TSTP Solution File: SYN098-1.002 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n019.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 13:23:34 EDT 2022

% Result   : Unsatisfiable 1.78s 1.96s
% Output   : Refutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (   9 unt;  15 nHn;  38 RR)
%            Number of literals    :   81 (   0 equ;  29 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   14 (  13 usr;  14 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( u_1
    | ~ p_0
    | ~ q_0 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(2,plain,
    ( ~ p_0
    | ~ q_0
    | u_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[1])]),
    [iquote('copy,1,propositional')] ).

cnf(3,axiom,
    ~ u_1,
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(4,axiom,
    ( u_2
    | p_0
    | ~ p_1
    | ~ p_2 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(5,plain,
    ( ~ p_1
    | ~ p_2
    | p_0
    | u_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
    [iquote('copy,4,propositional')] ).

cnf(6,axiom,
    ( p_0
    | ~ u_2 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(7,plain,
    ( ~ u_2
    | p_0 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[6])]),
    [iquote('copy,6,propositional')] ).

cnf(12,axiom,
    ( u_4
    | p_1
    | ~ p_2
    | ~ p_3 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(13,plain,
    ( ~ p_2
    | ~ p_3
    | p_1
    | u_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[12])]),
    [iquote('copy,12,propositional')] ).

cnf(14,axiom,
    ( p_1
    | ~ u_4 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(15,plain,
    ( ~ u_4
    | p_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[14])]),
    [iquote('copy,14,propositional')] ).

cnf(20,axiom,
    ( u_6
    | q_0
    | ~ p_1
    | ~ q_2 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(21,plain,
    ( ~ p_1
    | ~ q_2
    | q_0
    | u_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[20])]),
    [iquote('copy,20,propositional')] ).

cnf(22,axiom,
    ( q_0
    | ~ u_6 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(23,plain,
    ( ~ u_6
    | q_0 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[22])]),
    [iquote('copy,22,propositional')] ).

cnf(52,axiom,
    ( p_2
    | ~ u_14 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(53,plain,
    ( ~ u_14
    | p_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[52])]),
    [iquote('copy,52,propositional')] ).

cnf(54,axiom,
    ( p_3
    | ~ u_15 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(55,plain,
    ( ~ u_15
    | p_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[54])]),
    [iquote('copy,54,propositional')] ).

cnf(56,axiom,
    ( q_2
    | ~ u_16 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(57,plain,
    ( ~ u_16
    | q_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[56])]),
    [iquote('copy,56,propositional')] ).

cnf(107,axiom,
    ( u_14
    | p_2 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(108,plain,
    ( p_2
    | u_14 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[107])]),
    [iquote('copy,107,propositional')] ).

cnf(109,axiom,
    ( u_15
    | p_3 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(110,plain,
    ( p_3
    | u_15 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[109])]),
    [iquote('copy,109,propositional')] ).

cnf(111,axiom,
    ( u_16
    | q_2 ),
    file('SYN098-1.002.p',unknown),
    [] ).

cnf(112,plain,
    ( q_2
    | u_16 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[111])]),
    [iquote('copy,111,propositional')] ).

cnf(116,plain,
    p_2,
    inference(hyper,[status(thm)],[108,53]),
    [iquote('hyper,108,53')] ).

cnf(119,plain,
    p_3,
    inference(hyper,[status(thm)],[110,55]),
    [iquote('hyper,110,55')] ).

cnf(120,plain,
    ( p_1
    | u_4 ),
    inference(hyper,[status(thm)],[119,13,116]),
    [iquote('hyper,119,13,116')] ).

cnf(121,plain,
    q_2,
    inference(hyper,[status(thm)],[112,57]),
    [iquote('hyper,112,57')] ).

cnf(130,plain,
    p_1,
    inference(hyper,[status(thm)],[120,15]),
    [iquote('hyper,120,15')] ).

cnf(131,plain,
    ( q_0
    | u_6 ),
    inference(hyper,[status(thm)],[130,21,121]),
    [iquote('hyper,130,21,121')] ).

cnf(132,plain,
    ( p_0
    | u_2 ),
    inference(hyper,[status(thm)],[130,5,116]),
    [iquote('hyper,130,5,116')] ).

cnf(139,plain,
    q_0,
    inference(hyper,[status(thm)],[131,23]),
    [iquote('hyper,131,23')] ).

cnf(140,plain,
    p_0,
    inference(hyper,[status(thm)],[132,7]),
    [iquote('hyper,132,7')] ).

