TSTP Solution File: PUZ004-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:11:01 EDT 2022
% Result : Unsatisfiable 1.64s 1.86s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 9 unt; 3 nHn; 23 RR)
% Number of literals : 37 ( 0 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ dated
| on_blue_paper ),
file('PUZ004-1.p',unknown),
[] ).
cnf(3,axiom,
( in_third_person
| ~ in_black_ink ),
file('PUZ004-1.p',unknown),
[] ).
cnf(4,plain,
( ~ in_black_ink
| in_third_person ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[3])]),
[iquote('copy,3,propositional')] ).
cnf(5,axiom,
( ~ can_be_read
| ~ filed ),
file('PUZ004-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ on_one_sheet
| dated ),
file('PUZ004-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('PUZ004-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ on_blue_paper
| filed ),
file('PUZ004-1.p',unknown),
[] ).
cnf(9,axiom,
( on_one_sheet
| ~ crossed ),
file('PUZ004-1.p',unknown),
[] ).
cnf(10,plain,
( ~ crossed
| on_one_sheet ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,propositional')] ).
cnf(11,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('PUZ004-1.p',unknown),
[] ).
cnf(12,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[11])]),
[iquote('copy,11,propositional')] ).
cnf(13,axiom,
( crossed
| in_black_ink ),
file('PUZ004-1.p',unknown),
[] ).
cnf(14,plain,
( in_black_ink
| crossed ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[13])]),
[iquote('copy,13,propositional')] ).
cnf(15,axiom,
by_brown,
file('PUZ004-1.p',unknown),
[] ).
cnf(16,axiom,
can_be_read,
file('PUZ004-1.p',unknown),
[] ).
cnf(17,plain,
( in_third_person
| crossed ),
inference(hyper,[status(thm)],[14,4]),
[iquote('hyper,14,4')] ).
cnf(18,plain,
begins_with_dear_sir,
inference(hyper,[status(thm)],[15,7]),
[iquote('hyper,15,7')] ).
cnf(19,plain,
crossed,
inference(hyper,[status(thm)],[17,12,18]),
[iquote('hyper,17,12,18')] ).
cnf(20,plain,
on_one_sheet,
inference(hyper,[status(thm)],[19,10]),
[iquote('hyper,19,10')] ).
cnf(21,plain,
dated,
inference(hyper,[status(thm)],[20,6]),
[iquote('hyper,20,6')] ).
cnf(22,plain,
on_blue_paper,
inference(hyper,[status(thm)],[21,1]),
[iquote('hyper,21,1')] ).
cnf(23,plain,
filed,
inference(hyper,[status(thm)],[22,8]),
[iquote('hyper,22,8')] ).
cnf(24,plain,
$false,
inference(hyper,[status(thm)],[23,5,16]),
[iquote('hyper,23,5,16')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 01:56:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.86 ----- Otter 3.3f, August 2004 -----
% 1.64/1.86 The process was started by sandbox2 on n029.cluster.edu,
% 1.64/1.86 Wed Jul 27 01:56:59 2022
% 1.64/1.86 The command was "./otter". The process ID is 14744.
% 1.64/1.86
% 1.64/1.86 set(prolog_style_variables).
% 1.64/1.86 set(auto).
% 1.64/1.86 dependent: set(auto1).
% 1.64/1.86 dependent: set(process_input).
% 1.64/1.86 dependent: clear(print_kept).
% 1.64/1.86 dependent: clear(print_new_demod).
% 1.64/1.86 dependent: clear(print_back_demod).
% 1.64/1.86 dependent: clear(print_back_sub).
% 1.64/1.86 dependent: set(control_memory).
% 1.64/1.86 dependent: assign(max_mem, 12000).
% 1.64/1.86 dependent: assign(pick_given_ratio, 4).
% 1.64/1.86 dependent: assign(stats_level, 1).
% 1.64/1.86 dependent: assign(max_seconds, 10800).
% 1.64/1.86 clear(print_given).
% 1.64/1.86
% 1.64/1.86 list(usable).
% 1.64/1.86 0 [] -dated|on_blue_paper.
% 1.64/1.86 0 [] -in_third_person|in_black_ink.
% 1.64/1.86 0 [] in_third_person| -in_black_ink.
% 1.64/1.86 0 [] -can_be_read| -filed.
% 1.64/1.86 0 [] -on_one_sheet|dated.
