TSTP Solution File: SYN645-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN645-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n016.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 13:25:03 EDT 2022

% Result   : Unsatisfiable 2.22s 2.42s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   17 (  11 unt;   3 nHn;  12 RR)
%            Number of literals    :   34 (   0 equ;  14 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-5 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( p12(A,B)
    | ~ p12(C,A)
    | ~ p12(C,B) ),
    file('SYN645-1.p',unknown),
    [] ).

cnf(14,axiom,
    ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
    file('SYN645-1.p',unknown),
    [] ).

cnf(15,axiom,
    ( p25(A,B)
    | ~ p12(C,B)
    | ~ p25(D,C)
    | ~ p12(D,A) ),
    file('SYN645-1.p',unknown),
    [] ).

cnf(24,axiom,
    ~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
    file('SYN645-1.p',unknown),
    [] ).

cnf(28,axiom,
    ( p25(f13(f14(A,f16(f10(B,f11(C,D)),c32,A))),f13(f14(A,E)))
    | ~ p22(f3(f4(f5(c26))),C)
    | ~ p23(E,f8(f10(B,f11(C,D)))) ),
    file('SYN645-1.p',unknown),
    [] ).

cnf(32,axiom,
    ( p12(A,f16(f10(B,f11(C,D)),c32,E))
    | p23(f21(B,C,D,E,A),f8(f10(B,f11(C,D))))
    | p24(f17(f10(B,f11(C,D)),f16(f10(B,f11(C,D)),c32,E)))
    | ~ p22(f3(f4(f5(c26))),C)
    | ~ p23(A,f8(f10(B,f11(C,D)))) ),
    file('SYN645-1.p',unknown),
    [] ).

cnf(33,axiom,
    ( p12(A,f16(f10(B,f11(C,D)),c32,E))
    | p24(f17(f10(B,f11(C,D)),f16(f10(B,f11(C,D)),c32,E)))
    | ~ p22(f3(f4(f5(c26))),C)
    | ~ p23(A,f8(f10(B,f11(C,D))))
    | ~ p25(f13(f14(E,A)),f13(f14(E,f21(B,C,D,E,A)))) ),
    file('SYN645-1.p',unknown),
    [] ).

cnf(54,axiom,
    p12(A,A),
    file('SYN645-1.p',unknown),
    [] ).

cnf(60,axiom,
    p22(f3(f4(f5(c26))),c27),
    file('SYN645-1.p',unknown),
    [] ).

cnf(61,axiom,
    p23(c28,f8(f10(c29,f11(c27,c30)))),
    file('SYN645-1.p',unknown),
    [] ).

cnf(62,axiom,
    p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
    file('SYN645-1.p',unknown),
    [] ).

cnf(65,plain,
    ( p12(c28,f16(f10(c29,f11(c27,c30)),c32,A))
    | p23(f21(c29,c27,c30,A,c28),f8(f10(c29,f11(c27,c30))))
    | p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,A))) ),
    inference(hyper,[status(thm)],[61,32,60]),
    [iquote('hyper,61,32,60')] ).

cnf(93,plain,
    p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
    inference(hyper,[status(thm)],[62,8,54]),
    [iquote('hyper,62,8,54')] ).

cnf(138,plain,
    p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[65,24]),14]),
    [iquote('hyper,65,24,unit_del,14')] ).

cnf(140,plain,
    p25(f13(f14(A,f16(f10(c29,f11(c27,c30)),c32,A))),f13(f14(A,f21(c29,c27,c30,c31,c28)))),
    inference(hyper,[status(thm)],[138,28,60]),
    [iquote('hyper,138,28,60')] ).

cnf(1805,plain,
    p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
    inference(hyper,[status(thm)],[140,15,54,93]),
    [iquote('hyper,140,15,54,93')] ).

