%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ027-1 : 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 : n007.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 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(person_is_one_type,axiom,
( a_truth(normal(X))
| a_truth(liar(X))
| a_truth(truthteller(X)) ),
file('PUZ003-0.ax',person_is_one_type) ).
cnf(not_truthteller_and_normal,axiom,
( ~ a_truth(normal(X))
| ~ a_truth(truthteller(X)) ),
file('PUZ003-0.ax',not_truthteller_and_normal) ).
cnf(not_truthteller_and_liar,axiom,
( ~ a_truth(liar(X))
| ~ a_truth(truthteller(X)) ),
file('PUZ003-0.ax',not_truthteller_and_liar) ).
cnf(not_liar_and_normal,axiom,
( ~ a_truth(normal(X))
| ~ a_truth(liar(X)) ),
file('PUZ003-0.ax',not_liar_and_normal) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(Y)
| ~ a_truth(says(X,Y))
| ~ a_truth(truthteller(X)) ),
file('PUZ003-0.ax',truthtellers_tell_truth) ).
cnf(liars_lie,axiom,
( ~ a_truth(Y)
| ~ a_truth(says(X,Y))
| ~ a_truth(liar(X)) ),
file('PUZ003-0.ax',liars_lie) ).
cnf(truthtellers_and_normal_tell_truth,axiom,
( a_truth(normal(Y))
| a_truth(truthteller(Y))
| ~ a_truth(says(Y,X))
| ~ a_truth(X) ),
file('PUZ003-0.ax',truthtellers_and_normal_tell_truth) ).
cnf(liars_and_normal_lie,axiom,
( a_truth(normal(Y))
| a_truth(liar(Y))
| ~ a_truth(says(Y,X))
| a_truth(X) ),
file('PUZ003-0.ax',liars_and_normal_lie) ).
cnf(not_lower_is_irreflexive,axiom,
a_truth(not_lower(X,X)),
file('theBenchmark.p',not_lower_is_irreflexive) ).
cnf(not_not_lower_and_lower,axiom,
( ~ a_truth(lower(X,Y))
| ~ a_truth(not_lower(X,Y)) ),
file('theBenchmark.p',not_not_lower_and_lower) ).
cnf(not_lower_or_lower,axiom,
( a_truth(lower(X,Y))
| a_truth(not_lower(X,Y)) ),
file('theBenchmark.p',not_lower_or_lower) ).
cnf(liars_lowest,axiom,
( a_truth(truthteller(Y))
| a_truth(normal(Y))
| ~ a_truth(liar(X))
| ~ a_truth(lower(X,Y)) ),
file('theBenchmark.p',liars_lowest) ).
cnf(truthtellers_highest,axiom,
( a_truth(truthteller(Y))
| ~ a_truth(normal(X))
| ~ a_truth(lower(X,Y)) ),
file('theBenchmark.p',truthtellers_highest) ).
cnf(truthtellers_lower_than_no_one,axiom,
( ~ a_truth(truthteller(X))
| ~ a_truth(lower(X,Y)) ),
file('theBenchmark.p',truthtellers_lower_than_no_one) ).
cnf(normal_and_liars_lower_than_truthtellers,axiom,
( a_truth(liar(X))
| a_truth(normal(X))
| ~ a_truth(truthteller(Y))
| ~ a_truth(lower(X,Y)) ),
file('theBenchmark.p',normal_and_liars_lower_than_truthtellers) ).
cnf(liars_lower_than_normal,axiom,
( a_truth(liar(X))
| ~ a_truth(normal(Y))
| ~ a_truth(lower(X,Y)) ),
file('theBenchmark.p',liars_lower_than_normal) ).
cnf(no_one_lower_than_liars,axiom,
( ~ a_truth(liar(Y))
| ~ a_truth(lower(X,Y)) ),
file('theBenchmark.p',no_one_lower_than_liars) ).
cnf(not_lower_than_truthteller,axiom,
( a_truth(lower(Y,X))
| a_truth(truthteller(Y))
| ~ a_truth(truthteller(X))
| ~ a_truth(not_lower(X,Y)) ),
file('theBenchmark.p',not_lower_than_truthteller) ).
cnf(not_lower_than_liar,axiom,
( a_truth(lower(Y,X))
| a_truth(liar(Y))
| ~ a_truth(liar(X))
| ~ a_truth(not_lower(X,Y)) ),
file('theBenchmark.p',not_lower_than_liar) ).
cnf(not_lower_than_normal,axiom,
( a_truth(lower(Y,X))
| a_truth(normal(Y))
| ~ a_truth(normal(X))
| ~ a_truth(not_lower(X,Y)) ),
file('theBenchmark.p',not_lower_than_normal) ).
cnf(a_says_a_lower_than_b,hypothesis,
a_truth(says(a,lower(a,b))),
file('theBenchmark.p',a_says_a_lower_than_b) ).
cnf(b_says_a_not_lower_than_b,hypothesis,
a_truth(says(b,not_lower(a,b))),
file('theBenchmark.p',b_says_a_not_lower_than_b) ).
cnf(a_and_b_truthteller,hypothesis,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
file('theBenchmark.p',a_and_b_truthteller) ).
cnf(a_truthteller_b_normal,hypothesis,
( answer(a_truthteller_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
file('theBenchmark.p',a_truthteller_b_normal) ).
cnf(a_truthteller_b_liar,hypothesis,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
file('theBenchmark.p',a_truthteller_b_liar) ).
cnf(a_normal_b_truthteller,hypothesis,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
file('theBenchmark.p',a_normal_b_truthteller) ).
cnf(a_and_b_normal,hypothesis,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
file('theBenchmark.p',a_and_b_normal) ).
cnf(a_normal_b_liar,hypothesis,
( answer(a_normal_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
file('theBenchmark.p',a_normal_b_liar) ).
cnf(a_liar_b_truthteller,hypothesis,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
file('theBenchmark.p',a_liar_b_truthteller) ).
cnf(a_liar_b_normal,hypothesis,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
file('theBenchmark.p',a_liar_b_normal) ).
cnf(a_and_b_liar,hypothesis,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
file('theBenchmark.p',a_and_b_liar) ).
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 : PUZ027-1 : 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
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 19:54:19 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------