%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC016-1 : 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 : n020.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 02:41:20 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC016-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n020.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 07:50:24 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.39 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.41 fof(f8,axiom,(
% 0.13/5.41 ssList(nil) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f60,axiom,(
% 0.13/5.41 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f61,axiom,(
% 0.13/5.41 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f83,axiom,(
% 0.13/5.41 (![U]: (( nil != U| ~ ssList(U)| frontsegP(nil,U) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f84,axiom,(
% 0.13/5.41 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f115,axiom,(
% 0.13/5.41 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f129,axiom,(
% 0.13/5.41 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f137,axiom,(
% 0.13/5.41 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f188,negated_conjecture,(
% 0.13/5.41 ssList(sk3) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f189,negated_conjecture,(
% 0.13/5.41 ssList(sk4) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f190,negated_conjecture,(
% 0.13/5.41 sk2 = sk4 ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f191,negated_conjecture,(
% 0.13/5.41 sk1 = sk3 ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f192,negated_conjecture,(
% 0.13/5.41 ( nil = sk3| nil != sk4 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f193,negated_conjecture,(
% 0.13/5.41 ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f194,negated_conjecture,(
% 0.13/5.41 ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f195,negated_conjecture,(
% 0.13/5.41 ( frontsegP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f196,negated_conjecture,(
% 0.13/5.41 ( frontsegP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f197,negated_conjecture,(
% 0.13/5.41 ( nil = sk2| neq(sk2,nil) ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f198,negated_conjecture,(
% 0.13/5.41 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f199,negated_conjecture,(
% 0.13/5.41 ( nil != sk1| neq(sk2,nil) ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f200,negated_conjecture,(
% 0.13/5.41 (![A]: (( nil != sk1| ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f208,plain,(
% 0.13/5.41 ssList(nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/5.41 fof(f260,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/5.41 fof(f261,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/5.41 fof(f284,plain,(
% 0.13/5.41 ![X0]: (~nil=X0|~ssList(X0)|frontsegP(nil,X0))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/5.41 fof(f285,plain,(
% 0.13/5.41 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f84])).
% 0.13/5.41 fof(f321,plain,(
% 0.13/5.41 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.13/5.41 inference(miniscoping,[status(thm)],[f115])).
% 0.13/5.41 fof(f322,plain,(
% 0.13/5.41 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f321])).
% 0.13/5.41 fof(f342,plain,(
% 0.13/5.41 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f129])).
% 0.13/5.41 fof(f352,plain,(
% 0.13/5.41 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f137])).
% 0.13/5.41 fof(f433,plain,(
% 0.13/5.41 ssList(sk3)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f188])).
% 0.13/5.41 fof(f434,plain,(
% 0.13/5.41 ssList(sk4)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f189])).
% 0.13/5.41 fof(f435,plain,(
% 0.13/5.41 sk2=sk4),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/5.41 fof(f436,plain,(
% 0.13/5.41 sk1=sk3),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/5.41 fof(f437,plain,(
% 0.13/5.41 nil=sk3|~nil=sk4),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/5.41 fof(f438,plain,(
% 0.13/5.41 ssList(sk5)|~neq(sk4,nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/5.41 fof(f439,plain,(
% 0.13/5.41 neq(sk5,nil)|~neq(sk4,nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/5.41 fof(f440,plain,(
% 0.13/5.41 frontsegP(sk4,sk5)|~neq(sk4,nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/5.41 fof(f441,plain,(
% 0.13/5.41 frontsegP(sk3,sk5)|~neq(sk4,nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/5.41 fof(f442,plain,(
% 0.13/5.41 nil=sk2|neq(sk2,nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/5.41 fof(f443,plain,(
% 0.13/5.41 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f198])).
% 0.13/5.41 fof(f444,plain,(
% 0.13/5.41 ~nil=sk1|neq(sk2,nil)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/5.41 fof(f445,plain,(
% 0.13/5.41 ![X0]: (~nil=sk1|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f200])).
% 0.13/5.41 fof(f453,definition,(
% 0.13/5.41 sQ2_spl <=> (nil=sk3)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f454,plain,(
% 0.13/5.41 nil=sk3|~sQ2_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f453])).
% 0.13/5.41 fof(f456,definition,(
% 0.13/5.41 sQ3_spl <=> (nil=sk4)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f457,plain,(
% 0.13/5.41 nil=sk4|~sQ3_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f456])).
% 0.13/5.41 fof(f458,plain,(
% 0.13/5.41 ~nil=sk4|sQ3_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f456])).