cnf(141,plain,
    u_1,
    inference(hyper,[status(thm)],[140,2,139]),
    [iquote('hyper,140,2,139')] ).

cnf(142,plain,
    $false,
    inference(binary,[status(thm)],[141,3]),
    [iquote('binary,141.1,3.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n019.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 11:15:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.78/1.96  ----- Otter 3.3f, August 2004 -----
% 1.78/1.96  The process was started by sandbox on n019.cluster.edu,
% 1.78/1.96  Wed Jul 27 11:15:37 2022
% 1.78/1.96  The command was "./otter".  The process ID is 30599.
% 1.78/1.96  
% 1.78/1.96  set(prolog_style_variables).
% 1.78/1.96  set(auto).
% 1.78/1.96     dependent: set(auto1).
% 1.78/1.96     dependent: set(process_input).
% 1.78/1.96     dependent: clear(print_kept).
% 1.78/1.96     dependent: clear(print_new_demod).
% 1.78/1.96     dependent: clear(print_back_demod).
% 1.78/1.96     dependent: clear(print_back_sub).
% 1.78/1.96     dependent: set(control_memory).
% 1.78/1.96     dependent: assign(max_mem, 12000).
% 1.78/1.96     dependent: assign(pick_given_ratio, 4).
% 1.78/1.96     dependent: assign(stats_level, 1).
% 1.78/1.96     dependent: assign(max_seconds, 10800).
% 1.78/1.96  clear(print_given).
% 1.78/1.96  
% 1.78/1.96  list(usable).
% 1.78/1.96  0 [] u_1| -p_0| -q_0.
% 1.78/1.96  0 [] -u_1.
% 1.78/1.96  0 [] u_2|p_0| -p_1| -p_2.
% 1.78/1.96  0 [] p_0| -u_2.
% 1.78/1.96  0 [] u_3|p_0| -q_1| -q_2.
% 1.78/1.96  0 [] p_0| -u_3.
% 1.78/1.96  0 [] u_4|p_1| -p_2| -p_3.
% 1.78/1.96  0 [] p_1| -u_4.
% 1.78/1.96  0 [] u_5|p_1| -q_2| -q_3.
% 1.78/1.96  0 [] p_1| -u_5.
% 1.78/1.96  0 [] u_6|q_0| -p_1| -q_2.
% 1.78/1.96  0 [] q_0| -u_6.
% 1.78/1.96  0 [] u_7|q_0| -q_1| -p_2.
% 1.78/1.96  0 [] q_0| -u_7.
% 1.78/1.96  0 [] u_8|q_1| -p_2| -q_3.
% 1.78/1.96  0 [] q_1| -u_8.
% 1.78/1.96  0 [] u_9|q_1| -q_2| -p_3.
% 1.78/1.96  0 [] q_1| -u_9.
% 1.78/1.96  0 [] u_10|p_3| -p_1.
% 1.78/1.96  0 [] p_3| -u_10.
% 1.78/1.96  0 [] u_11|p_4| -p_2.
% 1.78/1.96  0 [] p_4| -u_11.
% 1.78/1.96  0 [] u_12|q_3| -q_1.
% 1.78/1.96  0 [] q_3| -u_12.
% 1.78/1.96  0 [] u_13|q_4| -q_2.
% 1.78/1.96  0 [] q_4| -u_13.
% 1.78/1.96  0 [] u_14|p_2.
% 1.78/1.96  0 [] p_2| -u_14.
% 1.78/1.96  0 [] u_15|p_3.
% 1.78/1.96  0 [] p_3| -u_15.
% 1.78/1.96  0 [] u_16|q_2.
% 1.78/1.96  0 [] q_2| -u_16.
% 1.78/1.96  0 [] u_17|q_3.
% 1.78/1.96  0 [] q_3| -u_17.
% 1.78/1.96  0 [] -sym_u_1|sym_p_0|sym_q_0.
% 1.78/1.96  0 [] sym_u_1.
% 1.78/1.96  0 [] -sym_u_2| -sym_p_0|sym_p_1|sym_p_2.
% 1.78/1.96  0 [] -sym_p_0|sym_u_2.
% 1.78/1.96  0 [] -sym_u_3| -sym_p_0|sym_q_1|sym_q_2.
% 1.78/1.96  0 [] -sym_p_0|sym_u_3.
% 1.78/1.96  0 [] -sym_u_4| -sym_p_1|sym_p_2|sym_p_3.
% 1.78/1.96  0 [] -sym_p_1|sym_u_4.
% 1.78/1.96  0 [] -sym_u_5| -sym_p_1|sym_q_2|sym_q_3.
