.97/25.41  fof(f223,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf66(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f29])).
% 199.97/25.41  fof(f224,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf65(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f30])).
% 199.97/25.41  fof(f225,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf64(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f31])).
% 199.97/25.41  fof(f226,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf63(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f32])).
% 199.97/25.41  fof(f227,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf62(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f33])).
% 199.97/25.41  fof(f228,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf61(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f34])).
% 199.97/25.41  fof(f229,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf60(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f35])).
% 199.97/25.41  fof(f230,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf59(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f36])).
% 199.97/25.41  fof(f231,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf58(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f37])).
% 199.97/25.41  fof(f232,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf57(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f38])).
% 199.97/25.41  fof(f233,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf56(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f39])).
% 199.97/25.41  fof(f234,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf55(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f40])).
% 199.97/25.41  fof(f235,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf54(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f41])).
% 199.97/25.41  fof(f236,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf53(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f42])).
% 199.97/25.41  fof(f237,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf52(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f43])).
% 199.97/25.41  fof(f238,plain,(
% 199.97/25.41    ![X0]: (ssList(skaf51(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f44])).
% 199.97/25.41  fof(f239,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf50(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f45])).
% 199.97/25.41  fof(f240,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf49(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f46])).
% 199.97/25.41  fof(f241,plain,(
% 199.97/25.41    ![X0]: (ssItem(skaf44(X0)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f47])).
% 199.97/25.41  fof(f244,plain,(
% 199.97/25.41    ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f50])).
% 199.97/25.41  fof(f248,plain,(
% 199.97/25.41    ~skac3=skac2),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f54])).
% 199.97/25.41  fof(f250,plain,(
% 199.97/25.41    ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f56])).
% 199.97/25.41  fof(f268,plain,(
% 199.97/25.41    ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f73])).
% 199.97/25.41  fof(f269,plain,(
% 199.97/25.41    ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f74])).
% 199.97/25.41  fof(f281,plain,(
% 199.97/25.41    ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f86])).
% 199.97/25.41  fof(f286,plain,(
% 199.97/25.41    ![X0]: (~leq(skaf64(X0),skaf65(X0))|~ssList(X0)|totalorderedP(X0))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f91])).
% 199.97/25.41  fof(f293,plain,(
% 199.97/25.41    ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 199.97/25.41    inference(miniscoping,[status(esa)],[f98])).
% 199.97/25.41  fof(f294,plain,(
% 199.97/25.41    ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f293])).
% 199.97/25.41  fof(f295,plain,(
% 199.97/25.41    ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 199.97/25.41    inference(miniscoping,[status(esa)],[f99])).
% 199.97/25.41  fof(f296,plain,(
% 199.97/25.41    ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f295])).
% 199.97/25.41  fof(f300,plain,(
% 199.97/25.41    ![X0,X1]: (~lt(X0,X1)|~ssItem(X1)|~ssItem(X0)|leq(X0,X1))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f103])).
% 199.97/25.41  fof(f389,plain,(
% 199.97/25.41    ![X0]: (~ssList(X0)|totalorderedP(X0)|app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0)))=X0)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f164])).
% 199.97/25.41  fof(f415,plain,(
% 199.97/25.41    ![V,X]: ((![Z]: (((((![U]: ((![W]: ((![Y]: (~app(app(U,cons(V,W)),cons(X,Y))=Z|~ssList(Y)))|~ssList(W)))|~ssList(U)))|~ssItem(X))|~ssItem(V))|~strictorderedP(Z))|~ssList(Z)))|lt(V,X))),
% 199.97/25.41    inference(miniscoping,[status(esa)],[f181])).
% 199.97/25.41  fof(f416,plain,(
% 199.97/25.41    ![X0,X1,X2,X3,X4,X5]: (~app(app(X0,cons(X1,X2)),cons(X3,X4))=X5|~ssList(X4)|~ssList(X2)|~ssList(X0)|~ssItem(X3)|~ssItem(X1)|~strictorderedP(X5)|~ssList(X5)|lt(X1,X3))),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f415])).
% 199.97/25.41  fof(f425,plain,(
% 199.97/25.41    ssList(sk1)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f186])).
