%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC018-1 : 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 : n009.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 02:41:21 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC018-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:49:30 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f8,axiom,(
% 0.08/0.40 ssList(nil) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f60,axiom,(
% 0.08/0.40 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f61,axiom,(
% 0.08/0.40 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f74,axiom,(
% 0.08/0.40 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f83,axiom,(
% 0.08/0.40 (![U]: (( nil != U| ~ ssList(U)| frontsegP(nil,U) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f85,axiom,(
% 0.08/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f100,axiom,(
% 0.08/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f115,axiom,(
% 0.08/0.40 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f118,axiom,(
% 0.08/0.40 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f129,axiom,(
% 0.08/0.40 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f137,axiom,(
% 0.08/0.40 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f144,axiom,(
% 0.08/0.40 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f186,negated_conjecture,(
% 0.08/0.40 ssList(sk1) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f189,negated_conjecture,(
% 0.08/0.40 ssList(sk4) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f190,negated_conjecture,(
% 0.08/0.40 sk2 = sk4 ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f191,negated_conjecture,(
% 0.08/0.40 sk1 = sk3 ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f192,negated_conjecture,(
% 0.08/0.40 ssList(sk5) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f193,negated_conjecture,(
% 0.08/0.40 app(sk3,sk5) = sk4 ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f196,negated_conjecture,(
% 0.08/0.40 ( nil = sk4| nil != sk3 ) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f198,negated_conjecture,(
% 0.08/0.40 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f199,negated_conjecture,(
% 0.08/0.40 ( nil != sk1| neq(sk2,nil) ) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f208,plain,(
% 0.08/0.40 ssList(nil)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.40 fof(f260,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.08/0.40 fof(f261,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f61])).
% 0.08/0.40 fof(f275,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f74])).
% 0.08/0.40 fof(f284,plain,(
% 0.08/0.40 ![X0]: (~nil=X0|~ssList(X0)|frontsegP(nil,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.08/0.40 fof(f286,plain,(
% 0.08/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.08/0.40 fof(f303,plain,(
% 0.08/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.08/0.40 fof(f321,plain,(
% 0.08/0.40 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f115])).
% 0.08/0.40 fof(f322,plain,(
% 0.08/0.40 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f321])).
% 0.08/0.40 fof(f327,plain,(
% 0.08/0.40 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f118])).
% 0.08/0.40 fof(f328,plain,(
% 0.08/0.40 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f327])).
% 0.08/0.40 fof(f342,plain,(
% 0.08/0.40 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.40 fof(f352,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f137])).
% 0.08/0.40 fof(f360,plain,(
% 0.08/0.40 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f144])).
% 0.08/0.40 fof(f361,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f360])).
% 0.08/0.40 fof(f431,plain,(
% 0.08/0.40 ssList(sk1)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f186])).
% 0.08/0.40 fof(f434,plain,(
% 0.08/0.40 ssList(sk4)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.08/0.40 fof(f435,plain,(
% 0.08/0.40 sk2=sk4),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.08/0.40 fof(f436,plain,(
% 0.08/0.40 sk1=sk3),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.08/0.40 fof(f437,plain,(
% 0.08/0.40 ssList(sk5)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.08/0.40 fof(f438,plain,(
% 0.08/0.40 app(sk3,sk5)=sk4),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.08/0.40 fof(f442,plain,(
% 0.08/0.40 nil=sk4|~nil=sk3),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f196])).
% 0.08/0.40 fof(f444,plain,(
% 0.08/0.40 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f198])).
% 0.08/0.40 fof(f445,plain,(
% 0.08/0.40 ~nil=sk1|neq(sk2,nil)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f199])).
% 0.08/0.40 fof(f454,definition,(
% 0.08/0.40 sQ2_spl <=> (nil=sk4)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f455,plain,(
% 0.08/0.40 nil=sk4|~sQ2_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f454])).
% 0.08/0.40 fof(f457,definition,(
% 0.08/0.40 sQ3_spl <=> (nil=sk3)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f459,plain,(
% 0.08/0.40 ~nil=sk3|sQ3_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f457])).
% 0.08/0.40 fof(f460,plain,(
% 0.08/0.40 sQ2_spl|~sQ3_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f442,f454,f457])).
% 0.08/0.40 fof(f461,definition,(
% 0.08/0.40 sQ4_spl <=> (nil=sk2)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f462,plain,(
% 0.08/0.40 nil=sk2|~sQ4_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f461])).
% 0.08/0.40 fof(f464,definition,(
% 0.08/0.40 sQ5_spl <=> (neq(sk2,nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f465,plain,(
% 0.08/0.40 neq(sk2,nil)|~sQ5_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f464])).
