%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:41:32 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:49:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.54 % Refutation found
% 0.15/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.54 fof(f8,axiom,(
% 0.15/0.54 ssList(nil) ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f50,axiom,(
% 0.15/0.54 (![U,V]: (ssList(skaf46(U,V)) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f51,axiom,(
% 0.15/0.54 (![U,V]: (ssList(skaf45(U,V)) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f56,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f57,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f59,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f60,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f61,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f73,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f74,axiom,(
% 0.15/0.54 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f80,axiom,(
% 0.15/0.54 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f84,axiom,(
% 0.15/0.54 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f85,axiom,(
% 0.15/0.54 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f100,axiom,(
% 0.15/0.54 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f127,axiom,(
% 0.15/0.54 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f129,axiom,(
% 0.15/0.54 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f131,axiom,(
% 0.15/0.54 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f132,axiom,(
% 0.15/0.54 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f137,axiom,(
% 0.15/0.54 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f144,axiom,(
% 0.15/0.54 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f152,axiom,(
% 0.15/0.54 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f154,axiom,(
% 0.15/0.54 (![U,V,W]: (( ~ frontsegP(U,V)| ~ frontsegP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(U,W) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f172,axiom,(
% 0.15/0.54 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f173,axiom,(
% 0.15/0.54 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f176,axiom,(
% 0.15/0.54 (![U,V,W,X]: (( ~ frontsegP(cons(U,V),cons(W,X))| ~ ssList(X)| ~ ssList(V)| ~ ssItem(W)| ~ ssItem(U)| U = W ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f178,axiom,(
% 0.15/0.54 (![U,V,W,X]: (( ~ frontsegP(U,V)| W != X| ~ ssList(V)| ~ ssList(U)| ~ ssItem(X)| ~ ssItem(W)| frontsegP(cons(W,U),cons(X,V)) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f186,negated_conjecture,(
% 0.15/0.54 ssList(sk1) ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f187,negated_conjecture,(
% 0.15/0.54 ssList(sk2) ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f190,negated_conjecture,(
% 0.15/0.54 sk2 = sk4 ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f191,negated_conjecture,(
% 0.15/0.54 sk1 = sk3 ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f192,negated_conjecture,(
% 0.15/0.54 neq(sk2,nil) ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f193,negated_conjecture,(
% 0.15/0.54 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f194,negated_conjecture,(
% 0.15/0.54 ( nil = sk4| neq(sk3,nil) ) ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f196,negated_conjecture,(
% 0.15/0.54 ( nil = sk3| neq(sk3,nil) ) ),
% 0.15/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f197,negated_conjecture,(
% 0.15/0.55 ( nil = sk3| frontsegP(sk4,sk3) ) ),
% 0.15/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.55 fof(f205,plain,(
% 0.15/0.55 ssList(nil)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.55 fof(f247,plain,(
% 0.15/0.55 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f50])).
% 0.15/0.55 fof(f248,plain,(
% 0.15/0.55 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f51])).
% 0.15/0.55 fof(f253,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f56])).
% 0.15/0.55 fof(f254,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f57])).
% 0.15/0.55 fof(f256,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f59])).
% 0.15/0.55 fof(f257,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f60])).
% 0.15/0.55 fof(f258,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f61])).
% 0.15/0.55 fof(f271,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f73])).
% 0.15/0.55 fof(f272,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f74])).
% 0.15/0.55 fof(f278,plain,(
% 0.15/0.55 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f80])).
% 0.15/0.55 fof(f282,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f84])).
% 0.15/0.55 fof(f283,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f85])).
% 0.15/0.55 fof(f300,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f100])).
% 0.15/0.55 fof(f337,plain,(
% 0.15/0.55 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f127])).
% 0.15/0.55 fof(f339,plain,(
% 0.15/0.55 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f129])).
% 0.15/0.55 fof(f341,plain,(
% 0.15/0.55 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f131])).
% 0.15/0.55 fof(f342,plain,(
% 0.15/0.55 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f132])).
% 0.15/0.55 fof(f349,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f137])).
% 0.15/0.55 fof(f357,plain,(
% 0.15/0.55 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.15/0.55 inference(miniscoping,[status(thm)],[f144])).
% 0.15/0.55 fof(f358,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f357])).
% 0.15/0.55 fof(f371,plain,(
% 0.15/0.55 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.15/0.55 inference(miniscoping,[status(thm)],[f152])).
% 0.15/0.55 fof(f372,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/0.55 fof(f375,plain,(
% 0.15/0.55 ![U,W]: (((![V]: (((~frontsegP(U,V)|~frontsegP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|frontsegP(U,W))),
% 0.15/0.55 inference(miniscoping,[status(thm)],[f154])).
% 0.15/0.55 fof(f376,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~frontsegP(X0,X1)|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(X0,X2))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f375])).
% 0.15/0.55 fof(f402,plain,(
% 0.15/0.55 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f172])).
% 0.15/0.55 fof(f403,plain,(
% 0.15/0.55 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.15/0.55 inference(miniscoping,[status(thm)],[f173])).
% 0.15/0.55 fof(f404,plain,(
% 0.15/0.55 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f403])).
% 0.15/0.55 fof(f409,plain,(
% 0.15/0.55 ![U,W]: ((((![V]: ((![X]: (~frontsegP(cons(U,V),cons(W,X))|~ssList(X)))|~ssList(V)))|~ssItem(W))|~ssItem(U))|U=W)),
% 0.15/0.55 inference(miniscoping,[status(thm)],[f176])).
% 0.15/0.55 fof(f410,plain,(
% 0.15/0.55 ![X0,X1,X2,X3]: (~frontsegP(cons(X0,X1),cons(X2,X3))|~ssList(X3)|~ssList(X1)|~ssItem(X2)|~ssItem(X0)|X0=X2)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f409])).
% 0.15/0.55 fof(f413,plain,(
% 0.15/0.55 ![X0,X1,X2,X3]: (~frontsegP(X0,X1)|~X2=X3|~ssList(X1)|~ssList(X0)|~ssItem(X3)|~ssItem(X2)|frontsegP(cons(X2,X0),cons(X3,X1)))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f178])).
% 0.15/0.55 fof(f428,plain,(
% 0.15/0.55 ssList(sk1)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f186])).
% 0.15/0.55 fof(f429,plain,(
% 0.15/0.55 ssList(sk2)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f187])).
% 0.15/0.55 fof(f432,plain,(
% 0.15/0.55 sk2=sk4),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/0.55 fof(f433,plain,(
% 0.15/0.55 sk1=sk3),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/0.55 fof(f434,plain,(
% 0.15/0.55 neq(sk2,nil)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/0.55 fof(f435,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/0.55 fof(f436,plain,(
% 0.15/0.55 nil=sk4|neq(sk3,nil)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/0.55 fof(f438,plain,(
% 0.15/0.55 nil=sk3|neq(sk3,nil)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f196])).
% 0.15/0.55 fof(f439,plain,(
% 0.15/0.55 nil=sk3|frontsegP(sk4,sk3)),
% 0.15/0.55 inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/0.55 fof(f447,definition,(
% 0.15/0.55 sQ2_spl <=> (nil=sk4)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f448,plain,(
% 0.15/0.55 nil=sk4|~sQ2_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f447])).
% 0.15/0.55 fof(f450,definition,(
% 0.15/0.55 sQ3_spl <=> (neq(sk3,nil))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f451,plain,(
% 0.15/0.55 neq(sk3,nil)|~sQ3_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f450])).
% 0.15/0.55 fof(f452,plain,(
% 0.15/0.55 ~neq(sk3,nil)|sQ3_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f450])).
% 0.15/0.55 fof(f453,plain,(
% 0.15/0.55 sQ2_spl|sQ3_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f436,f447,f450])).
% 0.15/0.55 fof(f454,definition,(
% 0.15/0.55 sQ4_spl <=> (frontsegP(sk4,sk3))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f455,plain,(
% 0.15/0.55 frontsegP(sk4,sk3)|~sQ4_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f454])).
% 0.15/0.55 fof(f458,definition,(
% 0.15/0.55 sQ5_spl <=> (nil=sk3)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f459,plain,(
% 0.15/0.55 nil=sk3|~sQ5_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f458])).
% 0.15/0.55 fof(f461,plain,(
% 0.15/0.55 sQ5_spl|sQ3_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f438,f458,f450])).
