%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ025-1 : 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 : n001.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 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 03:51:29 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f1,axiom,(
% 0.08/0.36 (![X]: (( a_truth(truthteller(X))| a_truth(liar(X)) ) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f14,axiom,(
% 0.08/0.36 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(truthteller(X))| ~ a_truth(Y)| answer(yes) ) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f15,axiom,(
% 0.08/0.36 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(truthteller(X))| a_truth(Y)| answer(no) ) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f16,axiom,(
% 0.08/0.36 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(liar(X))| ~ a_truth(Y)| answer(no) ) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f17,axiom,(
% 0.08/0.36 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(liar(X))| a_truth(Y)| answer(yes) ) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f23,hypothesis,(
% 0.08/0.36 ask_1_if_2(c,equal_type(a,b)) ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f24,negated_conjecture,(
% 0.08/0.36 (![Answer]: (~ answer(Answer) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f25,plain,(
% 0.08/0.36 ![X0]: (a_truth(truthteller(X0))|a_truth(liar(X0)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.36 fof(f48,plain,(
% 0.08/0.36 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(truthteller(X))))|~a_truth(Y)))|answer(yes)),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f14])).
% 0.08/0.36 fof(f49,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)|answer(yes))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f48])).
% 0.08/0.36 fof(f50,plain,(
% 0.08/0.36 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(truthteller(X))))|a_truth(Y)))|answer(no)),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f15])).
% 0.08/0.36 fof(f51,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)|answer(no))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f50])).
% 0.08/0.36 fof(f52,plain,(
% 0.08/0.36 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(liar(X))))|~a_truth(Y)))|answer(no)),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f16])).
% 0.08/0.36 fof(f53,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)|answer(no))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f52])).
% 0.08/0.36 fof(f54,plain,(
% 0.08/0.36 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(liar(X))))|a_truth(Y)))|answer(yes)),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f17])).
% 0.08/0.36 fof(f55,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)|answer(yes))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f54])).
% 0.08/0.36 fof(f61,plain,(
% 0.08/0.36 ask_1_if_2(c,equal_type(a,b))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.36 fof(f62,plain,(
% 0.08/0.36 ![X0]: (~answer(X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.36 fof(f63,definition,(
% 0.08/0.36 ![X0,X1]: (sQ0_spl <=> (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f64,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)|~sQ0_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f63])).
% 0.08/0.36 fof(f66,definition,(
% 0.08/0.36 sQ1_spl <=> (answer(yes))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f67,plain,(
% 0.08/0.36 answer(yes)|~sQ1_spl),
% 0.08/0.36 inference(component_clause,[status(thm)],[f66])).
% 0.08/0.36 fof(f69,plain,(
% 0.08/0.36 sQ0_spl|sQ1_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f49,f63,f66])).
% 0.08/0.36 fof(f70,definition,(
% 0.08/0.36 ![X0,X1]: (sQ2_spl <=> (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f71,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)|~sQ2_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f70])).
% 0.08/0.36 fof(f73,definition,(
% 0.08/0.36 sQ3_spl <=> (answer(no))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f74,plain,(
% 0.08/0.36 answer(no)|~sQ3_spl),
% 0.08/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.08/0.36 fof(f76,plain,(
% 0.08/0.36 sQ2_spl|sQ3_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f51,f70,f73])).
% 0.08/0.36 fof(f77,definition,(
% 0.08/0.36 ![X0,X1]: (sQ4_spl <=> (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f78,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)|~sQ4_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f77])).
% 0.08/0.36 fof(f80,plain,(
% 0.08/0.36 sQ4_spl|sQ3_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f53,f77,f73])).
% 0.08/0.36 fof(f81,definition,(
% 0.08/0.36 ![X0,X1]: (sQ5_spl <=> (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.36 fof(f82,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)|~sQ5_spl)),
% 0.08/0.36 inference(component_clause,[status(thm)],[f81])).
% 0.08/0.36 fof(f84,plain,(
% 0.08/0.36 sQ5_spl|sQ1_spl),
% 0.08/0.36 inference(split_clause,[status(thm)],[f55,f81,f66])).
% 0.08/0.36 fof(f85,plain,(
% 0.08/0.36 $false|~sQ1_spl),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f67,f62])).
% 0.08/0.36 fof(f86,plain,(
% 0.08/0.36 ~sQ1_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f85])).
% 0.08/0.36 fof(f87,plain,(
% 0.08/0.36 $false|~sQ3_spl),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f74,f62])).
% 0.08/0.36 fof(f88,plain,(
% 0.08/0.36 ~sQ3_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f87])).
% 0.08/0.36 fof(f117,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~sQ0_spl|~sQ2_spl)),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f71,f64])).
% 0.08/0.36 fof(f119,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~sQ5_spl|~sQ4_spl)),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f78,f82])).
% 0.08/0.36 fof(f120,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|a_truth(truthteller(X0))|~sQ5_spl|~sQ4_spl)),
% 0.08/0.36 inference(resolution,[status(thm)],[f119,f25])).
% 0.08/0.36 fof(f121,plain,(
% 0.08/0.36 ![X0,X1]: (~ask_1_if_2(X0,X1)|~sQ0_spl|~sQ2_spl|~sQ5_spl|~sQ4_spl)),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f120,f117])).
% 0.08/0.36 fof(f122,plain,(
% 0.08/0.36 $false|~sQ0_spl|~sQ2_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f61,f121])).
% 0.08/0.36 fof(f123,plain,(
% 0.08/0.36 ~sQ0_spl|~sQ2_spl|~sQ5_spl|~sQ4_spl),
% 0.08/0.36 inference(contradiction_clause,[status(thm)],[f122])).
% 0.08/0.36 fof(f124,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(sat_refutation,[status(thm)],[f69,f76,f80,f84,f86,f88,f123])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.029832 seconds
% 0.12/0.38 % CPU time: 0.057543 seconds
% 0.12/0.38 % Total memory used: 7.579 MB
% 0.12/0.38 % Net memory used: 7.437 MB
%------------------------------------------------------------------------------