TSTP Solution File: SET776+4 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n026.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 13:14:14 EDT 2022

% Result   : Theorem 2.39s 2.53s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   17 (  14 unt;   0 nHn;  17 RR)
%            Number of literals    :   29 (   0 equ;  13 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(93,axiom,
    ( ~ pre_order(A,B)
    | ~ member(C,B)
    | ~ member(D,B)
    | ~ member(E,B)
    | ~ apply(A,C,D)
    | ~ apply(A,D,E)
    | apply(A,C,E) ),
    file('SET776+4.p',unknown),
    [] ).

cnf(101,axiom,
    ( ~ member(A,dollar_c7)
    | ~ member(B,dollar_c7)
    | ~ apply(dollar_c5,A,B)
    | apply(dollar_c6,A,B) ),
    file('SET776+4.p',unknown),
    [] ).

cnf(102,axiom,
    ( ~ member(A,dollar_c7)
    | ~ member(B,dollar_c7)
    | ~ apply(dollar_c5,A,B)
    | apply(dollar_c6,B,A) ),
    file('SET776+4.p',unknown),
    [] ).

cnf(104,axiom,
    ~ apply(dollar_c6,dollar_c2,dollar_c1),
    file('SET776+4.p',unknown),
    [] ).

cnf(148,axiom,
    pre_order(dollar_c6,dollar_c7),
    file('SET776+4.p',unknown),
    [] ).

cnf(149,axiom,
    member(dollar_c4,dollar_c7),
    file('SET776+4.p',unknown),
    [] ).

cnf(150,axiom,
    member(dollar_c3,dollar_c7),
    file('SET776+4.p',unknown),
    [] ).

cnf(151,axiom,
    member(dollar_c2,dollar_c7),
    file('SET776+4.p',unknown),
    [] ).

cnf(152,axiom,
    member(dollar_c1,dollar_c7),
    file('SET776+4.p',unknown),
    [] ).

cnf(153,axiom,
    apply(dollar_c5,dollar_c4,dollar_c2),
    file('SET776+4.p',unknown),
    [] ).

cnf(154,axiom,
    apply(dollar_c5,dollar_c3,dollar_c1),
    file('SET776+4.p',unknown),
    [] ).

cnf(155,axiom,
    apply(dollar_c6,dollar_c4,dollar_c3),
    file('SET776+4.p',unknown),
    [] ).

cnf(289,plain,
    apply(dollar_c6,dollar_c2,dollar_c4),
    inference(hyper,[status(thm)],[153,102,149,151]),
    [iquote('hyper,153,102,149,151')] ).

cnf(320,plain,
    apply(dollar_c6,dollar_c3,dollar_c1),
    inference(hyper,[status(thm)],[154,101,150,152]),
    [iquote('hyper,154,101,150,152')] ).

cnf(706,plain,
    apply(dollar_c6,dollar_c2,dollar_c3),
    inference(hyper,[status(thm)],[289,93,148,151,149,150,155]),
    [iquote('hyper,289,93,148,151,149,150,155')] ).

cnf(1309,plain,
    apply(dollar_c6,dollar_c2,dollar_c1),
    inference(hyper,[status(thm)],[706,93,148,151,150,152,320]),
    [iquote('hyper,706,93,148,151,150,152,320')] ).