% 0.13/5.41 fof(f459,plain,(
% 0.13/5.41 sQ2_spl|~sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f437,f453,f456])).
% 0.13/5.41 fof(f460,definition,(
% 0.13/5.41 sQ4_spl <=> (ssList(sk5))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f461,plain,(
% 0.13/5.41 ssList(sk5)|~sQ4_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f460])).
% 0.13/5.41 fof(f463,definition,(
% 0.13/5.41 sQ5_spl <=> (neq(sk4,nil))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f465,plain,(
% 0.13/5.41 ~neq(sk4,nil)|sQ5_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f463])).
% 0.13/5.41 fof(f466,plain,(
% 0.13/5.41 sQ4_spl|~sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f438,f460,f463])).
% 0.13/5.41 fof(f467,definition,(
% 0.13/5.41 sQ6_spl <=> (neq(sk5,nil))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f468,plain,(
% 0.13/5.41 neq(sk5,nil)|~sQ6_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f467])).
% 0.13/5.41 fof(f470,plain,(
% 0.13/5.41 sQ6_spl|~sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f439,f467,f463])).
% 0.13/5.41 fof(f471,definition,(
% 0.13/5.41 sQ7_spl <=> (frontsegP(sk4,sk5))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f472,plain,(
% 0.13/5.41 frontsegP(sk4,sk5)|~sQ7_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f471])).
% 0.13/5.41 fof(f474,plain,(
% 0.13/5.41 sQ7_spl|~sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f440,f471,f463])).
% 0.13/5.41 fof(f475,definition,(
% 0.13/5.41 sQ8_spl <=> (frontsegP(sk3,sk5))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f476,plain,(
% 0.13/5.41 frontsegP(sk3,sk5)|~sQ8_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f475])).
% 0.13/5.41 fof(f478,plain,(
% 0.13/5.41 sQ8_spl|~sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f441,f475,f463])).
% 0.13/5.41 fof(f479,definition,(
% 0.13/5.41 sQ9_spl <=> (nil=sk2)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f480,plain,(
% 0.13/5.41 nil=sk2|~sQ9_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f479])).
% 0.13/5.41 fof(f482,definition,(
% 0.13/5.41 sQ10_spl <=> (neq(sk2,nil))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f483,plain,(
% 0.13/5.41 neq(sk2,nil)|~sQ10_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f482])).
% 0.13/5.41 fof(f485,plain,(
% 0.13/5.41 sQ9_spl|sQ10_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f442,f479,f482])).
% 0.13/5.41 fof(f486,definition,(
% 0.13/5.41 ![X0]: (sQ11_spl <=> (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f487,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)|~sQ11_spl)),
% 0.13/5.41 inference(component_clause,[status(thm)],[f486])).
% 0.13/5.41 fof(f489,plain,(
% 0.13/5.41 sQ9_spl|sQ11_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f443,f479,f486])).
% 0.13/5.41 fof(f490,definition,(
% 0.13/5.41 sQ12_spl <=> (nil=sk1)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f492,plain,(
% 0.13/5.41 ~nil=sk1|sQ12_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f490])).
% 0.13/5.41 fof(f493,plain,(
% 0.13/5.41 ~sQ12_spl|sQ10_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f444,f490,f482])).
% 0.13/5.41 fof(f494,plain,(
% 0.13/5.41 ~sQ12_spl|sQ11_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f445,f490,f486])).
% 0.13/5.41 fof(f497,plain,(
% 0.13/5.41 ~ssList(nil)|frontsegP(nil,nil)),
% 0.13/5.41 inference(destructive_equality_resolution,[status(thm)],[f284])).
% 0.13/5.41 fof(f502,plain,(
% 0.13/5.41 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.13/5.41 inference(destructive_equality_resolution,[status(thm)],[f322])).
% 0.13/5.41 fof(f503,plain,(
% 0.13/5.41 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.13/5.41 inference(duplicate_literals_removal,[status(thm)],[f502])).
% 0.13/5.41 fof(f526,plain,(
% 0.13/5.41 ~nil=sk3|sQ12_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f436,f492])).
% 0.13/5.41 fof(f527,plain,(
% 0.13/5.41 ~sk4=sk3|~sQ9_spl|sQ12_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f529,f526])).
% 0.13/5.41 fof(f529,plain,(
% 0.13/5.41 nil=sk4|~sQ9_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f435,f480])).
% 0.13/5.41 fof(f532,plain,(
% 0.13/5.41 sk4=sk3|~sQ9_spl|~sQ2_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f529,f454])).
