%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC057-1 : 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 : n004.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 02:41:28 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n004.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 07:52:04 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.27/0.84 % Refutation found
% 0.27/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.84 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.84 fof(f8,axiom,(
% 0.27/0.84 ssList(nil) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f50,axiom,(
% 0.27/0.84 (![U,V]: (ssList(skaf46(U,V)) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f51,axiom,(
% 0.27/0.84 (![U,V]: (ssList(skaf45(U,V)) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f56,axiom,(
% 0.27/0.84 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f57,axiom,(
% 0.27/0.84 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f59,axiom,(
% 0.27/0.84 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f60,axiom,(
% 0.27/0.84 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f73,axiom,(
% 0.27/0.84 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f74,axiom,(
% 0.27/0.84 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f80,axiom,(
% 0.27/0.84 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f84,axiom,(
% 0.27/0.84 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f85,axiom,(
% 0.27/0.84 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f115,axiom,(
% 0.27/0.84 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f127,axiom,(
% 0.27/0.84 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f129,axiom,(
% 0.27/0.84 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f131,axiom,(
% 0.27/0.84 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f132,axiom,(
% 0.27/0.84 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f137,axiom,(
% 0.27/0.84 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f144,axiom,(
% 0.27/0.84 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f152,axiom,(
% 0.27/0.84 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f154,axiom,(
% 0.27/0.84 (![U,V,W]: (( ~ frontsegP(U,V)| ~ frontsegP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(U,W) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f172,axiom,(
% 0.27/0.84 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f186,negated_conjecture,(
% 0.27/0.84 ssList(sk1) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f187,negated_conjecture,(
% 0.27/0.84 ssList(sk2) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f190,negated_conjecture,(
% 0.27/0.84 sk2 = sk4 ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f191,negated_conjecture,(
% 0.27/0.84 sk1 = sk3 ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f192,negated_conjecture,(
% 0.27/0.84 ( nil = sk2| neq(sk2,nil) ) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f193,negated_conjecture,(
% 0.27/0.84 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f194,negated_conjecture,(
% 0.27/0.84 ( nil != sk1| neq(sk2,nil) ) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f196,negated_conjecture,(
% 0.27/0.84 ( nil = sk4| neq(sk3,nil) ) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f199,negated_conjecture,(
% 0.27/0.84 ( nil = sk3| frontsegP(sk4,sk3) ) ),
% 0.27/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.84 fof(f207,plain,(
% 0.27/0.84 ssList(nil)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f8])).
% 0.27/0.84 fof(f249,plain,(
% 0.27/0.84 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f50])).
% 0.27/0.84 fof(f250,plain,(
% 0.27/0.84 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f51])).
% 0.27/0.84 fof(f255,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f56])).
% 0.27/0.84 fof(f256,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f57])).
% 0.27/0.84 fof(f258,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f59])).
% 0.27/0.84 fof(f259,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f60])).
% 0.27/0.84 fof(f273,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f73])).
% 0.27/0.84 fof(f274,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f74])).
% 0.27/0.84 fof(f280,plain,(
% 0.27/0.84 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f80])).
% 0.27/0.84 fof(f284,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f84])).
% 0.27/0.84 fof(f285,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f85])).
% 0.27/0.84 fof(f320,plain,(
% 0.27/0.84 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.27/0.84 inference(miniscoping,[status(thm)],[f115])).
% 0.27/0.84 fof(f321,plain,(
% 0.27/0.84 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f320])).
% 0.27/0.84 fof(f339,plain,(
% 0.27/0.84 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f127])).
% 0.27/0.84 fof(f341,plain,(
% 0.27/0.84 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f129])).
% 0.27/0.84 fof(f343,plain,(
% 0.27/0.84 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f131])).
% 0.27/0.84 fof(f344,plain,(
% 0.27/0.84 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f132])).
% 0.27/0.84 fof(f351,plain,(
% 0.27/0.84 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f137])).
% 0.27/0.84 fof(f359,plain,(
% 0.27/0.84 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.27/0.84 inference(miniscoping,[status(thm)],[f144])).
% 0.27/0.84 fof(f360,plain,(
% 0.27/0.84 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f359])).
% 0.27/0.84 fof(f373,plain,(
% 0.27/0.84 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.27/0.84 inference(miniscoping,[status(thm)],[f152])).
% 0.27/0.84 fof(f374,plain,(
% 0.27/0.84 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f373])).
% 0.27/0.84 fof(f377,plain,(
% 0.27/0.84 ![U,W]: (((![V]: (((~frontsegP(U,V)|~frontsegP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|frontsegP(U,W))),
% 0.27/0.84 inference(miniscoping,[status(thm)],[f154])).
% 0.27/0.84 fof(f378,plain,(
% 0.27/0.84 ![X0,X1,X2]: (~frontsegP(X0,X1)|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(X0,X2))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f377])).
% 0.27/0.84 fof(f404,plain,(
% 0.27/0.84 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f172])).
% 0.27/0.84 fof(f430,plain,(
% 0.27/0.84 ssList(sk1)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f186])).
% 0.27/0.84 fof(f431,plain,(
% 0.27/0.84 ssList(sk2)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f187])).
% 0.27/0.84 fof(f434,plain,(
% 0.27/0.84 sk2=sk4),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f190])).
% 0.27/0.84 fof(f435,plain,(
% 0.27/0.84 sk1=sk3),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f191])).
% 0.27/0.84 fof(f436,plain,(
% 0.27/0.84 nil=sk2|neq(sk2,nil)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f192])).
% 0.27/0.84 fof(f437,plain,(
% 0.27/0.84 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f193])).
% 0.27/0.84 fof(f438,plain,(
% 0.27/0.84 ~nil=sk1|neq(sk2,nil)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f194])).
% 0.27/0.84 fof(f440,plain,(
% 0.27/0.84 nil=sk4|neq(sk3,nil)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f196])).
% 0.27/0.84 fof(f443,plain,(
% 0.27/0.84 nil=sk3|frontsegP(sk4,sk3)),
% 0.27/0.84 inference(cnf_transformation,[status(thm)],[f199])).
% 0.27/0.84 fof(f451,definition,(
% 0.27/0.84 sQ2_spl <=> (nil=sk2)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f452,plain,(
% 0.27/0.84 nil=sk2|~sQ2_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f451])).
% 0.27/0.84 fof(f454,definition,(
% 0.27/0.84 sQ3_spl <=> (neq(sk2,nil))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f455,plain,(
% 0.27/0.84 neq(sk2,nil)|~sQ3_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f454])).
% 0.27/0.84 fof(f457,plain,(
% 0.27/0.84 sQ2_spl|sQ3_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f436,f451,f454])).
