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Otter---3.3.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n006.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 13:01:31 EDT 2022

% Result   : Theorem 1.89s 2.11s
% Output   : Refutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   48 (  13 unt;  22 nHn;  45 RR)
%            Number of literals    :  161 (  33 equ;  79 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( A != B
    | ~ cB(A)
    | cB(B) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ cowlNothing(A),
    file('KRS175+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ cA(A)
    | A = ia ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( cA(A)
    | A != ia ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ cA_and_B(A)
    | cA(A)
    | cB(A) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( cA_and_B(A)
    | ~ cA(A) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( cA_and_B(A)
    | ~ cB(A) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ cB(A)
    | A = ib ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(16,axiom,
    ( cB(A)
    | A != ib ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | cA_and_B(dollar_c3)
    | dollar_c3 = ib
    | dollar_c3 = ia
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(18,plain,
    ( ~ cowlThing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | cA_and_B(dollar_c3)
    | ib = dollar_c3
    | ia = dollar_c3
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[17]),8])])]),
    [iquote('copy,17,unit_del,8,flip.5,flip.6')] ).

cnf(19,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | dollar_c3 != ib
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(20,plain,
    ( ~ cowlThing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | ib != dollar_c3
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[19]),8])]),
    [iquote('copy,19,unit_del,8,flip.5')] ).

cnf(21,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | dollar_c3 != ia
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(22,plain,
    ( ~ cowlThing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | ia != dollar_c3
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[21]),8])]),
    [iquote('copy,21,unit_del,8,flip.5')] ).

cnf(23,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | cA_and_B(dollar_c3)
    | dollar_c3 = ib
    | dollar_c3 = ia
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(24,plain,
    ( ~ cowlThing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | cA_and_B(dollar_c3)
    | ib = dollar_c3
    | ia = dollar_c3
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[23]),8])])]),
    [iquote('copy,23,unit_del,8,flip.5,flip.6')] ).

cnf(25,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | dollar_c3 != ib
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(26,plain,
    ( ~ cowlThing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | ib != dollar_c3
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[25]),8])]),
    [iquote('copy,25,unit_del,8,flip.5')] ).

cnf(27,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | dollar_c3 != ia
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(28,plain,
    ( ~ cowlThing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ~ cA_and_B(dollar_c3)
    | ia != dollar_c3
    | ~ cowlThing(ia)
    | ~ cowlThing(ib) ),
    inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[27]),8])]),
    [iquote('copy,27,unit_del,8,flip.5')] ).

cnf(29,axiom,
    A = A,
    file('KRS175+1.p',unknown),
    [] ).

cnf(30,axiom,
    cowlThing(A),
    file('KRS175+1.p',unknown),
    [] ).

cnf(31,axiom,
    ( xsd_string(A)
    | xsd_integer(A) ),
    file('KRS175+1.p',unknown),
    [] ).

cnf(32,plain,
    cB(ib),
    inference(hyper,[status(thm)],[29,16]),
    [iquote('hyper,29,16')] ).

cnf(33,plain,
    cA(ia),
    inference(hyper,[status(thm)],[29,11]),
    [iquote('hyper,29,11')] ).

cnf(34,plain,
    cA_and_B(ib),
    inference(hyper,[status(thm)],[32,14]),
    [iquote('hyper,32,14')] ).

cnf(38,plain,
    cA_and_B(ia),
    inference(hyper,[status(thm)],[33,13]),
    [iquote('hyper,33,13')] ).

cnf(42,plain,
    ( cA_and_B(dollar_c3)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ia = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[34,24]),30,30,30])]),
    [iquote('para_into,34.1.1,24.5.1,unit_del,30,30,30,factor_simp')] ).

cnf(43,plain,
    ( cA_and_B(dollar_c3)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ia = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[34,18]),30,30,30])]),
    [iquote('para_into,34.1.1,18.5.1,unit_del,30,30,30,factor_simp')] ).

cnf(44,plain,
    ( cA_and_B(dollar_c3)
    | xsd_integer(dollar_c2)
    | ia = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[42,31])]),
    [iquote('hyper,42,31,factor_simp')] ).

cnf(49,plain,
    ( cA_and_B(dollar_c3)
    | xsd_integer(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[44,38])]),
    [iquote('para_from,44.3.1,38.1.1,factor_simp')] ).

