TSTP Solution File: SWC343-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC343-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:45:25 EDT 2024
% Result : Unsatisfiable 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC343-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:06:43 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.37 % Drodi V3.6.0
% 0.21/0.46 % Refutation found
% 0.21/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.46 fof(f8,axiom,(
% 0.21/0.46 ssList(nil) ),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f62,axiom,(
% 0.21/0.46 (![U]: (( ~ ssItem(U)| leq(U,U) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f73,axiom,(
% 0.21/0.46 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f74,axiom,(
% 0.21/0.46 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f85,axiom,(
% 0.21/0.46 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f103,axiom,(
% 0.21/0.46 (![U,V]: (( ~ lt(U,V)| ~ ssItem(V)| ~ ssItem(U)| leq(U,V) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f106,axiom,(
% 0.21/0.46 (![U,V]: (( ~ lt(U,V)| ~ ssItem(U)| ~ ssItem(V)| gt(V,U) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f108,axiom,(
% 0.21/0.46 (![U,V]: (( ~ leq(U,V)| ~ ssItem(U)| ~ ssItem(V)| geq(V,U) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f114,axiom,(
% 0.21/0.46 (![U,V]: (( ~ lt(U,V)| ~ lt(V,U)| ~ ssItem(U)| ~ ssItem(V) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f118,axiom,(
% 0.21/0.46 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f143,axiom,(
% 0.21/0.46 (![U,V,W]: (( app(U,V) != W| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| rearsegP(W,V) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f144,axiom,(
% 0.21/0.46 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f147,axiom,(
% 0.21/0.46 (![U,V,W]: (( ~ leq(U,V)| ~ lt(V,W)| ~ ssItem(W)| ~ ssItem(V)| ~ ssItem(U)| lt(U,W) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f149,axiom,(
% 0.21/0.46 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f150,axiom,(
% 0.21/0.46 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f151,axiom,(
% 0.21/0.46 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f155,axiom,(
% 0.21/0.46 (![U,V,W]: (( ~ lt(U,V)| ~ lt(V,W)| ~ ssItem(W)| ~ ssItem(V)| ~ ssItem(U)| lt(U,W) ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f171,axiom,(
% 0.21/0.46 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f186,negated_conjecture,(
% 0.21/0.46 ssList(sk1) ),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f190,negated_conjecture,(
% 0.21/0.46 sk2 = sk4 ),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f191,negated_conjecture,(
% 0.21/0.47 sk1 = sk3 ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f192,negated_conjecture,(
% 0.21/0.47 ssList(sk5) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f193,negated_conjecture,(
% 0.21/0.47 app(sk3,sk5) = sk4 ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f194,negated_conjecture,(
% 0.21/0.47 strictorderedP(sk3) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f195,negated_conjecture,(
% 0.21/0.47 (![A,B,C,D]: (( ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) != sk5| ~ ssItem(C)| ~ ssList(D)| app(D,cons(C,nil)) != sk3| ~ lt(C,A) ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f196,negated_conjecture,(
% 0.21/0.47 ( nil = sk4| nil != sk3 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f197,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssItem(sk6(A))| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f198,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssItem(sk6(A))| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f199,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk7(A))| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f200,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(cons(sk6(A),nil),sk7(A)) = A| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f201,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssItem(sk8(A))| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f202,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk9(A))| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f203,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(sk9(A),cons(sk8(A),nil)) = sk1| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f204,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| lt(sk8(A),sk6(A))| ~ strictorderedP(sk1)| nil = sk1 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f205,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk7(A))| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f206,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(cons(sk6(A),nil),sk7(A)) = A| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f207,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssItem(sk8(A))| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f208,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk9(A))| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f209,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(sk9(A),cons(sk8(A),nil)) = sk1| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f210,negated_conjecture,(
% 0.21/0.47 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| lt(sk8(A),sk6(A))| ~ strictorderedP(sk1)| nil != sk2 ) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f218,plain,(
% 0.21/0.47 ssList(nil)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.47 fof(f272,plain,(
% 0.21/0.47 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f62])).
% 0.21/0.47 fof(f284,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f73])).
% 0.21/0.47 fof(f285,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f74])).
% 0.21/0.47 fof(f296,plain,(
% 0.21/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f85])).
% 0.21/0.47 fof(f316,plain,(
% 0.21/0.47 ![X0,X1]: (~lt(X0,X1)|~ssItem(X1)|~ssItem(X0)|leq(X0,X1))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f103])).
% 0.21/0.47 fof(f319,plain,(
% 0.21/0.47 ![X0,X1]: (~lt(X0,X1)|~ssItem(X0)|~ssItem(X1)|gt(X1,X0))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f106])).
% 0.21/0.47 fof(f321,plain,(
% 0.21/0.47 ![X0,X1]: (~leq(X0,X1)|~ssItem(X0)|~ssItem(X1)|geq(X1,X0))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f108])).
% 0.21/0.47 fof(f329,plain,(
% 0.21/0.47 ![V]: ((![U]: ((~lt(U,V)|~lt(V,U))|~ssItem(U)))|~ssItem(V))),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f114])).
% 0.21/0.47 fof(f330,plain,(
% 0.21/0.47 ![X0,X1]: (~lt(X0,X1)|~lt(X1,X0)|~ssItem(X0)|~ssItem(X1))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f329])).