cnf(1806,plain,
    $false,
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1805,33,60,61]),14,24]),
    [iquote('hyper,1805,33,60,61,unit_del,14,24')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN645-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n016.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 11:34:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.73/1.96  ----- Otter 3.3f, August 2004 -----
% 1.73/1.96  The process was started by sandbox2 on n016.cluster.edu,
% 1.73/1.96  Wed Jul 27 11:34:07 2022
% 1.73/1.96  The command was "./otter".  The process ID is 20893.
% 1.73/1.96  
% 1.73/1.96  set(prolog_style_variables).
% 1.73/1.96  set(auto).
% 1.73/1.96     dependent: set(auto1).
% 1.73/1.96     dependent: set(process_input).
% 1.73/1.96     dependent: clear(print_kept).
% 1.73/1.96     dependent: clear(print_new_demod).
% 1.73/1.96     dependent: clear(print_back_demod).
% 1.73/1.96     dependent: clear(print_back_sub).
% 1.73/1.96     dependent: set(control_memory).
% 1.73/1.96     dependent: assign(max_mem, 12000).
% 1.73/1.96     dependent: assign(pick_given_ratio, 4).
% 1.73/1.96     dependent: assign(stats_level, 1).
% 1.73/1.96     dependent: assign(max_seconds, 10800).
% 1.73/1.96  clear(print_given).
% 1.73/1.96  
% 1.73/1.96  list(usable).
% 1.73/1.96  0 [] p12(X0,X0).
% 1.73/1.96  0 [] p9(X82,X82).
% 1.73/1.96  0 [] p7(X77,X77).
% 1.73/1.96  0 [] p6(X70,X70).
% 1.73/1.96  0 [] p2(X43,X43).
% 1.73/1.96  0 [] p15(X40,X40).
% 1.73/1.96  0 [] p22(f3(f4(f5(c26))),c27).
% 1.73/1.96  0 [] p24(X64)| -p24(X65)| -p2(X65,X64).
% 1.73/1.96  0 [] p23(c28,f8(f10(c29,f11(c27,c30)))).
% 1.73/1.96  0 [] p7(f8(X80),f8(X81))| -p6(X80,X81).
% 1.73/1.96  0 [] p12(f13(X8),f13(X9))| -p12(X8,X9).
% 1.73/1.96  0 [] p12(f19(X24),f19(X25))| -p2(X24,X25).
% 1.73/1.96  0 [] p2(f3(X50),f3(X51))| -p2(X50,X51).
% 1.73/1.96  0 [] p2(f4(X52),f4(X53))| -p2(X52,X53).
% 1.73/1.96  0 [] p2(f5(X54),f5(X55))| -p2(X54,X55).
% 1.73/1.96  0 [] p12(X1,X2)| -p12(X0,X1)| -p12(X0,X2).
% 1.73/1.96  0 [] p9(X83,X84)| -p9(X82,X83)| -p9(X82,X84).
% 1.73/1.96  0 [] p7(X78,X79)| -p7(X77,X78)| -p7(X77,X79).
% 1.73/1.96  0 [] p6(X71,X72)| -p6(X70,X71)| -p6(X70,X72).
% 1.73/1.96  0 [] p2(X44,X45)| -p2(X43,X44)| -p2(X43,X45).
% 1.73/1.96  0 [] p15(X41,X42)| -p15(X40,X41)| -p15(X40,X42).
% 1.73/1.96  0 [] -p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)).
% 1.73/1.96  0 [] p25(X66,X67)| -p12(X69,X67)| -p25(X68,X69)| -p12(X68,X66).
% 1.73/1.96  0 [] p22(X56,X57)| -p2(X59,X57)| -p22(X58,X59)| -p2(X58,X56).
% 1.73/1.96  0 [] p23(X60,X61)| -p23(X62,X63)| -p7(X63,X61)| -p12(X62,X60).
% 1.73/1.96  0 [] p12(f14(X10,X11),f14(X12,X13))| -p12(X10,X12)| -p12(X11,X13).
% 1.73/1.96  0 [] p9(f11(X85,X86),f11(X87,X88))| -p2(X85,X87)| -p2(X86,X88).
% 1.73/1.96  0 [] p6(f10(X73,X74),f10(X75,X76))| -p2(X73,X75)| -p9(X74,X76).
