TSTP Solution File: PUZ031-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:11:25 EDT 2022
% Result : Unsatisfiable 1.73s 1.93s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 37 ( 19 unt; 5 nHn; 37 RR)
% Number of literals : 74 ( 0 equ; 35 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( animal(A)
| ~ wolf(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(2,axiom,
( animal(A)
| ~ fox(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(3,axiom,
( animal(A)
| ~ bird(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(5,axiom,
( animal(A)
| ~ snail(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(6,axiom,
( plant(A)
| ~ grain(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(7,axiom,
( eats(A,B)
| eats(A,C)
| ~ animal(A)
| ~ plant(B)
| ~ animal(C)
| ~ plant(D)
| ~ much_smaller(C,A)
| ~ eats(C,D) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(9,axiom,
( much_smaller(A,B)
| ~ snail(A)
| ~ bird(B) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(10,axiom,
( much_smaller(A,B)
| ~ bird(A)
| ~ fox(B) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(11,axiom,
( much_smaller(A,B)
| ~ fox(A)
| ~ wolf(B) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ wolf(A)
| ~ grain(B)
| ~ eats(A,B) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ bird(A)
| ~ snail(B)
| ~ eats(A,B) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(18,axiom,
( plant(snail_food_of(A))
| ~ snail(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(19,axiom,
( eats(A,snail_food_of(A))
| ~ snail(A) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ animal(A)
| ~ animal(B)
| ~ grain(C)
| ~ eats(A,B)
| ~ eats(B,C) ),
file('PUZ031-1.p',unknown),
[] ).
cnf(23,plain,
( eats(A,B)
| eats(A,C)
| ~ animal(A)
| ~ plant(B)
| ~ animal(C)
| ~ much_smaller(C,A)
| ~ eats(C,B) ),
inference(factor,[status(thm)],[7]),
[iquote('factor,7.4.6')] ).
cnf(28,axiom,
wolf(a_wolf),
file('PUZ031-1.p',unknown),
[] ).
cnf(29,axiom,
fox(a_fox),
file('PUZ031-1.p',unknown),
[] ).
cnf(30,axiom,
bird(a_bird),
file('PUZ031-1.p',unknown),
[] ).
cnf(32,axiom,
snail(a_snail),
file('PUZ031-1.p',unknown),
[] ).
cnf(33,axiom,
grain(a_grain),
file('PUZ031-1.p',unknown),
[] ).
cnf(34,plain,
animal(a_wolf),
inference(hyper,[status(thm)],[28,1]),
[iquote('hyper,28,1')] ).
cnf(35,plain,
much_smaller(a_fox,a_wolf),
inference(hyper,[status(thm)],[29,11,28]),
[iquote('hyper,29,11,28')] ).
cnf(36,plain,
animal(a_fox),
inference(hyper,[status(thm)],[29,2]),
[iquote('hyper,29,2')] ).
cnf(37,plain,
much_smaller(a_bird,a_fox),
inference(hyper,[status(thm)],[30,10,29]),
[iquote('hyper,30,10,29')] ).
cnf(38,plain,
animal(a_bird),
inference(hyper,[status(thm)],[30,3]),
[iquote('hyper,30,3')] ).
cnf(44,plain,
eats(a_snail,snail_food_of(a_snail)),
inference(hyper,[status(thm)],[32,19]),
[iquote('hyper,32,19')] ).
cnf(45,plain,
plant(snail_food_of(a_snail)),
inference(hyper,[status(thm)],[32,18]),
[iquote('hyper,32,18')] ).
cnf(46,plain,
much_smaller(a_snail,a_bird),
inference(hyper,[status(thm)],[32,9,30]),
[iquote('hyper,32,9,30')] ).
cnf(47,plain,
animal(a_snail),
inference(hyper,[status(thm)],[32,5]),
[iquote('hyper,32,5')] ).
cnf(48,plain,
plant(a_grain),
inference(hyper,[status(thm)],[33,6]),
[iquote('hyper,33,6')] ).
cnf(50,plain,
( eats(a_bird,a_grain)
| eats(a_bird,a_snail) ),
inference(hyper,[status(thm)],[44,7,38,48,47,45,46]),
[iquote('hyper,44,7,38,48,47,45,46')] ).
cnf(55,plain,
eats(a_bird,a_grain),
inference(hyper,[status(thm)],[50,15,30,32]),
[iquote('hyper,50,15,30,32')] ).