% 0.21/0.47 fof(f337,plain,(
% 0.21/0.47 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f118])).
% 0.21/0.47 fof(f338,plain,(
% 0.21/0.47 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f337])).
% 0.21/0.47 fof(f368,plain,(
% 0.21/0.47 ![V,W]: ((((![U]: (~app(U,V)=W|~ssList(U)))|~ssList(V))|~ssList(W))|rearsegP(W,V))),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f143])).
% 0.21/0.47 fof(f369,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X0)|~ssList(X1)|~ssList(X2)|rearsegP(X2,X1))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f368])).
% 0.21/0.47 fof(f370,plain,(
% 0.21/0.47 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f144])).
% 0.21/0.47 fof(f371,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f370])).
% 0.21/0.47 fof(f375,plain,(
% 0.21/0.47 ![U,W]: (((![V]: (((~leq(U,V)|~lt(V,W))|~ssItem(W))|~ssItem(V)))|~ssItem(U))|lt(U,W))),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f147])).
% 0.21/0.47 fof(f376,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~leq(X0,X1)|~lt(X1,X2)|~ssItem(X2)|~ssItem(X1)|~ssItem(X0)|lt(X0,X2))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f375])).
% 0.21/0.47 fof(f379,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f149])).
% 0.21/0.47 fof(f380,plain,(
% 0.21/0.47 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f150])).
% 0.21/0.47 fof(f381,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f380])).
% 0.21/0.47 fof(f382,plain,(
% 0.21/0.47 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f151])).
% 0.21/0.47 fof(f383,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f382])).
% 0.21/0.47 fof(f390,plain,(
% 0.21/0.47 ![U,W]: (((![V]: (((~lt(U,V)|~lt(V,W))|~ssItem(W))|~ssItem(V)))|~ssItem(U))|lt(U,W))),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f155])).
% 0.21/0.47 fof(f391,plain,(
% 0.21/0.47 ![X0,X1,X2]: (~lt(X0,X1)|~lt(X1,X2)|~ssItem(X2)|~ssItem(X1)|~ssItem(X0)|lt(X0,X2))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f390])).
% 0.21/0.47 fof(f413,plain,(
% 0.21/0.47 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f171])).
% 0.21/0.47 fof(f414,plain,(
% 0.21/0.47 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f413])).
% 0.21/0.47 fof(f441,plain,(
% 0.21/0.47 ssList(sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f186])).
% 0.21/0.47 fof(f445,plain,(
% 0.21/0.47 sk2=sk4),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f190])).
% 0.21/0.47 fof(f446,plain,(
% 0.21/0.47 sk1=sk3),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f191])).
% 0.21/0.47 fof(f447,plain,(
% 0.21/0.47 ssList(sk5)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f192])).
% 0.21/0.47 fof(f448,plain,(
% 0.21/0.47 app(sk3,sk5)=sk4),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f193])).
% 0.21/0.47 fof(f449,plain,(
% 0.21/0.47 strictorderedP(sk3)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f194])).
% 0.21/0.47 fof(f450,plain,(
% 0.21/0.47 ![A,C]: ((![D]: ((((![B]: ((~ssItem(A)|~ssList(B))|~app(cons(A,nil),B)=sk5))|~ssItem(C))|~ssList(D))|~app(D,cons(C,nil))=sk3))|~lt(C,A))),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f195])).
% 0.21/0.47 fof(f451,plain,(
% 0.21/0.47 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk5|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk3|~lt(X2,X0))),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f450])).
% 0.21/0.47 fof(f452,plain,(
% 0.21/0.47 nil=sk4|~nil=sk3),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f196])).
% 0.21/0.47 fof(f453,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssItem(sk6(A))))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f197])).
% 0.21/0.47 fof(f454,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f453])).
% 0.21/0.47 fof(f455,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssItem(sk6(A))))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f198])).
% 0.21/0.47 fof(f456,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f455])).
% 0.21/0.47 fof(f457,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk7(A))))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f199])).
% 0.21/0.47 fof(f458,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f457])).
% 0.21/0.47 fof(f459,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(cons(sk6(A),nil),sk7(A))=A))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f200])).
% 0.21/0.47 fof(f460,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f459])).
% 0.21/0.47 fof(f461,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssItem(sk8(A))))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f201])).
% 0.21/0.47 fof(f462,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk8(X0))|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f461])).
% 0.21/0.47 fof(f463,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk9(A))))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f202])).
% 0.21/0.47 fof(f464,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk9(X0))|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f463])).
% 0.21/0.47 fof(f465,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(sk9(A),cons(sk8(A),nil))=sk1))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f203])).
% 0.21/0.47 fof(f466,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(sk9(X0),cons(sk8(X0),nil))=sk1|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f465])).
% 0.21/0.47 fof(f467,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|lt(sk8(A),sk6(A))))|~strictorderedP(sk1))|nil=sk1),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f204])).
% 0.21/0.47 fof(f468,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|lt(sk8(X0),sk6(X0))|~strictorderedP(sk1)|nil=sk1)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f467])).
% 0.21/0.47 fof(f469,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk7(A))))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f205])).
% 0.21/0.47 fof(f470,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f469])).
% 0.21/0.47 fof(f471,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(cons(sk6(A),nil),sk7(A))=A))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f206])).
