TSTP Solution File: KRS140+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KRS140+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n005.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 13:01:24 EDT 2022

% Result   : Theorem 1.91s 2.09s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   57 (  13 unt;  38 nHn;  55 RR)
%            Number of literals    :  161 (  20 equ;  64 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   29 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( A != B
    | ~ rsymProp(A,C)
    | rsymProp(B,C) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(4,axiom,
    ( A != B
    | ~ rsymProp(C,A)
    | rsymProp(C,B) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ cowlNothing(A),
    file('KRS140+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ rsymProp(A,B)
    | B = ia
    | B = ib ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ rsymProp(A,B)
    | rsymProp(B,A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | rsymProp(dollar_c5,dollar_c4)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(12,plain,
    ( ~ cowlThing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | rsymProp(dollar_c5,dollar_c4)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[11]),7]),
    [iquote('copy,11,unit_del,7')] ).

cnf(13,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | rsymProp(dollar_c4,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(14,plain,
    ( ~ cowlThing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | rsymProp(dollar_c4,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[13]),7]),
    [iquote('copy,13,unit_del,7')] ).

cnf(15,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ~ rsymProp(dollar_c5,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(16,plain,
    ( ~ cowlThing(dollar_c1)
    | xsd_string(dollar_c2)
    | ~ xsd_integer(dollar_c2)
    | ~ rsymProp(dollar_c5,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[15]),7]),
    [iquote('copy,15,unit_del,7')] ).

cnf(17,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | rsymProp(dollar_c5,dollar_c4)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(18,plain,
    ( ~ cowlThing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | rsymProp(dollar_c5,dollar_c4)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[17]),7]),
    [iquote('copy,17,unit_del,7')] ).

cnf(19,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | rsymProp(dollar_c4,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(20,plain,
    ( ~ cowlThing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | rsymProp(dollar_c4,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[19]),7]),
    [iquote('copy,19,unit_del,7')] ).

cnf(21,axiom,
    ( ~ cowlThing(dollar_c1)
    | cowlNothing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ~ rsymProp(dollar_c5,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(22,plain,
    ( ~ cowlThing(dollar_c1)
    | ~ xsd_string(dollar_c2)
    | xsd_integer(dollar_c2)
    | ~ rsymProp(dollar_c5,dollar_c3)
    | ~ rsymProp(ia,A)
    | ~ cowlThing(A) ),
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[21]),7]),
    [iquote('copy,21,unit_del,7')] ).

cnf(30,axiom,
    cowlThing(A),
    file('KRS140+1.p',unknown),
    [] ).

cnf(31,axiom,
    ( xsd_string(A)
    | xsd_integer(A) ),
    file('KRS140+1.p',unknown),
    [] ).

cnf(32,axiom,
    rsymProp(ia,ia),
    file('KRS140+1.p',unknown),
    [] ).

cnf(33,axiom,
    rsymProp(ib,ib),
    file('KRS140+1.p',unknown),
    [] ).

cnf(34,plain,
    ( xsd_integer(dollar_c2)
    | rsymProp(dollar_c4,dollar_c3) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,20,30,32,30])]),
    [iquote('hyper,31,20,30,32,30,factor_simp')] ).

cnf(35,plain,
    ( xsd_integer(dollar_c2)
    | rsymProp(dollar_c5,dollar_c4) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,18,30,32,30])]),
    [iquote('hyper,31,18,30,32,30,factor_simp')] ).

cnf(36,plain,
    ( rsymProp(dollar_c4,dollar_c3)
    | xsd_string(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[34,14,30,32,30])]),
    [iquote('hyper,34,14,30,32,30,factor_simp')] ).

cnf(43,plain,
    ( rsymProp(dollar_c5,dollar_c4)
    | xsd_string(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[35,12,30,32,30])]),
    [iquote('hyper,35,12,30,32,30,factor_simp')] ).

cnf(51,plain,
    rsymProp(dollar_c4,dollar_c3),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[36,8,34])]),
    [iquote('hyper,36,8,34,factor_simp')] ).

cnf(53,plain,
    ( ia = dollar_c3
    | ib = dollar_c3 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[51,9])])]),
    [iquote('hyper,51,9,flip.1,flip.2')] ).

