TSTP Solution File: TOP050-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : TOP050-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.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  : 600s
% DateTime : Thu Jul 21 21:32:27 EDT 2022

% Result   : Unsatisfiable 1.37s 1.57s
% Output   : CNFRefutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  186
%            Number of leaves      :  431
% Syntax   : Number of clauses     : 1408 ( 621 unt;   0 nHn;1376 RR)
%            Number of literals    : 2569 (2568 equ;1163 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  32 con; 0-31 aty)
%            Number of variables   :   81 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(involutory_quandle,axiom,
    product(X,X) = X ).

cnf(involutory_quandle_01,axiom,
    product(product(X,Y),Y) = X ).

cnf(involutory_quandle_02,axiom,
    product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)) ).

cnf(knot,axiom,
    product(a1,a31) = a2 ).

cnf(knot_03,axiom,
    product(a2,a25) = a3 ).

cnf(knot_04,axiom,
    product(a3,a29) = a4 ).

cnf(knot_05,axiom,
    product(a4,a11) = a5 ).

cnf(knot_06,axiom,
    product(a5,a15) = a6 ).

cnf(knot_07,axiom,
    product(a7,a19) = a8 ).

cnf(knot_08,axiom,
    product(a8,a5) = a9 ).

cnf(knot_09,axiom,
    product(a9,a17) = a10 ).

cnf(knot_10,axiom,
    product(a10,a7) = a11 ).

cnf(knot_11,axiom,
    product(a11,a5) = a12 ).

cnf(knot_12,axiom,
    product(a12,a19) = a13 ).

cnf(knot_13,axiom,
    product(a13,a7) = a14 ).

cnf(knot_14,axiom,
    product(a14,a17) = a15 ).

cnf(knot_15,axiom,
    product(a15,a5) = a16 ).

cnf(knot_16,axiom,
    product(a16,a19) = a17 ).

cnf(knot_17,axiom,
    product(a17,a9) = a18 ).

cnf(knot_18,axiom,
    product(a18,a15) = a19 ).

cnf(knot_19,axiom,
    product(a19,a11) = a20 ).

cnf(knot_20,axiom,
    product(a20,a29) = a21 ).

cnf(knot_21,axiom,
    product(a21,a25) = a22 ).

cnf(knot_22,axiom,
    product(a22,a31) = a23 ).

cnf(knot_23,axiom,
    product(a23,a21) = a24 ).

cnf(knot_24,axiom,
    product(a24,a3) = a25 ).

cnf(knot_25,axiom,
    product(a25,a23) = a26 ).

cnf(knot_26,axiom,
    product(a26,a1) = a27 ).

cnf(knot_27,axiom,
    product(a27,a21) = a28 ).

cnf(knot_28,axiom,
    product(a28,a3) = a29 ).

cnf(knot_29,axiom,
    product(a29,a1) = a30 ).

cnf(knot_30,axiom,
    product(a30,a23) = a31 ).

cnf(knot_31,axiom,
    product(a31,a3) = a32 ).

cnf(knot_32,axiom,
    product(a32,a21) = a1 ).

cnf(goal,negated_conjecture,
    tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ).

cnf(refute_0_0,plain,
    product(a1,a1) = a1,
    inference(subst,[],[involutory_quandle:[bind(X,$fot(a1))]]) ).

cnf(refute_0_1,plain,
    product(product(a23,a25),a25) = a23,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a23)),bind(Y,$fot(a25))]]) ).

cnf(refute_0_2,plain,
    product(product(a22,X_4),a25) = product(product(a22,a25),product(X_4,a25)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a22)),bind(Y,$fot(X_4)),bind(Z,$fot(a25))]]) ).

cnf(refute_0_3,plain,
    product(product(a21,a25),a25) = a21,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a21)),bind(Y,$fot(a25))]]) ).

cnf(refute_0_4,plain,
    ( product(a21,a25) != a22
    | product(product(a21,a25),a25) != a21
    | product(a22,a25) = a21 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a21,a25),a25),a21) ),[0,0],$fot(a22)]]) ).

cnf(refute_0_5,plain,
    ( product(product(a21,a25),a25) != a21
    | product(a22,a25) = a21 ),
    inference(resolve,[$cnf( $equal(product(a21,a25),a22) )],[knot_21,refute_0_4]) ).

cnf(refute_0_6,plain,
    product(a22,a25) = a21,
    inference(resolve,[$cnf( $equal(product(product(a21,a25),a25),a21) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( product(a22,a25) != a21
    | product(product(a22,X_4),a25) != product(product(a22,a25),product(X_4,a25))
    | product(product(a22,X_4),a25) = product(a21,product(X_4,a25)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a22,X_4),a25),product(product(a22,a25),product(X_4,a25))) ),[1,0],$fot(a21)]]) ).

cnf(refute_0_8,plain,
    ( product(product(a22,X_4),a25) != product(product(a22,a25),product(X_4,a25))
    | product(product(a22,X_4),a25) = product(a21,product(X_4,a25)) ),
    inference(resolve,[$cnf( $equal(product(a22,a25),a21) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    product(product(a22,X_4),a25) = product(a21,product(X_4,a25)),
    inference(resolve,[$cnf( $equal(product(product(a22,X_4),a25),product(product(a22,a25),product(X_4,a25))) )],[refute_0_2,refute_0_8]) ).

cnf(refute_0_10,plain,
    product(product(a22,a31),a25) = product(a21,product(a31,a25)),
    inference(subst,[],[refute_0_9:[bind(X_4,$fot(a31))]]) ).

cnf(refute_0_11,plain,
    ( product(a22,a31) != a23
    | product(product(a22,a31),a25) != product(a21,product(a31,a25))
    | product(a23,a25) = product(a21,product(a31,a25)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a22,a31),a25),product(a21,product(a31,a25))) ),[0,0],$fot(a23)]]) ).

cnf(refute_0_12,plain,
    ( product(product(a22,a31),a25) != product(a21,product(a31,a25))
    | product(a23,a25) = product(a21,product(a31,a25)) ),
    inference(resolve,[$cnf( $equal(product(a22,a31),a23) )],[knot_22,refute_0_11]) ).

cnf(refute_0_13,plain,
    product(a23,a25) = product(a21,product(a31,a25)),
    inference(resolve,[$cnf( $equal(product(product(a22,a31),a25),product(a21,product(a31,a25))) )],[refute_0_10,refute_0_12]) ).

cnf(refute_0_14,plain,
    product(product(X_3,a22),a25) = product(product(X_3,a25),product(a22,a25)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a22)),bind(Z,$fot(a25))]]) ).

cnf(refute_0_15,plain,
    ( product(a22,a25) != a21
    | product(product(X_3,a22),a25) != product(product(X_3,a25),product(a22,a25))
    | product(product(X_3,a22),a25) = product(product(X_3,a25),a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a22),a25),product(product(X_3,a25),product(a22,a25))) ),[1,1],$fot(a21)]]) ).

cnf(refute_0_16,plain,
    ( product(product(X_3,a22),a25) != product(product(X_3,a25),product(a22,a25))
    | product(product(X_3,a22),a25) = product(product(X_3,a25),a21) ),
    inference(resolve,[$cnf( $equal(product(a22,a25),a21) )],[refute_0_6,refute_0_15]) ).

cnf(refute_0_17,plain,
    product(product(X_3,a22),a25) = product(product(X_3,a25),a21),
    inference(resolve,[$cnf( $equal(product(product(X_3,a22),a25),product(product(X_3,a25),product(a22,a25))) )],[refute_0_14,refute_0_16]) ).

cnf(refute_0_18,plain,
    product(product(product(a30,a31),a22),a25) = product(product(product(a30,a31),a25),a21),
    inference(subst,[],[refute_0_17:[bind(X_3,$fot(product(a30,a31)))]]) ).

cnf(refute_0_19,plain,
    product(product(X_3,a25),a3) = product(product(X_3,a3),product(a25,a3)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a25)),bind(Z,$fot(a3))]]) ).

cnf(refute_0_20,plain,
    product(product(a24,a3),a3) = a24,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a24)),bind(Y,$fot(a3))]]) ).

cnf(refute_0_21,plain,
    ( product(a24,a3) != a25
    | product(product(a24,a3),a3) != a24
    | product(a25,a3) = a24 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a24,a3),a3),a24) ),[0,0],$fot(a25)]]) ).

cnf(refute_0_22,plain,
    ( product(product(a24,a3),a3) != a24
    | product(a25,a3) = a24 ),
    inference(resolve,[$cnf( $equal(product(a24,a3),a25) )],[knot_24,refute_0_21]) ).

cnf(refute_0_23,plain,
    product(a25,a3) = a24,
    inference(resolve,[$cnf( $equal(product(product(a24,a3),a3),a24) )],[refute_0_20,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( product(a25,a3) != a24
    | product(product(X_3,a25),a3) != product(product(X_3,a3),product(a25,a3))
    | product(product(X_3,a25),a3) = product(product(X_3,a3),a24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a25),a3),product(product(X_3,a3),product(a25,a3))) ),[1,1],$fot(a24)]]) ).

cnf(refute_0_25,plain,
    ( product(product(X_3,a25),a3) != product(product(X_3,a3),product(a25,a3))
    | product(product(X_3,a25),a3) = product(product(X_3,a3),a24) ),
    inference(resolve,[$cnf( $equal(product(a25,a3),a24) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    product(product(X_3,a25),a3) = product(product(X_3,a3),a24),
    inference(resolve,[$cnf( $equal(product(product(X_3,a25),a3),product(product(X_3,a3),product(a25,a3))) )],[refute_0_19,refute_0_25]) ).

cnf(refute_0_27,plain,
    product(product(X_3,a2),a25) = product(product(X_3,a25),product(a2,a25)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a2)),bind(Z,$fot(a25))]]) ).

