%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ032-1 : 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 : n019.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 08:54:21 AM UTC 2026
% Result : Unsatisfiable 0.13s 5.84s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 42 ( 30 unt; 5 nHn; 42 RR)
% Number of literals : 64 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_both,axiom,
( ~ a_truth(liar(X))
| ~ a_truth(truthteller(X)) ),
file('PUZ002-0.ax',not_both) ).
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(a_mumbles,hypothesis,
a_truth(says(a,mumble)),
file('theBenchmark.p',a_mumbles) ).
cnf(b_says_a_says_hes_a_liar,hypothesis,
a_truth(says(b,says(a,liar(a)))),
file('theBenchmark.p',b_says_a_says_hes_a_liar) ).
cnf(c_says_b_is_a_liar,hypothesis,
a_truth(says(c,liar(b))),
file('theBenchmark.p',c_says_b_is_a_liar) ).
cnf(prove_c_is_a_truthteller,negated_conjecture,
~ a_truth(truthteller(c)),
file('theBenchmark.p',prove_c_is_a_truthteller) ).
cnf(t1,plain,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(a)) ),
inference(start,[status(thm),parent(0:0)],[not_both]) ).
cnf(t2,plain,
( ~ a_truth(says(a,liar(a)))
| ~ a_truth(liar(a))
| a_truth(truthteller(a)) ),
inference(extension,[status(thm),parent(t1:1)],[truths_are_told_by_truthtellers]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ a_truth(says(a,mumble))
| a_truth(mumble)
| a_truth(liar(a)) ),
inference(extension,[status(thm),parent(t2:2)],[liars_are_told_by_liars]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ a_truth(says(a,mumble))
| a_truth(truthteller(a))
| ~ a_truth(mumble) ),
inference(extension,[status(thm),parent(t4:2)],[truths_are_told_by_truthtellers]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
$false,
inference(reduction,[status(thm),parent(t6:2)],[t6:2,t1:1]) ).
cnf(t9,plain,
a_truth(says(a,mumble)),
inference(extension,[status(thm),parent(t6:3)],[a_mumbles]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t6:3]) ).
cnf(t11,plain,
a_truth(says(a,mumble)),
inference(extension,[status(thm),parent(t4:3)],[a_mumbles]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t4:3]) ).
cnf(t13,plain,
( ~ a_truth(says(b,says(a,liar(a))))
| a_truth(liar(b))
| a_truth(says(a,liar(a))) ),
inference(extension,[status(thm),parent(t2:3)],[liars_are_told_by_liars]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t2:3]) ).
cnf(t15,plain,
( ~ a_truth(says(c,liar(b)))
| a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(extension,[status(thm),parent(t13:2)],[truths_are_told_by_truthtellers]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
~ a_truth(truthteller(c)),
inference(extension,[status(thm),parent(t15:2)],[prove_c_is_a_truthteller]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
a_truth(says(c,liar(b))),
inference(extension,[status(thm),parent(t15:3)],[c_says_b_is_a_liar]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t15:3]) ).
cnf(t21,plain,
a_truth(says(b,says(a,liar(a)))),
inference(extension,[status(thm),parent(t13:3)],[b_says_a_says_hes_a_liar]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t13:3]) ).
cnf(t23,plain,
( ~ a_truth(says(a,liar(a)))
| a_truth(liar(a))
| a_truth(liar(a)) ),
inference(extension,[status(thm),parent(t1:2)],[liars_are_told_by_liars]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t1:2]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t1:2]) ).
cnf(t26,plain,
( ~ a_truth(says(b,says(a,liar(a))))
| a_truth(liar(b))
| a_truth(says(a,liar(a))) ),
inference(extension,[status(thm),parent(t23:3)],[liars_are_told_by_liars]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t23:3]) ).
cnf(t28,plain,
( ~ a_truth(says(c,liar(b)))
| a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(extension,[status(thm),parent(t26:2)],[truths_are_told_by_truthtellers]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
~ a_truth(truthteller(c)),
inference(extension,[status(thm),parent(t28:2)],[prove_c_is_a_truthteller]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
a_truth(says(c,liar(b))),
inference(extension,[status(thm),parent(t28:3)],[c_says_b_is_a_liar]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
a_truth(says(b,says(a,liar(a)))),
inference(extension,[status(thm),parent(t26:3)],[b_says_a_says_hes_a_liar]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t26:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ032-1 : 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
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 19:57:41 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.13/5.84 % SZS status Unsatisfiable for theBenchmark
% 0.13/5.84 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------