% 0.21/0.47 fof(f472,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f471])).
% 0.21/0.47 fof(f473,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssItem(sk8(A))))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f207])).
% 0.21/0.47 fof(f474,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk8(X0))|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f473])).
% 0.21/0.47 fof(f475,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk9(A))))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f208])).
% 0.21/0.47 fof(f476,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk9(X0))|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f475])).
% 0.21/0.47 fof(f477,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(sk9(A),cons(sk8(A),nil))=sk1))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f209])).
% 0.21/0.47 fof(f478,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(sk9(X0),cons(sk8(X0),nil))=sk1|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f477])).
% 0.21/0.47 fof(f479,plain,(
% 0.21/0.47 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|lt(sk8(A),sk6(A))))|~strictorderedP(sk1))|~nil=sk2),
% 0.21/0.47 inference(miniscoping,[status(esa)],[f210])).
% 0.21/0.47 fof(f480,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|lt(sk8(X0),sk6(X0))|~strictorderedP(sk1)|~nil=sk2)),
% 0.21/0.47 inference(cnf_transformation,[status(esa)],[f479])).
% 0.21/0.47 fof(f488,plain,(
% 0.21/0.47 spl0_2 <=> nil=sk4),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f489,plain,(
% 0.21/0.47 nil=sk4|~spl0_2),
% 0.21/0.47 inference(component_clause,[status(thm)],[f488])).
% 0.21/0.47 fof(f491,plain,(
% 0.21/0.47 spl0_3 <=> nil=sk3),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f493,plain,(
% 0.21/0.47 ~nil=sk3|spl0_3),
% 0.21/0.47 inference(component_clause,[status(thm)],[f491])).
% 0.21/0.47 fof(f494,plain,(
% 0.21/0.47 spl0_2|~spl0_3),
% 0.21/0.47 inference(split_clause,[status(thm)],[f452,f488,f491])).
% 0.21/0.47 fof(f495,plain,(
% 0.21/0.47 spl0_4 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f496,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))|~spl0_4)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f495])).
% 0.21/0.47 fof(f498,plain,(
% 0.21/0.47 spl0_5 <=> strictorderedP(sk1)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f500,plain,(
% 0.21/0.47 ~strictorderedP(sk1)|spl0_5),
% 0.21/0.47 inference(component_clause,[status(thm)],[f498])).
% 0.21/0.47 fof(f501,plain,(
% 0.21/0.47 spl0_6 <=> nil=sk1),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f502,plain,(
% 0.21/0.47 nil=sk1|~spl0_6),
% 0.21/0.47 inference(component_clause,[status(thm)],[f501])).
% 0.21/0.47 fof(f504,plain,(
% 0.21/0.47 spl0_4|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f454,f495,f498,f501])).
% 0.21/0.47 fof(f505,plain,(
% 0.21/0.47 spl0_7 <=> nil=sk2),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f507,plain,(
% 0.21/0.47 ~nil=sk2|spl0_7),
% 0.21/0.47 inference(component_clause,[status(thm)],[f505])).
% 0.21/0.47 fof(f508,plain,(
% 0.21/0.47 spl0_4|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f456,f495,f498,f505])).
% 0.21/0.47 fof(f509,plain,(
% 0.21/0.47 spl0_8 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f510,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))|~spl0_8)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f509])).
% 0.21/0.47 fof(f512,plain,(
% 0.21/0.47 spl0_8|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f458,f509,f498,f501])).
% 0.21/0.47 fof(f513,plain,(
% 0.21/0.47 spl0_9 <=> ~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f514,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0|~spl0_9)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f513])).
% 0.21/0.47 fof(f516,plain,(
% 0.21/0.47 spl0_9|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f460,f513,f498,f501])).
% 0.21/0.47 fof(f517,plain,(
% 0.21/0.47 spl0_10 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk8(X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f518,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk8(X0))|~spl0_10)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f517])).
% 0.21/0.47 fof(f520,plain,(
% 0.21/0.47 spl0_10|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f462,f517,f498,f501])).
% 0.21/0.47 fof(f521,plain,(
% 0.21/0.47 spl0_11 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk9(X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f522,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk9(X0))|~spl0_11)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f521])).
% 0.21/0.47 fof(f524,plain,(
% 0.21/0.47 spl0_11|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f464,f521,f498,f501])).
% 0.21/0.47 fof(f525,plain,(
% 0.21/0.47 spl0_12 <=> ~ssList(X0)|~app(sk1,X0)=sk2|app(sk9(X0),cons(sk8(X0),nil))=sk1),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f526,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(sk9(X0),cons(sk8(X0),nil))=sk1|~spl0_12)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f525])).
% 0.21/0.47 fof(f528,plain,(
% 0.21/0.47 spl0_12|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f466,f525,f498,f501])).
% 0.21/0.47 fof(f529,plain,(
% 0.21/0.47 spl0_13 <=> ~ssList(X0)|~app(sk1,X0)=sk2|lt(sk8(X0),sk6(X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f530,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|lt(sk8(X0),sk6(X0))|~spl0_13)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f529])).
% 0.21/0.47 fof(f532,plain,(
% 0.21/0.47 spl0_13|~spl0_5|spl0_6),
% 0.21/0.47 inference(split_clause,[status(thm)],[f468,f529,f498,f501])).
