%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC009-1 : 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 : n013.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 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 07:48:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f8,axiom,(
% 0.10/0.42 ssList(nil) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f73,axiom,(
% 0.10/0.42 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f188,negated_conjecture,(
% 0.10/0.42 ssList(sk3) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f189,negated_conjecture,(
% 0.10/0.42 ssList(sk4) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f190,negated_conjecture,(
% 0.10/0.42 sk2 = sk4 ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f191,negated_conjecture,(
% 0.10/0.42 sk1 = sk3 ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f192,negated_conjecture,(
% 0.10/0.42 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk2| app(A,C) != sk1 ) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f193,negated_conjecture,(
% 0.10/0.42 ssList(sk5) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f194,negated_conjecture,(
% 0.10/0.42 app(sk3,sk5) = sk4 ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f205,plain,(
% 0.10/0.42 ssList(nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.42 fof(f271,plain,(
% 0.10/0.42 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f73])).
% 0.10/0.42 fof(f430,plain,(
% 0.10/0.42 ssList(sk3)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f188])).
% 0.10/0.42 fof(f431,plain,(
% 0.10/0.42 ssList(sk4)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f189])).
% 0.10/0.42 fof(f432,plain,(
% 0.10/0.42 sk2=sk4),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.42 fof(f433,plain,(
% 0.10/0.42 sk1=sk3),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.42 fof(f434,plain,(
% 0.10/0.42 ![A,C]: ((![B]: (((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk2))|~app(A,C)=sk1)),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f192])).
% 0.10/0.42 fof(f435,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f434])).
% 0.10/0.42 fof(f436,plain,(
% 0.10/0.42 ssList(sk5)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.42 fof(f437,plain,(
% 0.10/0.42 app(sk3,sk5)=sk4),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f194])).
% 0.10/0.42 fof(f520,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk4|~app(X0,X2)=sk1)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f432,f435])).
% 0.10/0.42 fof(f521,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk4|~app(X0,X2)=sk3)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f433,f520])).
% 0.10/0.42 fof(f526,plain,(
% 0.10/0.42 ![X0]: (~ssList(sk3)|~ssList(sk5)|~ssList(X0)|~app(sk4,X0)=sk4|~app(sk3,X0)=sk3)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f437,f521])).
% 0.10/0.42 fof(f530,definition,(
% 0.10/0.42 sQ5_spl <=> (ssList(sk5))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f532,plain,(
% 0.10/0.42 ~ssList(sk5)|sQ5_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f530])).
% 0.10/0.42 fof(f545,definition,(
% 0.10/0.42 sQ9_spl <=> (ssList(sk3))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f547,plain,(
% 0.10/0.42 ~ssList(sk3)|sQ9_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f545])).
% 0.10/0.42 fof(f552,definition,(
% 0.10/0.42 ![X0]: (sQ11_spl <=> (~ssList(X0)|~app(sk4,X0)=sk4|~app(sk3,X0)=sk3))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f553,plain,(
% 0.10/0.42 ![X0]: (~ssList(X0)|~app(sk4,X0)=sk4|~app(sk3,X0)=sk3|~sQ11_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f552])).
% 0.10/0.42 fof(f555,plain,(
% 0.10/0.42 ~sQ9_spl|~sQ5_spl|sQ11_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f526,f545,f530,f552])).
% 0.10/0.42 fof(f558,plain,(
% 0.10/0.42 $false|sQ5_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f532,f436])).
% 0.10/0.42 fof(f559,plain,(
% 0.10/0.42 sQ5_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f558])).
% 0.10/0.42 fof(f560,plain,(
% 0.10/0.42 $false|sQ9_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f547,f430])).
% 0.10/0.42 fof(f561,plain,(
% 0.10/0.42 sQ9_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f560])).
% 0.10/0.42 fof(f572,definition,(
% 0.10/0.42 sQ12_spl <=> (ssList(nil))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f574,plain,(
% 0.10/0.42 ~ssList(nil)|sQ12_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f572])).
% 0.10/0.42 fof(f579,plain,(
% 0.10/0.42 $false|sQ12_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f574,f205])).
% 0.10/0.42 fof(f580,plain,(
% 0.10/0.42 sQ12_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f579])).
% 0.10/0.42 fof(f603,plain,(
% 0.10/0.42 app(sk4,nil)=sk4),
% 0.10/0.42 inference(resolution,[status(thm)],[f271,f431])).
% 0.10/0.42 fof(f604,plain,(
% 0.10/0.42 app(sk3,nil)=sk3),
% 0.10/0.42 inference(resolution,[status(thm)],[f271,f430])).
% 0.10/0.42 fof(f780,plain,(
% 0.10/0.42 ~ssList(nil)|~app(sk4,nil)=sk4|~sQ11_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f553,f604])).
% 0.10/0.42 fof(f783,definition,(
% 0.10/0.42 sQ17_spl <=> (app(sk4,nil)=sk4)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f785,plain,(
% 0.10/0.42 ~app(sk4,nil)=sk4|sQ17_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f783])).
% 0.10/0.42 fof(f786,plain,(
% 0.10/0.42 ~sQ12_spl|~sQ17_spl|~sQ11_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f780,f572,f783,f552])).
% 0.10/0.42 fof(f798,plain,(
% 0.10/0.42 ~sk4=sk4|sQ17_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f603,f785])).
% 0.10/0.42 fof(f799,plain,(
% 0.10/0.42 $false|sQ17_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f798])).
% 0.10/0.42 fof(f800,plain,(
% 0.10/0.42 sQ17_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f799])).
% 0.10/0.42 fof(f801,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(sat_refutation,[status(thm)],[f555,f559,f561,f580,f786,f800])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.070422 seconds
% 0.10/0.46 % CPU time: 0.185843 seconds
% 0.10/0.46 % Total memory used: 109.333 MB
% 0.10/0.46 % Net memory used: 109.149 MB
%------------------------------------------------------------------------------