%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC213-1 : 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 : 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 02:41:53 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC213-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 08:05:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f8,axiom,(
% 0.13/0.41 ssList(nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f100,axiom,(
% 0.13/0.41 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f115,axiom,(
% 0.13/0.41 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f186,negated_conjecture,(
% 0.13/0.41 ssList(sk1) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f187,negated_conjecture,(
% 0.13/0.41 ssList(sk2) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f190,negated_conjecture,(
% 0.13/0.41 sk2 = sk4 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f191,negated_conjecture,(
% 0.13/0.41 sk1 = sk3 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f192,negated_conjecture,(
% 0.13/0.41 neq(sk2,nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f199,negated_conjecture,(
% 0.13/0.41 ~ neq(sk1,nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f200,negated_conjecture,(
% 0.13/0.41 ( nil = sk4| nil != sk3 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f208,plain,(
% 0.13/0.41 ssList(nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f303,plain,(
% 0.13/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/0.41 fof(f321,plain,(
% 0.13/0.41 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f115])).
% 0.13/0.41 fof(f322,plain,(
% 0.13/0.41 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f321])).
% 0.13/0.41 fof(f431,plain,(
% 0.13/0.41 ssList(sk1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f186])).
% 0.13/0.41 fof(f432,plain,(
% 0.13/0.41 ssList(sk2)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f187])).
% 0.13/0.41 fof(f435,plain,(
% 0.13/0.41 sk2=sk4),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.41 fof(f436,plain,(
% 0.13/0.41 sk1=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.41 fof(f437,plain,(
% 0.13/0.41 neq(sk2,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.41 fof(f446,plain,(
% 0.13/0.41 ~neq(sk1,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/0.41 fof(f447,plain,(
% 0.13/0.41 nil=sk4|~nil=sk3),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f200])).
% 0.13/0.41 fof(f455,definition,(
% 0.13/0.41 sQ2_spl <=> (nil=sk4)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f456,plain,(
% 0.13/0.41 nil=sk4|~sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f455])).
% 0.13/0.41 fof(f458,definition,(
% 0.13/0.41 sQ3_spl <=> (nil=sk3)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f460,plain,(
% 0.13/0.41 ~nil=sk3|sQ3_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f458])).
% 0.13/0.41 fof(f461,plain,(
% 0.13/0.41 sQ2_spl|~sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f447,f455,f458])).
% 0.13/0.41 fof(f469,plain,(
% 0.13/0.41 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.13/0.41 inference(destructive_equality_resolution,[status(thm)],[f322])).
% 0.13/0.41 fof(f470,plain,(
% 0.13/0.41 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f469])).
% 0.13/0.41 fof(f512,plain,(
% 0.13/0.41 nil=sk2|~sQ2_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f435,f456])).
% 0.13/0.41 fof(f513,plain,(
% 0.13/0.41 neq(sk2,sk2)|~sQ2_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f512,f437])).
% 0.13/0.41 fof(f552,plain,(
% 0.13/0.41 ~ssList(sk2)|~sQ2_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f470,f513])).
% 0.13/0.41 fof(f553,plain,(
% 0.13/0.41 $false|~sQ2_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f552,f432])).
% 0.13/0.41 fof(f554,plain,(
% 0.13/0.41 ~sQ2_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f553])).
% 0.13/0.41 fof(f555,plain,(
% 0.13/0.41 ~nil=sk1|sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f436,f460])).
% 0.13/0.41 fof(f558,definition,(
% 0.13/0.41 sQ8_spl <=> (ssList(nil))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f560,plain,(
% 0.13/0.41 ~ssList(nil)|sQ8_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f558])).
% 0.13/0.41 fof(f563,definition,(
% 0.13/0.41 sQ9_spl <=> (ssList(sk1))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f565,plain,(
% 0.13/0.42 ~ssList(sk1)|sQ9_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f563])).
% 0.13/0.42 fof(f603,plain,(
% 0.13/0.42 ~ssList(nil)|~ssList(sk1)|sk1=nil),
% 0.13/0.42 inference(resolution,[status(thm)],[f303,f446])).
% 0.13/0.42 fof(f606,definition,(
% 0.13/0.42 sQ10_spl <=> (sk1=nil)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f607,plain,(
% 0.13/0.42 sk1=nil|~sQ10_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f606])).
% 0.13/0.42 fof(f609,plain,(
% 0.13/0.42 ~sQ8_spl|~sQ9_spl|sQ10_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f603,f558,f563,f606])).
% 0.13/0.42 fof(f610,plain,(
% 0.13/0.42 $false|sQ3_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f607,f555])).
% 0.13/0.42 fof(f611,plain,(
% 0.13/0.42 sQ3_spl|~sQ10_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f610])).
% 0.13/0.42 fof(f612,plain,(
% 0.13/0.42 $false|sQ9_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f565,f431])).
% 0.13/0.42 fof(f613,plain,(
% 0.13/0.42 sQ9_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f612])).
% 0.13/0.42 fof(f614,plain,(
% 0.13/0.42 $false|sQ8_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f560,f208])).
% 0.13/0.42 fof(f615,plain,(
% 0.13/0.42 sQ8_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f614])).
% 0.13/0.42 fof(f616,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f461,f554,f609,f611,f613,f615])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.062161 seconds
% 0.13/0.42 % CPU time: 0.211401 seconds
% 0.13/0.42 % Total memory used: 69.945 MB
% 0.13/0.42 % Net memory used: 69.773 MB
%------------------------------------------------------------------------------