% 1.78/1.96  0 [] -sym_p_1|sym_u_5.
% 1.78/1.96  0 [] -sym_u_6| -sym_q_0|sym_p_1|sym_q_2.
% 1.78/1.96  0 [] -sym_q_0|sym_u_6.
% 1.78/1.96  0 [] -sym_u_7| -sym_q_0|sym_q_1|sym_p_2.
% 1.78/1.96  0 [] -sym_q_0|sym_u_7.
% 1.78/1.96  0 [] -sym_u_8| -sym_q_1|sym_p_2|sym_q_3.
% 1.78/1.96  0 [] -sym_q_1|sym_u_8.
% 1.78/1.96  0 [] -sym_u_9| -sym_q_1|sym_q_2|sym_p_3.
% 1.78/1.96  0 [] -sym_q_1|sym_u_9.
% 1.78/1.96  0 [] -sym_u_10| -sym_p_3|sym_p_1.
% 1.78/1.96  0 [] -sym_p_3|sym_u_10.
% 1.78/1.96  0 [] -sym_u_11| -sym_p_4|sym_p_2.
% 1.78/1.96  0 [] -sym_p_4|sym_u_11.
% 1.78/1.96  0 [] -sym_u_12| -sym_q_3|sym_q_1.
% 1.78/1.96  0 [] -sym_q_3|sym_u_12.
% 1.78/1.96  0 [] -sym_u_13| -sym_q_4|sym_q_2.
% 1.78/1.96  0 [] -sym_q_4|sym_u_13.
% 1.78/1.96  0 [] -sym_u_14| -sym_p_2.
% 1.78/1.96  0 [] -sym_p_2|sym_u_14.
% 1.78/1.96  0 [] -sym_u_15| -sym_p_3.
% 1.78/1.96  0 [] -sym_p_3|sym_u_15.
% 1.78/1.96  0 [] -sym_u_16| -sym_q_2.
% 1.78/1.96  0 [] -sym_q_2|sym_u_16.
% 1.78/1.96  0 [] -sym_u_17| -sym_q_3.
% 1.78/1.96  0 [] -sym_q_3|sym_u_17.
% 1.78/1.96  end_of_list.
% 1.78/1.96  
% 1.78/1.96  SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.78/1.96  
% 1.78/1.96  The clause set is propositional; the strategy will be
% 1.78/1.96  ordered hyperresolution with the propositional
% 1.78/1.96  optimizations, with satellites in sos and nuclei in usable.
% 1.78/1.96  
% 1.78/1.96     dependent: set(hyper_res).
% 1.78/1.96     dependent: set(propositional).
% 1.78/1.96     dependent: set(sort_literals).
% 1.78/1.96  
% 1.78/1.96  ------------> process usable:
% 1.78/1.96  ** KEPT (pick-wt=3): 2 [copy,1,propositional] -p_0| -q_0|u_1.
% 1.78/1.96  ** KEPT (pick-wt=1): 3 [] -u_1.
% 1.78/1.96  ** KEPT (pick-wt=4): 5 [copy,4,propositional] -p_1| -p_2|p_0|u_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 7 [copy,6,propositional] -u_2|p_0.
% 1.78/1.96  ** KEPT (pick-wt=4): 9 [copy,8,propositional] -q_1| -q_2|p_0|u_3.
% 1.78/1.96  ** KEPT (pick-wt=2): 11 [copy,10,propositional] -u_3|p_0.
% 1.78/1.96  ** KEPT (pick-wt=4): 13 [copy,12,propositional] -p_2| -p_3|p_1|u_4.
% 1.78/1.96  ** KEPT (pick-wt=2): 15 [copy,14,propositional] -u_4|p_1.
% 1.78/1.96  ** KEPT (pick-wt=4): 17 [copy,16,propositional] -q_2| -q_3|p_1|u_5.
% 1.78/1.96  ** KEPT (pick-wt=2): 19 [copy,18,propositional] -u_5|p_1.
% 1.78/1.96  ** KEPT (pick-wt=4): 21 [copy,20,propositional] -p_1| -q_2|q_0|u_6.
% 1.78/1.96  ** KEPT (pick-wt=2): 23 [copy,22,propositional] -u_6|q_0.
% 1.78/1.96  ** KEPT (pick-wt=4): 25 [copy,24,propositional] -p_2| -q_1|q_0|u_7.
% 1.78/1.96  ** KEPT (pick-wt=2): 27 [copy,26,propositional] -u_7|q_0.
% 1.78/1.96  ** KEPT (pick-wt=4): 29 [copy,28,propositional] -p_2| -q_3|q_1|u_8.
% 1.78/1.96  ** KEPT (pick-wt=2): 31 [copy,30,propositional] -u_8|q_1.
% 1.78/1.96  ** KEPT (pick-wt=4): 33 [copy,32,propositional] -q_2| -p_3|q_1|u_9.