% 0.27/0.84 fof(f458,definition,(
% 0.27/0.84 ![X0]: (sQ4_spl <=> (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f459,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~sQ4_spl)),
% 0.27/0.84 inference(component_clause,[status(thm)],[f458])).
% 0.27/0.84 fof(f461,plain,(
% 0.27/0.84 sQ2_spl|sQ4_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f437,f451,f458])).
% 0.27/0.84 fof(f462,definition,(
% 0.27/0.84 sQ5_spl <=> (nil=sk1)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f463,plain,(
% 0.27/0.84 nil=sk1|~sQ5_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f462])).
% 0.27/0.84 fof(f464,plain,(
% 0.27/0.84 ~nil=sk1|sQ5_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f462])).
% 0.27/0.84 fof(f465,plain,(
% 0.27/0.84 ~sQ5_spl|sQ3_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f438,f462,f454])).
% 0.27/0.84 fof(f467,definition,(
% 0.27/0.84 sQ6_spl <=> (nil=sk4)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f468,plain,(
% 0.27/0.84 nil=sk4|~sQ6_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f467])).
% 0.27/0.84 fof(f470,definition,(
% 0.27/0.84 sQ7_spl <=> (neq(sk3,nil))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f471,plain,(
% 0.27/0.84 neq(sk3,nil)|~sQ7_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f470])).
% 0.27/0.84 fof(f473,plain,(
% 0.27/0.84 sQ6_spl|sQ7_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f440,f467,f470])).
% 0.27/0.84 fof(f474,definition,(
% 0.27/0.84 sQ8_spl <=> (frontsegP(sk4,sk3))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f475,plain,(
% 0.27/0.84 frontsegP(sk4,sk3)|~sQ8_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f474])).
% 0.27/0.84 fof(f478,definition,(
% 0.27/0.84 sQ9_spl <=> (nil=sk3)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f479,plain,(
% 0.27/0.84 nil=sk3|~sQ9_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f478])).
% 0.27/0.84 fof(f482,plain,(
% 0.27/0.84 sQ9_spl|sQ8_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f443,f478,f474])).
% 0.27/0.84 fof(f490,plain,(
% 0.27/0.84 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.27/0.84 inference(destructive_equality_resolution,[status(thm)],[f321])).
% 0.27/0.84 fof(f491,plain,(
% 0.27/0.84 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.27/0.84 inference(duplicate_literals_removal,[status(thm)],[f490])).
% 0.27/0.84 fof(f498,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.27/0.84 inference(destructive_equality_resolution,[status(thm)],[f360])).
% 0.27/0.84 fof(f514,plain,(
% 0.27/0.84 sk1=nil|~sQ9_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f479,f435])).
% 0.27/0.84 fof(f515,plain,(
% 0.27/0.84 sk2=nil|~sQ6_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f468,f434])).
% 0.27/0.84 fof(f517,plain,(
% 0.27/0.84 $false|sQ5_spl|~sQ9_spl),
% 0.27/0.84 inference(forward_subsumption_resolution,[status(thm)],[f514,f464])).
% 0.27/0.84 fof(f518,plain,(
% 0.27/0.84 sQ5_spl|~sQ9_spl),
% 0.27/0.84 inference(contradiction_clause,[status(thm)],[f517])).
% 0.27/0.84 fof(f519,plain,(
% 0.27/0.84 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.27/0.84 inference(resolution,[status(thm)],[f280,f255])).
% 0.27/0.84 fof(f521,definition,(
% 0.27/0.84 sQ10_spl <=> (ssList(nil))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f523,plain,(
% 0.27/0.84 ~ssList(nil)|sQ10_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f521])).
% 0.27/0.84 fof(f524,definition,(
% 0.27/0.84 sQ11_spl <=> (nil=nil)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f527,plain,(
% 0.27/0.84 ~sQ10_spl|sQ11_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f519,f521,f524])).
% 0.27/0.84 fof(f529,plain,(
% 0.27/0.84 $false|sQ10_spl),
% 0.27/0.84 inference(forward_subsumption_resolution,[status(thm)],[f523,f207])).
% 0.27/0.84 fof(f530,plain,(
% 0.27/0.84 sQ10_spl),
% 0.27/0.84 inference(contradiction_clause,[status(thm)],[f529])).
% 0.27/0.84 fof(f546,plain,(
% 0.27/0.84 app(sk2,nil)=sk2),
% 0.27/0.84 inference(resolution,[status(thm)],[f273,f431])).
% 0.27/0.84 fof(f547,plain,(
% 0.27/0.84 app(nil,nil)=nil),
% 0.27/0.84 inference(resolution,[status(thm)],[f273,f207])).
% 0.27/0.84 fof(f548,plain,(
% 0.27/0.84 app(sk1,nil)=sk1),
% 0.27/0.84 inference(resolution,[status(thm)],[f273,f430])).
% 0.27/0.84 fof(f549,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(sk2,X0)|~ssList(nil)|~ssList(X0)|~ssList(sk2)|frontsegP(sk2,X0))),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f546,f351])).
% 0.27/0.84 fof(f550,definition,(
% 0.27/0.84 ![X0]: (sQ12_spl <=> (~frontsegP(sk2,X0)|~ssList(X0)|frontsegP(sk2,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f553,definition,(
% 0.27/0.84 sQ13_spl <=> (ssList(sk2))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f555,plain,(
% 0.27/0.84 ~ssList(sk2)|sQ13_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f553])).
% 0.27/0.84 fof(f556,plain,(
% 0.27/0.84 sQ12_spl|~sQ10_spl|~sQ13_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f549,f550,f521,f553])).
% 0.27/0.84 fof(f557,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(sk1,X0)|~ssList(nil)|~ssList(X0)|~ssList(sk1)|frontsegP(sk1,X0))),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f548,f351])).
% 0.27/0.84 fof(f558,definition,(
% 0.27/0.84 ![X0]: (sQ14_spl <=> (~frontsegP(sk1,X0)|~ssList(X0)|frontsegP(sk1,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f561,definition,(
% 0.27/0.84 sQ15_spl <=> (ssList(sk1))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f563,plain,(
% 0.27/0.84 ~ssList(sk1)|sQ15_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f561])).
% 0.27/0.84 fof(f564,plain,(
% 0.27/0.84 sQ14_spl|~sQ10_spl|~sQ15_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f557,f558,f521,f561])).
% 0.27/0.84 fof(f565,plain,(
% 0.27/0.84 frontsegP(sk2,sk3)|~sQ8_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f434,f475])).
% 0.27/0.84 fof(f570,definition,(
% 0.27/0.84 ![X0]: (sQ16_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(nil,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f576,plain,(
% 0.27/0.84 frontsegP(sk2,sk1)|~sQ8_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f435,f565])).