cnf(refute_0_28,plain,
    ( product(a2,a25) != a3
    | product(product(X_3,a2),a25) != product(product(X_3,a25),product(a2,a25))
    | product(product(X_3,a2),a25) = product(product(X_3,a25),a3) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a2),a25),product(product(X_3,a25),product(a2,a25))) ),[1,1],$fot(a3)]]) ).

cnf(refute_0_29,plain,
    ( product(product(X_3,a2),a25) != product(product(X_3,a25),product(a2,a25))
    | product(product(X_3,a2),a25) = product(product(X_3,a25),a3) ),
    inference(resolve,[$cnf( $equal(product(a2,a25),a3) )],[knot_03,refute_0_28]) ).

cnf(refute_0_30,plain,
    product(product(X_3,a2),a25) = product(product(X_3,a25),a3),
    inference(resolve,[$cnf( $equal(product(product(X_3,a2),a25),product(product(X_3,a25),product(a2,a25))) )],[refute_0_27,refute_0_29]) ).

cnf(refute_0_31,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_32,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_33,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( product(product(X_3,a2),a25) != product(product(X_3,a25),a3)
    | product(product(X_3,a25),a3) = product(product(X_3,a2),a25) ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(product(product(X_3,a2),a25))),bind(Y0,$fot(product(product(X_3,a25),a3)))]]) ).

cnf(refute_0_35,plain,
    product(product(X_3,a25),a3) = product(product(X_3,a2),a25),
    inference(resolve,[$cnf( $equal(product(product(X_3,a2),a25),product(product(X_3,a25),a3)) )],[refute_0_30,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( product(product(X_3,a25),a3) != product(product(X_3,a2),a25)
    | product(product(X_3,a25),a3) != product(product(X_3,a3),a24)
    | product(product(X_3,a2),a25) = product(product(X_3,a3),a24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a25),a3),product(product(X_3,a3),a24)) ),[0],$fot(product(product(X_3,a2),a25))]]) ).

cnf(refute_0_37,plain,
    ( product(product(X_3,a25),a3) != product(product(X_3,a3),a24)
    | product(product(X_3,a2),a25) = product(product(X_3,a3),a24) ),
    inference(resolve,[$cnf( $equal(product(product(X_3,a25),a3),product(product(X_3,a2),a25)) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    product(product(X_3,a2),a25) = product(product(X_3,a3),a24),
    inference(resolve,[$cnf( $equal(product(product(X_3,a25),a3),product(product(X_3,a3),a24)) )],[refute_0_26,refute_0_37]) ).

cnf(refute_0_39,plain,
    product(product(product(X,a3),a2),a25) = product(product(product(X,a3),a3),a24),
    inference(subst,[],[refute_0_38:[bind(X_3,$fot(product(X,a3)))]]) ).

cnf(refute_0_40,plain,
    product(product(X,a3),a3) = X,
    inference(subst,[],[involutory_quandle_01:[bind(Y,$fot(a3))]]) ).

cnf(refute_0_41,plain,
    ( product(product(X,a3),a3) != X
    | product(product(product(X,a3),a2),a25) != product(product(product(X,a3),a3),a24)
    | product(product(product(X,a3),a2),a25) = product(X,a24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X,a3),a2),a25),product(product(product(X,a3),a3),a24)) ),[1,0],$fot(X)]]) ).

cnf(refute_0_42,plain,
    ( product(product(product(X,a3),a2),a25) != product(product(product(X,a3),a3),a24)
    | product(product(product(X,a3),a2),a25) = product(X,a24) ),
    inference(resolve,[$cnf( $equal(product(product(X,a3),a3),X) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    product(product(product(X,a3),a2),a25) = product(X,a24),
    inference(resolve,[$cnf( $equal(product(product(product(X,a3),a2),a25),product(product(product(X,a3),a3),a24)) )],[refute_0_39,refute_0_42]) ).

cnf(refute_0_44,plain,
    product(product(product(product(a26,a21),a3),a2),a25) = product(product(a26,a21),a24),
    inference(subst,[],[refute_0_43:[bind(X,$fot(product(a26,a21)))]]) ).

cnf(refute_0_45,plain,
    product(product(X_3,a32),a3) = product(product(X_3,a3),product(a32,a3)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a32)),bind(Z,$fot(a3))]]) ).

cnf(refute_0_46,plain,
    product(product(a31,a3),a3) = a31,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a31)),bind(Y,$fot(a3))]]) ).

cnf(refute_0_47,plain,
    ( product(a31,a3) != a32
    | product(product(a31,a3),a3) != a31
    | product(a32,a3) = a31 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a31,a3),a3),a31) ),[0,0],$fot(a32)]]) ).

cnf(refute_0_48,plain,
    ( product(product(a31,a3),a3) != a31
    | product(a32,a3) = a31 ),
    inference(resolve,[$cnf( $equal(product(a31,a3),a32) )],[knot_31,refute_0_47]) ).

cnf(refute_0_49,plain,
    product(a32,a3) = a31,
    inference(resolve,[$cnf( $equal(product(product(a31,a3),a3),a31) )],[refute_0_46,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( product(a32,a3) != a31
    | product(product(X_3,a32),a3) != product(product(X_3,a3),product(a32,a3))
    | product(product(X_3,a32),a3) = product(product(X_3,a3),a31) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a32),a3),product(product(X_3,a3),product(a32,a3))) ),[1,1],$fot(a31)]]) ).

cnf(refute_0_51,plain,
    ( product(product(X_3,a32),a3) != product(product(X_3,a3),product(a32,a3))
    | product(product(X_3,a32),a3) = product(product(X_3,a3),a31) ),
    inference(resolve,[$cnf( $equal(product(a32,a3),a31) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    product(product(X_3,a32),a3) = product(product(X_3,a3),a31),
    inference(resolve,[$cnf( $equal(product(product(X_3,a32),a3),product(product(X_3,a3),product(a32,a3))) )],[refute_0_45,refute_0_51]) ).

cnf(refute_0_53,plain,
    product(product(a28,a32),a3) = product(product(a28,a3),a31),
    inference(subst,[],[refute_0_52:[bind(X_3,$fot(a28))]]) ).

cnf(refute_0_54,plain,
    product(product(a27,X_4),a21) = product(product(a27,a21),product(X_4,a21)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a27)),bind(Y,$fot(X_4)),bind(Z,$fot(a21))]]) ).

cnf(refute_0_55,plain,
    ( product(a27,a21) != a28
    | product(product(a27,X_4),a21) != product(product(a27,a21),product(X_4,a21))
    | product(product(a27,X_4),a21) = product(a28,product(X_4,a21)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a27,X_4),a21),product(product(a27,a21),product(X_4,a21))) ),[1,0],$fot(a28)]]) ).

cnf(refute_0_56,plain,
    ( product(product(a27,X_4),a21) != product(product(a27,a21),product(X_4,a21))
    | product(product(a27,X_4),a21) = product(a28,product(X_4,a21)) ),
    inference(resolve,[$cnf( $equal(product(a27,a21),a28) )],[knot_27,refute_0_55]) ).

cnf(refute_0_57,plain,
    product(product(a27,X_4),a21) = product(a28,product(X_4,a21)),
    inference(resolve,[$cnf( $equal(product(product(a27,X_4),a21),product(product(a27,a21),product(X_4,a21))) )],[refute_0_54,refute_0_56]) ).

cnf(refute_0_58,plain,
    product(product(a27,a1),a21) = product(a28,product(a1,a21)),
    inference(subst,[],[refute_0_57:[bind(X_4,$fot(a1))]]) ).

cnf(refute_0_59,plain,
    product(product(a26,a1),a1) = a26,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a26)),bind(Y,$fot(a1))]]) ).

cnf(refute_0_60,plain,
    ( product(a26,a1) != a27
    | product(product(a26,a1),a1) != a26
    | product(a27,a1) = a26 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a26,a1),a1),a26) ),[0,0],$fot(a27)]]) ).

cnf(refute_0_61,plain,
    ( product(product(a26,a1),a1) != a26
    | product(a27,a1) = a26 ),
    inference(resolve,[$cnf( $equal(product(a26,a1),a27) )],[knot_26,refute_0_60]) ).

cnf(refute_0_62,plain,
    product(a27,a1) = a26,
    inference(resolve,[$cnf( $equal(product(product(a26,a1),a1),a26) )],[refute_0_59,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( product(a27,a1) != a26
    | product(product(a27,a1),a21) != product(a28,product(a1,a21))
    | product(a26,a21) = product(a28,product(a1,a21)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a27,a1),a21),product(a28,product(a1,a21))) ),[0,0],$fot(a26)]]) ).

cnf(refute_0_64,plain,
    ( product(product(a27,a1),a21) != product(a28,product(a1,a21))
    | product(a26,a21) = product(a28,product(a1,a21)) ),
    inference(resolve,[$cnf( $equal(product(a27,a1),a26) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    product(a26,a21) = product(a28,product(a1,a21)),
    inference(resolve,[$cnf( $equal(product(product(a27,a1),a21),product(a28,product(a1,a21))) )],[refute_0_58,refute_0_64]) ).

cnf(refute_0_66,plain,
    product(product(a32,a21),a21) = a32,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a32)),bind(Y,$fot(a21))]]) ).

cnf(refute_0_67,plain,
    ( product(a32,a21) != a1
    | product(product(a32,a21),a21) != a32
    | product(a1,a21) = a32 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a32,a21),a21),a32) ),[0,0],$fot(a1)]]) ).

cnf(refute_0_68,plain,
    ( product(product(a32,a21),a21) != a32
    | product(a1,a21) = a32 ),
    inference(resolve,[$cnf( $equal(product(a32,a21),a1) )],[knot_32,refute_0_67]) ).

cnf(refute_0_69,plain,
    product(a1,a21) = a32,
    inference(resolve,[$cnf( $equal(product(product(a32,a21),a21),a32) )],[refute_0_66,refute_0_68]) ).

cnf(refute_0_70,plain,
    product(a28,product(a1,a21)) = product(a28,product(a1,a21)),
    introduced(tautology,[refl,[$fot(product(a28,product(a1,a21)))]]) ).

