TSTP Solution File: SWC177-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC177-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:44:49 EDT 2024
% Result : Unsatisfiable 7.39s 1.36s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC177-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:06:19 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 7.39/1.36 % Refutation found
% 7.39/1.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.39/1.36 % SZS output start CNFRefutation for theBenchmark
% 7.39/1.36 fof(f8,axiom,(
% 7.39/1.36 ssList(nil) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f12,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf83(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f13,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf82(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f15,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf80(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f18,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf77(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f21,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf74(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f22,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf73(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f25,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf70(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f27,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf68(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f30,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf65(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f32,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf63(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f35,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf60(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f37,axiom,(
% 7.39/1.36 (![U]: (ssList(skaf58(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f40,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf55(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f47,axiom,(
% 7.39/1.36 (![U]: (ssItem(skaf44(U)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f51,axiom,(
% 7.39/1.36 (![U,V]: (ssList(skaf45(U,V)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f53,axiom,(
% 7.39/1.36 (![U,V]: (ssList(skaf42(U,V)) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f61,axiom,(
% 7.39/1.36 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f71,axiom,(
% 7.39/1.36 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f75,axiom,(
% 7.39/1.36 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f85,axiom,(
% 7.39/1.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f86,axiom,(
% 7.39/1.36 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f96,axiom,(
% 7.39/1.36 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| tl(cons(U,V)) = V ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f98,axiom,(
% 7.39/1.36 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f102,axiom,(
% 7.39/1.36 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f118,axiom,(
% 7.39/1.36 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f119,axiom,(
% 7.39/1.36 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f133,axiom,(
% 7.39/1.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| nil = V| tl(app(V,U)) = app(tl(V),U) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f140,axiom,(
% 7.39/1.36 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f149,axiom,(
% 7.39/1.36 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f161,axiom,(
% 7.39/1.36 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f175,axiom,(
% 7.39/1.36 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f186,negated_conjecture,(
% 7.39/1.36 ssList(sk1) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f191,negated_conjecture,(
% 7.39/1.36 sk1 = sk3 ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f192,negated_conjecture,(
% 7.39/1.36 ssItem(sk5) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f193,negated_conjecture,(
% 7.39/1.36 ssItem(sk6) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f194,negated_conjecture,(
% 7.39/1.36 ssList(sk7) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f195,negated_conjecture,(
% 7.39/1.36 ssList(sk8) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f196,negated_conjecture,(
% 7.39/1.36 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f197,negated_conjecture,(
% 7.39/1.36 ~ neq(sk5,sk6) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f199,negated_conjecture,(
% 7.39/1.36 ( ssItem(sk9)| nil = sk3 ) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f202,negated_conjecture,(
% 7.39/1.36 ( cons(sk9,nil) = sk3| nil = sk3 ) ),
% 7.39/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.39/1.36 fof(f211,plain,(
% 7.39/1.36 ssList(nil)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f8])).
% 7.39/1.36 fof(f215,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf83(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f12])).
% 7.39/1.36 fof(f216,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf82(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f13])).
% 7.39/1.36 fof(f218,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf80(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f15])).
% 7.39/1.36 fof(f221,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf77(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f18])).
% 7.39/1.36 fof(f224,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf74(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f21])).
% 7.39/1.36 fof(f225,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf73(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f22])).
% 7.39/1.36 fof(f228,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf70(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f25])).
% 7.39/1.36 fof(f230,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf68(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f27])).
% 7.39/1.36 fof(f233,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf65(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f30])).
% 7.39/1.36 fof(f235,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf63(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f32])).
% 7.39/1.36 fof(f238,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf60(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f35])).
% 7.39/1.36 fof(f240,plain,(
% 7.39/1.36 ![X0]: (ssList(skaf58(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f37])).
% 7.39/1.36 fof(f243,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf55(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f40])).
% 7.39/1.36 fof(f250,plain,(
% 7.39/1.36 ![X0]: (ssItem(skaf44(X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f47])).
% 7.39/1.36 fof(f254,plain,(
% 7.39/1.36 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f51])).
% 7.39/1.36 fof(f256,plain,(
% 7.39/1.36 ![X0,X1]: (ssList(skaf42(X0,X1)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f53])).
% 7.39/1.36 fof(f264,plain,(
% 7.39/1.36 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f61])).
% 7.39/1.36 fof(f274,plain,(
% 7.39/1.36 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f71])).
% 7.39/1.36 fof(f279,plain,(
% 7.39/1.36 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f75])).
% 7.39/1.36 fof(f289,plain,(
% 7.39/1.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f85])).
% 7.39/1.36 fof(f290,plain,(
% 7.39/1.36 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f86])).
% 7.39/1.36 fof(f300,plain,(
% 7.39/1.36 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|tl(cons(X0,X1))=X1)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f96])).
% 7.39/1.36 fof(f302,plain,(
% 7.39/1.36 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 7.39/1.36 inference(miniscoping,[status(esa)],[f98])).
% 7.39/1.36 fof(f303,plain,(
% 7.39/1.36 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f302])).
% 7.39/1.36 fof(f308,plain,(
% 7.39/1.36 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f102])).
% 7.39/1.36 fof(f330,plain,(
% 7.39/1.36 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 7.39/1.36 inference(miniscoping,[status(esa)],[f118])).
% 7.39/1.36 fof(f331,plain,(
% 7.39/1.36 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f330])).
% 7.39/1.36 fof(f332,plain,(
% 7.39/1.36 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 7.39/1.36 inference(miniscoping,[status(esa)],[f119])).
% 7.39/1.36 fof(f333,plain,(
% 7.39/1.36 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f332])).
