TSTP Solution File: LCL656+1.005 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n014.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 13:04:55 EDT 2022

% Result   : Theorem 8.74s 8.97s
% Output   : Refutation 8.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   31 (   9 unt;  10 nHn;  30 RR)
%            Number of literals    :  140 (   0 equ; 101 neg)
%            Maximal clause size   :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-5 aty)
%            Number of variables   :   61 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ r1(C,D)
    | ~ r1(D,E)
    | p3(E) ),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ r1(C,D)
    | ~ r1(D,E)
    | r1(E,dollar_f7(A,B,C,D,E))
    | p102(E)
    | ~ p101(E) ),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(27,axiom,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ r1(C,D)
    | ~ r1(D,E)
    | ~ p3(dollar_f7(A,B,C,D,E))
    | p102(E)
    | ~ p101(E) ),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ r1(C,D)
    | ~ r1(D,E)
    | r1(E,dollar_f10(A,B,C,D,E))
    | p101(E)
    | ~ p100(E) ),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ r1(C,D)
    | ~ r1(D,E)
    | ~ p102(dollar_f10(A,B,C,D,E))
    | p101(E)
    | ~ p100(E) ),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ r1(C,D)
    | ~ r1(D,E)
    | p101(dollar_f10(A,B,C,D,E))
    | p101(E)
    | ~ p100(E) ),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(59,axiom,
    ~ p101(dollar_c1),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(67,plain,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,B)
    | ~ r1(B,C)
    | p3(C) ),
    inference(factor,[status(thm)],[1]),
    [iquote('factor,1.3.4')] ).

cnf(314,plain,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | r1(C,dollar_f7(A,A,A,B,C))
    | p102(C)
    | ~ p101(C) ),
    inference(factor,[status(thm)],[26]),
    [iquote('factor,26.2.3')] ).

cnf(324,plain,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ p3(dollar_f7(A,A,A,B,C))
    | p102(C)
    | ~ p101(C) ),
    inference(factor,[status(thm)],[27]),
    [iquote('factor,27.2.3')] ).

cnf(430,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | r1(C,dollar_f10(dollar_c1,dollar_c1,A,B,C))
    | p101(C)
    | ~ p100(C) ),
    inference(factor,[status(thm)],[38]),
    [iquote('factor,38.1.2')] ).

cnf(450,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | ~ p102(dollar_f10(dollar_c1,dollar_c1,A,B,C))
    | p101(C)
    | ~ p100(C) ),
    inference(factor,[status(thm)],[40]),
    [iquote('factor,40.1.2')] ).

cnf(460,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,C)
    | p101(dollar_f10(dollar_c1,dollar_c1,A,B,C))
    | p101(C)
    | ~ p100(C) ),
    inference(factor,[status(thm)],[41]),
    [iquote('factor,41.1.2')] ).

cnf(688,plain,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ r1(B,B)
    | p3(B) ),
    inference(factor,[status(thm)],[67]),
    [iquote('factor,67.3.4')] ).

cnf(1131,plain,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,A)
    | ~ r1(A,B)
    | r1(B,dollar_f7(A,A,A,A,B))
    | p102(B)
    | ~ p101(B) ),
    inference(factor,[status(thm)],[314]),
    [iquote('factor,314.2.3')] ).

cnf(1145,plain,
    ( ~ r1(dollar_c1,A)
    | ~ r1(A,A)
    | ~ r1(A,B)
    | ~ p3(dollar_f7(A,A,A,A,B))
    | p102(B)
    | ~ p101(B) ),
    inference(factor,[status(thm)],[324]),
    [iquote('factor,324.2.3')] ).

cnf(1305,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | r1(B,dollar_f10(dollar_c1,dollar_c1,dollar_c1,A,B))
    | p101(B)
    | ~ p100(B) ),
    inference(factor,[status(thm)],[430]),
    [iquote('factor,430.1.2')] ).

cnf(1341,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | ~ p102(dollar_f10(dollar_c1,dollar_c1,dollar_c1,A,B))
    | p101(B)
    | ~ p100(B) ),
    inference(factor,[status(thm)],[450]),
    [iquote('factor,450.1.2')] ).