% 0.27/0.84 fof(f577,plain,(
% 0.27/0.84 neq(sk1,nil)|~sQ7_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f435,f471])).
% 0.27/0.84 fof(f578,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|~ssList(nil)|frontsegP(nil,X0))),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f547,f351])).
% 0.27/0.84 fof(f579,plain,(
% 0.27/0.84 sQ16_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f578,f570,f521])).
% 0.27/0.84 fof(f582,plain,(
% 0.27/0.84 frontsegP(nil,sk1)|~sQ2_spl|~sQ8_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f452,f576])).
% 0.27/0.84 fof(f589,plain,(
% 0.27/0.84 ~ssList(sk1)|nil=sk1|~sQ2_spl|~sQ8_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f284,f582])).
% 0.27/0.84 fof(f592,plain,(
% 0.27/0.84 ~sQ15_spl|sQ5_spl|~sQ2_spl|~sQ8_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f589,f561,f462,f451,f474])).
% 0.27/0.84 fof(f595,plain,(
% 0.27/0.84 $false|sQ15_spl),
% 0.27/0.84 inference(forward_subsumption_resolution,[status(thm)],[f563,f430])).
% 0.27/0.84 fof(f596,plain,(
% 0.27/0.84 sQ15_spl),
% 0.27/0.84 inference(contradiction_clause,[status(thm)],[f595])).
% 0.27/0.84 fof(f601,plain,(
% 0.27/0.84 app(nil,sk2)=sk2),
% 0.27/0.84 inference(resolution,[status(thm)],[f274,f431])).
% 0.27/0.84 fof(f602,plain,(
% 0.27/0.84 app(nil,sk1)=sk1),
% 0.27/0.84 inference(resolution,[status(thm)],[f274,f430])).
% 0.27/0.84 fof(f610,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(nil,X0)|~ssList(sk2)|~ssList(X0)|~ssList(nil)|frontsegP(sk2,X0))),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f601,f351])).
% 0.27/0.84 fof(f611,definition,(
% 0.27/0.84 ![X0]: (sQ17_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(sk2,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f614,plain,(
% 0.27/0.84 sQ17_spl|~sQ13_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f610,f611,f553,f521])).
% 0.27/0.84 fof(f615,plain,(
% 0.27/0.84 $false|sQ13_spl),
% 0.27/0.84 inference(forward_subsumption_resolution,[status(thm)],[f555,f431])).
% 0.27/0.84 fof(f616,plain,(
% 0.27/0.84 sQ13_spl),
% 0.27/0.84 inference(contradiction_clause,[status(thm)],[f615])).
% 0.27/0.84 fof(f617,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(nil,X0)|~ssList(sk1)|~ssList(X0)|~ssList(nil)|frontsegP(sk1,X0))),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f602,f351])).
% 0.27/0.84 fof(f618,definition,(
% 0.27/0.84 ![X0]: (sQ18_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|frontsegP(sk1,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f621,plain,(
% 0.27/0.84 sQ18_spl|~sQ15_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f617,f618,f561,f521])).
% 0.27/0.84 fof(f636,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|~ssList(X0)|app(skaf46(X0,X0),X0)=X0|~ssList(X0))),
% 0.27/0.84 inference(resolution,[status(thm)],[f343,f258])).
% 0.27/0.84 fof(f637,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|app(skaf46(X0,X0),X0)=X0)),
% 0.27/0.84 inference(duplicate_literals_removal,[status(thm)],[f636])).
% 0.27/0.84 fof(f640,plain,(
% 0.27/0.84 neq(nil,nil)|~sQ6_spl|~sQ3_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f515,f455])).
% 0.27/0.84 fof(f644,plain,(
% 0.27/0.84 ~ssList(nil)|~sQ6_spl|~sQ3_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f640,f491])).
% 0.27/0.84 fof(f645,plain,(
% 0.27/0.84 ~sQ10_spl|~sQ6_spl|~sQ3_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f644,f521,f467,f454])).
% 0.27/0.84 fof(f650,plain,(
% 0.27/0.84 ~ssList(sk1)|~segmentP(sk2,sk1)|~segmentP(sk1,sk1)|~sQ4_spl|~sQ7_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f459,f577])).
% 0.27/0.84 fof(f651,definition,(
% 0.27/0.84 sQ19_spl <=> (segmentP(sk2,sk2))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f652,plain,(
% 0.27/0.84 segmentP(sk2,sk2)|~sQ19_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f651])).
% 0.27/0.84 fof(f653,plain,(
% 0.27/0.84 ~segmentP(sk2,sk2)|sQ19_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f651])).
% 0.27/0.84 fof(f658,definition,(
% 0.27/0.84 sQ21_spl <=> (segmentP(sk2,sk1))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f661,definition,(
% 0.27/0.84 sQ22_spl <=> (segmentP(sk1,sk1))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f662,plain,(
% 0.27/0.84 segmentP(sk1,sk1)|~sQ22_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f661])).
% 0.27/0.84 fof(f663,plain,(
% 0.27/0.84 ~segmentP(sk1,sk1)|sQ22_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f661])).
% 0.27/0.84 fof(f664,plain,(
% 0.27/0.84 ~sQ15_spl|~sQ21_spl|~sQ22_spl|~sQ4_spl|~sQ7_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f650,f561,f658,f661,f458,f470])).
% 0.27/0.84 fof(f665,plain,(
% 0.27/0.84 ~ssList(sk2)|sQ19_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f653,f256])).
% 0.27/0.84 fof(f666,plain,(
% 0.27/0.84 ~sQ13_spl|sQ19_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f665,f553,f651])).
% 0.27/0.84 fof(f682,plain,(
% 0.27/0.84 neq(nil,nil)|~sQ5_spl|~sQ7_spl),
% 0.27/0.84 inference(backward_demodulation,[status(thm)],[f463,f577])).
% 0.27/0.84 fof(f693,plain,(
% 0.27/0.84 ~ssList(nil)|~sQ5_spl|~sQ7_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f682,f491])).
% 0.27/0.84 fof(f694,plain,(
% 0.27/0.84 ~sQ10_spl|~sQ5_spl|~sQ7_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f693,f521,f462,f470])).
% 0.27/0.84 fof(f698,plain,(
% 0.27/0.84 ~ssList(sk1)|sQ22_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f663,f256])).
% 0.27/0.84 fof(f699,plain,(
% 0.27/0.84 ~sQ15_spl|sQ22_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f698,f561,f661])).
