TSTP Solution File: PRO014+3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : PRO014+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n008.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 13:10:59 EDT 2022

% Result   : Theorem 8.72s 8.90s
% Output   : Refutation 8.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   54 (  30 unt;  12 nHn;  54 RR)
%            Number of literals    :  121 (   1 equ;  58 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   55 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ earlier(A,B)
    | ~ earlier(B,C)
    | earlier(A,C) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ precedes(A,B)
    | earlier(A,B) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ precedes(A,B)
    | legal(B) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(16,axiom,
    ( precedes(A,B)
    | ~ earlier(A,B)
    | ~ legal(B) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ min_precedes(A,B,C)
    | precedes(A,B) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ min_precedes(A,B,C)
    | ~ min_precedes(A,D,C)
    | ~ precedes(B,D)
    | min_precedes(B,D,C) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(36,axiom,
    ( ~ next_subocc(A,B,C)
    | min_precedes(A,B,C) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ min_precedes(A,B,C)
    | ~ occurrence_of(D,C)
    | ~ subactivity_occurrence(B,D)
    | subactivity_occurrence(A,D) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(64,axiom,
    ( ~ leaf_occ(A,B)
    | subactivity_occurrence(A,B) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(66,axiom,
    ( leaf_occ(A,B)
    | ~ occurrence_of(B,C)
    | ~ subactivity_occurrence(A,B)
    | ~ leaf(A,C) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(75,axiom,
    ( ~ occurrence_of(A,B)
    | ~ subactivity_occurrence(C,A)
    | ~ leaf_occ(D,A)
    | ~ arboreal(C)
    | min_precedes(C,D,B)
    | D = C ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(78,axiom,
    ( ~ leaf(A,B)
    | atomic(B)
    | occurrence_of(dollar_f16(A,B),B) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(79,axiom,
    ( ~ leaf(A,B)
    | atomic(B)
    | leaf_occ(A,dollar_f16(A,B)) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(83,axiom,
    ( ~ occurrence_of(A,tptp0)
    | ~ subactivity_occurrence(B,A)
    | ~ arboreal(B)
    | leaf_occ(B,A)
    | occurrence_of(dollar_f19(B,A),tptp3) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(84,axiom,
    ( ~ occurrence_of(A,tptp0)
    | ~ subactivity_occurrence(B,A)
    | ~ arboreal(B)
    | leaf_occ(B,A)
    | next_subocc(B,dollar_f19(B,A),tptp0) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(86,axiom,
    ( ~ occurrence_of(A,tptp0)
    | ~ subactivity_occurrence(B,A)
    | ~ arboreal(B)
    | leaf_occ(B,A)
    | next_subocc(dollar_f19(B,A),dollar_f18(B,A),tptp0) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(87,axiom,
    ( ~ occurrence_of(A,tptp0)
    | ~ subactivity_occurrence(B,A)
    | ~ arboreal(B)
    | leaf_occ(B,A)
    | occurrence_of(dollar_f17(B,A),tptp2)
    | occurrence_of(dollar_f17(B,A),tptp1) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(88,axiom,
    ( ~ occurrence_of(A,tptp0)
    | ~ subactivity_occurrence(B,A)
    | ~ arboreal(B)
    | leaf_occ(B,A)
    | next_subocc(dollar_f18(B,A),dollar_f17(B,A),tptp0) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(89,axiom,
    ( ~ occurrence_of(A,tptp0)
    | ~ subactivity_occurrence(B,A)
    | ~ arboreal(B)
    | leaf_occ(B,A)
    | leaf(dollar_f17(B,A),tptp0) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(90,axiom,
    ~ atomic(tptp0),
    file('PRO014+3.p',unknown),
    [] ).

cnf(97,axiom,
    ~ leaf_occ(dollar_c2,dollar_c1),
    file('PRO014+3.p',unknown),
    [] ).

cnf(98,axiom,
    ( ~ occurrence_of(A,tptp3)
    | ~ next_subocc(dollar_c2,A,tptp0)
    | ~ occurrence_of(B,tptp2)
    | ~ min_precedes(A,B,tptp0)
    | ~ leaf(B,tptp0) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(99,axiom,
    ( ~ occurrence_of(A,tptp3)
    | ~ next_subocc(dollar_c2,A,tptp0)
    | ~ occurrence_of(B,tptp1)
    | ~ min_precedes(A,B,tptp0)
    | ~ leaf(B,tptp0) ),
    file('PRO014+3.p',unknown),
    [] ).

cnf(120,axiom,
    occurrence_of(dollar_c1,tptp0),
    file('PRO014+3.p',unknown),
    [] ).

cnf(121,axiom,
    subactivity_occurrence(dollar_c2,dollar_c1),
    file('PRO014+3.p',unknown),
    [] ).

cnf(122,axiom,
    arboreal(dollar_c2),
    file('PRO014+3.p',unknown),
    [] ).

cnf(231,plain,
    leaf(dollar_f17(dollar_c2,dollar_c1),tptp0),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,89,120,122]),97]),
    [iquote('hyper,121,89,120,122,unit_del,97')] ).

cnf(232,plain,
    next_subocc(dollar_f18(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1),tptp0),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,88,120,122]),97]),
    [iquote('hyper,121,88,120,122,unit_del,97')] ).

cnf(233,plain,
    ( occurrence_of(dollar_f17(dollar_c2,dollar_c1),tptp2)
    | occurrence_of(dollar_f17(dollar_c2,dollar_c1),tptp1) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,87,120,122]),97]),
    [iquote('hyper,121,87,120,122,unit_del,97')] ).

cnf(234,plain,
    next_subocc(dollar_f19(dollar_c2,dollar_c1),dollar_f18(dollar_c2,dollar_c1),tptp0),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,86,120,122]),97]),
    [iquote('hyper,121,86,120,122,unit_del,97')] ).

cnf(236,plain,
    next_subocc(dollar_c2,dollar_f19(dollar_c2,dollar_c1),tptp0),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,84,120,122]),97]),
    [iquote('hyper,121,84,120,122,unit_del,97')] ).

cnf(237,plain,
    occurrence_of(dollar_f19(dollar_c2,dollar_c1),tptp3),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,83,120,122]),97]),
    [iquote('hyper,121,83,120,122,unit_del,97')] ).

cnf(828,plain,
    leaf_occ(dollar_f17(dollar_c2,dollar_c1),dollar_f16(dollar_f17(dollar_c2,dollar_c1),tptp0)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[231,79]),90]),
    [iquote('hyper,231,79,unit_del,90')] ).

cnf(829,plain,
    occurrence_of(dollar_f16(dollar_f17(dollar_c2,dollar_c1),tptp0),tptp0),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[231,78]),90]),
    [iquote('hyper,231,78,unit_del,90')] ).

cnf(857,plain,
    ( leaf(A,tptp0)
    | ~ occurrence_of(B,C)
    | ~ subactivity_occurrence(A,B)
    | ~ leaf_occ(dollar_f17(dollar_c2,dollar_c1),B)
    | ~ arboreal(A)
    | min_precedes(A,dollar_f17(dollar_c2,dollar_c1),C) ),
    inference(para_into,[status(thm),theory(equality)],[231,75]),
    [iquote('para_into,231.1.1,75.6.1')] ).

