TSTP Solution File: GEO077-4 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GEO077-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.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 12:54:20 EDT 2022

% Result   : Unsatisfiable 10.15s 10.35s
% Output   : Refutation 10.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   33 (  25 unt;   8 nHn;  33 RR)
%            Number of literals    :   79 (  25 equ;  37 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( on(A,line_from_to(A,B))
    | A = B
    | ~ point(A)
    | ~ point(B) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(2,axiom,
    ( on(A,line_from_to(B,A))
    | B = A
    | ~ point(B)
    | ~ point(A) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(3,axiom,
    ( line(line_from_to(A,B))
    | A = B
    | ~ point(A)
    | ~ point(B) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ on(A,B)
    | A = C
    | ~ on(C,B)
    | B = D
    | ~ on(A,D)
    | ~ on(C,D)
    | ~ point(A)
    | ~ point(C)
    | ~ line(B)
    | ~ line(D) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ point(A)
    | ~ point(B)
    | ~ point(C)
    | A = B
    | A = C
    | B = C
    | on(A,line_through_3_points(A,B,C))
    | ~ collinear(A,B,C) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ point(A)
    | ~ point(B)
    | ~ point(C)
    | A = B
    | A = C
    | B = C
    | on(B,line_through_3_points(A,B,C))
    | ~ collinear(A,B,C) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ point(A)
    | ~ point(B)
    | ~ point(C)
    | A = B
    | A = C
    | B = C
    | on(C,line_through_3_points(A,B,C))
    | ~ collinear(A,B,C) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(31,axiom,
    ( ~ point(A)
    | ~ point(B)
    | ~ point(C)
    | A = B
    | A = C
    | B = C
    | line(line_through_3_points(A,B,C))
    | ~ collinear(A,B,C) ),
    file('GEO077-4.p',unknown),
    [] ).

cnf(33,axiom,
    ~ on(point3,a_line),
    file('GEO077-4.p',unknown),
    [] ).

cnf(34,axiom,
    point1 != point2,
    file('GEO077-4.p',unknown),
    [] ).

cnf(35,plain,
    point2 != point1,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[34])]),
    [iquote('copy,34,flip.1')] ).

cnf(36,axiom,
    point1 != point3,
    file('GEO077-4.p',unknown),
    [] ).

cnf(37,plain,
    point3 != point1,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[36])]),
    [iquote('copy,36,flip.1')] ).

cnf(38,axiom,
    point2 != point3,
    file('GEO077-4.p',unknown),
    [] ).

cnf(39,plain,
    point3 != point2,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[38])]),
    [iquote('copy,38,flip.1')] ).

cnf(97,axiom,
    point(point1),
    file('GEO077-4.p',unknown),
    [] ).

cnf(98,axiom,
    point(point2),
    file('GEO077-4.p',unknown),
    [] ).

cnf(99,axiom,
    point(point3),
    file('GEO077-4.p',unknown),
    [] ).

cnf(100,axiom,
    line(a_line),
    file('GEO077-4.p',unknown),
    [] ).

cnf(101,axiom,
    on(point1,a_line),
    file('GEO077-4.p',unknown),
    [] ).

cnf(102,axiom,
    on(point2,a_line),
    file('GEO077-4.p',unknown),
    [] ).

cnf(103,axiom,
    collinear(point1,point2,point3),
    file('GEO077-4.p',unknown),
    [] ).

cnf(198,plain,
    line(line_from_to(point1,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[99,3,97]),37]),
    [iquote('hyper,99,3,97,unit_del,37')] ).

cnf(202,plain,
    on(point3,line_from_to(point1,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[99,2,97]),37]),
    [iquote('hyper,99,2,97,unit_del,37')] ).

cnf(206,plain,
    on(point1,line_from_to(point1,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[99,1,97]),37]),
    [iquote('hyper,99,1,97,unit_del,37')] ).

cnf(850,plain,
    line(line_through_3_points(point1,point2,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[103,31,97,98,99]),35,37,39]),
    [iquote('hyper,103,31,97,98,99,unit_del,35,37,39')] ).

cnf(851,plain,
    on(point3,line_through_3_points(point1,point2,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[103,30,97,98,99]),35,37,39]),
    [iquote('hyper,103,30,97,98,99,unit_del,35,37,39')] ).

cnf(852,plain,
    on(point2,line_through_3_points(point1,point2,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[103,29,97,98,99]),35,37,39]),
    [iquote('hyper,103,29,97,98,99,unit_del,35,37,39')] ).

