TSTP Solution File: SWC314-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC314-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:40:01 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC314-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 11:47:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 ssList(nil) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f34,axiom,(
% 0.13/0.37 (![U]: (ssList(skaf61(U)) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f72,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f73,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f74,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f75,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f76,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f85,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f86,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f96,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| tl(cons(U,V)) = V ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f97,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| hd(cons(U,V)) = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f98,axiom,(
% 0.13/0.37 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f100,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f118,axiom,(
% 0.13/0.37 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f120,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f150,axiom,(
% 0.13/0.37 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f151,axiom,(
% 0.13/0.37 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f157,axiom,(
% 0.13/0.37 (![U,V,W]: (( ~ ssItem(U)| ~ ssList(V)| ~ ssList(W)| cons(U,app(V,W)) = app(cons(U,V),W) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f170,axiom,(
% 0.13/0.37 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f190,negated_conjecture,(
% 0.13/0.37 sk2 = sk4 ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f191,negated_conjecture,(
% 0.13/0.37 sk1 = sk3 ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f192,negated_conjecture,(
% 0.13/0.37 ( nil = sk3| nil != sk4 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f193,negated_conjecture,(
% 0.13/0.37 (![A,B,C,D]: (( ~ ssList(A)| sk3 = A| ~ ssList(B)| ~ ssList(C)| tl(sk4) != B| app(B,C) != A| ~ ssItem(D)| cons(D,nil) != C| hd(sk4) != D| ~ neq(nil,sk4)| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f194,negated_conjecture,(
% 0.13/0.37 ( ssItem(sk5)| nil = sk2 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f195,negated_conjecture,(
% 0.13/0.37 ( ssItem(sk5)| nil != sk1 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f196,negated_conjecture,(
% 0.13/0.37 ( ssList(sk6)| nil = sk2 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f197,negated_conjecture,(
% 0.13/0.37 ( app(cons(sk5,nil),sk6) = sk2| nil = sk2 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f198,negated_conjecture,(
% 0.13/0.37 ( app(sk6,cons(sk5,nil)) != sk1| nil = sk2 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f199,negated_conjecture,(
% 0.13/0.37 ( ssList(sk6)| nil != sk1 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f200,negated_conjecture,(
% 0.13/0.37 ( app(cons(sk5,nil),sk6) = sk2| nil != sk1 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f209,plain,(
% 0.13/0.37 ssList(nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37 fof(f235,plain,(
% 0.13/0.37 ![X0]: (ssList(skaf61(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37 fof(f273,plain,(
% 0.13/0.37 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f72])).
% 0.13/0.37 fof(f274,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f273])).
% 0.13/0.37 fof(f275,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f73])).
% 0.13/0.37 fof(f276,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f74])).
% 0.13/0.37 fof(f277,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f75])).
% 0.13/0.37 fof(f278,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f76])).
% 0.13/0.37 fof(f287,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f85])).
% 0.13/0.37 fof(f288,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f86])).
% 0.13/0.37 fof(f298,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|tl(cons(X0,X1))=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f96])).
% 0.13/0.37 fof(f299,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|hd(cons(X0,X1))=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f97])).
% 0.13/0.37 fof(f300,plain,(
% 0.13/0.37 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f98])).
% 0.13/0.37 fof(f301,plain,(
% 0.13/0.37 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f300])).
% 0.13/0.37 fof(f304,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.37 fof(f328,plain,(
% 0.13/0.37 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f118])).
% 0.13/0.37 fof(f329,plain,(
% 0.13/0.37 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f328])).
% 0.13/0.37 fof(f332,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f120])).
% 0.13/0.37 fof(f371,plain,(
% 0.13/0.37 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f150])).
% 0.13/0.37 fof(f372,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f371])).
% 0.13/0.37 fof(f373,plain,(
% 0.13/0.37 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f151])).
% 0.13/0.37 fof(f374,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f373])).
% 0.13/0.37 fof(f385,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|cons(X0,app(X1,X2))=app(cons(X0,X1),X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f157])).
% 0.13/0.37 fof(f402,plain,(
% 0.13/0.37 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f170])).