cnf(refute_0_71,plain,
    ( product(a1,a21) != a32
    | product(a28,product(a1,a21)) != product(a28,product(a1,a21))
    | product(a28,product(a1,a21)) = product(a28,a32) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a28,product(a1,a21)),product(a28,product(a1,a21))) ),[1,1],$fot(a32)]]) ).

cnf(refute_0_72,plain,
    ( product(a1,a21) != a32
    | product(a28,product(a1,a21)) = product(a28,a32) ),
    inference(resolve,[$cnf( $equal(product(a28,product(a1,a21)),product(a28,product(a1,a21))) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    product(a28,product(a1,a21)) = product(a28,a32),
    inference(resolve,[$cnf( $equal(product(a1,a21),a32) )],[refute_0_69,refute_0_72]) ).

cnf(refute_0_74,plain,
    ( product(a26,a21) != product(a28,product(a1,a21))
    | product(a28,product(a1,a21)) != product(a28,a32)
    | product(a26,a21) = product(a28,a32) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a26,a21),product(a28,a32)) ),[0],$fot(product(a28,product(a1,a21)))]]) ).

cnf(refute_0_75,plain,
    ( product(a26,a21) != product(a28,product(a1,a21))
    | product(a26,a21) = product(a28,a32) ),
    inference(resolve,[$cnf( $equal(product(a28,product(a1,a21)),product(a28,a32)) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    product(a26,a21) = product(a28,a32),
    inference(resolve,[$cnf( $equal(product(a26,a21),product(a28,product(a1,a21))) )],[refute_0_65,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( product(a26,a21) != product(a28,a32)
    | product(a28,a32) = product(a26,a21) ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(product(a26,a21))),bind(Y0,$fot(product(a28,a32)))]]) ).

cnf(refute_0_78,plain,
    product(a28,a32) = product(a26,a21),
    inference(resolve,[$cnf( $equal(product(a26,a21),product(a28,a32)) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( product(a28,a32) != product(a26,a21)
    | product(product(a28,a32),a3) != product(product(a28,a3),a31)
    | product(product(a26,a21),a3) = product(product(a28,a3),a31) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a28,a32),a3),product(product(a28,a3),a31)) ),[0,0],$fot(product(a26,a21))]]) ).

cnf(refute_0_80,plain,
    ( product(product(a28,a32),a3) != product(product(a28,a3),a31)
    | product(product(a26,a21),a3) = product(product(a28,a3),a31) ),
    inference(resolve,[$cnf( $equal(product(a28,a32),product(a26,a21)) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    product(product(a26,a21),a3) = product(product(a28,a3),a31),
    inference(resolve,[$cnf( $equal(product(product(a28,a32),a3),product(product(a28,a3),a31)) )],[refute_0_53,refute_0_80]) ).

cnf(refute_0_82,plain,
    product(product(a28,a3),a31) = product(product(a28,a3),a31),
    introduced(tautology,[refl,[$fot(product(product(a28,a3),a31))]]) ).

cnf(refute_0_83,plain,
    ( product(a28,a3) != a29
    | product(product(a28,a3),a31) != product(product(a28,a3),a31)
    | product(product(a28,a3),a31) = product(a29,a31) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a28,a3),a31),product(product(a28,a3),a31)) ),[1,0],$fot(a29)]]) ).

cnf(refute_0_84,plain,
    ( product(a28,a3) != a29
    | product(product(a28,a3),a31) = product(a29,a31) ),
    inference(resolve,[$cnf( $equal(product(product(a28,a3),a31),product(product(a28,a3),a31)) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    product(product(a28,a3),a31) = product(a29,a31),
    inference(resolve,[$cnf( $equal(product(a28,a3),a29) )],[knot_28,refute_0_84]) ).

cnf(refute_0_86,plain,
    ( product(product(a26,a21),a3) != product(product(a28,a3),a31)
    | product(product(a28,a3),a31) != product(a29,a31)
    | product(product(a26,a21),a3) = product(a29,a31) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a26,a21),a3),product(a29,a31)) ),[0],$fot(product(product(a28,a3),a31))]]) ).

cnf(refute_0_87,plain,
    ( product(product(a26,a21),a3) != product(product(a28,a3),a31)
    | product(product(a26,a21),a3) = product(a29,a31) ),
    inference(resolve,[$cnf( $equal(product(product(a28,a3),a31),product(a29,a31)) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    product(product(a26,a21),a3) = product(a29,a31),
    inference(resolve,[$cnf( $equal(product(product(a26,a21),a3),product(product(a28,a3),a31)) )],[refute_0_81,refute_0_87]) ).

cnf(refute_0_89,plain,
    ( product(product(a26,a21),a3) != product(a29,a31)
    | product(product(product(product(a26,a21),a3),a2),a25) != product(product(a26,a21),a24)
    | product(product(product(a29,a31),a2),a25) = product(product(a26,a21),a24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a26,a21),a3),a2),a25),product(product(a26,a21),a24)) ),[0,0,0],$fot(product(a29,a31))]]) ).

cnf(refute_0_90,plain,
    ( product(product(product(product(a26,a21),a3),a2),a25) != product(product(a26,a21),a24)
    | product(product(product(a29,a31),a2),a25) = product(product(a26,a21),a24) ),
    inference(resolve,[$cnf( $equal(product(product(a26,a21),a3),product(a29,a31)) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    product(product(product(a29,a31),a2),a25) = product(product(a26,a21),a24),
    inference(resolve,[$cnf( $equal(product(product(product(product(a26,a21),a3),a2),a25),product(product(a26,a21),a24)) )],[refute_0_44,refute_0_90]) ).

cnf(refute_0_92,plain,
    product(product(a29,a1),a31) = product(product(a29,a1),a31),
    introduced(tautology,[refl,[$fot(product(product(a29,a1),a31))]]) ).

cnf(refute_0_93,plain,
    ( product(a29,a1) != a30
    | product(product(a29,a1),a31) != product(product(a29,a1),a31)
    | product(product(a29,a1),a31) = product(a30,a31) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a29,a1),a31),product(product(a29,a1),a31)) ),[1,0],$fot(a30)]]) ).

cnf(refute_0_94,plain,
    ( product(a29,a1) != a30
    | product(product(a29,a1),a31) = product(a30,a31) ),
    inference(resolve,[$cnf( $equal(product(product(a29,a1),a31),product(product(a29,a1),a31)) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    product(product(a29,a1),a31) = product(a30,a31),
    inference(resolve,[$cnf( $equal(product(a29,a1),a30) )],[knot_29,refute_0_94]) ).

cnf(refute_0_96,plain,
    product(product(X_3,a1),a31) = product(product(X_3,a31),product(a1,a31)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a1)),bind(Z,$fot(a31))]]) ).

cnf(refute_0_97,plain,
    ( product(a1,a31) != a2
    | product(product(X_3,a1),a31) != product(product(X_3,a31),product(a1,a31))
    | product(product(X_3,a1),a31) = product(product(X_3,a31),a2) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a1),a31),product(product(X_3,a31),product(a1,a31))) ),[1,1],$fot(a2)]]) ).

cnf(refute_0_98,plain,
    ( product(product(X_3,a1),a31) != product(product(X_3,a31),product(a1,a31))
    | product(product(X_3,a1),a31) = product(product(X_3,a31),a2) ),
    inference(resolve,[$cnf( $equal(product(a1,a31),a2) )],[knot,refute_0_97]) ).

cnf(refute_0_99,plain,
    product(product(X_3,a1),a31) = product(product(X_3,a31),a2),
    inference(resolve,[$cnf( $equal(product(product(X_3,a1),a31),product(product(X_3,a31),product(a1,a31))) )],[refute_0_96,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( product(product(X_3,a1),a31) != product(product(X_3,a31),a2)
    | product(product(X_3,a31),a2) = product(product(X_3,a1),a31) ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(product(product(X_3,a1),a31))),bind(Y0,$fot(product(product(X_3,a31),a2)))]]) ).

cnf(refute_0_101,plain,
    product(product(X_3,a31),a2) = product(product(X_3,a1),a31),
    inference(resolve,[$cnf( $equal(product(product(X_3,a1),a31),product(product(X_3,a31),a2)) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    product(product(a29,a31),a2) = product(product(a29,a1),a31),
    inference(subst,[],[refute_0_101:[bind(X_3,$fot(a29))]]) ).

cnf(refute_0_103,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_104,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_33,refute_0_103]) ).

cnf(refute_0_105,plain,
    ( product(product(a29,a1),a31) != product(a30,a31)
    | product(product(a29,a31),a2) != product(product(a29,a1),a31)
    | product(product(a29,a31),a2) = product(a30,a31) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(product(a29,a31),a2))),bind(Y0,$fot(product(product(a29,a1),a31))),bind(Z0,$fot(product(a30,a31)))]]) ).

cnf(refute_0_106,plain,
    ( product(product(a29,a1),a31) != product(a30,a31)
    | product(product(a29,a31),a2) = product(a30,a31) ),
    inference(resolve,[$cnf( $equal(product(product(a29,a31),a2),product(product(a29,a1),a31)) )],[refute_0_102,refute_0_105]) ).

cnf(refute_0_107,plain,
    product(product(a29,a31),a2) = product(a30,a31),
    inference(resolve,[$cnf( $equal(product(product(a29,a1),a31),product(a30,a31)) )],[refute_0_95,refute_0_106]) ).

cnf(refute_0_108,plain,
    product(product(product(a29,a31),a2),a25) = product(product(product(a29,a31),a2),a25),
    introduced(tautology,[refl,[$fot(product(product(product(a29,a31),a2),a25))]]) ).

cnf(refute_0_109,plain,
    ( product(product(a29,a31),a2) != product(a30,a31)
    | product(product(product(a29,a31),a2),a25) != product(product(product(a29,a31),a2),a25)
    | product(product(product(a29,a31),a2),a25) = product(product(a30,a31),a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a29,a31),a2),a25),product(product(product(a29,a31),a2),a25)) ),[1,0],$fot(product(a30,a31))]]) ).