cnf(853,plain,
    on(point1,line_through_3_points(point1,point2,point3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[103,28,97,98,99]),35,37,39]),
    [iquote('hyper,103,28,97,98,99,unit_del,35,37,39')] ).

cnf(3305,plain,
    line_from_to(point1,point3) = line_through_3_points(point1,point2,point3),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[853,4,202,206,851,99,97,198,850]),37]),
    [iquote('hyper,853,4,202,206,851,99,97,198,850,unit_del,37')] ).

cnf(3307,plain,
    line_through_3_points(point1,point2,point3) = a_line,
    inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[853,4,102,101,852,98,97,100,850]),35])]),
    [iquote('hyper,853,4,102,101,852,98,97,100,850,unit_del,35,flip.1')] ).

cnf(3311,plain,
    on(point3,a_line),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[202]),3305,3307]),
    [iquote('back_demod,202,demod,3305,3307')] ).

cnf(3312,plain,
    $false,
    inference(binary,[status(thm)],[3311,33]),
    [iquote('binary,3311.1,33.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO077-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n022.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 07:21:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.96/2.13  ----- Otter 3.3f, August 2004 -----
% 1.96/2.13  The process was started by sandbox on n022.cluster.edu,
% 1.96/2.13  Wed Jul 27 07:21:20 2022
% 1.96/2.13  The command was "./otter".  The process ID is 943.
% 1.96/2.13  
% 1.96/2.13  set(prolog_style_variables).
% 1.96/2.13  set(auto).
% 1.96/2.13     dependent: set(auto1).
% 1.96/2.13     dependent: set(process_input).
% 1.96/2.13     dependent: clear(print_kept).
% 1.96/2.13     dependent: clear(print_new_demod).
% 1.96/2.13     dependent: clear(print_back_demod).
% 1.96/2.13     dependent: clear(print_back_sub).
% 1.96/2.13     dependent: set(control_memory).
% 1.96/2.13     dependent: assign(max_mem, 12000).
% 1.96/2.13     dependent: assign(pick_given_ratio, 4).
% 1.96/2.13     dependent: assign(stats_level, 1).
% 1.96/2.13     dependent: assign(max_seconds, 10800).
% 1.96/2.13  clear(print_given).
% 1.96/2.13  
% 1.96/2.13  list(usable).
% 1.96/2.13  0 [] A=A.
% 1.96/2.13  0 [] on(Z1,line_from_to(Z1,Z2))|Z1=Z2| -point(Z1)| -point(Z2).
% 1.96/2.13  0 [] on(Z2,line_from_to(Z1,Z2))|Z1=Z2| -point(Z1)| -point(Z2).
% 1.96/2.13  0 [] line(line_from_to(Z1,Z2))|Z1=Z2| -point(Z1)| -point(Z2).
% 1.96/2.13  0 [] -on(Z1,Y3)|Z1=Z2| -on(Z2,Y3)|Y3=Y4| -on(Z1,Y4)| -on(Z2,Y4)| -point(Z1)| -point(Z2)| -line(Y3)| -line(Y4).
% 1.96/2.13  0 [] on(point_1_on_line(Y1),Y1)| -line(Y1).
% 1.96/2.13  0 [] on(point_2_on_line(Y1),Y1)| -line(Y1).
% 1.96/2.13  0 [] point(point_1_on_line(Y1))| -line(Y1).
% 1.96/2.13  0 [] point(point_2_on_line(Y1))| -line(Y1).
% 1.96/2.13  0 [] point_1_on_line(Y1)!=point_2_on_line(Y1)| -line(Y1).
% 1.96/2.13  0 [] -on(point_not_on_line(Y1),Y1)| -line(Y1).
% 1.96/2.13  0 [] point(point_not_on_line(Y1))| -line(Y1).
% 1.96/2.13  0 [] line(at_least_one_line).