% 7.39/1.36 fof(f349,plain,(
% 7.39/1.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X1|tl(app(X1,X0))=app(tl(X1),X0))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f133])).
% 7.39/1.36 fof(f358,plain,(
% 7.39/1.36 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f140])).
% 7.39/1.36 fof(f372,plain,(
% 7.39/1.36 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f149])).
% 7.39/1.36 fof(f394,plain,(
% 7.39/1.36 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 7.39/1.36 inference(miniscoping,[status(esa)],[f161])).
% 7.39/1.36 fof(f395,plain,(
% 7.39/1.36 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f394])).
% 7.39/1.36 fof(f413,plain,(
% 7.39/1.36 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 7.39/1.36 inference(miniscoping,[status(esa)],[f175])).
% 7.39/1.36 fof(f414,plain,(
% 7.39/1.36 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f413])).
% 7.39/1.36 fof(f434,plain,(
% 7.39/1.36 ssList(sk1)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f186])).
% 7.39/1.36 fof(f439,plain,(
% 7.39/1.36 sk1=sk3),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f191])).
% 7.39/1.36 fof(f440,plain,(
% 7.39/1.36 ssItem(sk5)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f192])).
% 7.39/1.36 fof(f441,plain,(
% 7.39/1.36 ssItem(sk6)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f193])).
% 7.39/1.36 fof(f442,plain,(
% 7.39/1.36 ssList(sk7)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f194])).
% 7.39/1.36 fof(f443,plain,(
% 7.39/1.36 ssList(sk8)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f195])).
% 7.39/1.36 fof(f444,plain,(
% 7.39/1.36 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk1),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f196])).
% 7.39/1.36 fof(f445,plain,(
% 7.39/1.36 ~neq(sk5,sk6)),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f197])).
% 7.39/1.36 fof(f447,plain,(
% 7.39/1.36 ssItem(sk9)|nil=sk3),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f199])).
% 7.39/1.36 fof(f450,plain,(
% 7.39/1.36 cons(sk9,nil)=sk3|nil=sk3),
% 7.39/1.36 inference(cnf_transformation,[status(esa)],[f202])).
% 7.39/1.36 fof(f459,plain,(
% 7.39/1.36 spl0_2 <=> ssItem(sk9)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f466,plain,(
% 7.39/1.36 spl0_4 <=> nil=sk3),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f467,plain,(
% 7.39/1.36 nil=sk3|~spl0_4),
% 7.39/1.36 inference(component_clause,[status(thm)],[f466])).
% 7.39/1.36 fof(f469,plain,(
% 7.39/1.36 spl0_2|spl0_4),
% 7.39/1.36 inference(split_clause,[status(thm)],[f447,f459,f466])).
% 7.39/1.36 fof(f470,plain,(
% 7.39/1.36 spl0_5 <=> cons(sk9,nil)=sk3),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f471,plain,(
% 7.39/1.36 cons(sk9,nil)=sk3|~spl0_5),
% 7.39/1.36 inference(component_clause,[status(thm)],[f470])).
% 7.39/1.36 fof(f478,plain,(
% 7.39/1.36 spl0_5|spl0_4),
% 7.39/1.36 inference(split_clause,[status(thm)],[f450,f470,f466])).
% 7.39/1.36 fof(f499,plain,(
% 7.39/1.36 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 7.39/1.36 inference(destructive_equality_resolution,[status(esa)],[f414])).
% 7.39/1.36 fof(f511,plain,(
% 7.39/1.36 nil=sk1|~spl0_4),
% 7.39/1.36 inference(forward_demodulation,[status(thm)],[f439,f467])).
% 7.39/1.36 fof(f518,plain,(
% 7.39/1.36 spl0_7 <=> ssList(sk8)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f520,plain,(
% 7.39/1.36 ~ssList(sk8)|spl0_7),
% 7.39/1.36 inference(component_clause,[status(thm)],[f518])).
% 7.39/1.36 fof(f521,plain,(
% 7.39/1.36 spl0_8 <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f522,plain,(
% 7.39/1.36 ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|~spl0_8),
% 7.39/1.36 inference(component_clause,[status(thm)],[f521])).
% 7.39/1.36 fof(f523,plain,(
% 7.39/1.36 ~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|spl0_8),
% 7.39/1.36 inference(component_clause,[status(thm)],[f521])).
% 7.39/1.36 fof(f524,plain,(
% 7.39/1.36 spl0_9 <=> ssList(nil)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f526,plain,(
% 7.39/1.36 ~ssList(nil)|spl0_9),
% 7.39/1.36 inference(component_clause,[status(thm)],[f524])).
% 7.39/1.36 fof(f530,plain,(
% 7.39/1.36 cons(sk9,nil)=sk1|~spl0_5),
% 7.39/1.36 inference(forward_demodulation,[status(thm)],[f439,f471])).
% 7.39/1.36 fof(f531,plain,(
% 7.39/1.36 spl0_10 <=> ssList(cons(sk6,nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f533,plain,(
% 7.39/1.36 ~ssList(cons(sk6,nil))|spl0_10),
% 7.39/1.36 inference(component_clause,[status(thm)],[f531])).
% 7.39/1.36 fof(f534,plain,(
% 7.39/1.36 spl0_11 <=> ssList(app(sk7,cons(sk5,nil)))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f535,plain,(
% 7.39/1.36 ssList(app(sk7,cons(sk5,nil)))|~spl0_11),
% 7.39/1.36 inference(component_clause,[status(thm)],[f534])).