cnf(54,plain,
    ( rsymProp(ib,dollar_c3)
    | ~ rsymProp(A,dollar_c4)
    | ia = dollar_c4 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[51,9])]),
    [iquote('para_into,51.1.1,9.3.1,flip.3')] ).

cnf(55,plain,
    ( rsymProp(ia,dollar_c3)
    | ~ rsymProp(A,dollar_c4)
    | ib = dollar_c4 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[51,9])]),
    [iquote('para_into,51.1.1,9.2.1,flip.3')] ).

cnf(63,plain,
    rsymProp(dollar_c5,dollar_c4),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[43,8,35])]),
    [iquote('hyper,43,8,35,factor_simp')] ).

cnf(64,plain,
    rsymProp(dollar_c4,dollar_c5),
    inference(hyper,[status(thm)],[63,10]),
    [iquote('hyper,63,10')] ).

cnf(66,plain,
    ( rsymProp(ia,dollar_c4)
    | ~ rsymProp(A,dollar_c5)
    | ib = dollar_c5 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[63,9])]),
    [iquote('para_into,63.1.1,9.2.1,flip.3')] ).

cnf(69,plain,
    ( ia = dollar_c5
    | ib = dollar_c5 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[64,9])])]),
    [iquote('hyper,64,9,flip.1,flip.2')] ).

cnf(75,plain,
    ( ib = dollar_c3
    | rsymProp(ia,dollar_c3) ),
    inference(hyper,[status(thm)],[53,4,32]),
    [iquote('hyper,53,4,32')] ).

cnf(78,plain,
    ( ia = dollar_c3
    | rsymProp(ib,dollar_c3) ),
    inference(hyper,[status(thm)],[53,4,33]),
    [iquote('hyper,53,4,33')] ).

cnf(96,plain,
    ( rsymProp(ib,dollar_c3)
    | ia = dollar_c4 ),
    inference(hyper,[status(thm)],[54,63]),
    [iquote('hyper,54,63')] ).

cnf(98,plain,
    ( ib = dollar_c5
    | rsymProp(ia,dollar_c5) ),
    inference(hyper,[status(thm)],[69,4,32]),
    [iquote('hyper,69,4,32')] ).

cnf(130,plain,
    ( rsymProp(ia,dollar_c3)
    | ib = dollar_c4 ),
    inference(hyper,[status(thm)],[55,63]),
    [iquote('hyper,55,63')] ).

cnf(175,plain,
    ( rsymProp(ib,dollar_c3)
    | dollar_c4 = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[96,78])]),
    [iquote('para_into,96.2.1,78.1.1,factor_simp')] ).

cnf(177,plain,
    ( rsymProp(ia,dollar_c4)
    | rsymProp(ib,dollar_c3) ),
    inference(para_from,[status(thm),theory(equality)],[96,32]),
    [iquote('para_from,96.2.1,32.1.2')] ).

cnf(297,plain,
    ( rsymProp(ia,dollar_c3)
    | dollar_c4 = dollar_c3 ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[130,75])]),
    [iquote('para_into,130.2.1,75.1.1,factor_simp')] ).

cnf(334,plain,
    ( rsymProp(ia,dollar_c4)
    | ib = dollar_c5 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[66,98])]),
    [iquote('hyper,66,98,factor_simp')] ).

cnf(355,plain,
    ( rsymProp(dollar_c5,dollar_c3)
    | rsymProp(ib,dollar_c3) ),
    inference(para_from,[status(thm),theory(equality)],[175,63]),
    [iquote('para_from,175.2.1,63.1.2')] ).

cnf(494,plain,
    ( rsymProp(dollar_c5,dollar_c3)
    | rsymProp(ia,dollar_c3) ),
    inference(para_from,[status(thm),theory(equality)],[297,63]),
    [iquote('para_from,297.2.1,63.1.2')] ).

cnf(534,plain,
    ( rsymProp(ia,dollar_c4)
    | rsymProp(dollar_c5,dollar_c3) ),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[334,177])]),
    [iquote('para_from,334.2.1,177.2.1,factor_simp')] ).

cnf(586,plain,
    ( rsymProp(dollar_c5,dollar_c3)
    | ia = dollar_c5 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[355,3,69])]),
    [iquote('hyper,355,3,69,factor_simp')] ).

