%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:01:16 PM UTC 2026
% Result : Theorem 0.16s 5.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n006.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Mon Sep 21 03:52:02 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.45 % Drodi V4.1.1
% 0.16/5.47 % Refutation found
% 0.16/5.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.47 fof(f3,axiom,(
% 0.16/5.47 (! [A] :( capital(A)=> city(A) ) )),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f5,axiom,(
% 0.16/5.47 capital(washington) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f6,axiom,(
% 0.16/5.47 country(usa) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f8,axiom,(
% 0.16/5.47 (! [X] :( city(X)=> has_crime(X) ) )),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f9,axiom,(
% 0.16/5.47 capital_city(usa) = washington ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f10,axiom,(
% 0.16/5.47 (! [X] :( country(X)=> beautiful(capital_city(X)) ) )),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f11,conjecture,(
% 0.16/5.47 ( beautiful(washington)& has_crime(washington) ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f12,negated_conjecture,(
% 0.16/5.47 ~(( beautiful(washington)& has_crime(washington) ) )),
% 0.16/5.47 inference(negated_conjecture,[status(cth)],[f11])).
% 0.16/5.47 fof(f17,plain,(
% 0.16/5.47 ![A]: (~capital(A)|city(A))),
% 0.16/5.47 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/5.47 fof(f18,plain,(
% 0.16/5.47 ![X0]: (~capital(X0)|city(X0))),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/5.47 fof(f21,plain,(
% 0.16/5.47 capital(washington)),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.47 fof(f22,plain,(
% 0.16/5.47 country(usa)),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/5.47 fof(f25,plain,(
% 0.16/5.47 ![X]: (~city(X)|has_crime(X))),
% 0.16/5.47 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/5.47 fof(f26,plain,(
% 0.16/5.47 ![X0]: (~city(X0)|has_crime(X0))),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/5.47 fof(f27,plain,(
% 0.16/5.47 capital_city(usa)=washington),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/5.47 fof(f28,plain,(
% 0.16/5.47 ![X]: (~country(X)|beautiful(capital_city(X)))),
% 0.16/5.47 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.16/5.47 fof(f29,plain,(
% 0.16/5.47 ![X0]: (~country(X0)|beautiful(capital_city(X0)))),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/5.47 fof(f30,plain,(
% 0.16/5.47 (~beautiful(washington)|~has_crime(washington))),
% 0.16/5.47 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.16/5.47 fof(f31,plain,(
% 0.16/5.47 ~beautiful(washington)|~has_crime(washington)),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f30])).
% 0.16/5.47 fof(f32,definition,(
% 0.16/5.47 sQ0_spl <=> (beautiful(washington))),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f34,plain,(
% 0.16/5.47 ~beautiful(washington)|sQ0_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f32])).
% 0.16/5.47 fof(f35,definition,(
% 0.16/5.47 sQ1_spl <=> (has_crime(washington))),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f37,plain,(
% 0.16/5.47 ~has_crime(washington)|sQ1_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f35])).
% 0.16/5.47 fof(f38,plain,(
% 0.16/5.47 ~sQ0_spl|~sQ1_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f31,f32,f35])).
% 0.16/5.47 fof(f40,plain,(
% 0.16/5.47 city(washington)),
% 0.16/5.47 inference(resolution,[status(thm)],[f21,f18])).
% 0.16/5.47 fof(f46,plain,(
% 0.16/5.47 has_crime(washington)),
% 0.16/5.47 inference(resolution,[status(thm)],[f40,f26])).
% 0.16/5.47 fof(f47,plain,(
% 0.16/5.47 beautiful(capital_city(usa))),
% 0.16/5.47 inference(resolution,[status(thm)],[f29,f22])).
% 0.16/5.47 fof(f49,plain,(
% 0.16/5.47 beautiful(washington)),
% 0.16/5.47 inference(forward_demodulation,[status(thm)],[f27,f47])).
% 0.16/5.47 fof(f50,plain,(
% 0.16/5.47 $false|sQ0_spl),
% 0.16/5.47 inference(forward_subsumption_resolution,[status(thm)],[f49,f34])).
% 0.16/5.47 fof(f51,plain,(
% 0.16/5.47 sQ0_spl),
% 0.16/5.47 inference(contradiction_clause,[status(thm)],[f50])).
% 0.16/5.47 fof(f52,plain,(
% 0.16/5.47 $false|sQ1_spl),
% 0.16/5.47 inference(forward_subsumption_resolution,[status(thm)],[f37,f46])).
% 0.16/5.47 fof(f53,plain,(
% 0.16/5.47 sQ1_spl),
% 0.16/5.47 inference(contradiction_clause,[status(thm)],[f52])).
% 0.16/5.47 fof(f54,plain,(
% 0.16/5.47 $false),
% 0.16/5.47 inference(sat_refutation,[status(thm)],[f38,f51,f53])).
% 0.16/5.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.50 % Elapsed time: 0.048031 seconds
% 0.16/5.50 % CPU time: 0.138053 seconds
% 0.16/5.50 % Total memory used: 33.151 MB
% 0.16/5.50 % Net memory used: 32.911 MB
%------------------------------------------------------------------------------