TSTP Solution File: SYN719-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN719-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n028.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 13:25:10 EDT 2022

% Result   : Unsatisfiable 1.89s 2.10s
% Output   : Refutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;   8 RR)
%            Number of literals    :   20 (   0 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  15 con; 0-2 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ p68(f19(f21(c83,c77),c79),c81),
    file('SYN719-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( p69(f36(c86,A),B)
    | ~ p70(B,A) ),
    file('SYN719-1.p',unknown),
    [] ).

cnf(45,axiom,
    ( p14(A,B)
    | ~ p14(C,A)
    | ~ p14(C,B) ),
    file('SYN719-1.p',unknown),
    [] ).

cnf(81,axiom,
    ( p68(f19(f21(c83,c77),A),B)
    | ~ p67(f16(c80,C),c82)
    | ~ p66(f12(c78,c77),A)
    | ~ p14(B,f23(f26(c84,D),C))
    | ~ p69(f36(c86,f38(D,f40(f42(f44(f46(c87,A),B),D),C))),f30(c88,f32(c89,f8(c75,c76)))) ),
    file('SYN719-1.p',unknown),
    [] ).

cnf(119,axiom,
    p14(A,A),
    file('SYN719-1.p',unknown),
    [] ).

cnf(122,axiom,
    p66(f12(c78,c77),c79),
    file('SYN719-1.p',unknown),
    [] ).

cnf(123,axiom,
    p67(f16(c80,c81),c82),
    file('SYN719-1.p',unknown),
    [] ).

cnf(124,axiom,
    p70(f30(c88,A),f38(c85,B)),
    file('SYN719-1.p',unknown),
    [] ).

cnf(126,axiom,
    p14(f23(f26(c84,c85),A),A),
    file('SYN719-1.p',unknown),
    [] ).

cnf(128,plain,
    p69(f36(c86,f38(c85,A)),f30(c88,B)),
    inference(hyper,[status(thm)],[124,7]),
    [iquote('hyper,124,7')] ).

cnf(133,plain,
    p14(A,f23(f26(c84,c85),A)),
    inference(hyper,[status(thm)],[126,45,119]),
    [iquote('hyper,126,45,119')] ).

cnf(143,plain,
    p68(f19(f21(c83,c77),c79),c81),
    inference(hyper,[status(thm)],[128,81,123,122,133]),
    [iquote('hyper,128,81,123,122,133')] ).

cnf(144,plain,
    $false,
    inference(binary,[status(thm)],[143,1]),
    [iquote('binary,143.1,1.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN719-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 11:12:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.89/2.10  ----- Otter 3.3f, August 2004 -----
% 1.89/2.10  The process was started by sandbox on n028.cluster.edu,
% 1.89/2.10  Wed Jul 27 11:12:49 2022
% 1.89/2.10  The command was "./otter".  The process ID is 6279.
% 1.89/2.10  
% 1.89/2.10  set(prolog_style_variables).
% 1.89/2.10  set(auto).
% 1.89/2.10     dependent: set(auto1).
% 1.89/2.10     dependent: set(process_input).
% 1.89/2.10     dependent: clear(print_kept).
% 1.89/2.10     dependent: clear(print_new_demod).
% 1.89/2.10     dependent: clear(print_back_demod).
% 1.89/2.10     dependent: clear(print_back_sub).
% 1.89/2.10     dependent: set(control_memory).
% 1.89/2.10     dependent: assign(max_mem, 12000).
% 1.89/2.10     dependent: assign(pick_given_ratio, 4).
% 1.89/2.10     dependent: assign(stats_level, 1).
% 1.89/2.10     dependent: assign(max_seconds, 10800).
% 1.89/2.10  clear(print_given).
% 1.89/2.10  
% 1.89/2.10  list(usable).
% 1.89/2.10  0 [] p10(X0,X0).
% 1.89/2.10  0 [] p9(X261,X261).
% 1.89/2.10  0 [] p7(X231,X231).
% 1.89/2.10  0 [] p63(X200,X200).
% 1.89/2.10  0 [] p61(X197,X197).
% 1.89/2.10  0 [] p6(X194,X194).