% 0.15/0.55 fof(f462,plain,(
% 0.15/0.55 sQ5_spl|sQ4_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f439,f458,f454])).
% 0.15/0.55 fof(f478,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.15/0.55 inference(destructive_equality_resolution,[status(thm)],[f358])).
% 0.15/0.55 fof(f481,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.15/0.55 inference(destructive_equality_resolution,[status(thm)],[f404])).
% 0.15/0.55 fof(f483,plain,(
% 0.15/0.55 ![X0,X1,X3]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssItem(X3)|~ssItem(X3)|frontsegP(cons(X3,X0),cons(X3,X1)))),
% 0.15/0.55 inference(destructive_equality_resolution,[status(thm)],[f413])).
% 0.15/0.55 fof(f484,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|frontsegP(cons(X2,X0),cons(X2,X1)))),
% 0.15/0.55 inference(duplicate_literals_removal,[status(thm)],[f483])).
% 0.15/0.55 fof(f494,plain,(
% 0.15/0.55 ~ssList(sk2)|~segmentP(sk2,sk2)|~segmentP(sk1,sk2)),
% 0.15/0.55 inference(resolution,[status(thm)],[f435,f434])).
% 0.15/0.55 fof(f495,definition,(
% 0.15/0.55 sQ6_spl <=> (ssList(sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f497,plain,(
% 0.15/0.55 ~ssList(sk2)|sQ6_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f495])).
% 0.15/0.55 fof(f498,definition,(
% 0.15/0.55 sQ7_spl <=> (segmentP(sk2,sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f499,plain,(
% 0.15/0.55 segmentP(sk2,sk2)|~sQ7_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f498])).
% 0.15/0.55 fof(f500,plain,(
% 0.15/0.55 ~segmentP(sk2,sk2)|sQ7_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f498])).
% 0.15/0.55 fof(f501,definition,(
% 0.15/0.55 sQ8_spl <=> (segmentP(sk1,sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f503,plain,(
% 0.15/0.55 ~segmentP(sk1,sk2)|sQ8_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f501])).
% 0.15/0.55 fof(f504,plain,(
% 0.15/0.55 ~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f494,f495,f498,f501])).
% 0.15/0.55 fof(f505,plain,(
% 0.15/0.55 frontsegP(sk2,sk3)|~sQ4_spl),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f432,f455])).
% 0.15/0.55 fof(f506,plain,(
% 0.15/0.55 frontsegP(sk2,sk1)|~sQ4_spl),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f433,f505])).
% 0.15/0.55 fof(f507,plain,(
% 0.15/0.55 neq(sk1,nil)|~sQ3_spl),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f433,f451])).
% 0.15/0.55 fof(f508,plain,(
% 0.15/0.55 ~ssList(sk1)|~segmentP(sk2,sk1)|~segmentP(sk1,sk1)|~sQ3_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f507,f435])).
% 0.15/0.55 fof(f509,definition,(
% 0.15/0.55 sQ9_spl <=> (ssList(sk1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f511,plain,(
% 0.15/0.55 ~ssList(sk1)|sQ9_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f509])).
% 0.15/0.55 fof(f512,definition,(
% 0.15/0.55 sQ10_spl <=> (segmentP(sk2,sk1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f514,plain,(
% 0.15/0.55 ~segmentP(sk2,sk1)|sQ10_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f512])).
% 0.15/0.55 fof(f515,definition,(
% 0.15/0.55 sQ11_spl <=> (segmentP(sk1,sk1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f516,plain,(
% 0.15/0.55 segmentP(sk1,sk1)|~sQ11_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f515])).
% 0.15/0.55 fof(f517,plain,(
% 0.15/0.55 ~segmentP(sk1,sk1)|sQ11_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f515])).
% 0.15/0.55 fof(f518,plain,(
% 0.15/0.55 ~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ3_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f508,f509,f512,f515,f450])).
% 0.15/0.55 fof(f519,plain,(
% 0.15/0.55 $false|sQ9_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f511,f428])).
% 0.15/0.55 fof(f520,plain,(
% 0.15/0.55 sQ9_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f519])).
% 0.15/0.55 fof(f521,plain,(
% 0.15/0.55 ~ssList(sk1)|sQ11_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f517,f254])).
% 0.15/0.55 fof(f522,plain,(
% 0.15/0.55 ~sQ9_spl|sQ11_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f521,f509,f515])).
% 0.15/0.55 fof(f532,plain,(
% 0.15/0.55 sk1=nil|~sQ5_spl),
% 0.15/0.55 inference(backward_demodulation,[status(thm)],[f459,f433])).
% 0.15/0.55 fof(f533,plain,(
% 0.15/0.55 sk2=nil|~sQ2_spl),
% 0.15/0.55 inference(backward_demodulation,[status(thm)],[f448,f432])).
% 0.15/0.55 fof(f535,plain,(
% 0.15/0.55 ~segmentP(sk2,nil)|~sQ5_spl|sQ10_spl),
% 0.15/0.55 inference(backward_demodulation,[status(thm)],[f532,f514])).
% 0.15/0.55 fof(f541,plain,(
% 0.15/0.55 ~ssList(sk2)|~sQ5_spl|sQ10_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f535,f253])).
% 0.15/0.55 fof(f542,plain,(
% 0.15/0.55 $false|~sQ5_spl|sQ10_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f541,f429])).
% 0.15/0.55 fof(f543,plain,(
% 0.15/0.55 ~sQ5_spl|sQ10_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f542])).
% 0.15/0.55 fof(f544,plain,(
% 0.15/0.55 ~neq(nil,nil)|~sQ5_spl|sQ3_spl),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f459,f452])).
% 0.15/0.55 fof(f547,plain,(
% 0.15/0.55 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.55 inference(resolution,[status(thm)],[f278,f253])).
% 0.15/0.55 fof(f549,definition,(
% 0.15/0.55 sQ12_spl <=> (ssList(nil))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f551,plain,(
% 0.15/0.55 ~ssList(nil)|sQ12_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f549])).
% 0.15/0.55 fof(f552,definition,(
% 0.15/0.55 sQ13_spl <=> (nil=nil)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f556,plain,(
% 0.15/0.55 ~sQ12_spl|sQ13_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f547,f549,f552])).
% 0.15/0.55 fof(f558,plain,(
% 0.15/0.55 $false|sQ12_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f551,f205])).
% 0.15/0.55 fof(f559,plain,(
% 0.15/0.55 sQ12_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f558])).
% 0.15/0.55 fof(f573,plain,(
% 0.15/0.55 neq(nil,nil)|~sQ2_spl),
% 0.15/0.55 inference(backward_demodulation,[status(thm)],[f533,f434])).
% 0.15/0.55 fof(f577,plain,(
% 0.15/0.55 $false|~sQ5_spl|sQ3_spl|~sQ2_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f573,f544])).
% 0.15/0.55 fof(f578,plain,(
% 0.15/0.55 ~sQ5_spl|sQ3_spl|~sQ2_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f577])).
% 0.15/0.55 fof(f587,plain,(
% 0.15/0.55 app(sk2,nil)=sk2),
% 0.15/0.55 inference(resolution,[status(thm)],[f271,f429])).
% 0.15/0.55 fof(f588,plain,(
% 0.15/0.55 app(sk1,nil)=sk1),
% 0.15/0.55 inference(resolution,[status(thm)],[f271,f428])).
% 0.15/0.55 fof(f595,plain,(
% 0.15/0.55 app(nil,nil)=nil),
% 0.15/0.55 inference(resolution,[status(thm)],[f271,f205])).
% 0.15/0.55 fof(f603,plain,(
% 0.15/0.55 $false|sQ6_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f497,f429])).
% 0.15/0.55 fof(f604,plain,(
% 0.15/0.55 sQ6_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f603])).
% 0.15/0.55 fof(f605,plain,(
% 0.15/0.55 ~ssList(sk2)|sQ7_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f500,f254])).
% 0.15/0.55 fof(f606,plain,(
% 0.15/0.55 ~sQ6_spl|sQ7_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f605,f495,f498])).
% 0.15/0.55 fof(f611,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|~ssList(nil)|frontsegP(nil,X0))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f595,f349])).
% 0.15/0.55 fof(f612,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(sk1,X0)|~ssList(nil)|~ssList(X0)|~ssList(sk1)|frontsegP(sk1,X0))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f588,f349])).