% 1.73/1.96  0 [] p2(f17(X46,X47),f17(X48,X49))| -p12(X47,X49)| -p6(X46,X48).
% 1.73/1.96  0 [] p12(f20(X26,X27),f20(X28,X29))| -p12(X27,X29)| -p6(X26,X28).
% 1.73/1.96  0 [] p12(f18(X20,X21),f18(X22,X23))| -p12(X20,X22)| -p12(X21,X23).
% 1.73/1.96  0 [] -p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))).
% 1.73/1.96  0 [] p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))).
% 1.73/1.96  0 [] p12(f16(X14,X15,X16),f16(X17,X18,X19))| -p15(X15,X18)| -p6(X14,X17)| -p12(X16,X19).
% 1.73/1.96  0 [] p23(f16(f10(X4,f11(X5,X6)),c32,X7),f8(f10(X4,f11(X5,X6))))| -p22(f3(f4(f5(c26))),X5).
% 1.73/1.96  0 [] p12(f21(X30,X31,X32,X33,X34),f21(X35,X36,X37,X38,X39))| -p2(X31,X36)| -p2(X32,X37)| -p12(X33,X38)| -p12(X34,X39)| -p2(X30,X35).
% 1.73/1.96  0 [] p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3)))| -p22(f3(f4(f5(c26))),X5)| -p23(X3,f8(f10(X4,f11(X5,X6)))).
% 1.73/1.96  0 [] p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f18(f20(f10(X4,f11(X5,X6)),X7),f19(f3(f4(f5(c26))))))| -p22(f3(f4(f5(c26))),X5).
% 1.73/1.96  0 [] p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))|p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))| -p22(f3(f4(f5(c26))),X5)| -p24(f17(f10(X4,f11(X5,X6)),X3))| -p23(X3,f8(f10(X4,f11(X5,X6)))).
% 1.73/1.96  0 [] p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))| -p22(f3(f4(f5(c26))),X5)| -p24(f17(f10(X4,f11(X5,X6)),X3))| -p23(X3,f8(f10(X4,f11(X5,X6))))| -p25(f13(f14(X7,X3)),f13(f14(X7,f21(X4,X5,X6,X7,X3)))).
% 1.73/1.96  0 [] p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))|p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))|p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))| -p22(f3(f4(f5(c26))),X5)| -p23(X3,f8(f10(X4,f11(X5,X6)))).
% 1.73/1.96  0 [] p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))|p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))| -p22(f3(f4(f5(c26))),X5)| -p23(X3,f8(f10(X4,f11(X5,X6))))| -p25(f13(f14(X7,X3)),f13(f14(X7,f21(X4,X5,X6,X7,X3)))).
% 1.73/1.96  end_of_list.
% 1.73/1.96  
% 1.73/1.96  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.73/1.96  
% 1.73/1.96  This is a non-Horn set without equality.  The strategy will
% 1.73/1.96  be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.96  satellites in sos and with nuclei in usable.
% 1.73/1.96  
% 1.73/1.96     dependent: set(hyper_res).
% 1.73/1.96     dependent: set(factor).
% 1.73/1.96     dependent: set(unit_deletion).
% 1.73/1.96  
% 1.73/1.96  ------------> process usable:
% 1.73/1.96  ** KEPT (pick-wt=7): 1 [] p24(A)| -p24(B)| -p2(B,A).
% 1.73/1.96  ** KEPT (pick-wt=8): 2 [] p7(f8(A),f8(B))| -p6(A,B).
% 1.73/1.96  ** KEPT (pick-wt=8): 3 [] p12(f13(A),f13(B))| -p12(A,B).
% 1.73/1.96  ** KEPT (pick-wt=8): 4 [] p12(f19(A),f19(B))| -p2(A,B).
% 2.22/2.42  ** KEPT (pick-wt=8): 5 [] p2(f3(A),f3(B))| -p2(A,B).
% 2.22/2.42  ** KEPT (pick-wt=8): 6 [] p2(f4(A),f4(B))| -p2(A,B).