% 7.39/1.36 fof(f536,plain,(
% 7.39/1.36 ~ssList(app(sk7,cons(sk5,nil)))|spl0_11),
% 7.39/1.36 inference(component_clause,[status(thm)],[f534])).
% 7.39/1.36 fof(f537,plain,(
% 7.39/1.36 ~ssList(cons(sk6,nil))|~ssList(app(sk7,cons(sk5,nil)))|spl0_8),
% 7.39/1.36 inference(resolution,[status(thm)],[f523,f289])).
% 7.39/1.36 fof(f538,plain,(
% 7.39/1.36 ~spl0_10|~spl0_11|spl0_8),
% 7.39/1.36 inference(split_clause,[status(thm)],[f537,f531,f534,f521])).
% 7.39/1.36 fof(f539,plain,(
% 7.39/1.36 $false|spl0_7),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f520,f443])).
% 7.39/1.36 fof(f540,plain,(
% 7.39/1.36 spl0_7),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f539])).
% 7.39/1.36 fof(f545,plain,(
% 7.39/1.36 spl0_12 <=> ssList(sk1)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f548,plain,(
% 7.39/1.36 ~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|ssList(sk1)),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f444,f289])).
% 7.39/1.36 fof(f549,plain,(
% 7.39/1.36 ~spl0_7|~spl0_8|spl0_12),
% 7.39/1.36 inference(split_clause,[status(thm)],[f548,f518,f521,f545])).
% 7.39/1.36 fof(f561,plain,(
% 7.39/1.36 spl0_13 <=> ssItem(sk6)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f563,plain,(
% 7.39/1.36 ~ssItem(sk6)|spl0_13),
% 7.39/1.36 inference(component_clause,[status(thm)],[f561])).
% 7.39/1.36 fof(f564,plain,(
% 7.39/1.36 ~ssItem(sk6)|~ssList(nil)|spl0_10),
% 7.39/1.36 inference(resolution,[status(thm)],[f290,f533])).
% 7.39/1.36 fof(f565,plain,(
% 7.39/1.36 ~spl0_13|~spl0_9|spl0_10),
% 7.39/1.36 inference(split_clause,[status(thm)],[f564,f561,f524,f531])).
% 7.39/1.36 fof(f566,plain,(
% 7.39/1.36 $false|spl0_13),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f563,f441])).
% 7.39/1.36 fof(f567,plain,(
% 7.39/1.36 spl0_13),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f566])).
% 7.39/1.36 fof(f575,plain,(
% 7.39/1.36 spl0_14 <=> ssList(cons(sk5,nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f577,plain,(
% 7.39/1.36 ~ssList(cons(sk5,nil))|spl0_14),
% 7.39/1.36 inference(component_clause,[status(thm)],[f575])).
% 7.39/1.36 fof(f578,plain,(
% 7.39/1.36 spl0_15 <=> ssList(sk7)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f580,plain,(
% 7.39/1.36 ~ssList(sk7)|spl0_15),
% 7.39/1.36 inference(component_clause,[status(thm)],[f578])).
% 7.39/1.36 fof(f581,plain,(
% 7.39/1.36 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_11),
% 7.39/1.36 inference(resolution,[status(thm)],[f536,f289])).
% 7.39/1.36 fof(f582,plain,(
% 7.39/1.36 ~spl0_14|~spl0_15|spl0_11),
% 7.39/1.36 inference(split_clause,[status(thm)],[f581,f575,f578,f534])).
% 7.39/1.36 fof(f583,plain,(
% 7.39/1.36 $false|spl0_15),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f580,f442])).
% 7.39/1.36 fof(f584,plain,(
% 7.39/1.36 spl0_15),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f583])).
% 7.39/1.36 fof(f585,plain,(
% 7.39/1.36 $false|spl0_9),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f211,f526])).
% 7.39/1.36 fof(f586,plain,(
% 7.39/1.36 spl0_9),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f585])).
% 7.39/1.36 fof(f597,plain,(
% 7.39/1.36 spl0_16 <=> ssItem(sk5)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f599,plain,(
% 7.39/1.36 ~ssItem(sk5)|spl0_16),
% 7.39/1.36 inference(component_clause,[status(thm)],[f597])).
% 7.39/1.36 fof(f600,plain,(
% 7.39/1.36 ~ssItem(sk5)|~ssList(nil)|spl0_14),
% 7.39/1.36 inference(resolution,[status(thm)],[f577,f290])).
% 7.39/1.36 fof(f601,plain,(
% 7.39/1.36 ~spl0_16|~spl0_9|spl0_14),
% 7.39/1.36 inference(split_clause,[status(thm)],[f600,f597,f524,f575])).
% 7.39/1.36 fof(f602,plain,(
% 7.39/1.36 $false|spl0_16),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f599,f440])).
% 7.39/1.36 fof(f603,plain,(
% 7.39/1.36 spl0_16),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f602])).
% 7.39/1.36 fof(f610,plain,(
% 7.39/1.36 spl0_19 <=> sk5=sk6),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f611,plain,(
% 7.39/1.36 sk5=sk6|~spl0_19),
% 7.39/1.36 inference(component_clause,[status(thm)],[f610])).
% 7.39/1.36 fof(f615,plain,(
% 7.39/1.36 ~ssItem(sk6)|~ssItem(sk5)|sk5=sk6),
% 7.39/1.36 inference(resolution,[status(thm)],[f308,f445])).
% 7.39/1.36 fof(f616,plain,(
% 7.39/1.36 ~spl0_13|~spl0_16|spl0_19),
% 7.39/1.36 inference(split_clause,[status(thm)],[f615,f561,f597,f610])).