% 199.97/25.41  fof(f429,plain,(
% 199.97/25.41    sk2=sk4),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f190])).
% 199.97/25.41  fof(f430,plain,(
% 199.97/25.41    sk1=sk3),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f191])).
% 199.97/25.41  fof(f431,plain,(
% 199.97/25.41    segmentP(sk4,sk3)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f192])).
% 199.97/25.41  fof(f432,plain,(
% 199.97/25.41    strictorderedP(sk3)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f193])).
% 199.97/25.41  fof(f433,plain,(
% 199.97/25.41    ~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 199.97/25.41    inference(cnf_transformation,[status(esa)],[f194])).
% 199.97/25.41  fof(f441,plain,(
% 199.97/25.41    spl0_2 <=> segmentP(sk2,sk1)),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f443,plain,(
% 199.97/25.41    ~segmentP(sk2,sk1)|spl0_2),
% 199.97/25.41    inference(component_clause,[status(thm)],[f441])).
% 199.97/25.41  fof(f444,plain,(
% 199.97/25.41    spl0_3 <=> totalorderedP(sk1)),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f447,plain,(
% 199.97/25.41    ~spl0_2|~spl0_3),
% 199.97/25.41    inference(split_clause,[status(thm)],[f433,f441,f444])).
% 199.97/25.41  fof(f474,plain,(
% 199.97/25.41    ![X0,X1,X2,X3,X4]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssItem(X4)|~strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))|~ssList(app(app(X2,cons(X4,X1)),cons(X3,X0)))|lt(X4,X3))),
% 199.97/25.41    inference(destructive_equality_resolution,[status(esa)],[f416])).
% 199.97/25.41  fof(f479,plain,(
% 199.97/25.41    segmentP(sk2,sk3)),
% 199.97/25.41    inference(forward_demodulation,[status(thm)],[f429,f431])).
% 199.97/25.41  fof(f480,plain,(
% 199.97/25.41    segmentP(sk2,sk1)),
% 199.97/25.41    inference(forward_demodulation,[status(thm)],[f430,f479])).
% 199.97/25.41  fof(f481,plain,(
% 199.97/25.41    strictorderedP(sk1)),
% 199.97/25.41    inference(forward_demodulation,[status(thm)],[f430,f432])).
% 199.97/25.41  fof(f482,plain,(
% 199.97/25.41    $false|spl0_2),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f443,f480])).
% 199.97/25.41  fof(f483,plain,(
% 199.97/25.41    spl0_2),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f482])).
% 199.97/25.41  fof(f506,plain,(
% 199.97/25.41    spl0_9 <=> ssList(sk1)),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f508,plain,(
% 199.97/25.41    ~ssList(sk1)|spl0_9),
% 199.97/25.41    inference(component_clause,[status(thm)],[f506])).
% 199.97/25.41  fof(f578,plain,(
% 199.97/25.41    $false|spl0_9),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f508,f425])).
% 199.97/25.41  fof(f579,plain,(
% 199.97/25.41    spl0_9),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f578])).
% 199.97/25.41  fof(f645,plain,(
% 199.97/25.41    ![X0]: (~cons(X0,sk1)=sk1|~ssItem(X0))),
% 199.97/25.41    inference(resolution,[status(thm)],[f296,f425])).
% 199.97/25.41  fof(f647,plain,(
% 199.97/25.41    ~cons(skac3,sk1)=sk1),
% 199.97/25.41    inference(resolution,[status(thm)],[f645,f203])).
% 199.97/25.41  fof(f655,plain,(
% 199.97/25.41    spl0_26 <=> ~app(X0,sk1)=app(X0,sk1)|~ssList(X0)),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f656,plain,(
% 199.97/25.41    ![X0]: (~app(X0,sk1)=app(X0,sk1)|~ssList(X0)|~spl0_26)),
% 199.97/25.41    inference(component_clause,[status(thm)],[f655])).