% 2.22/2.42  ** KEPT (pick-wt=8): 7 [] p2(f5(A),f5(B))| -p2(A,B).
% 2.22/2.42  ** KEPT (pick-wt=9): 8 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 2.22/2.42  ** KEPT (pick-wt=9): 9 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 2.22/2.42  ** KEPT (pick-wt=9): 10 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 2.22/2.42  ** KEPT (pick-wt=9): 11 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 2.22/2.42  ** KEPT (pick-wt=9): 12 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.22/2.42  ** KEPT (pick-wt=9): 13 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 2.22/2.42  ** KEPT (pick-wt=10): 14 [] -p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)).
% 2.22/2.42  ** KEPT (pick-wt=12): 15 [] p25(A,B)| -p12(C,B)| -p25(D,C)| -p12(D,A).
% 2.22/2.42  ** KEPT (pick-wt=12): 16 [] p22(A,B)| -p2(C,B)| -p22(D,C)| -p2(D,A).
% 2.22/2.42  ** KEPT (pick-wt=12): 17 [] p23(A,B)| -p23(C,D)| -p7(D,B)| -p12(C,A).
% 2.22/2.42  ** KEPT (pick-wt=13): 18 [] p12(f14(A,B),f14(C,D))| -p12(A,C)| -p12(B,D).
% 2.22/2.42  ** KEPT (pick-wt=13): 19 [] p9(f11(A,B),f11(C,D))| -p2(A,C)| -p2(B,D).
% 2.22/2.42  ** KEPT (pick-wt=13): 20 [] p6(f10(A,B),f10(C,D))| -p2(A,C)| -p9(B,D).
% 2.22/2.42  ** KEPT (pick-wt=13): 21 [] p2(f17(A,B),f17(C,D))| -p12(B,D)| -p6(A,C).
% 2.22/2.42  ** KEPT (pick-wt=13): 22 [] p12(f20(A,B),f20(C,D))| -p12(B,D)| -p6(A,C).
% 2.22/2.42  ** KEPT (pick-wt=13): 23 [] p12(f18(A,B),f18(C,D))| -p12(A,C)| -p12(B,D).
% 2.22/2.42  ** KEPT (pick-wt=15): 24 [] -p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))).
% 2.22/2.42  ** KEPT (pick-wt=18): 25 [] p12(f16(A,B,C),f16(D,E,F))| -p15(B,E)| -p6(A,D)| -p12(C,F).
% 2.22/2.42  ** KEPT (pick-wt=21): 26 [] p23(f16(f10(A,f11(B,C)),c32,D),f8(f10(A,f11(B,C))))| -p22(f3(f4(f5(c26))),B).
% 2.22/2.42  ** KEPT (pick-wt=28): 27 [] p12(f21(A,B,C,D,E),f21(F,G,H,I,J))| -p2(B,G)| -p2(C,H)| -p12(D,I)| -p12(E,J)| -p2(A,F).
% 2.22/2.42  ** KEPT (pick-wt=30): 28 [] p25(f13(f14(A,f16(f10(B,f11(C,D)),c32,A))),f13(f14(A,E)))| -p22(f3(f4(f5(c26))),C)| -p23(E,f8(f10(B,f11(C,D)))).
% 2.22/2.42  ** KEPT (pick-wt=31): 29 [] p25(f13(f14(A,f16(f10(B,f11(C,D)),c32,A))),f18(f20(f10(B,f11(C,D)),A),f19(f3(f4(f5(c26))))))| -p22(f3(f4(f5(c26))),C).
% 2.22/2.42  ** KEPT (pick-wt=45): 30 [] p12(A,f16(f10(B,f11(C,D)),c32,E))|p23(f21(B,C,D,E,A),f8(f10(B,f11(C,D))))| -p22(f3(f4(f5(c26))),C)| -p24(f17(f10(B,f11(C,D)),A))| -p23(A,f8(f10(B,f11(C,D)))).
% 2.22/2.42  ** KEPT (pick-wt=46): 31 [] p12(A,f16(f10(B,f11(C,D)),c32,E))| -p22(f3(f4(f5(c26))),C)| -p24(f17(f10(B,f11(C,D)),A))| -p23(A,f8(f10(B,f11(C,D))))| -p25(f13(f14(E,A)),f13(f14(E,f21(B,C,D,E,A)))).
% 2.22/2.42  ** KEPT (pick-wt=52): 32 [] p12(A,f16(f10(B,f11(C,D)),c32,E))|p23(f21(B,C,D,E,A),f8(f10(B,f11(C,D))))|p24(f17(f10(B,f11(C,D)),f16(f10(B,f11(C,D)),c32,E)))| -p22(f3(f4(f5(c26))),C)| -p23(A,f8(f10(B,f11(C,D)))).