% 1.64/1.86 0 [] crossed|in_black_ink.
% 1.64/1.86 0 [] -by_brown|begins_with_dear_sir.
% 1.64/1.86 0 [] -on_blue_paper|filed.
% 1.64/1.86 0 [] on_one_sheet| -crossed.
% 1.64/1.86 0 [] -begins_with_dear_sir| -in_third_person.
% 1.64/1.86 0 [] by_brown.
% 1.64/1.86 0 [] can_be_read.
% 1.64/1.86 end_of_list.
% 1.64/1.86
% 1.64/1.86 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.64/1.86
% 1.64/1.86 The clause set is propositional; the strategy will be
% 1.64/1.86 ordered hyperresolution with the propositional
% 1.64/1.86 optimizations, with satellites in sos and nuclei in usable.
% 1.64/1.86
% 1.64/1.86 dependent: set(hyper_res).
% 1.64/1.86 dependent: set(propositional).
% 1.64/1.86 dependent: set(sort_literals).
% 1.64/1.86
% 1.64/1.86 ------------> process usable:
% 1.64/1.86 ** KEPT (pick-wt=2): 1 [] -dated|on_blue_paper.
% 1.64/1.86 ** KEPT (pick-wt=2): 2 [] -in_third_person|in_black_ink.
% 1.64/1.86 ** KEPT (pick-wt=2): 4 [copy,3,propositional] -in_black_ink|in_third_person.
% 1.64/1.86 ** KEPT (pick-wt=2): 5 [] -can_be_read| -filed.
% 1.64/1.86 ** KEPT (pick-wt=2): 6 [] -on_one_sheet|dated.
% 1.64/1.86 ** KEPT (pick-wt=2): 7 [] -by_brown|begins_with_dear_sir.
% 1.64/1.86 ** KEPT (pick-wt=2): 8 [] -on_blue_paper|filed.
% 1.64/1.86 ** KEPT (pick-wt=2): 10 [copy,9,propositional] -crossed|on_one_sheet.
% 1.64/1.86 ** KEPT (pick-wt=2): 12 [copy,11,propositional] -in_third_person| -begins_with_dear_sir.
% 1.64/1.86
% 1.64/1.86 ------------> process sos:
% 1.64/1.86 ** KEPT (pick-wt=2): 14 [copy,13,propositional] in_black_ink|crossed.
% 1.64/1.86 ** KEPT (pick-wt=1): 15 [] by_brown.
% 1.64/1.86 ** KEPT (pick-wt=1): 16 [] can_be_read.
% 1.64/1.86
% 1.64/1.86 ======= end of input processing =======
% 1.64/1.86
% 1.64/1.86 =========== start of search ===========
% 1.64/1.86
% 1.64/1.86 -------- PROOF --------
% 1.64/1.86
% 1.64/1.86 -----> EMPTY CLAUSE at 0.00 sec ----> 24 [hyper,23,5,16] $F.
% 1.64/1.86
% 1.64/1.86 Length of proof is 11. Level of proof is 7.
% 1.64/1.86
% 1.64/1.86 ---------------- PROOF ----------------
% 1.64/1.86 % SZS status Unsatisfiable
% 1.64/1.86 % SZS output start Refutation
% See solution above
% 1.64/1.86 ------------ end of proof -------------
% 1.64/1.86
% 1.64/1.86
% 1.64/1.86 Search stopped by max_proofs option.
% 1.64/1.86
% 1.64/1.86
% 1.64/1.86 Search stopped by max_proofs option.
% 1.64/1.86
% 1.64/1.86 ============ end of search ============
% 1.64/1.86
% 1.64/1.86 -------------- statistics -------------
% 1.64/1.86 clauses given 10
% 1.64/1.86 clauses generated 9
% 1.64/1.86 clauses kept 19
% 1.64/1.86 clauses forward subsumed 1
% 1.64/1.86 clauses back subsumed 7
% 1.64/1.86 Kbytes malloced 976
% 1.64/1.86
% 1.64/1.86 ----------- times (seconds) -----------
% 1.64/1.86 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.86 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.64/1.86
% 1.64/1.86 That finishes the proof of the theorem.
% 1.64/1.86
% 1.64/1.86 Process 14744 finished Wed Jul 27 01:57:00 2022
% 1.64/1.86 Otter interrupted
% 1.64/1.86 PROOF FOUND
%------------------------------------------------------------------------------