% 0.15/0.55 fof(f613,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(sk2,X0)|~ssList(nil)|~ssList(X0)|~ssList(sk2)|frontsegP(sk2,X0))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f587,f349])).
% 0.15/0.55 fof(f614,definition,(
% 0.15/0.55 ![X0]: (sQ14_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(nil,X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f617,plain,(
% 0.15/0.55 sQ14_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f611,f614,f549])).
% 0.15/0.55 fof(f618,definition,(
% 0.15/0.55 ![X0]: (sQ15_spl <=> (~frontsegP(sk1,X0)|~ssList(X0)|frontsegP(sk1,X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f621,plain,(
% 0.15/0.55 sQ15_spl|~sQ12_spl|~sQ9_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f612,f618,f549,f509])).
% 0.15/0.55 fof(f622,definition,(
% 0.15/0.55 ![X0]: (sQ16_spl <=> (~frontsegP(sk2,X0)|~ssList(X0)|frontsegP(sk2,X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f625,plain,(
% 0.15/0.55 sQ16_spl|~sQ12_spl|~sQ6_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f613,f622,f549,f495])).
% 0.15/0.55 fof(f626,plain,(
% 0.15/0.55 ![X0]: (~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f300,f435])).
% 0.15/0.55 fof(f628,definition,(
% 0.15/0.55 ![X0]: (sQ17_spl <=> (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f629,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~sQ17_spl)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f628])).
% 0.15/0.55 fof(f631,plain,(
% 0.15/0.55 ~sQ12_spl|sQ17_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f626,f549,f628])).
% 0.15/0.55 fof(f632,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~sQ17_spl)),
% 0.15/0.55 inference(duplicate_literals_removal,[status(thm)],[f629])).
% 0.15/0.55 fof(f643,plain,(
% 0.15/0.55 app(nil,sk2)=sk2),
% 0.15/0.55 inference(resolution,[status(thm)],[f272,f429])).
% 0.15/0.55 fof(f644,plain,(
% 0.15/0.55 app(nil,sk1)=sk1),
% 0.15/0.55 inference(resolution,[status(thm)],[f272,f428])).
% 0.15/0.55 fof(f652,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,X0)|~ssList(sk2)|~ssList(X0)|~ssList(nil)|frontsegP(sk2,X0))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f643,f349])).
% 0.15/0.55 fof(f653,definition,(
% 0.15/0.55 ![X0]: (sQ20_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(sk2,X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f656,plain,(
% 0.15/0.55 sQ20_spl|~sQ6_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f652,f653,f495,f549])).
% 0.15/0.55 fof(f657,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,X0)|~ssList(sk1)|~ssList(X0)|~ssList(nil)|frontsegP(sk1,X0))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f644,f349])).
% 0.15/0.55 fof(f658,definition,(
% 0.15/0.55 ![X0]: (sQ21_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(sk1,X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f661,plain,(
% 0.15/0.55 sQ21_spl|~sQ9_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f657,f658,f509,f549])).
% 0.15/0.55 fof(f687,plain,(
% 0.15/0.55 ![X0]: (~segmentP(sk1,X0)|~segmentP(X0,sk2)|~ssList(sk2)|~ssList(X0)|~ssList(sk1)|sQ8_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f372,f503])).
% 0.15/0.55 fof(f689,plain,(
% 0.15/0.55 ![X0,X1]: (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~ssList(X1)|nil=X1)),
% 0.15/0.55 inference(resolution,[status(thm)],[f372,f278])).
% 0.15/0.55 fof(f690,definition,(
% 0.15/0.55 ![X0]: (sQ22_spl <=> (~segmentP(sk1,X0)|~segmentP(X0,sk2)|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f693,plain,(
% 0.15/0.55 sQ22_spl|~sQ6_spl|~sQ9_spl|sQ8_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f687,f690,f495,f509,f501])).
% 0.15/0.55 fof(f698,definition,(
% 0.15/0.55 ![X0,X1]: (sQ24_spl <=> (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f701,plain,(
% 0.15/0.55 sQ24_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f689,f698,f549])).
% 0.15/0.55 fof(f703,plain,(
% 0.15/0.55 ![X0,X1]: (~frontsegP(nil,X0)|~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~ssList(X1)|nil=X1)),
% 0.15/0.55 inference(resolution,[status(thm)],[f376,f282])).
% 0.15/0.55 fof(f704,definition,(
% 0.15/0.55 ![X0,X1]: (sQ25_spl <=> (~frontsegP(nil,X0)|~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f707,plain,(
% 0.15/0.55 sQ25_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f703,f704,f549])).
% 0.15/0.55 fof(f721,plain,(
% 0.15/0.55 ~segmentP(sk1,sk1)|~ssList(sk1)|~ssList(sk1)|sk1=sk1|~sQ11_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f337,f516])).
% 0.15/0.55 fof(f722,plain,(
% 0.15/0.55 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f337,f253])).
% 0.15/0.55 fof(f725,definition,(
% 0.15/0.55 sQ28_spl <=> (sk2=sk2)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f729,definition,(
% 0.15/0.55 sQ29_spl <=> (sk1=sk1)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f732,plain,(
% 0.15/0.55 ~sQ11_spl|~sQ9_spl|sQ29_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f721,f515,f509,f729])).
% 0.15/0.55 fof(f733,definition,(
% 0.15/0.55 ![X0]: (sQ30_spl <=> (~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f736,plain,(
% 0.15/0.55 sQ30_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f722,f733,f549])).
% 0.15/0.55 fof(f740,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~frontsegP(X0,app(X1,X2))|~ssList(X0)|~ssList(app(X1,X2))|app(X1,X2)=X0|~frontsegP(X1,X0)|~ssList(X2)|~ssList(X0)|~ssList(X1))),
% 0.15/0.55 inference(resolution,[status(thm)],[f339,f349])).
% 0.15/0.55 fof(f742,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f339,f257])).
% 0.15/0.55 fof(f745,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~frontsegP(X0,app(X1,X2))|~ssList(X0)|~ssList(app(X1,X2))|app(X1,X2)=X0|~frontsegP(X1,X0)|~ssList(X2)|~ssList(X1))),
% 0.15/0.55 inference(duplicate_literals_removal,[status(thm)],[f740])).
% 0.15/0.55 fof(f746,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~frontsegP(X0,app(X1,X2))|~ssList(X0)|app(X1,X2)=X0|~frontsegP(X1,X0)|~ssList(X2)|~ssList(X1))),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f745,f283])).
% 0.15/0.55 fof(f754,definition,(
% 0.15/0.55 ![X0]: (sQ33_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f757,plain,(
% 0.15/0.55 sQ33_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f742,f754,f549])).
% 0.15/0.55 fof(f780,plain,(
% 0.15/0.55 ![X0,X1]: (~frontsegP(nil,app(X0,X1))|~ssList(nil)|app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|~ssList(X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f746,f257])).
% 0.15/0.55 fof(f782,plain,(
% 0.15/0.55 ![X0,X1]: (~frontsegP(X0,app(X0,X1))|~ssList(X0)|app(X0,X1)=X0|~ssList(X1)|~ssList(X0)|~ssList(X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f746,f258])).
% 0.15/0.55 fof(f789,definition,(
% 0.15/0.55 ![X0,X1]: (sQ36_spl <=> (~frontsegP(nil,app(X0,X1))|app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f792,plain,(
% 0.15/0.55 sQ36_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f780,f789,f549])).
% 0.15/0.55 fof(f794,plain,(
% 0.15/0.55 ![X0,X1]: (~frontsegP(X0,app(X0,X1))|~ssList(X0)|app(X0,X1)=X0|~ssList(X1))),
% 0.15/0.55 inference(duplicate_literals_removal,[status(thm)],[f782])).
% 0.15/0.55 fof(f800,plain,(
% 0.15/0.55 ~frontsegP(nil,nil)|~ssList(nil)|app(nil,nil)=nil|~ssList(nil)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f595,f794])).
% 0.15/0.55 fof(f801,plain,(
% 0.15/0.55 ~frontsegP(sk1,sk1)|~ssList(sk1)|app(sk1,nil)=sk1|~ssList(nil)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f588,f794])).
% 0.15/0.55 fof(f802,plain,(
% 0.15/0.55 ~frontsegP(sk2,sk2)|~ssList(sk2)|app(sk2,nil)=sk2|~ssList(nil)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f587,f794])).
