%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC189-1 : 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 : n012.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 02:41:49 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 08:02:36 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % Drodi V4.1.1
% 0.02/0.31 % Refutation found
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.31 fof(f191,negated_conjecture,(
% 0.02/0.31 sk1 = sk3 ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f192,negated_conjecture,(
% 0.02/0.31 (![A,B,C,D]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| ~ ssList(D)| A = B| app(app(app(C,cons(A,nil)),cons(B,nil)),D) != sk3 ) ))),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f193,negated_conjecture,(
% 0.02/0.31 ssItem(sk5) ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f194,negated_conjecture,(
% 0.02/0.31 ssItem(sk6) ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f195,negated_conjecture,(
% 0.02/0.31 ssList(sk7) ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f196,negated_conjecture,(
% 0.02/0.31 ssList(sk8) ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f197,negated_conjecture,(
% 0.02/0.31 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f198,negated_conjecture,(
% 0.02/0.31 sk5 != sk6 ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f434,plain,(
% 0.02/0.31 sk1=sk3),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f191])).
% 0.02/0.31 fof(f435,plain,(
% 0.02/0.31 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|X0=X1|~app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3)=sk3)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f192])).
% 0.02/0.31 fof(f436,plain,(
% 0.02/0.31 ssItem(sk5)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f193])).
% 0.02/0.31 fof(f437,plain,(
% 0.02/0.31 ssItem(sk6)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f194])).
% 0.02/0.31 fof(f438,plain,(
% 0.02/0.31 ssList(sk7)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f195])).
% 0.02/0.31 fof(f439,plain,(
% 0.02/0.31 ssList(sk8)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f196])).
% 0.02/0.31 fof(f440,plain,(
% 0.02/0.31 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk1),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f197])).
% 0.02/0.31 fof(f441,plain,(
% 0.02/0.31 ~sk5=sk6),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f198])).
% 0.02/0.31 fof(f627,plain,(
% 0.02/0.31 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk3),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f434,f440])).
% 0.02/0.31 fof(f628,plain,(
% 0.02/0.31 ~ssItem(sk5)|~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|sk5=sk6),
% 0.02/0.31 inference(resolution,[status(thm)],[f627,f435])).
% 0.02/0.31 fof(f630,definition,(
% 0.02/0.31 sQ2_spl <=> (ssItem(sk5))),
% 0.02/0.31 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.02/0.31 fof(f632,plain,(
% 0.02/0.31 ~ssItem(sk5)|sQ2_spl),
% 0.02/0.31 inference(component_clause,[status(thm)],[f630])).
% 0.02/0.31 fof(f633,definition,(
% 0.02/0.31 sQ3_spl <=> (ssItem(sk6))),
% 0.02/0.31 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.02/0.31 fof(f635,plain,(
% 0.02/0.31 ~ssItem(sk6)|sQ3_spl),
% 0.02/0.31 inference(component_clause,[status(thm)],[f633])).
% 0.02/0.31 fof(f636,definition,(
% 0.02/0.31 sQ4_spl <=> (ssList(sk7))),
% 0.02/0.31 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.02/0.31 fof(f638,plain,(
% 0.02/0.31 ~ssList(sk7)|sQ4_spl),
% 0.02/0.31 inference(component_clause,[status(thm)],[f636])).
% 0.02/0.31 fof(f639,definition,(
% 0.02/0.31 sQ5_spl <=> (ssList(sk8))),
% 0.02/0.31 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.02/0.31 fof(f641,plain,(
% 0.02/0.31 ~ssList(sk8)|sQ5_spl),
% 0.02/0.31 inference(component_clause,[status(thm)],[f639])).
% 0.02/0.31 fof(f642,definition,(
% 0.02/0.31 sQ6_spl <=> (sk5=sk6)),
% 0.02/0.31 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.02/0.31 fof(f643,plain,(
% 0.02/0.31 sk5=sk6|~sQ6_spl),
% 0.02/0.31 inference(component_clause,[status(thm)],[f642])).
% 0.02/0.31 fof(f645,plain,(
% 0.02/0.31 ~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|sQ6_spl),
% 0.02/0.31 inference(split_clause,[status(thm)],[f628,f630,f633,f636,f639,f642])).
% 0.02/0.31 fof(f650,plain,(
% 0.02/0.31 $false|~sQ6_spl),
% 0.02/0.31 inference(forward_subsumption_resolution,[status(thm)],[f643,f441])).
% 0.02/0.31 fof(f651,plain,(
% 0.02/0.31 ~sQ6_spl),
% 0.02/0.31 inference(contradiction_clause,[status(thm)],[f650])).
% 0.02/0.31 fof(f652,plain,(
% 0.02/0.31 $false|sQ5_spl),
% 0.02/0.31 inference(forward_subsumption_resolution,[status(thm)],[f641,f439])).
% 0.02/0.31 fof(f653,plain,(
% 0.02/0.31 sQ5_spl),
% 0.02/0.31 inference(contradiction_clause,[status(thm)],[f652])).
% 0.02/0.31 fof(f654,plain,(
% 0.02/0.31 $false|sQ4_spl),
% 0.02/0.31 inference(forward_subsumption_resolution,[status(thm)],[f638,f438])).
% 0.02/0.32 fof(f655,plain,(
% 0.02/0.32 sQ4_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f654])).
% 0.02/0.32 fof(f656,plain,(
% 0.02/0.32 $false|sQ2_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f632,f436])).
% 0.02/0.32 fof(f657,plain,(
% 0.02/0.32 sQ2_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f656])).
% 0.02/0.32 fof(f658,plain,(
% 0.02/0.32 $false|sQ3_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f635,f437])).
% 0.02/0.32 fof(f659,plain,(
% 0.02/0.32 sQ3_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f658])).
% 0.02/0.32 fof(f660,plain,(
% 0.02/0.32 $false),
% 0.02/0.32 inference(sat_refutation,[status(thm)],[f645,f651,f653,f655,f657,f659])).
% 0.02/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.33 % Elapsed time: 0.032094 seconds
% 0.07/0.33 % CPU time: 0.081855 seconds
% 0.07/0.33 % Total memory used: 75.038 MB
% 0.07/0.33 % Net memory used: 74.917 MB
%------------------------------------------------------------------------------