TSTP Solution File: PUZ013-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 : Wed Jul 27 13:11:02 EDT 2022
% Result : Unsatisfiable 1.77s 1.94s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 8 unt; 3 nHn; 16 RR)
% Number of literals : 31 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 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('PUZ013-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('PUZ013-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('PUZ013-1.p',unknown),
[] ).
cnf(12,plain,
( ~ some_english_sing
| ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[11])]),
[iquote('copy,11,propositional')] ).
cnf(13,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('PUZ013-1.p',unknown),
[] ).
cnf(15,axiom,
~ some_monitors_are_awake,
file('PUZ013-1.p',unknown),
[] ).
cnf(18,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file('PUZ013-1.p',unknown),
[] ).
cnf(19,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[18])]),
[iquote('copy,18,propositional')] ).
cnf(24,axiom,
some_english_sing,
file('PUZ013-1.p',unknown),
[] ).
cnf(25,axiom,
some_scotch_dance_not,
file('PUZ013-1.p',unknown),
[] ).
cnf(26,plain,
( some_monitors_are_awake
| some_irish_fight_not ),
inference(hyper,[status(thm)],[24,13,19]),
[iquote('hyper,24,13,19')] ).
cnf(28,plain,
some_irish_fight_not,
inference(hyper,[status(thm)],[26,15]),
[iquote('hyper,26,15')] ).
cnf(29,plain,
some_germans_play,
inference(hyper,[status(thm)],[28,6,25]),
[iquote('hyper,28,6,25')] ).
cnf(30,plain,
some_english_sing_not,
inference(hyper,[status(thm)],[29,12,24,25]),
[iquote('hyper,29,12,24,25')] ).
cnf(33,plain,
some_monitors_are_awake,
inference(hyper,[status(thm)],[30,1,24]),
[iquote('hyper,30,1,24')] ).
cnf(34,plain,
$false,
inference(binary,[status(thm)],[33,15]),
[iquote('binary,33.1,15.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 01:47:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.77/1.94 ----- Otter 3.3f, August 2004 -----
% 1.77/1.94 The process was started by sandbox2 on n005.cluster.edu,
% 1.77/1.94 Wed Jul 27 01:47:35 2022
% 1.77/1.94 The command was "./otter". The process ID is 12045.
% 1.77/1.94
% 1.77/1.94 set(prolog_style_variables).
% 1.77/1.94 set(auto).
% 1.77/1.94 dependent: set(auto1).
% 1.77/1.94 dependent: set(process_input).
% 1.77/1.94 dependent: clear(print_kept).
% 1.77/1.94 dependent: clear(print_new_demod).
% 1.77/1.94 dependent: clear(print_back_demod).
% 1.77/1.94 dependent: clear(print_back_sub).
% 1.77/1.94 dependent: set(control_memory).
% 1.77/1.94 dependent: assign(max_mem, 12000).
% 1.77/1.94 dependent: assign(pick_given_ratio, 4).
% 1.77/1.94 dependent: assign(stats_level, 1).
% 1.77/1.94 dependent: assign(max_seconds, 10800).
% 1.77/1.94 clear(print_given).
% 1.77/1.94
% 1.77/1.94 list(usable).
% 1.77/1.94 0 [] -some_english_sing| -some_english_sing_not|some_monitors_are_awake.
% 1.77/1.94 0 [] -some_scotch_dance| -some_irish_fight|some_welsh_eat.
% 1.77/1.94 0 [] -some_germans_play|some_germans_play_not|some_of_the_eleven_are_not_oiling.
% 1.77/1.94 0 [] -some_monitors_are_awake| -some_monitors_are_not_awake|some_irish_fight.
% 1.77/1.94 0 [] -some_germans_play|some_scotch_dance|some_welsh_eat_not.
% 1.77/1.94 0 [] -some_scotch_dance_not| -some_irish_fight_not|some_germans_play.
% 1.77/1.94 0 [] -some_monitors_are_awake| -some_welsh_eat| -some_scotch_dance.
% 1.77/1.94 0 [] -some_germans_play_not| -some_welsh_eat_not| -some_irish_fight.
% 1.77/1.94 0 [] -some_english_sing|some_english_sing_not| -some_scotch_dance_not| -some_germans_play.
% 1.77/1.94 0 [] -some_english_sing| -some_monitors_are_not_awake|some_irish_fight_not.
% 1.77/1.94 0 [] -some_monitors_are_awake| -some_of_the_eleven_are_not_oiling|some_scotch_dance.
% 1.77/1.94 0 [] some_english_sing_not|some_english_sing.
% 1.77/1.94 0 [] some_monitors_are_not_awake|some_monitors_are_awake.
% 1.77/1.94 0 [] some_scotch_dance|some_scotch_dance_not.
% 1.77/1.94 0 [] some_irish_fight|some_irish_fight_not.
% 1.77/1.94 0 [] some_welsh_eat|some_welsh_eat_not.
% 1.77/1.94 0 [] some_germans_play|some_germans_play_not.
% 1.77/1.94 0 [] some_english_sing.
% 1.77/1.94 0 [] some_scotch_dance_not.
% 1.77/1.94 0 [] -some_monitors_are_awake.
% 1.77/1.94 end_of_list.
% 1.77/1.94
% 1.77/1.94 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.77/1.94
% 1.77/1.94 The clause set is propositional; the strategy will be
% 1.77/1.94 ordered hyperresolution with the propositional
% 1.77/1.94 optimizations, with satellites in sos and nuclei in usable.