% 0.15/0.55 fof(f820,definition,(
% 0.15/0.55 sQ41_spl <=> (frontsegP(nil,nil))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f821,plain,(
% 0.15/0.55 frontsegP(nil,nil)|~sQ41_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f820])).
% 0.15/0.55 fof(f823,definition,(
% 0.15/0.55 sQ42_spl <=> (app(nil,nil)=nil)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f826,plain,(
% 0.15/0.55 ~sQ41_spl|~sQ12_spl|sQ42_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f800,f820,f549,f823])).
% 0.15/0.55 fof(f827,definition,(
% 0.15/0.55 sQ43_spl <=> (frontsegP(sk1,sk1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f828,plain,(
% 0.15/0.55 frontsegP(sk1,sk1)|~sQ43_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f827])).
% 0.15/0.55 fof(f829,plain,(
% 0.15/0.55 ~frontsegP(sk1,sk1)|sQ43_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f827])).
% 0.15/0.55 fof(f830,definition,(
% 0.15/0.55 sQ44_spl <=> (app(sk1,nil)=sk1)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f833,plain,(
% 0.15/0.55 ~sQ43_spl|~sQ9_spl|sQ44_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f801,f827,f509,f830,f549])).
% 0.15/0.55 fof(f834,definition,(
% 0.15/0.55 sQ45_spl <=> (frontsegP(sk2,sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f835,plain,(
% 0.15/0.55 frontsegP(sk2,sk2)|~sQ45_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f834])).
% 0.15/0.55 fof(f837,definition,(
% 0.15/0.55 sQ46_spl <=> (app(sk2,nil)=sk2)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f840,plain,(
% 0.15/0.55 ~sQ45_spl|~sQ6_spl|sQ46_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f802,f834,f495,f837,f549])).
% 0.15/0.55 fof(f847,plain,(
% 0.15/0.55 ~ssList(sk1)|sQ43_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f829,f258])).
% 0.15/0.55 fof(f852,plain,(
% 0.15/0.55 ~sQ9_spl|sQ43_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f847,f509,f827])).
% 0.15/0.55 fof(f853,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f478,f283])).
% 0.15/0.55 fof(f856,plain,(
% 0.15/0.55 ~ssList(sk1)|~ssList(nil)|frontsegP(sk1,nil)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f644,f853])).
% 0.15/0.55 fof(f857,plain,(
% 0.15/0.55 ~ssList(sk2)|~ssList(nil)|frontsegP(sk2,nil)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f643,f853])).
% 0.15/0.55 fof(f858,plain,(
% 0.15/0.55 ~ssList(nil)|~ssList(nil)|frontsegP(nil,nil)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f595,f853])).
% 0.15/0.55 fof(f860,plain,(
% 0.15/0.55 ~ssList(nil)|~ssList(sk2)|frontsegP(sk2,sk2)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f587,f853])).
% 0.15/0.55 fof(f864,definition,(
% 0.15/0.55 sQ49_spl <=> (frontsegP(sk1,nil))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f865,plain,(
% 0.15/0.55 frontsegP(sk1,nil)|~sQ49_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f864])).
% 0.15/0.55 fof(f867,plain,(
% 0.15/0.55 ~sQ9_spl|~sQ12_spl|sQ49_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f856,f509,f549,f864])).
% 0.15/0.55 fof(f868,definition,(
% 0.15/0.55 sQ50_spl <=> (frontsegP(sk2,nil))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f869,plain,(
% 0.15/0.55 frontsegP(sk2,nil)|~sQ50_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f868])).
% 0.15/0.55 fof(f871,plain,(
% 0.15/0.55 ~sQ6_spl|~sQ12_spl|sQ50_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f857,f495,f549,f868])).
% 0.15/0.55 fof(f872,plain,(
% 0.15/0.55 ~sQ12_spl|sQ41_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f858,f549,f820])).
% 0.15/0.55 fof(f874,plain,(
% 0.15/0.55 ~sQ12_spl|~sQ6_spl|sQ45_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f860,f549,f495,f834])).
% 0.15/0.55 fof(f875,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk2)|~ssList(sk2)|segmentP(app(app(X1,sk2),X0),sk2)|~sQ7_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f402,f499])).
% 0.15/0.55 fof(f876,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk1)|~ssList(sk1)|segmentP(app(app(X1,sk1),X0),sk1)|~sQ11_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f402,f516])).
% 0.15/0.55 fof(f877,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(X2)|segmentP(app(app(X1,X2),X0),nil)|~ssList(X2))),
% 0.15/0.55 inference(resolution,[status(thm)],[f402,f253])).
% 0.15/0.55 fof(f880,definition,(
% 0.15/0.55 ![X0,X1]: (sQ51_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk2),X0),sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f881,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk2),X0),sk2)|~sQ51_spl)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f880])).
% 0.15/0.55 fof(f883,plain,(
% 0.15/0.55 sQ51_spl|~sQ6_spl|~sQ7_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f875,f880,f495,f498])).
% 0.15/0.55 fof(f884,definition,(
% 0.15/0.55 ![X0,X1]: (sQ52_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk1),X0),sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f885,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk1),X0),sk1)|~sQ52_spl)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f884])).
% 0.15/0.55 fof(f887,plain,(
% 0.15/0.55 sQ52_spl|~sQ9_spl|~sQ11_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f876,f884,f509,f515])).
% 0.15/0.55 fof(f888,definition,(
% 0.15/0.55 ![X0,X1,X2]: (sQ53_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),nil)|~ssList(X2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f891,plain,(
% 0.15/0.55 sQ53_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f877,f888,f549])).
% 0.15/0.55 fof(f900,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(sk1,app(sk1,X0))|~ssList(sk1)|app(sk1,X0)=sk1|~ssList(X0)|~ssList(sk1)|~sQ43_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f828,f746])).
% 0.15/0.55 fof(f902,definition,(
% 0.15/0.55 ![X0]: (sQ55_spl <=> (~frontsegP(sk1,app(sk1,X0))|app(sk1,X0)=sk1|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f905,plain,(
% 0.15/0.55 sQ55_spl|~sQ9_spl|~sQ43_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f900,f902,f509,f827])).
% 0.15/0.55 fof(f907,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,app(sk1,X0))|~ssList(nil)|app(sk1,X0)=nil|~ssList(X0)|~ssList(sk1)|~sQ49_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f865,f746])).
% 0.15/0.55 fof(f909,definition,(
% 0.15/0.55 ![X0]: (sQ56_spl <=> (~frontsegP(nil,app(sk1,X0))|app(sk1,X0)=nil|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f912,plain,(
% 0.15/0.55 sQ56_spl|~sQ12_spl|~sQ9_spl|~sQ49_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f907,f909,f549,f509,f864])).
% 0.15/0.55 fof(f917,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,app(sk2,X0))|~ssList(nil)|app(sk2,X0)=nil|~ssList(X0)|~ssList(sk2)|~sQ50_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f869,f746])).
% 0.15/0.55 fof(f919,definition,(
% 0.15/0.55 ![X0]: (sQ58_spl <=> (~frontsegP(nil,app(sk2,X0))|app(sk2,X0)=nil|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f922,plain,(
% 0.15/0.55 sQ58_spl|~sQ12_spl|~sQ6_spl|~sQ50_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f917,f919,f549,f495,f868])).
% 0.15/0.55 fof(f928,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(nil,app(nil,X0))|~ssList(nil)|app(nil,X0)=nil|~ssList(X0)|~ssList(nil)|~sQ41_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f821,f746])).
% 0.15/0.55 fof(f931,definition,(
% 0.15/0.55 ![X0]: (sQ60_spl <=> (~frontsegP(nil,app(nil,X0))|app(nil,X0)=nil|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f934,plain,(
% 0.15/0.55 sQ60_spl|~sQ12_spl|~sQ41_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f928,f931,f549,f820])).
% 0.15/0.55 fof(f936,plain,(
% 0.15/0.55 ![X0]: (~frontsegP(sk2,app(sk2,X0))|~ssList(sk2)|app(sk2,X0)=sk2|~ssList(X0)|~ssList(sk2)|~sQ45_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f835,f746])).
% 0.15/0.55 fof(f937,plain,(
% 0.15/0.55 ~frontsegP(sk2,sk2)|~ssList(sk2)|~ssList(sk2)|sk2=sk2|~sQ45_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f835,f339])).