% 0.13/5.41 fof(f533,plain,(
% 0.13/5.41 ~sk4=sk4|~sQ2_spl|~sQ9_spl|sQ12_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f532,f527])).
% 0.13/5.41 fof(f534,plain,(
% 0.13/5.41 $false|~sQ2_spl|~sQ9_spl|sQ12_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f533])).
% 0.13/5.41 fof(f535,plain,(
% 0.13/5.41 ~sQ2_spl|~sQ9_spl|sQ12_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f534])).
% 0.13/5.41 fof(f536,plain,(
% 0.13/5.41 neq(sk4,nil)|~sQ10_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f435,f483])).
% 0.13/5.41 fof(f537,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk1,X0)|~sQ11_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f435,f487])).
% 0.13/5.41 fof(f539,plain,(
% 0.13/5.41 frontsegP(sk3,nil)),
% 0.13/5.41 inference(resolution,[status(thm)],[f260,f433])).
% 0.13/5.41 fof(f540,plain,(
% 0.13/5.41 frontsegP(sk5,nil)|~sQ4_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f260,f461])).
% 0.13/5.41 fof(f541,plain,(
% 0.13/5.41 frontsegP(sk4,nil)),
% 0.13/5.41 inference(resolution,[status(thm)],[f260,f434])).
% 0.13/5.41 fof(f542,plain,(
% 0.13/5.41 frontsegP(sk3,sk3)),
% 0.13/5.41 inference(resolution,[status(thm)],[f261,f433])).
% 0.13/5.41 fof(f543,plain,(
% 0.13/5.41 frontsegP(sk5,sk5)|~sQ4_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f261,f461])).
% 0.13/5.41 fof(f544,plain,(
% 0.13/5.41 frontsegP(sk4,sk4)),
% 0.13/5.41 inference(resolution,[status(thm)],[f261,f434])).
% 0.13/5.41 fof(f546,plain,(
% 0.13/5.41 frontsegP(nil,nil)),
% 0.13/5.41 inference(resolution,[status(thm)],[f208,f260])).
% 0.13/5.41 fof(f553,plain,(
% 0.13/5.41 $false|sQ5_spl|~sQ10_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f536,f465])).
% 0.13/5.41 fof(f554,plain,(
% 0.13/5.41 sQ5_spl|~sQ10_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f553])).
% 0.13/5.41 fof(f555,plain,(
% 0.13/5.41 $false|sQ3_spl|~sQ9_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f529,f458])).
% 0.13/5.41 fof(f556,plain,(
% 0.13/5.41 sQ3_spl|~sQ9_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f555])).
% 0.13/5.41 fof(f571,plain,(
% 0.13/5.41 sk4=sk3|~sQ3_spl|~sQ2_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f457,f454])).
% 0.13/5.41 fof(f586,plain,(
% 0.13/5.41 ![X0]: (~frontsegP(sk4,X0)|~ssList(X0)|nil=X0|~sQ3_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f457,f285])).
% 0.13/5.41 fof(f587,plain,(
% 0.13/5.41 ![X0]: (~frontsegP(sk4,X0)|~ssList(X0)|sk4=X0|~sQ3_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f457,f586])).
% 0.13/5.41 fof(f597,plain,(
% 0.13/5.41 frontsegP(sk4,sk5)|~sQ3_spl|~sQ2_spl|~sQ8_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f571,f476])).
% 0.13/5.41 fof(f598,plain,(
% 0.13/5.41 ~ssList(sk5)|sk4=sk5|~sQ2_spl|~sQ8_spl|~sQ3_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f597,f587])).
% 0.13/5.41 fof(f599,definition,(
% 0.13/5.41 sQ13_spl <=> (sk4=sk5)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f600,plain,(
% 0.13/5.41 sk4=sk5|~sQ13_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f599])).
% 0.13/5.41 fof(f602,plain,(
% 0.13/5.41 ~sQ4_spl|sQ13_spl|~sQ2_spl|~sQ8_spl|~sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f598,f460,f599,f453,f475,f456])).
% 0.13/5.41 fof(f615,plain,(
% 0.13/5.41 nil=sk5|~sQ13_spl|~sQ3_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f600,f457])).
% 0.13/5.41 fof(f620,plain,(
% 0.13/5.41 neq(sk5,sk5)|~sQ13_spl|~sQ3_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f615,f468])).
% 0.13/5.41 fof(f689,plain,(
% 0.13/5.41 ~ssList(sk5)|~sQ13_spl|~sQ3_spl|~sQ6_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f503,f620])).