% 199.97/25.41  fof(f698,plain,(
% 199.97/25.41    spl0_31 <=> skac3=skac2),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f699,plain,(
% 199.97/25.41    skac3=skac2|~spl0_31),
% 199.97/25.41    inference(component_clause,[status(thm)],[f698])).
% 199.97/25.41  fof(f736,plain,(
% 199.97/25.41    ![X0]: (~cons(X0,nil)=nil|~ssItem(X0))),
% 199.97/25.41    inference(resolution,[status(thm)],[f202,f296])).
% 199.97/25.41  fof(f737,plain,(
% 199.97/25.41    spl0_36 <=> segmentP(nil,nil)),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f739,plain,(
% 199.97/25.41    ~segmentP(nil,nil)|spl0_36),
% 199.97/25.41    inference(component_clause,[status(thm)],[f737])).
% 199.97/25.41  fof(f1599,plain,(
% 199.97/25.41    spl0_41 <=> ~ssItem(skaf44(X0))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f1600,plain,(
% 199.97/25.41    ![X0]: (~ssItem(skaf44(X0))|~spl0_41)),
% 199.97/25.41    inference(component_clause,[status(thm)],[f1599])).
% 199.97/25.41  fof(f1606,plain,(
% 199.97/25.41    spl0_42 <=> ~ssItem(skaf49(X0))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f1607,plain,(
% 199.97/25.41    ![X0]: (~ssItem(skaf49(X0))|~spl0_42)),
% 199.97/25.41    inference(component_clause,[status(thm)],[f1606])).
% 199.97/25.41  fof(f1613,plain,(
% 199.97/25.41    spl0_43 <=> ~ssItem(skaf50(X0))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f1614,plain,(
% 199.97/25.41    ![X0]: (~ssItem(skaf50(X0))|~spl0_43)),
% 199.97/25.41    inference(component_clause,[status(thm)],[f1613])).
% 199.97/25.41  fof(f3432,plain,(
% 199.97/25.41    app(nil,sk1)=sk1),
% 199.97/25.41    inference(resolution,[status(thm)],[f269,f425])).
% 199.97/25.41  fof(f3501,plain,(
% 199.97/25.41    app(sk1,nil)=sk1),
% 199.97/25.41    inference(resolution,[status(thm)],[f268,f425])).
% 199.97/25.41  fof(f3570,plain,(
% 199.97/25.41    ~cons(skac3,nil)=nil),
% 199.97/25.41    inference(resolution,[status(thm)],[f736,f203])).
% 199.97/25.41  fof(f3762,plain,(
% 199.97/25.41    spl0_82 <=> app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1)))=sk1),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3763,plain,(
% 199.97/25.41    app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1)))=sk1|~spl0_82),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3762])).
% 199.97/25.41  fof(f3765,plain,(
% 199.97/25.41    totalorderedP(sk1)|app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1)))=sk1),
% 199.97/25.41    inference(resolution,[status(thm)],[f389,f425])).
% 199.97/25.41  fof(f3766,plain,(
% 199.97/25.41    spl0_3|spl0_82),
% 199.97/25.41    inference(split_clause,[status(thm)],[f3765,f444,f3762])).
% 199.97/25.41  fof(f3819,plain,(
% 199.97/25.41    spl0_88 <=> ssList(skaf68(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3821,plain,(
% 199.97/25.41    ~ssList(skaf68(sk1))|spl0_88),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3819])).
% 199.97/25.41  fof(f3822,plain,(
% 199.97/25.41    spl0_89 <=> ssList(skaf67(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3824,plain,(
% 199.97/25.41    ~ssList(skaf67(sk1))|spl0_89),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3822])).
% 199.97/25.41  fof(f3825,plain,(
% 199.97/25.41    spl0_90 <=> ssList(skaf66(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3827,plain,(
% 199.97/25.41    ~ssList(skaf66(sk1))|spl0_90),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3825])).
% 199.97/25.41  fof(f3828,plain,(
% 199.97/25.41    spl0_91 <=> ssItem(skaf65(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3830,plain,(
% 199.97/25.41    ~ssItem(skaf65(sk1))|spl0_91),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3828])).
