%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ027-1 : 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 : n008.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 02:00:17 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n008.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 03:46:39 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.45 % Refutation found
% 0.17/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.45 fof(f1,axiom,(
% 0.17/0.45 (![X]: (( a_truth(truthteller(X))| a_truth(liar(X))| a_truth(normal(X)) ) ))),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f23,hypothesis,(
% 0.17/0.45 ( ~ a_truth(truthteller(a))| ~ a_truth(truthteller(b))| answer(a_and_b_truthteller) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f24,hypothesis,(
% 0.17/0.45 ( ~ a_truth(truthteller(a))| ~ a_truth(normal(b))| answer(a_truthteller_b_normal) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f25,hypothesis,(
% 0.17/0.45 ( ~ a_truth(truthteller(a))| ~ a_truth(liar(b))| answer(a_truthteller_b_liar) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f26,hypothesis,(
% 0.17/0.45 ( ~ a_truth(normal(a))| ~ a_truth(truthteller(b))| answer(a_normal_b_truthteller) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f27,hypothesis,(
% 0.17/0.45 ( ~ a_truth(normal(a))| ~ a_truth(normal(b))| answer(a_and_b_normal) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f28,hypothesis,(
% 0.17/0.45 ( ~ a_truth(normal(a))| ~ a_truth(liar(b))| answer(a_normal_b_liar) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f29,hypothesis,(
% 0.17/0.45 ( ~ a_truth(liar(a))| ~ a_truth(truthteller(b))| answer(a_liar_b_truthteller) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f30,hypothesis,(
% 0.17/0.45 ( ~ a_truth(liar(a))| ~ a_truth(normal(b))| answer(a_liar_b_normal) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f31,hypothesis,(
% 0.17/0.45 ( ~ a_truth(liar(a))| ~ a_truth(liar(b))| answer(a_and_b_liar) ) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f32,negated_conjecture,(
% 0.17/0.45 (![Answer]: (~ answer(Answer) ))),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f33,plain,(
% 0.17/0.45 ![X0]: (a_truth(truthteller(X0))|a_truth(liar(X0))|a_truth(normal(X0)))),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.45 fof(f65,plain,(
% 0.17/0.45 ~a_truth(truthteller(a))|~a_truth(truthteller(b))|answer(a_and_b_truthteller)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/0.45 fof(f66,plain,(
% 0.17/0.45 ~a_truth(truthteller(a))|~a_truth(normal(b))|answer(a_truthteller_b_normal)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/0.45 fof(f67,plain,(
% 0.17/0.45 ~a_truth(truthteller(a))|~a_truth(liar(b))|answer(a_truthteller_b_liar)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/0.45 fof(f68,plain,(
% 0.17/0.45 ~a_truth(normal(a))|~a_truth(truthteller(b))|answer(a_normal_b_truthteller)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.45 fof(f69,plain,(
% 0.17/0.45 ~a_truth(normal(a))|~a_truth(normal(b))|answer(a_and_b_normal)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.45 fof(f70,plain,(
% 0.17/0.45 ~a_truth(normal(a))|~a_truth(liar(b))|answer(a_normal_b_liar)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/0.45 fof(f71,plain,(
% 0.17/0.45 ~a_truth(liar(a))|~a_truth(truthteller(b))|answer(a_liar_b_truthteller)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f29])).
% 0.17/0.45 fof(f72,plain,(
% 0.17/0.45 ~a_truth(liar(a))|~a_truth(normal(b))|answer(a_liar_b_normal)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/0.45 fof(f73,plain,(
% 0.17/0.45 ~a_truth(liar(a))|~a_truth(liar(b))|answer(a_and_b_liar)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.45 fof(f74,plain,(
% 0.17/0.45 ![X0]: (~answer(X0))),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f32])).
% 0.17/0.45 fof(f75,definition,(
% 0.17/0.45 sQ0_spl <=> (a_truth(truthteller(a)))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f78,definition,(
% 0.17/0.45 sQ1_spl <=> (a_truth(truthteller(b)))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f81,definition,(
% 0.17/0.45 sQ2_spl <=> (answer(a_and_b_truthteller))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f82,plain,(
% 0.17/0.45 answer(a_and_b_truthteller)|~sQ2_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f81])).
