%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC008-1 : 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 02:41:19 PM UTC 2026
% Result : Unsatisfiable 14.19s 2.24s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC008-1 : 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 : n020.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 07:49:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 14.19/2.24 % Refutation found
% 14.19/2.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.19/2.24 % SZS output start CNFRefutation for theBenchmark
% 14.19/2.24 fof(f8,axiom,(
% 14.19/2.24 ssList(nil) ),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f51,axiom,(
% 14.19/2.24 (![U,V]: (ssList(skaf45(U,V)) ))),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f73,axiom,(
% 14.19/2.24 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f132,axiom,(
% 14.19/2.24 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f186,negated_conjecture,(
% 14.19/2.24 ssList(sk1) ),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f187,negated_conjecture,(
% 14.19/2.24 ssList(sk2) ),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f190,negated_conjecture,(
% 14.19/2.24 sk2 = sk4 ),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f191,negated_conjecture,(
% 14.19/2.24 sk1 = sk3 ),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f192,negated_conjecture,(
% 14.19/2.24 frontsegP(sk4,sk3) ),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f194,negated_conjecture,(
% 14.19/2.24 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk2| app(A,C) != sk1 ) ))),
% 14.19/2.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.19/2.24 fof(f203,plain,(
% 14.19/2.24 ssList(nil)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f8])).
% 14.19/2.24 fof(f246,plain,(
% 14.19/2.24 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f51])).
% 14.19/2.24 fof(f269,plain,(
% 14.19/2.24 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f73])).
% 14.19/2.24 fof(f340,plain,(
% 14.19/2.24 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f132])).
% 14.19/2.24 fof(f426,plain,(
% 14.19/2.24 ssList(sk1)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f186])).
% 14.19/2.24 fof(f427,plain,(
% 14.19/2.24 ssList(sk2)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f187])).
% 14.19/2.24 fof(f430,plain,(
% 14.19/2.24 sk2=sk4),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f190])).
% 14.19/2.24 fof(f431,plain,(
% 14.19/2.24 sk1=sk3),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f191])).
% 14.19/2.24 fof(f432,plain,(
% 14.19/2.24 frontsegP(sk4,sk3)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f192])).
% 14.19/2.24 fof(f434,plain,(
% 14.19/2.24 ![A,C]: ((![B]: (((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk2))|~app(A,C)=sk1)),
% 14.19/2.24 inference(miniscoping,[status(thm)],[f194])).
% 14.19/2.24 fof(f435,plain,(
% 14.19/2.24 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1)),
% 14.19/2.24 inference(cnf_transformation,[status(thm)],[f434])).
% 14.19/2.24 fof(f473,plain,(
% 14.19/2.24 frontsegP(sk2,sk3)),
% 14.19/2.24 inference(backward_demodulation,[status(thm)],[f430,f432])).
% 14.19/2.24 fof(f477,plain,(
% 14.19/2.24 frontsegP(sk2,sk1)),
% 14.19/2.24 inference(forward_demodulation,[status(thm)],[f431,f473])).
% 14.19/2.24 fof(f502,definition,(
% 14.19/2.24 sQ4_spl <=> (ssList(nil))),
% 14.19/2.24 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 14.19/2.24 fof(f504,plain,(
% 14.19/2.24 ~ssList(nil)|sQ4_spl),
% 14.19/2.24 inference(component_clause,[status(thm)],[f502])).
% 14.19/2.24 fof(f510,plain,(
% 14.19/2.24 $false|sQ4_spl),
% 14.19/2.24 inference(forward_subsumption_resolution,[status(thm)],[f504,f203])).
% 14.19/2.24 fof(f511,plain,(
% 14.19/2.24 sQ4_spl),
% 14.19/2.24 inference(contradiction_clause,[status(thm)],[f510])).
% 14.19/2.24 fof(f520,plain,(
% 14.19/2.24 app(sk2,nil)=sk2),
% 14.19/2.24 inference(resolution,[status(thm)],[f269,f427])).
% 14.19/2.24 fof(f521,plain,(
% 14.19/2.24 app(sk1,nil)=sk1),
% 14.19/2.24 inference(resolution,[status(thm)],[f269,f426])).
% 14.19/2.24 fof(f530,definition,(
% 14.19/2.24 sQ7_spl <=> (ssList(sk2))),
% 14.19/2.24 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 14.19/2.24 fof(f532,plain,(
% 14.19/2.24 ~ssList(sk2)|sQ7_spl),
% 14.19/2.24 inference(component_clause,[status(thm)],[f530])).
% 14.19/2.24 fof(f547,plain,(
% 14.19/2.24 $false|sQ7_spl),
% 14.19/2.24 inference(forward_subsumption_resolution,[status(thm)],[f532,f427])).
% 14.19/2.24 fof(f548,plain,(
% 14.19/2.24 sQ7_spl),
% 14.19/2.24 inference(contradiction_clause,[status(thm)],[f547])).
% 14.19/2.24 fof(f549,plain,(
% 14.19/2.24 ![X0]: (~ssList(sk1)|~ssList(X0)|~ssList(nil)|~app(app(sk1,X0),nil)=sk2)),
% 14.19/2.24 inference(resolution,[status(thm)],[f521,f435])).