cnf(1731,plain,
    min_precedes(dollar_c2,dollar_f19(dollar_c2,dollar_c1),tptp0),
    inference(hyper,[status(thm)],[236,36]),
    [iquote('hyper,236,36')] ).

cnf(1773,plain,
    min_precedes(dollar_f18(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1),tptp0),
    inference(hyper,[status(thm)],[232,36]),
    [iquote('hyper,232,36')] ).

cnf(1777,plain,
    min_precedes(dollar_f19(dollar_c2,dollar_c1),dollar_f18(dollar_c2,dollar_c1),tptp0),
    inference(hyper,[status(thm)],[234,36]),
    [iquote('hyper,234,36')] ).

cnf(1801,plain,
    precedes(dollar_f18(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1773,26]),
    [iquote('hyper,1773,26')] ).

cnf(1805,plain,
    legal(dollar_f17(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1801,15]),
    [iquote('hyper,1801,15')] ).

cnf(1806,plain,
    earlier(dollar_f18(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1801,14]),
    [iquote('hyper,1801,14')] ).

cnf(1818,plain,
    precedes(dollar_f19(dollar_c2,dollar_c1),dollar_f18(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1777,26]),
    [iquote('hyper,1777,26')] ).

cnf(1822,plain,
    earlier(dollar_f19(dollar_c2,dollar_c1),dollar_f18(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1818,14]),
    [iquote('hyper,1818,14')] ).

cnf(1824,plain,
    earlier(dollar_f19(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1822,8,1806]),
    [iquote('hyper,1822,8,1806')] ).

cnf(1828,plain,
    precedes(dollar_f19(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1)),
    inference(hyper,[status(thm)],[1824,16,1805]),
    [iquote('hyper,1824,16,1805')] ).

cnf(1835,plain,
    subactivity_occurrence(dollar_f17(dollar_c2,dollar_c1),dollar_f16(dollar_f17(dollar_c2,dollar_c1),tptp0)),
    inference(hyper,[status(thm)],[828,64]),
    [iquote('hyper,828,64')] ).

cnf(1853,plain,
    subactivity_occurrence(dollar_f18(dollar_c2,dollar_c1),dollar_f16(dollar_f17(dollar_c2,dollar_c1),tptp0)),
    inference(hyper,[status(thm)],[1835,54,1773,829]),
    [iquote('hyper,1835,54,1773,829')] ).

cnf(1862,plain,
    subactivity_occurrence(dollar_f19(dollar_c2,dollar_c1),dollar_f16(dollar_f17(dollar_c2,dollar_c1),tptp0)),
    inference(hyper,[status(thm)],[1853,54,1777,829]),
    [iquote('hyper,1853,54,1777,829')] ).

cnf(1866,plain,
    subactivity_occurrence(dollar_c2,dollar_f16(dollar_f17(dollar_c2,dollar_c1),tptp0)),
    inference(hyper,[status(thm)],[1862,54,1731,829]),
    [iquote('hyper,1862,54,1731,829')] ).

cnf(1956,plain,
    ( leaf(dollar_c2,tptp0)
    | min_precedes(dollar_c2,dollar_f17(dollar_c2,dollar_c1),tptp0) ),
    inference(hyper,[status(thm)],[857,829,1866,828,122]),
    [iquote('hyper,857,829,1866,828,122')] ).

cnf(1957,plain,
    min_precedes(dollar_c2,dollar_f17(dollar_c2,dollar_c1),tptp0),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1956,66,120,121]),97]),
    [iquote('hyper,1956,66,120,121,unit_del,97')] ).

cnf(1962,plain,
    min_precedes(dollar_f19(dollar_c2,dollar_c1),dollar_f17(dollar_c2,dollar_c1),tptp0),
    inference(hyper,[status(thm)],[1957,29,1731,1828]),
    [iquote('hyper,1957,29,1731,1828')] ).

cnf(1980,plain,
    occurrence_of(dollar_f17(dollar_c2,dollar_c1),tptp2),
    inference(hyper,[status(thm)],[1962,99,237,236,233,231]),
    [iquote('hyper,1962,99,237,236,233,231')] ).

