## TSTP Solution File: SYN053-1 by Otter---3.3

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n012.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 13:23:25 EDT 2022

% Result   : Unsatisfiable 1.65s 1.87s
% Output   : Refutation 1.65s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   3 unt;   1 nHn;   3 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   3 sgn)

%------------------------------------------------------------------------------
cnf(1,axiom,
~ p,
file('SYN053-1.p',unknown),
[] ).

cnf(4,axiom,
( ~ big_f(a)
| ~ big_f(b) ),
file('SYN053-1.p',unknown),
[] ).

cnf(5,axiom,
( p
| big_f(A)
| big_f(B) ),
file('SYN053-1.p',unknown),
[] ).

cnf(6,plain,
big_f(A),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[5]),1])]),
[iquote('copy,5,unit_del,1,factor_simp')] ).

cnf(7,plain,
\$false,
inference(hyper,[status(thm)],[6,4,6]),
[iquote('hyper,6,4,6')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12  % Command  : otter-tptp-script %s
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Jul 27 11:16:50 EDT 2022
% 0.11/0.33  % CPUTime  :
% 1.65/1.87  ----- Otter 3.3f, August 2004 -----
% 1.65/1.87  The process was started by sandbox on n012.cluster.edu,
% 1.65/1.87  Wed Jul 27 11:16:50 2022
% 1.65/1.87  The command was "./otter".  The process ID is 15477.
% 1.65/1.87
% 1.65/1.87  set(prolog_style_variables).
% 1.65/1.87  set(auto).
% 1.65/1.87     dependent: set(auto1).
% 1.65/1.87     dependent: set(process_input).
% 1.65/1.87     dependent: clear(print_kept).
% 1.65/1.87     dependent: clear(print_new_demod).
% 1.65/1.87     dependent: clear(print_back_demod).
% 1.65/1.87     dependent: clear(print_back_sub).
% 1.65/1.87     dependent: set(control_memory).
% 1.65/1.87     dependent: assign(max_mem, 12000).
% 1.65/1.87     dependent: assign(pick_given_ratio, 4).
% 1.65/1.87     dependent: assign(stats_level, 1).
% 1.65/1.87     dependent: assign(max_seconds, 10800).
% 1.65/1.87  clear(print_given).
% 1.65/1.87
% 1.65/1.87  list(usable).
% 1.65/1.87  0 [] p|big_f(X)|big_f(Y).
% 1.65/1.87  0 [] p|big_f(X)|big_f(b).
% 1.65/1.87  0 [] -p.
% 1.65/1.87  0 [] -big_f(a)|p|big_f(Y).
% 1.65/1.87  0 [] -big_f(a)| -big_f(b).
% 1.65/1.87  end_of_list.
% 1.65/1.87
% 1.65/1.87  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.65/1.87
% 1.65/1.87  This is a non-Horn set without equality.  The strategy will
% 1.65/1.87  be ordered hyper_res, unit deletion, and factoring, with
% 1.65/1.87  satellites in sos and with nuclei in usable.
% 1.65/1.87
% 1.65/1.87     dependent: set(hyper_res).
% 1.65/1.87     dependent: set(factor).
% 1.65/1.87     dependent: set(unit_deletion).
% 1.65/1.87
% 1.65/1.87  ------------> process usable:
% 1.65/1.87  ** KEPT (pick-wt=1): 1 [] -p.
% 1.65/1.87  ** KEPT (pick-wt=4): 3 [copy,2,unit_del,1] -big_f(a)|big_f(A).
% 1.65/1.87  ** KEPT (pick-wt=4): 4 [] -big_f(a)| -big_f(b).
% 1.65/1.87
% 1.65/1.87  ------------> process sos:
% 1.65/1.87  ** KEPT (pick-wt=2): 6 [copy,5,unit_del,1,factor_simp] big_f(A).
% 1.65/1.87    Following clause subsumed by 6 during input processing: 0 [unit_del,1,factor_simp] big_f(b).
% 1.65/1.87  6 back subsumes 3.
% 1.65/1.87
% 1.65/1.87  ======= end of input processing =======
% 1.65/1.87
% 1.65/1.87  =========== start of search ===========
% 1.65/1.87
% 1.65/1.87  -------- PROOF --------
% 1.65/1.87
% 1.65/1.87  -----> EMPTY CLAUSE at   0.00 sec ----> 7 [hyper,6,4,6] \$F.
% 1.65/1.87
% 1.65/1.87  Length of proof is 1.  Level of proof is 1.
% 1.65/1.87
% 1.65/1.87  ---------------- PROOF ----------------
% 1.65/1.87  % SZS status Unsatisfiable
% 1.65/1.87  % SZS output start Refutation
% See solution above
% 1.65/1.87  ------------ end of proof -------------
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87  Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87  Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87  ============ end of search ============
% 1.65/1.87
% 1.65/1.87  -------------- statistics -------------
% 1.65/1.87  clauses given                  1
% 1.65/1.87  clauses generated              1
% 1.65/1.87  clauses kept                   4
% 1.65/1.87  clauses forward subsumed       1
% 1.65/1.87  clauses back subsumed          1
% 1.65/1.87  Kbytes malloced              976
% 1.65/1.87
% 1.65/1.87  ----------- times (seconds) -----------
% 1.65/1.87  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.65/1.87  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.65/1.87  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.65/1.87
% 1.65/1.87  That finishes the proof of the theorem.
% 1.65/1.87
% 1.65/1.87  Process 15477 finished Wed Jul 27 11:16:52 2022
% 1.65/1.87  Otter interrupted
% 1.65/1.87  PROOF FOUND
%------------------------------------------------------------------------------
```