% 0.27/0.84 fof(f708,plain,(
% 0.27/0.84 app(skaf46(sk1,sk1),sk1)=sk1),
% 0.27/0.84 inference(resolution,[status(thm)],[f637,f430])).
% 0.27/0.84 fof(f719,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(skaf46(sk1,sk1),X0)|~ssList(sk1)|~ssList(X0)|~ssList(skaf46(sk1,sk1))|frontsegP(sk1,X0))),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f708,f351])).
% 0.27/0.84 fof(f720,definition,(
% 0.27/0.84 sQ23_spl <=> (ssList(skaf46(sk1,sk1)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f722,plain,(
% 0.27/0.84 ~ssList(skaf46(sk1,sk1))|sQ23_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f720])).
% 0.27/0.84 fof(f724,definition,(
% 0.27/0.84 ![X0]: (sQ24_spl <=> (~frontsegP(skaf46(sk1,sk1),X0)|~ssList(X0)|frontsegP(sk1,X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f727,plain,(
% 0.27/0.84 sQ24_spl|~sQ15_spl|~sQ23_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f719,f724,f561,f720])).
% 0.27/0.84 fof(f748,plain,(
% 0.27/0.84 ~ssList(sk1)|~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2|~sQ8_spl),
% 0.27/0.84 inference(resolution,[status(thm)],[f344,f576])).
% 0.27/0.84 fof(f750,plain,(
% 0.27/0.84 ![X0]: (~ssList(nil)|~ssList(X0)|app(nil,skaf45(X0,nil))=X0|~ssList(X0))),
% 0.27/0.84 inference(resolution,[status(thm)],[f344,f259])).
% 0.27/0.84 fof(f752,definition,(
% 0.27/0.84 sQ29_spl <=> (app(sk1,skaf45(sk2,sk1))=sk2)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f753,plain,(
% 0.27/0.84 app(sk1,skaf45(sk2,sk1))=sk2|~sQ29_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f752])).
% 0.27/0.84 fof(f755,plain,(
% 0.27/0.84 ~sQ15_spl|~sQ13_spl|sQ29_spl|~sQ8_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f748,f561,f553,f752,f474])).
% 0.27/0.84 fof(f758,definition,(
% 0.27/0.84 ![X0]: (sQ30_spl <=> (~ssList(X0)|app(nil,skaf45(X0,nil))=X0|~ssList(X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f761,plain,(
% 0.27/0.84 ~sQ10_spl|sQ30_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f750,f521,f758])).
% 0.27/0.84 fof(f792,definition,(
% 0.27/0.84 sQ31_spl <=> (ssList(skaf45(sk2,sk1)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f794,plain,(
% 0.27/0.84 ~ssList(skaf45(sk2,sk1))|sQ31_spl),
% 0.27/0.84 inference(component_clause,[status(thm)],[f792])).
% 0.27/0.84 fof(f800,plain,(
% 0.27/0.84 $false|sQ31_spl),
% 0.27/0.84 inference(forward_subsumption_resolution,[status(thm)],[f794,f250])).
% 0.27/0.84 fof(f801,plain,(
% 0.27/0.84 sQ31_spl),
% 0.27/0.84 inference(contradiction_clause,[status(thm)],[f800])).
% 0.27/0.84 fof(f870,plain,(
% 0.27/0.84 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.27/0.84 inference(resolution,[status(thm)],[f339,f255])).
% 0.27/0.84 fof(f872,definition,(
% 0.27/0.84 sQ39_spl <=> (sk1=sk1)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f876,definition,(
% 0.27/0.84 sQ40_spl <=> (sk2=sk2)),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f880,definition,(
% 0.27/0.84 ![X0]: (sQ41_spl <=> (~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f883,plain,(
% 0.27/0.84 sQ41_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f870,f880,f521])).
% 0.27/0.84 fof(f887,plain,(
% 0.27/0.84 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.27/0.84 inference(resolution,[status(thm)],[f341,f259])).
% 0.27/0.84 fof(f898,definition,(
% 0.27/0.84 ![X0]: (sQ44_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f901,plain,(
% 0.27/0.84 sQ44_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f887,f898,f521])).
% 0.27/0.84 fof(f991,plain,(
% 0.27/0.84 ![X0]: (~segmentP(X0,sk1)|~ssList(sk1)|~ssList(sk1)|~ssList(X0)|segmentP(X0,sk1)|~sQ22_spl)),
% 0.27/0.84 inference(resolution,[status(thm)],[f374,f662])).
% 0.27/0.84 fof(f992,plain,(
% 0.27/0.84 ![X0]: (~segmentP(X0,sk2)|~ssList(sk2)|~ssList(sk2)|~ssList(X0)|segmentP(X0,sk2)|~sQ19_spl)),
% 0.27/0.84 inference(resolution,[status(thm)],[f374,f652])).
% 0.27/0.84 fof(f993,plain,(
% 0.27/0.84 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.27/0.84 inference(resolution,[status(thm)],[f374,f255])).
% 0.27/0.84 fof(f998,plain,(
% 0.27/0.84 ![X0,X1]: (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~ssList(X1)|nil=X1)),
% 0.27/0.84 inference(resolution,[status(thm)],[f374,f280])).
% 0.27/0.84 fof(f1001,definition,(
% 0.27/0.84 ![X0]: (sQ45_spl <=> (~segmentP(X0,sk1)|~ssList(X0)|segmentP(X0,sk1)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1004,plain,(
% 0.27/0.84 sQ45_spl|~sQ15_spl|~sQ22_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f991,f1001,f561,f661])).
% 0.27/0.84 fof(f1005,definition,(
% 0.27/0.84 ![X0]: (sQ46_spl <=> (~segmentP(X0,sk2)|~ssList(X0)|segmentP(X0,sk2)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1008,plain,(
% 0.27/0.84 sQ46_spl|~sQ13_spl|~sQ19_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f992,f1005,f553,f651])).
% 0.27/0.84 fof(f1009,definition,(
% 0.27/0.84 ![X0,X1]: (sQ47_spl <=> (~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1012,plain,(
% 0.27/0.84 sQ47_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f993,f1009,f521])).
% 0.27/0.84 fof(f1022,definition,(
% 0.27/0.84 ![X0,X1]: (sQ50_spl <=> (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1025,plain,(
% 0.27/0.84 sQ50_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f998,f1022,f521])).
% 0.27/0.84 fof(f1033,plain,(
% 0.27/0.84 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|frontsegP(X0,nil)|~ssList(X1))),
% 0.27/0.84 inference(resolution,[status(thm)],[f378,f259])).
% 0.27/0.84 fof(f1037,plain,(
% 0.27/0.84 ![X0,X1]: (~frontsegP(nil,X0)|~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~ssList(X1)|nil=X1)),
% 0.27/0.84 inference(resolution,[status(thm)],[f378,f284])).