cnf(1991,plain,
    $false,
    inference(hyper,[status(thm)],[1980,98,237,236,1962,231]),
    [iquote('hyper,1980,98,237,236,1962,231')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PRO014+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n008.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 04:59:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.96/2.17  ----- Otter 3.3f, August 2004 -----
% 1.96/2.17  The process was started by sandbox2 on n008.cluster.edu,
% 1.96/2.17  Wed Jul 27 04:59:53 2022
% 1.96/2.17  The command was "./otter".  The process ID is 24096.
% 1.96/2.17  
% 1.96/2.17  set(prolog_style_variables).
% 1.96/2.17  set(auto).
% 1.96/2.17     dependent: set(auto1).
% 1.96/2.17     dependent: set(process_input).
% 1.96/2.17     dependent: clear(print_kept).
% 1.96/2.17     dependent: clear(print_new_demod).
% 1.96/2.17     dependent: clear(print_back_demod).
% 1.96/2.17     dependent: clear(print_back_sub).
% 1.96/2.17     dependent: set(control_memory).
% 1.96/2.17     dependent: assign(max_mem, 12000).
% 1.96/2.17     dependent: assign(pick_given_ratio, 4).
% 1.96/2.17     dependent: assign(stats_level, 1).
% 1.96/2.17     dependent: assign(max_seconds, 10800).
% 1.96/2.17  clear(print_given).
% 1.96/2.17  
% 1.96/2.17  formula_list(usable).
% 1.96/2.17  all A (A=A).
% 1.96/2.17  all X0 X1 (occurrence_of(X1,X0)->activity(X0)&activity_occurrence(X1)).
% 1.96/2.17  all X2 (activity_occurrence(X2)-> (exists X3 (activity(X3)&occurrence_of(X2,X3)))).
% 1.96/2.17  all X4 X5 X6 (occurrence_of(X4,X5)&occurrence_of(X4,X6)->X5=X6).
% 1.96/2.17  all X7 (activity(X7)->subactivity(X7,X7)).
% 1.96/2.17  all X8 X9 (earlier(X8,X9)-> -earlier(X9,X8)).
% 1.96/2.17  all X10 X11 X12 (earlier(X10,X11)&earlier(X11,X12)->earlier(X10,X12)).
% 1.96/2.17  all X13 X14 X15 (earlier(X13,X14)&earlier(X15,X14)->earlier(X15,X13)|earlier(X13,X15)|X13=X15).
% 1.96/2.17  all X16 X17 (occurrence_of(X16,X17)-> (arboreal(X16)<->atomic(X17))).
% 1.96/2.17  all X18 (legal(X18)->arboreal(X18)).
% 1.96/2.17  all X19 X20 (legal(X19)&earlier(X20,X19)->legal(X20)).
% 1.96/2.17  all X21 X22 (precedes(X21,X22)<->earlier(X21,X22)&legal(X22)).
% 1.96/2.17  all X23 X24 X25 (min_precedes(X24,X25,X23)-> (exists X26 X27 (subactivity(X26,X23)&subactivity(X27,X23)&atocc(X24,X26)&atocc(X25,X27)))).
% 1.96/2.17  all X28 X29 (root(X29,X28)-> (exists X30 (subactivity(X30,X28)&atocc(X29,X30)))).
% 1.96/2.17  all X31 X32 X33 (min_precedes(X31,X32,X33)-> (exists X34 (root(X34,X33)&min_precedes(X34,X32,X33)))).
% 1.96/2.17  all X35 X36 X37 (min_precedes(X35,X36,X37)-> -root(X36,X37)).
% 1.96/2.17  all X38 X39 X40 (min_precedes(X38,X39,X40)->precedes(X38,X39)).
% 1.96/2.17  all X41 X42 (root(X41,X42)->legal(X41)).
% 1.96/2.17  all X43 X44 (atocc(X43,X44)&legal(X43)->root(X43,X44)).
% 1.96/2.17  all X45 X46 X47 X48 (min_precedes(X45,X46,X48)&min_precedes(X45,X47,X48)&precedes(X46,X47)->min_precedes(X46,X47,X48)).
% 1.96/2.17  all X49 X50 X51 (min_precedes(X49,X50,X51)-> -atomic(X51)).
% 1.96/2.17  all X52 X53 X54 X55 (min_precedes(X53,X52,X55)&min_precedes(X54,X52,X55)&precedes(X53,X54)->min_precedes(X53,X54,X55)).
% 1.96/2.17  all X56 X57 (leaf(X56,X57)<-> (root(X56,X57)| (exists X58 min_precedes(X58,X56,X57)))& -(exists X59 min_precedes(X56,X59,X57))).
% 1.96/2.17  all X60 X61 X62 (next_subocc(X60,X61,X62)<->min_precedes(X60,X61,X62)& -(exists X63 (min_precedes(X60,X63,X62)&min_precedes(X63,X61,X62)))).
% 1.96/2.17  all X64 X65 (atocc(X64,X65)<-> (exists X66 (subactivity(X65,X66)&atomic(X66)&occurrence_of(X64,X66)))).
% 1.96/2.17  all X67 X68 (subactivity_occurrence(X67,X68)->activity_occurrence(X67)&activity_occurrence(X68)).
% 1.96/2.17  all X69 X70 X71 (min_precedes(X70,X71,X69)-> (exists X72 (occurrence_of(X72,X69)&subactivity_occurrence(X70,X72)&subactivity_occurrence(X71,X72)))).
% 1.96/2.17  all X73 X74 (root(X74,X73)& -atomic(X73)-> (exists X75 (occurrence_of(X75,X73)&subactivity_occurrence(X74,X75)))).
% 1.96/2.17  all X76 X77 (occurrence_of(X77,X76)& -atomic(X76)-> (exists X78 (root(X78,X76)&subactivity_occurrence(X78,X77)))).
% 1.96/2.17  all X79 X80 X81 X82 (occurrence_of(X80,X79)&arboreal(X81)&arboreal(X82)&subactivity_occurrence(X81,X80)&subactivity_occurrence(X82,X80)->min_precedes(X81,X82,X79)|min_precedes(X82,X81,X79)|X81=X82).
% 1.96/2.17  all X83 X84 X85 X86 (min_precedes(X83,X84,X85)&occurrence_of(X86,X85)&subactivity_occurrence(X84,X86)->subactivity_occurrence(X83,X86)).
% 1.96/2.17  all X87 X88 X89 X90 (occurrence_of(X89,X87)&occurrence_of(X90,X88)& -atomic(X87)&subactivity_occurrence(X89,X90)->subactivity(X87,X88)).
% 1.96/2.17  all X91 X92 X93 (subactivity_occurrence(X91,X92)&subactivity_occurrence(X92,X93)->subactivity_occurrence(X91,X93)).
% 1.96/2.17  all X94 X95 X96 X97 (occurrence_of(X96,X94)&occurrence_of(X97,X95)&subactivity(X94,X95)& -subactivity_occurrence(X96,X97)-> (exists X98 (subactivity_occurrence(X98,X97)& -subactivity_occurrence(X98,X96)))).
% 1.96/2.17  all X99 X100 (root_occ(X99,X100)<-> (exists X101 (occurrence_of(X100,X101)&subactivity_occurrence(X99,X100)&root(X99,X101)))).
% 1.96/2.17  all X102 X103 (leaf_occ(X102,X103)<-> (exists X104 (occurrence_of(X103,X104)&subactivity_occurrence(X102,X103)&leaf(X102,X104)))).
