TSTP Solution File: NUM016-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:07:26 EDT 2022
% Result : Unsatisfiable 1.92s 2.10s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ less(A,A),
file('NUM016-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ divides(A,B)
| ~ less(B,A) ),
file('NUM016-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ divides(A,factorial_plus_one(B))
| less(B,A) ),
file('NUM016-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ prime(A)
| ~ less(a,A)
| less(factorial_plus_one(a),A) ),
file('NUM016-1.p',unknown),
[] ).
cnf(8,axiom,
less(A,factorial_plus_one(A)),
file('NUM016-1.p',unknown),
[] ).
cnf(9,axiom,
( prime(A)
| divides(prime_divisor(A),A) ),
file('NUM016-1.p',unknown),
[] ).
cnf(10,axiom,
( prime(A)
| prime(prime_divisor(A)) ),
file('NUM016-1.p',unknown),
[] ).
cnf(13,plain,
prime(prime_divisor(factorial_plus_one(a))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[10,6,8]),1]),
[iquote('hyper,10,6,8,unit_del,1')] ).
cnf(14,plain,
divides(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[9,6,8]),1]),
[iquote('hyper,9,6,8,unit_del,1')] ).
cnf(16,plain,
less(a,prime_divisor(factorial_plus_one(a))),
inference(hyper,[status(thm)],[14,5]),
[iquote('hyper,14,5')] ).
cnf(17,plain,
less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))),
inference(hyper,[status(thm)],[16,6,13]),
[iquote('hyper,16,6,13')] ).
cnf(18,plain,
$false,
inference(hyper,[status(thm)],[17,4,14]),
[iquote('hyper,17,4,14')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 09:48:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.92/2.10 ----- Otter 3.3f, August 2004 -----
% 1.92/2.10 The process was started by sandbox2 on n025.cluster.edu,
% 1.92/2.10 Wed Jul 27 09:48:45 2022
% 1.92/2.10 The command was "./otter". The process ID is 10024.
% 1.92/2.10
% 1.92/2.10 set(prolog_style_variables).
% 1.92/2.10 set(auto).
% 1.92/2.10 dependent: set(auto1).
% 1.92/2.10 dependent: set(process_input).
% 1.92/2.10 dependent: clear(print_kept).
% 1.92/2.10 dependent: clear(print_new_demod).
% 1.92/2.10 dependent: clear(print_back_demod).
% 1.92/2.10 dependent: clear(print_back_sub).
% 1.92/2.10 dependent: set(control_memory).
% 1.92/2.10 dependent: assign(max_mem, 12000).
% 1.92/2.10 dependent: assign(pick_given_ratio, 4).
% 1.92/2.10 dependent: assign(stats_level, 1).
% 1.92/2.10 dependent: assign(max_seconds, 10800).
% 1.92/2.10 clear(print_given).
% 1.92/2.10
% 1.92/2.10 list(usable).
% 1.92/2.10 0 [] -less(X,X).
% 1.92/2.10 0 [] -less(X,Y)| -less(Y,X).
% 1.92/2.10 0 [] divides(X,X).
% 1.92/2.10 0 [] -divides(X,Y)| -divides(Y,Z)|divides(X,Z).
% 1.92/2.10 0 [] -divides(X,Y)| -less(Y,X).
% 1.92/2.10 0 [] less(X,factorial_plus_one(X)).
% 1.92/2.10 0 [] -divides(X,factorial_plus_one(Y))|less(Y,X).
% 1.92/2.10 0 [] prime(X)|divides(prime_divisor(X),X).
% 1.92/2.10 0 [] prime(X)|prime(prime_divisor(X)).
% 1.92/2.10 0 [] prime(X)|less(prime_divisor(X),X).
% 1.92/2.10 0 [] prime(a).
% 1.92/2.10 0 [] -prime(X)| -less(a,X)|less(factorial_plus_one(a),X).
% 1.92/2.10 end_of_list.