% 0.13/0.37 fof(f403,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f402])).
% 0.13/0.37 fof(f436,plain,(
% 0.13/0.37 sk2=sk4),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.37 fof(f437,plain,(
% 0.13/0.37 sk1=sk3),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.37 fof(f438,plain,(
% 0.13/0.37 nil=sk3|~nil=sk4),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.37 fof(f439,plain,(
% 0.13/0.37 (((![D]: ((![C]: (((![A,B]: (((((~ssList(A)|sk3=A)|~ssList(B))|~ssList(C))|~tl(sk4)=B)|~app(B,C)=A))|~ssItem(D))|~cons(D,nil)=C))|~hd(sk4)=D))|~neq(nil,sk4))|~neq(nil,sk4))|~neq(sk4,nil)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f193])).
% 0.13/0.37 fof(f440,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|sk3=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3|~neq(nil,sk4)|~neq(nil,sk4)|~neq(sk4,nil))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f439])).
% 0.13/0.37 fof(f441,plain,(
% 0.13/0.37 ssItem(sk5)|nil=sk2),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.37 fof(f442,plain,(
% 0.13/0.37 ssItem(sk5)|~nil=sk1),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f195])).
% 0.13/0.37 fof(f443,plain,(
% 0.13/0.37 ssList(sk6)|nil=sk2),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.37 fof(f444,plain,(
% 0.13/0.37 app(cons(sk5,nil),sk6)=sk2|nil=sk2),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f197])).
% 0.13/0.37 fof(f445,plain,(
% 0.13/0.37 ~app(sk6,cons(sk5,nil))=sk1|nil=sk2),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.37 fof(f446,plain,(
% 0.13/0.37 ssList(sk6)|~nil=sk1),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.37 fof(f447,plain,(
% 0.13/0.37 app(cons(sk5,nil),sk6)=sk2|~nil=sk1),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.37 fof(f449,plain,(
% 0.13/0.37 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f452,plain,(
% 0.13/0.37 spl0_1 <=> ssItem(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f453,plain,(
% 0.13/0.37 ![X0]: (ssItem(X0)|~spl0_1)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f452])).
% 0.13/0.37 fof(f455,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f274,f449,f452])).
% 0.13/0.37 fof(f456,plain,(
% 0.13/0.37 spl0_2 <=> nil=sk3),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f457,plain,(
% 0.13/0.37 nil=sk3|~spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f456])).
% 0.13/0.37 fof(f459,plain,(
% 0.13/0.37 spl0_3 <=> nil=sk4),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f461,plain,(
% 0.13/0.37 ~nil=sk4|spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.37 fof(f462,plain,(
% 0.13/0.37 spl0_2|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f438,f456,f459])).
% 0.13/0.37 fof(f463,plain,(
% 0.13/0.37 spl0_4 <=> ~ssList(X0)|sk3=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f464,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|sk3=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3|~spl0_4)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f463])).
% 0.13/0.37 fof(f466,plain,(
% 0.13/0.37 spl0_5 <=> neq(nil,sk4)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f468,plain,(
% 0.13/0.37 ~neq(nil,sk4)|spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f466])).
% 0.13/0.37 fof(f469,plain,(
% 0.13/0.37 spl0_6 <=> neq(sk4,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f471,plain,(
% 0.13/0.37 ~neq(sk4,nil)|spl0_6),
% 0.13/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.13/0.37 fof(f472,plain,(
% 0.13/0.37 spl0_4|~spl0_5|~spl0_6),
% 0.13/0.37 inference(split_clause,[status(thm)],[f440,f463,f466,f469])).
% 0.13/0.37 fof(f473,plain,(
% 0.13/0.37 spl0_7 <=> ssItem(sk5)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f476,plain,(
% 0.13/0.37 spl0_8 <=> nil=sk2),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f477,plain,(
% 0.13/0.37 nil=sk2|~spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f476])).
% 0.13/0.37 fof(f479,plain,(
% 0.13/0.37 spl0_7|spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f441,f473,f476])).
