%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ025-1 : 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 : n028.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 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 7 unt; 6 nHn; 19 RR)
% Number of literals : 53 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(liar_denies_truths,axiom,
( answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liar_denies_truths) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(truthteller_identifies_truths,axiom,
( answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_identifies_truths) ).
cnf(liar_supports_lies,axiom,
( a_truth(X2)
| answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liar_supports_lies) ).
cnf(truthteller_denies_lies,axiom,
( a_truth(X2)
| answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_denies_lies) ).
cnf(ask_c_if_a_and_b_equal,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).
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(c_0_7,axiom,
( answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1))
| ~ a_truth(X2) ),
liar_denies_truths ).
cnf(c_0_8,negated_conjecture,
~ answer(X1),
prove_there_is_an_answer ).
cnf(c_0_9,axiom,
( answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(X2) ),
truthteller_identifies_truths ).
cnf(c_0_10,axiom,
( a_truth(X2)
| answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1)) ),
liar_supports_lies ).
cnf(c_0_11,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1))
| ~ a_truth(X2) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,axiom,
( a_truth(X2)
| answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1)) ),
truthteller_denies_lies ).
cnf(c_0_13,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(X2) ),
inference(sr,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_8]),c_0_11]) ).
cnf(c_0_15,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
ask_c_if_a_and_b_equal ).
cnf(c_0_16,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_12,c_0_8]),c_0_13]) ).
cnf(c_0_17,hypothesis,
~ a_truth(liar(c)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
truthteller_or_liar ).
cnf(c_0_19,hypothesis,
~ a_truth(truthteller(c)),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ025-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % 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 : n028.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 01:33:31 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------