TSTP Solution File: LAT274-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.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 3.03s 3.19s
% Output   : Refutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   33 (  13 unt;  15 nHn;  25 RR)
%            Number of literals    :   76 (   5 equ;  23 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-4 aty)
%            Number of variables   :   48 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_lesse_quals(A,B,tc_set(t_a))
    | c_in(c_Pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(A,C,v_r),A,t_a)
    | c_in(v_sko__4mk(D,A,v_r),A,t_a)
    | A = c_emptyset ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ c_in(c_Pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_lesse_quals(B,C,tc_set(t_a))
    | c_in(c_Pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(B,D,v_r),B,t_a)
    | B = c_emptyset ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_lesse_quals(B,C,tc_set(t_a))
    | c_in(c_Pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mk(D,B,v_r),B,t_a)
    | B = c_emptyset ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_lesse_quals(B,D,tc_set(t_a))
    | c_in(c_Pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | B = c_emptyset ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ c_in(A,B,C)
    | ~ c_lesse_quals(B,c_Tarski_Ointerval(D,E,F,C),tc_set(C))
    | c_in(c_Pair(E,A,C,C),D,tc_prod(C,C)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ c_in(A,B,C)
    | ~ c_lesse_quals(B,c_Tarski_Ointerval(D,E,F,C),tc_set(C))
    | c_in(c_Pair(A,F,C,C),D,tc_prod(C,C)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))
    | ~ c_in(c_Pair(E,A,C,C),D,tc_prod(C,C))
    | c_in(A,c_Tarski_Ointerval(D,E,B,C),C) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ c_Tarski_OisLub(A,v_cl,B,t_a)
    | ~ c_in(C,A,t_a)
    | c_in(c_Pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ c_Tarski_OisLub(A,v_cl,B,t_a)
    | ~ c_in(C,v_A,t_a)
    | c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(A,v_r,C),A,t_a) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ c_Tarski_OisLub(A,v_cl,B,t_a)
    | ~ c_in(C,v_A,t_a)
    | ~ c_in(c_Pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(11,axiom,
    v_S != c_emptyset,
    file('LAT274-2.p',unknown),
    [] ).

cnf(12,axiom,
    ~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
    file('LAT274-2.p',unknown),
    [] ).

cnf(15,axiom,
    c_in(v_b,v_A,t_a),
    file('LAT274-2.p',unknown),
    [] ).

cnf(16,axiom,
    c_lesse_quals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('LAT274-2.p',unknown),
    [] ).

cnf(17,axiom,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('LAT274-2.p',unknown),
    [] ).

cnf(30,plain,
    ( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
    inference(hyper,[status(thm)],[17,9,15]),
    [iquote('hyper,17,9,15')] ).

cnf(47,plain,
    ( c_in(c_Pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a)
    | c_in(v_sko__4mk(B,v_S,v_r),v_S,t_a) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[16,1]),11]),
    [iquote('hyper,16,1,unit_del,11')] ).

cnf(80,plain,
    ( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(hyper,[status(thm)],[30,6,16]),
    [iquote('hyper,30,6,16')] ).

cnf(567,plain,
    c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[80,10,17,15])]),
    [iquote('hyper,80,10,17,15,factor_simp')] ).

cnf(613,plain,
    ( c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a)
    | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(v_L,c_Tarski_Ointerval(v_r,A,v_b,t_a),t_a) ),
    inference(hyper,[status(thm)],[47,7,567]),
    [iquote('hyper,47,7,567')] ).

cnf(951,plain,
    ( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
    | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
    inference(hyper,[status(thm)],[613,12]),
    [iquote('hyper,613,12')] ).

cnf(1022,plain,
    ( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(hyper,[status(thm)],[951,5,16]),
    [iquote('hyper,951,5,16')] ).

cnf(1533,plain,
    ( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mk(A,v_S,v_r),v_S,t_a) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1022,3,16]),11]),
    [iquote('hyper,1022,3,16,unit_del,11')] ).

cnf(1534,plain,
    ( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(factor,[status(thm)],[1533]),
    [iquote('factor,1533.1.3')] ).

cnf(1641,plain,
    c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1534,7,567]),12]),
    [iquote('hyper,1534,7,567,unit_del,12')] ).

cnf(1750,plain,
    c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(hyper,[status(thm)],[1641,8,17]),
    [iquote('hyper,1641,8,17')] ).

cnf(1760,plain,
    ( c_in(c_Pair(A,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1750,2,16]),11]),
    [iquote('hyper,1750,2,16,unit_del,11')] ).

cnf(1769,plain,
    ( c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a)
    | c_in(v_L,c_Tarski_Ointerval(v_r,A,v_b,t_a),t_a) ),
    inference(hyper,[status(thm)],[1760,7,567]),
    [iquote('hyper,1760,7,567')] ).

cnf(1786,plain,
    c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
    inference(hyper,[status(thm)],[1769,12]),
    [iquote('hyper,1769,12')] ).

cnf(1789,plain,
    c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(hyper,[status(thm)],[1786,5,16]),
    [iquote('hyper,1786,5,16')] ).

