%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:00:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:47:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f2,hypothesis,(
% 0.13/0.37 lives(butler) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,hypothesis,(
% 0.13/0.37 (![X,Y]: (( ~ killed(X,Y)| ~ richer(X,Y) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,hypothesis,(
% 0.13/0.37 (![X]: (( ~ hates(agatha,X)| ~ hates(charles,X) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,hypothesis,(
% 0.13/0.37 (![X]: (( ~ hates(X,agatha)| ~ hates(X,butler)| ~ hates(X,charles) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,hypothesis,(
% 0.13/0.37 hates(agatha,agatha) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,hypothesis,(
% 0.13/0.37 hates(agatha,charles) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,hypothesis,(
% 0.13/0.37 (![X,Y]: (( ~ killed(X,Y)| hates(X,Y) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,hypothesis,(
% 0.13/0.37 (![X]: (( ~ hates(agatha,X)| hates(butler,X) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,hypothesis,(
% 0.13/0.37 (![X]: (( ~ lives(X)| richer(X,agatha)| hates(butler,X) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,negated_conjecture,(
% 0.13/0.37 ( killed(butler,agatha)| killed(charles,agatha) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 lives(butler)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![X0,X1]: (~killed(X0,X1)|~richer(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![X0]: (~hates(agatha,X0)|~hates(charles,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0]: (~hates(X0,agatha)|~hates(X0,butler)|~hates(X0,charles))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 hates(agatha,agatha)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 hates(agatha,charles)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![X0,X1]: (~killed(X0,X1)|hates(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![X0]: (~hates(agatha,X0)|hates(butler,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![X0]: (~lives(X0)|richer(X0,agatha)|hates(butler,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 killed(butler,agatha)|killed(charles,agatha)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.37 fof(f25,definition,(
% 0.13/0.37 sQ0_spl <=> (killed(butler,agatha))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 killed(butler,agatha)|~sQ0_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f25])).
% 0.13/0.37 fof(f28,definition,(
% 0.13/0.37 sQ1_spl <=> (killed(charles,agatha))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 killed(charles,agatha)|~sQ1_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f28])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 sQ0_spl|sQ1_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f24,f25,f28])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 hates(butler,charles)),
% 0.13/0.37 inference(resolution,[status(thm)],[f22,f20])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 hates(butler,agatha)),
% 0.13/0.37 inference(resolution,[status(thm)],[f22,f19])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![X0]: (~lives(X0)|hates(butler,X0)|~killed(X0,agatha))),
% 0.13/0.37 inference(resolution,[status(thm)],[f23,f16])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ~lives(butler)|hates(butler,butler)|~sQ0_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f35,f26])).
% 0.13/0.37 fof(f37,definition,(
% 0.13/0.37 sQ2_spl <=> (lives(butler))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ~lives(butler)|sQ2_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f37])).
% 0.13/0.37 fof(f40,definition,(
% 0.13/0.37 sQ3_spl <=> (hates(butler,butler))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 hates(butler,butler)|~sQ3_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f40])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.38 ~sQ2_spl|sQ3_spl|~sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f36,f37,f40,f25])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 hates(charles,agatha)|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f29,f21])).
% 0.13/0.38 fof(f49,definition,(
% 0.13/0.38 sQ5_spl <=> (hates(butler,charles))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 ~hates(butler,charles)|sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 $false|sQ2_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f39,f14])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f53])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 ~hates(butler,agatha)|~hates(butler,charles)|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f41,f18])).
% 0.13/0.38 fof(f59,definition,(
% 0.13/0.38 sQ6_spl <=> (hates(butler,agatha))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 ~hates(butler,agatha)|sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 ~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f58,f59,f49,f40])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 $false|sQ6_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f61,f34])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 sQ6_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f63])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 $false|sQ5_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f51,f33])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f67])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 ~hates(agatha,agatha)|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f45,f17])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 $false|~sQ1_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f72,f19])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 ~sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f73])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f31,f43,f54,f62,f64,f68,f74])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.037350 seconds
% 0.13/0.39 % CPU time: 0.094829 seconds
% 0.13/0.39 % Total memory used: 14.606 MB
% 0.13/0.39 % Net memory used: 14.231 MB
%------------------------------------------------------------------------------