%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC209-1 : 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 : n003.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 02:41:52 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC209-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n003.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 08:06:16 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.52 fof(f190,negated_conjecture,(
% 0.19/0.52 sk2 = sk4 ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f191,negated_conjecture,(
% 0.19/0.52 sk1 = sk3 ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f192,negated_conjecture,(
% 0.19/0.52 neq(sk2,nil) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f193,negated_conjecture,(
% 0.19/0.52 ~ neq(sk1,nil) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f194,negated_conjecture,(
% 0.19/0.52 ( nil = sk4| neq(sk3,nil) ) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f196,negated_conjecture,(
% 0.19/0.52 ( nil = sk3| neq(sk3,nil) ) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f432,plain,(
% 0.19/0.52 sk2=sk4),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f190])).
% 0.19/0.52 fof(f433,plain,(
% 0.19/0.52 sk1=sk3),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f191])).
% 0.19/0.52 fof(f434,plain,(
% 0.19/0.52 neq(sk2,nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f192])).
% 0.19/0.52 fof(f435,plain,(
% 0.19/0.52 ~neq(sk1,nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f193])).
% 0.19/0.52 fof(f436,plain,(
% 0.19/0.52 nil=sk4|neq(sk3,nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f194])).
% 0.19/0.52 fof(f438,plain,(
% 0.19/0.52 nil=sk3|neq(sk3,nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f196])).
% 0.19/0.52 fof(f447,definition,(
% 0.19/0.52 sQ2_spl <=> (nil=sk4)),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f448,plain,(
% 0.19/0.52 nil=sk4|~sQ2_spl),
% 0.19/0.52 inference(component_clause,[status(thm)],[f447])).
% 0.19/0.52 fof(f450,definition,(
% 0.19/0.52 sQ3_spl <=> (neq(sk3,nil))),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f451,plain,(
% 0.19/0.52 neq(sk3,nil)|~sQ3_spl),
% 0.19/0.52 inference(component_clause,[status(thm)],[f450])).
% 0.19/0.52 fof(f453,plain,(
% 0.19/0.52 sQ2_spl|sQ3_spl),
% 0.19/0.52 inference(split_clause,[status(thm)],[f436,f447,f450])).
% 0.19/0.52 fof(f458,definition,(
% 0.19/0.52 sQ5_spl <=> (nil=sk3)),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f459,plain,(
% 0.19/0.52 nil=sk3|~sQ5_spl),
% 0.19/0.52 inference(component_clause,[status(thm)],[f458])).
% 0.19/0.52 fof(f461,plain,(
% 0.19/0.52 sQ5_spl|sQ3_spl),
% 0.19/0.52 inference(split_clause,[status(thm)],[f438,f458,f450])).
% 0.19/0.52 fof(f495,plain,(
% 0.19/0.52 sk4=sk3|~sQ2_spl|~sQ5_spl),
% 0.19/0.52 inference(backward_demodulation,[status(thm)],[f448,f459])).
% 0.19/0.52 fof(f496,plain,(
% 0.19/0.52 sk1=sk4|~sQ2_spl|~sQ5_spl),
% 0.19/0.52 inference(backward_demodulation,[status(thm)],[f495,f433])).
% 0.19/0.52 fof(f498,plain,(
% 0.19/0.52 neq(sk4,nil)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f432,f434])).
% 0.19/0.52 fof(f499,plain,(
% 0.19/0.52 neq(sk4,sk4)|~sQ2_spl),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f448,f498])).
% 0.19/0.52 fof(f500,plain,(
% 0.19/0.52 ~neq(sk4,nil)|~sQ2_spl|~sQ5_spl),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f496,f435])).
% 0.19/0.52 fof(f501,plain,(
% 0.19/0.52 ~neq(sk4,sk4)|~sQ2_spl|~sQ5_spl),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f448,f500])).
% 0.19/0.52 fof(f502,plain,(
% 0.19/0.52 $false|~sQ2_spl|~sQ5_spl),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f501,f499])).
% 0.19/0.52 fof(f503,plain,(
% 0.19/0.52 ~sQ2_spl|~sQ5_spl),
% 0.19/0.52 inference(contradiction_clause,[status(thm)],[f502])).
% 0.19/0.52 fof(f516,plain,(
% 0.19/0.52 ~neq(sk3,nil)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 0.19/0.52 fof(f517,plain,(
% 0.19/0.52 $false|~sQ3_spl),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f516,f451])).
% 0.19/0.52 fof(f518,plain,(
% 0.19/0.52 ~sQ3_spl),
% 0.19/0.52 inference(contradiction_clause,[status(thm)],[f517])).
% 0.19/0.52 fof(f519,plain,(
% 0.19/0.52 $false),
% 0.19/0.52 inference(sat_refutation,[status(thm)],[f453,f461,f503,f518])).
% 0.19/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.61 % Elapsed time: 0.144602 seconds
% 0.28/0.61 % CPU time: 0.129248 seconds
% 0.28/0.61 % Total memory used: 17.004 MB
% 0.28/0.61 % Net memory used: 16.978 MB
%------------------------------------------------------------------------------