TSTP Solution File: SYN689-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% 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 13:25:07 EDT 2022

% Result   : Unsatisfiable 1.99s 2.18s
% Output   : Refutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   26 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ~ p26(f17(c43),c35),
    file('SYN689-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( p27(f17(A))
    | ~ p27(A) ),
    file('SYN689-1.p',unknown),
    [] ).

cnf(18,axiom,
    ( p18(f19(f17(A)),f20(f19(A)))
    | ~ p27(A) ),
    file('SYN689-1.p',unknown),
    [] ).

cnf(24,axiom,
    ( p18(A,B)
    | ~ p18(C,A)
    | ~ p18(C,B) ),
    file('SYN689-1.p',unknown),
    [] ).

cnf(27,axiom,
    ( p26(A,B)
    | ~ p27(A)
    | ~ p27(B)
    | ~ p28(f19(A),f19(B)) ),
    file('SYN689-1.p',unknown),
    [] ).

cnf(30,axiom,
    ( p28(A,B)
    | ~ p18(C,B)
    | ~ p28(D,C)
    | ~ p18(D,A) ),
    file('SYN689-1.p',unknown),
    [] ).

cnf(41,axiom,
    p27(c43),
    file('SYN689-1.p',unknown),
    [] ).

cnf(42,axiom,
    p27(c35),
    file('SYN689-1.p',unknown),
    [] ).

cnf(48,axiom,
    p18(A,A),
    file('SYN689-1.p',unknown),
    [] ).

cnf(51,axiom,
    p28(f20(f19(c43)),f19(c35)),
    file('SYN689-1.p',unknown),
    [] ).

cnf(65,plain,
    p18(f19(f17(c43)),f20(f19(c43))),
    inference(hyper,[status(thm)],[41,18]),
    [iquote('hyper,41,18')] ).

cnf(66,plain,
    p27(f17(c43)),
    inference(hyper,[status(thm)],[41,6]),
    [iquote('hyper,41,6')] ).

cnf(97,plain,
    p18(f20(f19(c43)),f19(f17(c43))),
    inference(hyper,[status(thm)],[65,24,48]),
    [iquote('hyper,65,24,48')] ).

cnf(116,plain,
    p28(f19(f17(c43)),f19(c35)),
    inference(hyper,[status(thm)],[97,30,48,51]),
    [iquote('hyper,97,30,48,51')] ).

cnf(118,plain,
    p26(f17(c43),c35),
    inference(hyper,[status(thm)],[116,27,66,42]),
    [iquote('hyper,116,27,66,42')] ).