% 0.15/0.55 fof(f938,definition,(
% 0.15/0.55 ![X0]: (sQ61_spl <=> (~frontsegP(sk2,app(sk2,X0))|app(sk2,X0)=sk2|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f941,plain,(
% 0.15/0.55 sQ61_spl|~sQ6_spl|~sQ45_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f936,f938,f495,f834])).
% 0.15/0.55 fof(f942,plain,(
% 0.15/0.55 ~sQ45_spl|~sQ6_spl|sQ28_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f937,f834,f495,f725])).
% 0.15/0.55 fof(f958,plain,(
% 0.15/0.55 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~ssList(sk1)|~ssList(app(app(X1,sk1),X0))|segmentP(app(app(X3,app(app(X1,sk1),X0)),X2),sk1)|~sQ52_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f885,f402])).
% 0.15/0.55 fof(f959,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(sk1,app(app(X1,sk1),X0))|~ssList(sk1)|~ssList(app(app(X1,sk1),X0))|app(app(X1,sk1),X0)=sk1|~sQ52_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f885,f337])).
% 0.15/0.55 fof(f960,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(nil)|segmentP(app(sk1,X0),sk1)|~sQ52_spl)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f644,f885])).
% 0.15/0.55 fof(f961,definition,(
% 0.15/0.55 ![X0,X1,X2,X3]: (sQ62_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~ssList(app(app(X1,sk1),X0))|segmentP(app(app(X3,app(app(X1,sk1),X0)),X2),sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f964,plain,(
% 0.15/0.55 sQ62_spl|~sQ9_spl|~sQ52_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f958,f961,f509,f884])).
% 0.15/0.55 fof(f965,definition,(
% 0.15/0.55 ![X0,X1]: (sQ63_spl <=> (~ssList(X0)|~ssList(X1)|~segmentP(sk1,app(app(X1,sk1),X0))|~ssList(app(app(X1,sk1),X0))|app(app(X1,sk1),X0)=sk1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f968,plain,(
% 0.15/0.55 sQ63_spl|~sQ9_spl|~sQ52_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f959,f965,f509,f884])).
% 0.15/0.55 fof(f969,definition,(
% 0.15/0.55 ![X0]: (sQ64_spl <=> (~ssList(X0)|segmentP(app(sk1,X0),sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f970,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~sQ64_spl)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f969])).
% 0.15/0.55 fof(f972,plain,(
% 0.15/0.55 sQ64_spl|~sQ12_spl|~sQ52_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f960,f969,f549,f884])).
% 0.15/0.55 fof(f973,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(X2,app(sk1,X0)),X1),sk1)|~sQ64_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f970,f402])).
% 0.15/0.55 fof(f974,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~segmentP(sk1,app(sk1,X0))|~ssList(sk1)|~ssList(app(sk1,X0))|app(sk1,X0)=sk1|~sQ64_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f970,f337])).
% 0.15/0.55 fof(f976,definition,(
% 0.15/0.55 ![X0,X1,X2]: (sQ65_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(sk1,X0))|segmentP(app(app(X2,app(sk1,X0)),X1),sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f979,plain,(
% 0.15/0.55 sQ65_spl|~sQ9_spl|~sQ64_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f973,f976,f509,f969])).
% 0.15/0.55 fof(f980,definition,(
% 0.15/0.55 ![X0]: (sQ66_spl <=> (~ssList(X0)|~segmentP(sk1,app(sk1,X0))|~ssList(app(sk1,X0))|app(sk1,X0)=sk1))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f983,plain,(
% 0.15/0.55 sQ66_spl|~sQ9_spl|~sQ64_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f974,f980,f509,f969])).
% 0.15/0.55 fof(f985,plain,(
% 0.15/0.55 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~ssList(sk2)|~ssList(app(app(X1,sk2),X0))|segmentP(app(app(X3,app(app(X1,sk2),X0)),X2),sk2)|~sQ51_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f881,f402])).
% 0.15/0.55 fof(f986,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(sk2,app(app(X1,sk2),X0))|~ssList(sk2)|~ssList(app(app(X1,sk2),X0))|app(app(X1,sk2),X0)=sk2|~sQ51_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f881,f337])).
% 0.15/0.55 fof(f987,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(nil)|segmentP(app(sk2,X0),sk2)|~sQ51_spl)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f643,f881])).
% 0.15/0.55 fof(f988,definition,(
% 0.15/0.55 ![X0,X1,X2,X3]: (sQ67_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~ssList(app(app(X1,sk2),X0))|segmentP(app(app(X3,app(app(X1,sk2),X0)),X2),sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f991,plain,(
% 0.15/0.55 sQ67_spl|~sQ6_spl|~sQ51_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f985,f988,f495,f880])).
% 0.15/0.55 fof(f992,definition,(
% 0.15/0.55 ![X0,X1]: (sQ68_spl <=> (~ssList(X0)|~ssList(X1)|~segmentP(sk2,app(app(X1,sk2),X0))|~ssList(app(app(X1,sk2),X0))|app(app(X1,sk2),X0)=sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f995,plain,(
% 0.15/0.55 sQ68_spl|~sQ6_spl|~sQ51_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f986,f992,f495,f880])).
% 0.15/0.55 fof(f996,definition,(
% 0.15/0.55 ![X0]: (sQ69_spl <=> (~ssList(X0)|segmentP(app(sk2,X0),sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f997,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|segmentP(app(sk2,X0),sk2)|~sQ69_spl)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f996])).
% 0.15/0.55 fof(f999,plain,(
% 0.15/0.55 sQ69_spl|~sQ12_spl|~sQ51_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f987,f996,f549,f880])).
% 0.15/0.55 fof(f1000,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(sk2)|~ssList(app(sk2,X0))|segmentP(app(app(X2,app(sk2,X0)),X1),sk2)|~sQ69_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f997,f402])).
% 0.15/0.55 fof(f1001,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~segmentP(sk2,app(sk2,X0))|~ssList(sk2)|~ssList(app(sk2,X0))|app(sk2,X0)=sk2|~sQ69_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f997,f337])).
% 0.15/0.55 fof(f1003,definition,(
% 0.15/0.55 ![X0,X1,X2]: (sQ70_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(sk2,X0))|segmentP(app(app(X2,app(sk2,X0)),X1),sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1006,plain,(
% 0.15/0.55 sQ70_spl|~sQ6_spl|~sQ69_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1000,f1003,f495,f996])).
% 0.15/0.55 fof(f1007,definition,(
% 0.15/0.55 ![X0]: (sQ71_spl <=> (~ssList(X0)|~segmentP(sk2,app(sk2,X0))|~ssList(app(sk2,X0))|app(sk2,X0)=sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1010,plain,(
% 0.15/0.55 sQ71_spl|~sQ6_spl|~sQ69_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1001,f1007,f495,f996])).
% 0.15/0.55 fof(f1013,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f644,f481])).
% 0.15/0.55 fof(f1014,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk2)|~ssList(app(sk2,X0))|segmentP(app(app(nil,sk2),X0),sk2))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f643,f481])).
% 0.15/0.55 fof(f1015,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f595,f481])).
% 0.15/0.55 fof(f1016,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(sk1)|~ssList(nil)|~ssList(app(sk1,X0))|segmentP(app(app(sk1,nil),X0),nil))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f588,f481])).
% 0.15/0.55 fof(f1017,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(nil)|~ssList(app(sk2,X0))|segmentP(app(app(sk2,nil),X0),nil))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f587,f481])).
% 0.15/0.55 fof(f1020,definition,(
% 0.15/0.55 ![X0]: (sQ72_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1023,plain,(
% 0.15/0.55 sQ72_spl|~sQ12_spl|~sQ9_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1013,f1020,f549,f509])).
% 0.15/0.55 fof(f1024,definition,(
% 0.15/0.55 ![X0]: (sQ73_spl <=> (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(nil,sk2),X0),sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1027,plain,(
% 0.15/0.55 sQ73_spl|~sQ12_spl|~sQ6_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1014,f1024,f549,f495])).
% 0.15/0.55 fof(f1028,definition,(
% 0.15/0.55 ![X0]: (sQ74_spl <=> (~ssList(X0)|~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1031,plain,(
% 0.15/0.55 sQ74_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1015,f1028,f549])).