% 0.27/0.84 fof(f1047,definition,(
% 0.27/0.84 ![X0,X1]: (sQ52_spl <=> (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|frontsegP(X0,nil)|~ssList(X1)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1050,plain,(
% 0.27/0.84 sQ52_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f1033,f1047,f521])).
% 0.27/0.84 fof(f1056,definition,(
% 0.27/0.84 ![X0,X1]: (sQ54_spl <=> (~frontsegP(nil,X0)|~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1059,plain,(
% 0.27/0.84 sQ54_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f1037,f1056,f521])).
% 0.27/0.84 fof(f1220,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.27/0.84 inference(forward_subsumption_resolution,[status(thm)],[f498,f285])).
% 0.27/0.84 fof(f1223,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|frontsegP(app(sk2,X0),sk2))),
% 0.27/0.84 inference(resolution,[status(thm)],[f1220,f431])).
% 0.27/0.84 fof(f1224,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|frontsegP(app(sk1,X0),sk1))),
% 0.27/0.84 inference(resolution,[status(thm)],[f1220,f430])).
% 0.27/0.84 fof(f1232,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|frontsegP(app(nil,X0),nil))),
% 0.27/0.84 inference(resolution,[status(thm)],[f1220,f207])).
% 0.27/0.84 fof(f1233,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk2)|~ssList(sk2)|segmentP(app(app(X1,sk2),X0),sk2)|~sQ19_spl)),
% 0.27/0.84 inference(resolution,[status(thm)],[f404,f652])).
% 0.27/0.84 fof(f1234,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk1)|~ssList(sk1)|segmentP(app(app(X1,sk1),X0),sk1)|~sQ22_spl)),
% 0.27/0.84 inference(resolution,[status(thm)],[f404,f662])).
% 0.27/0.84 fof(f1235,plain,(
% 0.27/0.84 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(X2)|segmentP(app(app(X1,X2),X0),nil)|~ssList(X2))),
% 0.27/0.84 inference(resolution,[status(thm)],[f404,f255])).
% 0.27/0.84 fof(f1238,definition,(
% 0.27/0.84 ![X0,X1]: (sQ55_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk2),X0),sk2)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1241,plain,(
% 0.27/0.84 sQ55_spl|~sQ13_spl|~sQ19_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f1233,f1238,f553,f651])).
% 0.27/0.84 fof(f1242,definition,(
% 0.27/0.84 ![X0,X1]: (sQ56_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk1),X0),sk1)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1243,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,sk1),X0),sk1)|~sQ56_spl)),
% 0.27/0.84 inference(component_clause,[status(thm)],[f1242])).
% 0.27/0.84 fof(f1245,plain,(
% 0.27/0.84 sQ56_spl|~sQ15_spl|~sQ22_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f1234,f1242,f561,f661])).
% 0.27/0.84 fof(f1246,definition,(
% 0.27/0.84 ![X0,X1,X2]: (sQ57_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),nil)|~ssList(X2)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1249,plain,(
% 0.27/0.84 sQ57_spl|~sQ10_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f1235,f1246,f521])).
% 0.27/0.84 fof(f1253,plain,(
% 0.27/0.84 ![X0,X1]: (~ssList(X0)|~frontsegP(X1,app(sk2,X0))|~ssList(sk2)|~ssList(app(sk2,X0))|~ssList(X1)|frontsegP(X1,sk2))),
% 0.27/0.84 inference(resolution,[status(thm)],[f1223,f378])).
% 0.27/0.84 fof(f1254,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|~frontsegP(sk2,app(sk2,X0))|~ssList(sk2)|~ssList(app(sk2,X0))|app(sk2,X0)=sk2)),
% 0.27/0.84 inference(resolution,[status(thm)],[f1223,f341])).
% 0.27/0.84 fof(f1255,plain,(
% 0.27/0.84 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(app(sk2,X0))|app(sk2,skaf45(app(sk2,X0),sk2))=app(sk2,X0))),
% 0.27/0.84 inference(resolution,[status(thm)],[f1223,f344])).
% 0.27/0.84 fof(f1257,plain,(
% 0.27/0.84 ~ssList(nil)|frontsegP(sk2,sk2)),
% 0.27/0.84 inference(paramodulation,[status(thm)],[f546,f1223])).
% 0.27/0.84 fof(f1258,definition,(
% 0.27/0.84 ![X0,X1]: (sQ58_spl <=> (~ssList(X0)|~frontsegP(X1,app(sk2,X0))|~ssList(app(sk2,X0))|~ssList(X1)|frontsegP(X1,sk2)))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.27/0.84 fof(f1261,plain,(
% 0.27/0.84 sQ58_spl|~sQ13_spl),
% 0.27/0.84 inference(split_clause,[status(thm)],[f1253,f1258,f553])).
% 0.27/0.84 fof(f1262,definition,(
% 0.27/0.84 ![X0]: (sQ59_spl <=> (~ssList(X0)|~frontsegP(sk2,app(sk2,X0))|~ssList(app(sk2,X0))|app(sk2,X0)=sk2))),
% 0.27/0.84 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1265,plain,(
% 0.27/0.86 sQ59_spl|~sQ13_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1254,f1262,f553])).
% 0.27/0.86 fof(f1266,definition,(
% 0.27/0.86 ![X0]: (sQ60_spl <=> (~ssList(X0)|~ssList(app(sk2,X0))|app(sk2,skaf45(app(sk2,X0),sk2))=app(sk2,X0)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1269,plain,(
% 0.27/0.86 sQ60_spl|~sQ13_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1255,f1266,f553])).
% 0.27/0.86 fof(f1270,definition,(
% 0.27/0.86 sQ61_spl <=> (frontsegP(sk2,sk2))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1271,plain,(
% 0.27/0.86 frontsegP(sk2,sk2)|~sQ61_spl),
% 0.27/0.86 inference(component_clause,[status(thm)],[f1270])).
% 0.27/0.86 fof(f1274,plain,(
% 0.27/0.86 ~sQ10_spl|sQ61_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1257,f521,f1270])).
% 0.27/0.86 fof(f1275,plain,(
% 0.27/0.86 ![X0]: (~frontsegP(X0,sk2)|~ssList(sk2)|~ssList(sk2)|~ssList(X0)|frontsegP(X0,sk2)|~sQ61_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1271,f378])).
% 0.27/0.86 fof(f1276,plain,(
% 0.27/0.86 ~frontsegP(sk2,sk2)|~ssList(sk2)|~ssList(sk2)|sk2=sk2|~sQ61_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1271,f341])).
