%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC314-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:42:08 PM UTC 2026
% Result : Unsatisfiable 26.37s 4.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC314-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n026.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 08:17:06 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 26.37/4.04 % Refutation found
% 26.37/4.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.37/4.04 % SZS output start CNFRefutation for theBenchmark
% 26.37/4.04 fof(f8,axiom,(
% 26.37/4.04 ssList(nil) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f12,axiom,(
% 26.37/4.04 (![U]: (ssItem(skaf83(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f13,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf82(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f14,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf81(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f15,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf80(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f18,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf77(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f19,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf76(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f20,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf75(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f22,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf73(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f23,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf72(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f24,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf71(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f27,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf68(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f28,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf67(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f29,axiom,(
% 26.37/4.04 (![U]: (ssList(skaf66(U)) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f56,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f58,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| rearsegP(U,nil) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f60,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f73,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f74,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f75,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f76,axiom,(
% 26.37/4.04 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f79,axiom,(
% 26.37/4.04 (![U]: (( nil != U| ~ ssList(U)| segmentP(nil,U) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f80,axiom,(
% 26.37/4.04 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f81,axiom,(
% 26.37/4.04 (![U]: (( nil != U| ~ ssList(U)| rearsegP(nil,U) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f82,axiom,(
% 26.37/4.04 (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f83,axiom,(
% 26.37/4.04 (![U]: (( nil != U| ~ ssList(U)| frontsegP(nil,U) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f84,axiom,(
% 26.37/4.04 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f85,axiom,(
% 26.37/4.04 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f86,axiom,(
% 26.37/4.04 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f96,axiom,(
% 26.37/4.04 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| tl(cons(U,V)) = V ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f97,axiom,(
% 26.37/4.04 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| hd(cons(U,V)) = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f99,axiom,(
% 26.37/4.04 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f100,axiom,(
% 26.37/4.04 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f118,axiom,(
% 26.37/4.04 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f120,axiom,(
% 26.37/4.04 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f127,axiom,(
% 26.37/4.04 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f128,axiom,(
% 26.37/4.04 (![U,V]: (( ~ rearsegP(U,V)| ~ rearsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f129,axiom,(
% 26.37/4.04 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f131,axiom,(
% 26.37/4.04 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f132,axiom,(
% 26.37/4.04 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f136,axiom,(
% 26.37/4.04 (![U,V,W]: (( ~ rearsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| rearsegP(app(W,U),V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f137,axiom,(
% 26.37/4.04 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f143,axiom,(
% 26.37/4.04 (![U,V,W]: (( app(U,V) != W| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| rearsegP(W,V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f144,axiom,(
% 26.37/4.04 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f145,axiom,(
% 26.37/4.04 (![U,V]: (( nil != U| nil != V| ~ ssList(V)| ~ ssList(U)| app(U,V) = nil ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f150,axiom,(
% 26.37/4.04 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f151,axiom,(
% 26.37/4.04 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f152,axiom,(
% 26.37/4.04 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f153,axiom,(
% 26.37/4.04 (![U,V,W]: (( ~ rearsegP(U,V)| ~ rearsegP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| rearsegP(U,W) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f154,axiom,(
% 26.37/4.04 (![U,V,W]: (( ~ frontsegP(U,V)| ~ frontsegP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(U,W) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f168,axiom,(
% 26.37/4.04 (![U,V]: (( ~ segmentP(U,V)| ~ ssList(V)| ~ ssList(U)| app(app(skaf47(U,V),V),skaf48(V,U)) = U ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f172,axiom,(
% 26.37/4.04 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f173,axiom,(
% 26.37/4.04 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f187,negated_conjecture,(
% 26.37/4.04 ssList(sk2) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f188,negated_conjecture,(
% 26.37/4.04 ssList(sk3) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f190,negated_conjecture,(
% 26.37/4.04 sk2 = sk4 ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f191,negated_conjecture,(
% 26.37/4.04 sk1 = sk3 ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f192,negated_conjecture,(
% 26.37/4.04 ( nil = sk3| nil != sk4 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f193,negated_conjecture,(
% 26.37/4.04 (![A,B,C,D]: (( ~ ssList(A)| sk3 = A| ~ ssList(B)| ~ ssList(C)| tl(sk4) != B| app(B,C) != A| ~ ssItem(D)| cons(D,nil) != C| hd(sk4) != D| ~ neq(nil,sk4)| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f194,negated_conjecture,(
% 26.37/4.04 ( ssItem(sk5)| nil = sk2 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f195,negated_conjecture,(
% 26.37/4.04 ( ssItem(sk5)| nil != sk1 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f196,negated_conjecture,(
% 26.37/4.04 ( ssList(sk6)| nil = sk2 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f197,negated_conjecture,(
% 26.37/4.04 ( app(cons(sk5,nil),sk6) = sk2| nil = sk2 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f198,negated_conjecture,(
% 26.37/4.04 ( app(sk6,cons(sk5,nil)) != sk1| nil = sk2 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f199,negated_conjecture,(
% 26.37/4.04 ( ssList(sk6)| nil != sk1 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f200,negated_conjecture,(
% 26.37/4.04 ( app(cons(sk5,nil),sk6) = sk2| nil != sk1 ) ),
% 26.37/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.37/4.04 fof(f209,plain,(
% 26.37/4.04 ssList(nil)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f8])).
% 26.37/4.04 fof(f213,plain,(
% 26.37/4.04 ![X0]: (ssItem(skaf83(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f12])).
% 26.37/4.04 fof(f214,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf82(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f13])).
% 26.37/4.04 fof(f215,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf81(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f14])).
% 26.37/4.04 fof(f216,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf80(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f15])).
% 26.37/4.04 fof(f219,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf77(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f18])).
% 26.37/4.04 fof(f220,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf76(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f19])).
% 26.37/4.04 fof(f221,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf75(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f20])).
% 26.37/4.04 fof(f223,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf73(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f22])).
% 26.37/4.04 fof(f224,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf72(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f23])).
% 26.37/4.04 fof(f225,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf71(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f24])).
% 26.37/4.04 fof(f228,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf68(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f27])).
% 26.37/4.04 fof(f229,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf67(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f28])).
% 26.37/4.04 fof(f230,plain,(
% 26.37/4.04 ![X0]: (ssList(skaf66(X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f29])).
% 26.37/4.04 fof(f257,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f56])).
% 26.37/4.04 fof(f259,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f58])).
% 26.37/4.04 fof(f261,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f60])).
% 26.37/4.04 fof(f275,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f73])).
% 26.37/4.04 fof(f276,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f74])).
% 26.37/4.04 fof(f277,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f75])).
% 26.37/4.04 fof(f278,plain,(
% 26.37/4.04 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f76])).
% 26.37/4.04 fof(f281,plain,(
% 26.37/4.04 ![X0]: (~nil=X0|~ssList(X0)|segmentP(nil,X0))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f79])).
% 26.37/4.04 fof(f282,plain,(
% 26.37/4.04 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f80])).
% 26.37/4.04 fof(f283,plain,(
% 26.37/4.04 ![X0]: (~nil=X0|~ssList(X0)|rearsegP(nil,X0))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f81])).
% 26.37/4.04 fof(f284,plain,(
% 26.37/4.04 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f82])).
% 26.37/4.04 fof(f285,plain,(
% 26.37/4.04 ![X0]: (~nil=X0|~ssList(X0)|frontsegP(nil,X0))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f83])).
% 26.37/4.04 fof(f286,plain,(
% 26.37/4.04 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f84])).
% 26.37/4.04 fof(f287,plain,(
% 26.37/4.04 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f85])).
% 26.37/4.04 fof(f288,plain,(
% 26.37/4.04 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f86])).
% 26.37/4.04 fof(f298,plain,(
% 26.37/4.04 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|tl(cons(X0,X1))=X1)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f96])).
% 26.37/4.04 fof(f299,plain,(
% 26.37/4.04 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|hd(cons(X0,X1))=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f97])).
% 26.37/4.04 fof(f302,plain,(
% 26.37/4.04 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f99])).
% 26.37/4.04 fof(f303,plain,(
% 26.37/4.04 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f302])).
% 26.37/4.04 fof(f304,plain,(
% 26.37/4.04 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f100])).
% 26.37/4.04 fof(f328,plain,(
% 26.37/4.04 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f118])).
% 26.37/4.04 fof(f329,plain,(
% 26.37/4.04 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f328])).
% 26.37/4.04 fof(f332,plain,(
% 26.37/4.04 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f120])).
% 26.37/4.04 fof(f341,plain,(
% 26.37/4.04 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f127])).
% 26.37/4.04 fof(f342,plain,(
% 26.37/4.04 ![X0,X1]: (~rearsegP(X0,X1)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f128])).
% 26.37/4.04 fof(f343,plain,(
% 26.37/4.04 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f129])).
% 26.37/4.04 fof(f345,plain,(
% 26.37/4.04 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f131])).
% 26.37/4.04 fof(f346,plain,(
% 26.37/4.04 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f132])).
% 26.37/4.04 fof(f352,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~rearsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|rearsegP(app(X2,X0),X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f136])).
% 26.37/4.04 fof(f353,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f137])).
% 26.37/4.04 fof(f359,plain,(
% 26.37/4.04 ![V,W]: ((((![U]: (~app(U,V)=W|~ssList(U)))|~ssList(V))|~ssList(W))|rearsegP(W,V))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f143])).
% 26.37/4.04 fof(f360,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X0)|~ssList(X1)|~ssList(X2)|rearsegP(X2,X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f359])).