% 0.21/0.47 fof(f533,plain,(
% 0.21/0.47 spl0_8|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f470,f509,f498,f505])).
% 0.21/0.47 fof(f534,plain,(
% 0.21/0.47 spl0_9|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f472,f513,f498,f505])).
% 0.21/0.47 fof(f535,plain,(
% 0.21/0.47 spl0_10|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f474,f517,f498,f505])).
% 0.21/0.47 fof(f536,plain,(
% 0.21/0.47 spl0_11|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f476,f521,f498,f505])).
% 0.21/0.47 fof(f537,plain,(
% 0.21/0.47 spl0_12|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f478,f525,f498,f505])).
% 0.21/0.47 fof(f538,plain,(
% 0.21/0.47 spl0_13|~spl0_5|~spl0_7),
% 0.21/0.47 inference(split_clause,[status(thm)],[f480,f529,f498,f505])).
% 0.21/0.47 fof(f553,plain,(
% 0.21/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X0,X1))|rearsegP(app(X0,X1),X1))),
% 0.21/0.47 inference(destructive_equality_resolution,[status(esa)],[f369])).
% 0.21/0.47 fof(f554,plain,(
% 0.21/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.21/0.47 inference(destructive_equality_resolution,[status(esa)],[f371])).
% 0.21/0.47 fof(f570,plain,(
% 0.21/0.47 strictorderedP(sk1)),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f446,f449])).
% 0.21/0.47 fof(f571,plain,(
% 0.21/0.47 $false|spl0_5),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f500,f570])).
% 0.21/0.47 fof(f572,plain,(
% 0.21/0.47 spl0_5),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f571])).
% 0.21/0.47 fof(f574,plain,(
% 0.21/0.47 nil=sk3|~spl0_6),
% 0.21/0.47 inference(backward_demodulation,[status(thm)],[f502,f446])).
% 0.21/0.47 fof(f576,plain,(
% 0.21/0.47 ~nil=nil|~spl0_6|spl0_3),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f574,f493])).
% 0.21/0.47 fof(f577,plain,(
% 0.21/0.47 $false|~spl0_6|spl0_3),
% 0.21/0.47 inference(trivial_equality_resolution,[status(esa)],[f576])).
% 0.21/0.47 fof(f578,plain,(
% 0.21/0.47 ~spl0_6|spl0_3),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f577])).
% 0.21/0.47 fof(f579,plain,(
% 0.21/0.47 nil=sk2|~spl0_2),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f445,f489])).
% 0.21/0.47 fof(f584,plain,(
% 0.21/0.47 ~nil=nil|~spl0_2|spl0_7),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f579,f507])).
% 0.21/0.47 fof(f585,plain,(
% 0.21/0.47 $false|~spl0_2|spl0_7),
% 0.21/0.47 inference(trivial_equality_resolution,[status(esa)],[f584])).
% 0.21/0.47 fof(f586,plain,(
% 0.21/0.47 ~spl0_2|spl0_7),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f585])).
% 0.21/0.47 fof(f602,plain,(
% 0.21/0.47 spl0_14 <=> ssList(sk5)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f604,plain,(
% 0.21/0.47 ~ssList(sk5)|spl0_14),
% 0.21/0.47 inference(component_clause,[status(thm)],[f602])).
% 0.21/0.47 fof(f605,plain,(
% 0.21/0.47 spl0_15 <=> ssItem(sk6(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f606,plain,(
% 0.21/0.47 ssItem(sk6(sk5))|~spl0_15),
% 0.21/0.47 inference(component_clause,[status(thm)],[f605])).
% 0.21/0.47 fof(f610,plain,(
% 0.21/0.47 spl0_16 <=> nil=nil),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f615,plain,(
% 0.21/0.47 $false|spl0_14),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f604,f447])).
% 0.21/0.47 fof(f616,plain,(
% 0.21/0.47 spl0_14),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f615])).
% 0.21/0.47 fof(f617,plain,(
% 0.21/0.47 spl0_17 <=> ssList(sk7(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f624,plain,(
% 0.21/0.47 spl0_18 <=> ssItem(sk8(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f638,plain,(
% 0.21/0.47 spl0_20 <=> lt(sk8(sk5),sk6(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f639,plain,(
% 0.21/0.47 lt(sk8(sk5),sk6(sk5))|~spl0_20),
% 0.21/0.47 inference(component_clause,[status(thm)],[f638])).
% 0.21/0.47 fof(f697,plain,(
% 0.21/0.47 app(sk3,sk5)=sk2),
% 0.21/0.47 inference(backward_demodulation,[status(thm)],[f445,f448])).
% 0.21/0.47 fof(f698,plain,(
% 0.21/0.47 spl0_23 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f701,plain,(
% 0.21/0.47 spl0_24 <=> ssList(nil)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f703,plain,(
% 0.21/0.47 ~ssList(nil)|spl0_24),
% 0.21/0.47 inference(component_clause,[status(thm)],[f701])).
% 0.21/0.47 fof(f704,plain,(
% 0.21/0.47 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.21/0.47 inference(resolution,[status(thm)],[f381,f285])).
% 0.21/0.47 fof(f705,plain,(
% 0.21/0.47 spl0_23|~spl0_24),
% 0.21/0.47 inference(split_clause,[status(thm)],[f704,f698,f701])).