% 0.15/0.55 fof(f1032,definition,(
% 0.15/0.55 ![X0]: (sQ75_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(sk1,nil),X0),nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1035,plain,(
% 0.15/0.55 sQ75_spl|~sQ9_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1016,f1032,f509,f549])).
% 0.15/0.55 fof(f1036,definition,(
% 0.15/0.55 ![X0]: (sQ76_spl <=> (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(sk2,nil),X0),nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1039,plain,(
% 0.15/0.55 sQ76_spl|~sQ6_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1017,f1036,f495,f549])).
% 0.15/0.55 fof(f1045,plain,(
% 0.15/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X2)|X2=X2|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|~ssItem(X2))),
% 0.15/0.55 inference(resolution,[status(thm)],[f410,f484])).
% 0.15/0.55 fof(f1048,definition,(
% 0.15/0.55 ![X0,X1]: (sQ77_spl <=> (~ssList(X0)|~ssList(X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1049,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|~sQ77_spl)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1048])).
% 0.15/0.55 fof(f1051,definition,(
% 0.15/0.55 ![X2]: (sQ78_spl <=> (~ssItem(X2)|~ssItem(X2)|X2=X2|~ssItem(X2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1054,plain,(
% 0.15/0.55 sQ77_spl|sQ78_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1045,f1048,f1051])).
% 0.15/0.55 fof(f1055,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X1,X0)|~sQ77_spl)),
% 0.15/0.55 inference(duplicate_literals_removal,[status(thm)],[f1049])).
% 0.15/0.55 fof(f1059,plain,(
% 0.15/0.55 ~ssList(sk1)|~ssList(sk1)|~sQ77_spl|~sQ43_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f1055,f828])).
% 0.15/0.55 fof(f1068,plain,(
% 0.15/0.55 ~sQ9_spl|~sQ77_spl|~sQ43_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1059,f509,f1048,f827])).
% 0.15/0.55 fof(f1086,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(X0)|app(skaf46(X0,X0),X0)=X0|~ssList(X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f341,f256])).
% 0.15/0.55 fof(f1087,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|app(skaf46(X0,X0),X0)=X0)),
% 0.15/0.55 inference(duplicate_literals_removal,[status(thm)],[f1086])).
% 0.15/0.55 fof(f1096,plain,(
% 0.15/0.55 app(skaf46(sk2,sk2),sk2)=sk2),
% 0.15/0.55 inference(resolution,[status(thm)],[f1087,f429])).
% 0.15/0.55 fof(f1097,plain,(
% 0.15/0.55 app(skaf46(sk1,sk1),sk1)=sk1),
% 0.15/0.55 inference(resolution,[status(thm)],[f1087,f428])).
% 0.15/0.55 fof(f1104,plain,(
% 0.15/0.55 app(skaf46(nil,nil),nil)=nil),
% 0.15/0.55 inference(resolution,[status(thm)],[f1087,f205])).
% 0.15/0.55 fof(f1120,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(skaf46(sk2,sk2))|~ssList(sk2)|~ssList(app(sk2,X0))|segmentP(app(app(skaf46(sk2,sk2),sk2),X0),sk2))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1096,f481])).
% 0.15/0.55 fof(f1121,plain,(
% 0.15/0.55 ~ssList(sk2)|~ssList(skaf46(sk2,sk2))|frontsegP(sk2,skaf46(sk2,sk2))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1096,f853])).
% 0.15/0.55 fof(f1122,plain,(
% 0.15/0.55 ~frontsegP(skaf46(sk2,sk2),sk2)|~ssList(skaf46(sk2,sk2))|app(skaf46(sk2,sk2),sk2)=skaf46(sk2,sk2)|~ssList(sk2)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1096,f794])).
% 0.15/0.55 fof(f1124,definition,(
% 0.15/0.55 sQ80_spl <=> (ssList(skaf46(sk2,sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1126,plain,(
% 0.15/0.55 ~ssList(skaf46(sk2,sk2))|sQ80_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1124])).
% 0.15/0.55 fof(f1128,definition,(
% 0.15/0.55 ![X0]: (sQ81_spl <=> (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(skaf46(sk2,sk2),sk2),X0),sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1131,plain,(
% 0.15/0.55 sQ81_spl|~sQ80_spl|~sQ6_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1120,f1128,f1124,f495])).
% 0.15/0.55 fof(f1132,definition,(
% 0.15/0.55 sQ82_spl <=> (frontsegP(sk2,skaf46(sk2,sk2)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1133,plain,(
% 0.15/0.55 frontsegP(sk2,skaf46(sk2,sk2))|~sQ82_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1132])).
% 0.15/0.55 fof(f1135,plain,(
% 0.15/0.55 ~sQ6_spl|~sQ80_spl|sQ82_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1121,f495,f1124,f1132])).
% 0.15/0.55 fof(f1136,definition,(
% 0.15/0.55 sQ83_spl <=> (frontsegP(skaf46(sk2,sk2),sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1139,definition,(
% 0.15/0.55 sQ84_spl <=> (app(skaf46(sk2,sk2),sk2)=skaf46(sk2,sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1142,plain,(
% 0.15/0.55 ~sQ83_spl|~sQ80_spl|sQ84_spl|~sQ6_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1122,f1136,f1124,f1139,f495])).
% 0.15/0.55 fof(f1144,plain,(
% 0.15/0.55 $false|sQ80_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1126,f247])).
% 0.15/0.55 fof(f1145,plain,(
% 0.15/0.55 sQ80_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f1144])).
% 0.15/0.55 fof(f1149,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|X0=nil|~segmentP(sk1,X0)|~segmentP(sk2,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|~ssList(sk2)|~sQ17_spl)),
% 0.15/0.55 inference(resolution,[status(thm)],[f632,f372])).
% 0.15/0.55 fof(f1156,definition,(
% 0.15/0.55 ![X0,X1]: (sQ86_spl <=> (~ssList(X0)|X0=nil|~segmentP(sk1,X0)|~segmentP(sk2,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1159,plain,(
% 0.15/0.55 sQ86_spl|~sQ6_spl|~sQ17_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1149,f1156,f495,f628])).
% 0.15/0.55 fof(f1163,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(skaf46(sk1,sk1))|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(skaf46(sk1,sk1),sk1),X0),sk1))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1097,f481])).
% 0.15/0.55 fof(f1164,plain,(
% 0.15/0.55 ~ssList(sk1)|~ssList(skaf46(sk1,sk1))|frontsegP(sk1,skaf46(sk1,sk1))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1097,f853])).
% 0.15/0.55 fof(f1167,definition,(
% 0.15/0.55 sQ87_spl <=> (ssList(skaf46(sk1,sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1169,plain,(
% 0.15/0.55 ~ssList(skaf46(sk1,sk1))|sQ87_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1167])).
% 0.15/0.55 fof(f1171,definition,(
% 0.15/0.55 ![X0]: (sQ88_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(skaf46(sk1,sk1),sk1),X0),sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1174,plain,(
% 0.15/0.55 sQ88_spl|~sQ87_spl|~sQ9_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1163,f1171,f1167,f509])).
% 0.15/0.55 fof(f1175,definition,(
% 0.15/0.55 sQ89_spl <=> (frontsegP(sk1,skaf46(sk1,sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1176,plain,(
% 0.15/0.55 frontsegP(sk1,skaf46(sk1,sk1))|~sQ89_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1175])).
% 0.15/0.55 fof(f1178,plain,(
% 0.15/0.55 ~sQ9_spl|~sQ87_spl|sQ89_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1164,f509,f1167,f1175])).
% 0.15/0.55 fof(f1187,plain,(
% 0.15/0.55 $false|sQ87_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1169,f247])).
% 0.15/0.55 fof(f1188,plain,(
% 0.15/0.55 sQ87_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f1187])).
% 0.15/0.55 fof(f1190,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(skaf46(nil,nil))|~ssList(nil)|~ssList(app(nil,X0))|segmentP(app(app(skaf46(nil,nil),nil),X0),nil))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1104,f481])).
% 0.15/0.55 fof(f1191,plain,(
% 0.15/0.55 ~ssList(nil)|~ssList(skaf46(nil,nil))|frontsegP(nil,skaf46(nil,nil))),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1104,f853])).