cnf(119,plain,
    $false,
    inference(binary,[status(thm)],[118,4]),
    [iquote('binary,118.1,4.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n013.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 11:22:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.99/2.18  ----- Otter 3.3f, August 2004 -----
% 1.99/2.18  The process was started by sandbox on n013.cluster.edu,
% 1.99/2.18  Wed Jul 27 11:22:30 2022
% 1.99/2.18  The command was "./otter".  The process ID is 15360.
% 1.99/2.18  
% 1.99/2.18  set(prolog_style_variables).
% 1.99/2.18  set(auto).
% 1.99/2.18     dependent: set(auto1).
% 1.99/2.18     dependent: set(process_input).
% 1.99/2.18     dependent: clear(print_kept).
% 1.99/2.18     dependent: clear(print_new_demod).
% 1.99/2.18     dependent: clear(print_back_demod).
% 1.99/2.18     dependent: clear(print_back_sub).
% 1.99/2.18     dependent: set(control_memory).
% 1.99/2.18     dependent: assign(max_mem, 12000).
% 1.99/2.18     dependent: assign(pick_given_ratio, 4).
% 1.99/2.18     dependent: assign(stats_level, 1).
% 1.99/2.18     dependent: assign(max_seconds, 10800).
% 1.99/2.18  clear(print_given).
% 1.99/2.18  
% 1.99/2.18  list(usable).
% 1.99/2.18  0 [] p27(c34).
% 1.99/2.18  0 [] p27(c43).
% 1.99/2.18  0 [] p27(c35).
% 1.99/2.18  0 [] -p23(c43).
% 1.99/2.18  0 [] p10(X0,X0).
% 1.99/2.18  0 [] p9(X81,X81).
% 1.99/2.18  0 [] p3(X74,X74).
% 1.99/2.18  0 [] p21(X39,X39).
% 1.99/2.18  0 [] p2(X26,X26).
% 1.99/2.18  0 [] p18(X18,X18).
% 1.99/2.18  0 [] p12(X11,X11).
% 1.99/2.18  0 [] p22(c41,c42).
% 1.99/2.18  0 [] -p24(c43,c46).
% 1.99/2.18  0 [] -p24(c43,c45).
% 1.99/2.18  0 [] -p26(f17(c43),c35).
% 1.99/2.18  0 [] -p25(f17(c43),c34).
% 1.99/2.18  0 [] p27(f17(X23))| -p27(X23).
% 1.99/2.18  0 [] p28(f20(f19(c43)),f19(c35)).
% 1.99/2.18  0 [] p3(f15(f16(c43,c36)),c44).
% 1.99/2.18  0 [] p23(X46)| -p23(X47)| -p10(X47,X46).
% 1.99/2.18  0 [] p27(X64)| -p27(X65)| -p10(X65,X64).
% 1.99/2.18  0 [] p3(f4(X79),f4(X80))| -p2(X79,X80).
% 1.99/2.18  0 [] p10(f11(X3),f11(X4))| -p9(X3,X4).
% 1.99/2.18  0 [] p10(f17(X9),f17(X10))| -p10(X9,X10).
% 1.99/2.18  0 [] p18(f19(X21),f19(X22))| -p10(X21,X22).
% 1.99/2.18  0 [] p18(f20(X24),f20(X25))| -p18(X24,X25).
% 1.99/2.18  0 [] p2(f5(X29),f5(X30))| -p2(X29,X30).
% 1.99/2.18  0 [] p2(f6(X31),f6(X32))| -p2(X31,X32).
% 1.99/2.18  0 [] p2(f7(X33),f7(X34))| -p2(X33,X34).
% 1.99/2.18  0 [] p3(f15(X77),f15(X78))| -p10(X77,X78).
% 1.99/2.18  0 [] p18(f19(f17(X23)),f20(f19(X23)))| -p27(X23).
% 1.99/2.18  0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.99/2.18  0 [] p9(X82,X83)| -p9(X81,X82)| -p9(X81,X83).
% 1.99/2.18  0 [] p3(X75,X76)| -p3(X74,X75)| -p3(X74,X76).
% 1.99/2.18  0 [] p21(X40,X41)| -p21(X39,X40)| -p21(X39,X41).
% 1.99/2.18  0 [] p2(X27,X28)| -p2(X26,X27)| -p2(X26,X28).
% 1.99/2.18  0 [] p18(X19,X20)| -p18(X18,X19)| -p18(X18,X20).
% 1.99/2.18  0 [] p12(X12,X13)| -p12(X11,X12)| -p12(X11,X13).
% 1.99/2.18  0 [] p3(c30,f4(f5(f6(f6(f6(f6(f6(f7(c31))))))))).
% 1.99/2.18  0 [] p25(X56,X57)| -p27(X56)| -p27(X57)| -p29(f19(X56),f19(X57)).
% 1.99/2.18  0 [] p26(X62,X63)| -p27(X62)| -p27(X63)| -p28(f19(X62),f19(X63)).
% 1.99/2.18  0 [] p22(X42,X43)| -p21(X45,X43)| -p22(X44,X45)| -p21(X44,X42).