% 26.37/4.04 fof(f361,plain,(
% 26.37/4.04 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f144])).
% 26.37/4.04 fof(f362,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f361])).
% 26.37/4.04 fof(f363,plain,(
% 26.37/4.04 ![X0,X1]: (~nil=X0|~nil=X1|~ssList(X1)|~ssList(X0)|app(X0,X1)=nil)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f145])).
% 26.37/4.04 fof(f371,plain,(
% 26.37/4.04 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f150])).
% 26.37/4.04 fof(f372,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f371])).
% 26.37/4.04 fof(f373,plain,(
% 26.37/4.04 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f151])).
% 26.37/4.04 fof(f374,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f373])).
% 26.37/4.04 fof(f375,plain,(
% 26.37/4.04 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f152])).
% 26.37/4.04 fof(f376,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f375])).
% 26.37/4.04 fof(f377,plain,(
% 26.37/4.04 ![U,W]: (((![V]: (((~rearsegP(U,V)|~rearsegP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|rearsegP(U,W))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f153])).
% 26.37/4.04 fof(f378,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~rearsegP(X0,X1)|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|rearsegP(X0,X2))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f377])).
% 26.37/4.04 fof(f379,plain,(
% 26.37/4.04 ![U,W]: (((![V]: (((~frontsegP(U,V)|~frontsegP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|frontsegP(U,W))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f154])).
% 26.37/4.04 fof(f380,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~frontsegP(X0,X1)|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(X0,X2))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f379])).
% 26.37/4.04 fof(f400,plain,(
% 26.37/4.04 ![X0,X1]: (~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|app(app(skaf47(X0,X1),X1),skaf48(X1,X0))=X0)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f168])).
% 26.37/4.04 fof(f406,plain,(
% 26.37/4.04 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f172])).
% 26.37/4.04 fof(f407,plain,(
% 26.37/4.04 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f173])).
% 26.37/4.04 fof(f408,plain,(
% 26.37/4.04 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f407])).
% 26.37/4.04 fof(f433,plain,(
% 26.37/4.04 ssList(sk2)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f187])).
% 26.37/4.04 fof(f434,plain,(
% 26.37/4.04 ssList(sk3)),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f188])).
% 26.37/4.04 fof(f436,plain,(
% 26.37/4.04 sk2=sk4),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f190])).
% 26.37/4.04 fof(f437,plain,(
% 26.37/4.04 sk1=sk3),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f191])).
% 26.37/4.04 fof(f438,plain,(
% 26.37/4.04 nil=sk3|~nil=sk4),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f192])).
% 26.37/4.04 fof(f439,plain,(
% 26.37/4.04 (((![D]: ((![C]: (((![A,B]: (((((~ssList(A)|sk3=A)|~ssList(B))|~ssList(C))|~tl(sk4)=B)|~app(B,C)=A))|~ssItem(D))|~cons(D,nil)=C))|~hd(sk4)=D))|~neq(nil,sk4))|~neq(nil,sk4))|~neq(sk4,nil)),
% 26.37/4.04 inference(miniscoping,[status(thm)],[f193])).
% 26.37/4.04 fof(f440,plain,(
% 26.37/4.04 ![X0,X1,X2,X3]: (~ssList(X0)|sk3=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3|~neq(nil,sk4)|~neq(nil,sk4)|~neq(sk4,nil))),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f439])).
% 26.37/4.04 fof(f441,plain,(
% 26.37/4.04 ssItem(sk5)|nil=sk2),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f194])).
% 26.37/4.04 fof(f442,plain,(
% 26.37/4.04 ssItem(sk5)|~nil=sk1),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f195])).
% 26.37/4.04 fof(f443,plain,(
% 26.37/4.04 ssList(sk6)|nil=sk2),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f196])).
% 26.37/4.04 fof(f444,plain,(
% 26.37/4.04 app(cons(sk5,nil),sk6)=sk2|nil=sk2),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f197])).
% 26.37/4.04 fof(f445,plain,(
% 26.37/4.04 ~app(sk6,cons(sk5,nil))=sk1|nil=sk2),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f198])).
% 26.37/4.04 fof(f446,plain,(
% 26.37/4.04 ssList(sk6)|~nil=sk1),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f199])).
% 26.37/4.04 fof(f447,plain,(
% 26.37/4.04 app(cons(sk5,nil),sk6)=sk2|~nil=sk1),
% 26.37/4.04 inference(cnf_transformation,[status(thm)],[f200])).
% 26.37/4.04 fof(f456,definition,(
% 26.37/4.04 sQ2_spl <=> (nil=sk3)),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f457,plain,(
% 26.37/4.04 nil=sk3|~sQ2_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f456])).
% 26.37/4.04 fof(f459,definition,(
% 26.37/4.04 sQ3_spl <=> (nil=sk4)),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f461,plain,(
% 26.37/4.04 ~nil=sk4|sQ3_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f459])).
% 26.37/4.04 fof(f462,plain,(
% 26.37/4.04 sQ2_spl|~sQ3_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f438,f456,f459])).
% 26.37/4.04 fof(f463,definition,(
% 26.37/4.04 ![X0,X1,X2,X3]: (sQ4_spl <=> (~ssList(X0)|sk3=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3))),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f464,plain,(
% 26.37/4.04 ![X0,X1,X2,X3]: (~ssList(X0)|sk3=X0|~ssList(X1)|~ssList(X2)|~tl(sk4)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk4)=X3|~sQ4_spl)),
% 26.37/4.04 inference(component_clause,[status(thm)],[f463])).
% 26.37/4.04 fof(f466,definition,(
% 26.37/4.04 sQ5_spl <=> (neq(nil,sk4))),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f468,plain,(
% 26.37/4.04 ~neq(nil,sk4)|sQ5_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f466])).
% 26.37/4.04 fof(f469,definition,(
% 26.37/4.04 sQ6_spl <=> (neq(sk4,nil))),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f471,plain,(
% 26.37/4.04 ~neq(sk4,nil)|sQ6_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f469])).
% 26.37/4.04 fof(f472,plain,(
% 26.37/4.04 sQ4_spl|~sQ5_spl|~sQ6_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f440,f463,f466,f469])).
% 26.37/4.04 fof(f473,definition,(
% 26.37/4.04 sQ7_spl <=> (ssItem(sk5))),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f474,plain,(
% 26.37/4.04 ssItem(sk5)|~sQ7_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f473])).
% 26.37/4.04 fof(f476,definition,(
% 26.37/4.04 sQ8_spl <=> (nil=sk2)),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f477,plain,(
% 26.37/4.04 nil=sk2|~sQ8_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f476])).
% 26.37/4.04 fof(f478,plain,(
% 26.37/4.04 ~nil=sk2|sQ8_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f476])).
% 26.37/4.04 fof(f479,plain,(
% 26.37/4.04 sQ7_spl|sQ8_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f441,f473,f476])).
% 26.37/4.04 fof(f480,definition,(
% 26.37/4.04 sQ9_spl <=> (nil=sk1)),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f482,plain,(
% 26.37/4.04 ~nil=sk1|sQ9_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f480])).
% 26.37/4.04 fof(f483,plain,(
% 26.37/4.04 sQ7_spl|~sQ9_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f442,f473,f480])).
% 26.37/4.04 fof(f484,definition,(
% 26.37/4.04 sQ10_spl <=> (ssList(sk6))),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f485,plain,(
% 26.37/4.04 ssList(sk6)|~sQ10_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f484])).
% 26.37/4.04 fof(f487,plain,(
% 26.37/4.04 sQ10_spl|sQ8_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f443,f484,f476])).
% 26.37/4.04 fof(f488,definition,(
% 26.37/4.04 sQ11_spl <=> (app(cons(sk5,nil),sk6)=sk2)),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f489,plain,(
% 26.37/4.04 app(cons(sk5,nil),sk6)=sk2|~sQ11_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f488])).
% 26.37/4.04 fof(f491,plain,(
% 26.37/4.04 sQ11_spl|sQ8_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f444,f488,f476])).
% 26.37/4.04 fof(f492,definition,(
% 26.37/4.04 sQ12_spl <=> (app(sk6,cons(sk5,nil))=sk1)),
% 26.37/4.04 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 26.37/4.04 fof(f494,plain,(
% 26.37/4.04 ~app(sk6,cons(sk5,nil))=sk1|sQ12_spl),
% 26.37/4.04 inference(component_clause,[status(thm)],[f492])).
% 26.37/4.04 fof(f495,plain,(
% 26.37/4.04 ~sQ12_spl|sQ8_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f445,f492,f476])).
% 26.37/4.04 fof(f496,plain,(
% 26.37/4.04 sQ10_spl|~sQ9_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f446,f484,f480])).
% 26.37/4.04 fof(f497,plain,(
% 26.37/4.04 sQ11_spl|~sQ9_spl),
% 26.37/4.04 inference(split_clause,[status(thm)],[f447,f488,f480])).
% 26.37/4.04 fof(f499,plain,(
% 26.37/4.04 ~ssList(nil)|segmentP(nil,nil)),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f281])).
% 26.37/4.04 fof(f500,plain,(
% 26.37/4.04 ~ssList(nil)|rearsegP(nil,nil)),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f283])).
% 26.37/4.04 fof(f501,plain,(
% 26.37/4.04 ~ssList(nil)|frontsegP(nil,nil)),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f285])).
% 26.37/4.04 fof(f513,plain,(
% 26.37/4.04 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X0,X1))|rearsegP(app(X0,X1),X1))),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f360])).