% 0.15/0.55 fof(f1194,definition,(
% 0.15/0.55 ![X0]: (sQ92_spl <=> (~ssList(X0)|~ssList(app(nil,X0))|segmentP(app(app(skaf46(nil,nil),nil),X0),nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1197,definition,(
% 0.15/0.55 sQ93_spl <=> (ssList(skaf46(nil,nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1199,plain,(
% 0.15/0.55 ~ssList(skaf46(nil,nil))|sQ93_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1197])).
% 0.15/0.55 fof(f1200,plain,(
% 0.15/0.55 sQ92_spl|~sQ93_spl|~sQ12_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1190,f1194,f1197,f549])).
% 0.15/0.55 fof(f1201,definition,(
% 0.15/0.55 sQ94_spl <=> (frontsegP(nil,skaf46(nil,nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1202,plain,(
% 0.15/0.55 frontsegP(nil,skaf46(nil,nil))|~sQ94_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1201])).
% 0.15/0.55 fof(f1204,plain,(
% 0.15/0.55 ~sQ12_spl|~sQ93_spl|sQ94_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1191,f549,f1197,f1201])).
% 0.15/0.55 fof(f1213,plain,(
% 0.15/0.55 $false|sQ93_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1199,f247])).
% 0.15/0.55 fof(f1214,plain,(
% 0.15/0.55 sQ93_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f1213])).
% 0.15/0.55 fof(f1216,plain,(
% 0.15/0.55 ~ssList(skaf46(nil,nil))|nil=skaf46(nil,nil)|~sQ94_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f1202,f282])).
% 0.15/0.55 fof(f1217,definition,(
% 0.15/0.55 sQ97_spl <=> (nil=skaf46(nil,nil))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1220,plain,(
% 0.15/0.55 ~sQ93_spl|sQ97_spl|~sQ94_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1216,f1197,f1217,f1201])).
% 0.15/0.55 fof(f1227,plain,(
% 0.15/0.55 ~frontsegP(skaf46(sk2,sk2),sk2)|~ssList(skaf46(sk2,sk2))|~ssList(sk2)|sk2=skaf46(sk2,sk2)|~sQ82_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f339,f1133])).
% 0.15/0.55 fof(f1242,definition,(
% 0.15/0.55 sQ99_spl <=> (sk2=skaf46(sk2,sk2))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1245,plain,(
% 0.15/0.55 ~sQ83_spl|~sQ80_spl|~sQ6_spl|sQ99_spl|~sQ82_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1227,f1136,f1124,f495,f1242,f1132])).
% 0.15/0.55 fof(f1257,plain,(
% 0.15/0.55 ~ssList(nil)|~ssList(nil)|app(nil,skaf45(nil,nil))=nil|~sQ41_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f821])).
% 0.15/0.55 fof(f1258,plain,(
% 0.15/0.55 ~ssList(skaf46(sk1,sk1))|~ssList(sk1)|app(skaf46(sk1,sk1),skaf45(sk1,skaf46(sk1,sk1)))=sk1|~sQ89_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f1176])).
% 0.15/0.55 fof(f1259,plain,(
% 0.15/0.55 ~ssList(nil)|~ssList(sk1)|app(nil,skaf45(sk1,nil))=sk1|~sQ49_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f865])).
% 0.15/0.55 fof(f1260,plain,(
% 0.15/0.55 ~ssList(sk1)|~ssList(sk1)|app(sk1,skaf45(sk1,sk1))=sk1|~sQ43_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f828])).
% 0.15/0.55 fof(f1262,plain,(
% 0.15/0.55 ~ssList(skaf46(sk2,sk2))|~ssList(sk2)|app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2)))=sk2|~sQ82_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f1133])).
% 0.15/0.55 fof(f1263,plain,(
% 0.15/0.55 ~ssList(sk2)|~ssList(sk2)|app(sk2,skaf45(sk2,sk2))=sk2|~sQ45_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f835])).
% 0.15/0.55 fof(f1264,plain,(
% 0.15/0.55 ~ssList(nil)|~ssList(sk2)|app(nil,skaf45(sk2,nil))=sk2|~sQ50_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f869])).
% 0.15/0.55 fof(f1265,plain,(
% 0.15/0.55 ~ssList(sk1)|~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2|~sQ4_spl),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f506])).
% 0.15/0.55 fof(f1266,plain,(
% 0.15/0.55 ![X0]: (~ssList(nil)|~ssList(X0)|app(nil,skaf45(X0,nil))=X0|~ssList(X0))),
% 0.15/0.55 inference(resolution,[status(thm)],[f342,f257])).
% 0.15/0.55 fof(f1268,definition,(
% 0.15/0.55 sQ100_spl <=> (app(nil,skaf45(nil,nil))=nil)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1271,plain,(
% 0.15/0.55 ~sQ12_spl|sQ100_spl|~sQ41_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1257,f549,f1268,f820])).
% 0.15/0.55 fof(f1272,definition,(
% 0.15/0.55 sQ101_spl <=> (app(skaf46(sk1,sk1),skaf45(sk1,skaf46(sk1,sk1)))=sk1)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1275,plain,(
% 0.15/0.55 ~sQ87_spl|~sQ9_spl|sQ101_spl|~sQ89_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1258,f1167,f509,f1272,f1175])).
% 0.15/0.55 fof(f1276,definition,(
% 0.15/0.55 sQ102_spl <=> (app(nil,skaf45(sk1,nil))=sk1)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1277,plain,(
% 0.15/0.55 app(nil,skaf45(sk1,nil))=sk1|~sQ102_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1276])).
% 0.15/0.55 fof(f1279,plain,(
% 0.15/0.55 ~sQ12_spl|~sQ9_spl|sQ102_spl|~sQ49_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1259,f549,f509,f1276,f864])).
% 0.15/0.55 fof(f1280,definition,(
% 0.15/0.55 sQ103_spl <=> (app(sk1,skaf45(sk1,sk1))=sk1)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1281,plain,(
% 0.15/0.55 app(sk1,skaf45(sk1,sk1))=sk1|~sQ103_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1280])).
% 0.15/0.55 fof(f1283,plain,(
% 0.15/0.55 ~sQ9_spl|sQ103_spl|~sQ43_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1260,f509,f1280,f827])).
% 0.15/0.55 fof(f1286,definition,(
% 0.15/0.55 sQ104_spl <=> (app(skaf46(sk2,sk2),skaf45(sk2,skaf46(sk2,sk2)))=sk2)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1289,plain,(
% 0.15/0.55 ~sQ80_spl|~sQ6_spl|sQ104_spl|~sQ82_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1262,f1124,f495,f1286,f1132])).
% 0.15/0.55 fof(f1290,definition,(
% 0.15/0.55 sQ105_spl <=> (app(sk2,skaf45(sk2,sk2))=sk2)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1291,plain,(
% 0.15/0.55 app(sk2,skaf45(sk2,sk2))=sk2|~sQ105_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1290])).
% 0.15/0.55 fof(f1293,plain,(
% 0.15/0.55 ~sQ6_spl|sQ105_spl|~sQ45_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1263,f495,f1290,f834])).
% 0.15/0.55 fof(f1294,definition,(
% 0.15/0.55 sQ106_spl <=> (app(nil,skaf45(sk2,nil))=sk2)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1295,plain,(
% 0.15/0.55 app(nil,skaf45(sk2,nil))=sk2|~sQ106_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1294])).
% 0.15/0.55 fof(f1297,plain,(
% 0.15/0.55 ~sQ12_spl|~sQ6_spl|sQ106_spl|~sQ50_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1264,f549,f495,f1294,f868])).
% 0.15/0.55 fof(f1298,definition,(
% 0.15/0.55 sQ107_spl <=> (app(sk1,skaf45(sk2,sk1))=sk2)),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1299,plain,(
% 0.15/0.55 app(sk1,skaf45(sk2,sk1))=sk2|~sQ107_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1298])).
% 0.15/0.55 fof(f1301,plain,(
% 0.15/0.55 ~sQ9_spl|~sQ6_spl|sQ107_spl|~sQ4_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1265,f509,f495,f1298,f454])).
% 0.15/0.55 fof(f1302,definition,(
% 0.15/0.55 ![X0]: (sQ108_spl <=> (~ssList(X0)|app(nil,skaf45(X0,nil))=X0|~ssList(X0)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1305,plain,(
% 0.15/0.55 ~sQ12_spl|sQ108_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1266,f549,f1302])).
