%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC042-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n009.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % 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 07:50:58 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f118,axiom,(
% 0.18/0.47 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f188,negated_conjecture,(
% 0.18/0.47 ssList(sk3) ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f190,negated_conjecture,(
% 0.18/0.47 nil = sk2 ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f191,negated_conjecture,(
% 0.18/0.47 sk2 = sk4 ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f192,negated_conjecture,(
% 0.18/0.47 sk1 = sk3 ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f193,negated_conjecture,(
% 0.18/0.47 nil != sk1 ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f194,negated_conjecture,(
% 0.18/0.47 ssList(sk5) ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f195,negated_conjecture,(
% 0.18/0.47 app(sk3,sk5) = sk4 ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f325,plain,(
% 0.18/0.47 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.18/0.47 inference(miniscoping,[status(thm)],[f118])).
% 0.18/0.47 fof(f326,plain,(
% 0.18/0.47 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f325])).
% 0.18/0.47 fof(f431,plain,(
% 0.18/0.47 ssList(sk3)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f188])).
% 0.18/0.47 fof(f433,plain,(
% 0.18/0.47 nil=sk2),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f190])).
% 0.18/0.47 fof(f434,plain,(
% 0.18/0.47 sk2=sk4),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f191])).
% 0.18/0.47 fof(f435,plain,(
% 0.18/0.47 sk1=sk3),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f192])).
% 0.18/0.47 fof(f436,plain,(
% 0.18/0.47 ~nil=sk1),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f193])).
% 0.18/0.47 fof(f437,plain,(
% 0.18/0.47 ssList(sk5)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f194])).
% 0.18/0.47 fof(f438,plain,(
% 0.18/0.47 app(sk3,sk5)=sk4),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f195])).
% 0.18/0.47 fof(f450,definition,(
% 0.18/0.47 sQ2_spl <=> (nil=sk4)),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f451,plain,(
% 0.18/0.47 nil=sk4|~sQ2_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f450])).
% 0.18/0.47 fof(f452,plain,(
% 0.18/0.47 ~nil=sk4|sQ2_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f450])).
% 0.18/0.47 fof(f486,plain,(
% 0.18/0.47 nil=sk4),
% 0.18/0.47 inference(backward_demodulation,[status(thm)],[f434,f433])).
% 0.18/0.47 fof(f489,plain,(
% 0.18/0.47 ~nil=sk3),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f435,f436])).
% 0.18/0.47 fof(f697,plain,(
% 0.18/0.47 ![X0,X1]: (~app(X0,X1)=sk4|~ssList(X1)|~ssList(X0)|nil=X0|~sQ2_spl)),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f451,f326])).
% 0.18/0.47 fof(f698,plain,(
% 0.18/0.47 ![X0,X1]: (~app(X0,X1)=sk4|~ssList(X1)|~ssList(X0)|sk4=X0|~sQ2_spl)),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f451,f697])).
% 0.18/0.47 fof(f700,plain,(
% 0.18/0.47 ~ssList(sk5)|~ssList(sk3)|sk4=sk3|~sQ2_spl),
% 0.18/0.47 inference(resolution,[status(thm)],[f698,f438])).
% 0.18/0.47 fof(f716,definition,(
% 0.18/0.47 sQ6_spl <=> (ssList(sk5))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f718,plain,(
% 0.18/0.47 ~ssList(sk5)|sQ6_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f716])).
% 0.18/0.48 fof(f719,definition,(
% 0.18/0.48 sQ7_spl <=> (ssList(sk3))),
% 0.18/0.48 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.48 fof(f721,plain,(
% 0.18/0.48 ~ssList(sk3)|sQ7_spl),
% 0.18/0.48 inference(component_clause,[status(thm)],[f719])).
% 0.18/0.48 fof(f722,definition,(
% 0.18/0.48 sQ8_spl <=> (sk4=sk3)),
% 0.18/0.48 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.48 fof(f723,plain,(
% 0.18/0.48 sk4=sk3|~sQ8_spl),
% 0.18/0.48 inference(component_clause,[status(thm)],[f722])).
% 0.18/0.48 fof(f725,plain,(
% 0.18/0.48 ~sQ6_spl|~sQ7_spl|sQ8_spl|~sQ2_spl),
% 0.18/0.48 inference(split_clause,[status(thm)],[f700,f716,f719,f722,f450])).
% 0.18/0.48 fof(f760,plain,(
% 0.18/0.48 ~sk4=sk3),
% 0.18/0.48 inference(forward_demodulation,[status(thm)],[f486,f489])).
% 0.18/0.48 fof(f763,plain,(
% 0.18/0.48 ~sk4=sk4|sQ2_spl),
% 0.18/0.48 inference(forward_demodulation,[status(thm)],[f486,f452])).
% 0.18/0.48 fof(f764,plain,(
% 0.18/0.48 $false|sQ2_spl),
% 0.18/0.48 inference(trivial_equality_resolution,[status(thm)],[f763])).
% 0.18/0.48 fof(f765,plain,(
% 0.18/0.48 sQ2_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f764])).
% 0.18/0.48 fof(f766,plain,(
% 0.18/0.48 $false|sQ7_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f721,f431])).
% 0.18/0.49 fof(f767,plain,(
% 0.18/0.49 sQ7_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f766])).
% 0.18/0.49 fof(f768,plain,(
% 0.18/0.49 $false|sQ6_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f718,f437])).
% 0.18/0.49 fof(f769,plain,(
% 0.18/0.49 sQ6_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f768])).
% 0.18/0.49 fof(f770,plain,(
% 0.18/0.49 $false|~sQ8_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f723,f760])).
% 0.18/0.49 fof(f771,plain,(
% 0.18/0.49 ~sQ8_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f770])).
% 0.18/0.49 fof(f772,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(sat_refutation,[status(thm)],[f725,f765,f767,f769,f771])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 % Elapsed time: 0.069037 seconds
% 0.18/0.50 % CPU time: 0.191760 seconds
% 0.18/0.50 % Total memory used: 48.108 MB
% 0.18/0.50 % Net memory used: 48.020 MB
%------------------------------------------------------------------------------