cnf(1805,plain,
    c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1789,4,1750,16]),11]),
    [iquote('hyper,1789,4,1750,16,unit_del,11')] ).

cnf(1809,plain,
    c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
    inference(hyper,[status(thm)],[1805,7,567]),
    [iquote('hyper,1805,7,567')] ).

cnf(1810,plain,
    $false,
    inference(binary,[status(thm)],[1809,12]),
    [iquote('binary,1809.1,12.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n013.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 08:29:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.97/2.16  ----- Otter 3.3f, August 2004 -----
% 1.97/2.16  The process was started by sandbox2 on n013.cluster.edu,
% 1.97/2.16  Wed Jul 27 08:29:15 2022
% 1.97/2.16  The command was "./otter".  The process ID is 27880.
% 1.97/2.16  
% 1.97/2.16  set(prolog_style_variables).
% 1.97/2.16  set(auto).
% 1.97/2.16     dependent: set(auto1).
% 1.97/2.16     dependent: set(process_input).
% 1.97/2.16     dependent: clear(print_kept).
% 1.97/2.16     dependent: clear(print_new_demod).
% 1.97/2.16     dependent: clear(print_back_demod).
% 1.97/2.16     dependent: clear(print_back_sub).
% 1.97/2.16     dependent: set(control_memory).
% 1.97/2.16     dependent: assign(max_mem, 12000).
% 1.97/2.16     dependent: assign(pick_given_ratio, 4).
% 1.97/2.16     dependent: assign(stats_level, 1).
% 1.97/2.16     dependent: assign(max_seconds, 10800).
% 1.97/2.16  clear(print_given).
% 1.97/2.16  
% 1.97/2.16  list(usable).
% 1.97/2.16  0 [] A=A.
% 1.97/2.16  0 [] -c_lesse_quals(V_S,V_A,tc_set(t_a))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)|c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)|V_S=c_emptyset.
% 1.97/2.16  0 [] -c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(V_S,V_A,tc_set(t_a))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)|V_S=c_emptyset.
% 1.97/2.16  0 [] -c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(V_S,V_A,tc_set(t_a))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)|V_S=c_emptyset.
% 1.97/2.16  0 [] -c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(V_S,V_A,tc_set(t_a))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|V_S=c_emptyset.
% 1.97/2.16  0 [] -c_in(V_x,V_S,T_a)| -c_lesse_quals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))|c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 1.97/2.16  0 [] -c_in(V_x,V_S,T_a)| -c_lesse_quals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))|c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 1.97/2.16  0 [] -c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))|c_in(V_x,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),T_a).
% 1.97/2.16  0 [] -c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| -c_in(V_y,V_S,t_a)|c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.97/2.16  0 [] -c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| -c_in(V_z,v_A,t_a)|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a).
% 1.97/2.16  0 [] -c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| -c_in(V_z,v_A,t_a)| -c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.97/2.16  0 [] c_in(v_b,v_A,t_a).
% 1.97/2.16  0 [] c_lesse_quals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)).
% 1.97/2.16  0 [] v_S!=c_emptyset.
% 1.97/2.16  0 [] c_Tarski_OisLub(v_S,v_cl,v_L,t_a).
% 1.97/2.16  0 [] -c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a).
% 1.97/2.16  end_of_list.
% 1.97/2.16  
% 1.97/2.16  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.97/2.16  
% 1.97/2.16  This ia a non-Horn set with equality.  The strategy will be
% 1.97/2.16  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.97/2.16  deletion, with positive clauses in sos and nonpositive
% 1.97/2.16  clauses in usable.
% 1.97/2.16  
% 1.97/2.16     dependent: set(knuth_bendix).
% 1.97/2.16     dependent: set(anl_eq).
% 1.97/2.16     dependent: set(para_from).
% 1.97/2.16     dependent: set(para_into).
% 1.97/2.16     dependent: clear(para_from_right).
% 1.97/2.16     dependent: clear(para_into_right).
% 1.97/2.16     dependent: set(para_from_vars).
% 1.97/2.16     dependent: set(eq_units_both_ways).
% 1.97/2.16     dependent: set(dynamic_demod_all).
% 1.97/2.16     dependent: set(dynamic_demod).
% 1.97/2.16     dependent: set(order_eq).
% 1.97/2.16     dependent: set(back_demod).
% 1.97/2.16     dependent: set(lrpo).