cnf(755,plain,
    ( rsymProp(ia,dollar_c3)
    | xsd_integer(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[494,22,30,31,32,30])]),
    [iquote('hyper,494,22,30,31,32,30,factor_simp')] ).

cnf(785,plain,
    ( rsymProp(ia,dollar_c3)
    | xsd_string(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[755,16,30,494,32,30])]),
    [iquote('hyper,755,16,30,494,32,30,factor_simp')] ).

cnf(789,plain,
    rsymProp(ia,dollar_c3),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[785,8,755])]),
    [iquote('hyper,785,8,755,factor_simp')] ).

cnf(865,plain,
    ( rsymProp(ia,dollar_c4)
    | xsd_integer(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[534,22,30,31,789,30])]),
    [iquote('hyper,534,22,30,31,789,30,factor_simp')] ).

cnf(887,plain,
    ( rsymProp(ia,dollar_c4)
    | xsd_string(dollar_c2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[865,16,30,534,789,30])]),
    [iquote('hyper,865,16,30,534,789,30,factor_simp')] ).

cnf(891,plain,
    rsymProp(ia,dollar_c4),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[887,8,865])]),
    [iquote('hyper,887,8,865,factor_simp')] ).

cnf(926,plain,
    rsymProp(dollar_c5,dollar_c3),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[586,789])]),
    [iquote('para_from,586.2.1,789.1.1,factor_simp')] ).

cnf(929,plain,
    xsd_integer(dollar_c2),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[926,22,30,31,891,30])]),
    [iquote('hyper,926,22,30,31,891,30,factor_simp')] ).

cnf(935,plain,
    xsd_string(dollar_c2),
    inference(hyper,[status(thm)],[929,16,30,926,891,30]),
    [iquote('hyper,929,16,30,926,891,30')] ).