% 0.13/0.37 fof(f480,plain,(
% 0.13/0.37 spl0_9 <=> nil=sk1),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f482,plain,(
% 0.13/0.37 ~nil=sk1|spl0_9),
% 0.13/0.37 inference(component_clause,[status(thm)],[f480])).
% 0.13/0.37 fof(f483,plain,(
% 0.13/0.37 spl0_7|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f442,f473,f480])).
% 0.13/0.37 fof(f484,plain,(
% 0.13/0.37 spl0_10 <=> ssList(sk6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f487,plain,(
% 0.13/0.37 spl0_10|spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f443,f484,f476])).
% 0.13/0.37 fof(f488,plain,(
% 0.13/0.37 spl0_11 <=> app(cons(sk5,nil),sk6)=sk2),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f489,plain,(
% 0.13/0.37 app(cons(sk5,nil),sk6)=sk2|~spl0_11),
% 0.13/0.37 inference(component_clause,[status(thm)],[f488])).
% 0.13/0.37 fof(f491,plain,(
% 0.13/0.37 spl0_11|spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f444,f488,f476])).
% 0.13/0.37 fof(f492,plain,(
% 0.13/0.37 spl0_12 <=> app(sk6,cons(sk5,nil))=sk1),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f494,plain,(
% 0.13/0.37 ~app(sk6,cons(sk5,nil))=sk1|spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f492])).
% 0.13/0.37 fof(f495,plain,(
% 0.13/0.37 ~spl0_12|spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f445,f492,f476])).
% 0.13/0.37 fof(f496,plain,(
% 0.13/0.37 spl0_10|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f446,f484,f480])).
% 0.13/0.37 fof(f497,plain,(
% 0.13/0.37 spl0_11|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f447,f488,f480])).
% 0.13/0.37 fof(f530,plain,(
% 0.13/0.37 ~nil=sk2|spl0_3),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f461])).
% 0.13/0.37 fof(f531,plain,(
% 0.13/0.37 $false|spl0_3|~spl0_8),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f477,f530])).
% 0.13/0.37 fof(f532,plain,(
% 0.13/0.37 spl0_3|~spl0_8),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f531])).
% 0.13/0.37 fof(f533,plain,(
% 0.13/0.37 nil=sk1|~spl0_2),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f437,f457])).
% 0.13/0.37 fof(f534,plain,(
% 0.13/0.37 ~neq(sk2,nil)|spl0_6),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f471])).
% 0.13/0.37 fof(f538,plain,(
% 0.13/0.37 spl0_13 <=> ssList(cons(sk5,nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f540,plain,(
% 0.13/0.37 ~ssList(cons(sk5,nil))|spl0_13),
% 0.13/0.37 inference(component_clause,[status(thm)],[f538])).
% 0.13/0.37 fof(f541,plain,(
% 0.13/0.37 spl0_14 <=> ssList(sk2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f544,plain,(
% 0.13/0.37 ~ssList(sk6)|~ssList(cons(sk5,nil))|ssList(sk2)|~spl0_11),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f489,f287])).
% 0.13/0.37 fof(f545,plain,(
% 0.13/0.37 ~spl0_10|~spl0_13|spl0_14|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f544,f484,f538,f541,f488])).
% 0.13/0.37 fof(f546,plain,(
% 0.13/0.37 ~nil=nil|~spl0_2|spl0_9),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f533,f482])).
% 0.13/0.37 fof(f547,plain,(
% 0.13/0.37 $false|~spl0_2|spl0_9),
% 0.13/0.37 inference(trivial_equality_resolution,[status(esa)],[f546])).
% 0.13/0.37 fof(f548,plain,(
% 0.13/0.37 ~spl0_2|spl0_9),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f547])).
% 0.13/0.37 fof(f549,plain,(
% 0.13/0.37 spl0_15 <=> ssList(nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f551,plain,(
% 0.13/0.37 ~ssList(nil)|spl0_15),
% 0.13/0.37 inference(component_clause,[status(thm)],[f549])).
% 0.13/0.37 fof(f552,plain,(
% 0.13/0.37 ~ssItem(sk5)|~ssList(nil)|spl0_13),
% 0.13/0.37 inference(resolution,[status(thm)],[f540,f288])).