% 1.96/2.17  all X105 X106 X107 X108 (occurrence_of(X107,X108)&root_occ(X105,X107)&root_occ(X106,X107)->X105=X106).
% 1.96/2.17  all X109 X110 X111 X112 (occurrence_of(X111,X112)& -atomic(X112)&leaf_occ(X109,X111)&leaf_occ(X110,X111)->X109=X110).
% 1.96/2.17  all X113 X114 X115 (occurrence_of(X113,X115)&leaf_occ(X114,X113)-> -(exists X116 min_precedes(X114,X116,X115))).
% 1.96/2.17  all X117 X118 X119 (occurrence_of(X117,X119)&root_occ(X118,X117)-> -(exists X120 min_precedes(X120,X118,X119))).
% 1.96/2.17  all X121 X122 X123 X124 X125 (next_subocc(X121,X122,X124)&next_subocc(X121,X123,X124)&occurrence_of(X125,X124)&subactivity_occurrence(X123,X125)&subactivity_occurrence(X122,X125)->X122=X123).
% 1.96/2.17  all X126 X127 X128 X129 (next_subocc(X127,X126,X129)&next_subocc(X128,X126,X129)->X127=X128).
% 1.96/2.17  all X130 X131 X132 X133 (occurrence_of(X130,X133)&leaf_occ(X131,X130)&root_occ(X132,X130)&X131!=X132->min_precedes(X132,X131,X133)).
% 1.96/2.17  all X134 X135 X136 X137 (occurrence_of(X135,X134)&subactivity_occurrence(X136,X135)&root_occ(X137,X135)&arboreal(X136)& -min_precedes(X137,X136,X134)->X137=X136).
% 1.96/2.17  all X138 X139 X140 X141 (occurrence_of(X139,X138)&subactivity_occurrence(X140,X139)&leaf_occ(X141,X139)&arboreal(X140)& -min_precedes(X140,X141,X138)->X141=X140).
% 1.96/2.17  all X142 X143 X144 (next_subocc(X142,X143,X144)->arboreal(X142)&arboreal(X143)).
% 1.96/2.17  all X145 X146 (leaf(X145,X146)& -atomic(X146)-> (exists X147 (occurrence_of(X147,X146)&leaf_occ(X145,X147)))).
% 1.96/2.17  all X148 X149 X150 (min_precedes(X148,X149,X150)->arboreal(X148)).
% 1.96/2.17  all X151 X152 X153 X154 X155 (occurrence_of(X152,X151)&root_occ(X154,X152)&leaf_occ(X155,X152)&subactivity_occurrence(X153,X152)&min_precedes(X153,X155,X151)&X153!=X154->min_precedes(X154,X153,X151)).
% 1.96/2.17  all X156 X157 X158 X159 X160 (occurrence_of(X157,X156)&root_occ(X159,X157)&leaf_occ(X160,X157)&subactivity_occurrence(X158,X157)&min_precedes(X159,X158,X156)&X158!=X160->min_precedes(X158,X160,X156)).
% 1.96/2.17  all X161 X162 (occurrence_of(X162,tptp0)&subactivity_occurrence(X161,X162)&arboreal(X161)& -leaf_occ(X161,X162)-> (exists X163 X164 X165 (occurrence_of(X163,tptp3)&next_subocc(X161,X163,tptp0)&occurrence_of(X164,tptp4)&next_subocc(X163,X164,tptp0)& (occurrence_of(X165,tptp2)|occurrence_of(X165,tptp1))&next_subocc(X164,X165,tptp0)&leaf(X165,tptp0)))).
% 1.96/2.17  activity(tptp0).
% 1.96/2.17  -atomic(tptp0).
% 1.96/2.17  atomic(tptp4).
% 1.96/2.17  atomic(tptp2).
% 1.96/2.17  atomic(tptp1).
% 1.96/2.17  atomic(tptp3).
% 1.96/2.17  tptp4!=tptp3.
% 1.96/2.17  tptp4!=tptp2.
% 1.96/2.17  tptp4!=tptp1.
% 1.96/2.17  tptp3!=tptp2.
% 1.96/2.17  tptp3!=tptp1.
% 1.96/2.17  tptp2!=tptp1.
% 1.96/2.17  -(all X166 X167 (occurrence_of(X167,tptp0)&subactivity_occurrence(X166,X167)&arboreal(X166)& -leaf_occ(X166,X167)-> (exists X168 X169 (occurrence_of(X168,tptp3)&next_subocc(X166,X168,tptp0)& (occurrence_of(X169,tptp2)|occurrence_of(X169,tptp1))&min_precedes(X168,X169,tptp0)&leaf(X169,tptp0))))).
% 1.96/2.17  end_of_list.
% 1.96/2.17  
% 1.96/2.17  -------> usable clausifies to:
% 1.96/2.17  
% 1.96/2.17  list(usable).
% 1.96/2.17  0 [] A=A.
% 1.96/2.17  0 [] -occurrence_of(X1,X0)|activity(X0).
% 1.96/2.17  0 [] -occurrence_of(X1,X0)|activity_occurrence(X1).
% 1.96/2.17  0 [] -activity_occurrence(X2)|activity($f1(X2)).
% 1.96/2.17  0 [] -activity_occurrence(X2)|occurrence_of(X2,$f1(X2)).
% 1.96/2.17  0 [] -occurrence_of(X4,X5)| -occurrence_of(X4,X6)|X5=X6.
% 1.96/2.17  0 [] -activity(X7)|subactivity(X7,X7).
% 1.96/2.17  0 [] -earlier(X8,X9)| -earlier(X9,X8).
% 1.96/2.17  0 [] -earlier(X10,X11)| -earlier(X11,X12)|earlier(X10,X12).
% 1.96/2.17  0 [] -earlier(X13,X14)| -earlier(X15,X14)|earlier(X15,X13)|earlier(X13,X15)|X13=X15.
% 1.96/2.17  0 [] -occurrence_of(X16,X17)| -arboreal(X16)|atomic(X17).
% 1.96/2.17  0 [] -occurrence_of(X16,X17)|arboreal(X16)| -atomic(X17).
% 1.96/2.17  0 [] -legal(X18)|arboreal(X18).
% 1.96/2.17  0 [] -legal(X19)| -earlier(X20,X19)|legal(X20).
% 1.96/2.17  0 [] -precedes(X21,X22)|earlier(X21,X22).
% 1.96/2.17  0 [] -precedes(X21,X22)|legal(X22).
% 1.96/2.17  0 [] precedes(X21,X22)| -earlier(X21,X22)| -legal(X22).
% 1.96/2.17  0 [] -min_precedes(X24,X25,X23)|subactivity($f3(X23,X24,X25),X23).
% 1.96/2.17  0 [] -min_precedes(X24,X25,X23)|subactivity($f2(X23,X24,X25),X23).
% 1.96/2.17  0 [] -min_precedes(X24,X25,X23)|atocc(X24,$f3(X23,X24,X25)).
% 1.96/2.17  0 [] -min_precedes(X24,X25,X23)|atocc(X25,$f2(X23,X24,X25)).
% 1.96/2.17  0 [] -root(X29,X28)|subactivity($f4(X28,X29),X28).
% 1.96/2.17  0 [] -root(X29,X28)|atocc(X29,$f4(X28,X29)).
% 1.96/2.17  0 [] -min_precedes(X31,X32,X33)|root($f5(X31,X32,X33),X33).
% 1.96/2.17  0 [] -min_precedes(X31,X32,X33)|min_precedes($f5(X31,X32,X33),X32,X33).
% 1.96/2.17  0 [] -min_precedes(X35,X36,X37)| -root(X36,X37).
% 1.96/2.18  0 [] -min_precedes(X38,X39,X40)|precedes(X38,X39).
% 1.96/2.18  0 [] -root(X41,X42)|legal(X41).
% 1.96/2.18  0 [] -atocc(X43,X44)| -legal(X43)|root(X43,X44).
% 1.96/2.18  0 [] -min_precedes(X45,X46,X48)| -min_precedes(X45,X47,X48)| -precedes(X46,X47)|min_precedes(X46,X47,X48).
