%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC398-1 : 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 02:42:22 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 : SWC398-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:24:38 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % 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(f140,axiom,(
% 0.10/0.42 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f186,negated_conjecture,(
% 0.10/0.42 ssList(sk1) ),
% 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 ssList(sk5) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f193,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(f196,negated_conjecture,(
% 0.10/0.42 ssItem(sk6) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f197,negated_conjecture,(
% 0.10/0.42 memberP(sk1,sk6) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f198,negated_conjecture,(
% 0.10/0.42 ~ memberP(sk2,sk6) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f354,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f140])).
% 0.10/0.42 fof(f430,plain,(
% 0.10/0.42 ssList(sk1)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f186])).
% 0.10/0.42 fof(f434,plain,(
% 0.10/0.42 sk2=sk4),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.42 fof(f435,plain,(
% 0.10/0.42 sk1=sk3),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.42 fof(f436,plain,(
% 0.10/0.42 ssList(sk5)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.42 fof(f437,plain,(
% 0.10/0.42 app(sk3,sk5)=sk4),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.42 fof(f441,plain,(
% 0.10/0.42 ssItem(sk6)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f196])).
% 0.10/0.42 fof(f442,plain,(
% 0.10/0.42 memberP(sk1,sk6)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f197])).
% 0.10/0.42 fof(f443,plain,(
% 0.10/0.42 ~memberP(sk2,sk6)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f198])).
% 0.10/0.42 fof(f507,plain,(
% 0.10/0.42 app(sk1,sk5)=sk4),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f435,f437])).
% 0.10/0.42 fof(f508,plain,(
% 0.10/0.42 app(sk1,sk5)=sk2),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f434,f507])).
% 0.10/0.42 fof(f551,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(f553,plain,(
% 0.10/0.42 ~ssList(sk5)|sQ5_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f551])).
% 0.10/0.42 fof(f555,definition,(
% 0.10/0.42 sQ6_spl <=> (ssList(sk1))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f557,plain,(
% 0.10/0.42 ~ssList(sk1)|sQ6_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f555])).
% 0.10/0.42 fof(f585,plain,(
% 0.10/0.42 $false|sQ6_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f557,f430])).
% 0.10/0.42 fof(f586,plain,(
% 0.10/0.42 sQ6_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f585])).
% 0.10/0.42 fof(f588,plain,(
% 0.10/0.42 $false|sQ5_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f553,f436])).
% 0.10/0.42 fof(f589,plain,(
% 0.10/0.42 sQ5_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f588])).
% 0.10/0.42 fof(f926,plain,(
% 0.10/0.42 ![X0]: (~ssList(X0)|~ssList(sk1)|~ssItem(sk6)|memberP(app(sk1,X0),sk6))),
% 0.10/0.42 inference(resolution,[status(thm)],[f354,f442])).
% 0.10/0.42 fof(f931,definition,(
% 0.10/0.42 ![X0]: (sQ13_spl <=> (~ssList(X0)|memberP(app(sk1,X0),sk6)))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f932,plain,(
% 0.10/0.42 ![X0]: (~ssList(X0)|memberP(app(sk1,X0),sk6)|~sQ13_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f931])).
% 0.10/0.42 fof(f934,definition,(
% 0.10/0.42 sQ14_spl <=> (ssItem(sk6))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f936,plain,(
% 0.10/0.42 ~ssItem(sk6)|sQ14_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f934])).
% 0.10/0.42 fof(f937,plain,(
% 0.10/0.42 sQ13_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f926,f931,f555,f934])).
% 0.10/0.42 fof(f940,plain,(
% 0.10/0.42 ~ssList(sk5)|memberP(sk2,sk6)|~sQ13_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f508,f932])).
% 0.10/0.42 fof(f949,definition,(
% 0.10/0.42 sQ17_spl <=> (memberP(sk2,sk6))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f950,plain,(
% 0.10/0.42 memberP(sk2,sk6)|~sQ17_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f949])).
% 0.10/0.42 fof(f952,plain,(
% 0.10/0.42 ~sQ5_spl|sQ17_spl|~sQ13_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f940,f551,f949,f931])).
% 0.10/0.42 fof(f953,plain,(
% 0.10/0.42 $false|sQ14_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f936,f441])).
% 0.10/0.42 fof(f954,plain,(
% 0.10/0.42 sQ14_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f953])).
% 0.10/0.42 fof(f955,plain,(
% 0.10/0.42 $false|~sQ17_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f950,f443])).
% 0.10/0.42 fof(f956,plain,(
% 0.10/0.42 ~sQ17_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f955])).
% 0.10/0.42 fof(f957,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(sat_refutation,[status(thm)],[f586,f589,f937,f952,f954,f956])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.071388 seconds
% 0.10/0.45 % CPU time: 0.247790 seconds
% 0.10/0.45 % Total memory used: 111.089 MB
% 0.10/0.45 % Net memory used: 110.840 MB
%------------------------------------------------------------------------------