% 199.97/25.41  fof(f3831,plain,(
% 199.97/25.41    spl0_92 <=> ssItem(skaf64(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3833,plain,(
% 199.97/25.41    ~ssItem(skaf64(sk1))|spl0_92),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3831])).
% 199.97/25.41  fof(f3837,plain,(
% 199.97/25.41    spl0_94 <=> lt(skaf64(sk1),skaf65(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3838,plain,(
% 199.97/25.41    lt(skaf64(sk1),skaf65(sk1))|~spl0_94),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3837])).
% 199.97/25.41  fof(f3848,plain,(
% 199.97/25.41    spl0_97 <=> leq(skaf64(sk1),skaf65(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3849,plain,(
% 199.97/25.41    leq(skaf64(sk1),skaf65(sk1))|~spl0_97),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3848])).
% 199.97/25.41  fof(f3861,plain,(
% 199.97/25.41    spl0_100 <=> strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f3863,plain,(
% 199.97/25.41    ~strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))|spl0_100),
% 199.97/25.41    inference(component_clause,[status(thm)],[f3861])).
% 199.97/25.41  fof(f3864,plain,(
% 199.97/25.41    ~ssList(skaf68(sk1))|~ssList(skaf67(sk1))|~ssList(skaf66(sk1))|~ssItem(skaf65(sk1))|~ssItem(skaf64(sk1))|~strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))|~ssList(sk1)|lt(skaf64(sk1),skaf65(sk1))|~spl0_82),
% 199.97/25.41    inference(paramodulation,[status(thm)],[f3763,f474])).
% 199.97/25.41  fof(f3865,plain,(
% 199.97/25.41    ~spl0_88|~spl0_89|~spl0_90|~spl0_91|~spl0_92|~spl0_100|~spl0_9|spl0_94|~spl0_82),
% 199.97/25.41    inference(split_clause,[status(thm)],[f3864,f3819,f3822,f3825,f3828,f3831,f3861,f506,f3837,f3762])).
% 199.97/25.41  fof(f3940,plain,(
% 199.97/25.41    ~strictorderedP(sk1)|~spl0_82|spl0_100),
% 199.97/25.41    inference(forward_demodulation,[status(thm)],[f3763,f3863])).
% 199.97/25.41  fof(f3941,plain,(
% 199.97/25.41    $false|~spl0_82|spl0_100),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f3940,f481])).
% 199.97/25.41  fof(f3942,plain,(
% 199.97/25.41    ~spl0_82|spl0_100),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f3941])).
% 199.97/25.41  fof(f3956,plain,(
% 199.97/25.41    $false|spl0_92),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f3833,f225])).
% 199.97/25.41  fof(f3957,plain,(
% 199.97/25.41    spl0_92),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f3956])).
% 199.97/25.41  fof(f3958,plain,(
% 199.97/25.41    $false|spl0_89),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f3824,f222])).
% 199.97/25.41  fof(f3959,plain,(
% 199.97/25.41    spl0_89),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f3958])).
% 199.97/25.41  fof(f3960,plain,(
% 199.97/25.41    $false|spl0_90),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f3827,f223])).
% 199.97/25.41  fof(f3961,plain,(
% 199.97/25.41    spl0_90),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f3960])).
% 199.97/25.41  fof(f3964,plain,(
% 199.97/25.41    $false|spl0_91),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f3830,f224])).
% 199.97/25.41  fof(f3965,plain,(
% 199.97/25.41    spl0_91),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f3964])).
% 199.97/25.41  fof(f4814,plain,(
% 199.97/25.41    $false|spl0_88),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f3821,f221])).
% 199.97/25.41  fof(f4815,plain,(
% 199.97/25.41    spl0_88),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f4814])).
% 199.97/25.41  fof(f4829,plain,(
% 199.97/25.41    $false|~spl0_31),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f699,f248])).
% 199.97/25.41  fof(f4830,plain,(
% 199.97/25.41    ~spl0_31),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f4829])).
% 199.97/25.41  fof(f4831,plain,(
% 199.97/25.41    ![X0]: (~ssList(X0)|~spl0_26)),
% 199.97/25.41    inference(trivial_equality_resolution,[status(esa)],[f656])).