% 7.39/1.36 fof(f664,plain,(
% 7.39/1.36 ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|~spl0_19|~spl0_8),
% 7.39/1.36 inference(forward_demodulation,[status(thm)],[f611,f522])).
% 7.39/1.36 fof(f668,plain,(
% 7.39/1.36 spl0_27 <=> ~ssList(X1)|~ssList(X1)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f669,plain,(
% 7.39/1.36 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_27)),
% 7.39/1.36 inference(component_clause,[status(thm)],[f668])).
% 7.39/1.36 fof(f681,plain,(
% 7.39/1.36 spl0_29 <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f683,plain,(
% 7.39/1.36 ~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|spl0_29),
% 7.39/1.36 inference(component_clause,[status(thm)],[f681])).
% 7.39/1.36 fof(f739,plain,(
% 7.39/1.36 app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8)=sk1|~spl0_19),
% 7.39/1.36 inference(forward_demodulation,[status(thm)],[f611,f444])).
% 7.39/1.36 fof(f740,plain,(
% 7.39/1.36 spl0_39 <=> sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f741,plain,(
% 7.39/1.36 sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))|~spl0_39),
% 7.39/1.36 inference(component_clause,[status(thm)],[f740])).
% 7.39/1.36 fof(f743,plain,(
% 7.39/1.36 ~ssList(sk8)|~ssList(cons(sk5,nil))|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))|~spl0_19),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f739,f372])).
% 7.39/1.36 fof(f744,plain,(
% 7.39/1.36 ~spl0_7|~spl0_14|~spl0_11|spl0_39|~spl0_19),
% 7.39/1.36 inference(split_clause,[status(thm)],[f743,f518,f575,f534,f740,f610])).
% 7.39/1.36 fof(f755,plain,(
% 7.39/1.36 spl0_42 <=> ~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f756,plain,(
% 7.39/1.36 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_42)),
% 7.39/1.36 inference(component_clause,[status(thm)],[f755])).
% 7.39/1.36 fof(f758,plain,(
% 7.39/1.36 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)|~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_19)),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f739,f358])).
% 7.39/1.36 fof(f759,plain,(
% 7.39/1.36 spl0_42|~spl0_7|~spl0_29|~spl0_19),
% 7.39/1.36 inference(split_clause,[status(thm)],[f758,f755,f518,f681,f610])).
% 7.39/1.36 fof(f760,plain,(
% 7.39/1.36 spl0_43 <=> sk1=nil),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f788,plain,(
% 7.39/1.36 $false|~spl0_19|~spl0_8|spl0_29),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f683,f664])).
% 7.39/1.36 fof(f789,plain,(
% 7.39/1.36 ~spl0_19|~spl0_8|spl0_29),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f788])).
% 7.39/1.36 fof(f859,plain,(
% 7.39/1.36 spl0_53 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f860,plain,(
% 7.39/1.36 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_53)),
% 7.39/1.36 inference(component_clause,[status(thm)],[f859])).
% 7.39/1.36 fof(f862,plain,(
% 7.39/1.36 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk9)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_5)),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f530,f395])).
% 7.39/1.36 fof(f863,plain,(
% 7.39/1.36 spl0_53|~spl0_9|~spl0_2|~spl0_5),
% 7.39/1.36 inference(split_clause,[status(thm)],[f862,f859,f524,f459,f470])).
% 7.39/1.36 fof(f886,plain,(
% 7.39/1.36 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk9|~spl0_53)),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f860,f274])).
% 7.39/1.36 fof(f892,plain,(
% 7.39/1.36 spl0_58 <=> ssList(app(cons(sk5,nil),sk8))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f893,plain,(
% 7.39/1.36 ssList(app(cons(sk5,nil),sk8))|~spl0_58),
% 7.39/1.36 inference(component_clause,[status(thm)],[f892])).
% 7.39/1.36 fof(f894,plain,(
% 7.39/1.36 ~ssList(app(cons(sk5,nil),sk8))|spl0_58),
% 7.39/1.36 inference(component_clause,[status(thm)],[f892])).
% 7.39/1.36 fof(f956,plain,(
% 7.39/1.36 ~ssList(sk8)|~ssList(cons(sk5,nil))|spl0_58),
% 7.39/1.36 inference(resolution,[status(thm)],[f894,f289])).
% 7.39/1.36 fof(f957,plain,(
% 7.39/1.36 ~spl0_7|~spl0_14|spl0_58),
% 7.39/1.36 inference(split_clause,[status(thm)],[f956,f518,f575,f892])).
% 7.39/1.36 fof(f976,plain,(
% 7.39/1.36 spl0_72 <=> memberP(sk1,sk5)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f977,plain,(
% 7.39/1.36 memberP(sk1,sk5)|~spl0_72),
% 7.39/1.36 inference(component_clause,[status(thm)],[f976])).
% 7.39/1.36 fof(f979,plain,(
% 7.39/1.36 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(sk5)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))|~spl0_42),
% 7.39/1.36 inference(resolution,[status(thm)],[f756,f499])).
% 7.39/1.36 fof(f980,plain,(
% 7.39/1.36 ~spl0_16|spl0_72|~spl0_9|~spl0_11|~spl0_29|~spl0_42),
% 7.39/1.36 inference(split_clause,[status(thm)],[f979,f597,f976,f524,f534,f681,f755])).
% 7.39/1.36 fof(f993,plain,(
% 7.39/1.36 spl0_75 <=> sk5=sk9),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f994,plain,(
% 7.39/1.36 sk5=sk9|~spl0_75),
% 7.39/1.36 inference(component_clause,[status(thm)],[f993])).