% 0.13/0.37 fof(f553,plain,(
% 0.13/0.37 ~spl0_7|~spl0_15|spl0_13),
% 0.13/0.37 inference(split_clause,[status(thm)],[f552,f473,f549,f538])).
% 0.13/0.37 fof(f554,plain,(
% 0.13/0.37 $false|spl0_15),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f551,f209])).
% 0.13/0.37 fof(f555,plain,(
% 0.13/0.37 spl0_15),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f554])).
% 0.13/0.37 fof(f578,plain,(
% 0.13/0.37 spl0_16 <=> nil=nil),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f584,plain,(
% 0.13/0.37 spl0_17 <=> ssItem(hd(nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f586,plain,(
% 0.13/0.37 ~ssItem(hd(nil))|spl0_17),
% 0.13/0.37 inference(component_clause,[status(thm)],[f584])).
% 0.13/0.37 fof(f592,plain,(
% 0.13/0.37 spl0_19 <=> nil=cons(sk5,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f593,plain,(
% 0.13/0.37 nil=cons(sk5,nil)|~spl0_19),
% 0.13/0.37 inference(component_clause,[status(thm)],[f592])).
% 0.13/0.37 fof(f594,plain,(
% 0.13/0.37 ~nil=cons(sk5,nil)|spl0_19),
% 0.13/0.37 inference(component_clause,[status(thm)],[f592])).
% 0.13/0.37 fof(f597,plain,(
% 0.13/0.37 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.37 inference(resolution,[status(thm)],[f329,f276])).
% 0.13/0.37 fof(f598,plain,(
% 0.13/0.37 ~spl0_15|spl0_16),
% 0.13/0.37 inference(split_clause,[status(thm)],[f597,f549,f578])).
% 0.13/0.37 fof(f603,plain,(
% 0.13/0.37 spl0_20 <=> nil=sk6),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f604,plain,(
% 0.13/0.37 nil=sk6|~spl0_20),
% 0.13/0.37 inference(component_clause,[status(thm)],[f603])).
% 0.13/0.37 fof(f605,plain,(
% 0.13/0.37 ~nil=sk6|spl0_20),
% 0.13/0.37 inference(component_clause,[status(thm)],[f603])).
% 0.13/0.37 fof(f614,plain,(
% 0.13/0.37 spl0_21 <=> nil=cons(sk5,sk6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f615,plain,(
% 0.13/0.37 nil=cons(sk5,sk6)|~spl0_21),
% 0.13/0.37 inference(component_clause,[status(thm)],[f614])).
% 0.13/0.37 fof(f624,plain,(
% 0.13/0.37 spl0_23 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f627,plain,(
% 0.13/0.37 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f372,f276])).
% 0.13/0.37 fof(f628,plain,(
% 0.13/0.37 spl0_23|~spl0_15),
% 0.13/0.37 inference(split_clause,[status(thm)],[f627,f624,f549])).
% 0.13/0.37 fof(f638,plain,(
% 0.13/0.37 spl0_25 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f641,plain,(
% 0.13/0.37 spl0_26 <=> ~ssList(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f642,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~spl0_26)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f641])).
% 0.13/0.37 fof(f644,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 0.13/0.37 inference(equality_resolution,[status(esa)],[f372])).
% 0.13/0.37 fof(f645,plain,(
% 0.13/0.37 spl0_25|spl0_26),
% 0.13/0.37 inference(split_clause,[status(thm)],[f644,f638,f641])).
% 0.13/0.37 fof(f647,plain,(
% 0.13/0.37 spl0_27 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f650,plain,(
% 0.13/0.37 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f374,f275])).
% 0.13/0.37 fof(f651,plain,(
% 0.13/0.37 spl0_27|~spl0_15),
% 0.13/0.37 inference(split_clause,[status(thm)],[f650,f647,f549])).
% 0.13/0.37 fof(f694,plain,(
% 0.13/0.37 spl0_32 <=> ssItem(nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f696,plain,(
% 0.13/0.37 ~ssItem(nil)|spl0_32),
% 0.13/0.37 inference(component_clause,[status(thm)],[f694])).