% 1.89/2.10  0 [] p59(X187,X187).
% 1.89/2.10  0 [] p57(X180,X180).
% 1.89/2.10  0 [] p56(X173,X173).
% 1.89/2.10  0 [] p55(X170,X170).
% 1.89/2.10  0 [] p53(X163,X163).
% 1.89/2.10  0 [] p52(X160,X160).
% 1.89/2.10  0 [] p50(X157,X157).
% 1.89/2.10  0 [] p48(X154,X154).
% 1.89/2.10  0 [] p47(X147,X147).
% 1.89/2.10  0 [] p45(X144,X144).
% 1.89/2.10  0 [] p43(X137,X137).
% 1.89/2.10  0 [] p41(X130,X130).
% 1.89/2.10  0 [] p4(X123,X123).
% 1.89/2.10  0 [] p39(X116,X116).
% 1.89/2.10  0 [] p37(X105,X105).
% 1.89/2.10  0 [] p35(X98,X98).
% 1.89/2.10  0 [] p34(X87,X87).
% 1.89/2.10  0 [] p33(X84,X84).
% 1.89/2.10  0 [] p31(X81,X81).
% 1.89/2.10  0 [] p3(X74,X74).
% 1.89/2.10  0 [] p29(X67,X67).
% 1.89/2.10  0 [] p28(X60,X60).
% 1.89/2.10  0 [] p27(X57,X57).
% 1.89/2.10  0 [] p25(X54,X54).
% 1.89/2.10  0 [] p24(X51,X51).
% 1.89/2.10  0 [] p22(X44,X44).
% 1.89/2.10  0 [] p20(X41,X41).
% 1.89/2.10  0 [] p2(X38,X38).
% 1.89/2.10  0 [] p18(X35,X35).
% 1.89/2.10  0 [] p17(X28,X28).
% 1.89/2.10  0 [] p15(X21,X21).
% 1.89/2.10  0 [] p14(X13,X13).
% 1.89/2.10  0 [] p13(X10,X10).
% 1.89/2.10  0 [] p11(X3,X3).
% 1.89/2.10  0 [] p66(f12(c78,c77),c79).
% 1.89/2.10  0 [] p67(f16(c80,c81),c82).
% 1.89/2.10  0 [] p70(f30(c88,X242),f38(c85,X243)).
% 1.89/2.10  0 [] p65(f5(c74,f8(c75,c76)),c77).
% 1.89/2.10  0 [] p14(f23(f26(c84,c85),X20),X20).
% 1.89/2.10  0 [] -p68(f19(f21(c83,c77),c79),c81).
% 1.89/2.10  0 [] p73(X256,X255)| -p72(f58(c90,X255),X256).
% 1.89/2.10  0 [] p68(X216,X215)| -p67(f16(c80,X215),X216).
% 1.89/2.10  0 [] p70(X230,X229)| -p69(f36(c86,X229),X230).
% 1.89/2.10  0 [] p67(f16(c80,X215),X216)| -p68(X216,X215).
% 1.89/2.10  0 [] p72(f58(c90,X255),X256)| -p73(X256,X255).
% 1.89/2.10  0 [] p69(f36(c86,X229),X230)| -p70(X230,X229).
% 1.89/2.10  0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.89/2.10  0 [] p9(X262,X263)| -p9(X261,X262)| -p9(X261,X263).
% 1.89/2.10  0 [] p7(X232,X233)| -p7(X231,X232)| -p7(X231,X233).
% 1.89/2.10  0 [] p63(X201,X202)| -p63(X200,X201)| -p63(X200,X202).
% 1.89/2.10  0 [] p61(X198,X199)| -p61(X197,X198)| -p61(X197,X199).
% 1.89/2.10  0 [] p6(X195,X196)| -p6(X194,X195)| -p6(X194,X196).
% 1.89/2.10  0 [] p59(X188,X189)| -p59(X187,X188)| -p59(X187,X189).
% 1.89/2.10  0 [] p57(X181,X182)| -p57(X180,X181)| -p57(X180,X182).
% 1.89/2.10  0 [] p56(X174,X175)| -p56(X173,X174)| -p56(X173,X175).