% 26.37/4.04 fof(f514,plain,(
% 26.37/4.04 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f362])).
% 26.37/4.04 fof(f515,plain,(
% 26.37/4.04 ~ssList(nil)|~ssList(nil)|app(nil,nil)=nil),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f363])).
% 26.37/4.04 fof(f516,plain,(
% 26.37/4.04 ~ssList(nil)|app(nil,nil)=nil),
% 26.37/4.04 inference(duplicate_literals_removal,[status(thm)],[f515])).
% 26.37/4.04 fof(f517,plain,(
% 26.37/4.04 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 26.37/4.04 inference(destructive_equality_resolution,[status(thm)],[f408])).
% 26.37/4.04 fof(f530,plain,(
% 26.37/4.04 ~nil=sk3|sQ9_spl),
% 26.37/4.04 inference(forward_demodulation,[status(thm)],[f437,f482])).
% 26.37/4.04 fof(f556,plain,(
% 26.37/4.04 ~nil=sk2|sQ3_spl),
% 26.37/4.04 inference(forward_demodulation,[status(thm)],[f436,f461])).
% 26.37/4.04 fof(f557,plain,(
% 26.37/4.04 ~app(sk6,cons(sk5,nil))=sk3|sQ12_spl),
% 26.37/4.04 inference(forward_demodulation,[status(thm)],[f437,f494])).
% 26.37/4.04 fof(f558,plain,(
% 26.37/4.04 ~neq(sk2,nil)|sQ6_spl),
% 26.37/4.04 inference(forward_demodulation,[status(thm)],[f436,f471])).
% 26.37/4.04 fof(f559,plain,(
% 26.37/4.04 ![X0]: (app(nil,skaf80(X0))=skaf80(X0))),
% 26.37/4.04 inference(resolution,[status(thm)],[f276,f216])).
% 26.37/4.04 fof(f560,plain,(
% 26.37/4.04 ![X0]: (app(nil,skaf81(X0))=skaf81(X0))),
% 26.37/4.04 inference(resolution,[status(thm)],[f276,f215])).
% 26.37/4.04 fof(f562,plain,(
% 26.37/4.04 app(nil,nil)=nil),
% 26.37/4.04 inference(resolution,[status(thm)],[f276,f209])).
% 26.37/4.04 fof(f563,plain,(
% 26.37/4.04 ![X0]: (app(nil,skaf82(X0))=skaf82(X0))),
% 26.37/4.04 inference(resolution,[status(thm)],[f276,f214])).
% 26.37/4.04 fof(f565,plain,(
% 26.37/4.04 app(nil,sk3)=sk3),
% 26.37/4.04 inference(resolution,[status(thm)],[f276,f434])).
% 26.37/4.05 fof(f572,plain,(
% 26.37/4.05 ~ssList(sk6)|~ssList(cons(sk5,nil))|ssList(sk2)|~sQ11_spl),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f489,f287])).
% 26.37/4.05 fof(f573,definition,(
% 26.37/4.05 sQ13_spl <=> (ssList(sk2))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f576,definition,(
% 26.37/4.05 sQ14_spl <=> (ssList(nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f578,plain,(
% 26.37/4.05 ~ssList(nil)|sQ14_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f576])).
% 26.37/4.05 fof(f580,definition,(
% 26.37/4.05 sQ15_spl <=> (ssList(sk3))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f582,plain,(
% 26.37/4.05 ~ssList(sk3)|sQ15_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f580])).
% 26.37/4.05 fof(f586,definition,(
% 26.37/4.05 sQ16_spl <=> (ssList(cons(sk5,nil)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f588,plain,(
% 26.37/4.05 ~ssList(cons(sk5,nil))|sQ16_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f586])).
% 26.37/4.05 fof(f589,plain,(
% 26.37/4.05 ~sQ10_spl|~sQ16_spl|sQ13_spl|~sQ11_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f572,f484,f586,f573,f488])).
% 26.37/4.05 fof(f590,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf77(X0))=skaf77(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f219,f276])).
% 26.37/4.05 fof(f591,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf76(X0))=skaf76(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f220,f276])).
% 26.37/4.05 fof(f592,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf75(X0))=skaf75(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f221,f276])).
% 26.37/4.05 fof(f593,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf73(X0))=skaf73(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f223,f276])).
% 26.37/4.05 fof(f594,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf72(X0))=skaf72(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f224,f276])).
% 26.37/4.05 fof(f595,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf71(X0))=skaf71(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f225,f276])).
% 26.37/4.05 fof(f596,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf68(X0))=skaf68(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f228,f276])).
% 26.37/4.05 fof(f597,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf67(X0))=skaf67(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f229,f276])).
% 26.37/4.05 fof(f598,plain,(
% 26.37/4.05 ![X0]: (app(skaf67(X0),nil)=skaf67(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f229])).
% 26.37/4.05 fof(f599,plain,(
% 26.37/4.05 ![X0]: (app(skaf68(X0),nil)=skaf68(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f228])).
% 26.37/4.05 fof(f600,plain,(
% 26.37/4.05 ![X0]: (app(skaf71(X0),nil)=skaf71(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f225])).
% 26.37/4.05 fof(f601,plain,(
% 26.37/4.05 ![X0]: (app(skaf72(X0),nil)=skaf72(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f224])).
% 26.37/4.05 fof(f602,plain,(
% 26.37/4.05 ![X0]: (app(skaf73(X0),nil)=skaf73(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f223])).
% 26.37/4.05 fof(f603,plain,(
% 26.37/4.05 ![X0]: (app(skaf75(X0),nil)=skaf75(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f221])).
% 26.37/4.05 fof(f604,plain,(
% 26.37/4.05 ![X0]: (app(skaf76(X0),nil)=skaf76(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f220])).
% 26.37/4.05 fof(f605,plain,(
% 26.37/4.05 ![X0]: (app(skaf77(X0),nil)=skaf77(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f219])).
% 26.37/4.05 fof(f607,plain,(
% 26.37/4.05 ![X0]: (app(skaf80(X0),nil)=skaf80(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f216])).
% 26.37/4.05 fof(f608,plain,(
% 26.37/4.05 ![X0]: (app(skaf81(X0),nil)=skaf81(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f215])).
% 26.37/4.05 fof(f611,plain,(
% 26.37/4.05 ![X0]: (app(skaf82(X0),nil)=skaf82(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f214])).
% 26.37/4.05 fof(f613,plain,(
% 26.37/4.05 app(sk3,nil)=sk3),
% 26.37/4.05 inference(resolution,[status(thm)],[f275,f434])).
% 26.37/4.05 fof(f621,plain,(
% 26.37/4.05 ![X0]: (~ssList(skaf80(X0))|~ssList(nil)|ssList(skaf80(X0)))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f559,f287])).
% 26.37/4.05 fof(f622,definition,(
% 26.37/4.05 ![X0]: (sQ17_spl <=> (~ssList(skaf80(X0))|ssList(skaf80(X0))))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f625,plain,(
% 26.37/4.05 sQ17_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f621,f622,f576])).
% 26.37/4.05 fof(f626,plain,(
% 26.37/4.05 $false|sQ14_spl),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f578,f209])).
% 26.37/4.05 fof(f627,plain,(
% 26.37/4.05 sQ14_spl),
% 26.37/4.05 inference(contradiction_clause,[status(thm)],[f626])).
% 26.37/4.05 fof(f628,plain,(
% 26.37/4.05 ![X0]: (~ssList(skaf81(X0))|~ssList(nil)|ssList(skaf81(X0)))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f560,f287])).
% 26.37/4.05 fof(f629,definition,(
% 26.37/4.05 ![X0]: (sQ18_spl <=> (~ssList(skaf81(X0))|ssList(skaf81(X0))))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f632,plain,(
% 26.37/4.05 sQ18_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f628,f629,f576])).
% 26.37/4.05 fof(f633,plain,(
% 26.37/4.05 ![X0]: (~ssList(skaf82(X0))|~ssList(nil)|ssList(skaf82(X0)))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f563,f287])).
% 26.37/4.05 fof(f634,definition,(
% 26.37/4.05 ![X0]: (sQ19_spl <=> (~ssList(skaf82(X0))|ssList(skaf82(X0))))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f637,plain,(
% 26.37/4.05 sQ19_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f633,f634,f576])).
% 26.37/4.05 fof(f638,plain,(
% 26.37/4.05 ![X0]: (~ssList(skaf77(X0))|~ssList(nil)|ssList(skaf77(X0)))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f590,f287])).
% 26.37/4.05 fof(f639,definition,(
% 26.37/4.05 ![X0]: (sQ20_spl <=> (~ssList(skaf77(X0))|ssList(skaf77(X0))))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f642,plain,(
% 26.37/4.05 sQ20_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f638,f639,f576])).
% 26.37/4.05 fof(f643,plain,(
% 26.37/4.05 ![X0]: (~ssList(skaf76(X0))|~ssList(nil)|ssList(skaf76(X0)))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f591,f287])).
% 26.37/4.05 fof(f644,definition,(
% 26.37/4.05 ![X0]: (sQ21_spl <=> (~ssList(skaf76(X0))|ssList(skaf76(X0))))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f647,plain,(
% 26.37/4.05 sQ21_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f643,f644,f576])).
% 26.37/4.05 fof(f648,plain,(
% 26.37/4.05 ~ssItem(sk5)|~ssList(nil)|sQ16_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f288,f588])).