% 1.78/1.96  ** KEPT (pick-wt=2): 35 [copy,34,propositional] -u_9|q_1.
% 1.78/1.96  ** KEPT (pick-wt=3): 37 [copy,36,propositional] -p_1|p_3|u_10.
% 1.78/1.96  ** KEPT (pick-wt=2): 39 [copy,38,propositional] -u_10|p_3.
% 1.78/1.96  ** KEPT (pick-wt=3): 41 [copy,40,propositional] -p_2|u_11|p_4.
% 1.78/1.96  ** KEPT (pick-wt=2): 43 [copy,42,propositional] -u_11|p_4.
% 1.78/1.96  ** KEPT (pick-wt=3): 45 [copy,44,propositional] -q_1|q_3|u_12.
% 1.78/1.96  ** KEPT (pick-wt=2): 47 [copy,46,propositional] -u_12|q_3.
% 1.78/1.96  ** KEPT (pick-wt=3): 49 [copy,48,propositional] -q_2|u_13|q_4.
% 1.78/1.96  ** KEPT (pick-wt=2): 51 [copy,50,propositional] -u_13|q_4.
% 1.78/1.96  ** KEPT (pick-wt=2): 53 [copy,52,propositional] -u_14|p_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 55 [copy,54,propositional] -u_15|p_3.
% 1.78/1.96  ** KEPT (pick-wt=2): 57 [copy,56,propositional] -u_16|q_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 59 [copy,58,propositional] -u_17|q_3.
% 1.78/1.96  ** KEPT (pick-wt=3): 60 [] -sym_u_1|sym_p_0|sym_q_0.
% 1.78/1.96  ** KEPT (pick-wt=4): 62 [copy,61,propositional] -sym_p_0| -sym_u_2|sym_p_1|sym_p_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 63 [] -sym_p_0|sym_u_2.
% 1.78/1.96  ** KEPT (pick-wt=4): 65 [copy,64,propositional] -sym_p_0| -sym_u_3|sym_q_1|sym_q_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 66 [] -sym_p_0|sym_u_3.
% 1.78/1.96  ** KEPT (pick-wt=4): 68 [copy,67,propositional] -sym_p_1| -sym_u_4|sym_p_2|sym_p_3.
% 1.78/1.96  ** KEPT (pick-wt=2): 69 [] -sym_p_1|sym_u_4.
% 1.78/1.96  ** KEPT (pick-wt=4): 71 [copy,70,propositional] -sym_p_1| -sym_u_5|sym_q_2|sym_q_3.
% 1.78/1.96  ** KEPT (pick-wt=2): 72 [] -sym_p_1|sym_u_5.
% 1.78/1.96  ** KEPT (pick-wt=4): 74 [copy,73,propositional] -sym_q_0| -sym_u_6|sym_p_1|sym_q_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 75 [] -sym_q_0|sym_u_6.
% 1.78/1.96  ** KEPT (pick-wt=4): 77 [copy,76,propositional] -sym_q_0| -sym_u_7|sym_p_2|sym_q_1.
% 1.78/1.96  ** KEPT (pick-wt=2): 78 [] -sym_q_0|sym_u_7.
% 1.78/1.96  ** KEPT (pick-wt=4): 80 [copy,79,propositional] -sym_q_1| -sym_u_8|sym_p_2|sym_q_3.
% 1.78/1.96  ** KEPT (pick-wt=2): 81 [] -sym_q_1|sym_u_8.
% 1.78/1.96  ** KEPT (pick-wt=4): 83 [copy,82,propositional] -sym_q_1| -sym_u_9|sym_q_2|sym_p_3.
% 1.78/1.96  ** KEPT (pick-wt=2): 84 [] -sym_q_1|sym_u_9.
% 1.78/1.96  ** KEPT (pick-wt=3): 86 [copy,85,propositional] -sym_p_3| -sym_u_10|sym_p_1.
% 1.78/1.96  ** KEPT (pick-wt=2): 87 [] -sym_p_3|sym_u_10.
% 1.78/1.96  ** KEPT (pick-wt=3): 88 [] -sym_u_11| -sym_p_4|sym_p_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 89 [] -sym_p_4|sym_u_11.
% 1.78/1.96  ** KEPT (pick-wt=3): 91 [copy,90,propositional] -sym_q_3| -sym_u_12|sym_q_1.
% 1.78/1.96  ** KEPT (pick-wt=2): 92 [] -sym_q_3|sym_u_12.