% 1.89/2.10  0 [] p55(X171,X172)| -p55(X170,X171)| -p55(X170,X172).
% 1.89/2.10  0 [] p53(X164,X165)| -p53(X163,X164)| -p53(X163,X165).
% 1.89/2.10  0 [] p52(X161,X162)| -p52(X160,X161)| -p52(X160,X162).
% 1.89/2.10  0 [] p50(X158,X159)| -p50(X157,X158)| -p50(X157,X159).
% 1.89/2.10  0 [] p48(X155,X156)| -p48(X154,X155)| -p48(X154,X156).
% 1.89/2.10  0 [] p47(X148,X149)| -p47(X147,X148)| -p47(X147,X149).
% 1.89/2.10  0 [] p45(X145,X146)| -p45(X144,X145)| -p45(X144,X146).
% 1.89/2.10  0 [] p43(X138,X139)| -p43(X137,X138)| -p43(X137,X139).
% 1.89/2.10  0 [] p41(X131,X132)| -p41(X130,X131)| -p41(X130,X132).
% 1.89/2.10  0 [] p4(X124,X125)| -p4(X123,X124)| -p4(X123,X125).
% 1.89/2.10  0 [] p39(X117,X118)| -p39(X116,X117)| -p39(X116,X118).
% 1.89/2.10  0 [] p37(X106,X107)| -p37(X105,X106)| -p37(X105,X107).
% 1.89/2.10  0 [] p35(X99,X100)| -p35(X98,X99)| -p35(X98,X100).
% 1.89/2.10  0 [] p34(X88,X89)| -p34(X87,X88)| -p34(X87,X89).
% 1.89/2.10  0 [] p33(X85,X86)| -p33(X84,X85)| -p33(X84,X86).
% 1.89/2.10  0 [] p31(X82,X83)| -p31(X81,X82)| -p31(X81,X83).
% 1.89/2.10  0 [] p3(X75,X76)| -p3(X74,X75)| -p3(X74,X76).
% 1.89/2.10  0 [] p29(X68,X69)| -p29(X67,X68)| -p29(X67,X69).
% 1.89/2.10  0 [] p28(X61,X62)| -p28(X60,X61)| -p28(X60,X62).
% 1.89/2.10  0 [] p27(X58,X59)| -p27(X57,X58)| -p27(X57,X59).
% 1.89/2.10  0 [] p25(X55,X56)| -p25(X54,X55)| -p25(X54,X56).
% 1.89/2.10  0 [] p24(X52,X53)| -p24(X51,X52)| -p24(X51,X53).
% 1.89/2.10  0 [] p22(X45,X46)| -p22(X44,X45)| -p22(X44,X46).
% 1.89/2.10  0 [] p20(X42,X43)| -p20(X41,X42)| -p20(X41,X43).
% 1.89/2.10  0 [] p2(X39,X40)| -p2(X38,X39)| -p2(X38,X40).
% 1.89/2.10  0 [] p18(X36,X37)| -p18(X35,X36)| -p18(X35,X37).
% 1.89/2.10  0 [] p17(X29,X30)| -p17(X28,X29)| -p17(X28,X30).
% 1.89/2.10  0 [] p15(X22,X23)| -p15(X21,X22)| -p15(X21,X23).
% 1.89/2.10  0 [] p14(X14,X15)| -p14(X13,X14)| -p14(X13,X15).
% 1.89/2.10  0 [] p13(X11,X12)| -p13(X10,X11)| -p13(X10,X12).
% 1.89/2.10  0 [] p11(X4,X5)| -p11(X3,X4)| -p11(X3,X5).
% 1.89/2.10  0 [] p73(X257,X258)| -p56(X260,X258)| -p73(X259,X260)| -p28(X259,X257).
% 1.89/2.10  0 [] p65(X203,X204)| -p4(X206,X203)| -p65(X206,X205)| -p10(X205,X204).
% 1.89/2.10  0 [] p66(X207,X208)| -p18(X210,X208)| -p66(X209,X210)| -p11(X209,X207).
% 1.89/2.10  0 [] p67(X211,X212)| -p67(X213,X214)| -p7(X214,X212)| -p15(X213,X211).