cnf(refute_0_110,plain,
    ( product(product(a29,a31),a2) != product(a30,a31)
    | product(product(product(a29,a31),a2),a25) = product(product(a30,a31),a25) ),
    inference(resolve,[$cnf( $equal(product(product(product(a29,a31),a2),a25),product(product(product(a29,a31),a2),a25)) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    product(product(product(a29,a31),a2),a25) = product(product(a30,a31),a25),
    inference(resolve,[$cnf( $equal(product(product(a29,a31),a2),product(a30,a31)) )],[refute_0_107,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( product(product(product(a29,a31),a2),a25) != product(product(a26,a21),a24)
    | product(product(product(a29,a31),a2),a25) != product(product(a30,a31),a25)
    | product(product(a30,a31),a25) = product(product(a26,a21),a24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a29,a31),a2),a25),product(product(a26,a21),a24)) ),[0],$fot(product(product(a30,a31),a25))]]) ).

cnf(refute_0_113,plain,
    ( product(product(product(a29,a31),a2),a25) != product(product(a26,a21),a24)
    | product(product(a30,a31),a25) = product(product(a26,a21),a24) ),
    inference(resolve,[$cnf( $equal(product(product(product(a29,a31),a2),a25),product(product(a30,a31),a25)) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    product(product(a30,a31),a25) = product(product(a26,a21),a24),
    inference(resolve,[$cnf( $equal(product(product(product(a29,a31),a2),a25),product(product(a26,a21),a24)) )],[refute_0_91,refute_0_113]) ).

cnf(refute_0_115,plain,
    ( product(product(a30,a31),a25) != product(product(a26,a21),a24)
    | product(product(product(a30,a31),a22),a25) != product(product(product(a30,a31),a25),a21)
    | product(product(product(a30,a31),a22),a25) = product(product(product(a26,a21),a24),a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(product(product(a30,a31),a25),a21)) ),[1,0],$fot(product(product(a26,a21),a24))]]) ).

cnf(refute_0_116,plain,
    ( product(product(product(a30,a31),a22),a25) != product(product(product(a30,a31),a25),a21)
    | product(product(product(a30,a31),a22),a25) = product(product(product(a26,a21),a24),a21) ),
    inference(resolve,[$cnf( $equal(product(product(a30,a31),a25),product(product(a26,a21),a24)) )],[refute_0_114,refute_0_115]) ).

cnf(refute_0_117,plain,
    product(product(product(a30,a31),a22),a25) = product(product(product(a26,a21),a24),a21),
    inference(resolve,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(product(product(a30,a31),a25),a21)) )],[refute_0_18,refute_0_116]) ).

cnf(refute_0_118,plain,
    product(a31,a31) = a31,
    inference(subst,[],[involutory_quandle:[bind(X,$fot(a31))]]) ).

cnf(refute_0_119,plain,
    product(product(a30,a23),a31) = product(product(a30,a23),a31),
    introduced(tautology,[refl,[$fot(product(product(a30,a23),a31))]]) ).

cnf(refute_0_120,plain,
    ( product(a30,a23) != a31
    | product(product(a30,a23),a31) != product(product(a30,a23),a31)
    | product(product(a30,a23),a31) = product(a31,a31) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a30,a23),a31),product(product(a30,a23),a31)) ),[1,0],$fot(a31)]]) ).

cnf(refute_0_121,plain,
    ( product(a30,a23) != a31
    | product(product(a30,a23),a31) = product(a31,a31) ),
    inference(resolve,[$cnf( $equal(product(product(a30,a23),a31),product(product(a30,a23),a31)) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    product(product(a30,a23),a31) = product(a31,a31),
    inference(resolve,[$cnf( $equal(product(a30,a23),a31) )],[knot_30,refute_0_121]) ).

cnf(refute_0_123,plain,
    ( product(a31,a31) != a31
    | product(product(a30,a23),a31) != product(a31,a31)
    | product(product(a30,a23),a31) = a31 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(product(a30,a23),a31))),bind(Y0,$fot(product(a31,a31))),bind(Z0,$fot(a31))]]) ).

cnf(refute_0_124,plain,
    ( product(a31,a31) != a31
    | product(product(a30,a23),a31) = a31 ),
    inference(resolve,[$cnf( $equal(product(product(a30,a23),a31),product(a31,a31)) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    product(product(a30,a23),a31) = a31,
    inference(resolve,[$cnf( $equal(product(a31,a31),a31) )],[refute_0_118,refute_0_124]) ).

cnf(refute_0_126,plain,
    product(product(X_3,a23),a31) = product(product(X_3,a31),product(a23,a31)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a23)),bind(Z,$fot(a31))]]) ).

cnf(refute_0_127,plain,
    product(product(a22,a31),a31) = a22,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a22)),bind(Y,$fot(a31))]]) ).

cnf(refute_0_128,plain,
    ( product(a22,a31) != a23
    | product(product(a22,a31),a31) != a22
    | product(a23,a31) = a22 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a22,a31),a31),a22) ),[0,0],$fot(a23)]]) ).

cnf(refute_0_129,plain,
    ( product(product(a22,a31),a31) != a22
    | product(a23,a31) = a22 ),
    inference(resolve,[$cnf( $equal(product(a22,a31),a23) )],[knot_22,refute_0_128]) ).

cnf(refute_0_130,plain,
    product(a23,a31) = a22,
    inference(resolve,[$cnf( $equal(product(product(a22,a31),a31),a22) )],[refute_0_127,refute_0_129]) ).

cnf(refute_0_131,plain,
    ( product(a23,a31) != a22
    | product(product(X_3,a23),a31) != product(product(X_3,a31),product(a23,a31))
    | product(product(X_3,a23),a31) = product(product(X_3,a31),a22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a23),a31),product(product(X_3,a31),product(a23,a31))) ),[1,1],$fot(a22)]]) ).

cnf(refute_0_132,plain,
    ( product(product(X_3,a23),a31) != product(product(X_3,a31),product(a23,a31))
    | product(product(X_3,a23),a31) = product(product(X_3,a31),a22) ),
    inference(resolve,[$cnf( $equal(product(a23,a31),a22) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    product(product(X_3,a23),a31) = product(product(X_3,a31),a22),
    inference(resolve,[$cnf( $equal(product(product(X_3,a23),a31),product(product(X_3,a31),product(a23,a31))) )],[refute_0_126,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( product(product(X_3,a23),a31) != product(product(X_3,a31),a22)
    | product(product(X_3,a31),a22) = product(product(X_3,a23),a31) ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(product(product(X_3,a23),a31))),bind(Y0,$fot(product(product(X_3,a31),a22)))]]) ).

cnf(refute_0_135,plain,
    product(product(X_3,a31),a22) = product(product(X_3,a23),a31),
    inference(resolve,[$cnf( $equal(product(product(X_3,a23),a31),product(product(X_3,a31),a22)) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    product(product(a30,a31),a22) = product(product(a30,a23),a31),
    inference(subst,[],[refute_0_135:[bind(X_3,$fot(a30))]]) ).

cnf(refute_0_137,plain,
    ( product(product(a30,a23),a31) != a31
    | product(product(a30,a31),a22) != product(product(a30,a23),a31)
    | product(product(a30,a31),a22) = a31 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(product(a30,a31),a22))),bind(Y0,$fot(product(product(a30,a23),a31))),bind(Z0,$fot(a31))]]) ).

cnf(refute_0_138,plain,
    ( product(product(a30,a23),a31) != a31
    | product(product(a30,a31),a22) = a31 ),
    inference(resolve,[$cnf( $equal(product(product(a30,a31),a22),product(product(a30,a23),a31)) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    product(product(a30,a31),a22) = a31,
    inference(resolve,[$cnf( $equal(product(product(a30,a23),a31),a31) )],[refute_0_125,refute_0_138]) ).

cnf(refute_0_140,plain,
    product(product(product(a30,a31),a22),a25) = product(product(product(a30,a31),a22),a25),
    introduced(tautology,[refl,[$fot(product(product(product(a30,a31),a22),a25))]]) ).

cnf(refute_0_141,plain,
    ( product(product(a30,a31),a22) != a31
    | product(product(product(a30,a31),a22),a25) != product(product(product(a30,a31),a22),a25)
    | product(product(product(a30,a31),a22),a25) = product(a31,a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(product(product(a30,a31),a22),a25)) ),[1,0],$fot(a31)]]) ).

cnf(refute_0_142,plain,
    ( product(product(a30,a31),a22) != a31
    | product(product(product(a30,a31),a22),a25) = product(a31,a25) ),
    inference(resolve,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(product(product(a30,a31),a22),a25)) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    product(product(product(a30,a31),a22),a25) = product(a31,a25),
    inference(resolve,[$cnf( $equal(product(product(a30,a31),a22),a31) )],[refute_0_139,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( product(product(product(a30,a31),a22),a25) != product(a31,a25)
    | product(product(product(a30,a31),a22),a25) != product(product(product(a26,a21),a24),a21)
    | product(a31,a25) = product(product(product(a26,a21),a24),a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(product(product(a26,a21),a24),a21)) ),[0],$fot(product(a31,a25))]]) ).

cnf(refute_0_145,plain,
    ( product(product(product(a30,a31),a22),a25) != product(product(product(a26,a21),a24),a21)
    | product(a31,a25) = product(product(product(a26,a21),a24),a21) ),
    inference(resolve,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(a31,a25)) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    product(product(a25,a23),a23) = a25,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a25)),bind(Y,$fot(a23))]]) ).

cnf(refute_0_147,plain,
    ( product(a25,a23) != a26
    | product(product(a25,a23),a23) != a25
    | product(a26,a23) = a25 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a25,a23),a23),a25) ),[0,0],$fot(a26)]]) ).

cnf(refute_0_148,plain,
    ( product(product(a25,a23),a23) != a25
    | product(a26,a23) = a25 ),
    inference(resolve,[$cnf( $equal(product(a25,a23),a26) )],[knot_25,refute_0_147]) ).