% 14.19/2.24 fof(f555,definition,(
% 14.19/2.24 sQ11_spl <=> (ssList(sk1))),
% 14.19/2.24 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 14.19/2.27 fof(f557,plain,(
% 14.19/2.27 ~ssList(sk1)|sQ11_spl),
% 14.19/2.27 inference(component_clause,[status(thm)],[f555])).
% 14.19/2.27 fof(f558,definition,(
% 14.19/2.27 ![X0]: (sQ12_spl <=> (~ssList(X0)|~app(app(sk1,X0),nil)=sk2))),
% 14.19/2.27 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 14.19/2.27 fof(f559,plain,(
% 14.19/2.27 ![X0]: (~ssList(X0)|~app(app(sk1,X0),nil)=sk2|~sQ12_spl)),
% 14.19/2.27 inference(component_clause,[status(thm)],[f558])).
% 14.19/2.27 fof(f561,plain,(
% 14.19/2.27 ~sQ11_spl|sQ12_spl|~sQ4_spl),
% 14.19/2.27 inference(split_clause,[status(thm)],[f549,f555,f558,f502])).
% 14.19/2.27 fof(f576,plain,(
% 14.19/2.27 $false|sQ11_spl),
% 14.19/2.27 inference(forward_subsumption_resolution,[status(thm)],[f557,f426])).
% 14.19/2.27 fof(f577,plain,(
% 14.19/2.27 sQ11_spl),
% 14.19/2.27 inference(contradiction_clause,[status(thm)],[f576])).
% 14.19/2.27 fof(f622,definition,(
% 14.19/2.27 sQ16_spl <=> (app(sk2,nil)=sk2)),
% 14.19/2.27 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 14.19/2.27 fof(f624,plain,(
% 14.19/2.27 ~app(sk2,nil)=sk2|sQ16_spl),
% 14.19/2.27 inference(component_clause,[status(thm)],[f622])).
% 14.19/2.27 fof(f2131,plain,(
% 14.19/2.27 ~sk2=sk2|sQ16_spl),
% 14.19/2.27 inference(forward_demodulation,[status(thm)],[f520,f624])).
% 14.19/2.27 fof(f2132,plain,(
% 14.19/2.27 $false|sQ16_spl),
% 14.19/2.27 inference(trivial_equality_resolution,[status(thm)],[f2131])).
% 14.19/2.27 fof(f2133,plain,(
% 14.19/2.27 sQ16_spl),
% 14.19/2.27 inference(contradiction_clause,[status(thm)],[f2132])).
% 14.19/2.27 fof(f7124,plain,(
% 14.19/2.27 ~ssList(sk1)|~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2),
% 14.19/2.27 inference(resolution,[status(thm)],[f340,f477])).
% 14.19/2.27 fof(f7157,definition,(
% 14.19/2.27 sQ382_spl <=> (app(sk1,skaf45(sk2,sk1))=sk2)),
% 14.19/2.27 introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition])).
% 14.19/2.27 fof(f7158,plain,(
% 14.19/2.27 app(sk1,skaf45(sk2,sk1))=sk2|~sQ382_spl),
% 14.19/2.27 inference(component_clause,[status(thm)],[f7157])).
% 14.19/2.27 fof(f7160,plain,(
% 14.19/2.27 ~sQ11_spl|~sQ7_spl|sQ382_spl),
% 14.19/2.27 inference(split_clause,[status(thm)],[f7124,f555,f530,f7157])).
% 14.19/2.27 fof(f7384,plain,(
% 14.19/2.27 ~ssList(skaf45(sk2,sk1))|~app(sk2,nil)=sk2|~sQ12_spl|~sQ382_spl),
% 14.19/2.27 inference(paramodulation,[status(thm)],[f7158,f559])).
% 14.19/2.27 fof(f7396,definition,(
% 14.19/2.27 sQ403_spl <=> (ssList(skaf45(sk2,sk1)))),
% 14.19/2.27 introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition])).
% 14.19/2.27 fof(f7398,plain,(
% 14.19/2.27 ~ssList(skaf45(sk2,sk1))|sQ403_spl),
% 14.19/2.27 inference(component_clause,[status(thm)],[f7396])).
% 14.19/2.27 fof(f7405,plain,(
% 14.19/2.27 ~sQ403_spl|~sQ16_spl|~sQ12_spl|~sQ382_spl),
% 14.19/2.27 inference(split_clause,[status(thm)],[f7384,f7396,f622,f558,f7157])).
% 14.19/2.27 fof(f7432,plain,(
% 14.19/2.27 $false|sQ403_spl),
% 14.19/2.27 inference(forward_subsumption_resolution,[status(thm)],[f7398,f246])).
% 14.19/2.27 fof(f7433,plain,(
% 14.19/2.27 sQ403_spl),
% 14.19/2.27 inference(contradiction_clause,[status(thm)],[f7432])).
% 14.19/2.27 fof(f7434,plain,(
% 14.19/2.27 $false),
% 14.19/2.27 inference(sat_refutation,[status(thm)],[f511,f548,f561,f577,f2133,f7160,f7405,f7433])).
% 14.19/2.27 % SZS output end CNFRefutation for theBenchmark.p
% 14.19/2.31 % Elapsed time: 1.940394 seconds
% 14.19/2.31 % CPU time: 14.809501 seconds
% 14.19/2.31 % Total memory used: 242.414 MB
% 14.19/2.31 % Net memory used: 233.888 MB
%------------------------------------------------------------------------------