% 0.21/0.47 fof(f708,plain,(
% 0.21/0.47 spl0_25 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f716,plain,(
% 0.21/0.47 $false|spl0_24),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f703,f218])).
% 0.21/0.47 fof(f717,plain,(
% 0.21/0.47 spl0_24),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f716])).
% 0.21/0.47 fof(f723,plain,(
% 0.21/0.47 app(sk1,sk5)=sk2),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f446,f697])).
% 0.21/0.47 fof(f724,plain,(
% 0.21/0.47 ~ssList(sk5)|ssItem(sk6(sk5))|~spl0_4),
% 0.21/0.47 inference(resolution,[status(thm)],[f723,f496])).
% 0.21/0.47 fof(f725,plain,(
% 0.21/0.47 ~spl0_14|spl0_15|~spl0_4),
% 0.21/0.47 inference(split_clause,[status(thm)],[f724,f602,f605,f495])).
% 0.21/0.47 fof(f726,plain,(
% 0.21/0.47 spl0_27 <=> sk2=sk2),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f728,plain,(
% 0.21/0.47 ~sk2=sk2|spl0_27),
% 0.21/0.47 inference(component_clause,[status(thm)],[f726])).
% 0.21/0.47 fof(f731,plain,(
% 0.21/0.47 spl0_28 <=> ~ssList(X0)|app(sk2,X0)=app(sk1,app(sk5,X0))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f734,plain,(
% 0.21/0.47 spl0_29 <=> ssList(sk1)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f736,plain,(
% 0.21/0.47 ~ssList(sk1)|spl0_29),
% 0.21/0.47 inference(component_clause,[status(thm)],[f734])).
% 0.21/0.47 fof(f737,plain,(
% 0.21/0.47 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk1)|app(sk2,X0)=app(sk1,app(sk5,X0)))),
% 0.21/0.47 inference(paramodulation,[status(thm)],[f723,f379])).
% 0.21/0.47 fof(f738,plain,(
% 0.21/0.47 spl0_28|~spl0_14|~spl0_29),
% 0.21/0.47 inference(split_clause,[status(thm)],[f737,f731,f602,f734])).
% 0.21/0.47 fof(f739,plain,(
% 0.21/0.47 spl0_30 <=> ~app(X0,sk5)=sk2|~ssList(X0)|X0=sk1),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f740,plain,(
% 0.21/0.47 ![X0]: (~app(X0,sk5)=sk2|~ssList(X0)|X0=sk1|~spl0_30)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f739])).
% 0.21/0.47 fof(f742,plain,(
% 0.21/0.47 ![X0]: (~app(X0,sk5)=sk2|~ssList(X0)|~ssList(sk5)|~ssList(sk1)|X0=sk1)),
% 0.21/0.47 inference(paramodulation,[status(thm)],[f723,f383])).
% 0.21/0.47 fof(f743,plain,(
% 0.21/0.47 spl0_30|~spl0_14|~spl0_29),
% 0.21/0.47 inference(split_clause,[status(thm)],[f742,f739,f602,f734])).
% 0.21/0.47 fof(f746,plain,(
% 0.21/0.47 spl0_31 <=> ~app(sk1,X0)=sk2|~ssList(X0)|X0=sk5),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f747,plain,(
% 0.21/0.47 ![X0]: (~app(sk1,X0)=sk2|~ssList(X0)|X0=sk5|~spl0_31)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f746])).
% 0.21/0.47 fof(f749,plain,(
% 0.21/0.47 ![X0]: (~app(sk1,X0)=sk2|~ssList(X0)|~ssList(sk1)|~ssList(sk5)|X0=sk5)),
% 0.21/0.47 inference(paramodulation,[status(thm)],[f723,f381])).
% 0.21/0.47 fof(f750,plain,(
% 0.21/0.47 spl0_31|~spl0_29|~spl0_14),
% 0.21/0.47 inference(split_clause,[status(thm)],[f749,f746,f734,f602])).
% 0.21/0.47 fof(f753,plain,(
% 0.21/0.47 spl0_32 <=> ssList(sk2)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f756,plain,(
% 0.21/0.47 ~ssList(sk5)|~ssList(sk1)|ssList(sk2)),
% 0.21/0.47 inference(paramodulation,[status(thm)],[f723,f296])).
% 0.21/0.47 fof(f757,plain,(
% 0.21/0.47 ~spl0_14|~spl0_29|spl0_32),
% 0.21/0.47 inference(split_clause,[status(thm)],[f756,f602,f734,f753])).
% 0.21/0.47 fof(f758,plain,(
% 0.21/0.47 $false|spl0_29),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f736,f441])).
% 0.21/0.47 fof(f759,plain,(
% 0.21/0.47 spl0_29),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f758])).
% 0.21/0.47 fof(f760,plain,(
% 0.21/0.47 spl0_33 <=> ~ssList(app(X0,nil))|~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f763,plain,(
% 0.21/0.47 ![X0]: (~ssList(app(X0,nil))|~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0)),
% 0.21/0.47 inference(resolution,[status(thm)],[f284,f383])).
% 0.21/0.47 fof(f764,plain,(
% 0.21/0.47 spl0_33|~spl0_24),
% 0.21/0.47 inference(split_clause,[status(thm)],[f763,f760,f701])).
