## TSTP Solution File: LAT270-2 by Otter---3.3

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 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 13:02:16 EDT 2022

% Result   : Unsatisfiable 1.67s 1.87s
% Output   : Refutation 1.67s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    3 (   0 sgn)

%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_lesse_quals(v_S,v_A,tc_set(t_a)),
file('LAT270-2.p',unknown),
[] ).

cnf(2,axiom,
( ~ c_in(A,v_A,t_a)
| ~ c_in(B,v_A,t_a)
| ~ c_lesse_quals(C,c_Tarski_Ointerval(v_r,B,A,t_a),tc_set(t_a))
| c_lesse_quals(C,v_A,tc_set(t_a)) ),
file('LAT270-2.p',unknown),
[] ).

cnf(3,axiom,
c_in(v_a,v_A,t_a),
file('LAT270-2.p',unknown),
[] ).

cnf(4,axiom,
c_in(v_b,v_A,t_a),
file('LAT270-2.p',unknown),
[] ).

cnf(5,axiom,
c_lesse_quals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('LAT270-2.p',unknown),
[] ).

cnf(6,plain,
c_lesse_quals(v_S,v_A,tc_set(t_a)),
inference(hyper,[status(thm)],[5,2,4,3]),
[iquote('hyper,5,2,4,3')] ).

cnf(7,plain,
\$false,
inference(binary,[status(thm)],[6,1]),
[iquote('binary,6.1,1.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 08:10:20 EDT 2022
% 0.13/0.33  % CPUTime  :
% 1.67/1.87  ----- Otter 3.3f, August 2004 -----
% 1.67/1.87  The process was started by sandbox2 on n012.cluster.edu,
% 1.67/1.87  Wed Jul 27 08:10:20 2022
% 1.67/1.87  The command was "./otter".  The process ID is 27012.
% 1.67/1.87
% 1.67/1.87  set(prolog_style_variables).
% 1.67/1.87  set(auto).
% 1.67/1.87     dependent: set(auto1).
% 1.67/1.87     dependent: set(process_input).
% 1.67/1.87     dependent: clear(print_kept).
% 1.67/1.87     dependent: clear(print_new_demod).
% 1.67/1.87     dependent: clear(print_back_demod).
% 1.67/1.87     dependent: clear(print_back_sub).
% 1.67/1.87     dependent: set(control_memory).
% 1.67/1.87     dependent: assign(max_mem, 12000).
% 1.67/1.87     dependent: assign(pick_given_ratio, 4).
% 1.67/1.87     dependent: assign(stats_level, 1).
% 1.67/1.87     dependent: assign(max_seconds, 10800).
% 1.67/1.87  clear(print_given).
% 1.67/1.87
% 1.67/1.87  list(usable).
% 1.67/1.87  0 [] c_in(v_a,v_A,t_a).
% 1.67/1.87  0 [] c_in(v_b,v_A,t_a).
% 1.67/1.87  0 [] c_lesse_quals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)).
% 1.67/1.87  0 [] -c_lesse_quals(v_S,v_A,tc_set(t_a)).
% 1.67/1.87  0 [] -c_in(V_b,v_A,t_a)| -c_in(V_a,v_A,t_a)| -c_lesse_quals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))|c_lesse_quals(V_S,v_A,tc_set(t_a)).
% 1.67/1.87  end_of_list.
% 1.67/1.87
% 1.67/1.87  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.67/1.87
% 1.67/1.87  This is a Horn set without equality.  The strategy will
% 1.67/1.87  be hyperresolution, with satellites in sos and nuclei
% 1.67/1.87  in usable.
% 1.67/1.87
% 1.67/1.87     dependent: set(hyper_res).
% 1.67/1.87     dependent: clear(order_hyper).
% 1.67/1.87
% 1.67/1.87  ------------> process usable:
% 1.67/1.87  ** KEPT (pick-wt=5): 1 [] -c_lesse_quals(v_S,v_A,tc_set(t_a)).
% 1.67/1.87  ** KEPT (pick-wt=22): 2 [] -c_in(A,v_A,t_a)| -c_in(B,v_A,t_a)| -c_lesse_quals(C,c_Tarski_Ointerval(v_r,B,A,t_a),tc_set(t_a))|c_lesse_quals(C,v_A,tc_set(t_a)).
% 1.67/1.87
% 1.67/1.87  ------------> process sos:
% 1.67/1.87  ** KEPT (pick-wt=4): 3 [] c_in(v_a,v_A,t_a).
% 1.67/1.87  ** KEPT (pick-wt=4): 4 [] c_in(v_b,v_A,t_a).
% 1.67/1.87  ** KEPT (pick-wt=9): 5 [] c_lesse_quals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)).
% 1.67/1.87
% 1.67/1.87  ======= end of input processing =======
% 1.67/1.87
% 1.67/1.87  =========== start of search ===========
% 1.67/1.87
% 1.67/1.87  -------- PROOF --------
% 1.67/1.87
% 1.67/1.87  ----> UNIT CONFLICT at   0.00 sec ----> 7 [binary,6.1,1.1] \$F.
% 1.67/1.87
% 1.67/1.87  Length of proof is 1.  Level of proof is 1.
% 1.67/1.87
% 1.67/1.87  ---------------- PROOF ----------------
% 1.67/1.87  % SZS status Unsatisfiable
% 1.67/1.87  % SZS output start Refutation
% See solution above
% 1.67/1.87  ------------ end of proof -------------
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87  Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87  Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87  ============ end of search ============
% 1.67/1.87
% 1.67/1.87  -------------- statistics -------------
% 1.67/1.87  clauses given                  3
% 1.67/1.87  clauses generated              1
% 1.67/1.87  clauses kept                   6
% 1.67/1.87  clauses forward subsumed       0
% 1.67/1.87  clauses back subsumed          0
% 1.67/1.87  Kbytes malloced              976
% 1.67/1.87
% 1.67/1.87  ----------- times (seconds) -----------
% 1.67/1.87  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.67/1.87  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.67/1.87  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.67/1.87
% 1.67/1.87  That finishes the proof of the theorem.
% 1.67/1.87
% 1.67/1.87  Process 27012 finished Wed Jul 27 08:10:22 2022
% 1.67/1.87  Otter interrupted
% 1.67/1.87  PROOF FOUND
%------------------------------------------------------------------------------
```