cnf(938,plain,
    $false,
    inference(hyper,[status(thm)],[935,8,929]),
    [iquote('hyper,935,8,929')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KRS140+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n005.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 03:30:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.78/1.98  ----- Otter 3.3f, August 2004 -----
% 1.78/1.98  The process was started by sandbox2 on n005.cluster.edu,
% 1.78/1.98  Wed Jul 27 03:30:35 2022
% 1.78/1.98  The command was "./otter".  The process ID is 15223.
% 1.78/1.98  
% 1.78/1.98  set(prolog_style_variables).
% 1.78/1.98  set(auto).
% 1.78/1.98     dependent: set(auto1).
% 1.78/1.98     dependent: set(process_input).
% 1.78/1.98     dependent: clear(print_kept).
% 1.78/1.98     dependent: clear(print_new_demod).
% 1.78/1.98     dependent: clear(print_back_demod).
% 1.78/1.98     dependent: clear(print_back_sub).
% 1.78/1.98     dependent: set(control_memory).
% 1.78/1.98     dependent: assign(max_mem, 12000).
% 1.78/1.98     dependent: assign(pick_given_ratio, 4).
% 1.78/1.98     dependent: assign(stats_level, 1).
% 1.78/1.98     dependent: assign(max_seconds, 10800).
% 1.78/1.98  clear(print_given).
% 1.78/1.98  
% 1.78/1.98  formula_list(usable).
% 1.78/1.98  all A (A=A).
% 1.78/1.98  all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.78/1.98  all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.78/1.98  all A B C (A=B&rsymProp(A,C)->rsymProp(B,C)).
% 1.78/1.98  all A B C (A=B&rsymProp(C,A)->rsymProp(C,B)).
% 1.78/1.98  all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.78/1.98  all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.78/1.98  all X (cowlThing(X)& -cowlNothing(X)).
% 1.78/1.98  all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.78/1.98  all X Y (rsymProp(X,Y)->Y=ia|Y=ib).
% 1.78/1.98  all X Y (rsymProp(X,Y)->rsymProp(Y,X)).
% 1.78/1.98  cowlThing(ia).
% 1.78/1.98  rsymProp(ia,ia).
% 1.78/1.98  cowlThing(ib).
% 1.78/1.98  rsymProp(ib,ib).
% 1.78/1.98  -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X Y Z (rsymProp(X,Y)&rsymProp(Y,Z)->rsymProp(X,Z)))& (exists X (rsymProp(ia,X)&cowlThing(X)))).
% 1.78/1.98  end_of_list.
% 1.78/1.98  
% 1.78/1.98  -------> usable clausifies to:
% 1.78/1.98  
% 1.78/1.98  list(usable).
% 1.78/1.98  0 [] A=A.
% 1.78/1.98  0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.78/1.98  0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.78/1.98  0 [] A!=B| -rsymProp(A,C)|rsymProp(B,C).
% 1.78/1.98  0 [] A!=B| -rsymProp(C,A)|rsymProp(C,B).
% 1.78/1.98  0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.78/1.98  0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.78/1.98  0 [] cowlThing(X).
% 1.78/1.98  0 [] -cowlNothing(X).
% 1.78/1.98  0 [] -xsd_string(X)| -xsd_integer(X).
% 1.78/1.98  0 [] xsd_string(X)|xsd_integer(X).
% 1.78/1.98  0 [] -rsymProp(X,Y)|Y=ia|Y=ib.
% 1.78/1.98  0 [] -rsymProp(X,Y)|rsymProp(Y,X).
% 1.78/1.98  0 [] cowlThing(ia).
% 1.78/1.98  0 [] rsymProp(ia,ia).
% 1.78/1.98  0 [] cowlThing(ib).
% 1.78/1.98  0 [] rsymProp(ib,ib).
% 1.78/1.98  0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|rsymProp($c5,$c4)| -rsymProp(ia,X)| -cowlThing(X).
% 1.78/1.98  0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|rsymProp($c4,$c3)| -rsymProp(ia,X)| -cowlThing(X).
% 1.78/1.98  0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rsymProp($c5,$c3)| -rsymProp(ia,X)| -cowlThing(X).
% 1.78/1.98  0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|rsymProp($c5,$c4)| -rsymProp(ia,X)| -cowlThing(X).
% 1.78/1.98  0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|rsymProp($c4,$c3)| -rsymProp(ia,X)| -cowlThing(X).
% 1.78/1.98  0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rsymProp($c5,$c3)| -rsymProp(ia,X)| -cowlThing(X).
% 1.78/1.98  end_of_list.
% 1.78/1.98  
% 1.78/1.98  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.78/1.98  
% 1.78/1.98  This ia a non-Horn set with equality.  The strategy will be
% 1.78/1.98  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.78/1.98  deletion, with positive clauses in sos and nonpositive
% 1.78/1.98  clauses in usable.
% 1.78/1.98  
% 1.78/1.98     dependent: set(knuth_bendix).
% 1.78/1.98     dependent: set(anl_eq).
% 1.78/1.98     dependent: set(para_from).
% 1.78/1.98     dependent: set(para_into).
% 1.78/1.98     dependent: clear(para_from_right).
% 1.78/1.98     dependent: clear(para_into_right).
% 1.78/1.98     dependent: set(para_from_vars).
% 1.78/1.98     dependent: set(eq_units_both_ways).