cnf(1310,plain,
    $false,
    inference(binary,[status(thm)],[1309,104]),
    [iquote('binary,1309.1,104.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 11:07:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.06/2.25  ----- Otter 3.3f, August 2004 -----
% 2.06/2.25  The process was started by sandbox2 on n026.cluster.edu,
% 2.06/2.25  Wed Jul 27 11:07:54 2022
% 2.06/2.25  The command was "./otter".  The process ID is 25504.
% 2.06/2.25  
% 2.06/2.25  set(prolog_style_variables).
% 2.06/2.25  set(auto).
% 2.06/2.25     dependent: set(auto1).
% 2.06/2.25     dependent: set(process_input).
% 2.06/2.25     dependent: clear(print_kept).
% 2.06/2.25     dependent: clear(print_new_demod).
% 2.06/2.25     dependent: clear(print_back_demod).
% 2.06/2.25     dependent: clear(print_back_sub).
% 2.06/2.25     dependent: set(control_memory).
% 2.06/2.25     dependent: assign(max_mem, 12000).
% 2.06/2.25     dependent: assign(pick_given_ratio, 4).
% 2.06/2.25     dependent: assign(stats_level, 1).
% 2.06/2.25     dependent: assign(max_seconds, 10800).
% 2.06/2.25  clear(print_given).
% 2.06/2.25  
% 2.06/2.25  formula_list(usable).
% 2.06/2.25  all A (A=A).
% 2.06/2.25  all A B (subset(A,B)<-> (all X (member(X,A)->member(X,B)))).
% 2.06/2.25  all A B (e_qual_set(A,B)<->subset(A,B)&subset(B,A)).
% 2.06/2.25  all X A (member(X,power_set(A))<->subset(X,A)).
% 2.06/2.25  all X A B (member(X,intersection(A,B))<->member(X,A)&member(X,B)).
% 2.06/2.25  all X A B (member(X,union(A,B))<->member(X,A)|member(X,B)).
% 2.06/2.25  all X (-member(X,empty_set)).
% 2.06/2.25  all B A E (member(B,difference(E,A))<->member(B,E)& -member(B,A)).
% 2.06/2.25  all X A (member(X,singleton(A))<->X=A).
% 2.06/2.25  all X A B (member(X,unordered_pair(A,B))<->X=A|X=B).
% 2.06/2.25  all X A (member(X,sum(A))<-> (exists Y (member(Y,A)&member(X,Y)))).
% 2.06/2.25  all X A (member(X,product(A))<-> (all Y (member(Y,A)->member(X,Y)))).
% 2.06/2.25  all A B (disjoint(A,B)<-> -(exists X (member(X,A)&member(X,B)))).
% 2.06/2.25  all A E (partition(A,E)<-> (all X (member(X,A)->subset(X,E)))& (all X (member(X,E)-> (exists Y (member(Y,A)&member(X,Y)))))& (all X Y (member(X,A)&member(Y,A)-> ((exists Z (member(Z,X)&member(Z,Y)))->X=Y)))).
% 2.06/2.25  all A R (e_quivalence(R,A)<-> (all X (member(X,A)->apply(R,X,X)))& (all X Y (member(X,A)&member(Y,A)-> (apply(R,X,Y)->apply(R,Y,X))))& (all X Y Z (member(X,A)&member(Y,A)&member(Z,A)-> (apply(R,X,Y)&apply(R,Y,Z)->apply(R,X,Z))))).
% 2.06/2.25  all R E A X (member(X,e_quivalence_class(A,E,R))<->member(X,E)&apply(R,A,X)).
% 2.06/2.25  all R E (pre_order(R,E)<-> (all X (member(X,E)->apply(R,X,X)))& (all X Y Z (member(X,E)&member(Y,E)&member(Z,E)-> (apply(R,X,Y)&apply(R,Y,Z)->apply(R,X,Z))))).
% 2.06/2.25  -(all E P R (pre_order(P,E)& (all A B (member(A,E)&member(B,E)-> (apply(R,A,B)<->apply(P,A,B)&apply(P,B,A))))-> (all X1 X2 Y1 Y2 (member(X1,E)&member(X2,E)&member(Y1,E)&member(Y2,E)-> (apply(R,X1,Y1)&apply(R,X2,Y2)&apply(P,X1,X2)->apply(P,Y1,Y2)))))).
% 2.06/2.25  end_of_list.
% 2.06/2.25  
% 2.06/2.25  -------> usable clausifies to:
% 2.06/2.25  
% 2.06/2.25  list(usable).
% 2.06/2.25  0 [] A=A.
% 2.06/2.25  0 [] -subset(A,B)| -member(X,A)|member(X,B).
% 2.06/2.25  0 [] subset(A,B)|member($f1(A,B),A).
% 2.06/2.25  0 [] subset(A,B)| -member($f1(A,B),B).
% 2.06/2.25  0 [] -e_qual_set(A,B)|subset(A,B).
% 2.06/2.25  0 [] -e_qual_set(A,B)|subset(B,A).
% 2.06/2.25  0 [] e_qual_set(A,B)| -subset(A,B)| -subset(B,A).
% 2.06/2.25  0 [] -member(X,power_set(A))|subset(X,A).
% 2.06/2.25  0 [] member(X,power_set(A))| -subset(X,A).
% 2.06/2.25  0 [] -member(X,intersection(A,B))|member(X,A).
% 2.06/2.25  0 [] -member(X,intersection(A,B))|member(X,B).
% 2.06/2.25  0 [] member(X,intersection(A,B))| -member(X,A)| -member(X,B).
% 2.06/2.25  0 [] -member(X,union(A,B))|member(X,A)|member(X,B).
% 2.06/2.25  0 [] member(X,union(A,B))| -member(X,A).
% 2.06/2.25  0 [] member(X,union(A,B))| -member(X,B).
% 2.06/2.25  0 [] -member(X,empty_set).
% 2.06/2.25  0 [] -member(B,difference(E,A))|member(B,E).
% 2.06/2.25  0 [] -member(B,difference(E,A))| -member(B,A).
% 2.06/2.25  0 [] member(B,difference(E,A))| -member(B,E)|member(B,A).
% 2.06/2.25  0 [] -member(X,singleton(A))|X=A.
% 2.06/2.25  0 [] member(X,singleton(A))|X!=A.
% 2.06/2.25  0 [] -member(X,unordered_pair(A,B))|X=A|X=B.
% 2.06/2.25  0 [] member(X,unordered_pair(A,B))|X!=A.
% 2.06/2.25  0 [] member(X,unordered_pair(A,B))|X!=B.
% 2.06/2.25  0 [] -member(X,sum(A))|member($f2(X,A),A).
% 2.06/2.25  0 [] -member(X,sum(A))|member(X,$f2(X,A)).
% 2.06/2.25  0 [] member(X,sum(A))| -member(Y,A)| -member(X,Y).