% 0.17/0.45 fof(f84,plain,(
% 0.17/0.45 ~sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f65,f75,f78,f81])).
% 0.17/0.45 fof(f85,definition,(
% 0.17/0.45 sQ3_spl <=> (a_truth(normal(b)))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f87,plain,(
% 0.17/0.45 ~a_truth(normal(b))|sQ3_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f85])).
% 0.17/0.45 fof(f88,definition,(
% 0.17/0.45 sQ4_spl <=> (answer(a_truthteller_b_normal))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f89,plain,(
% 0.17/0.45 answer(a_truthteller_b_normal)|~sQ4_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f88])).
% 0.17/0.45 fof(f91,plain,(
% 0.17/0.45 ~sQ0_spl|~sQ3_spl|sQ4_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f66,f75,f85,f88])).
% 0.17/0.45 fof(f92,definition,(
% 0.17/0.45 sQ5_spl <=> (a_truth(liar(b)))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f95,definition,(
% 0.17/0.45 sQ6_spl <=> (answer(a_truthteller_b_liar))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f96,plain,(
% 0.17/0.45 answer(a_truthteller_b_liar)|~sQ6_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f95])).
% 0.17/0.45 fof(f98,plain,(
% 0.17/0.45 ~sQ0_spl|~sQ5_spl|sQ6_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f67,f75,f92,f95])).
% 0.17/0.45 fof(f99,definition,(
% 0.17/0.45 sQ7_spl <=> (a_truth(normal(a)))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f101,plain,(
% 0.17/0.45 ~a_truth(normal(a))|sQ7_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f99])).
% 0.17/0.45 fof(f102,definition,(
% 0.17/0.45 sQ8_spl <=> (answer(a_normal_b_truthteller))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f103,plain,(
% 0.17/0.45 answer(a_normal_b_truthteller)|~sQ8_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f102])).
% 0.17/0.45 fof(f105,plain,(
% 0.17/0.45 ~sQ7_spl|~sQ1_spl|sQ8_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f68,f99,f78,f102])).
% 0.17/0.45 fof(f106,definition,(
% 0.17/0.45 sQ9_spl <=> (answer(a_and_b_normal))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f107,plain,(
% 0.17/0.45 answer(a_and_b_normal)|~sQ9_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f106])).
% 0.17/0.45 fof(f109,plain,(
% 0.17/0.45 ~sQ7_spl|~sQ3_spl|sQ9_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f69,f99,f85,f106])).
% 0.17/0.45 fof(f110,definition,(
% 0.17/0.45 sQ10_spl <=> (answer(a_normal_b_liar))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f111,plain,(
% 0.17/0.45 answer(a_normal_b_liar)|~sQ10_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f110])).
% 0.17/0.45 fof(f113,plain,(
% 0.17/0.45 ~sQ7_spl|~sQ5_spl|sQ10_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f70,f99,f92,f110])).
% 0.17/0.45 fof(f114,definition,(
% 0.17/0.45 sQ11_spl <=> (a_truth(liar(a)))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f117,definition,(
% 0.17/0.45 sQ12_spl <=> (answer(a_liar_b_truthteller))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f118,plain,(
% 0.17/0.45 answer(a_liar_b_truthteller)|~sQ12_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f117])).
% 0.17/0.45 fof(f120,plain,(
% 0.17/0.45 ~sQ11_spl|~sQ1_spl|sQ12_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f71,f114,f78,f117])).
% 0.17/0.45 fof(f121,definition,(
% 0.17/0.45 sQ13_spl <=> (answer(a_liar_b_normal))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f122,plain,(
% 0.17/0.45 answer(a_liar_b_normal)|~sQ13_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f121])).
% 0.17/0.45 fof(f124,plain,(
% 0.17/0.45 ~sQ11_spl|~sQ3_spl|sQ13_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f72,f114,f85,f121])).