% 1.89/2.10  0 [] p68(X217,X218)| -p68(X220,X219)| -p7(X220,X217)| -p14(X219,X218).
% 1.89/2.10  0 [] p69(X225,X226)| -p35(X228,X225)| -p69(X228,X227)| -p29(X227,X226).
% 1.89/2.10  0 [] p70(X238,X239)| -p34(X241,X239)| -p70(X240,X241)| -p29(X240,X238).
% 1.89/2.10  0 [] p71(X247,X248)| -p53(X250,X247)| -p71(X250,X249)| -p48(X249,X248).
% 1.89/2.10  0 [] p72(X251,X252)| -p57(X254,X251)| -p72(X254,X253)| -p28(X253,X252).
% 1.89/2.10  0 [] p11(f12(X6,X7),f12(X8,X9))| -p10(X7,X9)| -p9(X6,X8).
% 1.89/2.10  0 [] p7(f19(X234,X235),f19(X236,X237))| -p17(X234,X236)| -p18(X235,X237).
% 1.89/2.10  0 [] p59(f64(X190,X191),f64(X192,X193))| -p37(X191,X193)| -p63(X190,X192).
% 1.89/2.10  0 [] p57(f58(X183,X184),f58(X185,X186))| -p55(X183,X185)| -p56(X184,X186).
% 1.89/2.10  0 [] p56(f60(X176,X177),f60(X178,X179))| -p37(X177,X179)| -p59(X176,X178).
% 1.89/2.10  0 [] p53(f54(X166,X167),f54(X168,X169))| -p29(X167,X169)| -p52(X166,X168).
% 1.89/2.10  0 [] p47(f51(X150,X151),f51(X152,X153))| -p37(X151,X153)| -p50(X150,X152).
% 1.89/2.10  0 [] p43(f46(X140,X141),f46(X142,X143))| -p18(X141,X143)| -p45(X140,X142).
% 1.89/2.10  0 [] p41(f44(X133,X134),f44(X135,X136))| -p14(X134,X136)| -p43(X133,X135).
% 1.89/2.10  0 [] p4(f5(X126,X127),f5(X128,X129))| -p2(X126,X128)| -p3(X127,X129).
% 1.89/2.10  0 [] p39(f42(X119,X120),f42(X121,X122))| -p25(X120,X122)| -p41(X119,X121).
% 1.89/2.10  0 [] p37(f62(X112,X113),f62(X114,X115))| -p48(X113,X115)| -p61(X112,X114).
% 1.89/2.10  0 [] p37(f40(X108,X109),f40(X110,X111))| -p14(X109,X111)| -p39(X108,X110).
% 1.89/2.10  0 [] p35(f36(X101,X102),f36(X103,X104))| -p33(X101,X103)| -p34(X102,X104).
% 1.89/2.10  0 [] p34(f49(X94,X95),f49(X96,X97))| -p47(X94,X96)| -p48(X95,X97).
% 1.89/2.10  0 [] p34(f38(X90,X91),f38(X92,X93))| -p25(X90,X92)| -p37(X91,X93).
% 1.89/2.10  0 [] p3(f8(X77,X78),f8(X79,X80))| -p6(X77,X79)| -p7(X78,X80).
% 1.89/2.10  0 [] p29(f30(X70,X71),f30(X72,X73))| -p27(X70,X72)| -p28(X71,X73).
% 1.89/2.10  0 [] p28(f32(X63,X64),f32(X65,X66))| -p3(X64,X66)| -p31(X63,X65).
% 1.89/2.10  0 [] p22(f26(X47,X48),f26(X49,X50))| -p24(X47,X49)| -p25(X48,X50).
% 1.89/2.10  0 [] p17(f21(X31,X32),f21(X33,X34))| -p10(X32,X34)| -p20(X31,X33).
% 1.89/2.10  0 [] p15(f16(X24,X25),f16(X26,X27))| -p13(X24,X26)| -p14(X25,X27).
% 1.89/2.10  0 [] p14(f23(X16,X17),f23(X18,X19))| -p14(X17,X19)| -p22(X16,X18).
