TSTP Solution File: PUZ033-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:11:26 EDT 2022
% Result : Unsatisfiable 1.71s 1.92s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 10 unt; 7 nHn; 26 RR)
% Number of literals : 55 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ wind_in_east
| sunshine ),
file('PUZ033-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
file('PUZ033-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ fire_smokes
| door_is_open ),
file('PUZ033-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
file('PUZ033-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ),
file('PUZ033-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ),
file('PUZ033-1.p',unknown),
[] ).
cnf(8,plain,
( ~ sunshine
| ~ foggy
| cold
| window_is_shut ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,propositional')] ).
cnf(9,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ),
file('PUZ033-1.p',unknown),
[] ).
cnf(10,plain,
( ~ i_feel_rheumatic
| ~ fire_is_lit
| door_is_open
| wind_in_gusts ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,propositional')] ).
cnf(11,axiom,
( ~ sunshine
| foggy ),
file('PUZ033-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ),
file('PUZ033-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ),
file('PUZ033-1.p',unknown),
[] ).
cnf(14,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[13])]),
[iquote('copy,13,propositional')] ).
cnf(15,axiom,
~ window_is_shut,
file('PUZ033-1.p',unknown),
[] ).
cnf(16,axiom,
wind_in_east,
file('PUZ033-1.p',unknown),
[] ).
cnf(17,plain,
sunshine,
inference(hyper,[status(thm)],[16,1]),
[iquote('hyper,16,1')] ).
cnf(18,plain,
foggy,
inference(hyper,[status(thm)],[17,11]),
[iquote('hyper,17,11')] ).
cnf(19,plain,
i_feel_rheumatic,
inference(hyper,[status(thm)],[18,14,16]),
[iquote('hyper,18,14,16')] ).
cnf(20,plain,
( cold
| window_is_shut ),
inference(hyper,[status(thm)],[18,8,17]),
[iquote('hyper,18,8,17')] ).
cnf(21,plain,
cold,
inference(hyper,[status(thm)],[20,15]),
[iquote('hyper,20,15')] ).
cnf(22,plain,
fire_is_lit,
inference(hyper,[status(thm)],[21,4,19]),
[iquote('hyper,21,4,19')] ).
cnf(23,plain,
neighbor_practices_flute,
inference(hyper,[status(thm)],[21,2,18]),
[iquote('hyper,21,2,18')] ).
cnf(24,plain,
( door_is_open
| wind_in_gusts ),
inference(hyper,[status(thm)],[22,10,19]),
[iquote('hyper,22,10,19')] ).
cnf(25,plain,
( fire_smokes
| door_is_open ),
inference(hyper,[status(thm)],[24,5,16]),
[iquote('hyper,24,5,16')] ).
cnf(26,plain,
door_is_open,
inference(hyper,[status(thm)],[25,3]),
[iquote('hyper,25,3')] ).
cnf(27,plain,
$false,
inference(hyper,[status(thm)],[26,12,23]),
[iquote('hyper,26,12,23')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 01:32:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.71/1.92 ----- Otter 3.3f, August 2004 -----
% 1.71/1.92 The process was started by sandbox on n007.cluster.edu,
% 1.71/1.92 Wed Jul 27 01:32:31 2022
% 1.71/1.92 The command was "./otter". The process ID is 19408.
% 1.71/1.92
% 1.71/1.92 set(prolog_style_variables).
% 1.71/1.92 set(auto).
% 1.71/1.92 dependent: set(auto1).
% 1.71/1.92 dependent: set(process_input).
% 1.71/1.92 dependent: clear(print_kept).
% 1.71/1.92 dependent: clear(print_new_demod).
% 1.71/1.92 dependent: clear(print_back_demod).
% 1.71/1.92 dependent: clear(print_back_sub).
% 1.71/1.92 dependent: set(control_memory).
% 1.71/1.92 dependent: assign(max_mem, 12000).
% 1.71/1.92 dependent: assign(pick_given_ratio, 4).
% 1.71/1.92 dependent: assign(stats_level, 1).
% 1.71/1.92 dependent: assign(max_seconds, 10800).
% 1.71/1.92 clear(print_given).
% 1.71/1.92
% 1.71/1.92 list(usable).
% 1.71/1.92 0 [] -wind_in_east|sunshine.
% 1.71/1.92 0 [] -cold| -foggy|neighbor_practices_flute.
% 1.71/1.92 0 [] -fire_smokes|door_is_open.
% 1.71/1.92 0 [] -cold| -i_feel_rheumatic|fire_is_lit.
% 1.71/1.92 0 [] -wind_in_east| -wind_in_gusts|fire_smokes.
