TSTP Solution File: PUZ014-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 18:27:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 33 ( 13 unt; 5 nHn; 33 RR)
% Number of literals : 65 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('PUZ014-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
file('PUZ014-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
file('PUZ014-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
file('PUZ014-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
file('PUZ014-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('PUZ014-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('PUZ014-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('PUZ014-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ some_english_sing
| ~ some_scotch_dance_not
| ~ some_germans_play
| some_english_sing_not ),
file('PUZ014-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('PUZ014-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
file('PUZ014-1.p',unknown),
[] ).
cnf(17,axiom,
( some_germans_play
| some_germans_play_not ),
file('PUZ014-1.p',unknown),
[] ).
cnf(18,axiom,
some_english_sing,
file('PUZ014-1.p',unknown),
[] ).
cnf(19,axiom,
some_scotch_dance_not,
file('PUZ014-1.p',unknown),
[] ).
cnf(20,axiom,
some_monitors_are_not_awake,
file('PUZ014-1.p',unknown),
[] ).
cnf(21,plain,
( some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
inference(mrr,[status(thm)],[3,17]),
[iquote('0:MRR:3.0,17.0')] ).
cnf(22,plain,
some_irish_fight_not,
inference(mrr,[status(thm)],[10,18,20]),
[iquote('0:MRR:10.0,10.1,18.0,20.0')] ).
cnf(23,plain,
some_germans_play,
inference(mrr,[status(thm)],[6,19,22]),
[iquote('0:MRR:6.0,6.1,19.0,22.0')] ).
cnf(24,plain,
( some_scotch_dance
| some_welsh_eat_not ),
inference(mrr,[status(thm)],[5,23]),
[iquote('0:MRR:5.0,23.0')] ).
cnf(25,plain,
( ~ some_monitors_are_awake
| some_irish_fight ),
inference(mrr,[status(thm)],[4,20]),
[iquote('0:MRR:4.1,20.0')] ).
cnf(26,plain,
( ~ some_english_sing_not
| some_monitors_are_awake ),
inference(mrr,[status(thm)],[1,18]),
[iquote('0:MRR:1.0,18.0')] ).
cnf(27,plain,
some_english_sing_not,
inference(mrr,[status(thm)],[9,18,19,23]),
[iquote('0:MRR:9.0,9.1,9.2,18.0,19.0,23.0')] ).
cnf(28,plain,
some_monitors_are_awake,
inference(mrr,[status(thm)],[26,27]),
[iquote('0:MRR:26.0,27.0')] ).
cnf(29,plain,
( ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
inference(mrr,[status(thm)],[11,28]),
[iquote('0:MRR:11.0,28.0')] ).
cnf(30,plain,
some_irish_fight,
inference(mrr,[status(thm)],[25,28]),
[iquote('0:MRR:25.0,28.0')] ).
cnf(31,plain,
( ~ some_welsh_eat
| ~ some_scotch_dance ),
inference(mrr,[status(thm)],[7,28]),
[iquote('0:MRR:7.0,28.0')] ).
cnf(32,plain,
( ~ some_scotch_dance
| some_welsh_eat ),
inference(mrr,[status(thm)],[2,30]),
[iquote('0:MRR:2.1,30.0')] ).
cnf(33,plain,
( ~ some_germans_play_not
| ~ some_welsh_eat_not ),
inference(mrr,[status(thm)],[8,30]),
[iquote('0:MRR:8.2,30.0')] ).
cnf(34,plain,
~ some_scotch_dance,
inference(mrr,[status(thm)],[31,32]),
[iquote('0:MRR:31.0,32.1')] ).
cnf(35,plain,
some_welsh_eat_not,
inference(mrr,[status(thm)],[24,34]),
[iquote('0:MRR:24.0,34.0')] ).
cnf(36,plain,
~ some_of_the_eleven_are_not_oiling,
inference(mrr,[status(thm)],[29,34]),
[iquote('0:MRR:29.1,34.0')] ).
cnf(37,plain,
some_germans_play_not,
inference(mrr,[status(thm)],[21,36]),
[iquote('0:MRR:21.1,36.0')] ).
cnf(38,plain,
$false,
inference(mrr,[status(thm)],[33,37,35]),
[iquote('0:MRR:33.0,33.1,37.0,35.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 02:25:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.19/0.41 SPASS allocated 63139 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 0, length 33 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : c1 c2 c3 c4 c5 c6 c7 c8 c9 c10 c11 c17 c18 c19 prove_all_monitors_are_awake
% 0.19/0.41
%------------------------------------------------------------------------------