% 1.96/2.13  0 [] -plane(Z1)|on(point_on_plane(Z1),Z1).
% 1.96/2.13  0 [] -plane(Z1)|point(point_on_plane(Z1)).
% 1.96/2.13  0 [] -plane(Z1)| -on(point_not_on_plane(Z1),Z1).
% 1.96/2.13  0 [] -plane(Z1)|point(point_not_on_plane(Z1)).
% 1.96/2.13  0 [] on(X1,plane_for_points(X1,X2,X3))| -point(X1)| -point(X2)| -point(X3)|collinear(X1,X2,X3)|X1=X2|X1=X3|X2=X3.
% 1.96/2.13  0 [] on(X2,plane_for_points(X1,X2,X3))| -point(X1)| -point(X2)| -point(X3)|collinear(X1,X2,X3)|X1=X2|X1=X3|X2=X3.
% 1.96/2.13  0 [] on(X3,plane_for_points(X1,X2,X3))| -point(X1)| -point(X2)| -point(X3)|collinear(X1,X2,X3)|X1=X2|X1=X3|X2=X3.
% 1.96/2.13  0 [] plane(plane_for_points(X1,X2,X3))| -point(X1)| -point(X2)| -point(X3)|collinear(X1,X2,X3)|X1=X2|X1=X3|X2=X3.
% 1.96/2.13  0 [] -point(X1)| -point(X2)| -point(X3)|collinear(X1,X2,X3)|X1=X2|X1=X3|X2=X3| -on(X1,Z1)| -on(X2,Z1)| -on(X3,Z1)| -plane(Z1)| -on(X1,Z2)| -on(X2,Z2)| -on(X3,Z2)| -plane(Z2)|Z1=Z2.
% 1.96/2.13  0 [] -on(X1,Y1)| -on(X2,Y1)| -on(X1,Z1)| -on(X2,Z1)| -plane(Z1)| -point(X1)| -point(X2)| -line(Y1)|X1=X2|on(Y1,Z1).
% 1.96/2.13  0 [] -plane(Z1)| -plane(Z2)|Z1=Z2| -on(X1,Z1)| -on(X1,Z2)| -point(X1)|on(common_point_on_planes(Z1,Z2,X1),Z1).
% 1.96/2.13  0 [] -plane(Z1)| -plane(Z2)|Z1=Z2| -on(X1,Z1)| -on(X1,Z2)| -point(X1)|on(common_point_on_planes(Z1,Z2,X1),Z2).
% 1.96/2.13  0 [] -plane(Z1)| -plane(Z2)|Z1=Z2| -on(X1,Z1)| -on(X1,Z2)| -point(X1)|point(common_point_on_planes(Z1,Z2,X1)).
% 1.96/2.13  0 [] -plane(Z1)| -plane(Z2)|Z1=Z2| -on(X1,Z1)| -on(X1,Z2)| -point(X1)|X1!=common_point_on_planes(Z1,Z2,X1).
% 1.96/2.13  0 [] -point(X1)| -point(X2)| -point(X3)|X1=X2|X1=X3|X2=X3|on(X1,line_through_3_points(X1,X2,X3))| -collinear(X1,X2,X3).
% 1.96/2.13  0 [] -point(X1)| -point(X2)| -point(X3)|X1=X2|X1=X3|X2=X3|on(X2,line_through_3_points(X1,X2,X3))| -collinear(X1,X2,X3).
% 1.96/2.13  0 [] -point(X1)| -point(X2)| -point(X3)|X1=X2|X1=X3|X2=X3|on(X3,line_through_3_points(X1,X2,X3))| -collinear(X1,X2,X3).
% 1.96/2.13  0 [] -point(X1)| -point(X2)| -point(X3)|X1=X2|X1=X3|X2=X3|line(line_through_3_points(X1,X2,X3))| -collinear(X1,X2,X3).
% 1.96/2.13  0 [] collinear(X1,X2,X3)| -on(X1,Y)| -on(X2,Y)| -on(X3,Y)| -point(X1)| -point(X2)| -point(X3)|X1=X2|X1=X3|X2=X3| -line(Y).
% 1.96/2.13  0 [] point(point1).
% 1.96/2.13  0 [] point(point2).
% 1.96/2.13  0 [] point(point3).
% 1.96/2.13  0 [] line(a_line).
% 1.96/2.13  0 [] on(point1,a_line).
% 1.96/2.13  0 [] on(point2,a_line).
% 1.96/2.13  0 [] -on(point3,a_line).
% 1.96/2.13  0 [] point1!=point2.
% 1.96/2.13  0 [] point1!=point3.
% 1.96/2.13  0 [] point2!=point3.
% 1.96/2.13  0 [] collinear(point1,point2,point3).
% 1.96/2.13  end_of_list.
% 1.96/2.13  
% 1.96/2.13  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=16.
% 1.96/2.13  
% 1.96/2.13  This ia a non-Horn set with equality.  The strategy will be
% 1.96/2.13  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.96/2.13  deletion, with positive clauses in sos and nonpositive
% 1.96/2.13  clauses in usable.
% 1.96/2.13  