% 1.71/1.92 0 [] -door_is_open| -headache.
% 1.71/1.92 0 [] -sunshine|cold| -foggy|window_is_shut.
% 1.71/1.92 0 [] wind_in_gusts| -fire_is_lit|door_is_open| -i_feel_rheumatic.
% 1.71/1.92 0 [] -sunshine|foggy.
% 1.71/1.92 0 [] -neighbor_practices_flute| -door_is_open.
% 1.71/1.92 0 [] -foggy| -wind_in_east|i_feel_rheumatic.
% 1.71/1.92 0 [] wind_in_east.
% 1.71/1.92 0 [] -window_is_shut.
% 1.71/1.92 end_of_list.
% 1.71/1.92
% 1.71/1.92 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.71/1.92
% 1.71/1.92 The clause set is propositional; the strategy will be
% 1.71/1.92 ordered hyperresolution with the propositional
% 1.71/1.92 optimizations, with satellites in sos and nuclei in usable.
% 1.71/1.92
% 1.71/1.92 dependent: set(hyper_res).
% 1.71/1.92 dependent: set(propositional).
% 1.71/1.92 dependent: set(sort_literals).
% 1.71/1.92
% 1.71/1.92 ------------> process usable:
% 1.71/1.92 ** KEPT (pick-wt=2): 1 [] -wind_in_east|sunshine.
% 1.71/1.92 ** KEPT (pick-wt=3): 2 [] -cold| -foggy|neighbor_practices_flute.
% 1.71/1.92 ** KEPT (pick-wt=2): 3 [] -fire_smokes|door_is_open.
% 1.71/1.92 ** KEPT (pick-wt=3): 4 [] -cold| -i_feel_rheumatic|fire_is_lit.
% 1.71/1.92 ** KEPT (pick-wt=3): 5 [] -wind_in_east| -wind_in_gusts|fire_smokes.
% 1.71/1.92 ** KEPT (pick-wt=2): 6 [] -door_is_open| -headache.
% 1.71/1.92 ** KEPT (pick-wt=4): 8 [copy,7,propositional] -sunshine| -foggy|cold|window_is_shut.
% 1.71/1.92 ** KEPT (pick-wt=4): 10 [copy,9,propositional] -i_feel_rheumatic| -fire_is_lit|door_is_open|wind_in_gusts.
% 1.71/1.92 ** KEPT (pick-wt=2): 11 [] -sunshine|foggy.
% 1.71/1.92 ** KEPT (pick-wt=2): 12 [] -neighbor_practices_flute| -door_is_open.
% 1.71/1.92 ** KEPT (pick-wt=3): 14 [copy,13,propositional] -wind_in_east| -foggy|i_feel_rheumatic.
% 1.71/1.92 ** KEPT (pick-wt=1): 15 [] -window_is_shut.
% 1.71/1.92
% 1.71/1.92 ------------> process sos:
% 1.71/1.92 ** KEPT (pick-wt=1): 16 [] wind_in_east.
% 1.71/1.92
% 1.71/1.92 ======= end of input processing =======
% 1.71/1.92
% 1.71/1.92 =========== start of search ===========
% 1.71/1.92
% 1.71/1.92 -------- PROOF --------
% 1.71/1.92
% 1.71/1.92 -----> EMPTY CLAUSE at 0.00 sec ----> 27 [hyper,26,12,23] $F.
% 1.71/1.92
% 1.71/1.92 Length of proof is 13. Level of proof is 8.
% 1.71/1.92
% 1.71/1.92 ---------------- PROOF ----------------
% 1.71/1.92 % SZS status Unsatisfiable
% 1.71/1.92 % SZS output start Refutation
% See solution above
% 1.71/1.92 ------------ end of proof -------------
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 Search stopped by max_proofs option.
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 Search stopped by max_proofs option.
% 1.71/1.92
% 1.71/1.92 ============ end of search ============
% 1.71/1.92
% 1.71/1.92 -------------- statistics -------------
% 1.71/1.92 clauses given 11
% 1.71/1.92 clauses generated 11
% 1.71/1.92 clauses kept 23
% 1.71/1.92 clauses forward subsumed 0
% 1.71/1.92 clauses back subsumed 11
% 1.71/1.92 Kbytes malloced 976
% 1.71/1.92
% 1.71/1.92 ----------- times (seconds) -----------
% 1.71/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.71/1.92
% 1.71/1.92 That finishes the proof of the theorem.
% 1.71/1.92
% 1.71/1.92 Process 19408 finished Wed Jul 27 01:32:32 2022
% 1.71/1.92 Otter interrupted
% 1.71/1.92 PROOF FOUND
%------------------------------------------------------------------------------