TSTP Solution File: PUZ025-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : 600s
% DateTime : Mon Jul 18 18:27:18 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 6 unt; 3 nHn; 15 RR)
% Number of literals : 34 ( 0 equ; 21 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ a_truth(u)
| ~ a_truth(truthteller(v))
| ~ ask_1_if_2(v,u)
| answer(yes) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ ask_1_if_2(u,v)
| ~ a_truth(truthteller(u))
| a_truth(v)
| answer(no) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ a_truth(u)
| ~ a_truth(liar(v))
| ~ ask_1_if_2(v,u)
| answer(no) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ask_1_if_2(u,v)
| ~ a_truth(liar(u))
| a_truth(v)
| answer(yes) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(17,axiom,
ask_1_if_2(c,equal_type(a,b)),
file('PUZ025-1.p',unknown),
[] ).
cnf(18,axiom,
~ answer(u),
file('PUZ025-1.p',unknown),
[] ).
cnf(19,axiom,
( a_truth(liar(u))
| a_truth(truthteller(u)) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(25,plain,
( ~ ask_1_if_2(u,v)
| ~ a_truth(liar(u))
| a_truth(v) ),
inference(mrr,[status(thm)],[11,18]),
[iquote('0:MRR:11.3,18.0')] ).
cnf(26,plain,
( ~ ask_1_if_2(u,v)
| ~ a_truth(truthteller(u))
| a_truth(v) ),
inference(mrr,[status(thm)],[9,18]),
[iquote('0:MRR:9.3,18.0')] ).
cnf(27,plain,
( ~ a_truth(liar(u))
| ~ ask_1_if_2(u,v) ),
inference(mrr,[status(thm)],[10,25,18]),
[iquote('0:MRR:10.0,10.3,25.2,18.0')] ).
cnf(28,plain,
( ~ a_truth(truthteller(u))
| ~ ask_1_if_2(u,v) ),
inference(mrr,[status(thm)],[8,26,18]),
[iquote('0:MRR:8.0,8.3,26.2,18.0')] ).
cnf(29,plain,
~ a_truth(liar(c)),
inference(res,[status(thm),theory(equality)],[17,27]),
[iquote('0:Res:17.0,27.1')] ).
cnf(30,plain,
~ a_truth(truthteller(c)),
inference(res,[status(thm),theory(equality)],[17,28]),
[iquote('0:Res:17.0,28.1')] ).
cnf(47,plain,
a_truth(truthteller(c)),
inference(res,[status(thm),theory(equality)],[19,29]),
[iquote('0:Res:19.0,29.0')] ).
cnf(48,plain,
$false,
inference(mrr,[status(thm)],[47,30]),
[iquote('0:MRR:47.0,30.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 22:57:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.40
% 0.12/0.40 SPASS V 3.9
% 0.12/0.40 SPASS beiseite: Proof found.
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.12/0.40 SPASS allocated 75610 KBytes.
% 0.12/0.40 SPASS spent 0:00:00.06 on the problem.
% 0.12/0.40 0:00:00.03 for the input.
% 0.12/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.40 0:00:00.00 for inferences.
% 0.12/0.40 0:00:00.00 for the backtracking.
% 0.12/0.40 0:00:00.00 for the reduction.
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 Here is a proof with depth 2, length 15 :
% 0.12/0.40 % SZS output start Refutation
% See solution above
% 0.12/0.40 Formulae used in the proof : truthteller_identifies_truths truthteller_denies_lies liar_denies_truths liar_supports_lies ask_c_if_a_and_b_equal prove_there_is_an_answer truthteller_or_liar
% 0.12/0.40
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