% 0.08/0.40 fof(f468,definition,(
% 0.08/0.40 ![X0]: (sQ6_spl <=> (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f469,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)|~sQ6_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f468])).
% 0.08/0.40 fof(f471,plain,(
% 0.08/0.40 sQ4_spl|sQ6_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f444,f461,f468])).
% 0.08/0.40 fof(f472,definition,(
% 0.08/0.40 sQ7_spl <=> (nil=sk1)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f473,plain,(
% 0.08/0.40 nil=sk1|~sQ7_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f472])).
% 0.08/0.40 fof(f475,plain,(
% 0.08/0.40 ~sQ7_spl|sQ5_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f445,f472,f464])).
% 0.08/0.40 fof(f479,plain,(
% 0.08/0.40 ~ssList(nil)|frontsegP(nil,nil)),
% 0.08/0.40 inference(destructive_equality_resolution,[status(thm)],[f284])).
% 0.08/0.40 fof(f484,plain,(
% 0.08/0.40 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.08/0.40 inference(destructive_equality_resolution,[status(thm)],[f322])).
% 0.08/0.40 fof(f485,plain,(
% 0.08/0.40 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.08/0.40 inference(duplicate_literals_removal,[status(thm)],[f484])).
% 0.08/0.40 fof(f492,plain,(
% 0.08/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.08/0.40 inference(destructive_equality_resolution,[status(thm)],[f361])).
% 0.08/0.40 fof(f520,plain,(
% 0.08/0.40 nil=sk4|~sQ4_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f435,f462])).
% 0.08/0.40 fof(f521,plain,(
% 0.08/0.40 app(sk1,sk5)=sk4),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.08/0.40 fof(f555,definition,(
% 0.08/0.40 sQ8_spl <=> (ssList(sk4))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f557,plain,(
% 0.08/0.40 ~ssList(sk4)|sQ8_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f555])).
% 0.08/0.40 fof(f563,plain,(
% 0.08/0.40 neq(sk4,nil)|~sQ5_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f435,f465])).
% 0.08/0.40 fof(f564,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk1,X0)|~sQ6_spl)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f435,f469])).
% 0.08/0.40 fof(f565,definition,(
% 0.08/0.40 sQ10_spl <=> (ssList(nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f567,plain,(
% 0.08/0.40 ~ssList(nil)|sQ10_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f565])).
% 0.08/0.40 fof(f568,definition,(
% 0.08/0.40 sQ11_spl <=> (frontsegP(nil,nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f569,plain,(
% 0.08/0.40 frontsegP(nil,nil)|~sQ11_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f568])).
% 0.08/0.40 fof(f571,plain,(
% 0.08/0.40 ~sQ10_spl|sQ11_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f479,f565,f568])).
% 0.08/0.40 fof(f581,plain,(
% 0.08/0.40 neq(sk4,sk4)|~sQ2_spl|~sQ5_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f455,f563])).
% 0.08/0.40 fof(f583,plain,(
% 0.08/0.40 ~ssList(sk4)|~sQ2_spl|~sQ5_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f581,f485])).
% 0.08/0.40 fof(f584,plain,(
% 0.08/0.40 $false|~sQ2_spl|~sQ5_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f583,f434])).
% 0.08/0.40 fof(f585,plain,(
% 0.08/0.40 ~sQ2_spl|~sQ5_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f584])).
% 0.08/0.40 fof(f586,plain,(
% 0.08/0.40 $false|sQ8_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f557,f434])).
% 0.08/0.40 fof(f587,plain,(
% 0.08/0.40 sQ8_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f586])).
% 0.08/0.40 fof(f588,plain,(
% 0.08/0.40 ~nil=sk1|sQ3_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f436,f459])).
% 0.08/0.40 fof(f600,definition,(
% 0.08/0.40 sQ12_spl <=> (ssList(sk5))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f602,plain,(
% 0.08/0.40 ~ssList(sk5)|sQ12_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f600])).
% 0.08/0.40 fof(f603,definition,(
% 0.08/0.40 sQ13_spl <=> (ssList(sk1))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f605,plain,(
% 0.08/0.40 ~ssList(sk1)|sQ13_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f603])).
% 0.08/0.40 fof(f608,plain,(
% 0.08/0.40 ~ssList(sk1)|~neq(sk1,nil)|~frontsegP(sk4,sk1)|~ssList(sk1)|~sQ6_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f564,f261])).