% 0.27/0.86 fof(f1277,plain,(
% 0.27/0.86 ~ssList(sk2)|~ssList(sk2)|app(sk2,skaf45(sk2,sk2))=sk2|~sQ61_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1271,f344])).
% 0.27/0.86 fof(f1278,definition,(
% 0.27/0.86 ![X0]: (sQ62_spl <=> (~frontsegP(X0,sk2)|~ssList(X0)|frontsegP(X0,sk2)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1281,plain,(
% 0.27/0.86 sQ62_spl|~sQ13_spl|~sQ61_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1275,f1278,f553,f1270])).
% 0.27/0.86 fof(f1282,plain,(
% 0.27/0.86 ~sQ61_spl|~sQ13_spl|sQ40_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1276,f1270,f553,f876])).
% 0.27/0.86 fof(f1283,definition,(
% 0.27/0.86 sQ63_spl <=> (app(sk2,skaf45(sk2,sk2))=sk2)),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1286,plain,(
% 0.27/0.86 ~sQ13_spl|sQ63_spl|~sQ61_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1277,f553,f1283,f1270])).
% 0.27/0.86 fof(f1287,plain,(
% 0.27/0.86 ![X0,X1]: (~ssList(X0)|~frontsegP(X1,app(sk1,X0))|~ssList(sk1)|~ssList(app(sk1,X0))|~ssList(X1)|frontsegP(X1,sk1))),
% 0.27/0.86 inference(resolution,[status(thm)],[f1224,f378])).
% 0.27/0.86 fof(f1288,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|~frontsegP(sk1,app(sk1,X0))|~ssList(sk1)|~ssList(app(sk1,X0))|app(sk1,X0)=sk1)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1224,f341])).
% 0.27/0.86 fof(f1289,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|~ssList(sk1)|~ssList(app(sk1,X0))|app(sk1,skaf45(app(sk1,X0),sk1))=app(sk1,X0))),
% 0.27/0.86 inference(resolution,[status(thm)],[f1224,f344])).
% 0.27/0.86 fof(f1292,plain,(
% 0.27/0.86 ~ssList(nil)|frontsegP(sk1,sk1)),
% 0.27/0.86 inference(paramodulation,[status(thm)],[f548,f1224])).
% 0.27/0.86 fof(f1293,definition,(
% 0.27/0.86 ![X0,X1]: (sQ64_spl <=> (~ssList(X0)|~frontsegP(X1,app(sk1,X0))|~ssList(app(sk1,X0))|~ssList(X1)|frontsegP(X1,sk1)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1296,plain,(
% 0.27/0.86 sQ64_spl|~sQ15_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1287,f1293,f561])).
% 0.27/0.86 fof(f1297,definition,(
% 0.27/0.86 ![X0]: (sQ65_spl <=> (~ssList(X0)|~frontsegP(sk1,app(sk1,X0))|~ssList(app(sk1,X0))|app(sk1,X0)=sk1))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1300,plain,(
% 0.27/0.86 sQ65_spl|~sQ15_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1288,f1297,f561])).
% 0.27/0.86 fof(f1301,definition,(
% 0.27/0.86 ![X0]: (sQ66_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|app(sk1,skaf45(app(sk1,X0),sk1))=app(sk1,X0)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1304,plain,(
% 0.27/0.86 sQ66_spl|~sQ15_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1289,f1301,f561])).
% 0.27/0.86 fof(f1309,definition,(
% 0.27/0.86 sQ68_spl <=> (frontsegP(sk1,sk1))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1310,plain,(
% 0.27/0.86 frontsegP(sk1,sk1)|~sQ68_spl),
% 0.27/0.86 inference(component_clause,[status(thm)],[f1309])).
% 0.27/0.86 fof(f1313,plain,(
% 0.27/0.86 ~sQ10_spl|sQ68_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1292,f521,f1309])).
% 0.27/0.86 fof(f1314,plain,(
% 0.27/0.86 ![X0]: (~frontsegP(X0,sk1)|~ssList(sk1)|~ssList(sk1)|~ssList(X0)|frontsegP(X0,sk1)|~sQ68_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1310,f378])).
% 0.27/0.86 fof(f1315,plain,(
% 0.27/0.86 ~frontsegP(sk1,sk1)|~ssList(sk1)|~ssList(sk1)|sk1=sk1|~sQ68_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1310,f341])).
% 0.27/0.86 fof(f1316,plain,(
% 0.27/0.86 ~ssList(sk1)|~ssList(sk1)|app(sk1,skaf45(sk1,sk1))=sk1|~sQ68_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1310,f344])).
% 0.27/0.86 fof(f1317,definition,(
% 0.27/0.86 ![X0]: (sQ69_spl <=> (~frontsegP(X0,sk1)|~ssList(X0)|frontsegP(X0,sk1)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1320,plain,(
% 0.27/0.86 sQ69_spl|~sQ15_spl|~sQ68_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1314,f1317,f561,f1309])).
% 0.27/0.86 fof(f1321,plain,(
% 0.27/0.86 ~sQ68_spl|~sQ15_spl|sQ39_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1315,f1309,f561,f872])).
% 0.27/0.86 fof(f1322,definition,(
% 0.27/0.86 sQ70_spl <=> (app(sk1,skaf45(sk1,sk1))=sk1)),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1325,plain,(
% 0.27/0.86 ~sQ15_spl|sQ70_spl|~sQ68_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1316,f561,f1322,f1309])).
% 0.27/0.86 fof(f1326,plain,(
% 0.27/0.86 ![X0,X1]: (~ssList(X0)|~frontsegP(X1,app(nil,X0))|~ssList(nil)|~ssList(app(nil,X0))|~ssList(X1)|frontsegP(X1,nil))),
% 0.27/0.86 inference(resolution,[status(thm)],[f1232,f378])).
% 0.27/0.86 fof(f1327,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|~frontsegP(nil,app(nil,X0))|~ssList(nil)|~ssList(app(nil,X0))|app(nil,X0)=nil)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1232,f341])).
% 0.27/0.86 fof(f1328,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|app(nil,skaf45(app(nil,X0),nil))=app(nil,X0))),
% 0.27/0.86 inference(resolution,[status(thm)],[f1232,f344])).
% 0.27/0.86 fof(f1329,plain,(
% 0.27/0.86 ~ssList(sk2)|frontsegP(sk2,nil)),
% 0.27/0.86 inference(paramodulation,[status(thm)],[f601,f1232])).
% 0.27/0.86 fof(f1333,plain,(
% 0.27/0.86 ~ssList(sk1)|frontsegP(sk1,nil)),
% 0.27/0.86 inference(paramodulation,[status(thm)],[f602,f1232])).