% 0.13/0.37 fof(f707,plain,(
% 0.13/0.37 ~ssItem(sk5)|~ssList(nil)|~spl0_19),
% 0.13/0.37 inference(resolution,[status(thm)],[f593,f301])).
% 0.13/0.37 fof(f708,plain,(
% 0.13/0.37 ~spl0_7|~spl0_15|~spl0_19),
% 0.13/0.37 inference(split_clause,[status(thm)],[f707,f473,f549,f592])).
% 0.13/0.37 fof(f742,plain,(
% 0.13/0.37 $false|~spl0_26),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f235,f642])).
% 0.13/0.37 fof(f743,plain,(
% 0.13/0.37 ~spl0_26),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f742])).
% 0.13/0.37 fof(f744,plain,(
% 0.13/0.37 nil=cons(sk5,nil)|~spl0_20|~spl0_21),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f604,f615])).
% 0.13/0.37 fof(f747,plain,(
% 0.13/0.37 ~nil=nil|~spl0_20|~spl0_21|spl0_19),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f744,f594])).
% 0.13/0.37 fof(f748,plain,(
% 0.13/0.37 $false|~spl0_20|~spl0_21|spl0_19),
% 0.13/0.37 inference(trivial_equality_resolution,[status(esa)],[f747])).
% 0.13/0.37 fof(f749,plain,(
% 0.13/0.37 ~spl0_20|~spl0_21|spl0_19),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f748])).
% 0.13/0.37 fof(f764,plain,(
% 0.13/0.37 $false|~spl0_1|spl0_17),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f586,f453])).
% 0.13/0.37 fof(f765,plain,(
% 0.13/0.37 ~spl0_1|spl0_17),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f764])).
% 0.13/0.37 fof(f766,plain,(
% 0.13/0.37 spl0_41 <=> ssItem(hd(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f767,plain,(
% 0.13/0.37 ssItem(hd(sk4))|~spl0_41),
% 0.13/0.37 inference(component_clause,[status(thm)],[f766])).
% 0.13/0.37 fof(f768,plain,(
% 0.13/0.37 ~ssItem(hd(sk4))|spl0_41),
% 0.13/0.37 inference(component_clause,[status(thm)],[f766])).
% 0.13/0.37 fof(f771,plain,(
% 0.13/0.37 $false|~spl0_1|spl0_32),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f696,f453])).
% 0.13/0.37 fof(f772,plain,(
% 0.13/0.37 ~spl0_1|spl0_32),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f771])).
% 0.13/0.37 fof(f778,plain,(
% 0.13/0.37 spl0_42 <=> ~ssItem(X0)|~ssItem(X0)|X0=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f781,plain,(
% 0.13/0.37 spl0_43 <=> ~ssList(X1)|~ssList(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f782,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_43)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f781])).
% 0.13/0.37 fof(f784,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X0=X0)),
% 0.13/0.37 inference(equality_resolution,[status(esa)],[f403])).
% 0.13/0.37 fof(f785,plain,(
% 0.13/0.37 spl0_42|spl0_43),
% 0.13/0.37 inference(split_clause,[status(thm)],[f784,f778,f781])).
% 0.13/0.37 fof(f786,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~spl0_43)),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f782])).
% 0.13/0.37 fof(f795,plain,(
% 0.13/0.37 ~ssItem(hd(sk2))|spl0_41),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f768])).
% 0.13/0.37 fof(f796,plain,(
% 0.13/0.37 ~ssList(sk2)|nil=sk2|spl0_41),
% 0.13/0.37 inference(resolution,[status(thm)],[f795,f278])).
% 0.13/0.37 fof(f797,plain,(
% 0.13/0.37 ~spl0_14|spl0_8|spl0_41),
% 0.13/0.37 inference(split_clause,[status(thm)],[f796,f541,f476,f766])).
% 0.13/0.37 fof(f798,plain,(
% 0.13/0.37 ssItem(hd(sk2))|~spl0_41),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f767])).
% 0.13/0.37 fof(f799,plain,(
% 0.13/0.37 ~neq(nil,sk2)|spl0_5),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f468])).