% 199.97/25.41  fof(f4833,plain,(
% 199.97/25.41    $false|~spl0_41),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f241,f1600])).
% 199.97/25.41  fof(f4834,plain,(
% 199.97/25.41    ~spl0_41),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f4833])).
% 199.97/25.41  fof(f4835,plain,(
% 199.97/25.41    $false|~spl0_42),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f240,f1607])).
% 199.97/25.41  fof(f4836,plain,(
% 199.97/25.41    ~spl0_42),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f4835])).
% 199.97/25.41  fof(f4837,plain,(
% 199.97/25.41    $false|~spl0_43),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f239,f1614])).
% 199.97/25.41  fof(f4838,plain,(
% 199.97/25.41    ~spl0_43),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f4837])).
% 199.97/25.41  fof(f4840,plain,(
% 199.97/25.41    $false|~spl0_26),
% 199.97/25.41    inference(backward_subsumption_resolution,[status(thm)],[f244,f4831])).
% 199.97/25.41  fof(f4841,plain,(
% 199.97/25.41    ~spl0_26),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f4840])).
% 199.97/25.41  fof(f5018,plain,(
% 199.97/25.41    segmentP(nil,nil)),
% 199.97/25.41    inference(resolution,[status(thm)],[f202,f250])).
% 199.97/25.41  fof(f5019,plain,(
% 199.97/25.41    $false|spl0_36),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f5018,f739])).
% 199.97/25.41  fof(f5020,plain,(
% 199.97/25.41    spl0_36),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f5019])).
% 199.97/25.41  fof(f5362,plain,(
% 199.97/25.41    spl0_130 <=> app(sk1,nil)=sk1),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f5364,plain,(
% 199.97/25.41    ~app(sk1,nil)=sk1|spl0_130),
% 199.97/25.41    inference(component_clause,[status(thm)],[f5362])).
% 199.97/25.41  fof(f5367,plain,(
% 199.97/25.41    ~sk1=sk1|spl0_130),
% 199.97/25.41    inference(forward_demodulation,[status(thm)],[f3501,f5364])).
% 199.97/25.41  fof(f5368,plain,(
% 199.97/25.41    $false|spl0_130),
% 199.97/25.41    inference(trivial_equality_resolution,[status(esa)],[f5367])).
% 199.97/25.41  fof(f5369,plain,(
% 199.97/25.41    spl0_130),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f5368])).
% 199.97/25.41  fof(f5370,plain,(
% 199.97/25.41    spl0_131 <=> app(nil,sk1)=sk1),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f5372,plain,(
% 199.97/25.41    ~app(nil,sk1)=sk1|spl0_131),
% 199.97/25.41    inference(component_clause,[status(thm)],[f5370])).
% 199.97/25.41  fof(f5380,plain,(
% 199.97/25.41    ~sk1=sk1|spl0_131),
% 199.97/25.41    inference(forward_demodulation,[status(thm)],[f3432,f5372])).
% 199.97/25.41  fof(f5381,plain,(
% 199.97/25.41    $false|spl0_131),
% 199.97/25.41    inference(trivial_equality_resolution,[status(esa)],[f5380])).
% 199.97/25.41  fof(f5382,plain,(
% 199.97/25.41    spl0_131),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f5381])).
% 199.97/25.41  fof(f7131,plain,(
% 199.97/25.41    ~ssItem(skaf65(sk1))|~ssItem(skaf64(sk1))|leq(skaf64(sk1),skaf65(sk1))|~spl0_94),
% 199.97/25.41    inference(resolution,[status(thm)],[f300,f3838])).
% 199.97/25.41  fof(f7132,plain,(
% 199.97/25.41    ~spl0_91|~spl0_92|spl0_97|~spl0_94),
% 199.97/25.41    inference(split_clause,[status(thm)],[f7131,f3828,f3831,f3848,f3837])).
% 199.97/25.41  fof(f7442,plain,(
% 199.97/25.41    ![X0]: (~cons(skac3,X0)=nil|~ssList(X0))),
% 199.97/25.41    inference(resolution,[status(thm)],[f294,f203])).