% 2.06/2.25  0 [] -member(X,product(A))| -member(Y,A)|member(X,Y).
% 2.06/2.25  0 [] member(X,product(A))|member($f3(X,A),A).
% 2.06/2.25  0 [] member(X,product(A))| -member(X,$f3(X,A)).
% 2.06/2.25  0 [] -disjoint(A,B)| -member(X,A)| -member(X,B).
% 2.06/2.25  0 [] disjoint(A,B)|member($f4(A,B),A).
% 2.06/2.25  0 [] disjoint(A,B)|member($f4(A,B),B).
% 2.06/2.25  0 [] -partition(A,E)| -member(X,A)|subset(X,E).
% 2.06/2.25  0 [] -partition(A,E)| -member(X3,E)|member($f5(A,E,X3),A).
% 2.06/2.25  0 [] -partition(A,E)| -member(X3,E)|member(X3,$f5(A,E,X3)).
% 2.06/2.25  0 [] -partition(A,E)| -member(X4,A)| -member(Y,A)| -member(Z,X4)| -member(Z,Y)|X4=Y.
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)|member($f7(A,E),E)|member($f10(A,E),A).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)|member($f7(A,E),E)|member($f9(A,E),A).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)|member($f7(A,E),E)|member($f8(A,E),$f10(A,E)).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)|member($f7(A,E),E)|member($f8(A,E),$f9(A,E)).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)|member($f7(A,E),E)|$f10(A,E)!=$f9(A,E).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)| -member(X5,A)| -member($f7(A,E),X5)|member($f10(A,E),A).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)| -member(X5,A)| -member($f7(A,E),X5)|member($f9(A,E),A).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)| -member(X5,A)| -member($f7(A,E),X5)|member($f8(A,E),$f10(A,E)).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)| -member(X5,A)| -member($f7(A,E),X5)|member($f8(A,E),$f9(A,E)).
% 2.06/2.25  0 [] partition(A,E)|member($f6(A,E),A)| -member(X5,A)| -member($f7(A,E),X5)|$f10(A,E)!=$f9(A,E).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)|member($f7(A,E),E)|member($f10(A,E),A).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)|member($f7(A,E),E)|member($f9(A,E),A).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)|member($f7(A,E),E)|member($f8(A,E),$f10(A,E)).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)|member($f7(A,E),E)|member($f8(A,E),$f9(A,E)).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)|member($f7(A,E),E)|$f10(A,E)!=$f9(A,E).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)| -member(X5,A)| -member($f7(A,E),X5)|member($f10(A,E),A).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)| -member(X5,A)| -member($f7(A,E),X5)|member($f9(A,E),A).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)| -member(X5,A)| -member($f7(A,E),X5)|member($f8(A,E),$f10(A,E)).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)| -member(X5,A)| -member($f7(A,E),X5)|member($f8(A,E),$f9(A,E)).
% 2.06/2.25  0 [] partition(A,E)| -subset($f6(A,E),E)| -member(X5,A)| -member($f7(A,E),X5)|$f10(A,E)!=$f9(A,E).
% 2.06/2.25  0 [] -e_quivalence(R,A)| -member(X,A)|apply(R,X,X).
% 2.06/2.25  0 [] -e_quivalence(R,A)| -member(X6,A)| -member(Y,A)| -apply(R,X6,Y)|apply(R,Y,X6).
% 2.06/2.25  0 [] -e_quivalence(R,A)| -member(X7,A)| -member(X8,A)| -member(Z,A)| -apply(R,X7,X8)| -apply(R,X8,Z)|apply(R,X7,Z).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f13(A,R),A)|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f13(A,R),A)|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f13(A,R),A)|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f13(A,R),A)|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f13(A,R),A)|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f13(A,R),A)| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f12(A,R),A)|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f12(A,R),A)|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f12(A,R),A)|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f12(A,R),A)|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f12(A,R),A)|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|member($f12(A,R),A)| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|apply(R,$f13(A,R),$f12(A,R))|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|apply(R,$f13(A,R),$f12(A,R))|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|apply(R,$f13(A,R),$f12(A,R))|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|apply(R,$f13(A,R),$f12(A,R))|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|apply(R,$f13(A,R),$f12(A,R))|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)|apply(R,$f13(A,R),$f12(A,R))| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)| -apply(R,$f12(A,R),$f13(A,R))|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)| -apply(R,$f12(A,R),$f13(A,R))|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)| -apply(R,$f12(A,R),$f13(A,R))|