% 1.99/2.18  0 [] p29(X70,X71)| -p18(X73,X71)| -p29(X72,X73)| -p18(X72,X70).
% 1.99/2.18  0 [] p28(X66,X67)| -p18(X69,X67)| -p28(X68,X69)| -p18(X68,X66).
% 1.99/2.18  0 [] p26(X58,X59)| -p10(X61,X59)| -p26(X60,X61)| -p10(X60,X58).
% 1.99/2.18  0 [] p25(X52,X53)| -p10(X55,X53)| -p25(X54,X55)| -p10(X54,X52).
% 1.99/2.18  0 [] p24(X48,X49)| -p10(X51,X49)| -p24(X50,X51)| -p10(X50,X48).
% 1.99/2.18  0 [] p29(f19(X56),f19(X57))| -p27(X57)| -p27(X56)| -p25(X56,X57).
% 1.99/2.18  0 [] p28(f19(X62),f19(X63))| -p27(X63)| -p27(X62)| -p26(X62,X63).
% 1.99/2.18  0 [] p9(f13(X84,X85),f13(X86,X87))| -p12(X85,X87)| -p2(X84,X86).
% 1.99/2.18  0 [] p10(f16(X5,X6),f16(X7,X8))| -p10(X5,X7)| -p10(X6,X8).
% 1.99/2.18  0 [] p12(f14(X14,X15),f14(X16,X17))| -p2(X14,X16)| -p2(X15,X17).
% 1.99/2.18  0 [] p2(f8(X35,X36),f8(X37,X38))| -p2(X36,X38)| -p2(X35,X37).
% 1.99/2.18  0 [] p3(c32,f4(f8(f5(f6(f7(c31))),f5(f7(f6(f6(f7(c31)))))))).
% 1.99/2.18  0 [] p10(c33,f11(f13(f5(c31),f14(f5(f7(f7(f7(f7(f7(f7(f7(c31)))))))),f5(c31))))).
% 1.99/2.18  0 [] p10(c35,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31))))).
% 1.99/2.18  0 [] p10(c39,f11(f13(f5(c31),f14(f5(f6(f7(f7(f7(f7(f7(f7(c31)))))))),f5(f6(f6(f7(f6(f6(f6(f7(c31)))))))))))).
% 1.99/2.18  0 [] p10(c40,f11(f13(f5(c31),f14(f5(f6(f6(f7(f7(f7(f7(f7(c31)))))))),f5(f6(f6(f7(f7(f6(f7(f7(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  0 [] p10(c37,f11(f13(f5(c31),f14(f5(f7(f6(f6(f7(f7(f7(f7(c31)))))))),f5(f6(f6(f6(f6(f6(f6(f6(f6(f6(f7(f6(f6(f7(f7(f7(f6(f7(f6(f6(f6(f7(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  0 [] p10(c38,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(f6(f7(f7(f7(f6(f6(f6(f7(f6(f7(f7(f7(f7(f7(f6(f7(f7(f7(f7(f7(f7(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  0 [] p10(c36,f11(f13(f5(c31),f14(f5(f6(f6(f7(f6(f6(f6(f6(f7(c31))))))))),f5(f7(f7(f6(f7(f7(f7(f6(f6(f6(f7(f6(f7(f6(f7(f6(f7(f6(f6(f6(f7(f7(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  0 [] p10(c34,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f6(f6(f7(c31))))))))),f5(f6(f7(f6(f7(f7(f7(f6(f7(f7(f7(f6(f7(f6(f7(f7(f6(f6(f6(f7(f7(f7(f6(f7(c31)))))))))))))))))))))))))))).
% 1.99/2.18  end_of_list.
% 1.99/2.18  
% 1.99/2.18  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.99/2.18  
% 1.99/2.18  This is a Horn set without equality.  The strategy will
% 1.99/2.18  be hyperresolution, with satellites in sos and nuclei
% 1.99/2.18  in usable.
% 1.99/2.18  
% 1.99/2.18     dependent: set(hyper_res).
% 1.99/2.18     dependent: clear(order_hyper).
% 1.99/2.18  
% 1.99/2.18  ------------> process usable:
% 1.99/2.18  ** KEPT (pick-wt=2): 1 [] -p23(c43).
% 1.99/2.18  ** KEPT (pick-wt=3): 2 [] -p24(c43,c46).
% 1.99/2.18  ** KEPT (pick-wt=3): 3 [] -p24(c43,c45).
% 1.99/2.18  ** KEPT (pick-wt=4): 4 [] -p26(f17(c43),c35).
% 1.99/2.18  ** KEPT (pick-wt=4): 5 [] -p25(f17(c43),c34).
% 1.99/2.18  ** KEPT (pick-wt=5): 6 [] p27(f17(A))| -p27(A).
% 1.99/2.18  ** KEPT (pick-wt=7): 7 [] p23(A)| -p23(B)| -p10(B,A).
% 1.99/2.18  ** KEPT (pick-wt=7): 8 [] p27(A)| -p27(B)| -p10(B,A).
