%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC122-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:41:39 PM UTC 2026
% Result : Unsatisfiable 7.79s 6.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC122-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n026.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 07:59:43 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.15/5.40 % Drodi V4.1.1
% 7.79/6.47 % Refutation found
% 7.79/6.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.79/6.47 % SZS output start CNFRefutation for theBenchmark
% 7.79/6.47 fof(f8,axiom,(
% 7.79/6.47 ssList(nil) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f50,axiom,(
% 7.79/6.47 (![U,V]: (ssList(skaf46(U,V)) ))),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f51,axiom,(
% 7.79/6.47 (![U,V]: (ssList(skaf45(U,V)) ))),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f57,axiom,(
% 7.79/6.47 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f73,axiom,(
% 7.79/6.47 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f131,axiom,(
% 7.79/6.47 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f172,axiom,(
% 7.79/6.47 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f186,negated_conjecture,(
% 7.79/6.47 ssList(sk1) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f187,negated_conjecture,(
% 7.79/6.47 ssList(sk2) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f190,negated_conjecture,(
% 7.79/6.47 sk2 = sk4 ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f191,negated_conjecture,(
% 7.79/6.47 sk1 = sk3 ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f192,negated_conjecture,(
% 7.79/6.47 neq(sk2,nil) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f194,negated_conjecture,(
% 7.79/6.47 ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f195,negated_conjecture,(
% 7.79/6.47 ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f196,negated_conjecture,(
% 7.79/6.47 ( ~ neq(sk4,nil)| rearsegP(sk4,sk3) ) ),
% 7.79/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.79/6.47 fof(f204,plain,(
% 7.79/6.47 ssList(nil)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f8])).
% 7.79/6.47 fof(f246,plain,(
% 7.79/6.47 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f50])).
% 7.79/6.47 fof(f247,plain,(
% 7.79/6.47 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f51])).
% 7.79/6.47 fof(f253,plain,(
% 7.79/6.47 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f57])).
% 7.79/6.47 fof(f270,plain,(
% 7.79/6.47 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f73])).
% 7.79/6.47 fof(f340,plain,(
% 7.79/6.47 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f131])).
% 7.79/6.47 fof(f401,plain,(
% 7.79/6.47 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f172])).
% 7.79/6.47 fof(f427,plain,(
% 7.79/6.47 ssList(sk1)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f186])).
% 7.79/6.47 fof(f428,plain,(
% 7.79/6.47 ssList(sk2)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f187])).
% 7.79/6.47 fof(f431,plain,(
% 7.79/6.47 sk2=sk4),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f190])).
% 7.79/6.47 fof(f432,plain,(
% 7.79/6.47 sk1=sk3),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f191])).
% 7.79/6.47 fof(f433,plain,(
% 7.79/6.47 neq(sk2,nil)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f192])).
% 7.79/6.47 fof(f435,plain,(
% 7.79/6.47 ~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f194])).
% 7.79/6.47 fof(f436,plain,(
% 7.79/6.47 ~neq(sk4,nil)|neq(sk3,nil)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f195])).
% 7.79/6.47 fof(f437,plain,(
% 7.79/6.47 ~neq(sk4,nil)|rearsegP(sk4,sk3)),
% 7.79/6.47 inference(cnf_transformation,[status(thm)],[f196])).
% 7.79/6.47 fof(f452,definition,(
% 7.79/6.47 sQ4_spl <=> (neq(sk1,nil))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f454,plain,(
% 7.79/6.47 ~neq(sk1,nil)|sQ4_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f452])).
% 7.79/6.47 fof(f455,definition,(
% 7.79/6.47 sQ5_spl <=> (segmentP(sk2,sk1))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f458,plain,(
% 7.79/6.47 ~sQ4_spl|~sQ5_spl),
% 7.79/6.47 inference(split_clause,[status(thm)],[f435,f452,f455])).
% 7.79/6.47 fof(f459,definition,(
% 7.79/6.47 sQ6_spl <=> (neq(sk4,nil))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f461,plain,(
% 7.79/6.47 ~neq(sk4,nil)|sQ6_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f459])).
% 7.79/6.47 fof(f462,definition,(
% 7.79/6.47 sQ7_spl <=> (neq(sk3,nil))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f463,plain,(
% 7.79/6.47 neq(sk3,nil)|~sQ7_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f462])).
% 7.79/6.47 fof(f465,plain,(
% 7.79/6.47 ~sQ6_spl|sQ7_spl),
% 7.79/6.47 inference(split_clause,[status(thm)],[f436,f459,f462])).
