%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:54:19 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(truthteller_or_liar,axiom,
( a_truth(liar(X))
| a_truth(truthteller(X)) ),
file('PUZ002-0.ax',truthteller_or_liar) ).
cnf(not_both,axiom,
( ~ a_truth(liar(X))
| ~ a_truth(truthteller(X)) ),
file('PUZ002-0.ax',not_both) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(Statement)
| ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(truthteller(Truthteller)) ),
file('PUZ002-0.ax',truthtellers_tell_truth) ).
cnf(liars_lie,axiom,
( ~ a_truth(Statement)
| ~ a_truth(says(Liar,Statement))
| ~ a_truth(liar(Liar)) ),
file('PUZ002-0.ax',liars_lie) ).
cnf(truths_are_told_by_truthtellers,axiom,
( a_truth(truthteller(Truthteller))
| ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ),
file('PUZ002-0.ax',truths_are_told_by_truthtellers) ).
cnf(liars_are_told_by_liars,axiom,
( a_truth(liar(Liar))
| ~ a_truth(says(Liar,Statement))
| a_truth(Statement) ),
file('PUZ002-0.ax',liars_are_told_by_liars) ).
cnf(two_liars_are_equal,axiom,
( a_truth(equal_type(X,Y))
| ~ a_truth(liar(Y))
| ~ a_truth(liar(X))
| ~ people(X,Y,Z) ),
file('theBenchmark.p',two_liars_are_equal) ).
cnf(two_truthtellers_are_equal,axiom,
( a_truth(equal_type(X,Y))
| ~ a_truth(truthteller(Y))
| ~ a_truth(truthteller(X))
| ~ people(X,Y,Z) ),
file('theBenchmark.p',two_truthtellers_are_equal) ).
cnf(truthteller_equals_truthtller,axiom,
( a_truth(truthteller(Y))
| ~ a_truth(truthteller(X))
| ~ a_truth(equal_type(X,Y)) ),
file('theBenchmark.p',truthteller_equals_truthtller) ).
cnf(liar_equals_liar,axiom,
( a_truth(liar(Y))
| ~ a_truth(liar(X))
| ~ a_truth(equal_type(X,Y)) ),
file('theBenchmark.p',liar_equals_liar) ).
cnf(truthteller_not_equal_liar,axiom,
( a_truth(liar(Y))
| a_truth(equal_type(X,Y))
| ~ a_truth(truthteller(X)) ),
file('theBenchmark.p',truthteller_not_equal_liar) ).
cnf(liar_not_equal_truthteller,axiom,
( a_truth(truthteller(Y))
| a_truth(equal_type(X,Y))
| ~ a_truth(liar(X)) ),
file('theBenchmark.p',liar_not_equal_truthteller) ).
cnf(symmetry_of_equal_type,axiom,
( a_truth(equal_type(Y,X))
| ~ a_truth(equal_type(X,Y)) ),
file('theBenchmark.p',symmetry_of_equal_type) ).
cnf(truthteller_identifies_truths,axiom,
( answer(yes)
| ~ a_truth(Y)
| ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ),
file('theBenchmark.p',truthteller_identifies_truths) ).
cnf(truthteller_denies_lies,axiom,
( answer(no)
| a_truth(Y)
| ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ),
file('theBenchmark.p',truthteller_denies_lies) ).
cnf(liar_denies_truths,axiom,
( answer(no)
| ~ a_truth(Y)
| ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ),
file('theBenchmark.p',liar_denies_truths) ).
cnf(liar_supports_lies,axiom,
( answer(yes)
| a_truth(Y)
| ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ),
file('theBenchmark.p',liar_supports_lies) ).
cnf(b_c_a_are_people,hypothesis,
people(b,c,a),
file('theBenchmark.p',b_c_a_are_people) ).
cnf(a_b_c_are_people,hypothesis,
people(a,b,a),
file('theBenchmark.p',a_b_c_are_people) ).
cnf(a_c_b_are_people,hypothesis,
people(a,c,b),
file('theBenchmark.p',a_c_b_are_people) ).
cnf(c_b_a_are_people,hypothesis,
people(c,b,a),
file('theBenchmark.p',c_b_a_are_people) ).
cnf(a_says_b_and_c_equal,hypothesis,
a_truth(says(a,equal_type(b,c))),
file('theBenchmark.p',a_says_b_and_c_equal) ).
cnf(ask_c_if_a_and_b_equal,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
file('theBenchmark.p',ask_c_if_a_and_b_equal) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(Answer),
file('theBenchmark.p',prove_there_is_an_answer) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 19:57:44 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------