TSTP Solution File: PUZ029-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ029-1 : 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 13:11:25 EDT 2022
% Result : Unsatisfiable 1.80s 1.98s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 10 unt; 6 nHn; 22 RR)
% Number of literals : 46 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ pig(A)
| ~ liable_to_giddiness(A)
| treated_with_respect(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ wise(A)
| ~ balloonist(A)
| has_umbrella(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ looks_ridiculous(A)
| ~ eats_pennybuns(A)
| ~ eats_lunch_in_public(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ balloonist(A)
| ~ young(A)
| liable_to_giddiness(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ fat(A)
| ~ looks_ridiculous(A)
| dances_on_tightropes(A)
| eats_lunch_in_public(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ liable_to_giddiness(A)
| ~ wise(A)
| ~ dances_on_tightropes(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ pig(A)
| ~ has_umbrella(A)
| looks_ridiculous(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(8,axiom,
( dances_on_tightropes(A)
| ~ treated_with_respect(A)
| fat(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ young(A)
| ~ old(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(10,axiom,
( dances_on_tightropes(A)
| eats_pennybuns(A)
| old(A) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(12,axiom,
wise(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(13,axiom,
young(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(14,axiom,
pig(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(15,axiom,
balloonist(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(16,plain,
( dances_on_tightropes(piggy)
| eats_pennybuns(piggy) ),
inference(hyper,[status(thm)],[13,9,10]),
[iquote('hyper,13,9,10')] ).
cnf(17,plain,
liable_to_giddiness(piggy),
inference(hyper,[status(thm)],[15,4,13]),
[iquote('hyper,15,4,13')] ).
cnf(18,plain,
has_umbrella(piggy),
inference(hyper,[status(thm)],[15,2,12]),
[iquote('hyper,15,2,12')] ).
cnf(19,plain,
treated_with_respect(piggy),
inference(hyper,[status(thm)],[17,1,14]),
[iquote('hyper,17,1,14')] ).
cnf(20,plain,
looks_ridiculous(piggy),
inference(hyper,[status(thm)],[18,7,14]),
[iquote('hyper,18,7,14')] ).
cnf(21,plain,
( dances_on_tightropes(piggy)
| fat(piggy) ),
inference(hyper,[status(thm)],[19,8]),
[iquote('hyper,19,8')] ).
cnf(22,plain,
( dances_on_tightropes(piggy)
| eats_lunch_in_public(piggy) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[21,5,20])]),
[iquote('hyper,21,5,20,factor_simp')] ).
cnf(23,plain,
dances_on_tightropes(piggy),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[22,3,20,16])]),
[iquote('hyper,22,3,20,16,factor_simp')] ).
cnf(24,plain,
$false,
inference(hyper,[status(thm)],[23,6,17,12]),
[iquote('hyper,23,6,17,12')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n029.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 01:56:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.80/1.98 ----- Otter 3.3f, August 2004 -----
% 1.80/1.98 The process was started by sandbox2 on n029.cluster.edu,
% 1.80/1.98 Wed Jul 27 01:56:44 2022
% 1.80/1.98 The command was "./otter". The process ID is 13695.
% 1.80/1.98
% 1.80/1.98 set(prolog_style_variables).
% 1.80/1.98 set(auto).
% 1.80/1.98 dependent: set(auto1).
% 1.80/1.98 dependent: set(process_input).
% 1.80/1.98 dependent: clear(print_kept).
% 1.80/1.98 dependent: clear(print_new_demod).
% 1.80/1.98 dependent: clear(print_back_demod).
% 1.80/1.98 dependent: clear(print_back_sub).
% 1.80/1.98 dependent: set(control_memory).
% 1.80/1.98 dependent: assign(max_mem, 12000).
% 1.80/1.98 dependent: assign(pick_given_ratio, 4).
% 1.80/1.98 dependent: assign(stats_level, 1).
% 1.80/1.98 dependent: assign(max_seconds, 10800).
% 1.80/1.98 clear(print_given).
% 1.80/1.98
% 1.80/1.98 list(usable).
% 1.80/1.98 0 [] dances_on_tightropes(X)|eats_pennybuns(X)|old(X).
% 1.80/1.98 0 [] -pig(X)| -liable_to_giddiness(X)|treated_with_respect(X).
% 1.80/1.98 0 [] -wise(X)| -balloonist(X)|has_umbrella(X).
% 1.80/1.98 0 [] -looks_ridiculous(X)| -eats_pennybuns(X)| -eats_lunch_in_public(X).
% 1.80/1.98 0 [] -balloonist(X)| -young(X)|liable_to_giddiness(X).
% 1.80/1.98 0 [] -fat(X)| -looks_ridiculous(X)|dances_on_tightropes(X)|eats_lunch_in_public(X).