% 1.89/2.10  0 [] p70(f30(c88,X244),f49(f51(c94,X245),X246))| -p71(f54(c93,f30(c88,X244)),X246)| -p72(f58(c90,f60(f64(c91,X245),f62(c92,X246))),X244).
% 1.89/2.10  0 [] p68(f19(f21(c83,c77),X221),X222)| -p67(f16(c80,X224),c82)| -p66(f12(c78,c77),X221)| -p14(X222,f23(f26(c84,X223),X224))| -p69(f36(c86,f38(X223,f40(f42(f44(f46(c87,X221),X222),X223),X224))),f30(c88,f32(c89,f8(c75,c76)))).
% 1.89/2.10  end_of_list.
% 1.89/2.10  
% 1.89/2.10  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 1.89/2.10  
% 1.89/2.10  This is a Horn set without equality.  The strategy will
% 1.89/2.10  be hyperresolution, with satellites in sos and nuclei
% 1.89/2.10  in usable.
% 1.89/2.10  
% 1.89/2.10     dependent: set(hyper_res).
% 1.89/2.10     dependent: clear(order_hyper).
% 1.89/2.10  
% 1.89/2.10  ------------> process usable:
% 1.89/2.10  ** KEPT (pick-wt=7): 1 [] -p68(f19(f21(c83,c77),c79),c81).
% 1.89/2.10  ** KEPT (pick-wt=8): 2 [] p73(A,B)| -p72(f58(c90,B),A).
% 1.89/2.10  ** KEPT (pick-wt=8): 3 [] p68(A,B)| -p67(f16(c80,B),A).
% 1.89/2.10  ** KEPT (pick-wt=8): 4 [] p70(A,B)| -p69(f36(c86,B),A).
% 1.89/2.10  ** KEPT (pick-wt=8): 5 [] p67(f16(c80,A),B)| -p68(B,A).
% 1.89/2.10  ** KEPT (pick-wt=8): 6 [] p72(f58(c90,A),B)| -p73(B,A).
% 1.89/2.10  ** KEPT (pick-wt=8): 7 [] p69(f36(c86,A),B)| -p70(B,A).
% 1.89/2.10  ** KEPT (pick-wt=9): 8 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 9 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 10 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 11 [] p63(A,B)| -p63(C,A)| -p63(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 12 [] p61(A,B)| -p61(C,A)| -p61(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 13 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 14 [] p59(A,B)| -p59(C,A)| -p59(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 15 [] p57(A,B)| -p57(C,A)| -p57(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 16 [] p56(A,B)| -p56(C,A)| -p56(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 17 [] p55(A,B)| -p55(C,A)| -p55(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 18 [] p53(A,B)| -p53(C,A)| -p53(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 19 [] p52(A,B)| -p52(C,A)| -p52(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 20 [] p50(A,B)| -p50(C,A)| -p50(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 21 [] p48(A,B)| -p48(C,A)| -p48(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 22 [] p47(A,B)| -p47(C,A)| -p47(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 23 [] p45(A,B)| -p45(C,A)| -p45(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 24 [] p43(A,B)| -p43(C,A)| -p43(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 25 [] p41(A,B)| -p41(C,A)| -p41(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 26 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 27 [] p39(A,B)| -p39(C,A)| -p39(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 28 [] p37(A,B)| -p37(C,A)| -p37(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 29 [] p35(A,B)| -p35(C,A)| -p35(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 30 [] p34(A,B)| -p34(C,A)| -p34(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 31 [] p33(A,B)| -p33(C,A)| -p33(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 32 [] p31(A,B)| -p31(C,A)| -p31(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 33 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 34 [] p29(A,B)| -p29(C,A)| -p29(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 35 [] p28(A,B)| -p28(C,A)| -p28(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 36 [] p27(A,B)| -p27(C,A)| -p27(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 37 [] p25(A,B)| -p25(C,A)| -p25(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 38 [] p24(A,B)| -p24(C,A)| -p24(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 39 [] p22(A,B)| -p22(C,A)| -p22(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 40 [] p20(A,B)| -p20(C,A)| -p20(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 41 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 42 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 43 [] p17(A,B)| -p17(C,A)| -p17(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 44 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 45 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 46 [] p13(A,B)| -p13(C,A)| -p13(C,B).