% 7.79/6.47 fof(f466,definition,(
% 7.79/6.47 sQ8_spl <=> (rearsegP(sk4,sk3))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f467,plain,(
% 7.79/6.47 rearsegP(sk4,sk3)|~sQ8_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f466])).
% 7.79/6.47 fof(f469,plain,(
% 7.79/6.47 ~sQ6_spl|sQ8_spl),
% 7.79/6.47 inference(split_clause,[status(thm)],[f437,f459,f466])).
% 7.79/6.47 fof(f499,plain,(
% 7.79/6.47 ~neq(sk2,nil)|sQ6_spl),
% 7.79/6.47 inference(backward_demodulation,[status(thm)],[f431,f461])).
% 7.79/6.47 fof(f501,plain,(
% 7.79/6.47 $false|sQ6_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f499,f433])).
% 7.79/6.47 fof(f502,plain,(
% 7.79/6.47 sQ6_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f501])).
% 7.79/6.47 fof(f503,plain,(
% 7.79/6.47 rearsegP(sk2,sk3)|~sQ8_spl),
% 7.79/6.47 inference(forward_demodulation,[status(thm)],[f431,f467])).
% 7.79/6.47 fof(f506,plain,(
% 7.79/6.47 neq(sk1,nil)|~sQ7_spl),
% 7.79/6.47 inference(forward_demodulation,[status(thm)],[f432,f463])).
% 7.79/6.47 fof(f507,plain,(
% 7.79/6.47 $false|sQ4_spl|~sQ7_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f506,f454])).
% 7.79/6.47 fof(f508,plain,(
% 7.79/6.47 sQ4_spl|~sQ7_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f507])).
% 7.79/6.47 fof(f509,plain,(
% 7.79/6.47 rearsegP(sk2,sk1)|~sQ8_spl),
% 7.79/6.47 inference(forward_demodulation,[status(thm)],[f432,f503])).
% 7.79/6.47 fof(f531,definition,(
% 7.79/6.47 sQ9_spl <=> (ssList(nil))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f533,plain,(
% 7.79/6.47 ~ssList(nil)|sQ9_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f531])).
% 7.79/6.47 fof(f539,plain,(
% 7.79/6.47 $false|sQ9_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f533,f204])).
% 7.79/6.47 fof(f540,plain,(
% 7.79/6.47 sQ9_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f539])).
% 7.79/6.47 fof(f549,plain,(
% 7.79/6.47 app(sk2,nil)=sk2),
% 7.79/6.47 inference(resolution,[status(thm)],[f270,f428])).
% 7.79/6.47 fof(f568,definition,(
% 7.79/6.47 sQ13_spl <=> (ssList(sk2))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f570,plain,(
% 7.79/6.47 ~ssList(sk2)|sQ13_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f568])).
% 7.79/6.47 fof(f575,definition,(
% 7.79/6.47 sQ15_spl <=> (ssList(sk1))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f577,plain,(
% 7.79/6.47 ~ssList(sk1)|sQ15_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f575])).
% 7.79/6.47 fof(f599,plain,(
% 7.79/6.47 $false|sQ13_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f570,f428])).
% 7.79/6.47 fof(f600,plain,(
% 7.79/6.47 sQ13_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f599])).
% 7.79/6.47 fof(f601,plain,(
% 7.79/6.47 $false|sQ15_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f577,f427])).
% 7.79/6.47 fof(f602,plain,(
% 7.79/6.47 sQ15_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f601])).
% 7.79/6.47 fof(f889,plain,(
% 7.79/6.47 ~ssList(sk1)|~ssList(sk2)|app(skaf46(sk2,sk1),sk1)=sk2|~sQ8_spl),
% 7.79/6.47 inference(resolution,[status(thm)],[f340,f509])).
% 7.79/6.47 fof(f896,definition,(
% 7.79/6.47 sQ41_spl <=> (app(skaf46(sk2,sk1),sk1)=sk2)),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f897,plain,(
% 7.79/6.47 app(skaf46(sk2,sk1),sk1)=sk2|~sQ41_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f896])).
% 7.79/6.47 fof(f899,plain,(
% 7.79/6.47 ~sQ15_spl|~sQ13_spl|sQ41_spl|~sQ8_spl),
% 7.79/6.47 inference(split_clause,[status(thm)],[f889,f575,f568,f896,f466])).
% 7.79/6.47 fof(f927,definition,(
% 7.79/6.47 sQ44_spl <=> (ssList(skaf46(sk2,sk1)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f929,plain,(
% 7.79/6.47 ~ssList(skaf46(sk2,sk1))|sQ44_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f927])).