% 0.13/0.37 fof(f800,plain,(
% 0.13/0.37 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_5),
% 0.13/0.37 inference(resolution,[status(thm)],[f799,f304])).
% 0.13/0.37 fof(f801,plain,(
% 0.13/0.37 ~spl0_14|~spl0_15|spl0_8|spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f800,f541,f549,f476,f466])).
% 0.13/0.37 fof(f802,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|sk1=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3|~spl0_4)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f437,f464])).
% 0.13/0.37 fof(f803,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|sk1=X0|~ssList(X1)|~ssList(X2)|~tl(sk2)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3|~spl0_4)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f802])).
% 0.13/0.37 fof(f804,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|sk1=X0|~ssList(X1)|~ssList(X2)|~tl(sk2)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk2)=X3|~spl0_4)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f436,f803])).
% 0.13/0.37 fof(f805,plain,(
% 0.13/0.37 ~ssList(app(tl(sk2),cons(hd(sk2),nil)))|sk1=app(tl(sk2),cons(hd(sk2),nil))|~ssList(tl(sk2))|~ssList(cons(hd(sk2),nil))|~ssItem(hd(sk2))|~spl0_4),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f804])).
% 0.13/0.37 fof(f807,plain,(
% 0.13/0.37 ~ssList(app(tl(sk2),cons(hd(sk2),nil)))|sk1=app(tl(sk2),cons(hd(sk2),nil))|~ssList(tl(sk2))|~ssList(cons(hd(sk2),nil))|~spl0_41|~spl0_4),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f805,f798])).
% 0.13/0.37 fof(f813,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2|~spl0_1)),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f403,f453])).
% 0.13/0.37 fof(f814,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssList(X3)|~ssList(X1)|X0=X2|~spl0_1)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f813,f453])).
% 0.13/0.37 fof(f815,plain,(
% 0.13/0.37 spl0_45 <=> X1=X1),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f818,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X0)|X1=X1|~spl0_1)),
% 0.13/0.37 inference(equality_resolution,[status(esa)],[f814])).
% 0.13/0.37 fof(f819,plain,(
% 0.13/0.37 spl0_43|spl0_45|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f818,f781,f815,f452])).
% 0.13/0.37 fof(f820,plain,(
% 0.13/0.37 spl0_26|~spl0_43),
% 0.13/0.37 inference(split_clause,[status(thm)],[f786,f641,f781])).
% 0.13/0.37 fof(f843,plain,(
% 0.13/0.37 spl0_47 <=> sk1=app(tl(sk2),cons(hd(sk2),nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f844,plain,(
% 0.13/0.37 sk1=app(tl(sk2),cons(hd(sk2),nil))|~spl0_47),
% 0.13/0.37 inference(component_clause,[status(thm)],[f843])).
% 0.13/0.37 fof(f846,plain,(
% 0.13/0.37 spl0_48 <=> ssList(tl(sk2))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f848,plain,(
% 0.13/0.37 ~ssList(tl(sk2))|spl0_48),
% 0.13/0.37 inference(component_clause,[status(thm)],[f846])).
% 0.13/0.37 fof(f849,plain,(
% 0.13/0.37 spl0_49 <=> ssList(cons(hd(sk2),nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f851,plain,(
% 0.13/0.37 ~ssList(cons(hd(sk2),nil))|spl0_49),
% 0.13/0.37 inference(component_clause,[status(thm)],[f849])).
% 0.13/0.37 fof(f852,plain,(
% 0.13/0.37 sk1=app(tl(sk2),cons(hd(sk2),nil))|~ssList(tl(sk2))|~ssList(cons(hd(sk2),nil))|~spl0_41|~spl0_4),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f807,f287])).
% 0.13/0.37 fof(f853,plain,(
% 0.13/0.37 spl0_47|~spl0_48|~spl0_49|~spl0_41|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f852,f843,f846,f849,f766,f463])).
% 0.13/0.37 fof(f857,plain,(
% 0.13/0.37 spl0_50 <=> cons(sk5,app(nil,sk6))=sk2),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f858,plain,(
% 0.13/0.37 cons(sk5,app(nil,sk6))=sk2|~spl0_50),
% 0.13/0.37 inference(component_clause,[status(thm)],[f857])).