cnf(55,plain,
    ( cA_and_B(dollar_c3)
    | xsd_string(dollar_c2)
    | ia = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[43,49])]),
    [iquote('hyper,43,49,factor_simp')] ).

cnf(56,plain,
    ( cA_and_B(dollar_c3)
    | ia = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[55,9,49])]),
    [iquote('hyper,55,9,49,factor_simp')] ).

cnf(62,plain,
    cA_and_B(dollar_c3),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[56,38])]),
    [iquote('para_from,56.2.1,38.1.1,factor_simp')] ).

cnf(63,plain,
    ( cA(dollar_c3)
    | cB(dollar_c3) ),
    inference(hyper,[status(thm)],[62,12]),
    [iquote('hyper,62,12')] ).

cnf(64,plain,
    ( cA(dollar_c3)
    | ib = dollar_c3 ),
    inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[63,15])]),
    [iquote('hyper,63,15,flip.2')] ).

cnf(65,plain,
    ( ib = dollar_c3
    | ia = dollar_c3 ),
    inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[64,10])]),
    [iquote('hyper,64,10,flip.2')] ).

cnf(75,plain,
    ( ia = dollar_c3
    | xsd_integer(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[65,26,30,31,62,30,30])]),
    [iquote('hyper,65,26,30,31,62,30,30,factor_simp')] ).

cnf(77,plain,
    ( ia = dollar_c3
    | cB(dollar_c3) ),
    inference(hyper,[status(thm)],[65,3,32]),
    [iquote('hyper,65,3,32')] ).

cnf(96,plain,
    ( ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[75,28]),30,62,29,30,30])]),
    [iquote('para_from,75.1.1,28.5.1,unit_del,30,62,29,30,30,factor_simp')] ).

cnf(99,plain,
    xsd_integer(dollar_c2),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[96,31])]),
    [iquote('hyper,96,31,factor_simp')] ).

cnf(116,plain,
    ( xsd_string(dollar_c2)
    | cB(dollar_c3) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[77,22]),30,99,62,29,30,30]),
    [iquote('para_from,77.1.1,22.5.1,unit_del,30,99,62,29,30,30')] ).

cnf(118,plain,
    cB(dollar_c3),
    inference(hyper,[status(thm)],[116,9,99]),
    [iquote('hyper,116,9,99')] ).

cnf(121,plain,
    ib = dollar_c3,
    inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[118,15])]),
    [iquote('hyper,118,15,flip.1')] ).

cnf(128,plain,
    xsd_string(dollar_c2),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[20]),121,121]),30,99,62,29,30,30]),
    [iquote('back_demod,20,demod,121,121,unit_del,30,99,62,29,30,30')] ).