% 1.99/2.18  ** KEPT (pick-wt=8): 9 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 10 [] p10(f11(A),f11(B))| -p9(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 11 [] p10(f17(A),f17(B))| -p10(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 12 [] p18(f19(A),f19(B))| -p10(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 13 [] p18(f20(A),f20(B))| -p18(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 14 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 15 [] p2(f6(A),f6(B))| -p2(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 16 [] p2(f7(A),f7(B))| -p2(A,B).
% 1.99/2.18  ** KEPT (pick-wt=8): 17 [] p3(f15(A),f15(B))| -p10(A,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 18 [] p18(f19(f17(A)),f20(f19(A)))| -p27(A).
% 1.99/2.18  ** KEPT (pick-wt=9): 19 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 20 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 21 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 22 [] p21(A,B)| -p21(C,A)| -p21(C,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 23 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 24 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 1.99/2.18  ** KEPT (pick-wt=9): 25 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 1.99/2.18  ** KEPT (pick-wt=12): 26 [] p25(A,B)| -p27(A)| -p27(B)| -p29(f19(A),f19(B)).
% 1.99/2.18  ** KEPT (pick-wt=12): 27 [] p26(A,B)| -p27(A)| -p27(B)| -p28(f19(A),f19(B)).
% 1.99/2.18  ** KEPT (pick-wt=12): 28 [] p22(A,B)| -p21(C,B)| -p22(D,C)| -p21(D,A).
% 1.99/2.18  ** KEPT (pick-wt=12): 29 [] p29(A,B)| -p18(C,B)| -p29(D,C)| -p18(D,A).
% 1.99/2.18  ** KEPT (pick-wt=12): 30 [] p28(A,B)| -p18(C,B)| -p28(D,C)| -p18(D,A).
% 1.99/2.18  ** KEPT (pick-wt=12): 31 [] p26(A,B)| -p10(C,B)| -p26(D,C)| -p10(D,A).
% 1.99/2.18  ** KEPT (pick-wt=12): 32 [] p25(A,B)| -p10(C,B)| -p25(D,C)| -p10(D,A).
% 1.99/2.18  ** KEPT (pick-wt=12): 33 [] p24(A,B)| -p10(C,B)| -p24(D,C)| -p10(D,A).
% 1.99/2.18  ** KEPT (pick-wt=12): 34 [] p29(f19(A),f19(B))| -p27(B)| -p27(A)| -p25(A,B).
% 1.99/2.18  ** KEPT (pick-wt=12): 35 [] p28(f19(A),f19(B))| -p27(B)| -p27(A)| -p26(A,B).
% 1.99/2.18  ** KEPT (pick-wt=13): 36 [] p9(f13(A,B),f13(C,D))| -p12(B,D)| -p2(A,C).
% 1.99/2.18  ** KEPT (pick-wt=13): 37 [] p10(f16(A,B),f16(C,D))| -p10(A,C)| -p10(B,D).
% 1.99/2.18  ** KEPT (pick-wt=13): 38 [] p12(f14(A,B),f14(C,D))| -p2(A,C)| -p2(B,D).
% 1.99/2.18  ** KEPT (pick-wt=13): 39 [] p2(f8(A,B),f8(C,D))| -p2(B,D)| -p2(A,C).
% 1.99/2.18  
% 1.99/2.18  ------------> process sos:
% 1.99/2.18  ** KEPT (pick-wt=2): 40 [] p27(c34).
% 1.99/2.18  ** KEPT (pick-wt=2): 41 [] p27(c43).
% 1.99/2.18  ** KEPT (pick-wt=2): 42 [] p27(c35).
% 1.99/2.18  ** KEPT (pick-wt=3): 43 [] p10(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 44 [] p9(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 45 [] p3(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 46 [] p21(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 47 [] p2(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 48 [] p18(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 49 [] p12(A,A).
% 1.99/2.18  ** KEPT (pick-wt=3): 50 [] p22(c41,c42).
% 1.99/2.18  ** KEPT (pick-wt=6): 51 [] p28(f20(f19(c43)),f19(c35)).
% 1.99/2.18  ** KEPT (pick-wt=6): 52 [] p3(f15(f16(c43,c36)),c44).
% 1.99/2.18  ** KEPT (pick-wt=11): 53 [] p3(c30,f4(f5(f6(f6(f6(f6(f6(f7(c31))))))))).