% 0.13/0.37 fof(f860,plain,(
% 0.13/0.37 ~ssItem(sk5)|~ssList(nil)|~ssList(sk6)|cons(sk5,app(nil,sk6))=sk2|~spl0_11),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f489,f385])).
% 0.13/0.37 fof(f861,plain,(
% 0.13/0.37 ~spl0_7|~spl0_15|~spl0_10|spl0_50|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f860,f473,f549,f484,f857,f488])).
% 0.13/0.37 fof(f918,plain,(
% 0.13/0.37 spl0_54 <=> ssItem(hd(sk2))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f920,plain,(
% 0.13/0.37 ~ssItem(hd(sk2))|spl0_54),
% 0.13/0.37 inference(component_clause,[status(thm)],[f918])).
% 0.13/0.37 fof(f921,plain,(
% 0.13/0.37 ~ssItem(hd(sk2))|~ssList(nil)|spl0_49),
% 0.13/0.37 inference(resolution,[status(thm)],[f851,f288])).
% 0.13/0.37 fof(f922,plain,(
% 0.13/0.37 ~spl0_54|~spl0_15|spl0_49),
% 0.13/0.37 inference(split_clause,[status(thm)],[f921,f918,f549,f849])).
% 0.13/0.37 fof(f923,plain,(
% 0.13/0.37 $false|~spl0_41|spl0_54),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f920,f798])).
% 0.13/0.37 fof(f924,plain,(
% 0.13/0.37 ~spl0_41|spl0_54),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f923])).
% 0.13/0.37 fof(f925,plain,(
% 0.13/0.37 ~ssList(sk2)|nil=sk2|spl0_48),
% 0.13/0.37 inference(resolution,[status(thm)],[f848,f277])).
% 0.13/0.37 fof(f926,plain,(
% 0.13/0.37 ~spl0_14|spl0_8|spl0_48),
% 0.13/0.37 inference(split_clause,[status(thm)],[f925,f541,f476,f846])).
% 0.13/0.37 fof(f928,plain,(
% 0.13/0.37 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_6),
% 0.13/0.37 inference(resolution,[status(thm)],[f534,f304])).
% 0.13/0.37 fof(f929,plain,(
% 0.13/0.37 ~spl0_15|~spl0_14|spl0_8|spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f928,f549,f541,f476,f469])).
% 0.13/0.38 fof(f937,plain,(
% 0.13/0.38 spl0_56 <=> ssList(app(nil,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f939,plain,(
% 0.13/0.38 ~ssList(app(nil,sk6))|spl0_56),
% 0.13/0.38 inference(component_clause,[status(thm)],[f937])).
% 0.13/0.38 fof(f947,plain,(
% 0.13/0.38 spl0_58 <=> hd(sk2)=sk5),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f948,plain,(
% 0.13/0.38 hd(sk2)=sk5|~spl0_58),
% 0.13/0.38 inference(component_clause,[status(thm)],[f947])).
% 0.13/0.38 fof(f950,plain,(
% 0.13/0.38 ~ssItem(sk5)|~ssList(app(nil,sk6))|hd(sk2)=sk5|~spl0_50),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f858,f299])).
% 0.13/0.38 fof(f951,plain,(
% 0.13/0.38 ~spl0_7|~spl0_56|spl0_58|~spl0_50),
% 0.13/0.38 inference(split_clause,[status(thm)],[f950,f473,f937,f947,f857])).
% 0.13/0.38 fof(f952,plain,(
% 0.13/0.38 ~sk2=nil|~ssItem(sk5)|~ssList(app(nil,sk6))|~spl0_50),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f858,f301])).
% 0.13/0.38 fof(f953,plain,(
% 0.13/0.38 ~spl0_8|~spl0_7|~spl0_56|~spl0_50),
% 0.13/0.38 inference(split_clause,[status(thm)],[f952,f476,f473,f937,f857])).