% 1.96/2.18  0 [] -min_precedes(X49,X50,X51)| -atomic(X51).
% 1.96/2.18  0 [] -min_precedes(X53,X52,X55)| -min_precedes(X54,X52,X55)| -precedes(X53,X54)|min_precedes(X53,X54,X55).
% 1.96/2.18  0 [] -leaf(X56,X57)|root(X56,X57)|min_precedes($f6(X56,X57),X56,X57).
% 1.96/2.18  0 [] -leaf(X56,X57)| -min_precedes(X56,X59,X57).
% 1.96/2.18  0 [] leaf(X56,X57)| -root(X56,X57)|min_precedes(X56,$f7(X56,X57),X57).
% 1.96/2.18  0 [] leaf(X56,X57)| -min_precedes(X58,X56,X57)|min_precedes(X56,$f7(X56,X57),X57).
% 1.96/2.18  0 [] -next_subocc(X60,X61,X62)|min_precedes(X60,X61,X62).
% 1.96/2.18  0 [] -next_subocc(X60,X61,X62)| -min_precedes(X60,X63,X62)| -min_precedes(X63,X61,X62).
% 1.96/2.18  0 [] next_subocc(X60,X61,X62)| -min_precedes(X60,X61,X62)|min_precedes(X60,$f8(X60,X61,X62),X62).
% 1.96/2.18  0 [] next_subocc(X60,X61,X62)| -min_precedes(X60,X61,X62)|min_precedes($f8(X60,X61,X62),X61,X62).
% 1.96/2.18  0 [] -atocc(X64,X65)|subactivity(X65,$f9(X64,X65)).
% 1.96/2.18  0 [] -atocc(X64,X65)|atomic($f9(X64,X65)).
% 1.96/2.18  0 [] -atocc(X64,X65)|occurrence_of(X64,$f9(X64,X65)).
% 1.96/2.18  0 [] atocc(X64,X65)| -subactivity(X65,X66)| -atomic(X66)| -occurrence_of(X64,X66).
% 1.96/2.18  0 [] -subactivity_occurrence(X67,X68)|activity_occurrence(X67).
% 1.96/2.18  0 [] -subactivity_occurrence(X67,X68)|activity_occurrence(X68).
% 1.96/2.18  0 [] -min_precedes(X70,X71,X69)|occurrence_of($f10(X69,X70,X71),X69).
% 1.96/2.18  0 [] -min_precedes(X70,X71,X69)|subactivity_occurrence(X70,$f10(X69,X70,X71)).
% 1.96/2.18  0 [] -min_precedes(X70,X71,X69)|subactivity_occurrence(X71,$f10(X69,X70,X71)).
% 1.96/2.18  0 [] -root(X74,X73)|atomic(X73)|occurrence_of($f11(X73,X74),X73).
% 1.96/2.18  0 [] -root(X74,X73)|atomic(X73)|subactivity_occurrence(X74,$f11(X73,X74)).
% 1.96/2.18  0 [] -occurrence_of(X77,X76)|atomic(X76)|root($f12(X76,X77),X76).
% 1.96/2.18  0 [] -occurrence_of(X77,X76)|atomic(X76)|subactivity_occurrence($f12(X76,X77),X77).
% 1.96/2.18  0 [] -occurrence_of(X80,X79)| -arboreal(X81)| -arboreal(X82)| -subactivity_occurrence(X81,X80)| -subactivity_occurrence(X82,X80)|min_precedes(X81,X82,X79)|min_precedes(X82,X81,X79)|X81=X82.
% 1.96/2.18  0 [] -min_precedes(X83,X84,X85)| -occurrence_of(X86,X85)| -subactivity_occurrence(X84,X86)|subactivity_occurrence(X83,X86).
% 1.96/2.18  0 [] -occurrence_of(X89,X87)| -occurrence_of(X90,X88)|atomic(X87)| -subactivity_occurrence(X89,X90)|subactivity(X87,X88).
% 1.96/2.18  0 [] -subactivity_occurrence(X91,X92)| -subactivity_occurrence(X92,X93)|subactivity_occurrence(X91,X93).
% 1.96/2.18  0 [] -occurrence_of(X96,X94)| -occurrence_of(X97,X95)| -subactivity(X94,X95)|subactivity_occurrence(X96,X97)|subactivity_occurrence($f13(X94,X95,X96,X97),X97).
% 1.96/2.18  0 [] -occurrence_of(X96,X94)| -occurrence_of(X97,X95)| -subactivity(X94,X95)|subactivity_occurrence(X96,X97)| -subactivity_occurrence($f13(X94,X95,X96,X97),X96).
% 1.96/2.18  0 [] -root_occ(X99,X100)|occurrence_of(X100,$f14(X99,X100)).
% 1.96/2.18  0 [] -root_occ(X99,X100)|subactivity_occurrence(X99,X100).
% 1.96/2.18  0 [] -root_occ(X99,X100)|root(X99,$f14(X99,X100)).
% 1.96/2.18  0 [] root_occ(X99,X100)| -occurrence_of(X100,X101)| -subactivity_occurrence(X99,X100)| -root(X99,X101).
% 1.96/2.18  0 [] -leaf_occ(X102,X103)|occurrence_of(X103,$f15(X102,X103)).
% 1.96/2.18  0 [] -leaf_occ(X102,X103)|subactivity_occurrence(X102,X103).
% 1.96/2.18  0 [] -leaf_occ(X102,X103)|leaf(X102,$f15(X102,X103)).
% 1.96/2.18  0 [] leaf_occ(X102,X103)| -occurrence_of(X103,X104)| -subactivity_occurrence(X102,X103)| -leaf(X102,X104).
% 1.96/2.18  0 [] -occurrence_of(X107,X108)| -root_occ(X105,X107)| -root_occ(X106,X107)|X105=X106.
% 1.96/2.18  0 [] -occurrence_of(X111,X112)|atomic(X112)| -leaf_occ(X109,X111)| -leaf_occ(X110,X111)|X109=X110.
% 1.96/2.18  0 [] -occurrence_of(X113,X115)| -leaf_occ(X114,X113)| -min_precedes(X114,X116,X115).
% 1.96/2.18  0 [] -occurrence_of(X117,X119)| -root_occ(X118,X117)| -min_precedes(X120,X118,X119).
% 1.96/2.18  0 [] -next_subocc(X121,X122,X124)| -next_subocc(X121,X123,X124)| -occurrence_of(X125,X124)| -subactivity_occurrence(X123,X125)| -subactivity_occurrence(X122,X125)|X122=X123.
% 1.96/2.18  0 [] -next_subocc(X127,X126,X129)| -next_subocc(X128,X126,X129)|X127=X128.
% 1.96/2.18  0 [] -occurrence_of(X130,X133)| -leaf_occ(X131,X130)| -root_occ(X132,X130)|X131=X132|min_precedes(X132,X131,X133).
% 1.96/2.18  0 [] -occurrence_of(X135,X134)| -subactivity_occurrence(X136,X135)| -root_occ(X137,X135)| -arboreal(X136)|min_precedes(X137,X136,X134)|X137=X136.
% 1.96/2.18  0 [] -occurrence_of(X139,X138)| -subactivity_occurrence(X140,X139)| -leaf_occ(X141,X139)| -arboreal(X140)|min_precedes(X140,X141,X138)|X141=X140.
% 1.96/2.18  0 [] -next_subocc(X142,X143,X144)|arboreal(X142).
% 1.96/2.18  0 [] -next_subocc(X142,X143,X144)|arboreal(X143).
% 1.96/2.18  0 [] -leaf(X145,X146)|atomic(X146)|occurrence_of($f16(X145,X146),X146).
% 1.96/2.18  0 [] -leaf(X145,X146)|atomic(X146)|leaf_occ(X145,$f16(X145,X146)).
% 1.96/2.18  0 [] -min_precedes(X148,X149,X150)|arboreal(X148).
% 1.96/2.18  0 [] -occurrence_of(X152,X151)| -root_occ(X154,X152)| -leaf_occ(X155,X152)| -subactivity_occurrence(X153,X152)| -min_precedes(X153,X155,X151)|X153=X154|min_precedes(X154,X153,X151).