cnf(1359,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ r1(dollar_c1,A)
    | ~ r1(A,B)
    | p101(dollar_f10(dollar_c1,dollar_c1,dollar_c1,A,B))
    | p101(B)
    | ~ p100(B) ),
    inference(factor,[status(thm)],[460]),
    [iquote('factor,460.1.2')] ).

cnf(1688,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | r1(dollar_c1,dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1))
    | ~ p100(dollar_c1) ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[1305]),59])]),
    [iquote('factor,1305.1.3,unit_del,59,factor_simp')] ).

cnf(1690,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | ~ p102(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1))
    | ~ p100(dollar_c1) ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[1341]),59])]),
    [iquote('factor,1341.1.3,unit_del,59,factor_simp')] ).

cnf(1691,plain,
    ( ~ r1(dollar_c1,dollar_c1)
    | p101(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1))
    | ~ p100(dollar_c1) ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[1359]),59])]),
    [iquote('factor,1359.1.3,unit_del,59,factor_simp')] ).

cnf(1692,axiom,
    r1(A,A),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(1693,axiom,
    p100(dollar_c1),
    file('LCL656+1.005.p',unknown),
    [] ).

cnf(1695,plain,
    p101(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1)),
    inference(hyper,[status(thm)],[1693,1691,1692]),
    [iquote('hyper,1693,1691,1692')] ).

cnf(1697,plain,
    r1(dollar_c1,dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1)),
    inference(hyper,[status(thm)],[1693,1688,1692]),
    [iquote('hyper,1693,1688,1692')] ).

cnf(1723,plain,
    ( r1(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1),dollar_f7(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1)))
    | p102(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1)) ),
    inference(hyper,[status(thm)],[1697,1131,1692,1692,1695]),
    [iquote('hyper,1697,1131,1692,1692,1695')] ).

cnf(1820,plain,
    r1(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1),dollar_f7(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1))),
    inference(hyper,[status(thm)],[1723,1690,1692,1693]),
    [iquote('hyper,1723,1690,1692,1693')] ).

cnf(1822,plain,
    p3(dollar_f7(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1))),
    inference(hyper,[status(thm)],[1820,688,1697,1692]),
    [iquote('hyper,1820,688,1697,1692')] ).

cnf(1825,plain,
    p102(dollar_f10(dollar_c1,dollar_c1,dollar_c1,dollar_c1,dollar_c1)),
    inference(hyper,[status(thm)],[1822,1145,1692,1692,1697,1695]),
    [iquote('hyper,1822,1145,1692,1692,1697,1695')] ).