% 1.97/2.16     dependent: set(hyper_res).
% 1.97/2.16     dependent: set(unit_deletion).
% 1.97/2.16     dependent: set(factor).
% 1.97/2.16  
% 1.97/2.16  ------------> process usable:
% 1.97/2.16  ** KEPT (pick-wt=32): 1 [] -c_lesse_quals(A,B,tc_set(t_a))|c_in(c_Pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(A,C,v_r),A,t_a)|c_in(v_sko__4mk(D,A,v_r),A,t_a)|A=c_emptyset.
% 1.97/2.16  ** KEPT (pick-wt=38): 2 [] -c_in(c_Pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(B,C,tc_set(t_a))|c_in(c_Pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(B,D,v_r),B,t_a)|B=c_emptyset.
% 1.97/2.16  ** KEPT (pick-wt=38): 3 [] -c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(B,C,tc_set(t_a))|c_in(c_Pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(D,B,v_r),B,t_a)|B=c_emptyset.
% 1.97/2.16  ** KEPT (pick-wt=44): 4 [] -c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(B,D,tc_set(t_a))|c_in(c_Pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|B=c_emptyset.
% 3.03/3.19  ** KEPT (pick-wt=23): 5 [] -c_in(A,B,C)| -c_lesse_quals(B,c_Tarski_Ointerval(D,E,F,C),tc_set(C))|c_in(c_Pair(E,A,C,C),D,tc_prod(C,C)).
% 3.03/3.19  ** KEPT (pick-wt=23): 6 [] -c_in(A,B,C)| -c_lesse_quals(B,c_Tarski_Ointerval(D,E,F,C),tc_set(C))|c_in(c_Pair(A,F,C,C),D,tc_prod(C,C)).
% 3.03/3.19  ** KEPT (pick-wt=28): 7 [] -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(E,A,C,C),D,tc_prod(C,C))|c_in(A,c_Tarski_Ointerval(D,E,B,C),C).
% 3.03/3.19  ** KEPT (pick-wt=19): 8 [] -c_Tarski_OisLub(A,v_cl,B,t_a)| -c_in(C,A,t_a)|c_in(c_Pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 3.03/3.19  ** KEPT (pick-wt=26): 9 [] -c_Tarski_OisLub(A,v_cl,B,t_a)| -c_in(C,v_A,t_a)|c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(A,v_r,C),A,t_a).
% 3.03/3.19  ** KEPT (pick-wt=32): 10 [] -c_Tarski_OisLub(A,v_cl,B,t_a)| -c_in(C,v_A,t_a)| -c_in(c_Pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 3.03/3.19  ** KEPT (pick-wt=3): 11 [] v_S!=c_emptyset.
% 3.03/3.19  ** KEPT (pick-wt=8): 12 [] -c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a).
% 3.03/3.19  
% 3.03/3.19  ------------> process sos:
% 3.03/3.19  ** KEPT (pick-wt=3): 14 [] A=A.
% 3.03/3.19  ** KEPT (pick-wt=4): 15 [] c_in(v_b,v_A,t_a).
% 3.03/3.19  ** KEPT (pick-wt=9): 16 [] c_lesse_quals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)).
% 3.03/3.19  ** KEPT (pick-wt=5): 17 [] c_Tarski_OisLub(v_S,v_cl,v_L,t_a).
% 3.03/3.19    Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] A=A.
% 3.03/3.19  
% 3.03/3.19  ======= end of input processing =======
% 3.03/3.19  
% 3.03/3.19  =========== start of search ===========
% 3.03/3.19  
% 3.03/3.19  
% 3.03/3.19  Resetting weight limit to 38.
% 3.03/3.19  
% 3.03/3.19  
% 3.03/3.19  Resetting weight limit to 38.
% 3.03/3.19  
% 3.03/3.19  sos_size=1106
% 3.03/3.19  
% 3.03/3.19  -------- PROOF -------- 
% 3.03/3.19  
% 3.03/3.19  ----> UNIT CONFLICT at   1.02 sec ----> 1810 [binary,1809.1,12.1] $F.
% 3.03/3.19  
% 3.03/3.19  Length of proof is 17.  Level of proof is 16.
% 3.03/3.19  
% 3.03/3.19  ---------------- PROOF ----------------
% 3.03/3.19  % SZS status Unsatisfiable
% 3.03/3.19  % SZS output start Refutation
% See solution above
% 3.03/3.19  ------------ end of proof -------------
% 3.03/3.19  
% 3.03/3.19  
% 3.03/3.19  Search stopped by max_proofs option.
% 3.03/3.19  
% 3.03/3.19  
% 3.03/3.19  Search stopped by max_proofs option.
% 3.03/3.19  
% 3.03/3.19  ============ end of search ============
% 3.03/3.19  
% 3.03/3.19  -------------- statistics -------------
% 3.03/3.19  clauses given                 40
% 3.03/3.19  clauses generated           2959
% 3.03/3.19  clauses kept                1809
% 3.03/3.19  clauses forward subsumed     157
% 3.03/3.19  clauses back subsumed        836
% 3.03/3.19  Kbytes malloced             4882
% 3.03/3.19  
% 3.03/3.19  ----------- times (seconds) -----------
% 3.03/3.19  user CPU time          1.03          (0 hr, 0 min, 1 sec)
% 3.03/3.19  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.03/3.19  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 3.03/3.19  
% 3.03/3.19  That finishes the proof of the theorem.
% 3.03/3.19  
% 3.03/3.19  Process 27880 finished Wed Jul 27 08:29:18 2022
% 3.03/3.19  Otter interrupted
% 3.03/3.19  PROOF FOUND
%------------------------------------------------------------------------------