% 1.89/2.10  ** KEPT (pick-wt=9): 47 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.89/2.10  ** KEPT (pick-wt=12): 48 [] p73(A,B)| -p56(C,B)| -p73(D,C)| -p28(D,A).
% 1.89/2.10  ** KEPT (pick-wt=12): 49 [] p65(A,B)| -p4(C,A)| -p65(C,D)| -p10(D,B).
% 1.89/2.10  ** KEPT (pick-wt=12): 50 [] p66(A,B)| -p18(C,B)| -p66(D,C)| -p11(D,A).
% 1.89/2.10  ** KEPT (pick-wt=12): 51 [] p67(A,B)| -p67(C,D)| -p7(D,B)| -p15(C,A).
% 1.89/2.10  ** KEPT (pick-wt=12): 52 [] p68(A,B)| -p68(C,D)| -p7(C,A)| -p14(D,B).
% 1.89/2.10  ** KEPT (pick-wt=12): 53 [] p69(A,B)| -p35(C,A)| -p69(C,D)| -p29(D,B).
% 1.89/2.10  ** KEPT (pick-wt=12): 54 [] p70(A,B)| -p34(C,B)| -p70(D,C)| -p29(D,A).
% 1.89/2.10  ** KEPT (pick-wt=12): 55 [] p71(A,B)| -p53(C,A)| -p71(C,D)| -p48(D,B).
% 1.89/2.10  ** KEPT (pick-wt=12): 56 [] p72(A,B)| -p57(C,A)| -p72(C,D)| -p28(D,B).
% 1.89/2.10  ** KEPT (pick-wt=13): 57 [] p11(f12(A,B),f12(C,D))| -p10(B,D)| -p9(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 58 [] p7(f19(A,B),f19(C,D))| -p17(A,C)| -p18(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 59 [] p59(f64(A,B),f64(C,D))| -p37(B,D)| -p63(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 60 [] p57(f58(A,B),f58(C,D))| -p55(A,C)| -p56(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 61 [] p56(f60(A,B),f60(C,D))| -p37(B,D)| -p59(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 62 [] p53(f54(A,B),f54(C,D))| -p29(B,D)| -p52(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 63 [] p47(f51(A,B),f51(C,D))| -p37(B,D)| -p50(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 64 [] p43(f46(A,B),f46(C,D))| -p18(B,D)| -p45(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 65 [] p41(f44(A,B),f44(C,D))| -p14(B,D)| -p43(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 66 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 67 [] p39(f42(A,B),f42(C,D))| -p25(B,D)| -p41(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 68 [] p37(f62(A,B),f62(C,D))| -p48(B,D)| -p61(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 69 [] p37(f40(A,B),f40(C,D))| -p14(B,D)| -p39(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 70 [] p35(f36(A,B),f36(C,D))| -p33(A,C)| -p34(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 71 [] p34(f49(A,B),f49(C,D))| -p47(A,C)| -p48(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 72 [] p34(f38(A,B),f38(C,D))| -p25(A,C)| -p37(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 73 [] p3(f8(A,B),f8(C,D))| -p6(A,C)| -p7(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 74 [] p29(f30(A,B),f30(C,D))| -p27(A,C)| -p28(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 75 [] p28(f32(A,B),f32(C,D))| -p3(B,D)| -p31(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 76 [] p22(f26(A,B),f26(C,D))| -p24(A,C)| -p25(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 77 [] p17(f21(A,B),f21(C,D))| -p10(B,D)| -p20(A,C).
% 1.89/2.10  ** KEPT (pick-wt=13): 78 [] p15(f16(A,B),f16(C,D))| -p13(A,C)| -p14(B,D).
% 1.89/2.10  ** KEPT (pick-wt=13): 79 [] p14(f23(A,B),f23(C,D))| -p14(B,D)| -p22(A,C).
% 1.89/2.10  ** KEPT (pick-wt=27): 80 [] p70(f30(c88,A),f49(f51(c94,B),C))| -p71(f54(c93,f30(c88,A)),C)| -p72(f58(c90,f60(f64(c91,B),f62(c92,C))),A).