cnf(1826,plain,
    $false,
    inference(hyper,[status(thm)],[1825,1690,1692,1693]),
    [iquote('hyper,1825,1690,1692,1693')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 09:30:24 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.82/2.03  ----- Otter 3.3f, August 2004 -----
% 1.82/2.03  The process was started by sandbox2 on n014.cluster.edu,
% 1.82/2.03  Wed Jul 27 09:30:24 2022
% 1.82/2.03  The command was "./otter".  The process ID is 26361.
% 1.82/2.03  
% 1.82/2.03  set(prolog_style_variables).
% 1.82/2.03  set(auto).
% 1.82/2.03     dependent: set(auto1).
% 1.82/2.03     dependent: set(process_input).
% 1.82/2.03     dependent: clear(print_kept).
% 1.82/2.03     dependent: clear(print_new_demod).
% 1.82/2.03     dependent: clear(print_back_demod).
% 1.82/2.03     dependent: clear(print_back_sub).
% 1.82/2.03     dependent: set(control_memory).
% 1.82/2.03     dependent: assign(max_mem, 12000).
% 1.82/2.03     dependent: assign(pick_given_ratio, 4).
% 1.82/2.03     dependent: assign(stats_level, 1).
% 1.82/2.03     dependent: assign(max_seconds, 10800).
% 1.82/2.03  clear(print_given).
% 1.82/2.03  
% 1.82/2.03  formula_list(usable).
% 1.82/2.03  all X r1(X,X).
% 1.82/2.03  -(-(exists X (-(-(all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)|p3(Y)))))))))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (-(all X (-r1(Y,X)| -(-p6(X)& -p106(X)&p105(X))))& -(all X (-r1(Y,X)| -(p6(X)& -p106(X)&p105(X))))| -(-p105(Y)&p104(Y)))& (-(all X (-r1(Y,X)| -(-p5(X)& -p105(X)&p104(X))))& -(all X (-r1(Y,X)| -(p5(X)& -p105(X)&p104(X))))| -(-p104(Y)&p103(Y)))& (-(all X (-r1(Y,X)| -(-p4(X)& -p104(X)&p103(X))))& -(all X (-r1(Y,X)| -(p4(X)& -p104(X)&p103(X))))| -(-p103(Y)&p102(Y)))& (-(all X (-r1(Y,X)| -(-p3(X)& -p103(X)&p102(X))))& -(all X (-r1(Y,X)| -(p3(X)& -p103(X)&p102(X))))| -(-p102(Y)&p101(Y)))& (-(all X (-r1(Y,X)| -(-p2(X)& -p102(X)&p101(X))))& -(all X (-r1(Y,X)| -(p2(X)& -p102(X)&p101(X))))| -(-p101(Y)&p100(Y)))& (((all X (-r1(Y,X)| -p6(X)| -p105(X)))|p6(Y))& ((all X (-r1(Y,X)|p6(X)| -p105(X)))| -p6(Y))| -p105(Y))& (((all X (-r1(Y,X)| -p5(X)| -p104(X)))|p5(Y))& ((all X (-r1(Y,X)|p5(X)| -p104(X)))| -p5(Y))| -p104(Y))& (((all X (-r1(Y,X)| -p4(X)| -p103(X)))|p4(Y))& ((all X (-r1(Y,X)|p4(X)| -p103(X)))| -p4(Y))| -p103(Y))& (((all X (-r1(Y,X)| -p3(X)| -p102(X)))|p3(Y))& ((all X (-r1(Y,X)|p3(X)| -p102(X)))| -p3(Y))| -p102(Y))& (((all X (-r1(Y,X)| -p2(X)| -p101(X)))|p2(Y))& ((all X (-r1(Y,X)|p2(X)| -p101(X)))| -p2(Y))| -p101(Y))& (((all X (-r1(Y,X)| -p1(X)| -p100(X)))|p1(Y))& ((all X (-r1(Y,X)|p1(X)| -p100(X)))| -p1(Y))| -p100(Y))& (p105(Y)| -p106(Y))& (p104(Y)| -p105(Y))& (p103(Y)| -p104(Y))& (p102(Y)| -p103(Y))& (p101(Y)| -p102(Y))& (p100(Y)| -p101(Y))))))))))))& -p101(X)&p100(X)))))).
% 1.82/2.03  end_of_list.
% 1.82/2.03  
% 1.82/2.03  -------> usable clausifies to:
% 1.82/2.03  
% 1.82/2.03  list(usable).
% 1.82/2.03  0 [] r1(X,X).
% 1.82/2.03  0 [] -r1($c1,Y)| -r1(Y,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)|p3(X3).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f1(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p6($f1(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p106($f1(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p105($f1(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f2(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p6($f2(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p106($f2(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p105($f2(X19,X20,X4,X5,X6))|p105(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f3(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p5($f3(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p105($f3(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p104($f3(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f4(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p5($f4(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p105($f4(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p104($f4(X19,X20,X4,X5,X6))|p104(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f5(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p4($f5(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p104($f5(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p103($f5(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f6(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p4($f6(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p104($f6(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p103($f6(X19,X20,X4,X5,X6))|p103(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f7(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p3($f7(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p103($f7(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p102($f7(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f8(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p3($f8(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p103($f8(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p102($f8(X19,X20,X4,X5,X6))|p102