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)| -apply(R,$f12(A,R),$f13(A,R))|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)| -apply(R,$f12(A,R),$f13(A,R))|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)|member($f11(A,R),A)| -apply(R,$f12(A,R),$f13(A,R))| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f13(A,R),A)|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f13(A,R),A)|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f13(A,R),A)|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f13(A,R),A)|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f13(A,R),A)|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f13(A,R),A)| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f12(A,R),A)|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f12(A,R),A)|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f12(A,R),A)|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f12(A,R),A)|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f12(A,R),A)|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|member($f12(A,R),A)| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|apply(R,$f13(A,R),$f12(A,R))|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|apply(R,$f13(A,R),$f12(A,R))|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|apply(R,$f13(A,R),$f12(A,R))|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|apply(R,$f13(A,R),$f12(A,R))|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|apply(R,$f13(A,R),$f12(A,R))|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))|apply(R,$f13(A,R),$f12(A,R))| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))| -apply(R,$f12(A,R),$f13(A,R))|member($f16(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))| -apply(R,$f12(A,R),$f13(A,R))|member($f15(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))| -apply(R,$f12(A,R),$f13(A,R))|member($f14(A,R),A).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))| -apply(R,$f12(A,R),$f13(A,R))|apply(R,$f16(A,R),$f15(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))| -apply(R,$f12(A,R),$f13(A,R))|apply(R,$f15(A,R),$f14(A,R)).
% 2.06/2.25  0 [] e_quivalence(R,A)| -apply(R,$f11(A,R),$f11(A,R))| -apply(R,$f12(A,R),$f13(A,R))| -apply(R,$f16(A,R),$f14(A,R)).
% 2.06/2.25  0 [] -member(X,e_quivalence_class(A,E,R))|member(X,E).
% 2.06/2.25  0 [] -member(X,e_quivalence_class(A,E,R))|apply(R,A,X).
% 2.06/2.25  0 [] member(X,e_quivalence_class(A,E,R))| -member(X,E)| -apply(R,A,X).
% 2.06/2.25  0 [] -pre_order(R,E)| -member(X,E)|apply(R,X,X).
% 2.06/2.25  0 [] -pre_order(R,E)| -member(X9,E)| -member(Y,E)| -member(Z,E)| -apply(R,X9,Y)| -apply(R,Y,Z)|apply(R,X9,Z).
% 2.06/2.25  0 [] pre_order(R,E)|member($f17(R,E),E)|member($f20(R,E),E).
% 2.06/2.25  0 [] pre_order(R,E)|member($f17(R,E),E)|member($f19(R,E),E).
% 2.06/2.25  0 [] pre_order(R,E)|member($f17(R,E),E)|member($f18(R,E),E).
% 2.06/2.25  0 [] pre_order(R,E)|member($f17(R,E),E)|apply(R,$f20(R,E),$f19(R,E)).
% 2.06/2.25  0 [] pre_order(R,E)|member($f17(R,E),E)|apply(R,$f19(R,E),$f18(R,E)).
% 2.06/2.25  0 [] pre_order(R,E)|member($f17(R,E),E)| -apply(R,$f20(R,E),$f18(R,E)).
% 2.06/2.25  0 [] pre_order(R,E)| -apply(R,$f17(R,E),$f17(R,E))|member($f20(R,E),E).
% 2.06/2.25  0 [] pre_order(R,E)| -apply(R,$f17(R,E),$f17(R,E))|member($f19(R,E),E).
% 2.06/2.25  0 [] pre_order(R,E)| -apply(R,$f17(R,E),$f17(R,E))|member($f18(R,E),E).
% 2.06/2.25  0 [] pre_order(R,E)| -apply(R,$f17(R,E),$f17(R,E))|apply(R,$f20(R,E),$f19(R,E)).
% 2.06/2.25  0 [] pre_order(R,E)| -apply(R,$f17(R,E),$f17(R,E))|apply(R,$f19(R,E),$f18(R,E)).
% 2.06/2.25  0 [] pre_order(R,E)| -apply(R,$f17(R,E),$f17(R,E))| -apply(R,$f20(R,E),$f18(R,E)).
% 2.06/2.25  0 [] pre_order($c6,$c7).
% 2.06/2.25  0 [] -member(A,$c7)| -member(B,$c7)| -apply($c5,A,B)|apply($c6,A,B).
% 2.06/2.25  0 [] -member(A,$c7)| -member(B,$c7)| -apply($c5,A,B)|apply($c6,B,A).
% 2.06/2.25  0 [] -member(A,$c7)| -member(B,$c7)|apply($c5,A,B)| -apply($c6,A,B)| -apply($c6,B,A).
% 2.06/2.25  0 [] member($c4,$c7).
% 2.06/2.25  0 [] member($c3,$c7).
% 2.06/2.25  0 [] member($c2,$c7).
% 2.06/2.25  0 [] member($c1,$c7).
% 2.06/2.25  0 [] apply($c5,$c4,$c2).
% 2.06/2.25  0 [] apply($c5,$c3,$c1).
% 2.06/2.25  0 [] apply($c6,$c4,$c3).
% 2.06/2.25  0 [] -apply($c6,$c2,$c1).
% 2.06/2.25  end_of_list.
% 2.06/2.25  
% 2.06/2.25  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.06/2.25  
% 2.06/2.25  This ia a non-Horn set with equality.  The strategy will be
% 2.06/2.25  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.06/2.25  deletion, with positive clauses in sos and nonpositive
% 2.06/2.25  clauses in usable.
% 2.06/2.25  
% 2.06/2.25     dependent: set(knuth_bendix).