% 199.97/25.41  fof(f7493,plain,(
% 199.97/25.41    ![X0]: (~ssList(X0)|ssList(cons(skac3,X0)))),
% 199.97/25.41    inference(resolution,[status(thm)],[f281,f203])).
% 199.97/25.41  fof(f7625,plain,(
% 199.97/25.41    ~cons(skac3,sk1)=nil),
% 199.97/25.41    inference(resolution,[status(thm)],[f7442,f425])).
% 199.97/25.41  fof(f7683,plain,(
% 199.97/25.41    ssList(cons(skac3,sk1))),
% 199.97/25.41    inference(resolution,[status(thm)],[f7493,f425])).
% 199.97/25.41  fof(f7698,plain,(
% 199.97/25.41    spl0_140 <=> cons(skac3,nil)=nil),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f7699,plain,(
% 199.97/25.41    cons(skac3,nil)=nil|~spl0_140),
% 199.97/25.41    inference(component_clause,[status(thm)],[f7698])).
% 199.97/25.41  fof(f7785,plain,(
% 199.97/25.41    ~cons(skac3,cons(skac3,sk1))=nil),
% 199.97/25.41    inference(resolution,[status(thm)],[f7683,f7442])).
% 199.97/25.41  fof(f7797,plain,(
% 199.97/25.41    spl0_148 <=> cons(skac3,sk1)=nil),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f7798,plain,(
% 199.97/25.41    cons(skac3,sk1)=nil|~spl0_148),
% 199.97/25.41    inference(component_clause,[status(thm)],[f7797])).
% 199.97/25.41  fof(f7805,plain,(
% 199.97/25.41    spl0_150 <=> cons(skac3,sk1)=sk1),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f7806,plain,(
% 199.97/25.41    cons(skac3,sk1)=sk1|~spl0_150),
% 199.97/25.41    inference(component_clause,[status(thm)],[f7805])).
% 199.97/25.41  fof(f7880,plain,(
% 199.97/25.41    $false|~spl0_150),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f7806,f647])).
% 199.97/25.41  fof(f7881,plain,(
% 199.97/25.41    ~spl0_150),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f7880])).
% 199.97/25.41  fof(f8025,plain,(
% 199.97/25.41    spl0_156 <=> ssList(skaf63(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8027,plain,(
% 199.97/25.41    ~ssList(skaf63(sk1))|spl0_156),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8025])).
% 199.97/25.41  fof(f8028,plain,(
% 199.97/25.41    spl0_157 <=> ssList(skaf62(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8030,plain,(
% 199.97/25.41    ~ssList(skaf62(sk1))|spl0_157),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8028])).
% 199.97/25.41  fof(f8031,plain,(
% 199.97/25.41    spl0_158 <=> ssList(skaf61(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8033,plain,(
% 199.97/25.41    ~ssList(skaf61(sk1))|spl0_158),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8031])).
% 199.97/25.41  fof(f8034,plain,(
% 199.97/25.41    spl0_159 <=> ssItem(skaf60(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8036,plain,(
% 199.97/25.41    ~ssItem(skaf60(sk1))|spl0_159),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8034])).
% 199.97/25.41  fof(f8037,plain,(
% 199.97/25.41    spl0_160 <=> ssItem(skaf59(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8039,plain,(
% 199.97/25.41    ~ssItem(skaf59(sk1))|spl0_160),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8037])).
% 199.97/25.41  fof(f8051,plain,(
% 199.97/25.41    spl0_164 <=> ssList(skaf58(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8053,plain,(
% 199.97/25.41    ~ssList(skaf58(sk1))|spl0_164),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8051])).
% 199.97/25.41  fof(f8054,plain,(
% 199.97/25.41    spl0_165 <=> ssList(skaf57(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8056,plain,(
% 199.97/25.41    ~ssList(skaf57(sk1))|spl0_165),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8054])).
% 199.97/25.41  fof(f8057,plain,(
% 199.97/25.41    spl0_166 <=> ssList(skaf56(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8059,plain,(
% 199.97/25.41    ~ssList(skaf56(sk1))|spl0_166),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8057])).