% 1.92/2.10
% 1.92/2.10 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.92/2.10
% 1.92/2.10 This is a non-Horn set without equality. The strategy will
% 1.92/2.10 be ordered hyper_res, unit deletion, and factoring, with
% 1.92/2.10 satellites in sos and with nuclei in usable.
% 1.92/2.10
% 1.92/2.10 dependent: set(hyper_res).
% 1.92/2.10 dependent: set(factor).
% 1.92/2.10 dependent: set(unit_deletion).
% 1.92/2.10
% 1.92/2.10 ------------> process usable:
% 1.92/2.10 ** KEPT (pick-wt=3): 1 [] -less(A,A).
% 1.92/2.10 ** KEPT (pick-wt=6): 2 [] -less(A,B)| -less(B,A).
% 1.92/2.10 ** KEPT (pick-wt=9): 3 [] -divides(A,B)| -divides(B,C)|divides(A,C).
% 1.92/2.10 ** KEPT (pick-wt=6): 4 [] -divides(A,B)| -less(B,A).
% 1.92/2.10 ** KEPT (pick-wt=7): 5 [] -divides(A,factorial_plus_one(B))|less(B,A).
% 1.92/2.10 ** KEPT (pick-wt=9): 6 [] -prime(A)| -less(a,A)|less(factorial_plus_one(a),A).
% 1.92/2.10
% 1.92/2.10 ------------> process sos:
% 1.92/2.10 ** KEPT (pick-wt=3): 7 [] divides(A,A).
% 1.92/2.10 ** KEPT (pick-wt=4): 8 [] less(A,factorial_plus_one(A)).
% 1.92/2.10 ** KEPT (pick-wt=6): 9 [] prime(A)|divides(prime_divisor(A),A).
% 1.92/2.10 ** KEPT (pick-wt=5): 10 [] prime(A)|prime(prime_divisor(A)).
% 1.92/2.10 ** KEPT (pick-wt=6): 11 [] prime(A)|less(prime_divisor(A),A).
% 1.92/2.10 ** KEPT (pick-wt=2): 12 [] prime(a).
% 1.92/2.10
% 1.92/2.10 ======= end of input processing =======
% 1.92/2.10
% 1.92/2.10 =========== start of search ===========
% 1.92/2.10
% 1.92/2.10 -------- PROOF --------
% 1.92/2.10
% 1.92/2.10 -----> EMPTY CLAUSE at 0.00 sec ----> 18 [hyper,17,4,14] $F.
% 1.92/2.10
% 1.92/2.10 Length of proof is 4. Level of proof is 3.
% 1.92/2.10
% 1.92/2.10 ---------------- PROOF ----------------
% 1.92/2.10 % SZS status Unsatisfiable
% 1.92/2.10 % SZS output start Refutation
% See solution above
% 1.92/2.10 ------------ end of proof -------------
% 1.92/2.10
% 1.92/2.10
% 1.92/2.10 Search stopped by max_proofs option.
% 1.92/2.10
% 1.92/2.10
% 1.92/2.10 Search stopped by max_proofs option.
% 1.92/2.10
% 1.92/2.10 ============ end of search ============
% 1.92/2.10
% 1.92/2.10 -------------- statistics -------------
% 1.92/2.10 clauses given 11
% 1.92/2.10 clauses generated 17
% 1.92/2.10 clauses kept 17
% 1.92/2.10 clauses forward subsumed 10
% 1.92/2.10 clauses back subsumed 0
% 1.92/2.10 Kbytes malloced 976
% 1.92/2.10
% 1.92/2.10 ----------- times (seconds) -----------
% 1.92/2.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.92/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.92/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.92/2.10
% 1.92/2.10 That finishes the proof of the theorem.
% 1.92/2.10
% 1.92/2.10 Process 10024 finished Wed Jul 27 09:48:47 2022
% 1.92/2.10 Otter interrupted
% 1.92/2.10 PROOF FOUND
%------------------------------------------------------------------------------