%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ024-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 1.24s 1.73s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 4 nHn; 15 RR)
% Number of literals : 34 ( 0 equ; 15 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(truthteller_or_liar,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
cnf(prove_there_is_a_truthteller,negated_conjecture,
~ a_truth(truthteller(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',liars_lie) ).
cnf(all_truthtellers,axiom,
( a_truth(all_are_liars)
| a_truth(truthteller(X1))
| a_truth(truthteller(X2))
| a_truth(truthteller(X3))
| ~ people(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_truthtellers) ).
cnf(a_says_all_are_liars,hypothesis,
a_truth(says(a,all_are_liars)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_all_are_liars) ).
cnf(b_c_a_people,hypothesis,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_people) ).
cnf(c_0_6,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
truthteller_or_liar ).
cnf(c_0_7,negated_conjecture,
~ a_truth(truthteller(X1)),
prove_there_is_a_truthteller ).
cnf(c_0_8,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
liars_lie ).
cnf(c_0_9,plain,
a_truth(liar(X1)),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
( a_truth(all_are_liars)
| a_truth(truthteller(X1))
| a_truth(truthteller(X2))
| a_truth(truthteller(X3))
| ~ people(X1,X2,X3) ),
all_truthtellers ).
cnf(c_0_11,plain,
( ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_12,hypothesis,
a_truth(says(a,all_are_liars)),
a_says_all_are_liars ).
cnf(c_0_13,plain,
( a_truth(all_are_liars)
| ~ people(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_14,hypothesis,
~ a_truth(all_are_liars),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,hypothesis,
people(b,c,a),
b_c_a_people ).
cnf(c_0_16,plain,
~ people(X1,X2,X3),
inference(sr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ024-1 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:33:06 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.24/1.73 % Version : CSE_E---1.7
% 1.24/1.73 % Problem : theBenchmark.p
% 1.24/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.73 % SZS output start CNFRefutation
% See solution above
% 1.24/1.73 % Total time : 1.374s
%------------------------------------------------------------------------------