% 7.79/6.47 fof(f935,plain,(
% 7.79/6.47 $false|sQ44_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f929,f246])).
% 7.79/6.47 fof(f936,plain,(
% 7.79/6.47 sQ44_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f935])).
% 7.79/6.47 fof(f939,definition,(
% 7.79/6.47 sQ46_spl <=> (ssList(skaf46(sk1,sk1)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f941,plain,(
% 7.79/6.47 ~ssList(skaf46(sk1,sk1))|sQ46_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f939])).
% 7.79/6.47 fof(f946,definition,(
% 7.79/6.47 sQ47_spl <=> (ssList(skaf46(nil,nil)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f948,plain,(
% 7.79/6.47 ~ssList(skaf46(nil,nil))|sQ47_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f946])).
% 7.79/6.47 fof(f967,definition,(
% 7.79/6.47 sQ48_spl <=> (ssList(skaf46(sk2,sk2)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f969,plain,(
% 7.79/6.47 ~ssList(skaf46(sk2,sk2))|sQ48_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f967])).
% 7.79/6.47 fof(f1009,definition,(
% 7.79/6.47 sQ52_spl <=> (ssList(skaf46(sk1,nil)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f1011,plain,(
% 7.79/6.47 ~ssList(skaf46(sk1,nil))|sQ52_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f1009])).
% 7.79/6.47 fof(f1016,definition,(
% 7.79/6.47 sQ53_spl <=> (ssList(skaf46(sk2,nil)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f1018,plain,(
% 7.79/6.47 ~ssList(skaf46(sk2,nil))|sQ53_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f1016])).
% 7.79/6.47 fof(f1313,plain,(
% 7.79/6.47 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2)|~ssList(X2))),
% 7.79/6.47 inference(resolution,[status(thm)],[f401,f253])).
% 7.79/6.47 fof(f1320,plain,(
% 7.79/6.47 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 7.79/6.47 inference(duplicate_literals_removal,[status(thm)],[f1313])).
% 7.79/6.47 fof(f1380,plain,(
% 7.79/6.47 $false|sQ52_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1011,f246])).
% 7.79/6.47 fof(f1381,plain,(
% 7.79/6.47 sQ52_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1380])).
% 7.79/6.47 fof(f1382,plain,(
% 7.79/6.47 $false|sQ53_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1018,f246])).
% 7.79/6.47 fof(f1383,plain,(
% 7.79/6.47 sQ53_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1382])).
% 7.79/6.47 fof(f1384,plain,(
% 7.79/6.47 $false|sQ48_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f969,f246])).
% 7.79/6.47 fof(f1385,plain,(
% 7.79/6.47 sQ48_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1384])).
% 7.79/6.47 fof(f1386,plain,(
% 7.79/6.47 $false|sQ46_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f941,f246])).
% 7.79/6.47 fof(f1387,plain,(
% 7.79/6.47 sQ46_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1386])).
% 7.79/6.47 fof(f1388,plain,(
% 7.79/6.47 $false|sQ47_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f948,f246])).
% 7.79/6.47 fof(f1389,plain,(
% 7.79/6.47 sQ47_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1388])).
% 7.79/6.47 fof(f1428,definition,(
% 7.79/6.47 sQ104_spl <=> (ssList(skaf45(sk1,sk1)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f1430,plain,(
% 7.79/6.47 ~ssList(skaf45(sk1,sk1))|sQ104_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f1428])).
% 7.79/6.47 fof(f1448,plain,(
% 7.79/6.47 $false|sQ104_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1430,f247])).
% 7.79/6.47 fof(f1449,plain,(
% 7.79/6.47 sQ104_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1448])).
% 7.79/6.47 fof(f1469,definition,(
% 7.79/6.47 sQ112_spl <=> (ssList(skaf45(nil,nil)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f1471,plain,(
% 7.79/6.47 ~ssList(skaf45(nil,nil))|sQ112_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f1469])).
% 7.79/6.47 fof(f1489,plain,(
% 7.79/6.47 $false|sQ112_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1471,f247])).
% 7.79/6.47 fof(f1490,plain,(
% 7.79/6.47 sQ112_spl),
% 7.79/6.47 inference(contradiction_clause,[status(thm)],[f1489])).
% 7.79/6.47 fof(f1534,definition,(
% 7.79/6.47 sQ120_spl <=> (ssList(skaf45(sk2,sk2)))),
% 7.79/6.47 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 7.79/6.47 fof(f1536,plain,(
% 7.79/6.47 ~ssList(skaf45(sk2,sk2))|sQ120_spl),
% 7.79/6.47 inference(component_clause,[status(thm)],[f1534])).