cnf(56,plain,
( eats(a_fox,a_grain)
| eats(a_fox,a_bird) ),
inference(hyper,[status(thm)],[55,23,36,48,38,37]),
[iquote('hyper,55,23,36,48,38,37')] ).
cnf(62,plain,
eats(a_fox,a_grain),
inference(hyper,[status(thm)],[56,20,36,38,33,55]),
[iquote('hyper,56,20,36,38,33,55')] ).
cnf(63,plain,
( eats(a_wolf,a_grain)
| eats(a_wolf,a_fox) ),
inference(hyper,[status(thm)],[62,23,34,48,36,35]),
[iquote('hyper,62,23,34,48,36,35')] ).
cnf(67,plain,
eats(a_wolf,a_fox),
inference(hyper,[status(thm)],[63,13,28,33]),
[iquote('hyper,63,13,28,33')] ).
cnf(69,plain,
$false,
inference(hyper,[status(thm)],[67,20,34,36,33,62]),
[iquote('hyper,67,20,34,36,33,62')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n022.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 01:49:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.73/1.93 ----- Otter 3.3f, August 2004 -----
% 1.73/1.93 The process was started by sandbox2 on n022.cluster.edu,
% 1.73/1.93 Wed Jul 27 01:49:20 2022
% 1.73/1.93 The command was "./otter". The process ID is 4514.
% 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 [] animal(X)| -wolf(X).
% 1.73/1.93 0 [] animal(X)| -fox(X).
% 1.73/1.93 0 [] animal(X)| -bird(X).
% 1.73/1.93 0 [] animal(X)| -caterpillar(X).
% 1.73/1.93 0 [] animal(X)| -snail(X).
% 1.73/1.93 0 [] wolf(a_wolf).
% 1.73/1.93 0 [] fox(a_fox).
% 1.73/1.93 0 [] bird(a_bird).
% 1.73/1.93 0 [] caterpillar(a_caterpillar).
% 1.73/1.93 0 [] snail(a_snail).
% 1.73/1.93 0 [] grain(a_grain).
% 1.73/1.93 0 [] plant(X)| -grain(X).
% 1.73/1.93 0 [] eats(Animal,Plant)|eats(Animal,Small_animal)| -animal(Animal)| -plant(Plant)| -animal(Small_animal)| -plant(Other_plant)| -much_smaller(Small_animal,Animal)| -eats(Small_animal,Other_plant).
% 1.73/1.93 0 [] much_smaller(Catapillar,Bird)| -caterpillar(Catapillar)| -bird(Bird).
% 1.73/1.93 0 [] much_smaller(Snail,Bird)| -snail(Snail)| -bird(Bird).
% 1.73/1.93 0 [] much_smaller(Bird,Fox)| -bird(Bird)| -fox(Fox).
% 1.73/1.93 0 [] much_smaller(Fox,Wolf)| -fox(Fox)| -wolf(Wolf).
% 1.73/1.93 0 [] -wolf(Wolf)| -fox(Fox)| -eats(Wolf,Fox).
% 1.73/1.93 0 [] -wolf(Wolf)| -grain(Grain)| -eats(Wolf,Grain).
% 1.73/1.93 0 [] eats(Bird,Catapillar)| -bird(Bird)| -caterpillar(Catapillar).
% 1.73/1.93 0 [] -bird(Bird)| -snail(Snail)| -eats(Bird,Snail).
% 1.73/1.93 0 [] plant(caterpillar_food_of(Catapillar))| -caterpillar(Catapillar).
% 1.73/1.93 0 [] eats(Catapillar,caterpillar_food_of(Catapillar))| -caterpillar(Catapillar).
% 1.73/1.93 0 [] plant(snail_food_of(Snail))| -snail(Snail).
% 1.73/1.93 0 [] eats(Snail,snail_food_of(Snail))| -snail(Snail).
% 1.73/1.93 0 [] -animal(Animal)| -animal(Grain_eater)| -grain(Grain)| -eats(Animal,Grain_eater)| -eats(Grain_eater,Grain).
% 1.73/1.93 end_of_list.
% 1.73/1.93
% 1.73/1.93 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=8.
% 1.73/1.93
% 1.73/1.93 This is a non-Horn set without equality. The strategy will
% 1.73/1.93 be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.93 satellites in sos and with nuclei in usable.
% 1.73/1.93
% 1.73/1.93 dependent: set(hyper_res).