% 1.99/2.18  ** KEPT (pick-wt=14): 54 [] p3(c32,f4(f8(f5(f6(f7(c31))),f5(f7(f6(f6(f7(c31)))))))).
% 1.99/2.18  ** KEPT (pick-wt=18): 55 [] p10(c33,f11(f13(f5(c31),f14(f5(f7(f7(f7(f7(f7(f7(f7(c31)))))))),f5(c31))))).
% 1.99/2.18  ** KEPT (pick-wt=18): 56 [] p10(c35,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(c31))))).
% 1.99/2.18  ** KEPT (pick-wt=25): 57 [] p10(c39,f11(f13(f5(c31),f14(f5(f6(f7(f7(f7(f7(f7(f7(c31)))))))),f5(f6(f6(f7(f6(f6(f6(f7(c31)))))))))))).
% 1.99/2.18  ** KEPT (pick-wt=40): 58 [] p10(c40,f11(f13(f5(c31),f14(f5(f6(f6(f7(f7(f7(f7(f7(c31)))))))),f5(f6(f6(f7(f7(f6(f7(f7(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  ** KEPT (pick-wt=40): 59 [] p10(c37,f11(f13(f5(c31),f14(f5(f7(f6(f6(f7(f7(f7(f7(c31)))))))),f5(f6(f6(f6(f6(f6(f6(f6(f6(f6(f7(f6(f6(f7(f7(f7(f6(f7(f6(f6(f6(f7(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  ** KEPT (pick-wt=40): 60 [] p10(c38,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f7(f7(c31)))))))),f5(f6(f7(f7(f7(f6(f6(f6(f7(f6(f7(f7(f7(f7(f7(f6(f7(f7(f7(f7(f7(f7(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  ** KEPT (pick-wt=41): 61 [] p10(c36,f11(f13(f5(c31),f14(f5(f6(f6(f7(f6(f6(f6(f6(f7(c31))))))))),f5(f7(f7(f6(f7(f7(f7(f6(f6(f6(f7(f6(f7(f6(f7(f6(f7(f6(f6(f6(f7(f7(f7(c31))))))))))))))))))))))))))).
% 1.99/2.18  ** KEPT (pick-wt=42): 62 [] p10(c34,f11(f13(f5(c31),f14(f5(f6(f7(f7(f6(f6(f6(f6(f7(c31))))))))),f5(f6(f7(f6(f7(f7(f7(f6(f7(f7(f7(f6(f7(f6(f7(f7(f6(f6(f6(f7(f7(f7(f6(f7(c31)))))))))))))))))))))))))))).
% 1.99/2.18  
% 1.99/2.18  ======= end of input processing =======
% 1.99/2.18  
% 1.99/2.18  =========== start of search ===========
% 1.99/2.18  
% 1.99/2.18  -------- PROOF -------- 
% 1.99/2.18  
% 1.99/2.18  ----> UNIT CONFLICT at   0.01 sec ----> 119 [binary,118.1,4.1] $F.
% 1.99/2.18  
% 1.99/2.18  Length of proof is 5.  Level of proof is 4.
% 1.99/2.18  
% 1.99/2.18  ---------------- PROOF ----------------
% 1.99/2.18  % SZS status Unsatisfiable
% 1.99/2.18  % SZS output start Refutation
% See solution above
% 1.99/2.18  ------------ end of proof -------------
% 1.99/2.18  
% 1.99/2.18  
% 1.99/2.18  Search stopped by max_proofs option.
% 1.99/2.18  
% 1.99/2.18  
% 1.99/2.18  Search stopped by max_proofs option.
% 1.99/2.18  
% 1.99/2.18  ============ end of search ============
% 1.99/2.18  
% 1.99/2.18  -------------- statistics -------------
% 1.99/2.18  clauses given                 38
% 1.99/2.18  clauses generated            142
% 1.99/2.18  clauses kept                 118
% 1.99/2.18  clauses forward subsumed      86
% 1.99/2.18  clauses back subsumed          0
% 1.99/2.18  Kbytes malloced             1953
% 1.99/2.18  
% 1.99/2.18  ----------- times (seconds) -----------
% 1.99/2.18  user CPU time          0.01          (0 hr, 0 min, 0 sec)
% 1.99/2.18  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.99/2.18  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.99/2.18  
% 1.99/2.18  That finishes the proof of the theorem.
% 1.99/2.18  
% 1.99/2.18  Process 15360 finished Wed Jul 27 11:22:31 2022
% 1.99/2.18  Otter interrupted
% 1.99/2.18  PROOF FOUND
%------------------------------------------------------------------------------