%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC081-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:41:32 PM UTC 2026
% Result : Unsatisfiable 3.89s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC081-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:54:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 3.89/1.00 % Refutation found
% 3.89/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.89/1.00 % SZS output start CNFRefutation for theBenchmark
% 3.89/1.00 fof(f8,axiom,(
% 3.89/1.00 ssList(nil) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f50,axiom,(
% 3.89/1.00 (![U,V]: (ssList(skaf46(U,V)) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f51,axiom,(
% 3.89/1.00 (![U,V]: (ssList(skaf45(U,V)) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f59,axiom,(
% 3.89/1.00 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f85,axiom,(
% 3.89/1.00 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f115,axiom,(
% 3.89/1.00 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f131,axiom,(
% 3.89/1.00 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f132,axiom,(
% 3.89/1.00 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f173,axiom,(
% 3.89/1.00 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f186,negated_conjecture,(
% 3.89/1.00 ssList(sk1) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f187,negated_conjecture,(
% 3.89/1.00 ssList(sk2) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f190,negated_conjecture,(
% 3.89/1.00 sk2 = sk4 ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f191,negated_conjecture,(
% 3.89/1.00 sk1 = sk3 ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f192,negated_conjecture,(
% 3.89/1.00 neq(sk2,nil) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f193,negated_conjecture,(
% 3.89/1.00 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f194,negated_conjecture,(
% 3.89/1.00 ( ssList(sk5)| nil = sk4 ) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f196,negated_conjecture,(
% 3.89/1.00 ( neq(sk5,nil)| nil = sk4 ) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f197,negated_conjecture,(
% 3.89/1.00 ( frontsegP(sk4,sk5)| nil = sk4 ) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f198,negated_conjecture,(
% 3.89/1.00 ( frontsegP(sk3,sk5)| nil = sk4 ) ),
% 3.89/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/1.00 fof(f209,plain,(
% 3.89/1.00 ssList(nil)),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f8])).
% 3.89/1.00 fof(f251,plain,(
% 3.89/1.00 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f50])).
% 3.89/1.00 fof(f252,plain,(
% 3.89/1.00 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f51])).
% 3.89/1.00 fof(f260,plain,(
% 3.89/1.00 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f59])).
% 3.89/1.00 fof(f287,plain,(
% 3.89/1.00 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f85])).
% 3.89/1.00 fof(f322,plain,(
% 3.89/1.00 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 3.89/1.00 inference(miniscoping,[status(thm)],[f115])).
% 3.89/1.00 fof(f323,plain,(
% 3.89/1.00 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f322])).
% 3.89/1.00 fof(f345,plain,(
% 3.89/1.00 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f131])).
% 3.89/1.00 fof(f346,plain,(
% 3.89/1.00 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f132])).
% 3.89/1.00 fof(f407,plain,(
% 3.89/1.00 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 3.89/1.00 inference(miniscoping,[status(thm)],[f173])).
% 3.89/1.00 fof(f408,plain,(
% 3.89/1.00 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 3.89/1.00 inference(cnf_transformation,[status(thm)],[f407])).
% 3.89/1.01 fof(f432,plain,(
% 3.89/1.01 ssList(sk1)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f186])).
% 3.89/1.01 fof(f433,plain,(
% 3.89/1.01 ssList(sk2)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f187])).
% 3.89/1.01 fof(f436,plain,(
% 3.89/1.01 sk2=sk4),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f190])).
% 3.89/1.01 fof(f437,plain,(
% 3.89/1.01 sk1=sk3),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f191])).
% 3.89/1.01 fof(f438,plain,(
% 3.89/1.01 neq(sk2,nil)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f192])).
% 3.89/1.01 fof(f439,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f193])).
% 3.89/1.01 fof(f440,plain,(
% 3.89/1.01 ssList(sk5)|nil=sk4),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f194])).
% 3.89/1.01 fof(f442,plain,(
% 3.89/1.01 neq(sk5,nil)|nil=sk4),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f196])).
% 3.89/1.01 fof(f443,plain,(
% 3.89/1.01 frontsegP(sk4,sk5)|nil=sk4),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f197])).
% 3.89/1.01 fof(f444,plain,(
% 3.89/1.01 frontsegP(sk3,sk5)|nil=sk4),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f198])).
% 3.89/1.01 fof(f455,definition,(
% 3.89/1.01 sQ2_spl <=> (ssList(sk5))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f456,plain,(
% 3.89/1.01 ssList(sk5)|~sQ2_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f455])).