(X6)| -p101(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f9(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p2($f9(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p102($f9(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p101($f9(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|r1(X6,$f10(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p2($f10(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -p102($f10(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p101($f10(X19,X20,X4,X5,X6))|p101(X6)| -p100(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X7)| -p6(X7)| -p105(X7)|p6(X6)| -p105(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X8)|p6(X8)| -p105(X8)| -p6(X6)| -p105(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X9)| -p5(X9)| -p104(X9)|p5(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X10)|p5(X10)| -p104(X10)| -p5(X6)| -p104(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X11)| -p4(X11)| -p103(X11)|p4(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X12)|p4(X12)| -p103(X12)| -p4(X6)| -p103(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X13)| -p3(X13)| -p102(X13)|p3(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X14)|p3(X14)| -p102(X14)| -p3(X6)| -p102(X6).
% 1.82/2.03  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X15)| -p2(X15)| -p101(X15)|p2(X6)| -p101(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X16)|p2(X16)| -p101(X16)| -p2(X6)| -p101(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X17)| -p1(X17)| -p100(X17)|p1(X6)| -p100(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)| -r1(X6,X18)|p1(X18)| -p100(X18)| -p1(X6)| -p100(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p105(X6)| -p106(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p104(X6)| -p105(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p103(X6)| -p104(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p102(X6)| -p103(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p101(X6)| -p102(X6).
% 1.82/2.04  0 [] -r1($c1,X19)| -r1(X19,X20)| -r1(X20,X4)| -r1(X4,X5)| -r1(X5,X6)|p100(X6)| -p101(X6).
% 1.82/2.04  0 [] -p101($c1).
% 1.82/2.04  0 [] p100($c1).
% 1.82/2.04  end_of_list.
% 1.82/2.04  
% 1.82/2.04  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 1.82/2.04  
% 1.82/2.04  This is a non-Horn set without equality.  The strategy will
% 1.82/2.04  be ordered hyper_res, unit deletion, and factoring, with
% 1.82/2.04  satellites in sos and with nuclei in usable.
% 1.82/2.04  
% 1.82/2.04     dependent: set(hyper_res).
% 1.82/2.04     dependent: set(factor).
% 1.82/2.04     dependent: set(unit_deletion).
% 1.82/2.04  
% 1.82/2.04  ------------> process usable:
% 1.82/2.04  ** KEPT (pick-wt=17): 1 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p3(E).
% 1.82/2.04  ** KEPT (pick-wt=27): 2 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f1(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 3 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p6($f1(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 4 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p106($f1(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 5 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p105($f1(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=27): 6 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f2(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 7 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p6($f2(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 8 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p106($f2(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 9 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p105($f2(A,B,C,D,E))|p105(E)| -p104(E).
% 1.82/2.04  ** KEPT (pick-wt=27): 10 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f3(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 11 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p5($f3(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 12 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p105($f3(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 13 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p104($f3(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=27): 14 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f4(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 15 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p5($f4(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 16 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p105($f4(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 17 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p104($f4(A,B,C,D,E))|p104(E)| -p103(E).
% 1.82/2.04  ** KEPT (pick-wt=27): 18 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f5(A,B,C,D,E))|p103(E)| -p102(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 19 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p4($f5(A,B,C,D,E))|p103(E)| -p102(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 20 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p104($f5(A,B,C,D,E))|p103(E)| -p102(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 21 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p103($f5(A,B,C,D,E))|p103(E)| -p102(E).