% 0.13/5.41 fof(f690,plain,(
% 0.13/5.41 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f689,f461])).
% 0.13/5.41 fof(f691,plain,(
% 0.13/5.41 ~sQ4_spl|~sQ13_spl|~sQ3_spl|~sQ6_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f690])).
% 0.13/5.41 fof(f692,definition,(
% 0.13/5.41 sQ14_spl <=> (ssList(nil))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f694,plain,(
% 0.13/5.41 ~ssList(nil)|sQ14_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f692])).
% 0.13/5.41 fof(f695,definition,(
% 0.13/5.41 sQ15_spl <=> (frontsegP(nil,nil))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f698,plain,(
% 0.13/5.41 ~sQ14_spl|sQ15_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f497,f692,f695])).
% 0.13/5.41 fof(f705,plain,(
% 0.13/5.41 $false|sQ14_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f694,f208])).
% 0.13/5.41 fof(f706,plain,(
% 0.13/5.41 sQ14_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f705])).
% 0.13/5.41 fof(f733,plain,(
% 0.13/5.41 ~frontsegP(sk3,sk3)|~ssList(sk3)|~ssList(sk3)|sk3=sk3),
% 0.13/5.41 inference(resolution,[status(thm)],[f542,f342])).
% 0.13/5.41 fof(f734,definition,(
% 0.13/5.41 sQ16_spl <=> (frontsegP(sk3,sk3))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f736,plain,(
% 0.13/5.41 ~frontsegP(sk3,sk3)|sQ16_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f734])).
% 0.13/5.41 fof(f737,definition,(
% 0.13/5.41 sQ17_spl <=> (ssList(sk3))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f739,plain,(
% 0.13/5.41 ~ssList(sk3)|sQ17_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f737])).
% 0.13/5.41 fof(f740,definition,(
% 0.13/5.41 sQ18_spl <=> (sk3=sk3)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f743,plain,(
% 0.13/5.41 ~sQ16_spl|~sQ17_spl|sQ18_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f733,f734,f737,f740])).
% 0.13/5.41 fof(f744,plain,(
% 0.13/5.41 ~frontsegP(nil,sk5)|~ssList(nil)|~ssList(sk5)|sk5=nil|~sQ4_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f540,f342])).
% 0.13/5.41 fof(f745,definition,(
% 0.13/5.41 sQ19_spl <=> (frontsegP(nil,sk5))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f748,definition,(
% 0.13/5.41 sQ20_spl <=> (sk5=nil)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f749,plain,(
% 0.13/5.41 sk5=nil|~sQ20_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f748])).
% 0.13/5.41 fof(f751,plain,(
% 0.13/5.41 ~sQ19_spl|~sQ14_spl|~sQ4_spl|sQ20_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f744,f745,f692,f460,f748])).
% 0.13/5.41 fof(f763,plain,(
% 0.13/5.41 neq(sk5,sk5)|~sQ20_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f749,f468])).
% 0.13/5.41 fof(f765,plain,(
% 0.13/5.41 ~ssList(sk5)|~sQ20_spl|~sQ6_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f763,f503])).
% 0.13/5.41 fof(f766,plain,(
% 0.13/5.41 $false|~sQ4_spl|~sQ20_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f765,f461])).
% 0.13/5.41 fof(f767,plain,(
% 0.13/5.41 ~sQ4_spl|~sQ20_spl|~sQ6_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f766])).
% 0.13/5.41 fof(f770,plain,(
% 0.13/5.41 ~frontsegP(nil,nil)|~ssList(nil)|~ssList(nil)|nil=nil),
% 0.13/5.41 inference(resolution,[status(thm)],[f546,f342])).
% 0.13/5.41 fof(f771,definition,(
% 0.13/5.41 sQ21_spl <=> (nil=nil)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f774,plain,(
% 0.13/5.41 ~sQ15_spl|~sQ14_spl|sQ21_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f770,f695,f692,f771])).
% 0.13/5.41 fof(f775,plain,(
% 0.13/5.41 ~frontsegP(nil,sk3)|~ssList(nil)|~ssList(sk3)|sk3=nil),
% 0.13/5.41 inference(resolution,[status(thm)],[f539,f342])).
% 0.13/5.41 fof(f776,definition,(
% 0.13/5.41 sQ22_spl <=> (frontsegP(nil,sk3))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f779,plain,(
% 0.13/5.41 ~sQ22_spl|~sQ14_spl|~sQ17_spl|sQ2_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f775,f776,f692,f737,f453])).