% 7.39/1.36 fof(f996,plain,(
% 7.39/1.36 ~ssItem(sk5)|sk5=sk9|~spl0_72|~spl0_53),
% 7.39/1.36 inference(resolution,[status(thm)],[f977,f886])).
% 7.39/1.36 fof(f997,plain,(
% 7.39/1.36 ~spl0_16|spl0_75|~spl0_72|~spl0_53),
% 7.39/1.36 inference(split_clause,[status(thm)],[f996,f597,f993,f976,f859])).
% 7.39/1.36 fof(f1001,plain,(
% 7.39/1.36 cons(sk5,nil)=sk1|~spl0_75|~spl0_5),
% 7.39/1.36 inference(backward_demodulation,[status(thm)],[f994,f530])).
% 7.39/1.36 fof(f1013,plain,(
% 7.39/1.36 ssList(app(sk1,sk8))|~spl0_75|~spl0_5|~spl0_58),
% 7.39/1.36 inference(backward_demodulation,[status(thm)],[f1001,f893])).
% 7.39/1.36 fof(f1016,plain,(
% 7.39/1.36 sk1=app(app(sk7,cons(sk5,nil)),app(sk1,sk8))|~spl0_75|~spl0_5|~spl0_39),
% 7.39/1.36 inference(backward_demodulation,[status(thm)],[f1001,f741])).
% 7.39/1.36 fof(f1017,plain,(
% 7.39/1.36 sk1=app(app(sk7,sk1),app(sk1,sk8))|~spl0_75|~spl0_5|~spl0_39),
% 7.39/1.36 inference(forward_demodulation,[status(thm)],[f1001,f1016])).
% 7.39/1.36 fof(f1022,plain,(
% 7.39/1.36 ssList(app(sk7,sk1))|~spl0_75|~spl0_5|~spl0_11),
% 7.39/1.36 inference(backward_demodulation,[status(thm)],[f1001,f535])).
% 7.39/1.36 fof(f1058,plain,(
% 7.39/1.36 ~sk1=nil|~ssItem(sk5)|~ssList(nil)|~spl0_75|~spl0_5),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f1001,f303])).
% 7.39/1.36 fof(f1059,plain,(
% 7.39/1.36 ~spl0_43|~spl0_16|~spl0_9|~spl0_75|~spl0_5),
% 7.39/1.36 inference(split_clause,[status(thm)],[f1058,f760,f597,f524,f993,f470])).
% 7.39/1.36 fof(f1077,plain,(
% 7.39/1.36 spl0_81 <=> ssList(app(sk7,sk1))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f1079,plain,(
% 7.39/1.36 ~ssList(app(sk7,sk1))|spl0_81),
% 7.39/1.36 inference(component_clause,[status(thm)],[f1077])).
% 7.39/1.36 fof(f1135,plain,(
% 7.39/1.36 $false|~spl0_75|~spl0_5|~spl0_11|spl0_81),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f1079,f1022])).
% 7.39/1.36 fof(f1136,plain,(
% 7.39/1.36 ~spl0_75|~spl0_5|~spl0_11|spl0_81),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f1135])).
% 7.39/1.36 fof(f1163,plain,(
% 7.39/1.36 spl0_95 <=> nil=app(sk7,sk1)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f1164,plain,(
% 7.39/1.36 nil=app(sk7,sk1)|~spl0_95),
% 7.39/1.36 inference(component_clause,[status(thm)],[f1163])).
% 7.39/1.36 fof(f1172,plain,(
% 7.39/1.36 spl0_96 <=> ssList(app(sk1,sk8))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f1174,plain,(
% 7.39/1.36 ~ssList(app(sk1,sk8))|spl0_96),
% 7.39/1.36 inference(component_clause,[status(thm)],[f1172])).
% 7.39/1.36 fof(f1205,plain,(
% 7.39/1.36 spl0_103 <=> nil=app(sk1,sk8)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f1206,plain,(
% 7.39/1.36 nil=app(sk1,sk8)|~spl0_103),
% 7.39/1.36 inference(component_clause,[status(thm)],[f1205])).
% 7.39/1.36 fof(f1233,plain,(
% 7.39/1.36 $false|~spl0_75|~spl0_5|~spl0_58|spl0_96),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f1174,f1013])).
% 7.39/1.36 fof(f1234,plain,(
% 7.39/1.36 ~spl0_75|~spl0_5|~spl0_58|spl0_96),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f1233])).
% 7.39/1.36 fof(f1704,plain,(
% 7.39/1.36 spl0_145 <=> tl(sk1)=nil),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f1705,plain,(
% 7.39/1.36 tl(sk1)=nil|~spl0_145),
% 7.39/1.36 inference(component_clause,[status(thm)],[f1704])).
% 7.39/1.36 fof(f1707,plain,(
% 7.39/1.36 ~ssItem(sk5)|~ssList(nil)|tl(sk1)=nil|~spl0_75|~spl0_5),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f1001,f300])).
% 7.39/1.36 fof(f1708,plain,(
% 7.39/1.36 ~spl0_16|~spl0_9|spl0_145|~spl0_75|~spl0_5),
% 7.39/1.36 inference(split_clause,[status(thm)],[f1707,f597,f524,f1704,f993,f470])).
% 7.39/1.36 fof(f1737,plain,(
% 7.39/1.36 ![X0]: (~ssList(X0)|~spl0_27)),
% 7.39/1.36 inference(duplicate_literals_removal,[status(esa)],[f669])).
% 7.39/1.36 fof(f1738,plain,(
% 7.39/1.36 $false|~spl0_27),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f256,f1737])).
