%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC097-1 : 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 02:41:34 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC097-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 21 07:55:23 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.32 % Drodi V4.1.1
% 0.07/0.33 % Refutation found
% 0.07/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.33 fof(f190,negated_conjecture,(
% 0.07/0.33 sk2 = sk4 ),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f191,negated_conjecture,(
% 0.07/0.33 sk1 = sk3 ),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f192,negated_conjecture,(
% 0.07/0.33 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f197,negated_conjecture,(
% 0.07/0.33 (![A]: (( ~ ssItem(A)| app(sk1,cons(A,nil)) != sk2| ~ neq(sk4,nil) ) ))),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f198,negated_conjecture,(
% 0.07/0.33 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f199,negated_conjecture,(
% 0.07/0.33 ( app(sk3,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.07/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.33 fof(f434,plain,(
% 0.07/0.33 sk2=sk4),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f190])).
% 0.07/0.33 fof(f435,plain,(
% 0.07/0.33 sk1=sk3),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f191])).
% 0.07/0.33 fof(f436,plain,(
% 0.07/0.33 neq(sk2,nil)|neq(sk2,nil)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f192])).
% 0.07/0.33 fof(f442,plain,(
% 0.07/0.33 (![A]: (~ssItem(A)|~app(sk1,cons(A,nil))=sk2))|~neq(sk4,nil)),
% 0.07/0.33 inference(miniscoping,[status(thm)],[f197])).
% 0.07/0.33 fof(f443,plain,(
% 0.07/0.33 ![X0]: (~ssItem(X0)|~app(sk1,cons(X0,nil))=sk2|~neq(sk4,nil))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f442])).
% 0.07/0.33 fof(f444,plain,(
% 0.07/0.33 ssItem(sk5)|~neq(sk4,nil)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f198])).
% 0.07/0.33 fof(f445,plain,(
% 0.07/0.33 app(sk3,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f199])).
% 0.07/0.33 fof(f453,definition,(
% 0.07/0.33 sQ2_spl <=> (neq(sk2,nil))),
% 0.07/0.33 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.33 fof(f454,plain,(
% 0.07/0.33 neq(sk2,nil)|~sQ2_spl),
% 0.07/0.33 inference(component_clause,[status(thm)],[f453])).
% 0.07/0.33 fof(f456,plain,(
% 0.07/0.33 sQ2_spl),
% 0.07/0.33 inference(split_clause,[status(thm)],[f436,f453])).
% 0.07/0.33 fof(f457,definition,(
% 0.07/0.33 sQ3_spl <=> (neq(sk4,nil))),
% 0.07/0.33 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/0.33 fof(f459,plain,(
% 0.07/0.33 ~neq(sk4,nil)|sQ3_spl),
% 0.07/0.33 inference(component_clause,[status(thm)],[f457])).
% 0.07/0.33 fof(f461,definition,(
% 0.07/0.33 ![X0]: (sQ4_spl <=> (~ssItem(X0)|~app(sk1,cons(X0,nil))=sk2))),
% 0.07/0.33 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.07/0.33 fof(f462,plain,(
% 0.07/0.33 ![X0]: (~ssItem(X0)|~app(sk1,cons(X0,nil))=sk2|~sQ4_spl)),
% 0.07/0.33 inference(component_clause,[status(thm)],[f461])).
% 0.07/0.33 fof(f465,definition,(
% 0.07/0.33 sQ5_spl <=> (ssItem(sk5))),
% 0.07/0.33 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.07/0.33 fof(f466,plain,(
% 0.07/0.33 ssItem(sk5)|~sQ5_spl),
% 0.07/0.33 inference(component_clause,[status(thm)],[f465])).
% 0.07/0.33 fof(f469,definition,(
% 0.07/0.33 sQ6_spl <=> (app(sk3,cons(sk5,nil))=sk4)),
% 0.07/0.33 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.07/0.33 fof(f470,plain,(
% 0.07/0.33 app(sk3,cons(sk5,nil))=sk4|~sQ6_spl),
% 0.07/0.33 inference(component_clause,[status(thm)],[f469])).
% 0.07/0.33 fof(f473,plain,(
% 0.07/0.33 sQ4_spl|~sQ3_spl),
% 0.07/0.33 inference(split_clause,[status(thm)],[f443,f461,f457])).
% 0.07/0.33 fof(f474,plain,(
% 0.07/0.33 sQ5_spl|~sQ3_spl),
% 0.07/0.33 inference(split_clause,[status(thm)],[f444,f465,f457])).
% 0.07/0.33 fof(f475,plain,(
% 0.07/0.33 sQ6_spl|~sQ3_spl),
% 0.07/0.33 inference(split_clause,[status(thm)],[f445,f469,f457])).
% 0.07/0.33 fof(f507,plain,(
% 0.07/0.33 neq(sk4,nil)|~sQ2_spl),
% 0.07/0.33 inference(forward_demodulation,[status(thm)],[f434,f454])).
% 0.07/0.33 fof(f508,plain,(
% 0.07/0.33 $false|~sQ2_spl|sQ3_spl),
% 0.07/0.33 inference(forward_subsumption_resolution,[status(thm)],[f459,f507])).
% 0.07/0.33 fof(f509,plain,(
% 0.07/0.33 ~sQ2_spl|sQ3_spl),
% 0.07/0.33 inference(contradiction_clause,[status(thm)],[f508])).
% 0.07/0.33 fof(f510,plain,(
% 0.07/0.33 ![X0]: (~ssItem(X0)|~app(sk3,cons(X0,nil))=sk2|~sQ4_spl)),
% 0.07/0.33 inference(forward_demodulation,[status(thm)],[f435,f462])).
% 0.07/0.33 fof(f511,plain,(
% 0.07/0.33 ![X0]: (~ssItem(X0)|~app(sk3,cons(X0,nil))=sk4|~sQ4_spl)),
% 0.07/0.33 inference(forward_demodulation,[status(thm)],[f434,f510])).
% 0.07/0.33 fof(f728,plain,(
% 0.07/0.33 ~ssItem(sk5)|~sQ6_spl|~sQ4_spl),
% 0.07/0.33 inference(resolution,[status(thm)],[f470,f511])).
% 0.07/0.33 fof(f730,plain,(
% 0.07/0.33 $false|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.07/0.33 inference(forward_subsumption_resolution,[status(thm)],[f728,f466])).
% 0.07/0.33 fof(f731,plain,(
% 0.07/0.33 ~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.07/0.33 inference(contradiction_clause,[status(thm)],[f730])).
% 0.07/0.33 fof(f732,plain,(
% 0.07/0.33 $false),
% 0.07/0.33 inference(sat_refutation,[status(thm)],[f456,f473,f474,f475,f509,f731])).
% 0.07/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.36 % Elapsed time: 0.038301 seconds
% 0.07/0.36 % CPU time: 0.097108 seconds
% 0.07/0.36 % Total memory used: 109.175 MB
% 0.07/0.36 % Net memory used: 109.012 MB
%------------------------------------------------------------------------------