% 2.06/2.25     dependent: set(anl_eq).
% 2.06/2.25     dependent: set(para_from).
% 2.06/2.25     dependent: set(para_into).
% 2.06/2.25     dependent: clear(para_from_right).
% 2.06/2.25     dependent: clear(para_into_right).
% 2.06/2.25     dependent: set(para_from_vars).
% 2.06/2.25     dependent: set(eq_units_both_ways).
% 2.06/2.25     dependent: set(dynamic_demod_all).
% 2.06/2.25     dependent: set(dynamic_demod).
% 2.06/2.25     dependent: set(order_eq).
% 2.06/2.25     dependent: set(back_demod).
% 2.06/2.25     dependent: set(lrpo).
% 2.06/2.25     dependent: set(hyper_res).
% 2.06/2.25     dependent: set(unit_deletion).
% 2.06/2.25     dependent: set(factor).
% 2.06/2.25  
% 2.06/2.25  ------------> process usable:
% 2.06/2.25  ** KEPT (pick-wt=9): 1 [] -subset(A,B)| -member(C,A)|member(C,B).
% 2.06/2.25  ** KEPT (pick-wt=8): 2 [] subset(A,B)| -member($f1(A,B),B).
% 2.06/2.25  ** KEPT (pick-wt=6): 3 [] -e_qual_set(A,B)|subset(A,B).
% 2.06/2.25  ** KEPT (pick-wt=6): 4 [] -e_qual_set(A,B)|subset(B,A).
% 2.06/2.25  ** KEPT (pick-wt=9): 5 [] e_qual_set(A,B)| -subset(A,B)| -subset(B,A).
% 2.06/2.25  ** KEPT (pick-wt=7): 6 [] -member(A,power_set(B))|subset(A,B).
% 2.06/2.25  ** KEPT (pick-wt=7): 7 [] member(A,power_set(B))| -subset(A,B).
% 2.06/2.25  ** KEPT (pick-wt=8): 8 [] -member(A,intersection(B,C))|member(A,B).
% 2.06/2.25  ** KEPT (pick-wt=8): 9 [] -member(A,intersection(B,C))|member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=11): 10 [] member(A,intersection(B,C))| -member(A,B)| -member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=11): 11 [] -member(A,union(B,C))|member(A,B)|member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=8): 12 [] member(A,union(B,C))| -member(A,B).
% 2.06/2.25  ** KEPT (pick-wt=8): 13 [] member(A,union(B,C))| -member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=3): 14 [] -member(A,empty_set).
% 2.06/2.25  ** KEPT (pick-wt=8): 15 [] -member(A,difference(B,C))|member(A,B).
% 2.06/2.25  ** KEPT (pick-wt=8): 16 [] -member(A,difference(B,C))| -member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=11): 17 [] member(A,difference(B,C))| -member(A,B)|member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=7): 18 [] -member(A,singleton(B))|A=B.
% 2.06/2.25  ** KEPT (pick-wt=7): 19 [] member(A,singleton(B))|A!=B.
% 2.06/2.25  ** KEPT (pick-wt=11): 20 [] -member(A,unordered_pair(B,C))|A=B|A=C.
% 2.06/2.25  ** KEPT (pick-wt=8): 21 [] member(A,unordered_pair(B,C))|A!=B.
% 2.06/2.25  ** KEPT (pick-wt=8): 22 [] member(A,unordered_pair(B,C))|A!=C.
% 2.06/2.25  ** KEPT (pick-wt=9): 23 [] -member(A,sum(B))|member($f2(A,B),B).
% 2.06/2.25  ** KEPT (pick-wt=9): 24 [] -member(A,sum(B))|member(A,$f2(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=10): 25 [] member(A,sum(B))| -member(C,B)| -member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=10): 26 [] -member(A,product(B))| -member(C,B)|member(A,C).
% 2.06/2.25  ** KEPT (pick-wt=9): 27 [] member(A,product(B))| -member(A,$f3(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=9): 28 [] -disjoint(A,B)| -member(C,A)| -member(C,B).
% 2.06/2.25  ** KEPT (pick-wt=9): 29 [] -partition(A,B)| -member(C,A)|subset(C,B).
% 2.06/2.25  ** KEPT (pick-wt=12): 30 [] -partition(A,B)| -member(C,B)|member($f5(A,B,C),A).
% 2.06/2.25  ** KEPT (pick-wt=12): 31 [] -partition(A,B)| -member(C,B)|member(C,$f5(A,B,C)).
% 2.06/2.25  ** KEPT (pick-wt=18): 32 [] -partition(A,B)| -member(C,A)| -member(D,A)| -member(E,C)| -member(E,D)|C=D.
% 2.06/2.25  ** KEPT (pick-wt=20): 34 [copy,33,flip.4] partition(A,B)|member($f6(A,B),A)|member($f7(A,B),B)|$f9(A,B)!=$f10(A,B).
% 2.06/2.25  ** KEPT (pick-wt=21): 35 [] partition(A,B)|member($f6(A,B),A)| -member(C,A)| -member($f7(A,B),C)|member($f10(A,B),A).
% 2.06/2.25  ** KEPT (pick-wt=21): 36 [] partition(A,B)|member($f6(A,B),A)| -member(C,A)| -member($f7(A,B),C)|member($f9(A,B),A).
% 2.06/2.25  ** KEPT (pick-wt=23): 37 [] partition(A,B)|member($f6(A,B),A)| -member(C,A)| -member($f7(A,B),C)|member($f8(A,B),$f10(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=23): 38 [] partition(A,B)|member($f6(A,B),A)| -member(C,A)| -member($f7(A,B),C)|member($f8(A,B),$f9(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=23): 40 [copy,39,flip.5] partition(A,B)|member($f6(A,B),A)| -member(C,A)| -member($f7(A,B),C)|$f9(A,B)!=$f10(A,B).
% 2.06/2.25  ** KEPT (pick-wt=18): 41 [] partition(A,B)| -subset($f6(A,B),B)|member($f7(A,B),B)|member($f10(A,B),A).
% 2.06/2.25  ** KEPT (pick-wt=18): 42 [] partition(A,B)| -subset($f6(A,B),B)|member($f7(A,B),B)|member($f9(A,B),A).
