%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 1.73s 1.93s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 6
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ocean(A)
| ~ borders(A,B)
| ~ african(B)
| ~ borders(A,C)
| ~ asian(C) ),
file('PUZ011-1.p',unknown),
[] ).
cnf(3,axiom,
ocean(indian),
file('PUZ011-1.p',unknown),
[] ).
cnf(12,axiom,
borders(indian,iran),
file('PUZ011-1.p',unknown),
[] ).
cnf(13,axiom,
borders(indian,somalia),
file('PUZ011-1.p',unknown),
[] ).
cnf(22,axiom,
african(somalia),
file('PUZ011-1.p',unknown),
[] ).
cnf(27,axiom,
asian(iran),
file('PUZ011-1.p',unknown),
[] ).
cnf(28,plain,
$false,
inference(hyper,[status(thm)],[13,1,3,22,12,27]),
[iquote('hyper,13,1,3,22,12,27')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n018.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 01:51:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.73/1.93 ----- Otter 3.3f, August 2004 -----
% 1.73/1.93 The process was started by sandbox on n018.cluster.edu,
% 1.73/1.93 Wed Jul 27 01:51:31 2022
% 1.73/1.93 The command was "./otter". The process ID is 8775.
% 1.73/1.93
% 1.73/1.93 set(prolog_style_variables).
% 1.73/1.93 set(auto).
% 1.73/1.93 dependent: set(auto1).
% 1.73/1.93 dependent: set(process_input).
% 1.73/1.93 dependent: clear(print_kept).
% 1.73/1.93 dependent: clear(print_new_demod).
% 1.73/1.93 dependent: clear(print_back_demod).
% 1.73/1.93 dependent: clear(print_back_sub).
% 1.73/1.93 dependent: set(control_memory).
% 1.73/1.93 dependent: assign(max_mem, 12000).
% 1.73/1.93 dependent: assign(pick_given_ratio, 4).
% 1.73/1.93 dependent: assign(stats_level, 1).
% 1.73/1.93 dependent: assign(max_seconds, 10800).
% 1.73/1.93 clear(print_given).
% 1.73/1.93
% 1.73/1.93 list(usable).
% 1.73/1.93 0 [] ocean(atlantic).
% 1.73/1.93 0 [] ocean(indian).
% 1.73/1.93 0 [] borders(atlantic,brazil).
% 1.73/1.93 0 [] borders(atlantic,uruguay).
% 1.73/1.93 0 [] borders(atlantic,venesuela).
% 1.73/1.93 0 [] borders(atlantic,zaire).
% 1.73/1.93 0 [] borders(atlantic,nigeria).
% 1.73/1.93 0 [] borders(atlantic,angola).
% 1.73/1.93 0 [] borders(indian,india).
% 1.73/1.93 0 [] borders(indian,pakistan).
% 1.73/1.93 0 [] borders(indian,iran).
% 1.73/1.93 0 [] borders(indian,somalia).
% 1.73/1.93 0 [] borders(indian,kenya).
% 1.73/1.93 0 [] borders(indian,tanzania).
% 1.73/1.93 0 [] south_american(brazil).
% 1.73/1.93 0 [] south_american(uruguay).
% 1.73/1.93 0 [] south_american(venesuela).
% 1.73/1.93 0 [] african(zaire).
% 1.73/1.93 0 [] african(nigeria).
% 1.73/1.93 0 [] african(angola).
% 1.73/1.93 0 [] african(somalia).
% 1.73/1.93 0 [] african(kenya).
% 1.73/1.93 0 [] african(tanzania).
% 1.73/1.93 0 [] asian(india).
% 1.73/1.93 0 [] asian(pakistan).
% 1.73/1.93 0 [] asian(iran).
% 1.73/1.93 0 [] -ocean(Ocean)| -borders(Ocean,African)| -african(African)| -borders(Ocean,Asian)| -asian(Asian).
% 1.73/1.93 end_of_list.
% 1.73/1.93
% 1.73/1.93 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 1.73/1.93
% 1.73/1.93 This is a Horn set without equality. The strategy will
% 1.73/1.93 be hyperresolution, with satellites in sos and nuclei
% 1.73/1.93 in usable.
% 1.73/1.93
% 1.73/1.93 dependent: set(hyper_res).
% 1.73/1.93 dependent: clear(order_hyper).
% 1.73/1.93
% 1.73/1.93 ------------> process usable:
% 1.73/1.93 ** KEPT (pick-wt=12): 1 [] -ocean(A)| -borders(A,B)| -african(B)| -borders(A,C)| -asian(C).