% 26.37/4.05 fof(f651,plain,(
% 26.37/4.05 ~sQ7_spl|~sQ14_spl|sQ16_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f648,f473,f576,f586])).
% 26.37/4.05 fof(f652,plain,(
% 26.37/4.05 $false|sQ3_spl|~sQ8_spl),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f477,f556])).
% 26.37/4.05 fof(f653,plain,(
% 26.37/4.05 sQ3_spl|~sQ8_spl),
% 26.37/4.05 inference(contradiction_clause,[status(thm)],[f652])).
% 26.37/4.05 fof(f680,plain,(
% 26.37/4.05 ![X0]: (app(skaf66(X0),nil)=skaf66(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f230,f275])).
% 26.37/4.05 fof(f681,plain,(
% 26.37/4.05 ![X0]: (app(nil,skaf66(X0))=skaf66(X0))),
% 26.37/4.05 inference(resolution,[status(thm)],[f230,f276])).
% 26.37/4.05 fof(f708,plain,(
% 26.37/4.05 ![X0]: (~ssList(X0)|tl(cons(sk5,X0))=X0|~sQ7_spl)),
% 26.37/4.05 inference(resolution,[status(thm)],[f474,f298])).
% 26.37/4.05 fof(f728,plain,(
% 26.37/4.05 ![X0]: (~ssList(X0)|hd(cons(sk5,X0))=sk5|~sQ7_spl)),
% 26.37/4.05 inference(resolution,[status(thm)],[f299,f474])).
% 26.37/4.05 fof(f771,plain,(
% 26.37/4.05 ![X0]: (~cons(sk5,X0)=X0|~ssList(X0)|~sQ7_spl)),
% 26.37/4.05 inference(resolution,[status(thm)],[f303,f474])).
% 26.37/4.05 fof(f785,definition,(
% 26.37/4.05 sQ22_spl <=> (sk3=sk3)),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f789,plain,(
% 26.37/4.05 $false|sQ15_spl),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f582,f434])).
% 26.37/4.05 fof(f790,plain,(
% 26.37/4.05 sQ15_spl),
% 26.37/4.05 inference(contradiction_clause,[status(thm)],[f789])).
% 26.37/4.05 fof(f805,plain,(
% 26.37/4.05 ~sk3=sk2|~sQ2_spl|sQ8_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f457,f478])).
% 26.37/4.05 fof(f980,plain,(
% 26.37/4.05 ~ssList(app(tl(sk4),cons(hd(sk4),nil)))|sk3=app(tl(sk4),cons(hd(sk4),nil))|~ssList(tl(sk4))|~ssList(cons(hd(sk4),nil))|~ssItem(hd(sk4))|~sQ4_spl),
% 26.37/4.05 inference(destructive_equality_resolution,[status(thm)],[f464])).
% 26.37/4.05 fof(f981,plain,(
% 26.37/4.05 sk3=app(tl(sk4),cons(hd(sk4),nil))|~ssList(tl(sk4))|~ssList(cons(hd(sk4),nil))|~ssItem(hd(sk4))|~sQ4_spl),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f980,f287])).
% 26.37/4.05 fof(f991,plain,(
% 26.37/4.05 ![X0]: (~ssList(X0)|app(cons(sk5,nil),X0)=cons(sk5,X0)|~sQ7_spl)),
% 26.37/4.05 inference(resolution,[status(thm)],[f332,f474])).
% 26.37/4.05 fof(f1042,definition,(
% 26.37/4.05 sQ32_spl <=> (nil=nil)),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1073,plain,(
% 26.37/4.05 sk3=app(tl(sk2),cons(hd(sk4),nil))|~ssList(tl(sk4))|~ssList(cons(hd(sk4),nil))|~ssItem(hd(sk4))|~sQ4_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f436,f981])).
% 26.37/4.05 fof(f1074,plain,(
% 26.37/4.05 sk3=app(tl(sk2),cons(hd(sk2),nil))|~ssList(tl(sk4))|~ssList(cons(hd(sk4),nil))|~ssItem(hd(sk4))|~sQ4_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f436,f1073])).
% 26.37/4.05 fof(f1287,plain,(
% 26.37/4.05 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 26.37/4.05 inference(equality_resolution,[status(thm)],[f372])).
% 26.37/4.05 fof(f1318,definition,(
% 26.37/4.05 ![X0]: (sQ50_spl <=> (~ssList(X0)|~ssList(X0)|X0=X0))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1321,definition,(
% 26.37/4.05 ![X1]: (sQ51_spl <=> (~ssList(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1322,plain,(
% 26.37/4.05 ![X0]: (~ssList(X0)|~sQ51_spl)),
% 26.37/4.05 inference(component_clause,[status(thm)],[f1321])).
% 26.37/4.05 fof(f1324,plain,(
% 26.37/4.05 sQ50_spl|sQ51_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1287,f1318,f1321])).
% 26.37/4.05 fof(f1325,definition,(
% 26.37/4.05 sQ52_spl <=> (app(nil,nil)=nil)),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1328,plain,(
% 26.37/4.05 ~sQ14_spl|sQ52_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f516,f576,f1325])).
% 26.37/4.05 fof(f1329,definition,(
% 26.37/4.05 sQ53_spl <=> (sk3=app(tl(sk2),cons(hd(sk2),nil)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1330,plain,(
% 26.37/4.05 sk3=app(tl(sk2),cons(hd(sk2),nil))|~sQ53_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f1329])).
% 26.37/4.05 fof(f1332,definition,(
% 26.37/4.05 sQ54_spl <=> (ssList(tl(sk4)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1334,plain,(
% 26.37/4.05 ~ssList(tl(sk4))|sQ54_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f1332])).
% 26.37/4.05 fof(f1335,definition,(
% 26.37/4.05 sQ55_spl <=> (ssList(cons(hd(sk4),nil)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1337,plain,(
% 26.37/4.05 ~ssList(cons(hd(sk4),nil))|sQ55_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f1335])).
% 26.37/4.05 fof(f1338,definition,(
% 26.37/4.05 sQ56_spl <=> (ssItem(hd(sk4)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1340,plain,(
% 26.37/4.05 ~ssItem(hd(sk4))|sQ56_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f1338])).
% 26.37/4.05 fof(f1341,plain,(
% 26.37/4.05 sQ53_spl|~sQ54_spl|~sQ55_spl|~sQ56_spl|~sQ4_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1074,f1329,f1332,f1335,f1338,f463])).
% 26.37/4.05 fof(f1342,plain,(
% 26.37/4.05 ~ssItem(hd(sk2))|sQ56_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f436,f1340])).
% 26.37/4.05 fof(f1343,plain,(
% 26.37/4.05 ~ssList(cons(hd(sk2),nil))|sQ55_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f436,f1337])).
% 26.37/4.05 fof(f1344,plain,(
% 26.37/4.05 ~ssList(tl(sk2))|sQ54_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f436,f1334])).
% 26.37/4.05 fof(f1346,plain,(
% 26.37/4.05 $false|~sQ51_spl),
% 26.37/4.05 inference(backward_subsumption_resolution,[status(thm)],[f433,f1322])).
% 26.37/4.05 fof(f1376,plain,(
% 26.37/4.05 ~sQ51_spl),
% 26.37/4.05 inference(contradiction_clause,[status(thm)],[f1346])).
% 26.37/4.05 fof(f1405,plain,(
% 26.37/4.05 segmentP(nil,nil)),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f499,f209])).
% 26.37/4.05 fof(f1420,plain,(
% 26.37/4.05 ![X0]: (~app(X0,nil)=sk3|~ssList(X0)|~ssList(nil)|~ssList(sk3)|X0=sk3)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f613,f374])).
% 26.37/4.05 fof(f1422,definition,(
% 26.37/4.05 ![X0]: (sQ59_spl <=> (~app(X0,nil)=sk3|~ssList(X0)|X0=sk3))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1425,plain,(
% 26.37/4.05 sQ59_spl|~sQ14_spl|~sQ15_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1420,f1422,f576,f580])).
% 26.37/4.05 fof(f1427,plain,(
% 26.37/4.05 ![X0]: (~app(X0,sk3)=sk3|~ssList(X0)|~ssList(sk3)|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f565,f374])).
% 26.37/4.05 fof(f1429,definition,(
% 26.37/4.05 ![X0]: (sQ60_spl <=> (~app(X0,sk3)=sk3|~ssList(X0)|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1432,plain,(
% 26.37/4.05 sQ60_spl|~sQ15_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1427,f1429,f580,f576])).
% 26.37/4.05 fof(f1434,plain,(
% 26.37/4.05 ![X0]: (~app(X0,nil)=nil|~ssList(X0)|~ssList(nil)|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f562,f374])).
% 26.37/4.05 fof(f1436,definition,(
% 26.37/4.05 ![X0]: (sQ61_spl <=> (~app(X0,nil)=nil|~ssList(X0)|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1439,plain,(
% 26.37/4.05 sQ61_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1434,f1436,f576])).
% 26.37/4.05 fof(f1459,plain,(
% 26.37/4.05 ~ssList(nil)|nil=nil),
% 26.37/4.05 inference(resolution,[status(thm)],[f282,f1405])).
% 26.37/4.05 fof(f1460,plain,(
% 26.37/4.05 ~sQ14_spl|sQ32_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1459,f576,f1042])).
% 26.37/4.05 fof(f1461,plain,(
% 26.37/4.05 rearsegP(nil,nil)),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f500,f209])).
% 26.37/4.05 fof(f1492,plain,(
% 26.37/4.05 ~cons(sk5,nil)=nil|~sQ7_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f771,f209])).