% 3.89/1.01 fof(f458,definition,(
% 3.89/1.01 sQ3_spl <=> (nil=sk4)),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f459,plain,(
% 3.89/1.01 nil=sk4|~sQ3_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f458])).
% 3.89/1.01 fof(f461,plain,(
% 3.89/1.01 sQ2_spl|sQ3_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f440,f455,f458])).
% 3.89/1.01 fof(f466,definition,(
% 3.89/1.01 sQ5_spl <=> (neq(sk5,nil))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f467,plain,(
% 3.89/1.01 neq(sk5,nil)|~sQ5_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f466])).
% 3.89/1.01 fof(f469,plain,(
% 3.89/1.01 sQ5_spl|sQ3_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f442,f466,f458])).
% 3.89/1.01 fof(f470,definition,(
% 3.89/1.01 sQ6_spl <=> (frontsegP(sk4,sk5))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f471,plain,(
% 3.89/1.01 frontsegP(sk4,sk5)|~sQ6_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f470])).
% 3.89/1.01 fof(f473,plain,(
% 3.89/1.01 sQ6_spl|sQ3_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f443,f470,f458])).
% 3.89/1.01 fof(f474,definition,(
% 3.89/1.01 sQ7_spl <=> (frontsegP(sk3,sk5))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f475,plain,(
% 3.89/1.01 frontsegP(sk3,sk5)|~sQ7_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f474])).
% 3.89/1.01 fof(f477,plain,(
% 3.89/1.01 sQ7_spl|sQ3_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f444,f474,f458])).
% 3.89/1.01 fof(f488,plain,(
% 3.89/1.01 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 3.89/1.01 inference(destructive_equality_resolution,[status(thm)],[f323])).
% 3.89/1.01 fof(f489,plain,(
% 3.89/1.01 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 3.89/1.01 inference(duplicate_literals_removal,[status(thm)],[f488])).
% 3.89/1.01 fof(f499,plain,(
% 3.89/1.01 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 3.89/1.01 inference(destructive_equality_resolution,[status(thm)],[f408])).
% 3.89/1.01 fof(f513,plain,(
% 3.89/1.01 sk2=nil|~sQ3_spl),
% 3.89/1.01 inference(backward_demodulation,[status(thm)],[f459,f436])).
% 3.89/1.01 fof(f515,plain,(
% 3.89/1.01 neq(nil,nil)|~sQ3_spl),
% 3.89/1.01 inference(backward_demodulation,[status(thm)],[f513,f438])).
% 3.89/1.01 fof(f538,plain,(
% 3.89/1.01 ~ssList(nil)|~sQ3_spl),
% 3.89/1.01 inference(resolution,[status(thm)],[f515,f489])).
% 3.89/1.01 fof(f539,plain,(
% 3.89/1.01 $false|~sQ3_spl),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f538,f209])).
% 3.89/1.01 fof(f540,plain,(
% 3.89/1.01 ~sQ3_spl),
% 3.89/1.01 inference(contradiction_clause,[status(thm)],[f539])).
% 3.89/1.01 fof(f572,plain,(
% 3.89/1.01 frontsegP(sk1,sk5)|~sQ7_spl),
% 3.89/1.01 inference(backward_demodulation,[status(thm)],[f437,f475])).
% 3.89/1.01 fof(f573,plain,(
% 3.89/1.01 frontsegP(sk2,sk5)|~sQ6_spl),
% 3.89/1.01 inference(backward_demodulation,[status(thm)],[f436,f471])).
% 3.89/1.01 fof(f576,plain,(
% 3.89/1.01 ~ssList(sk5)|~segmentP(sk2,sk5)|~segmentP(sk1,sk5)|~sQ5_spl),
% 3.89/1.01 inference(resolution,[status(thm)],[f439,f467])).
% 3.89/1.01 fof(f577,definition,(
% 3.89/1.01 sQ16_spl <=> (ssList(sk2))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f579,plain,(
% 3.89/1.01 ~ssList(sk2)|sQ16_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f577])).
% 3.89/1.01 fof(f587,definition,(
% 3.89/1.01 sQ19_spl <=> (segmentP(sk2,sk5))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f590,definition,(
% 3.89/1.01 sQ20_spl <=> (segmentP(sk1,sk5))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f593,plain,(
% 3.89/1.01 ~sQ2_spl|~sQ19_spl|~sQ20_spl|~sQ5_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f576,f455,f587,f590,f466])).