% 0.08/0.40 fof(f616,definition,(
% 0.08/0.40 sQ16_spl <=> (neq(sk1,nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f618,plain,(
% 0.08/0.40 ~neq(sk1,nil)|sQ16_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f616])).
% 0.08/0.40 fof(f619,definition,(
% 0.08/0.40 sQ17_spl <=> (frontsegP(sk4,sk1))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f622,plain,(
% 0.08/0.40 ~sQ13_spl|~sQ16_spl|~sQ17_spl|~sQ6_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f608,f603,f616,f619,f468])).
% 0.08/0.40 fof(f623,plain,(
% 0.08/0.40 $false|sQ13_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f605,f431])).
% 0.08/0.40 fof(f624,plain,(
% 0.08/0.40 sQ13_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f623])).
% 0.08/0.40 fof(f625,plain,(
% 0.08/0.40 sQ2_spl|~sQ4_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f520,f454,f461])).
% 0.08/0.40 fof(f688,plain,(
% 0.08/0.40 ~sk4=nil|~ssList(sk5)|~ssList(sk1)|nil=sk1),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f521,f328])).
% 0.08/0.40 fof(f689,plain,(
% 0.08/0.40 ~sQ2_spl|~sQ12_spl|~sQ13_spl|sQ7_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f688,f454,f600,f603,f472])).
% 0.08/0.40 fof(f721,definition,(
% 0.08/0.40 sQ22_spl <=> (frontsegP(sk4,nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f722,plain,(
% 0.08/0.40 frontsegP(sk4,nil)|~sQ22_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f721])).
% 0.08/0.40 fof(f725,plain,(
% 0.08/0.40 $false|sQ10_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f567,f208])).
% 0.08/0.40 fof(f726,plain,(
% 0.08/0.40 sQ10_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f725])).
% 0.08/0.40 fof(f732,definition,(
% 0.08/0.40 sQ24_spl <=> (nil=nil)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f761,plain,(
% 0.08/0.40 app(nil,sk5)=sk5),
% 0.08/0.40 inference(resolution,[status(thm)],[f275,f437])).
% 0.08/0.40 fof(f762,plain,(
% 0.08/0.40 app(nil,sk4)=sk4),
% 0.08/0.40 inference(resolution,[status(thm)],[f275,f434])).
% 0.08/0.40 fof(f763,plain,(
% 0.08/0.40 app(nil,sk1)=sk1),
% 0.08/0.40 inference(resolution,[status(thm)],[f275,f431])).
% 0.08/0.40 fof(f780,plain,(
% 0.08/0.40 ~frontsegP(nil,nil)|~ssList(nil)|~ssList(nil)|nil=nil|~sQ11_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f342,f569])).
% 0.08/0.40 fof(f781,plain,(
% 0.08/0.40 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f342,f260])).
% 0.08/0.40 fof(f783,plain,(
% 0.08/0.40 ~sQ11_spl|~sQ10_spl|sQ24_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f780,f568,f565,f732])).
% 0.08/0.40 fof(f784,definition,(
% 0.08/0.40 ![X0]: (sQ25_spl <=> (~frontsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f787,plain,(
% 0.08/0.40 sQ25_spl|~sQ10_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f781,f784,f565])).
% 0.08/0.40 fof(f789,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|frontsegP(app(nil,X0),nil)|~sQ11_spl)),
% 0.08/0.40 inference(resolution,[status(thm)],[f352,f569])).
% 0.08/0.40 fof(f790,plain,(
% 0.08/0.40 ![X0,X1]: (~ssList(X0)|~ssList(nil)|~ssList(X1)|frontsegP(app(X1,X0),nil)|~ssList(X1))),
% 0.08/0.40 inference(resolution,[status(thm)],[f352,f260])).
% 0.08/0.40 fof(f792,definition,(
% 0.08/0.40 ![X0]: (sQ26_spl <=> (~ssList(X0)|frontsegP(app(nil,X0),nil)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f795,plain,(
% 0.08/0.40 sQ26_spl|~sQ10_spl|~sQ11_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f789,f792,f565,f568])).
% 0.08/0.40 fof(f796,definition,(
% 0.08/0.40 ![X0,X1]: (sQ27_spl <=> (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),nil)|~ssList(X1)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f799,plain,(
% 0.08/0.40 sQ27_spl|~sQ10_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f790,f796,f565])).
% 0.08/0.40 fof(f853,plain,(
% 0.08/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f492,f286])).
% 0.08/0.40 fof(f856,plain,(
% 0.08/0.40 ~ssList(sk1)|~ssList(nil)|frontsegP(sk1,nil)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f763,f853])).