cnf(refute_0_149,plain,
    product(a26,a23) = a25,
    inference(resolve,[$cnf( $equal(product(product(a25,a23),a23),a25) )],[refute_0_146,refute_0_148]) ).

cnf(refute_0_150,plain,
    product(product(a23,a21),a21) = a23,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a23)),bind(Y,$fot(a21))]]) ).

cnf(refute_0_151,plain,
    ( product(a23,a21) != a24
    | product(product(a23,a21),a21) != a23
    | product(a24,a21) = a23 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a23,a21),a21),a23) ),[0,0],$fot(a24)]]) ).

cnf(refute_0_152,plain,
    ( product(product(a23,a21),a21) != a23
    | product(a24,a21) = a23 ),
    inference(resolve,[$cnf( $equal(product(a23,a21),a24) )],[knot_23,refute_0_151]) ).

cnf(refute_0_153,plain,
    product(a24,a21) = a23,
    inference(resolve,[$cnf( $equal(product(product(a23,a21),a21),a23) )],[refute_0_150,refute_0_152]) ).

cnf(refute_0_154,plain,
    product(a26,product(a24,a21)) = product(a26,product(a24,a21)),
    introduced(tautology,[refl,[$fot(product(a26,product(a24,a21)))]]) ).

cnf(refute_0_155,plain,
    ( product(a24,a21) != a23
    | product(a26,product(a24,a21)) != product(a26,product(a24,a21))
    | product(a26,product(a24,a21)) = product(a26,a23) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a26,product(a24,a21)),product(a26,product(a24,a21))) ),[1,1],$fot(a23)]]) ).

cnf(refute_0_156,plain,
    ( product(a24,a21) != a23
    | product(a26,product(a24,a21)) = product(a26,a23) ),
    inference(resolve,[$cnf( $equal(product(a26,product(a24,a21)),product(a26,product(a24,a21))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    product(a26,product(a24,a21)) = product(a26,a23),
    inference(resolve,[$cnf( $equal(product(a24,a21),a23) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( product(a26,a23) != a25
    | product(a26,product(a24,a21)) != product(a26,a23)
    | product(a26,product(a24,a21)) = a25 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a26,product(a24,a21)))),bind(Y0,$fot(product(a26,a23))),bind(Z0,$fot(a25))]]) ).

cnf(refute_0_159,plain,
    ( product(a26,a23) != a25
    | product(a26,product(a24,a21)) = a25 ),
    inference(resolve,[$cnf( $equal(product(a26,product(a24,a21)),product(a26,a23)) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    product(a26,product(a24,a21)) = a25,
    inference(resolve,[$cnf( $equal(product(a26,a23),a25) )],[refute_0_149,refute_0_159]) ).

cnf(refute_0_161,plain,
    product(product(product(X,X_5),X_4),X_5) = product(product(product(X,X_5),X_5),product(X_4,X_5)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(product(X,X_5))),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).

cnf(refute_0_162,plain,
    product(product(X,X_5),X_5) = X,
    inference(subst,[],[involutory_quandle_01:[bind(Y,$fot(X_5))]]) ).

cnf(refute_0_163,plain,
    ( product(product(X,X_5),X_5) != X
    | product(product(product(X,X_5),X_4),X_5) != product(product(product(X,X_5),X_5),product(X_4,X_5))
    | product(product(product(X,X_5),X_4),X_5) = product(X,product(X_4,X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X,X_5),X_4),X_5),product(product(product(X,X_5),X_5),product(X_4,X_5))) ),[1,0],$fot(X)]]) ).

cnf(refute_0_164,plain,
    ( product(product(product(X,X_5),X_4),X_5) != product(product(product(X,X_5),X_5),product(X_4,X_5))
    | product(product(product(X,X_5),X_4),X_5) = product(X,product(X_4,X_5)) ),
    inference(resolve,[$cnf( $equal(product(product(X,X_5),X_5),X) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    product(product(product(X,X_5),X_4),X_5) = product(X,product(X_4,X_5)),
    inference(resolve,[$cnf( $equal(product(product(product(X,X_5),X_4),X_5),product(product(product(X,X_5),X_5),product(X_4,X_5))) )],[refute_0_161,refute_0_164]) ).

cnf(refute_0_166,plain,
    product(product(product(a26,a21),a24),a21) = product(a26,product(a24,a21)),
    inference(subst,[],[refute_0_165:[bind(X,$fot(a26)),bind(X_4,$fot(a24)),bind(X_5,$fot(a21))]]) ).

cnf(refute_0_167,plain,
    ( product(a26,product(a24,a21)) != a25
    | product(product(product(a26,a21),a24),a21) != product(a26,product(a24,a21))
    | product(product(product(a26,a21),a24),a21) = a25 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(product(product(a26,a21),a24),a21))),bind(Y0,$fot(product(a26,product(a24,a21)))),bind(Z0,$fot(a25))]]) ).

cnf(refute_0_168,plain,
    ( product(a26,product(a24,a21)) != a25
    | product(product(product(a26,a21),a24),a21) = a25 ),
    inference(resolve,[$cnf( $equal(product(product(product(a26,a21),a24),a21),product(a26,product(a24,a21))) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    product(product(product(a26,a21),a24),a21) = a25,
    inference(resolve,[$cnf( $equal(product(a26,product(a24,a21)),a25) )],[refute_0_160,refute_0_168]) ).

cnf(refute_0_170,plain,
    ( product(a31,a25) != product(product(product(a26,a21),a24),a21)
    | product(product(product(a26,a21),a24),a21) != a25
    | product(a31,a25) = a25 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a31,a25),a25) ),[0],$fot(product(product(product(a26,a21),a24),a21))]]) ).

cnf(refute_0_171,plain,
    ( product(a31,a25) != product(product(product(a26,a21),a24),a21)
    | product(a31,a25) = a25 ),
    inference(resolve,[$cnf( $equal(product(product(product(a26,a21),a24),a21),a25) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    ( product(product(product(a30,a31),a22),a25) != product(product(product(a26,a21),a24),a21)
    | product(a31,a25) = a25 ),
    inference(resolve,[$cnf( $equal(product(a31,a25),product(product(product(a26,a21),a24),a21)) )],[refute_0_145,refute_0_171]) ).

cnf(refute_0_173,plain,
    product(a31,a25) = a25,
    inference(resolve,[$cnf( $equal(product(product(product(a30,a31),a22),a25),product(product(product(a26,a21),a24),a21)) )],[refute_0_117,refute_0_172]) ).

cnf(refute_0_174,plain,
    product(a21,product(a31,a25)) = product(a21,product(a31,a25)),
    introduced(tautology,[refl,[$fot(product(a21,product(a31,a25)))]]) ).

cnf(refute_0_175,plain,
    ( product(a21,product(a31,a25)) != product(a21,product(a31,a25))
    | product(a31,a25) != a25
    | product(a21,product(a31,a25)) = product(a21,a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,product(a31,a25)),product(a21,product(a31,a25))) ),[1,1],$fot(a25)]]) ).

cnf(refute_0_176,plain,
    ( product(a31,a25) != a25
    | product(a21,product(a31,a25)) = product(a21,a25) ),
    inference(resolve,[$cnf( $equal(product(a21,product(a31,a25)),product(a21,product(a31,a25))) )],[refute_0_174,refute_0_175]) ).

cnf(refute_0_177,plain,
    product(a21,product(a31,a25)) = product(a21,a25),
    inference(resolve,[$cnf( $equal(product(a31,a25),a25) )],[refute_0_173,refute_0_176]) ).

cnf(refute_0_178,plain,
    ( product(a21,a25) != a22
    | product(a21,product(a31,a25)) != product(a21,a25)
    | product(a21,product(a31,a25)) = a22 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a21,product(a31,a25)))),bind(Y0,$fot(product(a21,a25))),bind(Z0,$fot(a22))]]) ).

cnf(refute_0_179,plain,
    ( product(a21,a25) != a22
    | product(a21,product(a31,a25)) = a22 ),
    inference(resolve,[$cnf( $equal(product(a21,product(a31,a25)),product(a21,a25)) )],[refute_0_177,refute_0_178]) ).

cnf(refute_0_180,plain,
    product(a21,product(a31,a25)) = a22,
    inference(resolve,[$cnf( $equal(product(a21,a25),a22) )],[knot_21,refute_0_179]) ).

cnf(refute_0_181,plain,
    ( product(a21,product(a31,a25)) != a22
    | product(a23,a25) != product(a21,product(a31,a25))
    | product(a23,a25) = a22 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a23,a25),product(a21,product(a31,a25))) ),[1],$fot(a22)]]) ).

cnf(refute_0_182,plain,
    ( product(a23,a25) != product(a21,product(a31,a25))
    | product(a23,a25) = a22 ),
    inference(resolve,[$cnf( $equal(product(a21,product(a31,a25)),a22) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    product(a23,a25) = a22,
    inference(resolve,[$cnf( $equal(product(a23,a25),product(a21,product(a31,a25))) )],[refute_0_13,refute_0_182]) ).

cnf(refute_0_184,plain,
    ( product(a23,a25) != a22
    | product(product(a23,a25),a25) != a23
    | product(a22,a25) = a23 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a23,a25),a25),a23) ),[0,0],$fot(a22)]]) ).

cnf(refute_0_185,plain,
    ( product(product(a23,a25),a25) != a23
    | product(a22,a25) = a23 ),
    inference(resolve,[$cnf( $equal(product(a23,a25),a22) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    product(a22,a25) = a23,
    inference(resolve,[$cnf( $equal(product(product(a23,a25),a25),a23) )],[refute_0_1,refute_0_185]) ).

cnf(refute_0_187,plain,
    ( product(a22,a25) != a21
    | product(a22,a25) != a23
    | a21 = a23 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a25),a23) ),[0],$fot(a21)]]) ).