% 7.39/1.36 fof(f1739,plain,(
% 7.39/1.36 ~spl0_27),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f1738])).
% 7.39/1.36 fof(f1981,plain,(
% 7.39/1.36 spl0_170 <=> ssList(skaf82(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f1983,plain,(
% 7.39/1.36 ~ssList(skaf82(nil))|spl0_170),
% 7.39/1.36 inference(component_clause,[status(thm)],[f1981])).
% 7.39/1.36 fof(f2002,plain,(
% 7.39/1.36 spl0_173 <=> ssList(skaf82(sk1))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f2004,plain,(
% 7.39/1.36 ~ssList(skaf82(sk1))|spl0_173),
% 7.39/1.36 inference(component_clause,[status(thm)],[f2002])).
% 7.39/1.36 fof(f2027,plain,(
% 7.39/1.36 $false|spl0_173),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f2004,f216])).
% 7.39/1.36 fof(f2028,plain,(
% 7.39/1.36 spl0_173),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f2027])).
% 7.39/1.36 fof(f2276,plain,(
% 7.39/1.36 spl0_194 <=> ssItem(skaf44(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f2278,plain,(
% 7.39/1.36 ~ssItem(skaf44(nil))|spl0_194),
% 7.39/1.36 inference(component_clause,[status(thm)],[f2276])).
% 7.39/1.36 fof(f2356,plain,(
% 7.39/1.36 spl0_201 <=> ssItem(skaf83(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f2358,plain,(
% 7.39/1.36 ~ssItem(skaf83(nil))|spl0_201),
% 7.39/1.36 inference(component_clause,[status(thm)],[f2356])).
% 7.39/1.36 fof(f2419,plain,(
% 7.39/1.36 $false|spl0_194),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f2278,f250])).
% 7.39/1.36 fof(f2420,plain,(
% 7.39/1.36 spl0_194),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f2419])).
% 7.39/1.36 fof(f2673,plain,(
% 7.39/1.36 spl0_234 <=> ssItem(skaf83(sk1))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f2675,plain,(
% 7.39/1.36 ~ssItem(skaf83(sk1))|spl0_234),
% 7.39/1.36 inference(component_clause,[status(thm)],[f2673])).
% 7.39/1.36 fof(f2682,plain,(
% 7.39/1.36 spl0_235 <=> ssItem(skaf44(sk1))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f2684,plain,(
% 7.39/1.36 ~ssItem(skaf44(sk1))|spl0_235),
% 7.39/1.36 inference(component_clause,[status(thm)],[f2682])).
% 7.39/1.36 fof(f2693,plain,(
% 7.39/1.36 $false|spl0_234),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f2675,f215])).
% 7.39/1.36 fof(f2694,plain,(
% 7.39/1.36 spl0_234),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f2693])).
% 7.39/1.36 fof(f2695,plain,(
% 7.39/1.36 $false|spl0_235),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f2684,f250])).
% 7.39/1.36 fof(f2696,plain,(
% 7.39/1.36 spl0_235),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f2695])).
% 7.39/1.36 fof(f2940,plain,(
% 7.39/1.36 ~ssList(sk1)|~ssList(sk7)|nil=sk1|~spl0_95),
% 7.39/1.36 inference(resolution,[status(thm)],[f1164,f333])).
% 7.39/1.36 fof(f2941,plain,(
% 7.39/1.36 ~spl0_12|~spl0_15|spl0_43|~spl0_95),
% 7.39/1.36 inference(split_clause,[status(thm)],[f2940,f545,f578,f760,f1163])).
% 7.39/1.36 fof(f2942,plain,(
% 7.39/1.36 spl0_253 <=> memberP(nil,sk5)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f2943,plain,(
% 7.39/1.36 memberP(nil,sk5)|~spl0_253),
% 7.39/1.36 inference(component_clause,[status(thm)],[f2942])).
% 7.39/1.36 fof(f3368,plain,(
% 7.39/1.36 spl0_290 <=> frontsegP(sk1,sk1)),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f3370,plain,(
% 7.39/1.36 ~frontsegP(sk1,sk1)|spl0_290),
% 7.39/1.36 inference(component_clause,[status(thm)],[f3368])).
% 7.39/1.36 fof(f3538,plain,(
% 7.39/1.36 spl0_305 <=> ssList(skaf80(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f3540,plain,(
% 7.39/1.36 ~ssList(skaf80(nil))|spl0_305),
% 7.39/1.36 inference(component_clause,[status(thm)],[f3538])).
% 7.39/1.36 fof(f3551,plain,(
% 7.39/1.36 $false|spl0_170),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f1983,f216])).
% 7.39/1.36 fof(f3552,plain,(
% 7.39/1.36 spl0_170),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f3551])).
% 7.39/1.36 fof(f3553,plain,(
% 7.39/1.36 $false|spl0_201),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f2358,f215])).
% 7.39/1.36 fof(f3554,plain,(
% 7.39/1.36 spl0_201),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f3553])).
% 7.39/1.36 fof(f3556,plain,(
% 7.39/1.36 $false|spl0_305),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f3540,f218])).
% 7.39/1.36 fof(f3557,plain,(
% 7.39/1.36 spl0_305),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f3556])).
% 7.39/1.36 fof(f3624,plain,(
% 7.39/1.36 ~ssList(sk1)|spl0_290),
% 7.39/1.36 inference(resolution,[status(thm)],[f3370,f264])).
% 7.39/1.36 fof(f3625,plain,(
% 7.39/1.36 $false|spl0_290),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f3624,f434])).
% 7.39/1.36 fof(f3626,plain,(
% 7.39/1.36 spl0_290),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f3625])).