% 199.97/25.41  fof(f8060,plain,(
% 199.97/25.41    spl0_167 <=> ssItem(skaf55(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8062,plain,(
% 199.97/25.41    ~ssItem(skaf55(sk1))|spl0_167),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8060])).
% 199.97/25.41  fof(f8063,plain,(
% 199.97/25.41    spl0_168 <=> ssItem(skaf54(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8065,plain,(
% 199.97/25.41    ~ssItem(skaf54(sk1))|spl0_168),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8063])).
% 199.97/25.41  fof(f8077,plain,(
% 199.97/25.41    spl0_172 <=> ssList(skaf53(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8079,plain,(
% 199.97/25.41    ~ssList(skaf53(sk1))|spl0_172),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8077])).
% 199.97/25.41  fof(f8080,plain,(
% 199.97/25.41    spl0_173 <=> ssList(skaf52(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8082,plain,(
% 199.97/25.41    ~ssList(skaf52(sk1))|spl0_173),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8080])).
% 199.97/25.41  fof(f8083,plain,(
% 199.97/25.41    spl0_174 <=> ssList(skaf51(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8085,plain,(
% 199.97/25.41    ~ssList(skaf51(sk1))|spl0_174),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8083])).
% 199.97/25.41  fof(f8086,plain,(
% 199.97/25.41    spl0_175 <=> ssItem(skaf50(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8088,plain,(
% 199.97/25.41    ~ssItem(skaf50(sk1))|spl0_175),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8086])).
% 199.97/25.41  fof(f8089,plain,(
% 199.97/25.41    spl0_176 <=> ssItem(skaf49(sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8091,plain,(
% 199.97/25.41    ~ssItem(skaf49(sk1))|spl0_176),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8089])).
% 199.97/25.41  fof(f8131,plain,(
% 199.97/25.41    $false|spl0_176),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8091,f240])).
% 199.97/25.41  fof(f8132,plain,(
% 199.97/25.41    spl0_176),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8131])).
% 199.97/25.41  fof(f8133,plain,(
% 199.97/25.41    $false|spl0_174),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8085,f238])).
% 199.97/25.41  fof(f8134,plain,(
% 199.97/25.41    spl0_174),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8133])).
% 199.97/25.41  fof(f8135,plain,(
% 199.97/25.41    $false|spl0_173),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8082,f237])).
% 199.97/25.41  fof(f8136,plain,(
% 199.97/25.41    spl0_173),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8135])).
% 199.97/25.41  fof(f8137,plain,(
% 199.97/25.41    $false|spl0_168),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8065,f235])).
% 199.97/25.41  fof(f8138,plain,(
% 199.97/25.41    spl0_168),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8137])).
% 199.97/25.41  fof(f8139,plain,(
% 199.97/25.41    $false|spl0_166),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8059,f233])).
% 199.97/25.41  fof(f8140,plain,(
% 199.97/25.41    spl0_166),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8139])).
% 199.97/25.41  fof(f8141,plain,(
% 199.97/25.41    $false|spl0_165),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8056,f232])).
% 199.97/25.41  fof(f8142,plain,(
% 199.97/25.41    spl0_165),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8141])).
% 199.97/25.41  fof(f8143,plain,(
% 199.97/25.41    $false|spl0_160),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8039,f230])).
% 199.97/25.41  fof(f8144,plain,(
% 199.97/25.41    spl0_160),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8143])).
% 199.97/25.41  fof(f8145,plain,(
% 199.97/25.41    $false|spl0_158),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8033,f228])).
% 199.97/25.41  fof(f8146,plain,(
% 199.97/25.41    spl0_158),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8145])).
% 199.97/25.41  fof(f8147,plain,(
% 199.97/25.41    $false|spl0_157),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8030,f227])).
% 199.97/25.41  fof(f8148,plain,(
% 199.97/25.41    spl0_157),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8147])).
% 199.97/25.41  fof(f8149,plain,(
% 199.97/25.41    $false|spl0_175),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8088,f239])).