% 1.73/1.93
% 1.73/1.93 ------------> process sos:
% 1.73/1.93 ** KEPT (pick-wt=2): 2 [] ocean(atlantic).
% 1.73/1.93 ** KEPT (pick-wt=2): 3 [] ocean(indian).
% 1.73/1.93 ** KEPT (pick-wt=3): 4 [] borders(atlantic,brazil).
% 1.73/1.93 ** KEPT (pick-wt=3): 5 [] borders(atlantic,uruguay).
% 1.73/1.93 ** KEPT (pick-wt=3): 6 [] borders(atlantic,venesuela).
% 1.73/1.93 ** KEPT (pick-wt=3): 7 [] borders(atlantic,zaire).
% 1.73/1.93 ** KEPT (pick-wt=3): 8 [] borders(atlantic,nigeria).
% 1.73/1.93 ** KEPT (pick-wt=3): 9 [] borders(atlantic,angola).
% 1.73/1.93 ** KEPT (pick-wt=3): 10 [] borders(indian,india).
% 1.73/1.93 ** KEPT (pick-wt=3): 11 [] borders(indian,pakistan).
% 1.73/1.93 ** KEPT (pick-wt=3): 12 [] borders(indian,iran).
% 1.73/1.93 ** KEPT (pick-wt=3): 13 [] borders(indian,somalia).
% 1.73/1.93 ** KEPT (pick-wt=3): 14 [] borders(indian,kenya).
% 1.73/1.93 ** KEPT (pick-wt=3): 15 [] borders(indian,tanzania).
% 1.73/1.93 ** KEPT (pick-wt=2): 16 [] south_american(brazil).
% 1.73/1.93 ** KEPT (pick-wt=2): 17 [] south_american(uruguay).
% 1.73/1.93 ** KEPT (pick-wt=2): 18 [] south_american(venesuela).
% 1.73/1.93 ** KEPT (pick-wt=2): 19 [] african(zaire).
% 1.73/1.93 ** KEPT (pick-wt=2): 20 [] african(nigeria).
% 1.73/1.93 ** KEPT (pick-wt=2): 21 [] african(angola).
% 1.73/1.93 ** KEPT (pick-wt=2): 22 [] african(somalia).
% 1.73/1.93 ** KEPT (pick-wt=2): 23 [] african(kenya).
% 1.73/1.93 ** KEPT (pick-wt=2): 24 [] african(tanzania).
% 1.73/1.93 ** KEPT (pick-wt=2): 25 [] asian(india).
% 1.73/1.93 ** KEPT (pick-wt=2): 26 [] asian(pakistan).
% 1.73/1.93 ** KEPT (pick-wt=2): 27 [] asian(iran).
% 1.73/1.93
% 1.73/1.93 ======= end of input processing =======
% 1.73/1.93
% 1.73/1.93 =========== start of search ===========
% 1.73/1.93
% 1.73/1.93 -------- PROOF --------
% 1.73/1.93
% 1.73/1.93 -----> EMPTY CLAUSE at 0.00 sec ----> 28 [hyper,13,1,3,22,12,27] $F.
% 1.73/1.93
% 1.73/1.93 Length of proof is 0. Level of proof is 0.
% 1.73/1.93
% 1.73/1.93 ---------------- PROOF ----------------
% 1.73/1.93 % SZS status Unsatisfiable
% 1.73/1.93 % SZS output start Refutation
% See solution above
% 1.73/1.93 ------------ end of proof -------------
% 1.73/1.93
% 1.73/1.93
% 1.73/1.93 Search stopped by max_proofs option.
% 1.73/1.93
% 1.73/1.93
% 1.73/1.93 Search stopped by max_proofs option.
% 1.73/1.93
% 1.73/1.93 ============ end of search ============
% 1.73/1.93
% 1.73/1.93 -------------- statistics -------------
% 1.73/1.93 clauses given 24
% 1.73/1.93 clauses generated 1
% 1.73/1.93 clauses kept 27
% 1.73/1.93 clauses forward subsumed 0
% 1.73/1.93 clauses back subsumed 0
% 1.73/1.93 Kbytes malloced 976
% 1.73/1.93
% 1.73/1.93 ----------- times (seconds) -----------
% 1.73/1.93 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.93
% 1.73/1.93 That finishes the proof of the theorem.
% 1.73/1.93
% 1.73/1.93 Process 8775 finished Wed Jul 27 01:51:32 2022
% 1.73/1.93 Otter interrupted
% 1.73/1.93 PROOF FOUND
%------------------------------------------------------------------------------