% 1.96/2.13     dependent: set(knuth_bendix).
% 1.96/2.13     dependent: set(anl_eq).
% 1.96/2.13     dependent: set(para_from).
% 1.96/2.13     dependent: set(para_into).
% 1.96/2.13     dependent: clear(para_from_right).
% 1.96/2.13     dependent: clear(para_into_right).
% 1.96/2.13     dependent: set(para_from_vars).
% 1.96/2.13     dependent: set(eq_units_both_ways).
% 1.96/2.13     dependent: set(dynamic_demod_all).
% 1.96/2.13     dependent: set(dynamic_demod).
% 1.96/2.13     dependent: set(order_eq).
% 1.96/2.13     dependent: set(back_demod).
% 1.96/2.13     dependent: set(lrpo).
% 1.96/2.13     dependent: set(hyper_res).
% 1.96/2.13     dependent: set(unit_deletion).
% 1.96/2.13     dependent: set(factor).
% 1.96/2.13  
% 1.96/2.13  ------------> process usable:
% 1.96/2.13  ** KEPT (pick-wt=12): 1 [] on(A,line_from_to(A,B))|A=B| -point(A)| -point(B).
% 1.96/2.13  ** KEPT (pick-wt=12): 2 [] on(A,line_from_to(B,A))|B=A| -point(B)| -point(A).
% 1.96/2.13  ** KEPT (pick-wt=11): 3 [] line(line_from_to(A,B))|A=B| -point(A)| -point(B).
% 1.96/2.13  ** KEPT (pick-wt=26): 4 [] -on(A,B)|A=C| -on(C,B)|B=D| -on(A,D)| -on(C,D)| -point(A)| -point(C)| -line(B)| -line(D).
% 1.96/2.13  ** KEPT (pick-wt=6): 5 [] on(point_1_on_line(A),A)| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=6): 6 [] on(point_2_on_line(A),A)| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=5): 7 [] point(point_1_on_line(A))| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=5): 8 [] point(point_2_on_line(A))| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=7): 10 [copy,9,flip.1] point_2_on_line(A)!=point_1_on_line(A)| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=6): 11 [] -on(point_not_on_line(A),A)| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=5): 12 [] point(point_not_on_line(A))| -line(A).
% 1.96/2.13  ** KEPT (pick-wt=6): 13 [] -plane(A)|on(point_on_plane(A),A).
% 1.96/2.13  ** KEPT (pick-wt=5): 14 [] -plane(A)|point(point_on_plane(A)).
% 1.96/2.13  ** KEPT (pick-wt=6): 15 [] -plane(A)| -on(point_not_on_plane(A),A).
% 1.96/2.13  ** KEPT (pick-wt=5): 16 [] -plane(A)|point(point_not_on_plane(A)).
% 1.96/2.13  ** KEPT (pick-wt=25): 17 [] on(A,plane_for_points(A,B,C))| -point(A)| -point(B)| -point(C)|collinear(A,B,C)|A=B|A=C|B=C.
% 1.96/2.13  ** KEPT (pick-wt=25): 18 [] on(A,plane_for_points(B,A,C))| -point(B)| -point(A)| -point(C)|collinear(B,A,C)|B=A|B=C|A=C.
% 1.96/2.13  ** KEPT (pick-wt=25): 19 [] on(A,plane_for_points(B,C,A))| -point(B)| -point(C)| -point(A)|collinear(B,C,A)|B=C|B=A|C=A.
% 1.96/2.13  ** KEPT (pick-wt=24): 20 [] plane(plane_for_points(A,B,C))| -point(A)| -point(B)| -point(C)|collinear(A,B,C)|A=B|A=C|B=C.
% 1.96/2.13  ** KEPT (pick-wt=44): 21 [] -point(A)| -point(B)| -point(C)|collinear(A,B,C)|A=B|A=C|B=C| -on(A,D)| -on(B,D)| -on(C,D)| -plane(D)| -on(A,E)| -on(B,E)| -on(C,E)| -plane(E)|D=E.
% 1.96/2.13  ** KEPT (pick-wt=26): 22 [] -on(A,B)| -on(C,B)| -on(A,D)| -on(C,D)| -plane(D)| -point(A)| -point(C)| -line(B)|A=C|on(B,D).