% 3.89/1.01 fof(f629,definition,(
% 3.89/1.01 sQ23_spl <=> (ssList(sk1))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f631,plain,(
% 3.89/1.01 ~ssList(sk1)|sQ23_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f629])).
% 3.89/1.01 fof(f633,plain,(
% 3.89/1.01 $false|sQ23_spl),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f631,f432])).
% 3.89/1.01 fof(f634,plain,(
% 3.89/1.01 sQ23_spl),
% 3.89/1.01 inference(contradiction_clause,[status(thm)],[f633])).
% 3.89/1.01 fof(f640,plain,(
% 3.89/1.01 $false|sQ16_spl),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f579,f433])).
% 3.89/1.01 fof(f641,plain,(
% 3.89/1.01 sQ16_spl),
% 3.89/1.01 inference(contradiction_clause,[status(thm)],[f640])).
% 3.89/1.01 fof(f744,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|ssList(app(sk5,X0))|~sQ2_spl)),
% 3.89/1.01 inference(resolution,[status(thm)],[f287,f456])).
% 3.89/1.01 fof(f1180,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|~ssList(X0)|app(skaf46(X0,X0),X0)=X0|~ssList(X0))),
% 3.89/1.01 inference(resolution,[status(thm)],[f345,f260])).
% 3.89/1.01 fof(f1181,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|app(skaf46(X0,X0),X0)=X0)),
% 3.89/1.01 inference(duplicate_literals_removal,[status(thm)],[f1180])).
% 3.89/1.01 fof(f1197,plain,(
% 3.89/1.01 app(skaf46(sk5,sk5),sk5)=sk5|~sQ2_spl),
% 3.89/1.01 inference(resolution,[status(thm)],[f1181,f456])).
% 3.89/1.01 fof(f1232,definition,(
% 3.89/1.01 sQ54_spl <=> (ssList(skaf46(sk5,sk5)))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f1234,plain,(
% 3.89/1.01 ~ssList(skaf46(sk5,sk5))|sQ54_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f1232])).
% 3.89/1.01 fof(f1499,plain,(
% 3.89/1.01 $false|sQ54_spl),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1234,f251])).
% 3.89/1.01 fof(f1500,plain,(
% 3.89/1.01 sQ54_spl),
% 3.89/1.01 inference(contradiction_clause,[status(thm)],[f1499])).
% 3.89/1.01 fof(f1777,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|~ssList(skaf46(sk5,sk5))|~ssList(sk5)|~ssList(app(sk5,X0))|segmentP(app(app(skaf46(sk5,sk5),sk5),X0),sk5)|~sQ2_spl)),
% 3.89/1.01 inference(paramodulation,[status(thm)],[f1197,f499])).
% 3.89/1.01 fof(f1781,definition,(
% 3.89/1.01 ![X0]: (sQ106_spl <=> (~ssList(X0)|~ssList(app(sk5,X0))|segmentP(app(app(skaf46(sk5,sk5),sk5),X0),sk5)))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f1782,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|~ssList(app(sk5,X0))|segmentP(app(app(skaf46(sk5,sk5),sk5),X0),sk5)|~sQ106_spl)),
% 3.89/1.01 inference(component_clause,[status(thm)],[f1781])).
% 3.89/1.01 fof(f1784,plain,(
% 3.89/1.01 sQ106_spl|~sQ54_spl|~sQ2_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f1777,f1781,f1232,f455])).
% 3.89/1.01 fof(f1787,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|~ssList(app(sk5,X0))|segmentP(app(sk5,X0),sk5)|~sQ2_spl|~sQ106_spl)),
% 3.89/1.01 inference(forward_demodulation,[status(thm)],[f1197,f1782])).
% 3.89/1.01 fof(f1788,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|segmentP(app(sk5,X0),sk5)|~sQ2_spl|~sQ106_spl)),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1787,f744])).
% 3.89/1.01 fof(f3475,plain,(
% 3.89/1.01 ~ssList(sk5)|~ssList(sk2)|app(sk5,skaf45(sk2,sk5))=sk2|~sQ6_spl),
% 3.89/1.01 inference(resolution,[status(thm)],[f346,f573])).
% 3.89/1.01 fof(f3484,plain,(
% 3.89/1.01 ~ssList(sk5)|~ssList(sk1)|app(sk5,skaf45(sk1,sk5))=sk1|~sQ7_spl),
% 3.89/1.01 inference(resolution,[status(thm)],[f346,f572])).