% 1.80/1.98 0 [] -liable_to_giddiness(X)| -wise(X)| -dances_on_tightropes(X).
% 1.80/1.98 0 [] -pig(X)| -has_umbrella(X)|looks_ridiculous(X).
% 1.80/1.98 0 [] dances_on_tightropes(X)| -treated_with_respect(X)|fat(X).
% 1.80/1.98 0 [] young(X)|old(X).
% 1.80/1.98 0 [] -young(X)| -old(X).
% 1.80/1.98 0 [] wise(piggy).
% 1.80/1.98 0 [] young(piggy).
% 1.80/1.98 0 [] pig(piggy).
% 1.80/1.98 0 [] balloonist(piggy).
% 1.80/1.98 end_of_list.
% 1.80/1.98
% 1.80/1.98 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.80/1.98
% 1.80/1.98 This is a non-Horn set without equality. The strategy will
% 1.80/1.98 be ordered hyper_res, unit deletion, and factoring, with
% 1.80/1.98 satellites in sos and with nuclei in usable.
% 1.80/1.98
% 1.80/1.98 dependent: set(hyper_res).
% 1.80/1.98 dependent: set(factor).
% 1.80/1.98 dependent: set(unit_deletion).
% 1.80/1.98
% 1.80/1.98 ------------> process usable:
% 1.80/1.98 ** KEPT (pick-wt=6): 1 [] -pig(A)| -liable_to_giddiness(A)|treated_with_respect(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 2 [] -wise(A)| -balloonist(A)|has_umbrella(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 3 [] -looks_ridiculous(A)| -eats_pennybuns(A)| -eats_lunch_in_public(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 4 [] -balloonist(A)| -young(A)|liable_to_giddiness(A).
% 1.80/1.98 ** KEPT (pick-wt=8): 5 [] -fat(A)| -looks_ridiculous(A)|dances_on_tightropes(A)|eats_lunch_in_public(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 6 [] -liable_to_giddiness(A)| -wise(A)| -dances_on_tightropes(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 7 [] -pig(A)| -has_umbrella(A)|looks_ridiculous(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 8 [] dances_on_tightropes(A)| -treated_with_respect(A)|fat(A).
% 1.80/1.98 ** KEPT (pick-wt=4): 9 [] -young(A)| -old(A).
% 1.80/1.98
% 1.80/1.98 ------------> process sos:
% 1.80/1.98 ** KEPT (pick-wt=6): 10 [] dances_on_tightropes(A)|eats_pennybuns(A)|old(A).
% 1.80/1.98 ** KEPT (pick-wt=4): 11 [] young(A)|old(A).
% 1.80/1.98 ** KEPT (pick-wt=2): 12 [] wise(piggy).
% 1.80/1.98 ** KEPT (pick-wt=2): 13 [] young(piggy).
% 1.80/1.98 ** KEPT (pick-wt=2): 14 [] pig(piggy).
% 1.80/1.98 ** KEPT (pick-wt=2): 15 [] balloonist(piggy).
% 1.80/1.98
% 1.80/1.98 ======= end of input processing =======
% 1.80/1.98
% 1.80/1.98 =========== start of search ===========
% 1.80/1.98
% 1.80/1.98 -------- PROOF --------
% 1.80/1.98
% 1.80/1.98 -----> EMPTY CLAUSE at 0.00 sec ----> 24 [hyper,23,6,17,12] $F.
% 1.80/1.98
% 1.80/1.98 Length of proof is 8. Level of proof is 5.
% 1.80/1.98
% 1.80/1.98 ---------------- PROOF ----------------
% 1.80/1.98 % SZS status Unsatisfiable
% 1.80/1.98 % SZS output start Refutation
% See solution above
% 1.80/1.98 ------------ end of proof -------------
% 1.80/1.98
% 1.80/1.98
% 1.80/1.98 Search stopped by max_proofs option.
% 1.80/1.98
% 1.80/1.98
% 1.80/1.98 Search stopped by max_proofs option.
% 1.80/1.98
% 1.80/1.98 ============ end of search ============
% 1.80/1.98
% 1.80/1.98 -------------- statistics -------------
% 1.80/1.98 clauses given 14
% 1.80/1.98 clauses generated 11
% 1.80/1.98 clauses kept 23
% 1.80/1.98 clauses forward subsumed 2
% 1.80/1.98 clauses back subsumed 3
% 1.80/1.98 Kbytes malloced 976
% 1.80/1.98
% 1.80/1.98 ----------- times (seconds) -----------
% 1.80/1.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.98 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/1.98
% 1.80/1.98 That finishes the proof of the theorem.
% 1.80/1.98
% 1.80/1.98 Process 13695 finished Wed Jul 27 01:56:46 2022
% 1.80/1.98 Otter interrupted
% 1.80/1.98 PROOF FOUND
%------------------------------------------------------------------------------