% 7.39/1.36 fof(f3725,plain,(
% 7.39/1.36 spl0_321 <=> ssList(skaf45(sk1,app(app(sk7,sk1),sk1)))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f3727,plain,(
% 7.39/1.36 ~ssList(skaf45(sk1,app(app(sk7,sk1),sk1)))|spl0_321),
% 7.39/1.36 inference(component_clause,[status(thm)],[f3725])).
% 7.39/1.36 fof(f3735,plain,(
% 7.39/1.36 $false|spl0_321),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f3727,f254])).
% 7.39/1.36 fof(f3736,plain,(
% 7.39/1.36 spl0_321),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f3735])).
% 7.39/1.36 fof(f3810,plain,(
% 7.39/1.36 spl0_330 <=> tl(sk1)=app(tl(app(sk7,sk1)),app(sk1,sk8))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f3811,plain,(
% 7.39/1.36 tl(sk1)=app(tl(app(sk7,sk1)),app(sk1,sk8))|~spl0_330),
% 7.39/1.36 inference(component_clause,[status(thm)],[f3810])).
% 7.39/1.36 fof(f3813,plain,(
% 7.39/1.36 ~ssList(app(sk1,sk8))|~ssList(app(sk7,sk1))|nil=app(sk7,sk1)|tl(sk1)=app(tl(app(sk7,sk1)),app(sk1,sk8))|~spl0_75|~spl0_5|~spl0_39),
% 7.39/1.36 inference(paramodulation,[status(thm)],[f1017,f349])).
% 7.39/1.36 fof(f3814,plain,(
% 7.39/1.36 ~spl0_96|~spl0_81|spl0_95|spl0_330|~spl0_75|~spl0_5|~spl0_39),
% 7.39/1.36 inference(split_clause,[status(thm)],[f3813,f1172,f1077,f1163,f3810,f993,f470,f740])).
% 7.39/1.36 fof(f3849,plain,(
% 7.39/1.36 nil=app(tl(app(sk7,sk1)),app(sk1,sk8))|~spl0_145|~spl0_330),
% 7.39/1.36 inference(forward_demodulation,[status(thm)],[f1705,f3811])).
% 7.39/1.36 fof(f4982,plain,(
% 7.39/1.36 spl0_444 <=> ssList(tl(app(sk7,sk1)))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f4984,plain,(
% 7.39/1.36 ~ssList(tl(app(sk7,sk1)))|spl0_444),
% 7.39/1.36 inference(component_clause,[status(thm)],[f4982])).
% 7.39/1.36 fof(f4994,plain,(
% 7.39/1.36 ~ssList(app(sk1,sk8))|~ssList(tl(app(sk7,sk1)))|nil=app(sk1,sk8)|~spl0_145|~spl0_330),
% 7.39/1.36 inference(resolution,[status(thm)],[f3849,f333])).
% 7.39/1.36 fof(f4995,plain,(
% 7.39/1.36 ~spl0_96|~spl0_444|spl0_103|~spl0_145|~spl0_330),
% 7.39/1.36 inference(split_clause,[status(thm)],[f4994,f1172,f4982,f1205,f1704,f3810])).
% 7.39/1.36 fof(f5109,plain,(
% 7.39/1.36 ~ssList(sk8)|~ssList(sk1)|nil=sk1|~spl0_103),
% 7.39/1.36 inference(resolution,[status(thm)],[f1206,f331])).
% 7.39/1.36 fof(f5110,plain,(
% 7.39/1.36 ~spl0_7|~spl0_12|spl0_43|~spl0_103),
% 7.39/1.36 inference(split_clause,[status(thm)],[f5109,f518,f545,f760,f1205])).
% 7.39/1.36 fof(f5326,plain,(
% 7.39/1.36 spl0_478 <=> ssItem(skaf74(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5328,plain,(
% 7.39/1.36 ~ssItem(skaf74(nil))|spl0_478),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5326])).
% 7.39/1.36 fof(f5329,plain,(
% 7.39/1.36 spl0_479 <=> ssList(skaf77(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5331,plain,(
% 7.39/1.36 ~ssList(skaf77(nil))|spl0_479),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5329])).
% 7.39/1.36 fof(f5334,plain,(
% 7.39/1.36 $false|spl0_479),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5331,f221])).
% 7.39/1.36 fof(f5335,plain,(
% 7.39/1.36 spl0_479),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5334])).
% 7.39/1.36 fof(f5336,plain,(
% 7.39/1.36 spl0_480 <=> ssItem(skaf70(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5338,plain,(
% 7.39/1.36 ~ssItem(skaf70(nil))|spl0_480),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5336])).
% 7.39/1.36 fof(f5339,plain,(
% 7.39/1.36 spl0_481 <=> ssList(skaf73(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5341,plain,(
% 7.39/1.36 ~ssList(skaf73(nil))|spl0_481),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5339])).
% 7.39/1.36 fof(f5344,plain,(
% 7.39/1.36 $false|spl0_481),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5341,f225])).
% 7.39/1.36 fof(f5345,plain,(
% 7.39/1.36 spl0_481),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5344])).
% 7.39/1.36 fof(f5346,plain,(
% 7.39/1.36 spl0_482 <=> ssItem(skaf65(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5348,plain,(
% 7.39/1.36 ~ssItem(skaf65(nil))|spl0_482),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5346])).
% 7.39/1.36 fof(f5349,plain,(
% 7.39/1.36 spl0_483 <=> ssList(skaf68(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5351,plain,(
% 7.39/1.36 ~ssList(skaf68(nil))|spl0_483),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5349])).