% 1.77/1.94
% 1.77/1.94 dependent: set(hyper_res).
% 1.77/1.94 dependent: set(propositional).
% 1.77/1.94 dependent: set(sort_literals).
% 1.77/1.94
% 1.77/1.94 ------------> process usable:
% 1.77/1.94 ** KEPT (pick-wt=3): 1 [] -some_english_sing| -some_english_sing_not|some_monitors_are_awake.
% 1.77/1.94 ** KEPT (pick-wt=3): 2 [] -some_scotch_dance| -some_irish_fight|some_welsh_eat.
% 1.77/1.94 ** KEPT (pick-wt=3): 3 [] -some_germans_play|some_germans_play_not|some_of_the_eleven_are_not_oiling.
% 1.77/1.94 ** KEPT (pick-wt=3): 4 [] -some_monitors_are_awake| -some_monitors_are_not_awake|some_irish_fight.
% 1.77/1.94 ** KEPT (pick-wt=3): 5 [] -some_germans_play|some_scotch_dance|some_welsh_eat_not.
% 1.77/1.94 ** KEPT (pick-wt=3): 6 [] -some_scotch_dance_not| -some_irish_fight_not|some_germans_play.
% 1.77/1.94 ** KEPT (pick-wt=3): 8 [copy,7,propositional] -some_monitors_are_awake| -some_scotch_dance| -some_welsh_eat.
% 1.77/1.94 ** KEPT (pick-wt=3): 10 [copy,9,propositional] -some_irish_fight| -some_germans_play_not| -some_welsh_eat_not.
% 1.77/1.94 ** KEPT (pick-wt=4): 12 [copy,11,propositional] -some_english_sing| -some_germans_play| -some_scotch_dance_not|some_english_sing_not.
% 1.77/1.94 ** KEPT (pick-wt=3): 13 [] -some_english_sing| -some_monitors_are_not_awake|some_irish_fight_not.
% 1.77/1.94 ** KEPT (pick-wt=3): 14 [] -some_monitors_are_awake| -some_of_the_eleven_are_not_oiling|some_scotch_dance.
% 1.77/1.94 ** KEPT (pick-wt=1): 15 [] -some_monitors_are_awake.
% 1.77/1.94 15 back subsumes 14.
% 1.77/1.94 15 back subsumes 8.
% 1.77/1.94 15 back subsumes 4.
% 1.77/1.94
% 1.77/1.94 ------------> process sos:
% 1.77/1.94 ** KEPT (pick-wt=2): 17 [copy,16,propositional] some_english_sing|some_english_sing_not.
% 1.77/1.94 ** KEPT (pick-wt=2): 19 [copy,18,propositional] some_monitors_are_awake|some_monitors_are_not_awake.
% 1.77/1.94 ** KEPT (pick-wt=2): 20 [] some_scotch_dance|some_scotch_dance_not.
% 1.77/1.94 ** KEPT (pick-wt=2): 21 [] some_irish_fight|some_irish_fight_not.
% 1.77/1.94 ** KEPT (pick-wt=2): 22 [] some_welsh_eat|some_welsh_eat_not.
% 1.77/1.94 ** KEPT (pick-wt=2): 23 [] some_germans_play|some_germans_play_not.
% 1.77/1.94 ** KEPT (pick-wt=1): 24 [] some_english_sing.
% 1.77/1.94 ** KEPT (pick-wt=1): 25 [] some_scotch_dance_not.
% 1.77/1.94 24 back subsumes 17.
% 1.77/1.94 25 back subsumes 20.
% 1.77/1.94
% 1.77/1.94 ======= end of input processing =======
% 1.77/1.94
% 1.77/1.94 =========== start of search ===========
% 1.77/1.94
% 1.77/1.94 -------- PROOF --------
% 1.77/1.94
% 1.77/1.94 ----> UNIT CONFLICT at 0.00 sec ----> 34 [binary,33.1,15.1] $F.
% 1.77/1.94
% 1.77/1.94 Length of proof is 7. Level of proof is 6.
% 1.77/1.94
% 1.77/1.94 ---------------- PROOF ----------------
% 1.77/1.94 % SZS status Unsatisfiable
% 1.77/1.94 % SZS output start Refutation
% See solution above
% 1.77/1.94 ------------ end of proof -------------
% 1.77/1.94
% 1.77/1.94
% 1.77/1.94 Search stopped by max_proofs option.
% 1.77/1.94
% 1.77/1.94
% 1.77/1.94 Search stopped by max_proofs option.
% 1.77/1.94
% 1.77/1.94 ============ end of search ============
% 1.77/1.94
% 1.77/1.94 -------------- statistics -------------
% 1.77/1.94 clauses given 10
% 1.77/1.94 clauses generated 8
% 1.77/1.94 clauses kept 28
% 1.77/1.94 clauses forward subsumed 0
% 1.77/1.94 clauses back subsumed 14
% 1.77/1.94 Kbytes malloced 976
% 1.77/1.94
% 1.77/1.94 ----------- times (seconds) -----------
% 1.77/1.94 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.94 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.77/1.94
% 1.77/1.94 That finishes the proof of the theorem.
% 1.77/1.94
% 1.77/1.94 Process 12045 finished Wed Jul 27 01:47:37 2022
% 1.77/1.94 Otter interrupted
% 1.77/1.94 PROOF FOUND
%------------------------------------------------------------------------------