% 26.37/4.05 fof(f1546,plain,(
% 26.37/4.05 frontsegP(nil,nil)),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f501,f209])).
% 26.37/4.05 fof(f1593,plain,(
% 26.37/4.05 ~ssList(sk2)|nil=sk2|sQ56_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f278,f1342])).
% 26.37/4.05 fof(f1598,plain,(
% 26.37/4.05 ~sQ13_spl|sQ8_spl|sQ56_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1593,f573,f476,f1338])).
% 26.37/4.05 fof(f1600,plain,(
% 26.37/4.05 ~ssList(sk2)|nil=sk2|sQ54_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f277,f1344])).
% 26.37/4.05 fof(f1606,plain,(
% 26.37/4.05 ~sQ13_spl|sQ8_spl|sQ54_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f1600,f573,f476,f1332])).
% 26.37/4.05 fof(f1742,definition,(
% 26.37/4.05 sQ73_spl <=> (nil=cons(sk5,nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f1743,plain,(
% 26.37/4.05 nil=cons(sk5,nil)|~sQ73_spl),
% 26.37/4.05 inference(component_clause,[status(thm)],[f1742])).
% 26.37/4.05 fof(f1762,plain,(
% 26.37/4.05 $false|~sQ7_spl|~sQ73_spl),
% 26.37/4.05 inference(forward_subsumption_resolution,[status(thm)],[f1743,f1492])).
% 26.37/4.05 fof(f1763,plain,(
% 26.37/4.05 ~sQ7_spl|~sQ73_spl),
% 26.37/4.05 inference(contradiction_clause,[status(thm)],[f1762])).
% 26.37/4.05 fof(f1875,plain,(
% 26.37/4.05 tl(cons(sk5,sk6))=sk6|~sQ7_spl|~sQ10_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f708,f485])).
% 26.37/4.05 fof(f2040,plain,(
% 26.37/4.05 hd(cons(sk5,sk6))=sk5|~sQ7_spl|~sQ10_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f728,f485])).
% 26.37/4.05 fof(f2389,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf75(X1))=skaf75(X1)|~ssList(X0)|~ssList(skaf75(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f592,f374])).
% 26.37/4.05 fof(f2391,definition,(
% 26.37/4.05 ![X0,X1]: (sQ93_spl <=> (~app(X0,skaf75(X1))=skaf75(X1)|~ssList(X0)|~ssList(skaf75(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2394,plain,(
% 26.37/4.05 sQ93_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2389,f2391,f576])).
% 26.37/4.05 fof(f2397,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf73(X1))=skaf73(X1)|~ssList(X0)|~ssList(skaf73(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f593,f374])).
% 26.37/4.05 fof(f2399,definition,(
% 26.37/4.05 ![X0,X1]: (sQ94_spl <=> (~app(X0,skaf73(X1))=skaf73(X1)|~ssList(X0)|~ssList(skaf73(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2402,plain,(
% 26.37/4.05 sQ94_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2397,f2399,f576])).
% 26.37/4.05 fof(f2405,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf72(X1))=skaf72(X1)|~ssList(X0)|~ssList(skaf72(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f594,f374])).
% 26.37/4.05 fof(f2407,definition,(
% 26.37/4.05 ![X0,X1]: (sQ95_spl <=> (~app(X0,skaf72(X1))=skaf72(X1)|~ssList(X0)|~ssList(skaf72(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2410,plain,(
% 26.37/4.05 sQ95_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2405,f2407,f576])).
% 26.37/4.05 fof(f2413,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf71(X1))=skaf71(X1)|~ssList(X0)|~ssList(skaf71(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f595,f374])).
% 26.37/4.05 fof(f2415,definition,(
% 26.37/4.05 ![X0,X1]: (sQ96_spl <=> (~app(X0,skaf71(X1))=skaf71(X1)|~ssList(X0)|~ssList(skaf71(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2418,plain,(
% 26.37/4.05 sQ96_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2413,f2415,f576])).
% 26.37/4.05 fof(f2421,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf68(X1))=skaf68(X1)|~ssList(X0)|~ssList(skaf68(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f596,f374])).
% 26.37/4.05 fof(f2423,definition,(
% 26.37/4.05 ![X0,X1]: (sQ97_spl <=> (~app(X0,skaf68(X1))=skaf68(X1)|~ssList(X0)|~ssList(skaf68(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2426,plain,(
% 26.37/4.05 sQ97_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2421,f2423,f576])).
% 26.37/4.05 fof(f2429,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf67(X1))=skaf67(X1)|~ssList(X0)|~ssList(skaf67(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f597,f374])).
% 26.37/4.05 fof(f2431,definition,(
% 26.37/4.05 ![X0,X1]: (sQ98_spl <=> (~app(X0,skaf67(X1))=skaf67(X1)|~ssList(X0)|~ssList(skaf67(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2434,plain,(
% 26.37/4.05 sQ98_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2429,f2431,f576])).
% 26.37/4.05 fof(f2459,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf67(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf67(X1))|X0=skaf67(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f598,f374])).
% 26.37/4.05 fof(f2461,definition,(
% 26.37/4.05 ![X0,X1]: (sQ99_spl <=> (~app(X0,nil)=skaf67(X1)|~ssList(X0)|~ssList(skaf67(X1))|X0=skaf67(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2464,plain,(
% 26.37/4.05 sQ99_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2459,f2461,f576])).
% 26.37/4.05 fof(f2467,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf68(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf68(X1))|X0=skaf68(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f599,f374])).
% 26.37/4.05 fof(f2469,definition,(
% 26.37/4.05 ![X0,X1]: (sQ100_spl <=> (~app(X0,nil)=skaf68(X1)|~ssList(X0)|~ssList(skaf68(X1))|X0=skaf68(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2472,plain,(
% 26.37/4.05 sQ100_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2467,f2469,f576])).
% 26.37/4.05 fof(f2475,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf71(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf71(X1))|X0=skaf71(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f600,f374])).
% 26.37/4.05 fof(f2477,definition,(
% 26.37/4.05 ![X0,X1]: (sQ101_spl <=> (~app(X0,nil)=skaf71(X1)|~ssList(X0)|~ssList(skaf71(X1))|X0=skaf71(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2480,plain,(
% 26.37/4.05 sQ101_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2475,f2477,f576])).
% 26.37/4.05 fof(f2483,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf72(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf72(X1))|X0=skaf72(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f601,f374])).
% 26.37/4.05 fof(f2485,definition,(
% 26.37/4.05 ![X0,X1]: (sQ102_spl <=> (~app(X0,nil)=skaf72(X1)|~ssList(X0)|~ssList(skaf72(X1))|X0=skaf72(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2488,plain,(
% 26.37/4.05 sQ102_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2483,f2485,f576])).
% 26.37/4.05 fof(f2491,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf73(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf73(X1))|X0=skaf73(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f602,f374])).
% 26.37/4.05 fof(f2493,definition,(
% 26.37/4.05 ![X0,X1]: (sQ103_spl <=> (~app(X0,nil)=skaf73(X1)|~ssList(X0)|~ssList(skaf73(X1))|X0=skaf73(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2496,plain,(
% 26.37/4.05 sQ103_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2491,f2493,f576])).
% 26.37/4.05 fof(f2499,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf75(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf75(X1))|X0=skaf75(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f603,f374])).
% 26.37/4.05 fof(f2501,definition,(
% 26.37/4.05 ![X0,X1]: (sQ104_spl <=> (~app(X0,nil)=skaf75(X1)|~ssList(X0)|~ssList(skaf75(X1))|X0=skaf75(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2504,plain,(
% 26.37/4.05 sQ104_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2499,f2501,f576])).
% 26.37/4.05 fof(f2507,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf76(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf76(X1))|X0=skaf76(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f604,f374])).
% 26.37/4.05 fof(f2509,definition,(
% 26.37/4.05 ![X0,X1]: (sQ105_spl <=> (~app(X0,nil)=skaf76(X1)|~ssList(X0)|~ssList(skaf76(X1))|X0=skaf76(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2512,plain,(
% 26.37/4.05 sQ105_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2507,f2509,f576])).
% 26.37/4.05 fof(f2515,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf77(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf77(X1))|X0=skaf77(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f605,f374])).
% 26.37/4.05 fof(f2517,definition,(
% 26.37/4.05 ![X0,X1]: (sQ106_spl <=> (~app(X0,nil)=skaf77(X1)|~ssList(X0)|~ssList(skaf77(X1))|X0=skaf77(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2520,plain,(
% 26.37/4.05 sQ106_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2515,f2517,f576])).
% 26.37/4.05 fof(f2523,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf80(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf80(X1))|X0=skaf80(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f607,f374])).
% 26.37/4.05 fof(f2525,definition,(
% 26.37/4.05 ![X0,X1]: (sQ107_spl <=> (~app(X0,nil)=skaf80(X1)|~ssList(X0)|~ssList(skaf80(X1))|X0=skaf80(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2528,plain,(
% 26.37/4.05 sQ107_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2523,f2525,f576])).
% 26.37/4.05 fof(f2560,plain,(
% 26.37/4.05 app(cons(sk5,nil),sk6)=cons(sk5,sk6)|~sQ7_spl|~sQ10_spl),
% 26.37/4.05 inference(resolution,[status(thm)],[f991,f485])).
% 26.37/4.05 fof(f2564,plain,(
% 26.37/4.05 sk2=cons(sk5,sk6)|~sQ11_spl|~sQ7_spl|~sQ10_spl),
% 26.37/4.05 inference(forward_demodulation,[status(thm)],[f489,f2560])).
