%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ023-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:02:40 PM UTC 2026
% Result : Unsatisfiable 1.11s 1.68s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 8 unt; 2 nHn; 19 RR)
% Number of literals : 42 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_liar_and_c_truthteller,hypothesis,
( an_answer(b_liar_and_c_truthteller)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_liar_and_c_truthteller) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ an_answer(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(b_and_c_liars,hypothesis,
( an_answer(b_and_c_liars)
| ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_c_liars) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthtellers_tell_truth) ).
cnf(c_says_b_lies,hypothesis,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_b_lies) ).
cnf(b_truthteller_and_c_liar,hypothesis,
( an_answer(b_truthteller_and_c_liar)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_truthteller_and_c_liar) ).
cnf(truthteller_or_liar,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
cnf(c_0_7,hypothesis,
( an_answer(b_liar_and_c_truthteller)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(c)) ),
b_liar_and_c_truthteller ).
cnf(c_0_8,negated_conjecture,
~ an_answer(X1),
prove_there_is_an_answer ).
cnf(c_0_9,hypothesis,
( an_answer(b_and_c_liars)
| ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
b_and_c_liars ).
cnf(c_0_10,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
truthtellers_tell_truth ).
cnf(c_0_11,hypothesis,
a_truth(says(c,liar(b))),
c_says_b_lies ).
cnf(c_0_12,hypothesis,
( ~ a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
( an_answer(b_truthteller_and_c_liar)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
b_truthteller_and_c_liar ).
cnf(c_0_14,hypothesis,
( ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
inference(sr,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_15,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
truthteller_or_liar ).
cnf(c_0_16,hypothesis,
~ a_truth(truthteller(c)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,hypothesis,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
inference(sr,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_18,hypothesis,
~ a_truth(liar(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,hypothesis,
~ a_truth(truthteller(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ023-1 : TPTP v9.2.1. Released v1.0.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.31 % Computer : n012.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8042.1875MB
% 0.06/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Tue May 5 01:33:16 EDT 2026
% 0.06/0.31 % CPUTime :
% 0.06/0.32 % start to proof: theBenchmark
% 1.11/1.68 % Version : CSE_E---1.7
% 1.11/1.68 % Problem : theBenchmark.p
% 1.11/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 1.11/1.68 % SZS output start CNFRefutation
% See solution above
% 1.11/1.68 % Total time : 1.361s
%------------------------------------------------------------------------------