% 1.96/2.13  ** KEPT (pick-wt=21): 23 [] -plane(A)| -plane(B)|A=B| -on(C,A)| -on(C,B)| -point(C)|on(common_point_on_planes(A,B,C),A).
% 1.96/2.13  ** KEPT (pick-wt=21): 24 [] -plane(A)| -plane(B)|A=B| -on(C,A)| -on(C,B)| -point(C)|on(common_point_on_planes(A,B,C),B).
% 1.96/2.13  ** KEPT (pick-wt=20): 25 [] -plane(A)| -plane(B)|A=B| -on(C,A)| -on(C,B)| -point(C)|point(common_point_on_planes(A,B,C)).
% 1.96/2.13  ** KEPT (pick-wt=21): 27 [copy,26,flip.7] -plane(A)| -plane(B)|A=B| -on(C,A)| -on(C,B)| -point(C)|common_point_on_planes(A,B,C)!=C.
% 1.96/2.13  ** KEPT (pick-wt=25): 28 [] -point(A)| -point(B)| -point(C)|A=B|A=C|B=C|on(A,line_through_3_points(A,B,C))| -collinear(A,B,C).
% 1.96/2.13  ** KEPT (pick-wt=25): 29 [] -point(A)| -point(B)| -point(C)|A=B|A=C|B=C|on(B,line_through_3_points(A,B,C))| -collinear(A,B,C).
% 1.96/2.13  ** KEPT (pick-wt=25): 30 [] -point(A)| -point(B)| -point(C)|A=B|A=C|B=C|on(C,line_through_3_points(A,B,C))| -collinear(A,B,C).
% 1.96/2.13  ** KEPT (pick-wt=24): 31 [] -point(A)| -point(B)| -point(C)|A=B|A=C|B=C|line(line_through_3_points(A,B,C))| -collinear(A,B,C).
% 1.96/2.13  ** KEPT (pick-wt=30): 32 [] collinear(A,B,C)| -on(A,D)| -on(B,D)| -on(C,D)| -point(A)| -point(B)| -point(C)|A=B|A=C|B=C| -line(D).
% 1.96/2.13  ** KEPT (pick-wt=3): 33 [] -on(point3,a_line).
% 1.96/2.13  ** KEPT (pick-wt=3): 35 [copy,34,flip.1] point2!=point1.
% 1.96/2.13  ** KEPT (pick-wt=3): 37 [copy,36,flip.1] point3!=point1.
% 1.96/2.13  ** KEPT (pick-wt=3): 39 [copy,38,flip.1] point3!=point2.
% 1.96/2.13  
% 1.96/2.13  ------------> process sos:
% 1.96/2.13  ** KEPT (pick-wt=3): 95 [] A=A.
% 1.96/2.13  ** KEPT (pick-wt=2): 96 [] line(at_least_one_line).
% 1.96/2.13  ** KEPT (pick-wt=2): 97 [] point(point1).
% 1.96/2.13  ** KEPT (pick-wt=2): 98 [] point(point2).
% 1.96/2.13  ** KEPT (pick-wt=2): 99 [] point(point3).
% 1.96/2.13  ** KEPT (pick-wt=2): 100 [] line(a_line).
% 1.96/2.13  ** KEPT (pick-wt=3): 101 [] on(point1,a_line).
% 1.96/2.13  ** KEPT (pick-wt=3): 102 [] on(point2,a_line).
% 1.96/2.13  ** KEPT (pick-wt=4): 103 [] collinear(point1,point2,point3).
% 1.96/2.13    Following clause subsumed by 95 during input processing: 0 [copy,95,flip.1] A=A.
% 1.96/2.13  95 back subsumes 94.
% 1.96/2.13  95 back subsumes 93.
% 1.96/2.13  95 back subsumes 92.
% 1.96/2.13  95 back subsumes 91.
% 1.96/2.13  95 back subsumes 90.
% 10.15/10.35  95 back subsumes 89.
% 10.15/10.35  95 back subsumes 88.
% 10.15/10.35  95 back subsumes 87.
% 10.15/10.35  95 back subsumes 86.
% 10.15/10.35  95 back subsumes 85.
% 10.15/10.35  95 back subsumes 84.
% 10.15/10.35  95 back subsumes 83.
% 10.15/10.35  95 back subsumes 82.
% 10.15/10.35  95 back subsumes 81.
% 10.15/10.35  95 back subsumes 80.
% 10.15/10.35  95 back subsumes 79.
% 10.15/10.35  95 back subsumes 78.
% 10.15/10.35  95 back subsumes 77.
% 10.15/10.35  95 back subsumes 76.
% 10.15/10.35  95 back subsumes 75.
% 10.15/10.35  95 back subsumes 74.
% 10.15/10.35  95 back subsumes 73.