% 2.06/2.25  ** KEPT (pick-wt=20): 43 [] partition(A,B)| -subset($f6(A,B),B)|member($f7(A,B),B)|member($f8(A,B),$f10(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=20): 44 [] partition(A,B)| -subset($f6(A,B),B)|member($f7(A,B),B)|member($f8(A,B),$f9(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=20): 46 [copy,45,flip.4] partition(A,B)| -subset($f6(A,B),B)|member($f7(A,B),B)|$f9(A,B)!=$f10(A,B).
% 2.06/2.25  ** KEPT (pick-wt=21): 47 [] partition(A,B)| -subset($f6(A,B),B)| -member(C,A)| -member($f7(A,B),C)|member($f10(A,B),A).
% 2.06/2.25  ** KEPT (pick-wt=21): 48 [] partition(A,B)| -subset($f6(A,B),B)| -member(C,A)| -member($f7(A,B),C)|member($f9(A,B),A).
% 2.06/2.25  ** KEPT (pick-wt=23): 49 [] partition(A,B)| -subset($f6(A,B),B)| -member(C,A)| -member($f7(A,B),C)|member($f8(A,B),$f10(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=23): 50 [] partition(A,B)| -subset($f6(A,B),B)| -member(C,A)| -member($f7(A,B),C)|member($f8(A,B),$f9(A,B)).
% 2.06/2.25  ** KEPT (pick-wt=23): 52 [copy,51,flip.5] partition(A,B)| -subset($f6(A,B),B)| -member(C,A)| -member($f7(A,B),C)|$f9(A,B)!=$f10(A,B).
% 2.06/2.25  ** KEPT (pick-wt=10): 53 [] -e_quivalence(A,B)| -member(C,B)|apply(A,C,C).
% 2.06/2.25  ** KEPT (pick-wt=17): 54 [] -e_quivalence(A,B)| -member(C,B)| -member(D,B)| -apply(A,C,D)|apply(A,D,C).
% 2.06/2.25  ** KEPT (pick-wt=24): 55 [] -e_quivalence(A,B)| -member(C,B)| -member(D,B)| -member(E,B)| -apply(A,C,D)| -apply(A,D,E)|apply(A,C,E).
% 2.06/2.25  ** KEPT (pick-wt=21): 56 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f13(B,A),B)| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.25  ** KEPT (pick-wt=21): 57 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f12(B,A),B)| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.25  ** KEPT (pick-wt=24): 58 [] e_quivalence(A,B)|member($f11(B,A),B)|apply(A,$f13(B,A),$f12(B,A))| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.25  ** KEPT (pick-wt=21): 59 [] e_quivalence(A,B)|member($f11(B,A),B)| -apply(A,$f12(B,A),$f13(B,A))|member($f16(B,A),B).
% 2.06/2.25  ** KEPT (pick-wt=21): 60 [] e_quivalence(A,B)|member($f11(B,A),B)| -apply(A,$f12(B,A),$f13(B,A))|member($f15(B,A),B).
% 2.06/2.25  ** KEPT (pick-wt=21): 61 [] e_quivalence(A,B)|member($f11(B,A),B)| -apply(A,$f12(B,A),$f13(B,A))|member($f14(B,A),B).
% 2.06/2.25  ** KEPT (pick-wt=24): 62 [] e_quivalence(A,B)|member($f11(B,A),B)| -apply(A,$f12(B,A),$f13(B,A))|apply(A,$f16(B,A),$f15(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 63 [] e_quivalence(A,B)|member($f11(B,A),B)| -apply(A,$f12(B,A),$f13(B,A))|apply(A,$f15(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 64 [] e_quivalence(A,B)|member($f11(B,A),B)| -apply(A,$f12(B,A),$f13(B,A))| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=21): 65 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f13(B,A),B)|member($f16(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=21): 66 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f13(B,A),B)|member($f15(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=21): 67 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f13(B,A),B)|member($f14(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=24): 68 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f13(B,A),B)|apply(A,$f16(B,A),$f15(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 69 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f13(B,A),B)|apply(A,$f15(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 70 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f13(B,A),B)| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=21): 71 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f12(B,A),B)|member($f16(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=21): 72 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f12(B,A),B)|member($f15(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=21): 73 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f12(B,A),B)|member($f14(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=24): 74 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f12(B,A),B)|apply(A,$f16(B,A),$f15(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 75 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f12(B,A),B)|apply(A,$f15(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 76 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|member($f12(B,A),B)| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 77 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|apply(A,$f13(B,A),$f12(B,A))|member($f16(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=24): 78 