% 1.73/1.93 dependent: set(factor).
% 1.73/1.93 dependent: set(unit_deletion).
% 1.73/1.93
% 1.73/1.93 ------------> process usable:
% 1.73/1.93 ** KEPT (pick-wt=4): 1 [] animal(A)| -wolf(A).
% 1.73/1.93 ** KEPT (pick-wt=4): 2 [] animal(A)| -fox(A).
% 1.73/1.93 ** KEPT (pick-wt=4): 3 [] animal(A)| -bird(A).
% 1.73/1.93 ** KEPT (pick-wt=4): 4 [] animal(A)| -caterpillar(A).
% 1.73/1.93 ** KEPT (pick-wt=4): 5 [] animal(A)| -snail(A).
% 1.73/1.93 ** KEPT (pick-wt=4): 6 [] plant(A)| -grain(A).
% 1.73/1.93 ** KEPT (pick-wt=20): 7 [] eats(A,B)|eats(A,C)| -animal(A)| -plant(B)| -animal(C)| -plant(D)| -much_smaller(C,A)| -eats(C,D).
% 1.73/1.93 ** KEPT (pick-wt=7): 8 [] much_smaller(A,B)| -caterpillar(A)| -bird(B).
% 1.73/1.93 ** KEPT (pick-wt=7): 9 [] much_smaller(A,B)| -snail(A)| -bird(B).
% 1.73/1.93 ** KEPT (pick-wt=7): 10 [] much_smaller(A,B)| -bird(A)| -fox(B).
% 1.73/1.93 ** KEPT (pick-wt=7): 11 [] much_smaller(A,B)| -fox(A)| -wolf(B).
% 1.73/1.93 ** KEPT (pick-wt=7): 12 [] -wolf(A)| -fox(B)| -eats(A,B).
% 1.73/1.93 ** KEPT (pick-wt=7): 13 [] -wolf(A)| -grain(B)| -eats(A,B).
% 1.73/1.93 ** KEPT (pick-wt=7): 14 [] eats(A,B)| -bird(A)| -caterpillar(B).
% 1.73/1.93 ** KEPT (pick-wt=7): 15 [] -bird(A)| -snail(B)| -eats(A,B).
% 1.73/1.93 ** KEPT (pick-wt=5): 16 [] plant(caterpillar_food_of(A))| -caterpillar(A).
% 1.73/1.93 ** KEPT (pick-wt=6): 17 [] eats(A,caterpillar_food_of(A))| -caterpillar(A).
% 1.73/1.93 ** KEPT (pick-wt=5): 18 [] plant(snail_food_of(A))| -snail(A).
% 1.73/1.93 ** KEPT (pick-wt=6): 19 [] eats(A,snail_food_of(A))| -snail(A).
% 1.73/1.93 ** KEPT (pick-wt=12): 20 [] -animal(A)| -animal(B)| -grain(C)| -eats(A,B)| -eats(B,C).
% 1.73/1.93
% 1.73/1.93 ------------> process sos:
% 1.73/1.93 ** KEPT (pick-wt=2): 28 [] wolf(a_wolf).
% 1.73/1.93 ** KEPT (pick-wt=2): 29 [] fox(a_fox).
% 1.73/1.93 ** KEPT (pick-wt=2): 30 [] bird(a_bird).
% 1.73/1.93 ** KEPT (pick-wt=2): 31 [] caterpillar(a_caterpillar).
% 1.73/1.93 ** KEPT (pick-wt=2): 32 [] snail(a_snail).
% 1.73/1.93 ** KEPT (pick-wt=2): 33 [] grain(a_grain).
% 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 0.01 sec ----> 69 [hyper,67,20,34,36,33,62] $F.
% 1.73/1.93
% 1.73/1.93 Length of proof is 17. Level of proof is 7.
% 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 29
% 1.73/1.93 clauses generated 68
% 1.73/1.93 clauses kept 68
% 1.73/1.93 clauses forward subsumed 21
% 1.73/1.93 clauses back subsumed 12
% 1.73/1.93 Kbytes malloced 976
% 1.73/1.93
% 1.73/1.93 ----------- times (seconds) -----------
% 1.73/1.93 user CPU time 0.01 (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 2 (0 hr, 0 min, 2 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 4514 finished Wed Jul 27 01:49:22 2022
% 1.73/1.93 Otter interrupted
% 1.73/1.93 PROOF FOUND
%------------------------------------------------------------------------------