% 0.21/0.47 fof(f768,plain,(
% 0.21/0.47 spl0_34 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f769,plain,(
% 0.21/0.47 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_34)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f768])).
% 0.21/0.47 fof(f776,plain,(
% 0.21/0.47 spl0_36 <=> ~lt(X0,sk8(sk5))|~ssItem(X0)|lt(X0,sk6(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f779,plain,(
% 0.21/0.47 ![X0]: (~lt(X0,sk8(sk5))|~ssItem(sk6(sk5))|~ssItem(sk8(sk5))|~ssItem(X0)|lt(X0,sk6(sk5))|~spl0_20)),
% 0.21/0.47 inference(resolution,[status(thm)],[f639,f391])).
% 0.21/0.47 fof(f780,plain,(
% 0.21/0.47 spl0_36|~spl0_15|~spl0_18|~spl0_20),
% 0.21/0.47 inference(split_clause,[status(thm)],[f779,f776,f605,f624,f638])).
% 0.21/0.47 fof(f781,plain,(
% 0.21/0.47 spl0_37 <=> lt(sk6(sk5),sk8(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f784,plain,(
% 0.21/0.47 ~lt(sk6(sk5),sk8(sk5))|~ssItem(sk6(sk5))|~ssItem(sk8(sk5))|~spl0_20),
% 0.21/0.47 inference(resolution,[status(thm)],[f639,f330])).
% 0.21/0.47 fof(f785,plain,(
% 0.21/0.47 ~spl0_37|~spl0_15|~spl0_18|~spl0_20),
% 0.21/0.47 inference(split_clause,[status(thm)],[f784,f781,f605,f624,f638])).
% 0.21/0.47 fof(f786,plain,(
% 0.21/0.47 spl0_38 <=> sk1=sk1),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f789,plain,(
% 0.21/0.47 ~ssList(sk1)|sk1=sk1|~spl0_30),
% 0.21/0.47 inference(resolution,[status(thm)],[f740,f723])).
% 0.21/0.47 fof(f790,plain,(
% 0.21/0.47 ~spl0_29|spl0_38|~spl0_30),
% 0.21/0.47 inference(split_clause,[status(thm)],[f789,f734,f786,f739])).
% 0.21/0.47 fof(f793,plain,(
% 0.21/0.47 $false|spl0_27),
% 0.21/0.47 inference(trivial_equality_resolution,[status(esa)],[f728])).
% 0.21/0.47 fof(f794,plain,(
% 0.21/0.47 spl0_27),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f793])).
% 0.21/0.47 fof(f795,plain,(
% 0.21/0.47 spl0_39 <=> sk5=sk5),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f798,plain,(
% 0.21/0.47 ~ssList(sk5)|sk5=sk5|~spl0_31),
% 0.21/0.47 inference(resolution,[status(thm)],[f747,f723])).
% 0.21/0.47 fof(f799,plain,(
% 0.21/0.47 ~spl0_14|spl0_39|~spl0_31),
% 0.21/0.47 inference(split_clause,[status(thm)],[f798,f602,f795,f746])).
% 0.21/0.47 fof(f802,plain,(
% 0.21/0.47 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.21/0.47 inference(resolution,[status(thm)],[f338,f285])).
% 0.21/0.47 fof(f803,plain,(
% 0.21/0.47 ~spl0_24|spl0_16),
% 0.21/0.47 inference(split_clause,[status(thm)],[f802,f701,f610])).
% 0.21/0.47 fof(f829,plain,(
% 0.21/0.47 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X1=X1)),
% 0.21/0.47 inference(equality_resolution,[status(esa)],[f414])).
% 0.21/0.47 fof(f830,plain,(
% 0.21/0.47 spl0_34|spl0_25),
% 0.21/0.47 inference(split_clause,[status(thm)],[f829,f768,f708])).
% 0.21/0.47 fof(f831,plain,(
% 0.21/0.47 ![X0]: (~ssItem(X0)|~spl0_34)),
% 0.21/0.47 inference(duplicate_literals_removal,[status(esa)],[f769])).
% 0.21/0.47 fof(f834,plain,(
% 0.21/0.47 ~ssList(sk5)|ssList(sk7(sk5))|~spl0_8),
% 0.21/0.47 inference(resolution,[status(thm)],[f510,f723])).
% 0.21/0.47 fof(f835,plain,(
% 0.21/0.47 ~spl0_14|spl0_17|~spl0_8),
% 0.21/0.47 inference(split_clause,[status(thm)],[f834,f602,f617,f509])).
% 0.21/0.47 fof(f857,plain,(
% 0.21/0.47 ~ssList(sk5)|ssItem(sk8(sk5))|~spl0_10),
% 0.21/0.47 inference(resolution,[status(thm)],[f518,f723])).
% 0.21/0.47 fof(f858,plain,(
% 0.21/0.47 ~spl0_14|spl0_18|~spl0_10),
% 0.21/0.47 inference(split_clause,[status(thm)],[f857,f602,f624,f517])).
% 0.21/0.47 fof(f863,plain,(
% 0.21/0.47 $false|~spl0_34|~spl0_15),
% 0.21/0.47 inference(backward_subsumption_resolution,[status(thm)],[f606,f831])).
% 0.21/0.47 fof(f864,plain,(
% 0.21/0.47 ~spl0_34|~spl0_15),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f863])).