% 0.15/0.55 fof(f1328,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(sk1)|~ssList(skaf45(sk1,sk1))|~ssList(app(sk1,X0))|segmentP(app(app(sk1,skaf45(sk1,sk1)),X0),skaf45(sk1,sk1))|~sQ103_spl)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1281,f481])).
% 0.15/0.55 fof(f1332,definition,(
% 0.15/0.55 sQ109_spl <=> (ssList(skaf45(sk1,sk1)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1334,plain,(
% 0.15/0.55 ~ssList(skaf45(sk1,sk1))|sQ109_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1332])).
% 0.15/0.55 fof(f1336,definition,(
% 0.15/0.55 ![X0]: (sQ110_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(sk1,skaf45(sk1,sk1)),X0),skaf45(sk1,sk1))))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1339,plain,(
% 0.15/0.55 sQ110_spl|~sQ9_spl|~sQ109_spl|~sQ103_spl),
% 0.15/0.55 inference(split_clause,[status(thm)],[f1328,f1336,f509,f1332,f1280])).
% 0.15/0.55 fof(f1343,plain,(
% 0.15/0.55 $false|sQ109_spl),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1334,f248])).
% 0.15/0.55 fof(f1344,plain,(
% 0.15/0.55 sQ109_spl),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f1343])).
% 0.15/0.55 fof(f1346,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(skaf45(sk1,nil))|~ssList(app(sk1,X0))|segmentP(app(app(nil,skaf45(sk1,nil)),X0),skaf45(sk1,nil))|~sQ102_spl)),
% 0.15/0.55 inference(paramodulation,[status(thm)],[f1277,f481])).
% 0.15/0.55 fof(f1350,definition,(
% 0.15/0.55 ![X0]: (sQ111_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,skaf45(sk1,nil)),X0),skaf45(sk1,nil))))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1353,definition,(
% 0.15/0.55 sQ112_spl <=> (ssList(skaf45(sk1,nil)))),
% 0.15/0.55 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.15/0.55 fof(f1355,plain,(
% 0.15/0.55 ~ssList(skaf45(sk1,nil))|sQ112_spl),
% 0.15/0.55 inference(component_clause,[status(thm)],[f1353])).
% 0.15/0.55 fof(f1356,plain,(
% 0.15/0.55 sQ111_spl|~sQ12_spl|~sQ112_spl|~sQ102_spl),
% 0.15/0.56 inference(split_clause,[status(thm)],[f1346,f1350,f549,f1353,f1276])).
% 0.15/0.56 fof(f1363,plain,(
% 0.15/0.56 $false|sQ112_spl),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1355,f248])).
% 0.15/0.56 fof(f1364,plain,(
% 0.15/0.56 sQ112_spl),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f1363])).
% 0.15/0.56 fof(f1366,plain,(
% 0.15/0.56 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(skaf45(sk2,nil))|~ssList(app(sk2,X0))|segmentP(app(app(nil,skaf45(sk2,nil)),X0),skaf45(sk2,nil))|~sQ106_spl)),
% 0.15/0.56 inference(paramodulation,[status(thm)],[f1295,f481])).
% 0.15/0.56 fof(f1370,definition,(
% 0.15/0.56 ![X0]: (sQ114_spl <=> (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(nil,skaf45(sk2,nil)),X0),skaf45(sk2,nil))))),
% 0.15/0.56 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 0.15/0.56 fof(f1373,definition,(
% 0.15/0.56 sQ115_spl <=> (ssList(skaf45(sk2,nil)))),
% 0.15/0.56 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 0.15/0.56 fof(f1375,plain,(
% 0.15/0.56 ~ssList(skaf45(sk2,nil))|sQ115_spl),
% 0.15/0.56 inference(component_clause,[status(thm)],[f1373])).
% 0.15/0.56 fof(f1376,plain,(
% 0.15/0.56 sQ114_spl|~sQ12_spl|~sQ115_spl|~sQ106_spl),
% 0.15/0.56 inference(split_clause,[status(thm)],[f1366,f1370,f549,f1373,f1294])).
% 0.15/0.56 fof(f1383,plain,(
% 0.15/0.56 $false|sQ115_spl),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1375,f248])).
% 0.15/0.56 fof(f1384,plain,(
% 0.15/0.56 sQ115_spl),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f1383])).
% 0.15/0.56 fof(f1403,plain,(
% 0.15/0.56 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(skaf45(sk2,sk2))|~ssList(app(sk2,X0))|segmentP(app(app(sk2,skaf45(sk2,sk2)),X0),skaf45(sk2,sk2))|~sQ105_spl)),
% 0.15/0.56 inference(paramodulation,[status(thm)],[f1291,f481])).
% 0.15/0.56 fof(f1407,definition,(
% 0.15/0.56 sQ117_spl <=> (ssList(skaf45(sk2,sk2)))),
% 0.15/0.56 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 0.15/0.56 fof(f1409,plain,(
% 0.15/0.56 ~ssList(skaf45(sk2,sk2))|sQ117_spl),
% 0.15/0.56 inference(component_clause,[status(thm)],[f1407])).
% 0.15/0.56 fof(f1411,definition,(
% 0.15/0.56 ![X0]: (sQ118_spl <=> (~ssList(X0)|~ssList(app(sk2,X0))|segmentP(app(app(sk2,skaf45(sk2,sk2)),X0),skaf45(sk2,sk2))))),
% 0.15/0.56 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 0.15/0.56 fof(f1414,plain,(
% 0.15/0.56 sQ118_spl|~sQ6_spl|~sQ117_spl|~sQ105_spl),
% 0.15/0.56 inference(split_clause,[status(thm)],[f1403,f1411,f495,f1407,f1290])).
% 0.15/0.56 fof(f1418,plain,(
% 0.15/0.56 $false|sQ117_spl),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1409,f248])).
% 0.15/0.56 fof(f1419,plain,(
% 0.15/0.56 sQ117_spl),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f1418])).
% 0.15/0.56 fof(f1421,plain,(
% 0.15/0.56 ~ssList(skaf45(sk2,sk1))|segmentP(sk2,sk1)|~sQ64_spl|~sQ107_spl),
% 0.15/0.56 inference(paramodulation,[status(thm)],[f1299,f970])).
% 0.15/0.56 fof(f1426,definition,(
% 0.15/0.56 sQ119_spl <=> (ssList(skaf45(sk2,sk1)))),
% 0.15/0.56 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 0.15/0.56 fof(f1428,plain,(
% 0.15/0.56 ~ssList(skaf45(sk2,sk1))|sQ119_spl),
% 0.15/0.56 inference(component_clause,[status(thm)],[f1426])).
% 0.15/0.56 fof(f1429,plain,(
% 0.15/0.56 ~sQ119_spl|sQ10_spl|~sQ64_spl|~sQ107_spl),
% 0.15/0.56 inference(split_clause,[status(thm)],[f1421,f1426,f512,f969,f1298])).
% 0.15/0.56 fof(f1443,plain,(
% 0.15/0.56 $false|sQ119_spl),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1428,f248])).
% 0.15/0.56 fof(f1444,plain,(
% 0.15/0.56 sQ119_spl),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f1443])).
% 0.15/0.56 fof(f1445,plain,(
% 0.15/0.56 $false),
% 0.15/0.56 inference(sat_refutation,[status(thm)],[f453,f461,f462,f504,f518,f520,f522,f543,f556,f559,f578,f604,f606,f617,f621,f625,f631,f656,f661,f693,f701,f707,f732,f736,f757,f792,f826,f833,f840,f852,f867,f871,f872,f874,f883,f887,f891,f905,f912,f922,f934,f941,f942,f964,f968,f972,f979,f983,f991,f995,f999,f1006,f1010,f1023,f1027,f1031,f1035,f1039,f1054,f1068,f1131,f1135,f1142,f1145,f1159,f1174,f1178,f1188,f1200,f1204,f1214,f1220,f1245,f1271,f1275,f1279,f1283,f1289,f1293,f1297,f1301,f1305,f1339,f1344,f1356,f1364,f1376,f1384,f1414,f1419,f1429,f1444])).
% 0.15/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.59/0.58 % Elapsed time: 0.195503 seconds
% 0.59/0.58 % CPU time: 1.251619 seconds
% 0.59/0.58 % Total memory used: 134.894 MB
% 0.59/0.58 % Net memory used: 133.528 MB
%------------------------------------------------------------------------------