% 7.79/6.47 fof(f1554,plain,(
% 7.79/6.47 $false|sQ120_spl),
% 7.79/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1536,f247])).
% 7.79/6.47 fof(f1555,plain,(
% 7.79/6.48 sQ120_spl),
% 7.79/6.48 inference(contradiction_clause,[status(thm)],[f1554])).
% 7.79/6.48 fof(f5880,definition,(
% 7.79/6.48 sQ457_spl <=> (ssList(skaf45(sk2,nil)))),
% 7.79/6.48 introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition])).
% 7.79/6.48 fof(f5882,plain,(
% 7.79/6.48 ~ssList(skaf45(sk2,nil))|sQ457_spl),
% 7.79/6.48 inference(component_clause,[status(thm)],[f5880])).
% 7.79/6.48 fof(f5910,plain,(
% 7.79/6.48 $false|sQ457_spl),
% 7.79/6.48 inference(forward_subsumption_resolution,[status(thm)],[f5882,f247])).
% 7.79/6.48 fof(f5911,plain,(
% 7.79/6.48 sQ457_spl),
% 7.79/6.48 inference(contradiction_clause,[status(thm)],[f5910])).
% 7.79/6.48 fof(f5926,definition,(
% 7.79/6.48 sQ464_spl <=> (ssList(skaf45(sk1,nil)))),
% 7.79/6.48 introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition])).
% 7.79/6.48 fof(f5928,plain,(
% 7.79/6.48 ~ssList(skaf45(sk1,nil))|sQ464_spl),
% 7.79/6.48 inference(component_clause,[status(thm)],[f5926])).
% 7.79/6.48 fof(f5956,plain,(
% 7.79/6.48 $false|sQ464_spl),
% 7.79/6.48 inference(forward_subsumption_resolution,[status(thm)],[f5928,f247])).
% 7.79/6.48 fof(f5957,plain,(
% 7.79/6.48 sQ464_spl),
% 7.79/6.48 inference(contradiction_clause,[status(thm)],[f5956])).
% 7.79/6.48 fof(f6715,plain,(
% 7.79/6.48 ![X0]: (~ssList(X0)|~ssList(skaf46(sk2,sk1))|~ssList(sk1)|segmentP(app(sk2,X0),sk1)|~sQ41_spl)),
% 7.79/6.48 inference(paramodulation,[status(thm)],[f897,f1320])).
% 7.79/6.48 fof(f6761,definition,(
% 7.79/6.48 ![X0]: (sQ511_spl <=> (~ssList(X0)|segmentP(app(sk2,X0),sk1)))),
% 7.79/6.48 introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition])).
% 7.79/6.48 fof(f6762,plain,(
% 7.79/6.48 ![X0]: (~ssList(X0)|segmentP(app(sk2,X0),sk1)|~sQ511_spl)),
% 7.79/6.48 inference(component_clause,[status(thm)],[f6761])).
% 7.79/6.48 fof(f6764,plain,(
% 7.79/6.48 sQ511_spl|~sQ44_spl|~sQ15_spl|~sQ41_spl),
% 7.79/6.48 inference(split_clause,[status(thm)],[f6715,f6761,f927,f575,f896])).
% 7.79/6.48 fof(f7223,plain,(
% 7.79/6.48 ~ssList(nil)|segmentP(sk2,sk1)|~sQ511_spl),
% 7.79/6.48 inference(paramodulation,[status(thm)],[f549,f6762])).
% 7.79/6.48 fof(f7307,plain,(
% 7.79/6.48 ~sQ9_spl|sQ5_spl|~sQ511_spl),
% 7.79/6.48 inference(split_clause,[status(thm)],[f7223,f531,f455,f6761])).
% 7.79/6.48 fof(f7308,plain,(
% 7.79/6.48 $false),
% 7.79/6.48 inference(sat_refutation,[status(thm)],[f458,f465,f469,f502,f508,f540,f600,f602,f899,f936,f1381,f1383,f1385,f1387,f1389,f1449,f1490,f1555,f5911,f5957,f6764,f7307])).
% 7.79/6.48 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/6.52 % Elapsed time: 1.114288 seconds
% 1.27/6.52 % CPU time: 8.534316 seconds
% 1.27/6.52 % Total memory used: 246.439 MB
% 1.27/6.52 % Net memory used: 239.752 MB
%------------------------------------------------------------------------------