% 0.21/0.47 fof(f881,plain,(
% 0.21/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|rearsegP(app(X0,X1),X1))),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f553,f296])).
% 0.21/0.47 fof(f882,plain,(
% 0.21/0.47 spl0_49 <=> rearsegP(sk2,sk5)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f885,plain,(
% 0.21/0.47 ~ssList(sk1)|~ssList(sk5)|rearsegP(sk2,sk5)),
% 0.21/0.47 inference(paramodulation,[status(thm)],[f723,f881])).
% 0.21/0.47 fof(f886,plain,(
% 0.21/0.47 ~spl0_29|~spl0_14|spl0_49),
% 0.21/0.47 inference(split_clause,[status(thm)],[f885,f734,f602,f882])).
% 0.21/0.47 fof(f887,plain,(
% 0.21/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f554,f296])).
% 0.21/0.47 fof(f888,plain,(
% 0.21/0.47 spl0_50 <=> frontsegP(sk2,sk1)),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f891,plain,(
% 0.21/0.47 ~ssList(sk5)|~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.21/0.47 inference(paramodulation,[status(thm)],[f723,f887])).
% 0.21/0.47 fof(f892,plain,(
% 0.21/0.47 ~spl0_14|~spl0_29|spl0_50),
% 0.21/0.47 inference(split_clause,[status(thm)],[f891,f602,f734,f888])).
% 0.21/0.47 fof(f919,plain,(
% 0.21/0.47 ~ssList(sk5)|lt(sk8(sk5),sk6(sk5))|~spl0_13),
% 0.21/0.47 inference(resolution,[status(thm)],[f530,f723])).
% 0.21/0.47 fof(f920,plain,(
% 0.21/0.47 ~spl0_14|spl0_20|~spl0_13),
% 0.21/0.47 inference(split_clause,[status(thm)],[f919,f602,f638,f529])).
% 0.21/0.47 fof(f925,plain,(
% 0.21/0.47 spl0_51 <=> ~leq(X0,sk8(sk5))|~ssItem(X0)|lt(X0,sk6(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f926,plain,(
% 0.21/0.47 ![X0]: (~leq(X0,sk8(sk5))|~ssItem(X0)|lt(X0,sk6(sk5))|~spl0_51)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f925])).
% 0.21/0.47 fof(f928,plain,(
% 0.21/0.47 ![X0]: (~leq(X0,sk8(sk5))|~ssItem(sk6(sk5))|~ssItem(sk8(sk5))|~ssItem(X0)|lt(X0,sk6(sk5))|~spl0_20)),
% 0.21/0.47 inference(resolution,[status(thm)],[f639,f376])).
% 0.21/0.47 fof(f929,plain,(
% 0.21/0.47 spl0_51|~spl0_15|~spl0_18|~spl0_20),
% 0.21/0.47 inference(split_clause,[status(thm)],[f928,f925,f605,f624,f638])).
% 0.21/0.47 fof(f932,plain,(
% 0.21/0.47 spl0_52 <=> gt(sk6(sk5),sk8(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f935,plain,(
% 0.21/0.47 ~ssItem(sk8(sk5))|~ssItem(sk6(sk5))|gt(sk6(sk5),sk8(sk5))|~spl0_20),
% 0.21/0.47 inference(resolution,[status(thm)],[f639,f319])).
% 0.21/0.47 fof(f936,plain,(
% 0.21/0.47 ~spl0_18|~spl0_15|spl0_52|~spl0_20),
% 0.21/0.47 inference(split_clause,[status(thm)],[f935,f624,f605,f932,f638])).
% 0.21/0.47 fof(f937,plain,(
% 0.21/0.47 spl0_53 <=> leq(sk8(sk5),sk6(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f938,plain,(
% 0.21/0.47 leq(sk8(sk5),sk6(sk5))|~spl0_53),
% 0.21/0.47 inference(component_clause,[status(thm)],[f937])).
% 0.21/0.47 fof(f940,plain,(
% 0.21/0.47 ~ssItem(sk6(sk5))|~ssItem(sk8(sk5))|leq(sk8(sk5),sk6(sk5))|~spl0_20),
% 0.21/0.47 inference(resolution,[status(thm)],[f639,f316])).
% 0.21/0.47 fof(f941,plain,(
% 0.21/0.47 ~spl0_15|~spl0_18|spl0_53|~spl0_20),
% 0.21/0.47 inference(split_clause,[status(thm)],[f940,f605,f624,f937,f638])).
% 0.21/0.47 fof(f949,plain,(
% 0.21/0.47 spl0_55 <=> geq(sk6(sk5),sk8(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f952,plain,(
% 0.21/0.47 ~ssItem(sk8(sk5))|~ssItem(sk6(sk5))|geq(sk6(sk5),sk8(sk5))|~spl0_53),
% 0.21/0.47 inference(resolution,[status(thm)],[f938,f321])).
% 0.21/0.47 fof(f953,plain,(
% 0.21/0.47 ~spl0_18|~spl0_15|spl0_55|~spl0_53),
% 0.21/0.47 inference(split_clause,[status(thm)],[f952,f624,f605,f949,f937])).
% 0.21/0.47 fof(f956,plain,(
% 0.21/0.47 ~ssItem(sk8(sk5))|lt(sk8(sk5),sk6(sk5))|~ssItem(sk8(sk5))|~spl0_51),
% 0.21/0.47 inference(resolution,[status(thm)],[f926,f272])).