% 199.97/25.41  fof(f8150,plain,(
% 199.97/25.41    spl0_175),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8149])).
% 199.97/25.41  fof(f8151,plain,(
% 199.97/25.41    $false|spl0_172),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8079,f236])).
% 199.97/25.41  fof(f8152,plain,(
% 199.97/25.41    spl0_172),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8151])).
% 199.97/25.41  fof(f8153,plain,(
% 199.97/25.41    $false|spl0_167),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8062,f234])).
% 199.97/25.41  fof(f8154,plain,(
% 199.97/25.41    spl0_167),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8153])).
% 199.97/25.41  fof(f8155,plain,(
% 199.97/25.41    $false|spl0_164),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8053,f231])).
% 199.97/25.41  fof(f8156,plain,(
% 199.97/25.41    spl0_164),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8155])).
% 199.97/25.41  fof(f8157,plain,(
% 199.97/25.41    $false|spl0_159),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8036,f229])).
% 199.97/25.41  fof(f8158,plain,(
% 199.97/25.41    spl0_159),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8157])).
% 199.97/25.41  fof(f8159,plain,(
% 199.97/25.41    $false|spl0_156),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8027,f226])).
% 199.97/25.41  fof(f8160,plain,(
% 199.97/25.41    spl0_156),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8159])).
% 199.97/25.41  fof(f8272,plain,(
% 199.97/25.41    $false|~spl0_148),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f7798,f7625])).
% 199.97/25.41  fof(f8273,plain,(
% 199.97/25.41    ~spl0_148),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8272])).
% 199.97/25.41  fof(f8441,plain,(
% 199.97/25.41    spl0_206 <=> nil=cons(skac3,cons(skac3,sk1))),
% 199.97/25.41    introduced(split_symbol_definition)).
% 199.97/25.41  fof(f8442,plain,(
% 199.97/25.41    nil=cons(skac3,cons(skac3,sk1))|~spl0_206),
% 199.97/25.41    inference(component_clause,[status(thm)],[f8441])).
% 199.97/25.41  fof(f8542,plain,(
% 199.97/25.41    $false|~spl0_206),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f8442,f7785])).
% 199.97/25.41  fof(f8543,plain,(
% 199.97/25.41    ~spl0_206),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f8542])).
% 199.97/25.41  fof(f11363,plain,(
% 199.97/25.41    $false|~spl0_140),
% 199.97/25.41    inference(forward_subsumption_resolution,[status(thm)],[f7699,f3570])).
% 199.97/25.41  fof(f11364,plain,(
% 199.97/25.41    ~spl0_140),
% 199.97/25.41    inference(contradiction_clause,[status(thm)],[f11363])).
% 199.97/25.44  fof(f13674,plain,(
% 199.97/25.44    ~ssList(sk1)|totalorderedP(sk1)|~spl0_97),
% 199.97/25.44    inference(resolution,[status(thm)],[f286,f3849])).
% 199.97/25.44  fof(f13675,plain,(
% 199.97/25.44    ~spl0_9|spl0_3|~spl0_97),
% 199.97/25.44    inference(split_clause,[status(thm)],[f13674,f506,f444,f3848])).
% 199.97/25.44  fof(f13682,plain,(
% 199.97/25.44    $false),
% 199.97/25.44    inference(sat_refutation,[status(thm)],[f447,f483,f579,f3766,f3865,f3942,f3957,f3959,f3961,f3965,f4815,f4830,f4834,f4836,f4838,f4841,f5020,f5369,f5382,f7132,f7881,f8132,f8134,f8136,f8138,f8140,f8142,f8144,f8146,f8148,f8150,f8152,f8154,f8156,f8158,f8160,f8273,f8543,f11364,f13675])).
% 199.97/25.44  % SZS output end CNFRefutation for theBenchmark.p
% 202.13/26.65  % Elapsed time: 26.168382 seconds
% 202.13/26.65  % CPU time: 194.413056 seconds
% 202.13/26.65  % Total memory used: 593.473 MB
% 202.13/26.65  % Net memory used: 547.893 MB
%------------------------------------------------------------------------------