% 1.96/2.18  0 [] -occurrence_of(X157,X156)| -root_occ(X159,X157)| -leaf_occ(X160,X157)| -subactivity_occurrence(X158,X157)| -min_precedes(X159,X158,X156)|X158=X160|min_precedes(X158,X160,X156).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|occurrence_of($f19(X161,X162),tptp3).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|next_subocc(X161,$f19(X161,X162),tptp0).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|occurrence_of($f18(X161,X162),tptp4).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|next_subocc($f19(X161,X162),$f18(X161,X162),tptp0).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|occurrence_of($f17(X161,X162),tptp2)|occurrence_of($f17(X161,X162),tptp1).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|next_subocc($f18(X161,X162),$f17(X161,X162),tptp0).
% 1.96/2.18  0 [] -occurrence_of(X162,tptp0)| -subactivity_occurrence(X161,X162)| -arboreal(X161)|leaf_occ(X161,X162)|leaf($f17(X161,X162),tptp0).
% 1.96/2.18  0 [] activity(tptp0).
% 1.96/2.18  0 [] -atomic(tptp0).
% 1.96/2.18  0 [] atomic(tptp4).
% 1.96/2.18  0 [] atomic(tptp2).
% 1.96/2.18  0 [] atomic(tptp1).
% 1.96/2.18  0 [] atomic(tptp3).
% 1.96/2.18  0 [] tptp4!=tptp3.
% 1.96/2.18  0 [] tptp4!=tptp2.
% 1.96/2.18  0 [] tptp4!=tptp1.
% 1.96/2.18  0 [] tptp3!=tptp2.
% 1.96/2.18  0 [] tptp3!=tptp1.
% 1.96/2.18  0 [] tptp2!=tptp1.
% 1.96/2.18  0 [] occurrence_of($c1,tptp0).
% 1.96/2.18  0 [] subactivity_occurrence($c2,$c1).
% 1.96/2.18  0 [] arboreal($c2).
% 1.96/2.18  0 [] -leaf_occ($c2,$c1).
% 1.96/2.18  0 [] -occurrence_of(X168,tptp3)| -next_subocc($c2,X168,tptp0)| -occurrence_of(X169,tptp2)| -min_precedes(X168,X169,tptp0)| -leaf(X169,tptp0).
% 1.96/2.18  0 [] -occurrence_of(X168,tptp3)| -next_subocc($c2,X168,tptp0)| -occurrence_of(X169,tptp1)| -min_precedes(X168,X169,tptp0)| -leaf(X169,tptp0).
% 1.96/2.18  end_of_list.
% 1.96/2.18  
% 1.96/2.18  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.96/2.18  
% 1.96/2.18  This ia a non-Horn set with equality.  The strategy will be
% 1.96/2.18  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.96/2.18  deletion, with positive clauses in sos and nonpositive
% 1.96/2.18  clauses in usable.
% 1.96/2.18  
% 1.96/2.18     dependent: set(knuth_bendix).
% 1.96/2.18     dependent: set(anl_eq).
% 1.96/2.18     dependent: set(para_from).
% 1.96/2.18     dependent: set(para_into).
% 1.96/2.18     dependent: clear(para_from_right).
% 1.96/2.18     dependent: clear(para_into_right).
% 1.96/2.18     dependent: set(para_from_vars).
% 1.96/2.18     dependent: set(eq_units_both_ways).
% 1.96/2.18     dependent: set(dynamic_demod_all).
% 1.96/2.18     dependent: set(dynamic_demod).
% 1.96/2.18     dependent: set(order_eq).
% 1.96/2.18     dependent: set(back_demod).
% 1.96/2.18     dependent: set(lrpo).
% 1.96/2.18     dependent: set(hyper_res).
% 1.96/2.18     dependent: set(unit_deletion).
% 1.96/2.18     dependent: set(factor).
% 1.96/2.18  
% 1.96/2.18  ------------> process usable:
% 1.96/2.18  ** KEPT (pick-wt=5): 1 [] -occurrence_of(A,B)|activity(B).
% 1.96/2.18  ** KEPT (pick-wt=5): 2 [] -occurrence_of(A,B)|activity_occurrence(A).
% 1.96/2.18  ** KEPT (pick-wt=5): 3 [] -activity_occurrence(A)|activity($f1(A)).
% 1.96/2.18  ** KEPT (pick-wt=6): 4 [] -activity_occurrence(A)|occurrence_of(A,$f1(A)).
% 1.96/2.18  ** KEPT (pick-wt=9): 5 [] -occurrence_of(A,B)| -occurrence_of(A,C)|B=C.
% 1.96/2.18  ** KEPT (pick-wt=5): 6 [] -activity(A)|subactivity(A,A).
% 1.96/2.18  ** KEPT (pick-wt=6): 7 [] -earlier(A,B)| -earlier(B,A).
% 1.96/2.18  ** KEPT (pick-wt=9): 8 [] -earlier(A,B)| -earlier(B,C)|earlier(A,C).
% 1.96/2.18  ** KEPT (pick-wt=15): 9 [] -earlier(A,B)| -earlier(C,B)|earlier(C,A)|earlier(A,C)|A=C.
% 1.96/2.18  ** KEPT (pick-wt=7): 10 [] -occurrence_of(A,B)| -arboreal(A)|atomic(B).
% 1.96/2.18  ** KEPT (pick-wt=7): 11 [] -occurrence_of(A,B)|arboreal(A)| -atomic(B).
% 1.96/2.18  ** KEPT (pick-wt=4): 12 [] -legal(A)|arboreal(A).
% 1.96/2.18  ** KEPT (pick-wt=7): 13 [] -legal(A)| -earlier(B,A)|legal(B).
% 1.96/2.18  ** KEPT (pick-wt=6): 14 [] -precedes(A,B)|earlier(A,B).
% 1.96/2.18  ** KEPT (pick-wt=5): 15 [] -precedes(A,B)|legal(B).
% 1.96/2.18  ** KEPT (pick-wt=8): 16 [] precedes(A,B)| -earlier(A,B)| -legal(B).
% 1.96/2.18  ** KEPT (pick-wt=10): 17 [] -min_precedes(A,B,C)|subactivity($f3(C,A,B),C).
% 1.96/2.18  ** KEPT (pick-wt=10): 18 [] -min_precedes(A,B,C)|subactivity($f2(C,A,B),C).
% 1.96/2.18  ** KEPT (pick-wt=10): 19 [] -min_precedes(A,B,C)|atocc(A,$f3(C,A,B)).
% 1.96/2.18  ** KEPT (pick-wt=10): 20 [] -min_precedes(A,B,C)|atocc(B,$f2(C,A,B)).
% 1.96/2.18  ** KEPT (pick-wt=8): 21 [] -root(A,B)|subactivity($f4(B,A),B).
% 1.96/2.18  ** KEPT (pick-wt=8): 22 [] -root(A,B)|atocc(A,$f4(B,A)).
% 1.96/2.18  ** KEPT (pick-wt=10): 23 [] -min_precedes(A,B,C)|root($f5(A,B,C),C).
% 1.96/2.18  ** KEPT (pick-wt=11): 24 [] -min_precedes(A,B,C)|min_precedes($f5(A,B,C),B,C).
% 1.96/2.18  ** KEPT (pick-wt=7): 25 [] -min_precedes(A,B,C)| -root(B,C).
% 1.96/2.18  ** KEPT (pick-wt=7): 26 [] -min_precedes(A,B,C)|precedes(A,B).
% 1.96/2.18  ** KEPT (pick-wt=5): 27 [] -root(A,B)|legal(A).
% 1.96/2.18  ** KEPT (pick-wt=8): 28 [] -atocc(A,B)| -legal(A)|root(A,B).