% 2.22/2.42  ** KEPT (pick-wt=53): 33 [] p12(A,f16(f10(B,f11(C,D)),c32,E))|p24(f17(f10(B,f11(C,D)),f16(f10(B,f11(C,D)),c32,E)))| -p22(f3(f4(f5(c26))),C)| -p23(A,f8(f10(B,f11(C,D))))| -p25(f13(f14(E,A)),f13(f14(E,f21(B,C,D,E,A)))).
% 2.22/2.42  
% 2.22/2.42  ------------> process sos:
% 2.22/2.42  ** KEPT (pick-wt=3): 54 [] p12(A,A).
% 2.22/2.42  ** KEPT (pick-wt=3): 55 [] p9(A,A).
% 2.22/2.42  ** KEPT (pick-wt=3): 56 [] p7(A,A).
% 2.22/2.42  ** KEPT (pick-wt=3): 57 [] p6(A,A).
% 2.22/2.42  ** KEPT (pick-wt=3): 58 [] p2(A,A).
% 2.22/2.42  ** KEPT (pick-wt=3): 59 [] p15(A,A).
% 2.22/2.42  ** KEPT (pick-wt=6): 60 [] p22(f3(f4(f5(c26))),c27).
% 2.22/2.42  ** KEPT (pick-wt=8): 61 [] p23(c28,f8(f10(c29,f11(c27,c30)))).
% 2.22/2.42  ** KEPT (pick-wt=16): 62 [] p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))).
% 2.22/2.42  54 back subsumes 34.
% 2.22/2.42  55 back subsumes 35.
% 2.22/2.42  56 back subsumes 36.
% 2.22/2.42  57 back subsumes 37.
% 2.22/2.42  58 back subsumes 38.
% 2.22/2.42  59 back subsumes 39.
% 2.22/2.42  
% 2.22/2.42  ======= end of input processing =======
% 2.22/2.42  
% 2.22/2.42  =========== start of search ===========
% 2.22/2.42  
% 2.22/2.42  
% 2.22/2.42  Resetting weight limit to 24.
% 2.22/2.42  
% 2.22/2.42  
% 2.22/2.42  Resetting weight limit to 24.
% 2.22/2.42  
% 2.22/2.42  sos_size=672
% 2.22/2.42  
% 2.22/2.42  -------- PROOF -------- 
% 2.22/2.42  
% 2.22/2.42  -----> EMPTY CLAUSE at   0.46 sec ----> 1806 [hyper,1805,33,60,61,unit_del,14,24] $F.
% 2.22/2.42  
% 2.22/2.42  Length of proof is 5.  Level of proof is 4.
% 2.22/2.42  
% 2.22/2.42  ---------------- PROOF ----------------
% 2.22/2.42  % SZS status Unsatisfiable
% 2.22/2.42  % SZS output start Refutation
% See solution above
% 2.22/2.42  ------------ end of proof -------------
% 2.22/2.42  
% 2.22/2.42  
% 2.22/2.42  Search stopped by max_proofs option.
% 2.22/2.42  
% 2.22/2.42  
% 2.22/2.42  Search stopped by max_proofs option.
% 2.22/2.42  
% 2.22/2.42  ============ end of search ============
% 2.22/2.42  
% 2.22/2.42  -------------- statistics -------------
% 2.22/2.42  clauses given                 42
% 2.22/2.42  clauses generated          28535
% 2.22/2.42  clauses kept                1805
% 2.22/2.42  clauses forward subsumed     881
% 2.22/2.42  clauses back subsumed        989
% 2.22/2.42  Kbytes malloced             6835
% 2.22/2.42  
% 2.22/2.42  ----------- times (seconds) -----------
% 2.22/2.42  user CPU time          0.46          (0 hr, 0 min, 0 sec)
% 2.22/2.42  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.22/2.42  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.22/2.42  
% 2.22/2.42  That finishes the proof of the theorem.
% 2.22/2.42  
% 2.22/2.42  Process 20893 finished Wed Jul 27 11:34:09 2022
% 2.22/2.42  Otter interrupted
% 2.22/2.42  PROOF FOUND
%------------------------------------------------------------------------------