% 0.27/0.86 fof(f1334,plain,(
% 0.27/0.86 ~ssList(nil)|frontsegP(nil,nil)),
% 0.27/0.86 inference(paramodulation,[status(thm)],[f547,f1232])).
% 0.27/0.86 fof(f1335,definition,(
% 0.27/0.86 ![X0,X1]: (sQ71_spl <=> (~ssList(X0)|~frontsegP(X1,app(nil,X0))|~ssList(app(nil,X0))|~ssList(X1)|frontsegP(X1,nil)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1338,plain,(
% 0.27/0.86 sQ71_spl|~sQ10_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1326,f1335,f521])).
% 0.27/0.86 fof(f1339,definition,(
% 0.27/0.86 ![X0]: (sQ72_spl <=> (~ssList(X0)|~frontsegP(nil,app(nil,X0))|~ssList(app(nil,X0))|app(nil,X0)=nil))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1342,plain,(
% 0.27/0.86 sQ72_spl|~sQ10_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1327,f1339,f521])).
% 0.27/0.86 fof(f1343,definition,(
% 0.27/0.86 ![X0]: (sQ73_spl <=> (~ssList(X0)|~ssList(app(nil,X0))|app(nil,skaf45(app(nil,X0),nil))=app(nil,X0)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1346,plain,(
% 0.27/0.86 sQ73_spl|~sQ10_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1328,f1343,f521])).
% 0.27/0.86 fof(f1347,definition,(
% 0.27/0.86 sQ74_spl <=> (frontsegP(sk2,nil))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1348,plain,(
% 0.27/0.86 frontsegP(sk2,nil)|~sQ74_spl),
% 0.27/0.86 inference(component_clause,[status(thm)],[f1347])).
% 0.27/0.86 fof(f1350,plain,(
% 0.27/0.86 ~sQ13_spl|sQ74_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1329,f553,f1347])).
% 0.27/0.86 fof(f1352,definition,(
% 0.27/0.86 sQ75_spl <=> (frontsegP(sk1,nil))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1353,plain,(
% 0.27/0.86 frontsegP(sk1,nil)|~sQ75_spl),
% 0.27/0.86 inference(component_clause,[status(thm)],[f1352])).
% 0.27/0.86 fof(f1356,definition,(
% 0.27/0.86 sQ76_spl <=> (frontsegP(nil,nil))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1357,plain,(
% 0.27/0.86 frontsegP(nil,nil)|~sQ76_spl),
% 0.27/0.86 inference(component_clause,[status(thm)],[f1356])).
% 0.27/0.86 fof(f1360,plain,(
% 0.27/0.86 ~sQ15_spl|sQ75_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1333,f561,f1352])).
% 0.27/0.86 fof(f1361,plain,(
% 0.27/0.86 ~sQ10_spl|sQ76_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1334,f521,f1356])).
% 0.27/0.86 fof(f1363,plain,(
% 0.27/0.86 ![X0]: (~frontsegP(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|frontsegP(X0,nil)|~sQ76_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1357,f378])).
% 0.27/0.86 fof(f1365,plain,(
% 0.27/0.86 ~ssList(nil)|~ssList(nil)|app(nil,skaf45(nil,nil))=nil|~sQ76_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1357,f344])).
% 0.27/0.86 fof(f1367,definition,(
% 0.27/0.86 ![X0]: (sQ77_spl <=> (~frontsegP(X0,nil)|~ssList(X0)|frontsegP(X0,nil)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1370,plain,(
% 0.27/0.86 sQ77_spl|~sQ10_spl|~sQ76_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1363,f1367,f521,f1356])).
% 0.27/0.86 fof(f1372,definition,(
% 0.27/0.86 sQ78_spl <=> (app(nil,skaf45(nil,nil))=nil)),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1375,plain,(
% 0.27/0.86 ~sQ10_spl|sQ78_spl|~sQ76_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1365,f521,f1372,f1356])).
% 0.27/0.86 fof(f1376,plain,(
% 0.27/0.86 ![X0]: (~frontsegP(X0,sk1)|~ssList(nil)|~ssList(sk1)|~ssList(X0)|frontsegP(X0,nil)|~sQ75_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1353,f378])).
% 0.27/0.86 fof(f1378,plain,(
% 0.27/0.86 ~ssList(nil)|~ssList(sk1)|app(nil,skaf45(sk1,nil))=sk1|~sQ75_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1353,f344])).
% 0.27/0.86 fof(f1379,definition,(
% 0.27/0.86 ![X0]: (sQ79_spl <=> (~frontsegP(X0,sk1)|~ssList(X0)|frontsegP(X0,nil)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1382,plain,(
% 0.27/0.86 sQ79_spl|~sQ10_spl|~sQ15_spl|~sQ75_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1376,f1379,f521,f561,f1352])).
% 0.27/0.86 fof(f1387,definition,(
% 0.27/0.86 sQ81_spl <=> (app(nil,skaf45(sk1,nil))=sk1)),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1390,plain,(
% 0.27/0.86 ~sQ10_spl|~sQ15_spl|sQ81_spl|~sQ75_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1378,f521,f561,f1387,f1352])).
% 0.27/0.86 fof(f1391,plain,(
% 0.27/0.86 ![X0]: (~frontsegP(X0,sk2)|~ssList(nil)|~ssList(sk2)|~ssList(X0)|frontsegP(X0,nil)|~sQ74_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1348,f378])).
% 0.27/0.86 fof(f1393,plain,(
% 0.27/0.86 ~ssList(nil)|~ssList(sk2)|app(nil,skaf45(sk2,nil))=sk2|~sQ74_spl),
% 0.27/0.86 inference(resolution,[status(thm)],[f1348,f344])).
% 0.27/0.86 fof(f1394,definition,(
% 0.27/0.86 ![X0]: (sQ82_spl <=> (~frontsegP(X0,sk2)|~ssList(X0)|frontsegP(X0,nil)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1397,plain,(
% 0.27/0.86 sQ82_spl|~sQ10_spl|~sQ13_spl|~sQ74_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1391,f1394,f521,f553,f1347])).
% 0.27/0.86 fof(f1402,definition,(
% 0.27/0.86 sQ84_spl <=> (app(nil,skaf45(sk2,nil))=sk2)),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1405,plain,(
% 0.27/0.86 ~sQ10_spl|~sQ13_spl|sQ84_spl|~sQ74_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1393,f521,f553,f1402,f1347])).
% 0.27/0.86 fof(f1416,plain,(
% 0.27/0.86 ![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)|~sQ56_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1243,f404])).
