%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ024-1 : 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 : n018.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 02:00:16 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 03:47:58 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f1,axiom,(
% 0.18/0.47 (![X]: (( a_truth(truthteller(X))| a_truth(liar(X)) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f4,axiom,(
% 0.18/0.47 (![Liar,Statement]: (( ~ a_truth(liar(Liar))| ~ a_truth(says(Liar,Statement))| ~ a_truth(Statement) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f14,axiom,(
% 0.18/0.47 (![X,Y,Z]: (( a_truth(all_are_liars)| ~ people(X,Y,Z)| a_truth(truthteller(X))| a_truth(truthteller(Y))| a_truth(truthteller(Z)) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f15,hypothesis,(
% 0.18/0.47 people(b,c,a) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f18,hypothesis,(
% 0.18/0.47 a_truth(says(a,all_are_liars)) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f20,negated_conjecture,(
% 0.18/0.47 (![Truthteller]: (~ a_truth(truthteller(Truthteller)) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f21,plain,(
% 0.18/0.47 ![X0]: (a_truth(truthteller(X0))|a_truth(liar(X0)))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.47 fof(f25,plain,(
% 0.18/0.47 ![Statement]: ((![Liar]: (~a_truth(liar(Liar))|~a_truth(says(Liar,Statement))))|~a_truth(Statement))),
% 0.18/0.47 inference(miniscoping,[status(thm)],[f4])).
% 0.18/0.47 fof(f26,plain,(
% 0.18/0.47 ![X0,X1]: (~a_truth(liar(X0))|~a_truth(says(X0,X1))|~a_truth(X1))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f25])).
% 0.18/0.47 fof(f45,plain,(
% 0.18/0.47 ![Z]: ((![Y]: ((![X]: ((a_truth(all_are_liars)|~people(X,Y,Z))|a_truth(truthteller(X))))|a_truth(truthteller(Y))))|a_truth(truthteller(Z)))),
% 0.18/0.47 inference(miniscoping,[status(thm)],[f14])).
% 0.18/0.47 fof(f46,plain,(
% 0.18/0.47 ![X0,X1,X2]: (a_truth(all_are_liars)|~people(X0,X1,X2)|a_truth(truthteller(X0))|a_truth(truthteller(X1))|a_truth(truthteller(X2)))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f45])).
% 0.18/0.47 fof(f47,plain,(
% 0.18/0.47 people(b,c,a)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.47 fof(f50,plain,(
% 0.18/0.47 a_truth(says(a,all_are_liars))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f18])).
% 0.18/0.47 fof(f52,plain,(
% 0.18/0.47 ![X0]: (~a_truth(truthteller(X0)))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.18/0.47 fof(f56,definition,(
% 0.18/0.47 ![X0,X1,X2]: (sQ1_spl <=> (~people(X0,X1,X2)|a_truth(truthteller(X0))|a_truth(truthteller(X1))|a_truth(truthteller(X2))))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f57,plain,(
% 0.18/0.47 ![X0,X1,X2]: (~people(X0,X1,X2)|a_truth(truthteller(X0))|a_truth(truthteller(X1))|a_truth(truthteller(X2))|~sQ1_spl)),
% 0.18/0.47 inference(component_clause,[status(thm)],[f56])).
% 0.18/0.47 fof(f76,definition,(
% 0.18/0.47 sQ6_spl <=> (a_truth(all_are_liars))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f77,plain,(
% 0.18/0.47 a_truth(all_are_liars)|~sQ6_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f76])).
% 0.18/0.47 fof(f79,plain,(
% 0.18/0.47 sQ6_spl|sQ1_spl),
% 0.18/0.47 inference(split_clause,[status(thm)],[f46,f76,f56])).
% 0.18/0.47 fof(f80,plain,(
% 0.18/0.47 ![X0]: (a_truth(liar(X0)))),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f21,f52])).
% 0.18/0.47 fof(f81,plain,(
% 0.18/0.47 ![X0,X1]: (~a_truth(says(X0,X1))|~a_truth(X1))),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f26,f80])).
% 0.18/0.47 fof(f83,plain,(
% 0.18/0.47 ~a_truth(all_are_liars)),
% 0.18/0.47 inference(resolution,[status(thm)],[f81,f50])).
% 0.18/0.47 fof(f86,plain,(
% 0.18/0.47 ![X0,X1,X2]: (~people(X0,X1,X2)|a_truth(truthteller(X1))|a_truth(truthteller(X2))|~sQ1_spl)),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f57,f52])).
% 0.18/0.47 fof(f89,plain,(
% 0.18/0.47 a_truth(truthteller(c))|a_truth(truthteller(a))|~sQ1_spl),
% 0.18/0.47 inference(resolution,[status(thm)],[f86,f47])).
% 0.18/0.47 fof(f93,definition,(
% 0.18/0.47 sQ8_spl <=> (a_truth(truthteller(a)))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f94,plain,(
% 0.18/0.47 a_truth(truthteller(a))|~sQ8_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f93])).
% 0.18/0.47 fof(f97,definition,(
% 0.18/0.47 sQ9_spl <=> (a_truth(truthteller(c)))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f98,plain,(
% 0.18/0.47 a_truth(truthteller(c))|~sQ9_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f97])).
% 0.18/0.48 fof(f101,plain,(
% 0.18/0.48 sQ9_spl|sQ8_spl|~sQ1_spl),
% 0.18/0.48 inference(split_clause,[status(thm)],[f89,f97,f93,f56])).
% 0.18/0.48 fof(f102,plain,(
% 0.18/0.48 $false|~sQ8_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f94,f52])).
% 0.18/0.48 fof(f103,plain,(
% 0.18/0.48 ~sQ8_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f102])).
% 0.18/0.48 fof(f104,plain,(
% 0.18/0.48 $false|~sQ9_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f98,f52])).
% 0.18/0.48 fof(f105,plain,(
% 0.18/0.48 ~sQ9_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f104])).
% 0.18/0.48 fof(f106,plain,(
% 0.18/0.48 $false|~sQ6_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f77,f83])).
% 0.18/0.48 fof(f107,plain,(
% 0.18/0.48 ~sQ6_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f106])).
% 0.18/0.48 fof(f108,plain,(
% 0.18/0.48 $false),
% 0.18/0.48 inference(sat_refutation,[status(thm)],[f79,f101,f103,f105,f107])).
% 0.18/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.52 % Elapsed time: 0.053159 seconds
% 0.18/0.52 % CPU time: 0.052897 seconds
% 0.18/0.52 % Total memory used: 548.176 KB
% 0.18/0.52 % Net memory used: 547.232 KB
%------------------------------------------------------------------------------