% 0.13/0.38 fof(f966,plain,(
% 0.13/0.38 spl0_61 <=> nil=tl(sk2)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f967,plain,(
% 0.13/0.38 nil=tl(sk2)|~spl0_61),
% 0.13/0.38 inference(component_clause,[status(thm)],[f966])).
% 0.13/0.38 fof(f1059,plain,(
% 0.13/0.38 spl0_78 <=> sk2=cons(sk5,sk6)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f1060,plain,(
% 0.13/0.38 sk2=cons(sk5,sk6)|~spl0_78),
% 0.13/0.38 inference(component_clause,[status(thm)],[f1059])).
% 0.13/0.38 fof(f1062,plain,(
% 0.13/0.38 ~ssItem(sk5)|~ssList(sk6)|sk2=cons(sk5,sk6)|~spl0_11),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f489,f332])).
% 0.13/0.38 fof(f1063,plain,(
% 0.13/0.38 ~spl0_7|~spl0_10|spl0_78|~spl0_11),
% 0.13/0.38 inference(split_clause,[status(thm)],[f1062,f473,f484,f1059,f488])).
% 0.13/0.38 fof(f1211,plain,(
% 0.13/0.38 ~ssList(sk6)|~ssList(nil)|spl0_56),
% 0.13/0.38 inference(resolution,[status(thm)],[f939,f287])).
% 0.13/0.38 fof(f1212,plain,(
% 0.13/0.38 ~spl0_10|~spl0_15|spl0_56),
% 0.13/0.38 inference(split_clause,[status(thm)],[f1211,f484,f549,f937])).
% 0.13/0.38 fof(f1227,plain,(
% 0.13/0.38 spl0_98 <=> tl(sk2)=sk6),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f1228,plain,(
% 0.13/0.38 tl(sk2)=sk6|~spl0_98),
% 0.13/0.38 inference(component_clause,[status(thm)],[f1227])).
% 0.13/0.38 fof(f1230,plain,(
% 0.13/0.38 ~ssItem(sk5)|~ssList(sk6)|tl(sk2)=sk6|~spl0_78),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f1060,f298])).
% 0.13/0.38 fof(f1231,plain,(
% 0.13/0.38 ~spl0_7|~spl0_10|spl0_98|~spl0_78),
% 0.13/0.38 inference(split_clause,[status(thm)],[f1230,f473,f484,f1227,f1059])).
% 0.13/0.38 fof(f1248,plain,(
% 0.13/0.38 nil=sk6|~spl0_61|~spl0_98),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f967,f1228])).
% 0.13/0.38 fof(f1249,plain,(
% 0.13/0.38 $false|spl0_20|~spl0_61|~spl0_98),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1248,f605])).
% 0.13/0.38 fof(f1250,plain,(
% 0.13/0.38 spl0_20|~spl0_61|~spl0_98),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f1249])).
% 0.13/0.38 fof(f1255,plain,(
% 0.13/0.38 sk1=app(tl(sk2),cons(sk5,nil))|~spl0_58|~spl0_47),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f948,f844])).
% 0.13/0.38 fof(f1295,plain,(
% 0.13/0.38 sk1=app(sk6,cons(sk5,nil))|~spl0_98|~spl0_58|~spl0_47),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f1228,f1255])).
% 0.13/0.38 fof(f1296,plain,(
% 0.13/0.38 $false|spl0_12|~spl0_98|~spl0_58|~spl0_47),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1295,f494])).
% 0.13/0.38 fof(f1297,plain,(
% 0.13/0.38 spl0_12|~spl0_98|~spl0_58|~spl0_47),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f1296])).
% 0.13/0.38 fof(f1298,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f455,f462,f472,f479,f483,f487,f491,f495,f496,f497,f532,f545,f548,f553,f555,f598,f628,f645,f651,f708,f743,f749,f765,f772,f785,f797,f801,f819,f820,f853,f861,f922,f924,f926,f929,f951,f953,f1063,f1212,f1231,f1250,f1297])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.042511 seconds
% 0.13/0.38 % CPU time: 0.150291 seconds
% 0.13/0.38 % Memory used: 19.009 MB
%------------------------------------------------------------------------------