% 0.27/0.86 fof(f1417,plain,(
% 0.27/0.86 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~segmentP(X2,app(app(X1,sk1),X0))|~ssList(sk1)|~ssList(app(app(X1,sk1),X0))|~ssList(X2)|segmentP(X2,sk1)|~sQ56_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1243,f374])).
% 0.27/0.86 fof(f1418,plain,(
% 0.27/0.86 ![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|~sQ56_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1243,f339])).
% 0.27/0.86 fof(f1419,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|~ssList(skaf46(sk1,sk1))|segmentP(app(sk1,X0),sk1)|~sQ56_spl)),
% 0.27/0.86 inference(paramodulation,[status(thm)],[f708,f1243])).
% 0.27/0.86 fof(f1421,definition,(
% 0.27/0.86 ![X0,X1,X2,X3]: (sQ87_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)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1424,plain,(
% 0.27/0.86 sQ87_spl|~sQ15_spl|~sQ56_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1416,f1421,f561,f1242])).
% 0.27/0.86 fof(f1425,definition,(
% 0.27/0.86 ![X0,X1,X2]: (sQ88_spl <=> (~ssList(X0)|~ssList(X1)|~segmentP(X2,app(app(X1,sk1),X0))|~ssList(app(app(X1,sk1),X0))|~ssList(X2)|segmentP(X2,sk1)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1428,plain,(
% 0.27/0.86 sQ88_spl|~sQ15_spl|~sQ56_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1417,f1425,f561,f1242])).
% 0.27/0.86 fof(f1429,definition,(
% 0.27/0.86 ![X0,X1]: (sQ89_spl <=> (~ssList(X0)|~ssList(X1)|~segmentP(sk1,app(app(X1,sk1),X0))|~ssList(app(app(X1,sk1),X0))|app(app(X1,sk1),X0)=sk1))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1432,plain,(
% 0.27/0.86 sQ89_spl|~sQ15_spl|~sQ56_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1418,f1429,f561,f1242])).
% 0.27/0.86 fof(f1433,definition,(
% 0.27/0.86 ![X0]: (sQ90_spl <=> (~ssList(X0)|segmentP(app(sk1,X0),sk1)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1434,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~sQ90_spl)),
% 0.27/0.86 inference(component_clause,[status(thm)],[f1433])).
% 0.27/0.86 fof(f1436,plain,(
% 0.27/0.86 sQ90_spl|~sQ23_spl|~sQ56_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1419,f1433,f720,f1242])).
% 0.27/0.86 fof(f1438,plain,(
% 0.27/0.86 $false|sQ23_spl),
% 0.27/0.86 inference(forward_subsumption_resolution,[status(thm)],[f722,f249])).
% 0.27/0.86 fof(f1439,plain,(
% 0.27/0.86 sQ23_spl),
% 0.27/0.86 inference(contradiction_clause,[status(thm)],[f1438])).
% 0.27/0.86 fof(f1440,plain,(
% 0.27/0.86 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(X2,app(sk1,X0)),X1),sk1)|~sQ90_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1434,f404])).
% 0.27/0.86 fof(f1441,plain,(
% 0.27/0.86 ![X0,X1]: (~ssList(X0)|~segmentP(X1,app(sk1,X0))|~ssList(sk1)|~ssList(app(sk1,X0))|~ssList(X1)|segmentP(X1,sk1)|~sQ90_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1434,f374])).
% 0.27/0.86 fof(f1442,plain,(
% 0.27/0.86 ![X0]: (~ssList(X0)|~segmentP(sk1,app(sk1,X0))|~ssList(sk1)|~ssList(app(sk1,X0))|app(sk1,X0)=sk1|~sQ90_spl)),
% 0.27/0.86 inference(resolution,[status(thm)],[f1434,f339])).
% 0.27/0.86 fof(f1443,plain,(
% 0.27/0.86 ~ssList(skaf45(sk2,sk1))|segmentP(sk2,sk1)|~sQ90_spl|~sQ29_spl),
% 0.27/0.86 inference(paramodulation,[status(thm)],[f753,f1434])).
% 0.27/0.86 fof(f1446,definition,(
% 0.27/0.86 ![X0,X1,X2]: (sQ91_spl <=> (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(sk1,X0))|segmentP(app(app(X2,app(sk1,X0)),X1),sk1)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1449,plain,(
% 0.27/0.86 sQ91_spl|~sQ15_spl|~sQ90_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1440,f1446,f561,f1433])).
% 0.27/0.86 fof(f1450,definition,(
% 0.27/0.86 ![X0,X1]: (sQ92_spl <=> (~ssList(X0)|~segmentP(X1,app(sk1,X0))|~ssList(app(sk1,X0))|~ssList(X1)|segmentP(X1,sk1)))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1453,plain,(
% 0.27/0.86 sQ92_spl|~sQ15_spl|~sQ90_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1441,f1450,f561,f1433])).
% 0.27/0.86 fof(f1454,definition,(
% 0.27/0.86 ![X0]: (sQ93_spl <=> (~ssList(X0)|~segmentP(sk1,app(sk1,X0))|~ssList(app(sk1,X0))|app(sk1,X0)=sk1))),
% 0.27/0.86 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.27/0.86 fof(f1457,plain,(
% 0.27/0.86 sQ93_spl|~sQ15_spl|~sQ90_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1442,f1454,f561,f1433])).
% 0.27/0.86 fof(f1458,plain,(
% 0.27/0.86 ~sQ31_spl|sQ21_spl|~sQ90_spl|~sQ29_spl),
% 0.27/0.86 inference(split_clause,[status(thm)],[f1443,f792,f658,f1433,f752])).
% 0.27/0.86 fof(f1461,plain,(
% 0.27/0.86 $false),
% 0.27/0.86 inference(sat_refutation,[status(thm)],[f457,f461,f465,f473,f482,f518,f527,f530,f556,f564,f579,f592,f596,f614,f616,f621,f645,f664,f666,f694,f699,f727,f755,f761,f801,f883,f901,f1004,f1008,f1012,f1025,f1050,f1059,f1241,f1245,f1249,f1261,f1265,f1269,f1274,f1281,f1282,f1286,f1296,f1300,f1304,f1313,f1320,f1321,f1325,f1338,f1342,f1346,f1350,f1360,f1361,f1370,f1375,f1382,f1390,f1397,f1405,f1424,f1428,f1432,f1436,f1439,f1449,f1453,f1457,f1458])).
% 0.27/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.89 % Elapsed time: 0.428791 seconds
% 0.27/0.89 % CPU time: 2.778476 seconds
% 0.27/0.89 % Total memory used: 141.767 MB
% 0.27/0.89 % Net memory used: 139.733 MB
%------------------------------------------------------------------------------