% 26.37/4.05 fof(f2585,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf81(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf81(X1))|X0=skaf81(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f608,f374])).
% 26.37/4.05 fof(f2587,definition,(
% 26.37/4.05 ![X0,X1]: (sQ108_spl <=> (~app(X0,nil)=skaf81(X1)|~ssList(X0)|~ssList(skaf81(X1))|X0=skaf81(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2590,plain,(
% 26.37/4.05 sQ108_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2585,f2587,f576])).
% 26.37/4.05 fof(f2593,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf82(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf82(X1))|X0=skaf82(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f611,f374])).
% 26.37/4.05 fof(f2595,definition,(
% 26.37/4.05 ![X0,X1]: (sQ109_spl <=> (~app(X0,nil)=skaf82(X1)|~ssList(X0)|~ssList(skaf82(X1))|X0=skaf82(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2598,plain,(
% 26.37/4.05 sQ109_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2593,f2595,f576])).
% 26.37/4.05 fof(f2601,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,nil)=skaf66(X1)|~ssList(X0)|~ssList(nil)|~ssList(skaf66(X1))|X0=skaf66(X1))),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f680,f374])).
% 26.37/4.05 fof(f2603,definition,(
% 26.37/4.05 ![X0,X1]: (sQ110_spl <=> (~app(X0,nil)=skaf66(X1)|~ssList(X0)|~ssList(skaf66(X1))|X0=skaf66(X1)))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2606,plain,(
% 26.37/4.05 sQ110_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2601,f2603,f576])).
% 26.37/4.05 fof(f2609,plain,(
% 26.37/4.05 ![X0,X1]: (~app(X0,skaf66(X1))=skaf66(X1)|~ssList(X0)|~ssList(skaf66(X1))|~ssList(nil)|X0=nil)),
% 26.37/4.05 inference(paramodulation,[status(thm)],[f681,f374])).
% 26.37/4.05 fof(f2611,definition,(
% 26.37/4.05 ![X0,X1]: (sQ111_spl <=> (~app(X0,skaf66(X1))=skaf66(X1)|~ssList(X0)|~ssList(skaf66(X1))|X0=nil))),
% 26.37/4.05 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 26.37/4.05 fof(f2614,plain,(
% 26.37/4.05 sQ111_spl|~sQ14_spl),
% 26.37/4.05 inference(split_clause,[status(thm)],[f2609,f2611,f576])).
% 26.37/4.06 fof(f2927,definition,(
% 26.37/4.06 ![X0]: (sQ114_spl <=> (~ssItem(X0)|~ssItem(X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f2928,plain,(
% 26.37/4.06 ![X0]: (~ssItem(X0)|~ssItem(X0)|~sQ114_spl)),
% 26.37/4.06 inference(component_clause,[status(thm)],[f2927])).
% 26.37/4.06 fof(f3067,plain,(
% 26.37/4.06 ~neq(nil,sk2)|sQ5_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f436,f468])).
% 26.37/4.06 fof(f3143,plain,(
% 26.37/4.06 ~ssList(sk2)|~ssList(nil)|nil=sk2|sQ5_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f3067,f304])).
% 26.37/4.06 fof(f3151,plain,(
% 26.37/4.06 ~sQ13_spl|~sQ14_spl|sQ8_spl|sQ5_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3143,f573,f576,f476,f466])).
% 26.37/4.06 fof(f3154,plain,(
% 26.37/4.06 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 26.37/4.06 inference(resolution,[status(thm)],[f341,f257])).
% 26.37/4.06 fof(f3156,definition,(
% 26.37/4.06 sQ145_spl <=> (segmentP(nil,nil))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3158,plain,(
% 26.37/4.06 ~segmentP(nil,nil)|sQ145_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f3156])).
% 26.37/4.06 fof(f3160,definition,(
% 26.37/4.06 ![X0]: (sQ146_spl <=> (~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3163,plain,(
% 26.37/4.06 sQ146_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3154,f3160,f576])).
% 26.37/4.06 fof(f3165,plain,(
% 26.37/4.06 $false|sQ145_spl),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f3158,f1405])).
% 26.37/4.06 fof(f3166,plain,(
% 26.37/4.06 sQ145_spl),
% 26.37/4.06 inference(contradiction_clause,[status(thm)],[f3165])).
% 26.37/4.06 fof(f3168,plain,(
% 26.37/4.06 ![X0]: (~rearsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 26.37/4.06 inference(resolution,[status(thm)],[f342,f259])).
% 26.37/4.06 fof(f3170,definition,(
% 26.37/4.06 sQ147_spl <=> (rearsegP(nil,nil))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3172,plain,(
% 26.37/4.06 ~rearsegP(nil,nil)|sQ147_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f3170])).
% 26.37/4.06 fof(f3174,definition,(
% 26.37/4.06 ![X0]: (sQ148_spl <=> (~rearsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3177,plain,(
% 26.37/4.06 sQ148_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3168,f3174,f576])).
% 26.37/4.06 fof(f3179,plain,(
% 26.37/4.06 $false|sQ147_spl),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f3172,f1461])).
% 26.37/4.06 fof(f3180,plain,(
% 26.37/4.06 sQ147_spl),
% 26.37/4.06 inference(contradiction_clause,[status(thm)],[f3179])).
% 26.37/4.06 fof(f3610,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(nil)|app(nil,skaf45(nil,nil))=nil),
% 26.37/4.06 inference(resolution,[status(thm)],[f1546,f346])).
% 26.37/4.06 fof(f3612,definition,(
% 26.37/4.06 sQ167_spl <=> (app(nil,skaf45(nil,nil))=nil)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3615,plain,(
% 26.37/4.06 ~sQ14_spl|sQ167_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3610,f576,f3612])).
% 26.37/4.06 fof(f3616,definition,(
% 26.37/4.06 sQ168_spl <=> (frontsegP(nil,nil))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3618,plain,(
% 26.37/4.06 ~frontsegP(nil,nil)|sQ168_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f3616])).
% 26.37/4.06 fof(f3620,plain,(
% 26.37/4.06 $false|sQ168_spl),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f3618,f1546])).
% 26.37/4.06 fof(f3621,plain,(
% 26.37/4.06 sQ168_spl),
% 26.37/4.06 inference(contradiction_clause,[status(thm)],[f3620])).
% 26.37/4.06 fof(f3622,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(nil)|app(skaf46(nil,nil),nil)=nil),
% 26.37/4.06 inference(resolution,[status(thm)],[f1461,f345])).
% 26.37/4.06 fof(f3624,definition,(
% 26.37/4.06 sQ169_spl <=> (app(skaf46(nil,nil),nil)=nil)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3627,plain,(
% 26.37/4.06 ~sQ14_spl|sQ169_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3622,f576,f3624])).
% 26.37/4.06 fof(f3738,plain,(
% 26.37/4.06 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(X0)|app(skaf46(X0,nil),nil)=X0)),
% 26.37/4.06 inference(resolution,[status(thm)],[f259,f345])).
% 26.37/4.06 fof(f3740,definition,(
% 26.37/4.06 ![X0]: (sQ170_spl <=> (~ssList(X0)|~ssList(X0)|app(skaf46(X0,nil),nil)=X0))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3743,plain,(
% 26.37/4.06 sQ170_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3738,f3740,f576])).
% 26.37/4.06 fof(f3746,plain,(
% 26.37/4.06 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(X0)|app(nil,skaf45(X0,nil))=X0)),
% 26.37/4.06 inference(resolution,[status(thm)],[f261,f346])).
% 26.37/4.06 fof(f3747,plain,(
% 26.37/4.06 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil)),
% 26.37/4.06 inference(resolution,[status(thm)],[f261,f343])).
% 26.37/4.06 fof(f3748,definition,(
% 26.37/4.06 ![X0]: (sQ171_spl <=> (~ssList(X0)|~ssList(X0)|app(nil,skaf45(X0,nil))=X0))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3751,plain,(
% 26.37/4.06 sQ171_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3746,f3748,f576])).
% 26.37/4.06 fof(f3752,definition,(
% 26.37/4.06 ![X0]: (sQ172_spl <=> (~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|X0=nil))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3755,plain,(
% 26.37/4.06 sQ172_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3747,f3752,f576])).
% 26.37/4.06 fof(f3815,plain,(
% 26.37/4.06 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|~ssList(nil)|frontsegP(nil,X0))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f562,f353])).
% 26.37/4.06 fof(f3816,plain,(
% 26.37/4.06 ![X0]: (~rearsegP(nil,X0)|~ssList(nil)|~ssList(X0)|~ssList(nil)|rearsegP(nil,X0))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f562,f352])).
% 26.37/4.06 fof(f3819,definition,(
% 26.37/4.06 ![X0]: (sQ180_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(nil,X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3822,plain,(
% 26.37/4.06 sQ180_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3815,f3819,f576])).
% 26.37/4.06 fof(f3823,definition,(
% 26.37/4.06 ![X0]: (sQ181_spl <=> (~rearsegP(nil,X0)|~ssList(X0)|rearsegP(nil,X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3826,plain,(
% 26.37/4.06 sQ181_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3816,f3823,f576])).
% 26.37/4.06 fof(f3829,plain,(
% 26.37/4.06 ![X0]: (~frontsegP(nil,X0)|~ssList(sk3)|~ssList(X0)|~ssList(nil)|frontsegP(sk3,X0))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f565,f353])).