% 0.13/5.41 fof(f780,plain,(
% 0.13/5.41 $false|sQ17_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f739,f433])).
% 0.13/5.41 fof(f781,plain,(
% 0.13/5.41 sQ17_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f780])).
% 0.13/5.41 fof(f782,plain,(
% 0.13/5.41 $false|sQ16_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f736,f542])).
% 0.13/5.41 fof(f783,plain,(
% 0.13/5.41 sQ16_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f782])).
% 0.13/5.41 fof(f792,plain,(
% 0.13/5.41 ~frontsegP(sk4,sk4)|~ssList(sk4)|~ssList(sk4)|sk4=sk4),
% 0.13/5.41 inference(resolution,[status(thm)],[f544,f342])).
% 0.13/5.41 fof(f793,definition,(
% 0.13/5.41 sQ25_spl <=> (frontsegP(sk4,sk4))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f795,plain,(
% 0.13/5.41 ~frontsegP(sk4,sk4)|sQ25_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f793])).
% 0.13/5.41 fof(f796,definition,(
% 0.13/5.41 sQ26_spl <=> (ssList(sk4))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f798,plain,(
% 0.13/5.41 ~ssList(sk4)|sQ26_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f796])).
% 0.13/5.41 fof(f799,definition,(
% 0.13/5.41 sQ27_spl <=> (sk4=sk4)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f802,plain,(
% 0.13/5.41 ~sQ25_spl|~sQ26_spl|sQ27_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f792,f793,f796,f799])).
% 0.13/5.41 fof(f803,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(sk4)|~ssList(sk4)|frontsegP(app(sk4,X0),sk4))),
% 0.13/5.41 inference(resolution,[status(thm)],[f352,f544])).
% 0.13/5.41 fof(f804,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|frontsegP(app(nil,X0),nil))),
% 0.13/5.41 inference(resolution,[status(thm)],[f352,f546])).
% 0.13/5.41 fof(f806,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk3)|frontsegP(app(sk3,X0),nil))),
% 0.13/5.41 inference(resolution,[status(thm)],[f352,f539])).
% 0.13/5.41 fof(f807,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(sk3)|~ssList(sk3)|frontsegP(app(sk3,X0),sk3))),
% 0.13/5.41 inference(resolution,[status(thm)],[f352,f542])).
% 0.13/5.41 fof(f808,definition,(
% 0.13/5.41 ![X0]: (sQ28_spl <=> (~ssList(X0)|frontsegP(app(sk4,X0),sk4)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f811,plain,(
% 0.13/5.41 sQ28_spl|~sQ26_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f803,f808,f796])).
% 0.13/5.41 fof(f812,definition,(
% 0.13/5.41 ![X0]: (sQ29_spl <=> (~ssList(X0)|frontsegP(app(nil,X0),nil)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f815,plain,(
% 0.13/5.41 sQ29_spl|~sQ14_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f804,f812,f692])).
% 0.13/5.41 fof(f820,definition,(
% 0.13/5.41 ![X0]: (sQ31_spl <=> (~ssList(X0)|frontsegP(app(sk3,X0),nil)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f823,plain,(
% 0.13/5.41 sQ31_spl|~sQ14_spl|~sQ17_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f806,f820,f692,f737])).
% 0.13/5.41 fof(f824,definition,(
% 0.13/5.41 ![X0]: (sQ32_spl <=> (~ssList(X0)|frontsegP(app(sk3,X0),sk3)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f827,plain,(
% 0.13/5.41 sQ32_spl|~sQ17_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f807,f824,f737])).
% 0.13/5.41 fof(f828,plain,(
% 0.13/5.41 $false|sQ26_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f798,f434])).
% 0.13/5.41 fof(f829,plain,(
% 0.13/5.41 sQ26_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f828])).
% 0.13/5.41 fof(f830,plain,(
% 0.13/5.41 $false|sQ25_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f795,f544])).
% 0.13/5.41 fof(f831,plain,(
% 0.13/5.41 sQ25_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f830])).
% 0.13/5.41 fof(f956,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk5)|frontsegP(app(sk5,X0),sk5)|~sQ4_spl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f543,f352])).
% 0.13/5.41 fof(f957,plain,(
% 0.13/5.41 ~frontsegP(sk5,sk5)|~ssList(sk5)|~ssList(sk5)|sk5=sk5|~sQ4_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f543,f342])).