% 1.82/2.04  ** KEPT (pick-wt=27): 22 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f6(A,B,C,D,E))|p103(E)| -p102(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 23 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p4($f6(A,B,C,D,E))|p103(E)| -p102(E).
% 1.82/2.04  ** KEPT (pick-wt=26): 24 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p104($f6(A,B,C,D,E))|p103(E)| -p102(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 25 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p103($f6(A,B,C,D,E))|p103(E)| -p102(E).
% 6.79/7.00  ** KEPT (pick-wt=27): 26 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f7(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 27 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p3($f7(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 28 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p103($f7(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 29 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p102($f7(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=27): 30 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f8(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 31 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p3($f8(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 32 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p103($f8(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 33 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p102($f8(A,B,C,D,E))|p102(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=27): 34 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f9(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 35 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p2($f9(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 36 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p102($f9(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 37 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p101($f9(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=27): 38 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f10(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 39 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p2($f10(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 40 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p102($f10(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 41 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p101($f10(A,B,C,D,E))|p101(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 42 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p6(F)| -p105(F)|p6(E)| -p105(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 43 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)|p6(F)| -p105(F)| -p6(E)| -p105(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 44 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p5(F)| -p104(F)|p5(E)| -p104(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 45 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)|p5(F)| -p104(F)| -p5(E)| -p104(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 46 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p4(F)| -p103(F)|p4(E)| -p103(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 47 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)|p4(F)| -p103(F)| -p4(E)| -p103(E).
% 6.79/7.00    Following clause subsumed by 1 during input processing: 0 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p3(F)| -p102(F)|p3(E)| -p102(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 48 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)|p3(F)| -p102(F)| -p3(E)| -p102(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 49 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p2(F)| -p101(F)|p2(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 50 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)|p2(F)| -p101(F)| -p2(E)| -p101(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 51 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p1(F)| -p100(F)|p1(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=26): 52 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)|p1(F)| -p100(F)| -p1(E)| -p100(E).
% 6.79/7.00  ** KEPT (pick-wt=19): 53 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p105(E)| -p106(E).
% 6.79/7.00  ** KEPT (pick-wt=19): 54 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p104(E)| -p105(E).
% 6.79/7.00  ** KEPT (pick-wt=19): 55 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p103(E)| -p104(E).
% 6.79/7.00  ** KEPT (pick-wt=19): 56 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p102(E)| -p103(E).
% 6.79/7.00  ** KEPT (pick-wt=19): 57 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p101(E)| -p102(E).
% 8.74/8.97  ** KEPT (pick-wt=19): 58 [] -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p100(E)| -p101(E).