% 1.78/1.98     dependent: set(dynamic_demod_all).
% 1.78/1.98     dependent: set(dynamic_demod).
% 1.78/1.98     dependent: set(order_eq).
% 1.78/1.98     dependent: set(back_demod).
% 1.78/1.98     dependent: set(lrpo).
% 1.78/1.98     dependent: set(hyper_res).
% 1.78/1.98     dependent: set(unit_deletion).
% 1.78/1.98     dependent: set(factor).
% 1.78/1.98  
% 1.78/1.98  ------------> process usable:
% 1.78/1.98  ** KEPT (pick-wt=7): 1 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.78/1.98  ** KEPT (pick-wt=7): 2 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.78/1.98  ** KEPT (pick-wt=9): 3 [] A!=B| -rsymProp(A,C)|rsymProp(B,C).
% 1.78/1.98  ** KEPT (pick-wt=9): 4 [] A!=B| -rsymProp(C,A)|rsymProp(C,B).
% 1.78/1.98  ** KEPT (pick-wt=7): 5 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.78/1.98  ** KEPT (pick-wt=7): 6 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.78/1.98  ** KEPT (pick-wt=2): 7 [] -cowlNothing(A).
% 1.78/1.98  ** KEPT (pick-wt=4): 8 [] -xsd_string(A)| -xsd_integer(A).
% 1.78/1.98  ** KEPT (pick-wt=9): 9 [] -rsymProp(A,B)|B=ia|B=ib.
% 1.78/1.98  ** KEPT (pick-wt=6): 10 [] -rsymProp(A,B)|rsymProp(B,A).
% 1.78/1.98  ** KEPT (pick-wt=14): 12 [copy,11,unit_del,7] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|rsymProp($c5,$c4)| -rsymProp(ia,A)| -cowlThing(A).
% 1.91/2.09  ** KEPT (pick-wt=14): 14 [copy,13,unit_del,7] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|rsymProp($c4,$c3)| -rsymProp(ia,A)| -cowlThing(A).
% 1.91/2.09  ** KEPT (pick-wt=14): 16 [copy,15,unit_del,7] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rsymProp($c5,$c3)| -rsymProp(ia,A)| -cowlThing(A).
% 1.91/2.09  ** KEPT (pick-wt=14): 18 [copy,17,unit_del,7] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|rsymProp($c5,$c4)| -rsymProp(ia,A)| -cowlThing(A).
% 1.91/2.09  ** KEPT (pick-wt=14): 20 [copy,19,unit_del,7] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|rsymProp($c4,$c3)| -rsymProp(ia,A)| -cowlThing(A).
% 1.91/2.09  ** KEPT (pick-wt=14): 22 [copy,21,unit_del,7] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rsymProp($c5,$c3)| -rsymProp(ia,A)| -cowlThing(A).
% 1.91/2.09  7 back subsumes 1.
% 1.91/2.09  
% 1.91/2.09  ------------> process sos:
% 1.91/2.09  ** KEPT (pick-wt=3): 29 [] A=A.
% 1.91/2.09  ** KEPT (pick-wt=2): 30 [] cowlThing(A).
% 1.91/2.09  ** KEPT (pick-wt=4): 31 [] xsd_string(A)|xsd_integer(A).
% 1.91/2.09    Following clause subsumed by 30 during input processing: 0 [] cowlThing(ia).
% 1.91/2.09  ** KEPT (pick-wt=3): 32 [] rsymProp(ia,ia).
% 1.91/2.09    Following clause subsumed by 30 during input processing: 0 [] cowlThing(ib).
% 1.91/2.09  ** KEPT (pick-wt=3): 33 [] rsymProp(ib,ib).
% 1.91/2.09    Following clause subsumed by 29 during input processing: 0 [copy,29,flip.1] A=A.
% 1.91/2.09  30 back subsumes 2.
% 1.91/2.09  
% 1.91/2.09  ======= end of input processing =======
% 1.91/2.09  
% 1.91/2.09  =========== start of search ===========
% 1.91/2.09  
% 1.91/2.09  -------- PROOF -------- 
% 1.91/2.09  
% 1.91/2.09  -----> EMPTY CLAUSE at   0.10 sec ----> 938 [hyper,935,8,929] $F.
% 1.91/2.09  
% 1.91/2.09  Length of proof is 40.  Level of proof is 16.
% 1.91/2.09  
% 1.91/2.09  ---------------- PROOF ----------------
% 1.91/2.09  % SZS status Theorem
% 1.91/2.09  % SZS output start Refutation
% See solution above
% 1.91/2.09  ------------ end of proof -------------
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Search stopped by max_proofs option.
% 1.91/2.09  
% 1.91/2.09  
% 1.91/2.09  Search stopped by max_proofs option.
% 1.91/2.09  
% 1.91/2.09  ============ end of search ============
% 1.91/2.09  
% 1.91/2.09  -------------- statistics -------------
% 1.91/2.09  clauses given                140
% 1.91/2.09  clauses generated           6521
% 1.91/2.09  clauses kept                 931
% 1.91/2.09  clauses forward subsumed    5594
% 1.91/2.09  clauses back subsumed        780
% 1.91/2.09  Kbytes malloced              976
% 1.91/2.09  
% 1.91/2.09  ----------- times (seconds) -----------
% 1.91/2.09  user CPU time          0.10          (0 hr, 0 min, 0 sec)
% 1.91/2.09  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.91/2.09  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.91/2.09  
% 1.91/2.09  That finishes the proof of the theorem.
% 1.91/2.09  
% 1.91/2.09  Process 15223 finished Wed Jul 27 03:30:37 2022
% 1.91/2.09  Otter interrupted
% 1.91/2.09  PROOF FOUND
%------------------------------------------------------------------------------