% 10.15/10.35  95 back subsumes 72.
% 10.15/10.35  95 back subsumes 71.
% 10.15/10.35  95 back subsumes 70.
% 10.15/10.35  95 back subsumes 68.
% 10.15/10.35  95 back subsumes 67.
% 10.15/10.35  95 back subsumes 66.
% 10.15/10.35  95 back subsumes 65.
% 10.15/10.35  95 back subsumes 64.
% 10.15/10.35  95 back subsumes 60.
% 10.15/10.35  95 back subsumes 59.
% 10.15/10.35  95 back subsumes 58.
% 10.15/10.35  95 back subsumes 57.
% 10.15/10.35  95 back subsumes 56.
% 10.15/10.35  95 back subsumes 55.
% 10.15/10.35  95 back subsumes 54.
% 10.15/10.35  95 back subsumes 53.
% 10.15/10.35  95 back subsumes 52.
% 10.15/10.35  95 back subsumes 51.
% 10.15/10.35  95 back subsumes 50.
% 10.15/10.35  95 back subsumes 49.
% 10.15/10.35  95 back subsumes 48.
% 10.15/10.35  95 back subsumes 47.
% 10.15/10.35  95 back subsumes 46.
% 10.15/10.35  95 back subsumes 44.
% 10.15/10.35  95 back subsumes 43.
% 10.15/10.35  95 back subsumes 42.
% 10.15/10.35  95 back subsumes 41.
% 10.15/10.35  95 back subsumes 40.
% 10.15/10.35  
% 10.15/10.35  ======= end of input processing =======
% 10.15/10.35  
% 10.15/10.35  =========== start of search ===========
% 10.15/10.35  
% 10.15/10.35  
% 10.15/10.35  Resetting weight limit to 11.
% 10.15/10.35  
% 10.15/10.35  
% 10.15/10.35  Resetting weight limit to 11.
% 10.15/10.35  
% 10.15/10.35  sos_size=3058
% 10.15/10.35  
% 10.15/10.35  -------- PROOF -------- 
% 10.15/10.35  
% 10.15/10.35  ----> UNIT CONFLICT at   8.24 sec ----> 3312 [binary,3311.1,33.1] $F.
% 10.15/10.35  
% 10.15/10.35  Length of proof is 13.  Level of proof is 4.
% 10.15/10.35  
% 10.15/10.35  ---------------- PROOF ----------------
% 10.15/10.35  % SZS status Unsatisfiable
% 10.15/10.35  % SZS output start Refutation
% See solution above
% 10.15/10.35  ------------ end of proof -------------
% 10.15/10.35  
% 10.15/10.35  
% 10.15/10.35  Search stopped by max_proofs option.
% 10.15/10.35  
% 10.15/10.35  
% 10.15/10.35  Search stopped by max_proofs option.
% 10.15/10.35  
% 10.15/10.35  ============ end of search ============
% 10.15/10.35  
% 10.15/10.35  -------------- statistics -------------
% 10.15/10.35  clauses given                 57
% 10.15/10.35  clauses generated          34336
% 10.15/10.35  clauses kept                3297
% 10.15/10.35  clauses forward subsumed    8458
% 10.15/10.35  clauses back subsumed         70
% 10.15/10.35  Kbytes malloced             4882
% 10.15/10.35  
% 10.15/10.35  ----------- times (seconds) -----------
% 10.15/10.35  user CPU time          8.24          (0 hr, 0 min, 8 sec)
% 10.15/10.35  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 10.15/10.35  wall-clock time       10             (0 hr, 0 min, 10 sec)
% 10.15/10.35  
% 10.15/10.35  That finishes the proof of the theorem.
% 10.15/10.35  
% 10.15/10.35  Process 943 finished Wed Jul 27 07:21:30 2022
% 10.15/10.35  Otter interrupted
% 10.15/10.35  PROOF FOUND
%------------------------------------------------------------------------------