%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC041-1 : 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 : n016.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 02:41:25 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC041-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 07:55:54 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f118,axiom,(
% 0.18/0.49 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f188,negated_conjecture,(
% 0.18/0.49 ssList(sk3) ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f190,negated_conjecture,(
% 0.18/0.49 nil = sk2 ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f191,negated_conjecture,(
% 0.18/0.49 sk2 = sk4 ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f192,negated_conjecture,(
% 0.18/0.49 sk1 = sk3 ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f193,negated_conjecture,(
% 0.18/0.49 nil != sk1 ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f194,negated_conjecture,(
% 0.18/0.49 ssList(sk5) ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f195,negated_conjecture,(
% 0.18/0.49 app(sk3,sk5) = sk4 ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f325,plain,(
% 0.18/0.49 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f118])).
% 0.18/0.49 fof(f326,plain,(
% 0.18/0.49 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f325])).
% 0.18/0.49 fof(f431,plain,(
% 0.18/0.49 ssList(sk3)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f188])).
% 0.18/0.49 fof(f433,plain,(
% 0.18/0.49 nil=sk2),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f190])).
% 0.18/0.49 fof(f434,plain,(
% 0.18/0.49 sk2=sk4),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f191])).
% 0.18/0.49 fof(f435,plain,(
% 0.18/0.49 sk1=sk3),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f192])).
% 0.18/0.49 fof(f436,plain,(
% 0.18/0.49 ~nil=sk1),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f193])).
% 0.18/0.49 fof(f437,plain,(
% 0.18/0.49 ssList(sk5)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f194])).
% 0.18/0.49 fof(f438,plain,(
% 0.18/0.49 app(sk3,sk5)=sk4),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f195])).
% 0.18/0.49 fof(f450,definition,(
% 0.18/0.49 sQ2_spl <=> (nil=sk4)),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f451,plain,(
% 0.18/0.49 nil=sk4|~sQ2_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f450])).
% 0.18/0.49 fof(f452,plain,(
% 0.18/0.49 ~nil=sk4|sQ2_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f450])).
% 0.18/0.49 fof(f486,plain,(
% 0.18/0.49 nil=sk4),
% 0.18/0.49 inference(backward_demodulation,[status(thm)],[f434,f433])).
% 0.18/0.49 fof(f489,plain,(
% 0.18/0.49 ~nil=sk3),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f435,f436])).
% 0.18/0.49 fof(f754,plain,(
% 0.18/0.49 ![X0,X1]: (~app(X0,X1)=sk4|~ssList(X1)|~ssList(X0)|nil=X0|~sQ2_spl)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f451,f326])).
% 0.18/0.49 fof(f755,plain,(
% 0.18/0.49 ![X0,X1]: (~app(X0,X1)=sk4|~ssList(X1)|~ssList(X0)|sk4=X0|~sQ2_spl)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f451,f754])).
% 0.18/0.49 fof(f757,plain,(
% 0.18/0.49 ~ssList(sk5)|~ssList(sk3)|sk4=sk3|~sQ2_spl),
% 0.18/0.49 inference(resolution,[status(thm)],[f755,f438])).
% 0.18/0.49 fof(f781,definition,(
% 0.18/0.49 sQ6_spl <=> (ssList(sk5))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f783,plain,(
% 0.18/0.49 ~ssList(sk5)|sQ6_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f781])).
% 0.18/0.49 fof(f784,definition,(
% 0.18/0.49 sQ7_spl <=> (ssList(sk3))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f786,plain,(
% 0.18/0.49 ~ssList(sk3)|sQ7_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f784])).
% 0.18/0.49 fof(f787,definition,(
% 0.18/0.49 sQ8_spl <=> (sk4=sk3)),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f788,plain,(
% 0.18/0.49 sk4=sk3|~sQ8_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f787])).
% 0.18/0.49 fof(f790,plain,(
% 0.18/0.49 ~sQ6_spl|~sQ7_spl|sQ8_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f757,f781,f784,f787,f450])).
% 0.18/0.49 fof(f857,plain,(
% 0.18/0.49 ~sk4=sk3),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f486,f489])).
% 0.18/0.49 fof(f860,plain,(
% 0.18/0.49 ~sk4=sk4|sQ2_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f486,f452])).
% 0.18/0.49 fof(f861,plain,(
% 0.18/0.49 $false|sQ2_spl),
% 0.18/0.49 inference(trivial_equality_resolution,[status(thm)],[f860])).
% 0.18/0.49 fof(f862,plain,(
% 0.18/0.49 sQ2_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f861])).
% 0.18/0.49 fof(f863,plain,(
% 0.18/0.49 $false|sQ7_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f786,f431])).
% 0.18/0.52 fof(f864,plain,(
% 0.18/0.52 sQ7_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f863])).
% 0.18/0.52 fof(f865,plain,(
% 0.18/0.52 $false|sQ6_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f783,f437])).
% 0.18/0.52 fof(f866,plain,(
% 0.18/0.52 sQ6_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f865])).
% 0.18/0.52 fof(f867,plain,(
% 0.18/0.52 $false|~sQ8_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f788,f857])).
% 0.18/0.52 fof(f868,plain,(
% 0.18/0.52 ~sQ8_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f867])).
% 0.18/0.52 fof(f869,plain,(
% 0.18/0.52 $false),
% 0.18/0.52 inference(sat_refutation,[status(thm)],[f790,f862,f864,f866,f868])).
% 0.18/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.53 % Elapsed time: 0.074529 seconds
% 0.18/0.53 % CPU time: 0.293922 seconds
% 0.18/0.53 % Total memory used: 100.090 MB
% 0.18/0.53 % Net memory used: 99.870 MB
%------------------------------------------------------------------------------