% 0.13/5.41 fof(f958,definition,(
% 0.13/5.41 ![X0]: (sQ33_spl <=> (~ssList(X0)|frontsegP(app(sk5,X0),sk5)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f961,plain,(
% 0.13/5.41 sQ33_spl|~sQ4_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f956,f958,f460])).
% 0.13/5.41 fof(f962,definition,(
% 0.13/5.41 sQ34_spl <=> (frontsegP(sk5,sk5))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f964,plain,(
% 0.13/5.41 ~frontsegP(sk5,sk5)|sQ34_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f962])).
% 0.13/5.41 fof(f965,definition,(
% 0.13/5.41 sQ35_spl <=> (sk5=sk5)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f968,plain,(
% 0.13/5.41 ~sQ34_spl|~sQ4_spl|sQ35_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f957,f962,f460,f965])).
% 0.13/5.41 fof(f969,plain,(
% 0.13/5.41 $false|~sQ4_spl|sQ34_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f964,f543])).
% 0.13/5.41 fof(f970,plain,(
% 0.13/5.41 ~sQ4_spl|sQ34_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f969])).
% 0.13/5.41 fof(f971,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk4)|frontsegP(app(sk4,X0),nil))),
% 0.13/5.41 inference(resolution,[status(thm)],[f541,f352])).
% 0.13/5.41 fof(f972,plain,(
% 0.13/5.41 ~frontsegP(nil,sk4)|~ssList(nil)|~ssList(sk4)|sk4=nil),
% 0.13/5.41 inference(resolution,[status(thm)],[f541,f342])).
% 0.13/5.41 fof(f973,definition,(
% 0.13/5.41 ![X0]: (sQ36_spl <=> (~ssList(X0)|frontsegP(app(sk4,X0),nil)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f976,plain,(
% 0.13/5.41 sQ36_spl|~sQ14_spl|~sQ26_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f971,f973,f692,f796])).
% 0.13/5.41 fof(f977,definition,(
% 0.13/5.41 sQ37_spl <=> (frontsegP(nil,sk4))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f980,plain,(
% 0.13/5.41 ~sQ37_spl|~sQ14_spl|~sQ26_spl|sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f972,f977,f692,f796,f456])).
% 0.13/5.41 fof(f981,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk4)|frontsegP(app(sk4,X0),sk5)|~sQ7_spl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f472,f352])).
% 0.13/5.41 fof(f982,plain,(
% 0.13/5.41 ~frontsegP(sk5,sk4)|~ssList(sk5)|~ssList(sk4)|sk4=sk5|~sQ7_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f472,f342])).
% 0.13/5.41 fof(f983,definition,(
% 0.13/5.41 ![X0]: (sQ38_spl <=> (~ssList(X0)|frontsegP(app(sk4,X0),sk5)))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f986,plain,(
% 0.13/5.41 sQ38_spl|~sQ4_spl|~sQ26_spl|~sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f981,f983,f460,f796,f471])).
% 0.13/5.41 fof(f987,definition,(
% 0.13/5.41 sQ39_spl <=> (frontsegP(sk5,sk4))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f990,plain,(
% 0.13/5.41 ~sQ39_spl|~sQ4_spl|~sQ26_spl|sQ13_spl|~sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f982,f987,f460,f796,f599,f471])).
% 0.13/5.41 fof(f991,plain,(
% 0.13/5.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk4,X0)|~frontsegP(sk3,X0)|~sQ11_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f436,f537])).
% 0.13/5.41 fof(f992,plain,(
% 0.13/5.41 ~ssList(sk5)|~neq(sk5,nil)|~frontsegP(sk3,sk5)|~sQ11_spl|~sQ7_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f991,f472])).
% 0.13/5.41 fof(f998,plain,(
% 0.13/5.41 ~sQ4_spl|~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f992,f460,f467,f475,f486,f471])).
% 0.13/5.42 fof(f1022,plain,(
% 0.13/5.42 $false),
% 0.13/5.42 inference(sat_refutation,[status(thm)],[f459,f466,f470,f474,f478,f485,f489,f493,f494,f535,f554,f556,f602,f691,f698,f706,f743,f751,f767,f774,f779,f781,f783,f802,f811,f815,f823,f827,f829,f831,f961,f968,f970,f976,f980,f986,f990,f998])).
% 0.13/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.056200 seconds
% 0.13/5.43 % CPU time: 0.152230 seconds
% 0.13/5.43 % Total memory used: 71.756 MB
% 0.13/5.43 % Net memory used: 71.652 MB
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