% 1.89/2.10  ** KEPT (pick-wt=45): 81 [] p68(f19(f21(c83,c77),A),B)| -p67(f16(c80,C),c82)| -p66(f12(c78,c77),A)| -p14(B,f23(f26(c84,D),C))| -p69(f36(c86,f38(D,f40(f42(f44(f46(c87,A),B),D),C))),f30(c88,f32(c89,f8(c75,c76)))).
% 1.89/2.10  
% 1.89/2.10  ------------> process sos:
% 1.89/2.10  ** KEPT (pick-wt=3): 82 [] p10(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 83 [] p9(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 84 [] p7(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 85 [] p63(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 86 [] p61(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 87 [] p6(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 88 [] p59(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 89 [] p57(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 90 [] p56(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 91 [] p55(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 92 [] p53(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 93 [] p52(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 94 [] p50(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 95 [] p48(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 96 [] p47(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 97 [] p45(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 98 [] p43(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 99 [] p41(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 100 [] p4(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 101 [] p39(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 102 [] p37(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 103 [] p35(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 104 [] p34(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 105 [] p33(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 106 [] p31(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 107 [] p3(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 108 [] p29(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 109 [] p28(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 110 [] p27(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 111 [] p25(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 112 [] p24(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 113 [] p22(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 114 [] p20(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 115 [] p2(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 116 [] p18(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 117 [] p17(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 118 [] p15(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 119 [] p14(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 120 [] p13(A,A).
% 1.89/2.10  ** KEPT (pick-wt=3): 121 [] p11(A,A).
% 1.89/2.10  ** KEPT (pick-wt=5): 122 [] p66(f12(c78,c77),c79).
% 1.89/2.10  ** KEPT (pick-wt=5): 123 [] p67(f16(c80,c81),c82).
% 1.89/2.10  ** KEPT (pick-wt=7): 124 [] p70(f30(c88,A),f38(c85,B)).
% 1.89/2.10  ** KEPT (pick-wt=7): 125 [] p65(f5(c74,f8(c75,c76)),c77).
% 1.89/2.10  ** KEPT (pick-wt=7): 126 [] p14(f23(f26(c84,c85),A),A).
% 1.89/2.10  
% 1.89/2.10  ======= end of input processing =======
% 1.89/2.10  
% 1.89/2.10  =========== start of search ===========
% 1.89/2.10  
% 1.89/2.10  -------- PROOF -------- 
% 1.89/2.10  
% 1.89/2.10  ----> UNIT CONFLICT at   0.01 sec ----> 144 [binary,143.1,1.1] $F.
% 1.89/2.10  
% 1.89/2.10  Length of proof is 3.  Level of proof is 2.
% 1.89/2.10  
% 1.89/2.10  ---------------- PROOF ----------------
% 1.89/2.10  % SZS status Unsatisfiable
% 1.89/2.10  % SZS output start Refutation
% See solution above
% 1.89/2.10  ------------ end of proof -------------
% 1.89/2.10  
% 1.89/2.10  
% 1.89/2.10  Search stopped by max_proofs option.
% 1.89/2.10  
% 1.89/2.10  
% 1.89/2.10  Search stopped by max_proofs option.
% 1.89/2.10  
% 1.89/2.10  ============ end of search ============
% 1.89/2.10  
% 1.89/2.10  -------------- statistics -------------
% 1.89/2.10  clauses given                 49
% 1.89/2.10  clauses generated            135
% 1.89/2.10  clauses kept                 143
% 1.89/2.10  clauses forward subsumed     118
% 1.89/2.10  clauses back subsumed          0
% 1.89/2.10  Kbytes malloced             2929
% 1.89/2.10  
% 1.89/2.10  ----------- times (seconds) -----------
% 1.89/2.10  user CPU time          0.02          (0 hr, 0 min, 0 sec)
% 1.89/2.10  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.89/2.10  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.89/2.10  
% 1.89/2.10  That finishes the proof of the theorem.
% 1.89/2.10  
% 1.89/2.10  Process 6279 finished Wed Jul 27 11:12:50 2022
% 1.89/2.10  Otter interrupted
% 1.89/2.10  PROOF FOUND
%------------------------------------------------------------------------------