%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ024-1 : 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 : n014.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 120.05s 120.39s
% Output : Proof 120.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 15 unt; 2 nHn; 19 RR)
% Number of literals : 31 ( 0 equ; 10 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(all_truthtellers,axiom,
( a_truth(truthteller(Z))
| a_truth(truthteller(Y))
| a_truth(truthteller(X))
| ~ people(X,Y,Z)
| a_truth(all_are_liars) ),
file('theBenchmark.p',all_truthtellers) ).
cnf(c_b_a_people,hypothesis,
people(c,b,a),
file('theBenchmark.p',c_b_a_people) ).
cnf(a_says_all_are_liars,hypothesis,
a_truth(says(a,all_are_liars)),
file('theBenchmark.p',a_says_all_are_liars) ).
cnf(prove_there_is_a_truthteller,negated_conjecture,
~ a_truth(truthteller(Truthteller)),
file('theBenchmark.p',prove_there_is_a_truthteller) ).
cnf(t1,plain,
~ a_truth(truthteller(a)),
inference(start,[status(thm),parent(0:0)],[prove_there_is_a_truthteller]) ).
cnf(t2,plain,
( ~ people(c,b,a)
| a_truth(truthteller(c))
| a_truth(truthteller(b))
| a_truth(all_are_liars)
| a_truth(truthteller(a)) ),
inference(extension,[status(thm),parent(t1:1)],[all_truthtellers]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ a_truth(says(a,all_are_liars))
| a_truth(truthteller(a))
| ~ a_truth(all_are_liars) ),
inference(extension,[status(thm),parent(t2:2)],[truths_are_told_by_truthtellers]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
$false,
inference(reduction,[status(thm),parent(t4:2)],[t4:2,t1:1]) ).
cnf(t7,plain,
a_truth(says(a,all_are_liars)),
inference(extension,[status(thm),parent(t4:3)],[a_says_all_are_liars]) ).
cnf(t8,plain,
$false,
inference(connection,[status(thm),parent(t7:1)],[t7:1,t4:3]) ).
cnf(t9,plain,
~ a_truth(truthteller(b)),
inference(extension,[status(thm),parent(t2:3)],[prove_there_is_a_truthteller]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t2:3]) ).
cnf(t11,plain,
~ a_truth(truthteller(c)),
inference(extension,[status(thm),parent(t2:4)],[prove_there_is_a_truthteller]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t2:4]) ).
cnf(t13,plain,
people(c,b,a),
inference(extension,[status(thm),parent(t2:5)],[c_b_a_people]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t2:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 19:55:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 120.05/120.39 % SZS status Unsatisfiable for theBenchmark
% 120.05/120.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------