% 26.37/4.06 fof(f3830,plain,(
% 26.37/4.06 ![X0]: (~rearsegP(sk3,X0)|~ssList(nil)|~ssList(X0)|~ssList(sk3)|rearsegP(sk3,X0))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f565,f352])).
% 26.37/4.06 fof(f3833,definition,(
% 26.37/4.06 ![X0]: (sQ182_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(sk3,X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3836,plain,(
% 26.37/4.06 sQ182_spl|~sQ15_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3829,f3833,f580,f576])).
% 26.37/4.06 fof(f3837,definition,(
% 26.37/4.06 ![X0]: (sQ183_spl <=> (~rearsegP(sk3,X0)|~ssList(X0)|rearsegP(sk3,X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3840,plain,(
% 26.37/4.06 sQ183_spl|~sQ14_spl|~sQ15_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3830,f3837,f576,f580])).
% 26.37/4.06 fof(f3843,plain,(
% 26.37/4.06 ![X0]: (~frontsegP(sk3,X0)|~ssList(nil)|~ssList(X0)|~ssList(sk3)|frontsegP(sk3,X0))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f613,f353])).
% 26.37/4.06 fof(f3844,plain,(
% 26.37/4.06 ![X0]: (~rearsegP(nil,X0)|~ssList(sk3)|~ssList(X0)|~ssList(nil)|rearsegP(sk3,X0))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f613,f352])).
% 26.37/4.06 fof(f3847,definition,(
% 26.37/4.06 ![X0]: (sQ184_spl <=> (~frontsegP(sk3,X0)|~ssList(X0)|frontsegP(sk3,X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3850,plain,(
% 26.37/4.06 sQ184_spl|~sQ14_spl|~sQ15_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3843,f3847,f576,f580])).
% 26.37/4.06 fof(f3851,definition,(
% 26.37/4.06 ![X0]: (sQ185_spl <=> (~rearsegP(nil,X0)|~ssList(X0)|rearsegP(sk3,X0)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f3854,plain,(
% 26.37/4.06 sQ185_spl|~sQ15_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f3844,f3851,f580,f576])).
% 26.37/4.06 fof(f4214,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|~ssList(X1)|rearsegP(app(X0,X1),X1))),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f513,f287])).
% 26.37/4.06 fof(f4218,plain,(
% 26.37/4.06 ~ssList(sk3)|~ssList(nil)|rearsegP(sk3,nil)),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f613,f4214])).
% 26.37/4.06 fof(f4221,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(sk3)|rearsegP(sk3,sk3)),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f565,f4214])).
% 26.37/4.06 fof(f4233,definition,(
% 26.37/4.06 sQ216_spl <=> (rearsegP(sk3,nil))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4234,plain,(
% 26.37/4.06 rearsegP(sk3,nil)|~sQ216_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f4233])).
% 26.37/4.06 fof(f4236,plain,(
% 26.37/4.06 ~sQ15_spl|~sQ14_spl|sQ216_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4218,f580,f576,f4233])).
% 26.37/4.06 fof(f4245,definition,(
% 26.37/4.06 sQ219_spl <=> (rearsegP(sk3,sk3))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4246,plain,(
% 26.37/4.06 rearsegP(sk3,sk3)|~sQ219_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f4245])).
% 26.37/4.06 fof(f4248,plain,(
% 26.37/4.06 ~sQ14_spl|~sQ15_spl|sQ219_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4221,f576,f580,f4245])).
% 26.37/4.06 fof(f4258,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f514,f287])).
% 26.37/4.06 fof(f4262,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(sk3)|frontsegP(sk3,sk3)),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f613,f4258])).
% 26.37/4.06 fof(f4265,plain,(
% 26.37/4.06 ~ssList(sk3)|~ssList(nil)|frontsegP(sk3,nil)),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f565,f4258])).
% 26.37/4.06 fof(f4277,definition,(
% 26.37/4.06 sQ223_spl <=> (frontsegP(sk3,sk3))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4278,plain,(
% 26.37/4.06 frontsegP(sk3,sk3)|~sQ223_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f4277])).
% 26.37/4.06 fof(f4280,plain,(
% 26.37/4.06 ~sQ14_spl|~sQ15_spl|sQ223_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4262,f576,f580,f4277])).
% 26.37/4.06 fof(f4289,definition,(
% 26.37/4.06 sQ226_spl <=> (frontsegP(sk3,nil))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4290,plain,(
% 26.37/4.06 frontsegP(sk3,nil)|~sQ226_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f4289])).
% 26.37/4.06 fof(f4292,plain,(
% 26.37/4.06 ~sQ15_spl|~sQ14_spl|sQ226_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4265,f580,f576,f4289])).
% 26.37/4.06 fof(f4335,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(sk3)|app(skaf46(sk3,nil),nil)=sk3|~sQ216_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f4234,f345])).
% 26.37/4.06 fof(f4337,definition,(
% 26.37/4.06 sQ229_spl <=> (app(skaf46(sk3,nil),nil)=sk3)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4340,plain,(
% 26.37/4.06 ~sQ14_spl|~sQ15_spl|sQ229_spl|~sQ216_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4335,f576,f580,f4337,f4233])).
% 26.37/4.06 fof(f4345,plain,(
% 26.37/4.06 ~ssList(sk3)|~ssList(sk3)|app(skaf46(sk3,sk3),sk3)=sk3|~sQ219_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f4246,f345])).
% 26.37/4.06 fof(f4346,plain,(
% 26.37/4.06 ~rearsegP(sk3,sk3)|~ssList(sk3)|~ssList(sk3)|sk3=sk3|~sQ219_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f4246,f342])).
% 26.37/4.06 fof(f4347,definition,(
% 26.37/4.06 sQ231_spl <=> (app(skaf46(sk3,sk3),sk3)=sk3)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4350,plain,(
% 26.37/4.06 ~sQ15_spl|sQ231_spl|~sQ219_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4345,f580,f4347,f4245])).
% 26.37/4.06 fof(f4351,plain,(
% 26.37/4.06 ~sQ219_spl|~sQ15_spl|sQ22_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4346,f4245,f580,f785])).
% 26.37/4.06 fof(f4608,plain,(
% 26.37/4.06 ~ssList(sk3)|~ssList(sk3)|app(sk3,skaf45(sk3,sk3))=sk3|~sQ223_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f4278,f346])).
% 26.37/4.06 fof(f4610,definition,(
% 26.37/4.06 sQ242_spl <=> (app(sk3,skaf45(sk3,sk3))=sk3)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4613,plain,(
% 26.37/4.06 ~sQ15_spl|sQ242_spl|~sQ223_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4608,f580,f4610,f4277])).
% 26.37/4.06 fof(f4636,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(sk3)|app(nil,skaf45(sk3,nil))=sk3|~sQ226_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f4290,f346])).
% 26.37/4.06 fof(f4638,definition,(
% 26.37/4.06 sQ243_spl <=> (app(nil,skaf45(sk3,nil))=sk3)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4641,plain,(
% 26.37/4.06 ~sQ14_spl|~sQ15_spl|sQ243_spl|~sQ226_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4636,f576,f580,f4638,f4289])).
% 26.37/4.06 fof(f4837,plain,(
% 26.37/4.06 ![X0]: (~segmentP(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|segmentP(X0,nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f1405,f376])).
% 26.37/4.06 fof(f4839,definition,(
% 26.37/4.06 ![X0]: (sQ259_spl <=> (~segmentP(X0,nil)|~ssList(X0)|segmentP(X0,nil)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f4842,plain,(
% 26.37/4.06 sQ259_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f4837,f4839,f576])).
% 26.37/4.06 fof(f5439,definition,(
% 26.37/4.06 sQ298_spl <=> (sk3=sk2)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f5440,plain,(
% 26.37/4.06 sk3=sk2|~sQ298_spl),
% 26.37/4.06 inference(component_clause,[status(thm)],[f5439])).
% 26.37/4.06 fof(f6016,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(nil)|segmentP(app(app(X1,nil),X0),nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f1405,f406])).
% 26.37/4.06 fof(f6017,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(nil)|app(app(skaf47(nil,nil),nil),skaf48(nil,nil))=nil),
% 26.37/4.06 inference(resolution,[status(thm)],[f1405,f400])).
% 26.37/4.06 fof(f6020,definition,(
% 26.37/4.06 ![X0,X1]: (sQ317_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,nil),X0),nil)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f6023,plain,(
% 26.37/4.06 sQ317_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f6016,f6020,f576])).
% 26.37/4.06 fof(f6024,definition,(
% 26.37/4.06 sQ318_spl <=> (app(app(skaf47(nil,nil),nil),skaf48(nil,nil))=nil)),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f6027,plain,(
% 26.37/4.06 ~sQ14_spl|sQ318_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f6017,f576,f6024])).
% 26.37/4.06 fof(f6160,plain,(
% 26.37/4.06 ~sk2=nil|~ssList(sk6)|~ssList(cons(sk5,nil))|nil=cons(sk5,nil)|~sQ11_spl),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f489,f329])).
% 26.37/4.06 fof(f6169,plain,(
% 26.37/4.06 ~sQ8_spl|~sQ10_spl|~sQ16_spl|sQ73_spl|~sQ11_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f6160,f476,f484,f586,f1742,f488])).
% 26.37/4.06 fof(f6300,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|nil=X0|~frontsegP(nil,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|~ssList(nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f286,f380])).