% 8.74/8.97  ** KEPT (pick-wt=2): 59 [] -p101($c1).
% 8.74/8.97  685 back subsumes 683.
% 8.74/8.97  1394 back subsumes 1386.
% 8.74/8.97  1394 back subsumes 1383.
% 8.74/8.97  1399 back subsumes 1393.
% 8.74/8.97  1400 back subsumes 1398.
% 8.74/8.97  1401 back subsumes 1391.
% 8.74/8.97  1405 back subsumes 1381.
% 8.74/8.97  1417 back subsumes 1410.
% 8.74/8.97  1417 back subsumes 1407.
% 8.74/8.97  1421 back subsumes 1416.
% 8.74/8.97  1441 back subsumes 1433.
% 8.74/8.97  1441 back subsumes 1430.
% 8.74/8.97  1446 back subsumes 1440.
% 8.74/8.97  1447 back subsumes 1445.
% 8.74/8.97  1448 back subsumes 1438.
% 8.74/8.97  1452 back subsumes 1428.
% 8.74/8.97  1464 back subsumes 1457.
% 8.74/8.97  1464 back subsumes 1454.
% 8.74/8.97  1468 back subsumes 1463.
% 8.74/8.97  1488 back subsumes 1480.
% 8.74/8.97  1488 back subsumes 1477.
% 8.74/8.97  1493 back subsumes 1487.
% 8.74/8.97  1494 back subsumes 1492.
% 8.74/8.97  1495 back subsumes 1485.
% 8.74/8.97  1499 back subsumes 1475.
% 8.74/8.97  1511 back subsumes 1504.
% 8.74/8.97  1511 back subsumes 1501.
% 8.74/8.97  1515 back subsumes 1510.
% 8.74/8.97  1535 back subsumes 1533.
% 8.74/8.97  1541 back subsumes 1539.
% 8.74/8.97  1550 back subsumes 1548.
% 8.74/8.97  1574 back subsumes 1566.
% 8.74/8.97  1574 back subsumes 1563.
% 8.74/8.97  1579 back subsumes 1573.
% 8.74/8.97  1580 back subsumes 1578.
% 8.74/8.97  1581 back subsumes 1571.
% 8.74/8.97  1585 back subsumes 1561.
% 8.74/8.97  1597 back subsumes 1590.
% 8.74/8.97  1597 back subsumes 1587.
% 8.74/8.97  1601 back subsumes 1596.
% 8.74/8.97  1611 back subsumes 1609.
% 8.74/8.97  1622 back subsumes 1620.
% 8.74/8.97  1633 back subsumes 1631.
% 8.74/8.97  1644 back subsumes 1642.
% 8.74/8.97  1650 back subsumes 1112.
% 8.74/8.97  1650 back subsumes 1105.
% 8.74/8.97  1650 back subsumes 1094.
% 8.74/8.97  1650 back subsumes 1087.
% 8.74/8.97  1650 back subsumes 1076.
% 8.74/8.97  1650 back subsumes 1069.
% 8.74/8.97  1650 back subsumes 1058.
% 8.74/8.97  1650 back subsumes 1051.
% 8.74/8.97  1650 back subsumes 1040.
% 8.74/8.97  1650 back subsumes 1033.
% 8.74/8.97  1650 back subsumes 1022.
% 8.74/8.97  1650 back subsumes 1015.
% 8.74/8.97  1650 back subsumes 1004.
% 8.74/8.97  1650 back subsumes 997.
% 8.74/8.97  1650 back subsumes 986.
% 8.74/8.97  1650 back subsumes 979.
% 8.74/8.97  1653 back subsumes 1114.
% 8.74/8.97  1653 back subsumes 1110.
% 8.74/8.97  1653 back subsumes 1096.
% 8.74/8.97  1653 back subsumes 1092.
% 8.74/8.97  1653 back subsumes 1078.
% 8.74/8.97  1653 back subsumes 1074.
% 8.74/8.97  1653 back subsumes 1060.
% 8.74/8.97  1653 back subsumes 1056.
% 8.74/8.97  1653 back subsumes 1042.
% 8.74/8.97  1653 back subsumes 1038.
% 8.74/8.97  1653 back subsumes 1024.
% 8.74/8.97  1653 back subsumes 1020.
% 8.74/8.97  1653 back subsumes 1006.
% 8.74/8.97  1653 back subsumes 1002.
% 8.74/8.97  1653 back subsumes 988.
% 8.74/8.97  1653 back subsumes 984.
% 8.74/8.97  
% 8.74/8.97  ------------> process sos:
% 8.74/8.97  ** KEPT (pick-wt=3): 1692 [] r1(A,A).
% 8.74/8.97  ** KEPT (pick-wt=2): 1693 [] p100($c1).
% 8.74/8.97  
% 8.74/8.97  ======= end of input processing =======
% 8.74/8.97  
% 8.74/8.97  =========== start of search ===========
% 8.74/8.97  
% 8.74/8.97  
% 8.74/8.97  Resetting weight limit to 25.
% 8.74/8.97  
% 8.74/8.97  
% 8.74/8.97  Resetting weight limit to 25.
% 8.74/8.97  
% 8.74/8.97  sos_size=85
% 8.74/8.97  
% 8.74/8.97  -------- PROOF -------- 
% 8.74/8.97  
% 8.74/8.97  -----> EMPTY CLAUSE at   6.97 sec ----> 1826 [hyper,1825,1690,1692,1693] $F.
% 8.74/8.97  
% 8.74/8.97  Length of proof is 21.  Level of proof is 8.
% 8.74/8.97  
% 8.74/8.97  ---------------- PROOF ----------------
% 8.74/8.97  % SZS status Theorem
% 8.74/8.97  % SZS output start Refutation
% See solution above
% 8.74/8.97  ------------ end of proof -------------
% 8.74/8.97  
% 8.74/8.97  
% 8.74/8.97  Search stopped by max_proofs option.
% 8.74/8.97  
% 8.74/8.97  
% 8.74/8.97  Search stopped by max_proofs option.
% 8.74/8.97  
% 8.74/8.97  ============ end of search ============
% 8.74/8.97  
% 8.74/8.97  -------------- statistics -------------
% 8.74/8.97  clauses given                 52
% 8.74/8.97  clauses generated          15229
% 8.74/8.97  clauses kept                1825
% 8.74/8.97  clauses forward subsumed   10823
% 8.74/8.97  clauses back subsumed        113
% 8.74/8.97  Kbytes malloced             4882
% 8.74/8.97  
% 8.74/8.97  ----------- times (seconds) -----------
% 8.74/8.97  user CPU time          6.97          (0 hr, 0 min, 6 sec)
% 8.74/8.97  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 8.74/8.97  wall-clock time        8             (0 hr, 0 min, 8 sec)
% 8.74/8.97  
% 8.74/8.97  That finishes the proof of the theorem.
% 8.74/8.97  
% 8.74/8.97  Process 26361 finished Wed Jul 27 09:30:32 2022
% 8.74/8.97  Otter interrupted
% 8.74/8.97  PROOF FOUND
%------------------------------------------------------------------------------