% 0.17/0.45 fof(f125,definition,(
% 0.17/0.45 sQ14_spl <=> (answer(a_and_b_liar))),
% 0.17/0.45 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.45 fof(f126,plain,(
% 0.17/0.45 answer(a_and_b_liar)|~sQ14_spl),
% 0.17/0.45 inference(component_clause,[status(thm)],[f125])).
% 0.17/0.45 fof(f128,plain,(
% 0.17/0.45 ~sQ11_spl|~sQ5_spl|sQ14_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f73,f114,f92,f125])).
% 0.17/0.45 fof(f129,plain,(
% 0.17/0.45 a_truth(truthteller(b))|a_truth(liar(b))|sQ3_spl),
% 0.17/0.45 inference(resolution,[status(thm)],[f87,f33])).
% 0.17/0.45 fof(f130,plain,(
% 0.17/0.45 sQ1_spl|sQ5_spl|sQ3_spl),
% 0.17/0.45 inference(split_clause,[status(thm)],[f129,f78,f92,f85])).
% 0.17/0.45 fof(f131,plain,(
% 0.17/0.45 $false|~sQ14_spl),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f126,f74])).
% 0.17/0.46 fof(f132,plain,(
% 0.17/0.46 ~sQ14_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f131])).
% 0.17/0.46 fof(f133,plain,(
% 0.17/0.46 $false|~sQ13_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f122,f74])).
% 0.17/0.46 fof(f134,plain,(
% 0.17/0.46 ~sQ13_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f133])).
% 0.17/0.46 fof(f135,plain,(
% 0.17/0.46 $false|~sQ12_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f118,f74])).
% 0.17/0.46 fof(f136,plain,(
% 0.17/0.46 ~sQ12_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f135])).
% 0.17/0.46 fof(f137,plain,(
% 0.17/0.46 $false|~sQ10_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f111,f74])).
% 0.17/0.46 fof(f138,plain,(
% 0.17/0.46 ~sQ10_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f137])).
% 0.17/0.46 fof(f139,plain,(
% 0.17/0.46 $false|~sQ9_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f107,f74])).
% 0.17/0.46 fof(f140,plain,(
% 0.17/0.46 ~sQ9_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f139])).
% 0.17/0.46 fof(f141,plain,(
% 0.17/0.46 $false|~sQ8_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f103,f74])).
% 0.17/0.46 fof(f142,plain,(
% 0.17/0.46 ~sQ8_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f141])).
% 0.17/0.46 fof(f143,plain,(
% 0.17/0.46 $false|~sQ6_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f96,f74])).
% 0.17/0.46 fof(f144,plain,(
% 0.17/0.46 ~sQ6_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f143])).
% 0.17/0.46 fof(f145,plain,(
% 0.17/0.46 $false|~sQ4_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f89,f74])).
% 0.17/0.46 fof(f146,plain,(
% 0.17/0.46 ~sQ4_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f145])).
% 0.17/0.46 fof(f147,plain,(
% 0.17/0.46 $false|~sQ2_spl),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f82,f74])).
% 0.17/0.46 fof(f148,plain,(
% 0.17/0.46 ~sQ2_spl),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f147])).
% 0.17/0.46 fof(f149,plain,(
% 0.17/0.46 a_truth(truthteller(a))|a_truth(liar(a))|sQ7_spl),
% 0.17/0.46 inference(resolution,[status(thm)],[f101,f33])).
% 0.17/0.46 fof(f150,plain,(
% 0.17/0.46 sQ0_spl|sQ11_spl|sQ7_spl),
% 0.17/0.46 inference(split_clause,[status(thm)],[f149,f75,f114,f99])).
% 0.17/0.46 fof(f151,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(sat_refutation,[status(thm)],[f84,f91,f98,f105,f109,f113,f120,f124,f128,f130,f132,f134,f136,f138,f140,f142,f144,f146,f148,f150])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.48 % Elapsed time: 0.044900 seconds
% 0.17/0.48 % CPU time: 0.101810 seconds
% 0.17/0.48 % Total memory used: 8.712 MB
% 0.17/0.48 % Net memory used: 8.634 MB
%------------------------------------------------------------------------------