cnf(refute_0_188,plain,
    ( product(a22,a25) != a23
    | a21 = a23 ),
    inference(resolve,[$cnf( $equal(product(a22,a25),a21) )],[refute_0_6,refute_0_187]) ).

cnf(refute_0_189,plain,
    a21 = a23,
    inference(resolve,[$cnf( $equal(product(a22,a25),a23) )],[refute_0_186,refute_0_188]) ).

cnf(refute_0_190,plain,
    ( a21 != a23
    | a23 = a21 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a21)),bind(Y0,$fot(a23))]]) ).

cnf(refute_0_191,plain,
    a23 = a21,
    inference(resolve,[$cnf( $equal(a21,a23) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    product(a25,a23) = product(a25,a23),
    introduced(tautology,[refl,[$fot(product(a25,a23))]]) ).

cnf(refute_0_193,plain,
    ( a23 != a21
    | product(a25,a23) != product(a25,a23)
    | product(a25,a23) = product(a25,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a25,a23),product(a25,a23)) ),[1,1],$fot(a21)]]) ).

cnf(refute_0_194,plain,
    ( a23 != a21
    | product(a25,a23) = product(a25,a21) ),
    inference(resolve,[$cnf( $equal(product(a25,a23),product(a25,a23)) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    product(a25,a23) = product(a25,a21),
    inference(resolve,[$cnf( $equal(a23,a21) )],[refute_0_191,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( product(a25,a23) != a26
    | product(a25,a23) != product(a25,a21)
    | product(a25,a21) = a26 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a25,a23),a26) ),[0],$fot(product(a25,a21))]]) ).

cnf(refute_0_197,plain,
    ( product(a25,a23) != a26
    | product(a25,a21) = a26 ),
    inference(resolve,[$cnf( $equal(product(a25,a23),product(a25,a21)) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    product(a25,a21) = a26,
    inference(resolve,[$cnf( $equal(product(a25,a23),a26) )],[knot_25,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( a23 != a21
    | product(a22,a31) != a23
    | product(a22,a31) = a21 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a31),a23) ),[1],$fot(a21)]]) ).

cnf(refute_0_200,plain,
    ( product(a22,a31) != a23
    | product(a22,a31) = a21 ),
    inference(resolve,[$cnf( $equal(a23,a21) )],[refute_0_191,refute_0_199]) ).

cnf(refute_0_201,plain,
    product(a22,a31) = a21,
    inference(resolve,[$cnf( $equal(product(a22,a31),a23) )],[knot_22,refute_0_200]) ).

cnf(refute_0_202,plain,
    product(a30,a23) = product(a30,a23),
    introduced(tautology,[refl,[$fot(product(a30,a23))]]) ).

cnf(refute_0_203,plain,
    ( a23 != a21
    | product(a30,a23) != product(a30,a23)
    | product(a30,a23) = product(a30,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a30,a23),product(a30,a23)) ),[1,1],$fot(a21)]]) ).

cnf(refute_0_204,plain,
    ( a23 != a21
    | product(a30,a23) = product(a30,a21) ),
    inference(resolve,[$cnf( $equal(product(a30,a23),product(a30,a23)) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    product(a30,a23) = product(a30,a21),
    inference(resolve,[$cnf( $equal(a23,a21) )],[refute_0_191,refute_0_204]) ).

cnf(refute_0_206,plain,
    ( product(a30,a23) != a31
    | product(a30,a23) != product(a30,a21)
    | product(a30,a21) = a31 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a30,a23),a31) ),[0],$fot(product(a30,a21))]]) ).

cnf(refute_0_207,plain,
    ( product(a30,a23) != a31
    | product(a30,a21) = a31 ),
    inference(resolve,[$cnf( $equal(product(a30,a23),product(a30,a21)) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    product(a30,a21) = a31,
    inference(resolve,[$cnf( $equal(product(a30,a23),a31) )],[knot_30,refute_0_207]) ).

cnf(refute_0_209,plain,
    product(product(a27,a21),a21) = a27,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a27)),bind(Y,$fot(a21))]]) ).

cnf(refute_0_210,plain,
    ( product(a27,a21) != a28
    | product(product(a27,a21),a21) != a27
    | product(a28,a21) = a27 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a27,a21),a21),a27) ),[0,0],$fot(a28)]]) ).

cnf(refute_0_211,plain,
    ( product(product(a27,a21),a21) != a27
    | product(a28,a21) = a27 ),
    inference(resolve,[$cnf( $equal(product(a27,a21),a28) )],[knot_27,refute_0_210]) ).

cnf(refute_0_212,plain,
    product(a28,a21) = a27,
    inference(resolve,[$cnf( $equal(product(product(a27,a21),a21),a27) )],[refute_0_209,refute_0_211]) ).

cnf(refute_0_213,plain,
    product(product(a28,a3),a3) = a28,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a28)),bind(Y,$fot(a3))]]) ).

cnf(refute_0_214,plain,
    ( product(a28,a3) != a29
    | product(product(a28,a3),a3) != a28
    | product(a29,a3) = a28 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a28,a3),a3),a28) ),[0,0],$fot(a29)]]) ).

cnf(refute_0_215,plain,
    ( product(product(a28,a3),a3) != a28
    | product(a29,a3) = a28 ),
    inference(resolve,[$cnf( $equal(product(a28,a3),a29) )],[knot_28,refute_0_214]) ).

cnf(refute_0_216,plain,
    product(a29,a3) = a28,
    inference(resolve,[$cnf( $equal(product(product(a28,a3),a3),a28) )],[refute_0_213,refute_0_215]) ).

cnf(refute_0_217,plain,
    product(product(a31,a2),a25) = product(product(a31,a3),a24),
    inference(subst,[],[refute_0_38:[bind(X_3,$fot(a31))]]) ).

cnf(refute_0_218,plain,
    ( product(a31,a3) != a32
    | product(product(a31,a2),a25) != product(product(a31,a3),a24)
    | product(product(a31,a2),a25) = product(a32,a24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a31,a2),a25),product(product(a31,a3),a24)) ),[1,0],$fot(a32)]]) ).

cnf(refute_0_219,plain,
    ( product(product(a31,a2),a25) != product(product(a31,a3),a24)
    | product(product(a31,a2),a25) = product(a32,a24) ),
    inference(resolve,[$cnf( $equal(product(a31,a3),a32) )],[knot_31,refute_0_218]) ).

cnf(refute_0_220,plain,
    product(product(a31,a2),a25) = product(a32,a24),
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),product(product(a31,a3),a24)) )],[refute_0_217,refute_0_219]) ).

cnf(refute_0_221,plain,
    product(a21,a21) = a21,
    inference(subst,[],[involutory_quandle:[bind(X,$fot(a21))]]) ).

cnf(refute_0_222,plain,
    product(a23,a21) = product(a23,a21),
    introduced(tautology,[refl,[$fot(product(a23,a21))]]) ).

cnf(refute_0_223,plain,
    ( a23 != a21
    | product(a23,a21) != product(a23,a21)
    | product(a23,a21) = product(a21,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a23,a21),product(a23,a21)) ),[1,0],$fot(a21)]]) ).

cnf(refute_0_224,plain,
    ( a23 != a21
    | product(a23,a21) = product(a21,a21) ),
    inference(resolve,[$cnf( $equal(product(a23,a21),product(a23,a21)) )],[refute_0_222,refute_0_223]) ).

cnf(refute_0_225,plain,
    product(a23,a21) = product(a21,a21),
    inference(resolve,[$cnf( $equal(a23,a21) )],[refute_0_191,refute_0_224]) ).

cnf(refute_0_226,plain,
    ( product(a21,a21) != a21
    | product(a23,a21) != product(a21,a21)
    | product(a23,a21) = a21 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a23,a21))),bind(Y0,$fot(product(a21,a21))),bind(Z0,$fot(a21))]]) ).

cnf(refute_0_227,plain,
    ( product(a21,a21) != a21
    | product(a23,a21) = a21 ),
    inference(resolve,[$cnf( $equal(product(a23,a21),product(a21,a21)) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    product(a23,a21) = a21,
    inference(resolve,[$cnf( $equal(product(a21,a21),a21) )],[refute_0_221,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( product(a23,a21) != a21
    | product(a23,a21) != a24
    | a21 = a24 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a23,a21),a24) ),[0],$fot(a21)]]) ).

cnf(refute_0_230,plain,
    ( product(a23,a21) != a24
    | a21 = a24 ),
    inference(resolve,[$cnf( $equal(product(a23,a21),a21) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    a21 = a24,
    inference(resolve,[$cnf( $equal(product(a23,a21),a24) )],[knot_23,refute_0_230]) ).

cnf(refute_0_232,plain,
    ( a21 != a24
    | a24 = a21 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a21)),bind(Y0,$fot(a24))]]) ).

cnf(refute_0_233,plain,
    a24 = a21,
    inference(resolve,[$cnf( $equal(a21,a24) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    product(a32,a24) = product(a32,a24),
    introduced(tautology,[refl,[$fot(product(a32,a24))]]) ).

cnf(refute_0_235,plain,
    ( a24 != a21
    | product(a32,a24) != product(a32,a24)
    | product(a32,a24) = product(a32,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a32,a24),product(a32,a24)) ),[1,1],$fot(a21)]]) ).

cnf(refute_0_236,plain,
    ( a24 != a21
    | product(a32,a24) = product(a32,a21) ),
    inference(resolve,[$cnf( $equal(product(a32,a24),product(a32,a24)) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    product(a32,a24) = product(a32,a21),
    inference(resolve,[$cnf( $equal(a24,a21) )],[refute_0_233,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( product(a32,a21) != a1
    | product(a32,a24) != product(a32,a21)
    | product(a32,a24) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a32,a24))),bind(Y0,$fot(product(a32,a21))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_239,plain,
    ( product(a32,a21) != a1
    | product(a32,a24) = a1 ),
    inference(resolve,[$cnf( $equal(product(a32,a24),product(a32,a21)) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    product(a32,a24) = a1,
    inference(resolve,[$cnf( $equal(product(a32,a21),a1) )],[knot_32,refute_0_239]) ).