% 0.21/0.47 fof(f957,plain,(
% 0.21/0.47 ~spl0_18|spl0_20|~spl0_51),
% 0.21/0.47 inference(split_clause,[status(thm)],[f956,f624,f638,f925])).
% 0.21/0.47 fof(f958,plain,(
% 0.21/0.47 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk5|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk1|~lt(X2,X0))),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f446,f451])).
% 0.21/0.47 fof(f959,plain,(
% 0.21/0.47 spl0_56 <=> ~ssItem(X0)|~ssList(X1)|~app(X1,cons(X0,nil))=sk1|~lt(X0,sk6(sk5))),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f960,plain,(
% 0.21/0.47 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(X1,cons(X0,nil))=sk1|~lt(X0,sk6(sk5))|~spl0_56)),
% 0.21/0.47 inference(component_clause,[status(thm)],[f959])).
% 0.21/0.47 fof(f962,plain,(
% 0.21/0.47 spl0_57 <=> app(sk1,sk5)=sk2),
% 0.21/0.47 introduced(split_symbol_definition)).
% 0.21/0.47 fof(f964,plain,(
% 0.21/0.47 ~app(sk1,sk5)=sk2|spl0_57),
% 0.21/0.47 inference(component_clause,[status(thm)],[f962])).
% 0.21/0.47 fof(f965,plain,(
% 0.21/0.47 ![X0,X1]: (~ssItem(sk6(sk5))|~ssList(sk7(sk5))|~ssItem(X0)|~ssList(X1)|~app(X1,cons(X0,nil))=sk1|~lt(X0,sk6(sk5))|~ssList(sk5)|~app(sk1,sk5)=sk2|~spl0_9)),
% 0.21/0.47 inference(resolution,[status(thm)],[f958,f514])).
% 0.21/0.47 fof(f966,plain,(
% 0.21/0.47 ~spl0_15|~spl0_17|spl0_56|~spl0_14|~spl0_57|~spl0_9),
% 0.21/0.47 inference(split_clause,[status(thm)],[f965,f605,f617,f959,f602,f962,f513])).
% 0.21/0.47 fof(f967,plain,(
% 0.21/0.47 ~sk2=sk2|spl0_57),
% 0.21/0.47 inference(forward_demodulation,[status(thm)],[f723,f964])).
% 0.21/0.47 fof(f968,plain,(
% 0.21/0.47 $false|spl0_57),
% 0.21/0.47 inference(trivial_equality_resolution,[status(esa)],[f967])).
% 0.21/0.47 fof(f969,plain,(
% 0.21/0.47 spl0_57),
% 0.21/0.47 inference(contradiction_clause,[status(thm)],[f968])).
% 0.21/0.47 fof(f970,plain,(
% 0.21/0.47 ![X0]: (~ssItem(sk8(X0))|~ssList(sk9(X0))|~lt(sk8(X0),sk6(sk5))|~ssList(X0)|~app(sk1,X0)=sk2|~spl0_56|~spl0_12)),
% 0.21/0.47 inference(resolution,[status(thm)],[f960,f526])).
% 0.21/0.47 fof(f971,plain,(
% 0.21/0.47 ![X0]: (~ssList(sk9(X0))|~lt(sk8(X0),sk6(sk5))|~ssList(X0)|~app(sk1,X0)=sk2|~spl0_10|~spl0_56|~spl0_12)),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f970,f518])).
% 0.21/0.47 fof(f972,plain,(
% 0.21/0.47 ![X0]: (~lt(sk8(X0),sk6(sk5))|~ssList(X0)|~app(sk1,X0)=sk2|~spl0_11|~spl0_10|~spl0_56|~spl0_12)),
% 0.21/0.47 inference(forward_subsumption_resolution,[status(thm)],[f971,f522])).
% 0.21/0.47 fof(f973,plain,(
% 0.21/0.47 ~lt(sk8(sk5),sk6(sk5))|~ssList(sk5)|~spl0_11|~spl0_10|~spl0_56|~spl0_12),
% 0.21/0.47 inference(resolution,[status(thm)],[f972,f723])).
% 0.21/0.47 fof(f974,plain,(
% 0.21/0.47 ~spl0_20|~spl0_14|~spl0_11|~spl0_10|~spl0_56|~spl0_12),
% 0.21/0.47 inference(split_clause,[status(thm)],[f973,f638,f602,f521,f517,f959,f525])).
% 0.21/0.47 fof(f977,plain,(
% 0.21/0.47 $false),
% 0.21/0.47 inference(sat_refutation,[status(thm)],[f494,f504,f508,f512,f516,f520,f524,f528,f532,f533,f534,f535,f536,f537,f538,f572,f578,f586,f616,f705,f717,f725,f738,f743,f750,f757,f759,f764,f780,f785,f790,f794,f799,f803,f830,f835,f858,f864,f886,f892,f920,f929,f936,f941,f953,f957,f966,f969,f974])).
% 0.21/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.48 % Elapsed time: 0.120871 seconds
% 0.21/0.48 % CPU time: 0.806173 seconds
% 0.21/0.48 % Total memory used: 73.877 MB
% 0.21/0.48 % Net memory used: 73.521 MB
%------------------------------------------------------------------------------