%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:11:24 EDT 2022
% Result : Unsatisfiable 1.76s 1.95s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ borders(A,B)
| borders(B,A) ),
file('PUZ022-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ state(A)
| ~ state(B)
| ~ borders(A,B)
| ~ borders(A,C)
| ~ borders(B,C)
| ~ ocean(C) ),
file('PUZ022-1.p',unknown),
[] ).
cnf(4,axiom,
ocean(indian),
file('PUZ022-1.p',unknown),
[] ).
cnf(7,axiom,
state(western_australia),
file('PUZ022-1.p',unknown),
[] ).
cnf(8,axiom,
state(northern_territory),
file('PUZ022-1.p',unknown),
[] ).
cnf(14,axiom,
borders(western_australia,northern_territory),
file('PUZ022-1.p',unknown),
[] ).
cnf(23,axiom,
borders(indian,western_australia),
file('PUZ022-1.p',unknown),
[] ).
cnf(24,axiom,
borders(indian,northern_territory),
file('PUZ022-1.p',unknown),
[] ).
cnf(43,plain,
borders(western_australia,indian),
inference(hyper,[status(thm)],[23,1]),
[iquote('hyper,23,1')] ).
cnf(44,plain,
borders(northern_territory,indian),
inference(hyper,[status(thm)],[24,1]),
[iquote('hyper,24,1')] ).
cnf(54,plain,
$false,
inference(hyper,[status(thm)],[44,2,7,8,14,43,4]),
[iquote('hyper,44,2,7,8,14,43,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n022.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 : 300
% 0.12/0.34 % DateTime : Wed Jul 27 01:48:20 EDT 2022
% 0.12/0.35 % CPUTime :
% 1.76/1.95 ----- Otter 3.3f, August 2004 -----
% 1.76/1.95 The process was started by sandbox on n022.cluster.edu,
% 1.76/1.95 Wed Jul 27 01:48:20 2022
% 1.76/1.95 The command was "./otter". The process ID is 743.
% 1.76/1.95
% 1.76/1.95 set(prolog_style_variables).
% 1.76/1.95 set(auto).
% 1.76/1.95 dependent: set(auto1).
% 1.76/1.95 dependent: set(process_input).
% 1.76/1.95 dependent: clear(print_kept).
% 1.76/1.95 dependent: clear(print_new_demod).
% 1.76/1.95 dependent: clear(print_back_demod).
% 1.76/1.95 dependent: clear(print_back_sub).
% 1.76/1.95 dependent: set(control_memory).
% 1.76/1.95 dependent: assign(max_mem, 12000).
% 1.76/1.95 dependent: assign(pick_given_ratio, 4).
% 1.76/1.95 dependent: assign(stats_level, 1).
% 1.76/1.95 dependent: assign(max_seconds, 10800).
% 1.76/1.95 clear(print_given).
% 1.76/1.95
% 1.76/1.95 list(usable).
% 1.76/1.95 0 [] -borders(Y,X)|borders(X,Y).
% 1.76/1.95 0 [] ocean(atlantic).
% 1.76/1.95 0 [] ocean(indian).
% 1.76/1.95 0 [] ocean(pacific).
% 1.76/1.95 0 [] ocean(southern).
% 1.76/1.95 0 [] state(western_australia).
% 1.76/1.95 0 [] state(northern_territory).
% 1.76/1.95 0 [] state(queensland).
% 1.76/1.95 0 [] state(south_australia).
% 1.76/1.95 0 [] state(new_south_wales).
% 1.76/1.95 0 [] state(victoria).
% 1.76/1.95 0 [] state(tasmania).
% 1.76/1.95 0 [] borders(western_australia,northern_territory).
% 1.76/1.95 0 [] borders(western_australia,south_australia).
% 1.76/1.95 0 [] borders(south_australia,northern_territory).
% 1.76/1.95 0 [] borders(south_australia,queensland).
% 1.76/1.95 0 [] borders(south_australia,new_south_wales).
% 1.76/1.95 0 [] borders(south_australia,victoria).
% 1.76/1.95 0 [] borders(northern_territory,queensland).
% 1.76/1.95 0 [] borders(queensland,new_south_wales).
% 1.76/1.95 0 [] borders(new_south_wales,victoria).
% 1.76/1.95 0 [] borders(indian,western_australia).
% 1.76/1.95 0 [] borders(indian,northern_territory).
% 1.76/1.95 0 [] borders(indian,queensland).
% 1.76/1.95 0 [] borders(southern,western_australia).
% 1.76/1.95 0 [] borders(southern,south_australia).
% 1.76/1.95 0 [] borders(southern,victoria).
% 1.76/1.95 0 [] borders(southern,tasmania).
% 1.76/1.95 0 [] borders(pacific,queensland).
% 1.76/1.95 0 [] borders(pacific,new_south_wales).
% 1.76/1.95 0 [] borders(pacific,victoria).
% 1.76/1.95 0 [] borders(pacific,tasmania).
% 1.76/1.95 0 [] -state(State1)| -state(State2)| -borders(State1,State2)| -borders(State1,Ocean)| -borders(State2,Ocean)| -ocean(Ocean).
% 1.76/1.95 end_of_list.
% 1.76/1.95
% 1.76/1.95 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=6.
% 1.76/1.95
% 1.76/1.95 This is a Horn set without equality. The strategy will
% 1.76/1.95 be hyperresolution, with satellites in sos and nuclei
% 1.76/1.95 in usable.
% 1.76/1.95
% 1.76/1.95 dependent: set(hyper_res).
% 1.76/1.95 dependent: clear(order_hyper).
