%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC050-1 : 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 : n004.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 02:41:26 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC050-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n004.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Mon Sep 21 07:51:05 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.54 % Drodi V4.1.1
% 0.13/0.56 % Refutation found
% 0.13/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.56 fof(f190,negated_conjecture,(
% 0.13/0.56 sk2 = sk4 ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f191,negated_conjecture,(
% 0.13/0.56 sk1 = sk3 ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f192,negated_conjecture,(
% 0.13/0.56 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f199,negated_conjecture,(
% 0.13/0.56 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A)| ~ neq(sk4,nil) ) ))),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f200,negated_conjecture,(
% 0.13/0.56 ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f201,negated_conjecture,(
% 0.13/0.56 ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f202,negated_conjecture,(
% 0.13/0.56 ( rearsegP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f203,negated_conjecture,(
% 0.13/0.56 ( rearsegP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f438,plain,(
% 0.13/0.56 sk2=sk4),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.56 fof(f439,plain,(
% 0.13/0.56 sk1=sk3),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.56 fof(f440,plain,(
% 0.13/0.56 neq(sk2,nil)|neq(sk2,nil)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.56 fof(f448,plain,(
% 0.13/0.56 (![A]: (((~ssList(A)|~neq(A,nil))|~rearsegP(sk2,A))|~rearsegP(sk1,A)))|~neq(sk4,nil)),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f199])).
% 0.13/0.56 fof(f449,plain,(
% 0.13/0.56 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)|~neq(sk4,nil))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f448])).
% 0.13/0.56 fof(f450,plain,(
% 0.13/0.56 ssList(sk5)|~neq(sk4,nil)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f200])).
% 0.13/0.56 fof(f451,plain,(
% 0.13/0.56 neq(sk5,nil)|~neq(sk4,nil)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f201])).
% 0.13/0.56 fof(f452,plain,(
% 0.13/0.56 rearsegP(sk4,sk5)|~neq(sk4,nil)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f202])).
% 0.13/0.56 fof(f453,plain,(
% 0.13/0.56 rearsegP(sk3,sk5)|~neq(sk4,nil)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f203])).
% 0.13/0.56 fof(f461,definition,(
% 0.13/0.56 sQ2_spl <=> (neq(sk2,nil))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f462,plain,(
% 0.13/0.56 neq(sk2,nil)|~sQ2_spl),
% 0.13/0.56 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.56 fof(f464,plain,(
% 0.13/0.56 sQ2_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f440,f461])).
% 0.13/0.56 fof(f465,definition,(
% 0.13/0.56 sQ3_spl <=> (neq(sk4,nil))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f467,plain,(
% 0.13/0.56 ~neq(sk4,nil)|sQ3_spl),
% 0.13/0.56 inference(component_clause,[status(thm)],[f465])).
% 0.13/0.56 fof(f469,definition,(
% 0.13/0.56 ![X0]: (sQ4_spl <=> (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f470,plain,(
% 0.13/0.56 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)|~sQ4_spl)),
% 0.13/0.56 inference(component_clause,[status(thm)],[f469])).
% 0.13/0.56 fof(f473,definition,(
% 0.13/0.56 sQ5_spl <=> (ssList(sk5))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f477,definition,(
% 0.13/0.56 sQ6_spl <=> (neq(sk5,nil))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f481,definition,(
% 0.13/0.56 sQ7_spl <=> (rearsegP(sk4,sk5))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f482,plain,(
% 0.13/0.56 rearsegP(sk4,sk5)|~sQ7_spl),
% 0.13/0.56 inference(component_clause,[status(thm)],[f481])).
% 0.13/0.56 fof(f485,definition,(
% 0.13/0.56 sQ8_spl <=> (rearsegP(sk3,sk5))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f489,plain,(
% 0.13/0.56 sQ4_spl|~sQ3_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f449,f469,f465])).
% 0.13/0.56 fof(f490,plain,(
% 0.13/0.56 sQ5_spl|~sQ3_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f450,f473,f465])).
% 0.13/0.56 fof(f491,plain,(
% 0.13/0.56 sQ6_spl|~sQ3_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f451,f477,f465])).
% 0.13/0.56 fof(f492,plain,(
% 0.13/0.56 sQ7_spl|~sQ3_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f452,f481,f465])).
% 0.13/0.56 fof(f493,plain,(
% 0.13/0.56 sQ8_spl|~sQ3_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f453,f485,f465])).
% 0.13/0.56 fof(f525,plain,(
% 0.13/0.56 neq(sk4,nil)|~sQ2_spl),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f438,f462])).
% 0.13/0.56 fof(f526,plain,(
% 0.13/0.56 $false|~sQ2_spl|sQ3_spl),
% 0.13/0.56 inference(forward_subsumption_resolution,[status(thm)],[f467,f525])).
% 0.13/0.56 fof(f527,plain,(
% 0.13/0.56 ~sQ2_spl|sQ3_spl),
% 0.13/0.56 inference(contradiction_clause,[status(thm)],[f526])).
% 0.13/0.56 fof(f528,plain,(
% 0.13/0.56 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~rearsegP(sk1,X0)|~sQ4_spl)),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f438,f470])).
% 0.13/0.56 fof(f529,plain,(
% 0.13/0.56 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~rearsegP(sk3,X0)|~sQ4_spl)),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f439,f528])).
% 0.13/0.56 fof(f548,plain,(
% 0.13/0.56 ~ssList(sk5)|~neq(sk5,nil)|~rearsegP(sk3,sk5)|~sQ4_spl|~sQ7_spl),
% 0.13/0.56 inference(resolution,[status(thm)],[f529,f482])).
% 0.13/0.56 fof(f569,plain,(
% 0.13/0.56 ~sQ5_spl|~sQ6_spl|~sQ8_spl|~sQ4_spl|~sQ7_spl),
% 0.13/0.56 inference(split_clause,[status(thm)],[f548,f473,f477,f485,f469,f481])).
% 0.13/0.56 fof(f585,plain,(
% 0.13/0.56 $false),
% 0.13/0.56 inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f527,f569])).
% 0.13/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.60 % Elapsed time: 0.053208 seconds
% 0.13/0.60 % CPU time: 0.157433 seconds
% 0.13/0.60 % Total memory used: 108.813 MB
% 0.13/0.60 % Net memory used: 108.667 MB
%------------------------------------------------------------------------------