cnf(refute_0_241,plain,
    ( product(a32,a24) != a1
    | product(product(a31,a2),a25) != product(a32,a24)
    | product(product(a31,a2),a25) = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a31,a2),a25),product(a32,a24)) ),[1],$fot(a1)]]) ).

cnf(refute_0_242,plain,
    ( product(product(a31,a2),a25) != product(a32,a24)
    | product(product(a31,a2),a25) = a1 ),
    inference(resolve,[$cnf( $equal(product(a32,a24),a1) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    product(product(a31,a2),a25) = a1,
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),product(a32,a24)) )],[refute_0_220,refute_0_242]) ).

cnf(refute_0_244,plain,
    product(product(product(a31,a2),a25),a25) = product(a31,a2),
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(product(a31,a2))),bind(Y,$fot(a25))]]) ).

cnf(refute_0_245,plain,
    ( product(product(a31,a2),a25) != product(a32,a24)
    | product(product(product(a31,a2),a25),a25) != product(a31,a2)
    | product(product(a32,a24),a25) = product(a31,a2) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a31,a2),a25),a25),product(a31,a2)) ),[0,0],$fot(product(a32,a24))]]) ).

cnf(refute_0_246,plain,
    ( product(product(product(a31,a2),a25),a25) != product(a31,a2)
    | product(product(a32,a24),a25) = product(a31,a2) ),
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),product(a32,a24)) )],[refute_0_220,refute_0_245]) ).

cnf(refute_0_247,plain,
    product(product(a32,a24),a25) = product(a31,a2),
    inference(resolve,[$cnf( $equal(product(product(product(a31,a2),a25),a25),product(a31,a2)) )],[refute_0_244,refute_0_246]) ).

cnf(refute_0_248,plain,
    product(product(a2,X_4),a25) = product(product(a2,a25),product(X_4,a25)),
    inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a2)),bind(Y,$fot(X_4)),bind(Z,$fot(a25))]]) ).

cnf(refute_0_249,plain,
    ( product(a2,a25) != a3
    | product(product(a2,X_4),a25) != product(product(a2,a25),product(X_4,a25))
    | product(product(a2,X_4),a25) = product(a3,product(X_4,a25)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a2,X_4),a25),product(product(a2,a25),product(X_4,a25))) ),[1,0],$fot(a3)]]) ).

cnf(refute_0_250,plain,
    ( product(product(a2,X_4),a25) != product(product(a2,a25),product(X_4,a25))
    | product(product(a2,X_4),a25) = product(a3,product(X_4,a25)) ),
    inference(resolve,[$cnf( $equal(product(a2,a25),a3) )],[knot_03,refute_0_249]) ).

cnf(refute_0_251,plain,
    product(product(a2,X_4),a25) = product(a3,product(X_4,a25)),
    inference(resolve,[$cnf( $equal(product(product(a2,X_4),a25),product(product(a2,a25),product(X_4,a25))) )],[refute_0_248,refute_0_250]) ).

cnf(refute_0_252,plain,
    product(product(a2,a31),a25) = product(a3,product(a31,a25)),
    inference(subst,[],[refute_0_251:[bind(X_4,$fot(a31))]]) ).

cnf(refute_0_253,plain,
    product(product(a1,a31),a31) = a1,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a1)),bind(Y,$fot(a31))]]) ).

cnf(refute_0_254,plain,
    ( product(a1,a31) != a2
    | product(product(a1,a31),a31) != a1
    | product(a2,a31) = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a1,a31),a31),a1) ),[0,0],$fot(a2)]]) ).

cnf(refute_0_255,plain,
    ( product(product(a1,a31),a31) != a1
    | product(a2,a31) = a1 ),
    inference(resolve,[$cnf( $equal(product(a1,a31),a2) )],[knot,refute_0_254]) ).

cnf(refute_0_256,plain,
    product(a2,a31) = a1,
    inference(resolve,[$cnf( $equal(product(product(a1,a31),a31),a1) )],[refute_0_253,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( product(a2,a31) != a1
    | product(product(a2,a31),a25) != product(a3,product(a31,a25))
    | product(a1,a25) = product(a3,product(a31,a25)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a2,a31),a25),product(a3,product(a31,a25))) ),[0,0],$fot(a1)]]) ).

cnf(refute_0_258,plain,
    ( product(product(a2,a31),a25) != product(a3,product(a31,a25))
    | product(a1,a25) = product(a3,product(a31,a25)) ),
    inference(resolve,[$cnf( $equal(product(a2,a31),a1) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    product(a1,a25) = product(a3,product(a31,a25)),
    inference(resolve,[$cnf( $equal(product(product(a2,a31),a25),product(a3,product(a31,a25))) )],[refute_0_252,refute_0_258]) ).

cnf(refute_0_260,plain,
    product(product(a2,a25),a25) = a2,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a2)),bind(Y,$fot(a25))]]) ).

cnf(refute_0_261,plain,
    ( product(a2,a25) != a3
    | product(product(a2,a25),a25) != a2
    | product(a3,a25) = a2 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a2,a25),a25),a2) ),[0,0],$fot(a3)]]) ).

cnf(refute_0_262,plain,
    ( product(product(a2,a25),a25) != a2
    | product(a3,a25) = a2 ),
    inference(resolve,[$cnf( $equal(product(a2,a25),a3) )],[knot_03,refute_0_261]) ).

cnf(refute_0_263,plain,
    product(a3,a25) = a2,
    inference(resolve,[$cnf( $equal(product(product(a2,a25),a25),a2) )],[refute_0_260,refute_0_262]) ).

cnf(refute_0_264,plain,
    product(a3,product(a31,a25)) = product(a3,product(a31,a25)),
    introduced(tautology,[refl,[$fot(product(a3,product(a31,a25)))]]) ).

cnf(refute_0_265,plain,
    ( product(a3,product(a31,a25)) != product(a3,product(a31,a25))
    | product(a31,a25) != a25
    | product(a3,product(a31,a25)) = product(a3,a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a3,product(a31,a25)),product(a3,product(a31,a25))) ),[1,1],$fot(a25)]]) ).

cnf(refute_0_266,plain,
    ( product(a31,a25) != a25
    | product(a3,product(a31,a25)) = product(a3,a25) ),
    inference(resolve,[$cnf( $equal(product(a3,product(a31,a25)),product(a3,product(a31,a25))) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    product(a3,product(a31,a25)) = product(a3,a25),
    inference(resolve,[$cnf( $equal(product(a31,a25),a25) )],[refute_0_173,refute_0_266]) ).

cnf(refute_0_268,plain,
    ( product(a3,a25) != a2
    | product(a3,product(a31,a25)) != product(a3,a25)
    | product(a3,product(a31,a25)) = a2 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a3,product(a31,a25)))),bind(Y0,$fot(product(a3,a25))),bind(Z0,$fot(a2))]]) ).

cnf(refute_0_269,plain,
    ( product(a3,a25) != a2
    | product(a3,product(a31,a25)) = a2 ),
    inference(resolve,[$cnf( $equal(product(a3,product(a31,a25)),product(a3,a25)) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    product(a3,product(a31,a25)) = a2,
    inference(resolve,[$cnf( $equal(product(a3,a25),a2) )],[refute_0_263,refute_0_269]) ).

cnf(refute_0_271,plain,
    ( product(a1,a25) != product(a3,product(a31,a25))
    | product(a3,product(a31,a25)) != a2
    | product(a1,a25) = a2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a1,a25),a2) ),[0],$fot(product(a3,product(a31,a25)))]]) ).

cnf(refute_0_272,plain,
    ( product(a1,a25) != product(a3,product(a31,a25))
    | product(a1,a25) = a2 ),
    inference(resolve,[$cnf( $equal(product(a3,product(a31,a25)),a2) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    product(a1,a25) = a2,
    inference(resolve,[$cnf( $equal(product(a1,a25),product(a3,product(a31,a25))) )],[refute_0_259,refute_0_272]) ).

cnf(refute_0_274,plain,
    product(product(a32,a24),a25) = product(product(a32,a24),a25),
    introduced(tautology,[refl,[$fot(product(product(a32,a24),a25))]]) ).

cnf(refute_0_275,plain,
    ( product(a32,a24) != a1
    | product(product(a32,a24),a25) != product(product(a32,a24),a25)
    | product(product(a32,a24),a25) = product(a1,a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a32,a24),a25),product(product(a32,a24),a25)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_276,plain,
    ( product(a32,a24) != a1
    | product(product(a32,a24),a25) = product(a1,a25) ),
    inference(resolve,[$cnf( $equal(product(product(a32,a24),a25),product(product(a32,a24),a25)) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    product(product(a32,a24),a25) = product(a1,a25),
    inference(resolve,[$cnf( $equal(product(a32,a24),a1) )],[refute_0_240,refute_0_276]) ).

cnf(refute_0_278,plain,
    ( product(a1,a25) != a2
    | product(product(a32,a24),a25) != product(a1,a25)
    | product(product(a32,a24),a25) = a2 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(product(a32,a24),a25))),bind(Y0,$fot(product(a1,a25))),bind(Z0,$fot(a2))]]) ).

cnf(refute_0_279,plain,
    ( product(a1,a25) != a2
    | product(product(a32,a24),a25) = a2 ),
    inference(resolve,[$cnf( $equal(product(product(a32,a24),a25),product(a1,a25)) )],[refute_0_277,refute_0_278]) ).

cnf(refute_0_280,plain,
    product(product(a32,a24),a25) = a2,
    inference(resolve,[$cnf( $equal(product(a1,a25),a2) )],[refute_0_273,refute_0_279]) ).

cnf(refute_0_281,plain,
    ( product(product(a32,a24),a25) != a2
    | product(product(a32,a24),a25) != product(a31,a2)
    | a2 = product(a31,a2) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a32,a24),a25),product(a31,a2)) ),[0],$fot(a2)]]) ).

