%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:00:13 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:44:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ member(X)| ~ member(Y)| ~ shaved(X,Y)| shaved(members,X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ shaved(members,X)| ~ member(Y)| shaved(Y,X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,hypothesis,(
% 0.13/0.39 member(guido) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,hypothesis,(
% 0.13/0.39 member(lorenzo) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,hypothesis,(
% 0.13/0.39 member(petruchio) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,hypothesis,(
% 0.13/0.39 member(cesare) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,hypothesis,(
% 0.13/0.39 shaved(guido,cesare) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ~ shaved(petruchio,lorenzo) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X]: ((![Y]: ((~member(X)|~member(Y))|~shaved(X,Y)))|shaved(members,X))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0,X1]: (~member(X0)|~member(X1)|~shaved(X0,X1)|shaved(members,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0,X1]: (~shaved(members,X0)|~member(X1)|shaved(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 member(guido)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 member(lorenzo)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 member(petruchio)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 member(cesare)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 shaved(guido,cesare)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ~shaved(petruchio,lorenzo)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ~shaved(members,lorenzo)|~member(petruchio)),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f11])).
% 0.13/0.39 fof(f19,definition,(
% 0.13/0.39 sQ0_spl <=> (shaved(members,lorenzo))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ~shaved(members,lorenzo)|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f19])).
% 0.13/0.39 fof(f22,definition,(
% 0.13/0.39 sQ1_spl <=> (member(petruchio))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ~member(petruchio)|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f22])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f18,f19,f22])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0]: (~member(lorenzo)|~member(X0)|~shaved(lorenzo,X0)|sQ0_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f10])).
% 0.13/0.39 fof(f28,definition,(
% 0.13/0.39 sQ2_spl <=> (member(lorenzo))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ~member(lorenzo)|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f28])).
% 0.13/0.39 fof(f31,definition,(
% 0.13/0.39 ![X0]: (sQ3_spl <=> (~member(X0)|~shaved(lorenzo,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![X0]: (~member(X0)|~shaved(lorenzo,X0)|~sQ3_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ~sQ2_spl|sQ3_spl|sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f26,f28,f31,f19])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 $false|sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f24,f14])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f39])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 $false|sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f13])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f41])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X0]: (~member(X0)|~shaved(members,X0)|~member(lorenzo)|~sQ3_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f32,f11])).
% 0.13/0.39 fof(f48,definition,(
% 0.13/0.39 ![X0]: (sQ5_spl <=> (~member(X0)|~shaved(members,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![X0]: (~member(X0)|~shaved(members,X0)|~sQ5_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f48])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 sQ5_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f48,f28,f31])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 ![X0,X1]: (~member(X0)|~member(X1)|~shaved(X0,X1)|~sQ5_spl)),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f10,f49])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 ~member(guido)|~member(cesare)|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f52,f16])).
% 0.13/0.39 fof(f55,definition,(
% 0.13/0.39 sQ6_spl <=> (member(guido))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 ~member(guido)|sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.39 fof(f58,definition,(
% 0.13/0.39 sQ7_spl <=> (member(cesare))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 ~member(cesare)|sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f58])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 ~sQ6_spl|~sQ7_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f55,f58,f48])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 $false|sQ6_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f57,f12])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f66])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 $false|sQ7_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f60,f15])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 sQ7_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f68])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f25,f34,f40,f42,f51,f61,f67,f69])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.050715 seconds
% 0.13/0.41 % CPU time: 0.137774 seconds
% 0.13/0.41 % Total memory used: 55.326 MB
% 0.13/0.41 % Net memory used: 54.806 MB
%------------------------------------------------------------------------------