% 1.96/2.18  ** KEPT (pick-wt=15): 29 [] -min_precedes(A,B,C)| -min_precedes(A,D,C)| -precedes(B,D)|min_precedes(B,D,C).
% 1.96/2.18  ** KEPT (pick-wt=6): 30 [] -min_precedes(A,B,C)| -atomic(C).
% 1.96/2.18  ** KEPT (pick-wt=15): 31 [] -min_precedes(A,B,C)| -min_precedes(D,B,C)| -precedes(A,D)|min_precedes(A,D,C).
% 1.96/2.18  ** KEPT (pick-wt=12): 32 [] -leaf(A,B)|root(A,B)|min_precedes($f6(A,B),A,B).
% 1.96/2.18  ** KEPT (pick-wt=7): 33 [] -leaf(A,B)| -min_precedes(A,C,B).
% 1.96/2.18  ** KEPT (pick-wt=12): 34 [] leaf(A,B)| -root(A,B)|min_precedes(A,$f7(A,B),B).
% 1.96/2.18  ** KEPT (pick-wt=13): 35 [] leaf(A,B)| -min_precedes(C,A,B)|min_precedes(A,$f7(A,B),B).
% 1.96/2.18  ** KEPT (pick-wt=8): 36 [] -next_subocc(A,B,C)|min_precedes(A,B,C).
% 1.96/2.18  ** KEPT (pick-wt=12): 37 [] -next_subocc(A,B,C)| -min_precedes(A,D,C)| -min_precedes(D,B,C).
% 1.96/2.18  ** KEPT (pick-wt=15): 38 [] next_subocc(A,B,C)| -min_precedes(A,B,C)|min_precedes(A,$f8(A,B,C),C).
% 1.96/2.18  ** KEPT (pick-wt=15): 39 [] next_subocc(A,B,C)| -min_precedes(A,B,C)|min_precedes($f8(A,B,C),B,C).
% 1.96/2.18  ** KEPT (pick-wt=8): 40 [] -atocc(A,B)|subactivity(B,$f9(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=7): 41 [] -atocc(A,B)|atomic($f9(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=8): 42 [] -atocc(A,B)|occurrence_of(A,$f9(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=11): 43 [] atocc(A,B)| -subactivity(B,C)| -atomic(C)| -occurrence_of(A,C).
% 1.96/2.18  ** KEPT (pick-wt=5): 44 [] -subactivity_occurrence(A,B)|activity_occurrence(A).
% 1.96/2.18  ** KEPT (pick-wt=5): 45 [] -subactivity_occurrence(A,B)|activity_occurrence(B).
% 1.96/2.18  ** KEPT (pick-wt=10): 46 [] -min_precedes(A,B,C)|occurrence_of($f10(C,A,B),C).
% 1.96/2.18  ** KEPT (pick-wt=10): 47 [] -min_precedes(A,B,C)|subactivity_occurrence(A,$f10(C,A,B)).
% 1.96/2.18  ** KEPT (pick-wt=10): 48 [] -min_precedes(A,B,C)|subactivity_occurrence(B,$f10(C,A,B)).
% 1.96/2.18  ** KEPT (pick-wt=10): 49 [] -root(A,B)|atomic(B)|occurrence_of($f11(B,A),B).
% 1.96/2.18  ** KEPT (pick-wt=10): 50 [] -root(A,B)|atomic(B)|subactivity_occurrence(A,$f11(B,A)).
% 1.96/2.18  ** KEPT (pick-wt=10): 51 [] -occurrence_of(A,B)|atomic(B)|root($f12(B,A),B).
% 1.96/2.18  ** KEPT (pick-wt=10): 52 [] -occurrence_of(A,B)|atomic(B)|subactivity_occurrence($f12(B,A),A).
% 1.96/2.18  ** KEPT (pick-wt=24): 53 [] -occurrence_of(A,B)| -arboreal(C)| -arboreal(D)| -subactivity_occurrence(C,A)| -subactivity_occurrence(D,A)|min_precedes(C,D,B)|min_precedes(D,C,B)|C=D.
% 1.96/2.18  ** KEPT (pick-wt=13): 54 [] -min_precedes(A,B,C)| -occurrence_of(D,C)| -subactivity_occurrence(B,D)|subactivity_occurrence(A,D).
% 1.96/2.18  ** KEPT (pick-wt=14): 55 [] -occurrence_of(A,B)| -occurrence_of(C,D)|atomic(B)| -subactivity_occurrence(A,C)|subactivity(B,D).
% 1.96/2.18  ** KEPT (pick-wt=9): 56 [] -subactivity_occurrence(A,B)| -subactivity_occurrence(B,C)|subactivity_occurrence(A,C).
% 1.96/2.18  ** KEPT (pick-wt=19): 57 [] -occurrence_of(A,B)| -occurrence_of(C,D)| -subactivity(B,D)|subactivity_occurrence(A,C)|subactivity_occurrence($f13(B,D,A,C),C).
% 1.96/2.18  ** KEPT (pick-wt=19): 58 [] -occurrence_of(A,B)| -occurrence_of(C,D)| -subactivity(B,D)|subactivity_occurrence(A,C)| -subactivity_occurrence($f13(B,D,A,C),A).
% 1.96/2.18  ** KEPT (pick-wt=8): 59 [] -root_occ(A,B)|occurrence_of(B,$f14(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=6): 60 [] -root_occ(A,B)|subactivity_occurrence(A,B).
% 1.96/2.18  ** KEPT (pick-wt=8): 61 [] -root_occ(A,B)|root(A,$f14(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=12): 62 [] root_occ(A,B)| -occurrence_of(B,C)| -subactivity_occurrence(A,B)| -root(A,C).
% 1.96/2.18  ** KEPT (pick-wt=8): 63 [] -leaf_occ(A,B)|occurrence_of(B,$f15(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=6): 64 [] -leaf_occ(A,B)|subactivity_occurrence(A,B).
% 1.96/2.18  ** KEPT (pick-wt=8): 65 [] -leaf_occ(A,B)|leaf(A,$f15(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=12): 66 [] leaf_occ(A,B)| -occurrence_of(B,C)| -subactivity_occurrence(A,B)| -leaf(A,C).
% 1.96/2.18  ** KEPT (pick-wt=12): 67 [] -occurrence_of(A,B)| -root_occ(C,A)| -root_occ(D,A)|C=D.
% 1.96/2.18  ** KEPT (pick-wt=14): 68 [] -occurrence_of(A,B)|atomic(B)| -leaf_occ(C,A)| -leaf_occ(D,A)|C=D.
% 1.96/2.18  ** KEPT (pick-wt=10): 69 [] -occurrence_of(A,B)| -leaf_occ(C,A)| -min_precedes(C,D,B).
% 1.96/2.18  ** KEPT (pick-wt=10): 70 [] -occurrence_of(A,B)| -root_occ(C,A)| -min_precedes(D,C,B).
% 1.96/2.18  ** KEPT (pick-wt=20): 71 [] -next_subocc(A,B,C)| -next_subocc(A,D,C)| -occurrence_of(E,C)| -subactivity_occurrence(D,E)| -subactivity_occurrence(B,E)|B=D.
% 1.96/2.18  ** KEPT (pick-wt=11): 72 [] -next_subocc(A,B,C)| -next_subocc(D,B,C)|A=D.
% 1.96/2.18  ** KEPT (pick-wt=16): 73 [] -occurrence_of(A,B)| -leaf_occ(C,A)| -root_occ(D,A)|C=D|min_precedes(D,C,B).
% 1.96/2.18  ** KEPT (pick-wt=18): 74 [] -occurrence_of(A,B)| -subactivity_occurrence(C,A)| -root_occ(D,A)| -arboreal(C)|min_precedes(D,C,B)|D=C.
% 1.96/2.18  ** KEPT (pick-wt=18): 75 [] -occurrence_of(A,B)| -subactivity_occurrence(C,A)| -leaf_occ(D,A)| -arboreal(C)|min_precedes(C,D,B)|D=C.
% 1.96/2.18  ** KEPT (pick-wt=6): 76 [] -next_subocc(A,B,C)|arboreal(A).