% 26.37/4.06 fof(f6303,definition,(
% 26.37/4.06 ![X0,X1]: (sQ322_spl <=> (~ssList(X0)|nil=X0|~frontsegP(nil,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f6306,plain,(
% 26.37/4.06 sQ322_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f6300,f6303,f576])).
% 26.37/4.06 fof(f6383,plain,(
% 26.37/4.06 ![X0]: (~ssList(X0)|~ssList(sk3)|~ssList(nil)|~ssList(app(sk3,X0))|segmentP(app(app(sk3,nil),X0),nil))),
% 26.37/4.06 inference(paramodulation,[status(thm)],[f613,f517])).
% 26.37/4.06 fof(f6392,definition,(
% 26.37/4.06 ![X0]: (sQ333_spl <=> (~ssList(X0)|~ssList(app(sk3,X0))|segmentP(app(app(sk3,nil),X0),nil)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f6395,plain,(
% 26.37/4.06 sQ333_spl|~sQ15_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f6383,f6392,f580,f576])).
% 26.37/4.06 fof(f12229,plain,(
% 26.37/4.06 ![X0]: (~ssItem(X0)|~sQ114_spl)),
% 26.37/4.06 inference(duplicate_literals_removal,[status(thm)],[f2928])).
% 26.37/4.06 fof(f12234,plain,(
% 26.37/4.06 $false|~sQ114_spl),
% 26.37/4.06 inference(backward_subsumption_resolution,[status(thm)],[f213,f12229])).
% 26.37/4.06 fof(f12255,plain,(
% 26.37/4.06 ~sQ114_spl),
% 26.37/4.06 inference(contradiction_clause,[status(thm)],[f12234])).
% 26.37/4.06 fof(f12907,plain,(
% 26.37/4.06 tl(sk2)=sk6|~sQ11_spl|~sQ7_spl|~sQ10_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f2564,f1875])).
% 26.37/4.06 fof(f13055,plain,(
% 26.37/4.06 hd(sk2)=sk5|~sQ11_spl|~sQ7_spl|~sQ10_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f2564,f2040])).
% 26.37/4.06 fof(f13072,plain,(
% 26.37/4.06 ~neq(sk2,sk3)|~sQ2_spl|sQ6_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f457,f558])).
% 26.37/4.06 fof(f13078,plain,(
% 26.37/4.06 ~ssList(sk3)|~ssList(sk2)|sk2=sk3|~sQ2_spl|sQ6_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f13072,f304])).
% 26.37/4.06 fof(f13080,plain,(
% 26.37/4.06 ~sQ15_spl|~sQ13_spl|sQ298_spl|~sQ2_spl|sQ6_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f13078,f580,f573,f5439,f456,f469])).
% 26.37/4.06 fof(f13093,plain,(
% 26.37/4.06 ~sQ2_spl|sQ9_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f530,f456,f480])).
% 26.37/4.06 fof(f13100,plain,(
% 26.37/4.06 sk3=app(sk6,cons(hd(sk2),nil))|~sQ11_spl|~sQ7_spl|~sQ10_spl|~sQ53_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f12907,f1330])).
% 26.37/4.06 fof(f13101,plain,(
% 26.37/4.06 sk3=app(sk6,cons(sk5,nil))|~sQ11_spl|~sQ7_spl|~sQ10_spl|~sQ53_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f13055,f13100])).
% 26.37/4.06 fof(f13105,plain,(
% 26.37/4.06 $false|~sQ2_spl|sQ8_spl|~sQ298_spl),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f5440,f805])).
% 26.37/4.06 fof(f13106,plain,(
% 26.37/4.06 ~sQ2_spl|sQ8_spl|~sQ298_spl),
% 26.37/4.06 inference(contradiction_clause,[status(thm)],[f13105])).
% 26.37/4.06 fof(f13787,plain,(
% 26.37/4.06 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(nil)|~ssList(X0)|segmentP(app(app(X2,X0),X1),nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f257,f406])).
% 26.37/4.06 fof(f13788,plain,(
% 26.37/4.06 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(X0)|app(app(skaf47(X0,nil),nil),skaf48(nil,X0))=X0)),
% 26.37/4.06 inference(resolution,[status(thm)],[f257,f400])).
% 26.37/4.06 fof(f13789,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|~segmentP(X1,X0)|~ssList(nil)|~ssList(X0)|~ssList(X1)|segmentP(X1,nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f257,f376])).
% 26.37/4.06 fof(f13791,definition,(
% 26.37/4.06 ![X0,X1,X2]: (sQ765_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X0)|segmentP(app(app(X2,X0),X1),nil)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ765_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f13794,plain,(
% 26.37/4.06 sQ765_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f13787,f13791,f576])).
% 26.37/4.06 fof(f13795,definition,(
% 26.37/4.06 ![X0]: (sQ766_spl <=> (~ssList(X0)|~ssList(X0)|app(app(skaf47(X0,nil),nil),skaf48(nil,X0))=X0))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ766_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f13798,plain,(
% 26.37/4.06 sQ766_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f13788,f13795,f576])).
% 26.37/4.06 fof(f13799,definition,(
% 26.37/4.06 ![X0,X1]: (sQ767_spl <=> (~ssList(X0)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|segmentP(X1,nil)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ767_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f13802,plain,(
% 26.37/4.06 sQ767_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f13789,f13799,f576])).
% 26.37/4.06 fof(f14152,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|nil=X0|~segmentP(nil,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|~ssList(nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f282,f376])).
% 26.37/4.06 fof(f14156,definition,(
% 26.37/4.06 ![X0,X1]: (sQ774_spl <=> (~ssList(X0)|nil=X0|~segmentP(nil,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ774_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f14159,plain,(
% 26.37/4.06 sQ774_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f14152,f14156,f576])).
% 26.37/4.06 fof(f14164,plain,(
% 26.37/4.06 ![X0,X1]: (~ssList(X0)|nil=X0|~rearsegP(nil,X1)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)|~ssList(nil))),
% 26.37/4.06 inference(resolution,[status(thm)],[f284,f378])).
% 26.37/4.06 fof(f14168,definition,(
% 26.37/4.06 ![X0,X1]: (sQ775_spl <=> (~ssList(X0)|nil=X0|~rearsegP(nil,X1)|~rearsegP(X1,X0)|~ssList(X0)|~ssList(X1)))),
% 26.37/4.06 introduced(definition,[new_symbols(definition,[sQ775_spl])],[split_symbol_definition])).
% 26.37/4.06 fof(f14171,plain,(
% 26.37/4.06 sQ775_spl|~sQ14_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f14164,f14168,f576])).
% 26.37/4.06 fof(f14373,plain,(
% 26.37/4.06 ~ssList(nil)|~ssList(sk2)|sk2=nil|sQ6_spl),
% 26.37/4.06 inference(resolution,[status(thm)],[f304,f558])).
% 26.37/4.06 fof(f14374,plain,(
% 26.37/4.06 ~sQ14_spl|~sQ13_spl|sQ8_spl|sQ6_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f14373,f576,f573,f476,f469])).
% 26.37/4.06 fof(f14375,plain,(
% 26.37/4.06 $false|sQ12_spl|~sQ11_spl|~sQ7_spl|~sQ10_spl|~sQ53_spl),
% 26.37/4.06 inference(forward_subsumption_resolution,[status(thm)],[f13101,f557])).
% 26.37/4.06 fof(f14376,plain,(
% 26.37/4.06 sQ12_spl|~sQ11_spl|~sQ7_spl|~sQ10_spl|~sQ53_spl),
% 26.37/4.06 inference(contradiction_clause,[status(thm)],[f14375])).
% 26.37/4.06 fof(f14377,plain,(
% 26.37/4.06 ~ssList(cons(sk5,nil))|~sQ11_spl|~sQ7_spl|~sQ10_spl|sQ55_spl),
% 26.37/4.06 inference(forward_demodulation,[status(thm)],[f13055,f1343])).
% 26.37/4.06 fof(f15196,plain,(
% 26.37/4.06 ~sQ16_spl|~sQ11_spl|~sQ7_spl|~sQ10_spl|sQ55_spl),
% 26.37/4.06 inference(split_clause,[status(thm)],[f14377,f586,f488,f473,f484,f1335])).
% 26.37/4.06 fof(f15198,plain,(
% 26.37/4.06 $false),
% 26.37/4.06 inference(sat_refutation,[status(thm)],[f462,f472,f479,f483,f487,f491,f495,f496,f497,f589,f625,f627,f632,f637,f642,f647,f651,f653,f790,f1324,f1328,f1341,f1376,f1425,f1432,f1439,f1460,f1598,f1606,f1763,f2394,f2402,f2410,f2418,f2426,f2434,f2464,f2472,f2480,f2488,f2496,f2504,f2512,f2520,f2528,f2590,f2598,f2606,f2614,f3151,f3163,f3166,f3177,f3180,f3615,f3621,f3627,f3743,f3751,f3755,f3822,f3826,f3836,f3840,f3850,f3854,f4236,f4248,f4280,f4292,f4340,f4350,f4351,f4613,f4641,f4842,f6023,f6027,f6169,f6306,f6395,f12255,f13080,f13093,f13106,f13794,f13798,f13802,f14159,f14171,f14374,f14376,f15196])).
% 26.37/4.08 % SZS output end CNFRefutation for theBenchmark.p
% 26.37/4.11 % Elapsed time: 3.666806 seconds
% 26.37/4.11 % CPU time: 28.341812 seconds
% 26.37/4.11 % Total memory used: 300.238 MB
% 26.37/4.11 % Net memory used: 289.240 MB
%------------------------------------------------------------------------------