cnf(131,plain,
    $false,
    inference(hyper,[status(thm)],[128,9,99]),
    [iquote('hyper,128,9,99')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n006.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 03:25:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.89/2.10  ----- Otter 3.3f, August 2004 -----
% 1.89/2.10  The process was started by sandbox2 on n006.cluster.edu,
% 1.89/2.10  Wed Jul 27 03:25:32 2022
% 1.89/2.10  The command was "./otter".  The process ID is 31554.
% 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  formula_list(usable).
% 1.89/2.10  all A (A=A).
% 1.89/2.10  all A B (A=B&cA(A)->cA(B)).
% 1.89/2.10  all A B (A=B&cA_and_B(A)->cA_and_B(B)).
% 1.89/2.10  all A B (A=B&cB(A)->cB(B)).
% 1.89/2.10  all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.89/2.10  all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.89/2.10  all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.89/2.10  all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.89/2.10  all X (cowlThing(X)& -cowlNothing(X)).
% 1.89/2.10  all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.89/2.10  all X (cA(X)<->X=ia).
% 1.89/2.10  all X (cA_and_B(X)<->cA(X)|cB(X)).
% 1.89/2.10  all X (cB(X)<->X=ib).
% 1.89/2.10  cowlThing(ia).
% 1.89/2.10  cowlThing(ib).
% 1.89/2.10  -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X (cA_and_B(X)<->X=ib|X=ia))&cowlThing(ia)&cowlThing(ib)).
% 1.89/2.10  end_of_list.
% 1.89/2.10  
% 1.89/2.10  -------> usable clausifies to:
% 1.89/2.10  
% 1.89/2.10  list(usable).
% 1.89/2.10  0 [] A=A.
% 1.89/2.10  0 [] A!=B| -cA(A)|cA(B).
% 1.89/2.10  0 [] A!=B| -cA_and_B(A)|cA_and_B(B).
% 1.89/2.10  0 [] A!=B| -cB(A)|cB(B).
% 1.89/2.10  0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.89/2.10  0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.89/2.10  0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.89/2.10  0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.89/2.10  0 [] cowlThing(X).
% 1.89/2.10  0 [] -cowlNothing(X).
% 1.89/2.10  0 [] -xsd_string(X)| -xsd_integer(X).
% 1.89/2.10  0 [] xsd_string(X)|xsd_integer(X).
% 1.89/2.10  0 [] -cA(X)|X=ia.
% 1.89/2.10  0 [] cA(X)|X!=ia.
% 1.89/2.10  0 [] -cA_and_B(X)|cA(X)|cB(X).
% 1.89/2.10  0 [] cA_and_B(X)| -cA(X).
% 1.89/2.10  0 [] cA_and_B(X)| -cB(X).
% 1.89/2.10  0 [] -cB(X)|X=ib.
% 1.89/2.10  0 [] cB(X)|X!=ib.
% 1.89/2.10  0 [] cowlThing(ia).
% 1.89/2.10  0 [] cowlThing(ib).
% 1.89/2.10  0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cA_and_B($c3)|$c3=ib|$c3=ia| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.10  0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cA_and_B($c3)|$c3!=ib| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.10  0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cA_and_B($c3)|$c3!=ia| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.10  0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cA_and_B($c3)|$c3=ib|$c3=ia| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.10  0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cA_and_B($c3)|$c3!=ib| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.10  0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cA_and_B($c3)|$c3!=ia| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.10  end_of_list.
% 1.89/2.10  
% 1.89/2.10  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 1.89/2.10  
% 1.89/2.10  This ia a non-Horn set with equality.  The strategy will be
% 1.89/2.10  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.89/2.10  deletion, with positive clauses in sos and nonpositive
% 1.89/2.10  clauses in usable.
% 1.89/2.10  
% 1.89/2.10     dependent: set(knuth_bendix).
% 1.89/2.10     dependent: set(anl_eq).
% 1.89/2.10     dependent: set(para_from).
% 1.89/2.10     dependent: set(para_into).
% 1.89/2.10     dependent: clear(para_from_right).
% 1.89/2.10     dependent: clear(para_into_right).
% 1.89/2.10     dependent: set(para_from_vars).
% 1.89/2.10     dependent: set(eq_units_both_ways).
% 1.89/2.10     dependent: set(dynamic_demod_all).
% 1.89/2.10     dependent: set(dynamic_demod).
% 1.89/2.10     dependent: set(order_eq).
% 1.89/2.10     dependent: set(back_demod).
% 1.89/2.10     dependent: set(lrpo).
% 1.89/2.10     dependent: set(hyper_res).
% 1.89/2.10     dependent: set(unit_deletion).
% 1.89/2.10     dependent: set(factor).
% 1.89/2.10  
% 1.89/2.10  ------------> process usable:
% 1.89/2.10  ** KEPT (pick-wt=7): 1 [] A!=B| -cA(A)|cA(B).
% 1.89/2.10  ** KEPT (pick-wt=7): 2 [] A!=B| -cA_and_B(A)|cA_and_B(B).
% 1.89/2.10  ** KEPT (pick-wt=7): 3 [] A!=B| -cB(A)|cB(B).
% 1.89/2.10  ** KEPT (pick-wt=7): 4 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.89/2.10  ** KEPT (pick-wt=7): 5 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.89/2.10  ** KEPT (pick-wt=7): 6 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.89/2.10  ** KEPT (pick-wt=7): 7 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.89/2.10  ** KEPT (pick-wt=2): 8 [] -cowlNothing(A).
% 1.89/2.10  ** KEPT (pick-wt=4): 9 [] -xsd_string(A)| -xsd_integer(A).
% 1.89/2.10  ** KEPT (pick-wt=5): 10 [] -cA(A)|A=ia.
% 1.89/2.10  ** KEPT (pick-wt=5): 11 [] cA(A)|A!=ia.
% 1.89/2.11  ** KEPT (pick-wt=6): 12 [] -cA_and_B(A)|cA(A)|cB(A).
% 1.89/2.11  ** KEPT (pick-wt=4): 13 [] cA_and_B(A)| -cA(A).
% 1.89/2.11  ** KEPT (pick-wt=4): 14 [] cA_and_B(A)| -cB(A).
% 1.89/2.11  ** KEPT (pick-wt=5): 15 [] -cB(A)|A=ib.
% 1.89/2.11  ** KEPT (pick-wt=5): 16 [] cB(A)|A!=ib.
% 1.89/2.11  ** KEPT (pick-wt=18): 18 [copy,17,unit_del,8,flip.5,flip.6] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cA_and_B($c3)|ib=$c3|ia=$c3| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.11  ** KEPT (pick-wt=15): 20 [copy,19,unit_del,8,flip.5] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cA_and_B($c3)|ib!=$c3| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.11  ** KEPT (pick-wt=15): 22 [copy,21,unit_del,8,flip.5] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cA_and_B($c3)|ia!=$c3| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.11  ** KEPT (pick-wt=18): 24 [copy,23,unit_del,8,flip.5,flip.6] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cA_and_B($c3)|ib=$c3|ia=$c3| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.11  ** KEPT (pick-wt=15): 26 [copy,25,unit_del,8,flip.5] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cA_and_B($c3)|ib!=$c3| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.11  ** KEPT (pick-wt=15): 28 [copy,27,unit_del,8,flip.5] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cA_and_B($c3)|ia!=$c3| -cowlThing(ia)| -cowlThing(ib).
% 1.89/2.11  8 back subsumes 4.
% 1.89/2.11  
% 1.89/2.11  ------------> process sos:
% 1.89/2.11  ** KEPT (pick-wt=3): 29 [] A=A.
% 1.89/2.11  ** KEPT (pick-wt=2): 30 [] cowlThing(A).
% 1.89/2.11  ** KEPT (pick-wt=4): 31 [] xsd_string(A)|xsd_integer(A).
% 1.89/2.11    Following clause subsumed by 30 during input processing: 0 [] cowlThing(ia).
% 1.89/2.11    Following clause subsumed by 30 during input processing: 0 [] cowlThing(ib).
% 1.89/2.11    Following clause subsumed by 29 during input processing: 0 [copy,29,flip.1] A=A.
% 1.89/2.11  30 back subsumes 5.
% 1.89/2.11  
% 1.89/2.11  ======= end of input processing =======
% 1.89/2.11  
% 1.89/2.11  =========== start of search ===========
% 1.89/2.11  
% 1.89/2.11  -------- PROOF -------- 
% 1.89/2.11  
% 1.89/2.11  -----> EMPTY CLAUSE at   0.00 sec ----> 131 [hyper,128,9,99] $F.
% 1.89/2.11  
% 1.89/2.11  Length of proof is 28.  Level of proof is 18.
% 1.89/2.11  
% 1.89/2.11  ---------------- PROOF ----------------
% 1.89/2.11  % SZS status Theorem
% 1.89/2.11  % SZS output start Refutation
% See solution above
% 1.89/2.11  ------------ end of proof -------------
% 1.89/2.11  
% 1.89/2.11  
% 1.89/2.11  Search stopped by max_proofs option.
% 1.89/2.11  
% 1.89/2.11  
% 1.89/2.11  Search stopped by max_proofs option.
% 1.89/2.11  
% 1.89/2.11  ============ end of search ============
% 1.89/2.11  
% 1.89/2.11  -------------- statistics -------------
% 1.89/2.11  clauses given                 40
% 1.89/2.11  clauses generated            302
% 1.89/2.11  clauses kept                 123
% 1.89/2.11  clauses forward subsumed     206
% 1.89/2.11  clauses back subsumed         69
% 1.89/2.11  Kbytes malloced              976
% 1.89/2.11  
% 1.89/2.11  ----------- times (seconds) -----------
% 1.89/2.11  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.89/2.11  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.89/2.11  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.89/2.11  
% 1.89/2.11  That finishes the proof of the theorem.
% 1.89/2.11  
% 1.89/2.11  Process 31554 finished Wed Jul 27 03:25:33 2022
% 1.89/2.11  Otter interrupted
% 1.89/2.11  PROOF FOUND
%------------------------------------------------------------------------------