% 1.96/2.18  ** KEPT (pick-wt=6): 77 [] -next_subocc(A,B,C)|arboreal(B).
% 1.96/2.18  ** KEPT (pick-wt=10): 78 [] -leaf(A,B)|atomic(B)|occurrence_of($f16(A,B),B).
% 1.96/2.18  ** KEPT (pick-wt=10): 79 [] -leaf(A,B)|atomic(B)|leaf_occ(A,$f16(A,B)).
% 1.96/2.18  ** KEPT (pick-wt=6): 80 [] -min_precedes(A,B,C)|arboreal(A).
% 1.96/2.18  ** KEPT (pick-wt=23): 81 [] -occurrence_of(A,B)| -root_occ(C,A)| -leaf_occ(D,A)| -subactivity_occurrence(E,A)| -min_precedes(E,D,B)|E=C|min_precedes(C,E,B).
% 1.96/2.18  ** KEPT (pick-wt=23): 82 [] -occurrence_of(A,B)| -root_occ(C,A)| -leaf_occ(D,A)| -subactivity_occurrence(E,A)| -min_precedes(C,E,B)|E=D|min_precedes(E,D,B).
% 1.96/2.18  ** KEPT (pick-wt=16): 83 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|occurrence_of($f19(B,A),tptp3).
% 1.96/2.18  ** KEPT (pick-wt=17): 84 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|next_subocc(B,$f19(B,A),tptp0).
% 1.96/2.18  ** KEPT (pick-wt=16): 85 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|occurrence_of($f18(B,A),tptp4).
% 1.96/2.18  ** KEPT (pick-wt=19): 86 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|next_subocc($f19(B,A),$f18(B,A),tptp0).
% 1.96/2.18  ** KEPT (pick-wt=21): 87 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|occurrence_of($f17(B,A),tptp2)|occurrence_of($f17(B,A),tptp1).
% 1.96/2.18  ** KEPT (pick-wt=19): 88 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|next_subocc($f18(B,A),$f17(B,A),tptp0).
% 1.96/2.18  ** KEPT (pick-wt=16): 89 [] -occurrence_of(A,tptp0)| -subactivity_occurrence(B,A)| -arboreal(B)|leaf_occ(B,A)|leaf($f17(B,A),tptp0).
% 1.96/2.18  ** KEPT (pick-wt=2): 90 [] -atomic(tptp0).
% 1.96/2.18  ** KEPT (pick-wt=3): 91 [] tptp4!=tptp3.
% 1.96/2.18  ** KEPT (pick-wt=3): 92 [] tptp4!=tptp2.
% 1.96/2.18  ** KEPT (pick-wt=3): 93 [] tptp4!=tptp1.
% 1.96/2.18  ** KEPT (pick-wt=3): 94 [] tptp3!=tptp2.
% 1.96/2.18  ** KEPT (pick-wt=3): 95 [] tptp3!=tptp1.
% 1.96/2.18  ** KEPT (pick-wt=3): 96 [] tptp2!=tptp1.
% 1.96/2.18  ** KEPT (pick-wt=3): 97 [] -leaf_occ($c2,$c1).
% 1.96/2.18  ** KEPT (pick-wt=17): 98 [] -occurrence_of(A,tptp3)| -next_subocc($c2,A,tptp0)| -occurrence_of(B,tptp2)| -min_precedes(A,B,tptp0)| -leaf(B,tptp0).
% 1.96/2.18  ** KEPT (pick-wt=17): 99 [] -occurrence_of(A,tptp3)| -next_subocc($c2,A,tptp0)| -occurrence_of(B,tptp1)| -min_precedes(A,B,tptp0)| -leaf(B,tptp0).
% 1.96/2.18  
% 1.96/2.18  ------------> process sos:
% 1.96/2.18  ** KEPT (pick-wt=3): 114 [] A=A.
% 1.96/2.18  ** KEPT (pick-wt=2): 115 [] activity(tptp0).
% 1.96/2.18  ** KEPT (pick-wt=2): 116 [] atomic(tptp4).
% 1.96/2.18  ** KEPT (pick-wt=2): 117 [] atomic(tptp2).
% 1.96/2.18  ** KEPT (pick-wt=2): 118 [] atomic(tptp1).
% 1.96/2.18  ** KEPT (pick-wt=2): 119 [] atomic(tptp3).
% 1.96/2.18  ** KEPT (pick-wt=3): 120 [] occurrence_of($c1,tptp0).
% 8.72/8.90  ** KEPT (pick-wt=3): 121 [] subactivity_occurrence($c2,$c1).
% 8.72/8.90  ** KEPT (pick-wt=2): 122 [] arboreal($c2).
% 8.72/8.90    Following clause subsumed by 114 during input processing: 0 [copy,114,flip.1] A=A.
% 8.72/8.90  114 back subsumes 113.
% 8.72/8.90  114 back subsumes 112.
% 8.72/8.90  114 back subsumes 111.
% 8.72/8.90  114 back subsumes 110.
% 8.72/8.90  114 back subsumes 106.
% 8.72/8.90  114 back subsumes 102.
% 8.72/8.90  114 back subsumes 100.
% 8.72/8.90  
% 8.72/8.90  ======= end of input processing =======
% 8.72/8.90  
% 8.72/8.90  =========== start of search ===========
% 8.72/8.90  
% 8.72/8.90  
% 8.72/8.90  Resetting weight limit to 10.
% 8.72/8.90  
% 8.72/8.90  
% 8.72/8.90  Resetting weight limit to 10.
% 8.72/8.90  
% 8.72/8.90  sos_size=1548
% 8.72/8.90  
% 8.72/8.90  -------- PROOF -------- 
% 8.72/8.90  
% 8.72/8.90  -----> EMPTY CLAUSE at   6.72 sec ----> 1991 [hyper,1980,98,237,236,1962,231] $F.
% 8.72/8.90  
% 8.72/8.90  Length of proof is 27.  Level of proof is 10.
% 8.72/8.90  
% 8.72/8.90  ---------------- PROOF ----------------
% 8.72/8.90  % SZS status Theorem
% 8.72/8.90  % SZS output start Refutation
% See solution above
% 8.72/8.90  ------------ end of proof -------------
% 8.72/8.90  
% 8.72/8.90  
% 8.72/8.90  Search stopped by max_proofs option.
% 8.72/8.90  
% 8.72/8.90  
% 8.72/8.90  Search stopped by max_proofs option.
% 8.72/8.90  
% 8.72/8.90  ============ end of search ============
% 8.72/8.90  
% 8.72/8.90  -------------- statistics -------------
% 8.72/8.90  clauses given               1192
% 8.72/8.90  clauses generated          92503
% 8.72/8.90  clauses kept                1980
% 8.72/8.90  clauses forward subsumed    3239
% 8.72/8.90  clauses back subsumed         31
% 8.72/8.90  Kbytes malloced             7812
% 8.72/8.90  
% 8.72/8.90  ----------- times (seconds) -----------
% 8.72/8.90  user CPU time          6.72          (0 hr, 0 min, 6 sec)
% 8.72/8.90  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 8.72/8.90  wall-clock time        9             (0 hr, 0 min, 9 sec)
% 8.72/8.90  
% 8.72/8.90  That finishes the proof of the theorem.
% 8.72/8.90  
% 8.72/8.90  Process 24096 finished Wed Jul 27 05:00:02 2022
% 8.72/8.90  Otter interrupted
% 8.72/8.90  PROOF FOUND
%------------------------------------------------------------------------------