%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ032-1 : 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 : 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 02:00:18 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 03:48:46 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (( ~ a_truth(truthteller(X))| ~ a_truth(liar(X)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (![Statement,Truthteller]: (( ~ a_truth(Statement)| ~ a_truth(says(Truthteller,Statement))| a_truth(truthteller(Truthteller)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,axiom,(
% 0.14/0.39 (![Statement,Liar]: (( a_truth(Statement)| ~ a_truth(says(Liar,Statement))| a_truth(liar(Liar)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,hypothesis,(
% 0.14/0.39 a_truth(says(b,says(a,liar(a)))) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,hypothesis,(
% 0.14/0.39 a_truth(says(c,liar(b))) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ~ a_truth(truthteller(c)) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 ![X0]: (~a_truth(truthteller(X0))|~a_truth(liar(X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f17,plain,(
% 0.14/0.39 ![Truthteller]: ((![Statement]: (~a_truth(Statement)|~a_truth(says(Truthteller,Statement))))|a_truth(truthteller(Truthteller)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.39 fof(f18,plain,(
% 0.14/0.39 ![X0,X1]: (~a_truth(X0)|~a_truth(says(X1,X0))|a_truth(truthteller(X1)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![Liar]: ((![Statement]: (a_truth(Statement)|~a_truth(says(Liar,Statement))))|a_truth(liar(Liar)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.39 fof(f20,plain,(
% 0.14/0.39 ![X0,X1]: (a_truth(X0)|~a_truth(says(X1,X0))|a_truth(liar(X1)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f22,plain,(
% 0.14/0.39 a_truth(says(b,says(a,liar(a))))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f23,plain,(
% 0.14/0.39 a_truth(says(c,liar(b)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f24,plain,(
% 0.14/0.39 ~a_truth(truthteller(c))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f25,plain,(
% 0.14/0.39 ~a_truth(liar(b))|a_truth(truthteller(c))),
% 0.14/0.39 inference(resolution,[status(thm)],[f18,f23])).
% 0.14/0.39 fof(f26,definition,(
% 0.14/0.39 sQ0_spl <=> (a_truth(liar(b)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f29,definition,(
% 0.14/0.39 sQ1_spl <=> (a_truth(truthteller(c)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 a_truth(truthteller(c))|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f29])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ~sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f25,f26,f29])).
% 0.14/0.39 fof(f40,definition,(
% 0.14/0.39 sQ3_spl <=> (a_truth(truthteller(a)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 a_truth(truthteller(a))|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.39 fof(f47,definition,(
% 0.14/0.39 sQ4_spl <=> (a_truth(liar(a)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 a_truth(liar(a))|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 $false|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f24])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 ~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f55])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 ~a_truth(liar(a))|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f41,f12])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f60,f48])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f61])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 a_truth(says(a,liar(a)))|a_truth(liar(b))),
% 0.14/0.39 inference(resolution,[status(thm)],[f22,f20])).
% 0.14/0.39 fof(f69,definition,(
% 0.14/0.39 sQ6_spl <=> (a_truth(says(a,liar(a))))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 a_truth(says(a,liar(a)))|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 sQ6_spl|sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f67,f69,f26])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 a_truth(liar(a))|a_truth(liar(a))|~sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f70,f20])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ~a_truth(liar(a))|a_truth(truthteller(a))|~sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f70,f18])).
% 0.14/0.39 fof(f79,plain,(
% 0.14/0.39 sQ4_spl|~sQ6_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f77,f47,f69])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 ~sQ4_spl|sQ3_spl|~sQ6_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f78,f47,f40,f69])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f32,f56,f62,f72,f79,f80])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.037010 seconds
% 0.14/0.41 % CPU time: 0.092559 seconds
% 0.14/0.41 % Total memory used: 10.998 MB
% 0.14/0.41 % Net memory used: 10.699 MB
%------------------------------------------------------------------------------