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|apply(A,$f13(B,A),$f12(B,A))|member($f15(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=24): 79 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|apply(A,$f13(B,A),$f12(B,A))|member($f14(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=27): 80 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|apply(A,$f13(B,A),$f12(B,A))|apply(A,$f16(B,A),$f15(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=27): 81 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|apply(A,$f13(B,A),$f12(B,A))|apply(A,$f15(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=27): 82 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))|apply(A,$f13(B,A),$f12(B,A))| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=24): 83 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))| -apply(A,$f12(B,A),$f13(B,A))|member($f16(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=24): 84 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))| -apply(A,$f12(B,A),$f13(B,A))|member($f15(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=24): 85 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))| -apply(A,$f12(B,A),$f13(B,A))|member($f14(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=27): 86 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))| -apply(A,$f12(B,A),$f13(B,A))|apply(A,$f16(B,A),$f15(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=27): 87 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))| -apply(A,$f12(B,A),$f13(B,A))|apply(A,$f15(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=27): 88 [] e_quivalence(A,B)| -apply(A,$f11(B,A),$f11(B,A))| -apply(A,$f12(B,A),$f13(B,A))| -apply(A,$f16(B,A),$f14(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=9): 89 [] -member(A,e_quivalence_class(B,C,D))|member(A,C).
% 2.06/2.26  ** KEPT (pick-wt=10): 90 [] -member(A,e_quivalence_class(B,C,D))|apply(D,B,A).
% 2.06/2.26  ** KEPT (pick-wt=13): 91 [] member(A,e_quivalence_class(B,C,D))| -member(A,C)| -apply(D,B,A).
% 2.06/2.26  ** KEPT (pick-wt=10): 92 [] -pre_order(A,B)| -member(C,B)|apply(A,C,C).
% 2.06/2.26  ** KEPT (pick-wt=24): 93 [] -pre_order(A,B)| -member(C,B)| -member(D,B)| -member(E,B)| -apply(A,C,D)| -apply(A,D,E)|apply(A,C,E).
% 2.06/2.26  ** KEPT (pick-wt=16): 94 [] pre_order(A,B)|member($f17(A,B),B)| -apply(A,$f20(A,B),$f18(A,B)).
% 2.06/2.26  ** KEPT (pick-wt=16): 95 [] pre_order(A,B)| -apply(A,$f17(A,B),$f17(A,B))|member($f20(A,B),B).
% 2.06/2.26  ** KEPT (pick-wt=16): 96 [] pre_order(A,B)| -apply(A,$f17(A,B),$f17(A,B))|member($f19(A,B),B).
% 2.06/2.26  ** KEPT (pick-wt=16): 97 [] pre_order(A,B)| -apply(A,$f17(A,B),$f17(A,B))|member($f18(A,B),B).
% 2.06/2.26  ** KEPT (pick-wt=19): 98 [] pre_order(A,B)| -apply(A,$f17(A,B),$f17(A,B))|apply(A,$f20(A,B),$f19(A,B)).
% 2.06/2.26  ** KEPT (pick-wt=19): 99 [] pre_order(A,B)| -apply(A,$f17(A,B),$f17(A,B))|apply(A,$f19(A,B),$f18(A,B)).
% 2.06/2.26  ** KEPT (pick-wt=19): 100 [] pre_order(A,B)| -apply(A,$f17(A,B),$f17(A,B))| -apply(A,$f20(A,B),$f18(A,B)).
% 2.06/2.26  ** KEPT (pick-wt=14): 101 [] -member(A,$c7)| -member(B,$c7)| -apply($c5,A,B)|apply($c6,A,B).
% 2.06/2.26  ** KEPT (pick-wt=14): 102 [] -member(A,$c7)| -member(B,$c7)| -apply($c5,A,B)|apply($c6,B,A).
% 2.06/2.26  ** KEPT (pick-wt=18): 103 [] -member(A,$c7)| -member(B,$c7)|apply($c5,A,B)| -apply($c6,A,B)| -apply($c6,B,A).
% 2.06/2.26  ** KEPT (pick-wt=4): 104 [] -apply($c6,$c2,$c1).
% 2.06/2.26  
% 2.06/2.26  ------------> process sos:
% 2.06/2.26  ** KEPT (pick-wt=3): 119 [] A=A.
% 2.06/2.26  ** KEPT (pick-wt=8): 120 [] subset(A,B)|member($f1(A,B),A).
% 2.06/2.26  ** KEPT (pick-wt=9): 121 [] member(A,product(B))|member($f3(A,B),B).
% 2.06/2.26  ** KEPT (pick-wt=8): 122 [] disjoint(A,B)|member($f4(A,B),A).
% 2.06/2.26  ** KEPT (pick-wt=8): 123 [] disjoint(A,B)|member($f4(A,B),B).
% 2.06/2.26  ** KEPT (pick-wt=18): 124 [] partition(A,B)|member($f6(A,B),A)|member($f7(A,B),B)|member($f10(A,B),A).
% 2.06/2.26  ** KEPT (pick-wt=18): 125 [] partition(A,B)|member($f6(A,B),A)|member($f7(A,B),B)|member($f9(A,B),A).
% 2.06/2.26  ** KEPT (pick-wt=20): 126 [] partition(A,B)|member($f6(A,B),A)|member($f7(A,B),B)|member($f8(A,B),$f10(A,B)).
% 2.06/2.26  ** KEPT (pick-wt=20): 127 [] partition(A,B)|member($f6(A,B),A)|member($f7(A,B),B)|member($f8(A,B),$f9(A,B)).
% 2.06/2.26  ** KEPT (pick-wt=18): 128 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f13(B,A),B)|member($f16(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=18): 129 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f13(B,A),B)|member($f15(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=18): 130 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f13(B,A),B)|member($f14(B,A),B).