% 3.89/1.01 fof(f3502,definition,(
% 3.89/1.01 sQ195_spl <=> (app(sk5,skaf45(sk2,sk5))=sk2)),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f3503,plain,(
% 3.89/1.01 app(sk5,skaf45(sk2,sk5))=sk2|~sQ195_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f3502])).
% 3.89/1.01 fof(f3505,plain,(
% 3.89/1.01 ~sQ2_spl|~sQ16_spl|sQ195_spl|~sQ6_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f3475,f455,f577,f3502,f470])).
% 3.89/1.01 fof(f3530,definition,(
% 3.89/1.01 sQ201_spl <=> (app(sk5,skaf45(sk1,sk5))=sk1)),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f3531,plain,(
% 3.89/1.01 app(sk5,skaf45(sk1,sk5))=sk1|~sQ201_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f3530])).
% 3.89/1.01 fof(f3533,plain,(
% 3.89/1.01 ~sQ2_spl|~sQ23_spl|sQ201_spl|~sQ7_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f3484,f455,f629,f3530,f474])).
% 3.89/1.01 fof(f3641,plain,(
% 3.89/1.01 ~ssList(skaf45(sk2,sk5))|segmentP(sk2,sk5)|~sQ2_spl|~sQ106_spl|~sQ195_spl),
% 3.89/1.01 inference(paramodulation,[status(thm)],[f3503,f1788])).
% 3.89/1.01 fof(f3648,definition,(
% 3.89/1.01 sQ211_spl <=> (ssList(skaf45(sk2,sk5)))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f3650,plain,(
% 3.89/1.01 ~ssList(skaf45(sk2,sk5))|sQ211_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f3648])).
% 3.89/1.01 fof(f3656,plain,(
% 3.89/1.01 ~sQ211_spl|sQ19_spl|~sQ2_spl|~sQ106_spl|~sQ195_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f3641,f3648,f587,f455,f1781,f3502])).
% 3.89/1.01 fof(f3672,plain,(
% 3.89/1.01 $false|sQ211_spl),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f3650,f252])).
% 3.89/1.01 fof(f3673,plain,(
% 3.89/1.01 sQ211_spl),
% 3.89/1.01 inference(contradiction_clause,[status(thm)],[f3672])).
% 3.89/1.01 fof(f3678,plain,(
% 3.89/1.01 ~ssList(skaf45(sk1,sk5))|segmentP(sk1,sk5)|~sQ2_spl|~sQ106_spl|~sQ201_spl),
% 3.89/1.01 inference(paramodulation,[status(thm)],[f3531,f1788])).
% 3.89/1.01 fof(f3685,definition,(
% 3.89/1.01 sQ216_spl <=> (ssList(skaf45(sk1,sk5)))),
% 3.89/1.01 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 3.89/1.01 fof(f3687,plain,(
% 3.89/1.01 ~ssList(skaf45(sk1,sk5))|sQ216_spl),
% 3.89/1.01 inference(component_clause,[status(thm)],[f3685])).
% 3.89/1.01 fof(f3693,plain,(
% 3.89/1.01 ~sQ216_spl|sQ20_spl|~sQ2_spl|~sQ106_spl|~sQ201_spl),
% 3.89/1.01 inference(split_clause,[status(thm)],[f3678,f3685,f590,f455,f1781,f3530])).
% 3.89/1.01 fof(f3709,plain,(
% 3.89/1.01 $false|sQ216_spl),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f3687,f252])).
% 3.89/1.01 fof(f3710,plain,(
% 3.89/1.01 sQ216_spl),
% 3.89/1.01 inference(contradiction_clause,[status(thm)],[f3709])).
% 3.89/1.01 fof(f3711,plain,(
% 3.89/1.01 $false),
% 3.89/1.01 inference(sat_refutation,[status(thm)],[f461,f469,f473,f477,f540,f593,f634,f641,f1500,f1784,f3505,f3533,f3656,f3673,f3693,f3710])).
% 3.89/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 2.47/1.02 % Elapsed time: 0.660388 seconds
% 2.47/1.02 % CPU time: 4.903122 seconds
% 2.47/1.02 % Total memory used: 190.139 MB
% 2.47/1.02 % Net memory used: 185.872 MB
%------------------------------------------------------------------------------