% 1.78/1.96  ** KEPT (pick-wt=3): 93 [] -sym_u_13| -sym_q_4|sym_q_2.
% 1.78/1.96  ** KEPT (pick-wt=2): 94 [] -sym_q_4|sym_u_13.
% 1.78/1.96  ** KEPT (pick-wt=2): 96 [copy,95,propositional] -sym_p_2| -sym_u_14.
% 1.78/1.96  ** KEPT (pick-wt=2): 97 [] -sym_p_2|sym_u_14.
% 1.78/1.96  ** KEPT (pick-wt=2): 99 [copy,98,propositional] -sym_p_3| -sym_u_15.
% 1.78/1.96  ** KEPT (pick-wt=2): 100 [] -sym_p_3|sym_u_15.
% 1.78/1.96  ** KEPT (pick-wt=2): 102 [copy,101,propositional] -sym_q_2| -sym_u_16.
% 1.78/1.96  ** KEPT (pick-wt=2): 103 [] -sym_q_2|sym_u_16.
% 1.78/1.96  ** KEPT (pick-wt=2): 105 [copy,104,propositional] -sym_q_3| -sym_u_17.
% 1.78/1.96  ** KEPT (pick-wt=2): 106 [] -sym_q_3|sym_u_17.
% 1.78/1.96  
% 1.78/1.96  ------------> process sos:
% 1.78/1.96  ** KEPT (pick-wt=2): 108 [copy,107,propositional] p_2|u_14.
% 1.78/1.96  ** KEPT (pick-wt=2): 110 [copy,109,propositional] p_3|u_15.
% 1.78/1.96  ** KEPT (pick-wt=2): 112 [copy,111,propositional] q_2|u_16.
% 1.78/1.96  ** KEPT (pick-wt=2): 114 [copy,113,propositional] q_3|u_17.
% 1.78/1.96  ** KEPT (pick-wt=1): 115 [] sym_u_1.
% 1.78/1.96  
% 1.78/1.96  ======= end of input processing =======
% 1.78/1.96  
% 1.78/1.96  =========== start of search ===========
% 1.78/1.96  
% 1.78/1.96  -------- PROOF -------- 
% 1.78/1.96  
% 1.78/1.96  ----> UNIT CONFLICT at   0.00 sec ----> 142 [binary,141.1,3.1] $F.
% 1.78/1.96  
% 1.78/1.96  Length of proof is 23.  Level of proof is 7.
% 1.78/1.96  
% 1.78/1.96  ---------------- PROOF ----------------
% 1.78/1.96  % SZS status Unsatisfiable
% 1.78/1.96  % SZS output start Refutation
% See solution above
% 1.78/1.96  ------------ end of proof -------------
% 1.78/1.96  
% 1.78/1.96  
% 1.78/1.96  Search stopped by max_proofs option.
% 1.78/1.96  
% 1.78/1.96  
% 1.78/1.96  Search stopped by max_proofs option.
% 1.78/1.96  
% 1.78/1.96  ============ end of search ============
% 1.78/1.96  
% 1.78/1.96  -------------- statistics -------------
% 1.78/1.96  clauses given                 24
% 1.78/1.96  clauses generated             26
% 1.78/1.96  clauses kept                  94
% 1.78/1.96  clauses forward subsumed       0
% 1.78/1.96  clauses back subsumed         43
% 1.78/1.96  Kbytes malloced              976
% 1.78/1.96  
% 1.78/1.96  ----------- times (seconds) -----------
% 1.78/1.96  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.78/1.96  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.78/1.96  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.78/1.96  
% 1.78/1.96  That finishes the proof of the theorem.
% 1.78/1.96  
% 1.78/1.96  Process 30599 finished Wed Jul 27 11:15:38 2022
% 1.78/1.96  Otter interrupted
% 1.78/1.96  PROOF FOUND
%------------------------------------------------------------------------------