% 0.08/0.40 fof(f857,plain,(
% 0.08/0.40 ~ssList(sk4)|~ssList(nil)|frontsegP(sk4,nil)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f762,f853])).
% 0.08/0.40 fof(f858,plain,(
% 0.08/0.40 ~ssList(sk5)|~ssList(nil)|frontsegP(sk5,nil)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f761,f853])).
% 0.08/0.40 fof(f860,plain,(
% 0.08/0.40 ~ssList(sk5)|~ssList(sk1)|frontsegP(sk4,sk1)),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f521,f853])).
% 0.08/0.40 fof(f865,definition,(
% 0.08/0.40 sQ28_spl <=> (frontsegP(sk1,nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f866,plain,(
% 0.08/0.40 frontsegP(sk1,nil)|~sQ28_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f865])).
% 0.08/0.40 fof(f868,plain,(
% 0.08/0.40 ~sQ13_spl|~sQ10_spl|sQ28_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f856,f603,f565,f865])).
% 0.08/0.40 fof(f869,plain,(
% 0.08/0.40 ~sQ8_spl|~sQ10_spl|sQ22_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f857,f555,f565,f721])).
% 0.08/0.40 fof(f870,definition,(
% 0.08/0.40 sQ29_spl <=> (frontsegP(sk5,nil))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f873,plain,(
% 0.08/0.40 ~sQ12_spl|~sQ10_spl|sQ29_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f858,f600,f565,f870])).
% 0.08/0.40 fof(f875,plain,(
% 0.08/0.40 ~sQ12_spl|~sQ13_spl|sQ17_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f860,f600,f603,f619])).
% 0.08/0.40 fof(f876,plain,(
% 0.08/0.40 $false|sQ12_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f602,f437])).
% 0.08/0.40 fof(f877,plain,(
% 0.08/0.40 sQ12_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f876])).
% 0.08/0.40 fof(f879,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|frontsegP(app(sk1,X0),nil)|~sQ28_spl)),
% 0.08/0.40 inference(resolution,[status(thm)],[f866,f352])).
% 0.08/0.40 fof(f882,definition,(
% 0.08/0.40 ![X0]: (sQ30_spl <=> (~ssList(X0)|frontsegP(app(sk1,X0),nil)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f885,plain,(
% 0.08/0.40 sQ30_spl|~sQ10_spl|~sQ13_spl|~sQ28_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f879,f882,f565,f603,f865])).
% 0.08/0.41 fof(f890,plain,(
% 0.08/0.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk4)|frontsegP(app(sk4,X0),nil)|~sQ22_spl)),
% 0.08/0.41 inference(resolution,[status(thm)],[f722,f352])).
% 0.08/0.41 fof(f892,definition,(
% 0.08/0.41 ![X0]: (sQ32_spl <=> (~ssList(X0)|frontsegP(app(sk4,X0),nil)))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f895,plain,(
% 0.08/0.41 sQ32_spl|~sQ10_spl|~sQ8_spl|~sQ22_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f890,f892,f565,f555,f721])).
% 0.08/0.41 fof(f901,plain,(
% 0.08/0.41 ~ssList(nil)|~ssList(sk1)|sk1=nil|sQ16_spl),
% 0.08/0.41 inference(resolution,[status(thm)],[f618,f303])).
% 0.08/0.41 fof(f906,plain,(
% 0.08/0.41 ~sQ10_spl|~sQ13_spl|sQ7_spl|sQ16_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f901,f565,f603,f472,f616])).
% 0.08/0.41 fof(f907,plain,(
% 0.08/0.41 $false|sQ3_spl|~sQ7_spl),
% 0.08/0.41 inference(forward_subsumption_resolution,[status(thm)],[f473,f588])).
% 0.08/0.41 fof(f908,plain,(
% 0.08/0.41 sQ3_spl|~sQ7_spl),
% 0.08/0.41 inference(contradiction_clause,[status(thm)],[f907])).
% 0.08/0.41 fof(f909,plain,(
% 0.08/0.41 $false),
% 0.08/0.41 inference(sat_refutation,[status(thm)],[f460,f471,f475,f571,f585,f587,f622,f624,f625,f689,f726,f783,f787,f795,f799,f868,f869,f873,f875,f877,f885,f895,f906,f908])).
% 0.08/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.44 % Elapsed time: 0.073891 seconds
% 0.08/0.44 % CPU time: 0.212077 seconds
% 0.08/0.44 % Total memory used: 69.882 MB
% 0.08/0.44 % Net memory used: 69.714 MB
%------------------------------------------------------------------------------