% 1.76/1.95
% 1.76/1.95 ------------> process usable:
% 1.76/1.95 ** KEPT (pick-wt=6): 1 [] -borders(A,B)|borders(B,A).
% 1.76/1.95 ** KEPT (pick-wt=15): 2 [] -state(A)| -state(B)| -borders(A,B)| -borders(A,C)| -borders(B,C)| -ocean(C).
% 1.76/1.95
% 1.76/1.95 ------------> process sos:
% 1.76/1.95 ** KEPT (pick-wt=2): 3 [] ocean(atlantic).
% 1.76/1.95 ** KEPT (pick-wt=2): 4 [] ocean(indian).
% 1.76/1.95 ** KEPT (pick-wt=2): 5 [] ocean(pacific).
% 1.76/1.95 ** KEPT (pick-wt=2): 6 [] ocean(southern).
% 1.76/1.95 ** KEPT (pick-wt=2): 7 [] state(western_australia).
% 1.76/1.95 ** KEPT (pick-wt=2): 8 [] state(northern_territory).
% 1.76/1.95 ** KEPT (pick-wt=2): 9 [] state(queensland).
% 1.76/1.95 ** KEPT (pick-wt=2): 10 [] state(south_australia).
% 1.76/1.95 ** KEPT (pick-wt=2): 11 [] state(new_south_wales).
% 1.76/1.95 ** KEPT (pick-wt=2): 12 [] state(victoria).
% 1.76/1.95 ** KEPT (pick-wt=2): 13 [] state(tasmania).
% 1.76/1.95 ** KEPT (pick-wt=3): 14 [] borders(western_australia,northern_territory).
% 1.76/1.95 ** KEPT (pick-wt=3): 15 [] borders(western_australia,south_australia).
% 1.76/1.95 ** KEPT (pick-wt=3): 16 [] borders(south_australia,northern_territory).
% 1.76/1.95 ** KEPT (pick-wt=3): 17 [] borders(south_australia,queensland).
% 1.76/1.95 ** KEPT (pick-wt=3): 18 [] borders(south_australia,new_south_wales).
% 1.76/1.95 ** KEPT (pick-wt=3): 19 [] borders(south_australia,victoria).
% 1.76/1.95 ** KEPT (pick-wt=3): 20 [] borders(northern_territory,queensland).
% 1.76/1.95 ** KEPT (pick-wt=3): 21 [] borders(queensland,new_south_wales).
% 1.76/1.95 ** KEPT (pick-wt=3): 22 [] borders(new_south_wales,victoria).
% 1.76/1.95 ** KEPT (pick-wt=3): 23 [] borders(indian,western_australia).
% 1.76/1.95 ** KEPT (pick-wt=3): 24 [] borders(indian,northern_territory).
% 1.76/1.95 ** KEPT (pick-wt=3): 25 [] borders(indian,queensland).
% 1.76/1.95 ** KEPT (pick-wt=3): 26 [] borders(southern,western_australia).
% 1.76/1.95 ** KEPT (pick-wt=3): 27 [] borders(southern,south_australia).
% 1.76/1.95 ** KEPT (pick-wt=3): 28 [] borders(southern,victoria).
% 1.76/1.95 ** KEPT (pick-wt=3): 29 [] borders(southern,tasmania).
% 1.76/1.95 ** KEPT (pick-wt=3): 30 [] borders(pacific,queensland).
% 1.76/1.95 ** KEPT (pick-wt=3): 31 [] borders(pacific,new_south_wales).
% 1.76/1.95 ** KEPT (pick-wt=3): 32 [] borders(pacific,victoria).
% 1.76/1.95 ** KEPT (pick-wt=3): 33 [] borders(pacific,tasmania).
% 1.76/1.95
% 1.76/1.95 ======= end of input processing =======
% 1.76/1.95
% 1.76/1.95 =========== start of search ===========
% 1.76/1.95
% 1.76/1.95 -------- PROOF --------
% 1.76/1.95
% 1.76/1.95 -----> EMPTY CLAUSE at 0.00 sec ----> 54 [hyper,44,2,7,8,14,43,4] $F.
% 1.76/1.95
% 1.76/1.95 Length of proof is 2. Level of proof is 1.
% 1.76/1.95
% 1.76/1.95 ---------------- PROOF ----------------
% 1.76/1.95 % SZS status Unsatisfiable
% 1.76/1.95 % SZS output start Refutation
% See solution above
% 1.76/1.95 ------------ end of proof -------------
% 1.76/1.95
% 1.76/1.95
% 1.76/1.95 Search stopped by max_proofs option.
% 1.76/1.95
% 1.76/1.95
% 1.76/1.95 Search stopped by max_proofs option.
% 1.76/1.95
% 1.76/1.95 ============ end of search ============
% 1.76/1.95
% 1.76/1.95 -------------- statistics -------------
% 1.76/1.96 clauses given 42
% 1.76/1.96 clauses generated 31
% 1.76/1.96 clauses kept 53
% 1.76/1.96 clauses forward subsumed 10
% 1.76/1.96 clauses back subsumed 0
% 1.76/1.96 Kbytes malloced 976
% 1.76/1.96
% 1.76/1.96 ----------- times (seconds) -----------
% 1.76/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.76/1.96
% 1.76/1.96 That finishes the proof of the theorem.
% 1.76/1.96
% 1.76/1.96 Process 743 finished Wed Jul 27 01:48:22 2022
% 1.76/1.96 Otter interrupted
% 1.76/1.96 PROOF FOUND
%------------------------------------------------------------------------------