% 7.39/1.36 fof(f5354,plain,(
% 7.39/1.36 $false|spl0_483),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5351,f230])).
% 7.39/1.36 fof(f5355,plain,(
% 7.39/1.36 spl0_483),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5354])).
% 7.39/1.36 fof(f5356,plain,(
% 7.39/1.36 spl0_484 <=> ssItem(skaf60(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5358,plain,(
% 7.39/1.36 ~ssItem(skaf60(nil))|spl0_484),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5356])).
% 7.39/1.36 fof(f5359,plain,(
% 7.39/1.36 spl0_485 <=> ssList(skaf63(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5361,plain,(
% 7.39/1.36 ~ssList(skaf63(nil))|spl0_485),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5359])).
% 7.39/1.36 fof(f5364,plain,(
% 7.39/1.36 $false|spl0_485),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5361,f235])).
% 7.39/1.36 fof(f5365,plain,(
% 7.39/1.36 spl0_485),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5364])).
% 7.39/1.36 fof(f5366,plain,(
% 7.39/1.36 spl0_486 <=> ssItem(skaf55(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5368,plain,(
% 7.39/1.36 ~ssItem(skaf55(nil))|spl0_486),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5366])).
% 7.39/1.36 fof(f5369,plain,(
% 7.39/1.36 spl0_487 <=> ssList(skaf58(nil))),
% 7.39/1.36 introduced(split_symbol_definition)).
% 7.39/1.36 fof(f5371,plain,(
% 7.39/1.36 ~ssList(skaf58(nil))|spl0_487),
% 7.39/1.36 inference(component_clause,[status(thm)],[f5369])).
% 7.39/1.36 fof(f5374,plain,(
% 7.39/1.36 $false|spl0_487),
% 7.39/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5371,f240])).
% 7.39/1.36 fof(f5375,plain,(
% 7.39/1.36 spl0_487),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5374])).
% 7.39/1.36 fof(f5564,plain,(
% 7.39/1.36 $false|spl0_486),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f5368,f243])).
% 7.39/1.36 fof(f5565,plain,(
% 7.39/1.36 spl0_486),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5564])).
% 7.39/1.36 fof(f5566,plain,(
% 7.39/1.36 $false|spl0_484),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f5358,f238])).
% 7.39/1.36 fof(f5567,plain,(
% 7.39/1.36 spl0_484),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5566])).
% 7.39/1.36 fof(f5568,plain,(
% 7.39/1.36 $false|spl0_482),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f5348,f233])).
% 7.39/1.36 fof(f5569,plain,(
% 7.39/1.36 spl0_482),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5568])).
% 7.39/1.36 fof(f5570,plain,(
% 7.39/1.36 $false|spl0_480),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f5338,f228])).
% 7.39/1.36 fof(f5571,plain,(
% 7.39/1.36 spl0_480),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5570])).
% 7.39/1.36 fof(f5572,plain,(
% 7.39/1.36 $false|spl0_478),
% 7.39/1.36 inference(backward_subsumption_resolution,[status(thm)],[f5328,f224])).
% 7.39/1.36 fof(f5573,plain,(
% 7.39/1.36 spl0_478),
% 7.39/1.36 inference(contradiction_clause,[status(thm)],[f5572])).
% 7.39/1.36 fof(f6870,plain,(
% 7.39/1.36 ~ssList(app(sk7,sk1))|nil=app(sk7,sk1)|spl0_444),
% 7.39/1.36 inference(resolution,[status(thm)],[f279,f4984])).
% 7.39/1.36 fof(f6871,plain,(
% 7.39/1.36 ~spl0_81|spl0_95|spl0_444),
% 7.39/1.36 inference(split_clause,[status(thm)],[f6870,f1077,f1163,f4982])).
% 7.39/1.36 fof(f7070,plain,(
% 7.39/1.36 memberP(nil,sk5)|~spl0_4|~spl0_72),
% 7.39/1.36 inference(backward_demodulation,[status(thm)],[f511,f977])).
% 7.39/1.36 fof(f7476,plain,(
% 7.39/1.36 ~ssItem(sk5)|~spl0_253),
% 7.39/1.36 inference(resolution,[status(thm)],[f274,f2943])).
% 7.39/1.36 fof(f7477,plain,(
% 7.39/1.36 ~spl0_16|~spl0_253),
% 7.39/1.36 inference(split_clause,[status(thm)],[f7476,f597,f2942])).
% 7.39/1.36 fof(f7481,plain,(
% 7.39/1.36 spl0_253|~spl0_4|~spl0_72),
% 7.39/1.36 inference(split_clause,[status(thm)],[f7070,f2942,f466,f976])).
% 7.39/1.36 fof(f7482,plain,(
% 7.39/1.36 $false),
% 7.39/1.36 inference(sat_refutation,[status(thm)],[f469,f478,f538,f540,f549,f565,f567,f582,f584,f586,f601,f603,f616,f744,f759,f789,f863,f957,f980,f997,f1059,f1136,f1234,f1708,f1739,f2028,f2420,f2694,f2696,f2941,f3552,f3554,f3557,f3626,f3736,f3814,f4995,f5110,f5335,f5345,f5355,f5365,f5375,f5565,f5567,f5569,f5571,f5573,f6871,f7477,f7481])).
% 7.39/1.36 % SZS output end CNFRefutation for theBenchmark.p
% 8.06/1.39 % Elapsed time: 1.052431 seconds
% 8.06/1.39 % CPU time: 8.113166 seconds
% 8.06/1.39 % Total memory used: 142.193 MB
% 8.06/1.39 % Net memory used: 137.598 MB
%------------------------------------------------------------------------------