% 2.06/2.26  ** KEPT (pick-wt=21): 131 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f13(B,A),B)|apply(A,$f16(B,A),$f15(B,A)).
% 2.06/2.26  ** KEPT (pick-wt=21): 132 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f13(B,A),B)|apply(A,$f15(B,A),$f14(B,A)).
% 2.39/2.53  ** KEPT (pick-wt=18): 133 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f12(B,A),B)|member($f16(B,A),B).
% 2.39/2.53  ** KEPT (pick-wt=18): 134 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f12(B,A),B)|member($f15(B,A),B).
% 2.39/2.53  ** KEPT (pick-wt=18): 135 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f12(B,A),B)|member($f14(B,A),B).
% 2.39/2.53  ** KEPT (pick-wt=21): 136 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f12(B,A),B)|apply(A,$f16(B,A),$f15(B,A)).
% 2.39/2.53  ** KEPT (pick-wt=21): 137 [] e_quivalence(A,B)|member($f11(B,A),B)|member($f12(B,A),B)|apply(A,$f15(B,A),$f14(B,A)).
% 2.39/2.53  ** KEPT (pick-wt=21): 138 [] e_quivalence(A,B)|member($f11(B,A),B)|apply(A,$f13(B,A),$f12(B,A))|member($f16(B,A),B).
% 2.39/2.53  ** KEPT (pick-wt=21): 139 [] e_quivalence(A,B)|member($f11(B,A),B)|apply(A,$f13(B,A),$f12(B,A))|member($f15(B,A),B).
% 2.39/2.53  ** KEPT (pick-wt=21): 140 [] e_quivalence(A,B)|member($f11(B,A),B)|apply(A,$f13(B,A),$f12(B,A))|member($f14(B,A),B).
% 2.39/2.53  ** KEPT (pick-wt=24): 141 [] e_quivalence(A,B)|member($f11(B,A),B)|apply(A,$f13(B,A),$f12(B,A))|apply(A,$f16(B,A),$f15(B,A)).
% 2.39/2.53  ** KEPT (pick-wt=24): 142 [] e_quivalence(A,B)|member($f11(B,A),B)|apply(A,$f13(B,A),$f12(B,A))|apply(A,$f15(B,A),$f14(B,A)).
% 2.39/2.53  ** KEPT (pick-wt=13): 143 [] pre_order(A,B)|member($f17(A,B),B)|member($f20(A,B),B).
% 2.39/2.53  ** KEPT (pick-wt=13): 144 [] pre_order(A,B)|member($f17(A,B),B)|member($f19(A,B),B).
% 2.39/2.53  ** KEPT (pick-wt=13): 145 [] pre_order(A,B)|member($f17(A,B),B)|member($f18(A,B),B).
% 2.39/2.53  ** KEPT (pick-wt=16): 146 [] pre_order(A,B)|member($f17(A,B),B)|apply(A,$f20(A,B),$f19(A,B)).
% 2.39/2.53  ** KEPT (pick-wt=16): 147 [] pre_order(A,B)|member($f17(A,B),B)|apply(A,$f19(A,B),$f18(A,B)).
% 2.39/2.53  ** KEPT (pick-wt=3): 148 [] pre_order($c6,$c7).
% 2.39/2.53  ** KEPT (pick-wt=3): 149 [] member($c4,$c7).
% 2.39/2.53  ** KEPT (pick-wt=3): 150 [] member($c3,$c7).
% 2.39/2.53  ** KEPT (pick-wt=3): 151 [] member($c2,$c7).
% 2.39/2.53  ** KEPT (pick-wt=3): 152 [] member($c1,$c7).
% 2.39/2.53  ** KEPT (pick-wt=4): 153 [] apply($c5,$c4,$c2).
% 2.39/2.53  ** KEPT (pick-wt=4): 154 [] apply($c5,$c3,$c1).
% 2.39/2.53  ** KEPT (pick-wt=4): 155 [] apply($c6,$c4,$c3).
% 2.39/2.53    Following clause subsumed by 119 during input processing: 0 [copy,119,flip.1] A=A.
% 2.39/2.53  119 back subsumes 118.
% 2.39/2.53  119 back subsumes 111.
% 2.39/2.53  
% 2.39/2.53  ======= end of input processing =======
% 2.39/2.53  
% 2.39/2.53  =========== start of search ===========
% 2.39/2.53  
% 2.39/2.53  
% 2.39/2.53  Resetting weight limit to 6.
% 2.39/2.53  
% 2.39/2.53  
% 2.39/2.53  Resetting weight limit to 6.
% 2.39/2.53  
% 2.39/2.53  sos_size=1158
% 2.39/2.53  
% 2.39/2.53  -------- PROOF -------- 
% 2.39/2.53  
% 2.39/2.53  ----> UNIT CONFLICT at   0.28 sec ----> 1310 [binary,1309.1,104.1] $F.
% 2.39/2.53  
% 2.39/2.53  Length of proof is 4.  Level of proof is 3.
% 2.39/2.53  
% 2.39/2.53  ---------------- PROOF ----------------
% 2.39/2.53  % SZS status Theorem
% 2.39/2.53  % SZS output start Refutation
% See solution above
% 2.39/2.53  ------------ end of proof -------------
% 2.39/2.53  
% 2.39/2.53  
% 2.39/2.53  Search stopped by max_proofs option.
% 2.39/2.53  
% 2.39/2.53  
% 2.39/2.53  Search stopped by max_proofs option.
% 2.39/2.53  
% 2.39/2.53  ============ end of search ============
% 2.39/2.53  
% 2.39/2.53  -------------- statistics -------------
% 2.39/2.53  clauses given                 32
% 2.39/2.53  clauses generated           3755
% 2.39/2.53  clauses kept                1305
% 2.39/2.53  clauses forward subsumed    1757
% 2.39/2.53  clauses back subsumed          3
% 2.39/2.53  Kbytes malloced             5859
% 2.39/2.53  
% 2.39/2.53  ----------- times (seconds) -----------
% 2.39/2.53  user CPU time          0.29          (0 hr, 0 min, 0 sec)
% 2.39/2.53  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.39/2.53  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.39/2.53  
% 2.39/2.53  That finishes the proof of the theorem.
% 2.39/2.53  
% 2.39/2.53  Process 25504 finished Wed Jul 27 11:07:56 2022
% 2.39/2.53  Otter interrupted
% 2.39/2.53  PROOF FOUND
%------------------------------------------------------------------------------