cnf(refute_0_282,plain,
    ( product(product(a32,a24),a25) != product(a31,a2)
    | a2 = product(a31,a2) ),
    inference(resolve,[$cnf( $equal(product(product(a32,a24),a25),a2) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    a2 = product(a31,a2),
    inference(resolve,[$cnf( $equal(product(product(a32,a24),a25),product(a31,a2)) )],[refute_0_247,refute_0_282]) ).

cnf(refute_0_284,plain,
    ( a2 != product(a31,a2)
    | product(a31,a2) = a2 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a2)),bind(Y0,$fot(product(a31,a2)))]]) ).

cnf(refute_0_285,plain,
    product(a31,a2) = a2,
    inference(resolve,[$cnf( $equal(a2,product(a31,a2)) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    product(product(a31,a2),a25) = product(product(a31,a2),a25),
    introduced(tautology,[refl,[$fot(product(product(a31,a2),a25))]]) ).

cnf(refute_0_287,plain,
    ( product(a31,a2) != a2
    | product(product(a31,a2),a25) != product(product(a31,a2),a25)
    | product(product(a31,a2),a25) = product(a2,a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a31,a2),a25),product(product(a31,a2),a25)) ),[1,0],$fot(a2)]]) ).

cnf(refute_0_288,plain,
    ( product(a31,a2) != a2
    | product(product(a31,a2),a25) = product(a2,a25) ),
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),product(product(a31,a2),a25)) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    product(product(a31,a2),a25) = product(a2,a25),
    inference(resolve,[$cnf( $equal(product(a31,a2),a2) )],[refute_0_285,refute_0_288]) ).

cnf(refute_0_290,plain,
    ( product(a2,a25) != a3
    | product(product(a31,a2),a25) != product(a2,a25)
    | product(product(a31,a2),a25) = a3 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(product(a31,a2),a25))),bind(Y0,$fot(product(a2,a25))),bind(Z0,$fot(a3))]]) ).

cnf(refute_0_291,plain,
    ( product(a2,a25) != a3
    | product(product(a31,a2),a25) = a3 ),
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),product(a2,a25)) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    product(product(a31,a2),a25) = a3,
    inference(resolve,[$cnf( $equal(product(a2,a25),a3) )],[knot_03,refute_0_291]) ).

cnf(refute_0_293,plain,
    ( product(product(a31,a2),a25) != a1
    | product(product(a31,a2),a25) != a3
    | a3 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a31,a2),a25),a1) ),[0],$fot(a3)]]) ).

cnf(refute_0_294,plain,
    ( product(product(a31,a2),a25) != a1
    | a3 = a1 ),
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),a3) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    a3 = a1,
    inference(resolve,[$cnf( $equal(product(product(a31,a2),a25),a1) )],[refute_0_243,refute_0_294]) ).

cnf(refute_0_296,plain,
    product(a29,a3) = product(a29,a3),
    introduced(tautology,[refl,[$fot(product(a29,a3))]]) ).

cnf(refute_0_297,plain,
    ( a3 != a1
    | product(a29,a3) != product(a29,a3)
    | product(a29,a3) = product(a29,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a29,a3),product(a29,a3)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_298,plain,
    ( a3 != a1
    | product(a29,a3) = product(a29,a1) ),
    inference(resolve,[$cnf( $equal(product(a29,a3),product(a29,a3)) )],[refute_0_296,refute_0_297]) ).

cnf(refute_0_299,plain,
    product(a29,a3) = product(a29,a1),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_298]) ).

cnf(refute_0_300,plain,
    ( product(a29,a1) != a30
    | product(a29,a3) != product(a29,a1)
    | product(a29,a3) = a30 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a29,a3))),bind(Y0,$fot(product(a29,a1))),bind(Z0,$fot(a30))]]) ).

cnf(refute_0_301,plain,
    ( product(a29,a1) != a30
    | product(a29,a3) = a30 ),
    inference(resolve,[$cnf( $equal(product(a29,a3),product(a29,a1)) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    product(a29,a3) = a30,
    inference(resolve,[$cnf( $equal(product(a29,a1),a30) )],[knot_29,refute_0_301]) ).

cnf(refute_0_303,plain,
    ( product(a29,a3) != a28
    | product(a29,a3) != a30
    | a30 = a28 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a29,a3),a28) ),[0],$fot(a30)]]) ).

cnf(refute_0_304,plain,
    ( product(a29,a3) != a28
    | a30 = a28 ),
    inference(resolve,[$cnf( $equal(product(a29,a3),a30) )],[refute_0_302,refute_0_303]) ).

cnf(refute_0_305,plain,
    a30 = a28,
    inference(resolve,[$cnf( $equal(product(a29,a3),a28) )],[refute_0_216,refute_0_304]) ).

cnf(refute_0_306,plain,
    product(a30,a21) = product(a30,a21),
    introduced(tautology,[refl,[$fot(product(a30,a21))]]) ).

cnf(refute_0_307,plain,
    ( a30 != a28
    | product(a30,a21) != product(a30,a21)
    | product(a30,a21) = product(a28,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a30,a21),product(a30,a21)) ),[1,0],$fot(a28)]]) ).

cnf(refute_0_308,plain,
    ( a30 != a28
    | product(a30,a21) = product(a28,a21) ),
    inference(resolve,[$cnf( $equal(product(a30,a21),product(a30,a21)) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    product(a30,a21) = product(a28,a21),
    inference(resolve,[$cnf( $equal(a30,a28) )],[refute_0_305,refute_0_308]) ).

cnf(refute_0_310,plain,
    ( product(a28,a21) != a27
    | product(a30,a21) != product(a28,a21)
    | product(a30,a21) = a27 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a30,a21))),bind(Y0,$fot(product(a28,a21))),bind(Z0,$fot(a27))]]) ).

cnf(refute_0_311,plain,
    ( product(a28,a21) != a27
    | product(a30,a21) = a27 ),
    inference(resolve,[$cnf( $equal(product(a30,a21),product(a28,a21)) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    product(a30,a21) = a27,
    inference(resolve,[$cnf( $equal(product(a28,a21),a27) )],[refute_0_212,refute_0_311]) ).

cnf(refute_0_313,plain,
    ( product(a30,a21) != a27
    | product(a30,a21) != a31
    | a27 = a31 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a30,a21),a31) ),[0],$fot(a27)]]) ).

cnf(refute_0_314,plain,
    ( product(a30,a21) != a31
    | a27 = a31 ),
    inference(resolve,[$cnf( $equal(product(a30,a21),a27) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    a27 = a31,
    inference(resolve,[$cnf( $equal(product(a30,a21),a31) )],[refute_0_208,refute_0_314]) ).

cnf(refute_0_316,plain,
    ( a27 != a31
    | a31 = a27 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a27)),bind(Y0,$fot(a31))]]) ).

cnf(refute_0_317,plain,
    a31 = a27,
    inference(resolve,[$cnf( $equal(a27,a31) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    product(a22,a31) = product(a22,a31),
    introduced(tautology,[refl,[$fot(product(a22,a31))]]) ).

cnf(refute_0_319,plain,
    ( a31 != a27
    | product(a22,a31) != product(a22,a31)
    | product(a22,a31) = product(a22,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a31),product(a22,a31)) ),[1,1],$fot(a27)]]) ).

cnf(refute_0_320,plain,
    ( a31 != a27
    | product(a22,a31) = product(a22,a27) ),
    inference(resolve,[$cnf( $equal(product(a22,a31),product(a22,a31)) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    product(a22,a31) = product(a22,a27),
    inference(resolve,[$cnf( $equal(a31,a27) )],[refute_0_317,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( product(a22,a31) != a21
    | product(a22,a31) != product(a22,a27)
    | product(a22,a27) = a21 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a31),a21) ),[0],$fot(product(a22,a27))]]) ).

cnf(refute_0_323,plain,
    ( product(a22,a31) != a21
    | product(a22,a27) = a21 ),
    inference(resolve,[$cnf( $equal(product(a22,a31),product(a22,a27)) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    product(a22,a27) = a21,
    inference(resolve,[$cnf( $equal(product(a22,a31),a21) )],[refute_0_201,refute_0_323]) ).

cnf(refute_0_325,plain,
    product(a1,a31) = product(a1,a31),
    introduced(tautology,[refl,[$fot(product(a1,a31))]]) ).

cnf(refute_0_326,plain,
    ( a31 != a27
    | product(a1,a31) != product(a1,a31)
    | product(a1,a31) = product(a1,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a31),product(a1,a31)) ),[1,1],$fot(a27)]]) ).

cnf(refute_0_327,plain,
    ( a31 != a27
    | product(a1,a31) = product(a1,a27) ),
    inference(resolve,[$cnf( $equal(product(a1,a31),product(a1,a31)) )],[refute_0_325,refute_0_326]) ).

cnf(refute_0_328,plain,
    product(a1,a31) = product(a1,a27),
    inference(resolve,[$cnf( $equal(a31,a27) )],[refute_0_317,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( product(a1,a31) != a2
    | product(a1,a31) != product(a1,a27)
    | product(a1,a27) = a2 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a31),a2) ),[0],$fot(product(a1,a27))]]) ).

cnf(refute_0_330,plain,
    ( product(a1,a31) != a2
    | product(a1,a27) = a2 ),
    inference(resolve,[$cnf( $equal(product(a1,a31),product(a1,a27)) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    product(a1,a27) = a2,
    inference(resolve,[$cnf( $equal(product(a1,a31),a2) )],[knot,refute_0_330]) ).

cnf(refute_0_332,plain,
    product(a26,a23) = product(a26,a23),
    introduced(tautology,[refl,[$fot(product(a26,a23))]]) ).

cnf(refute_0_333,plain,
    ( a23 != a21
    | product(a26,a23) != product(a26,a23)
    | product(a26,a23) = product(a26,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a26,a23),product(a26,a23)) ),[1,1],$fot(a21)]]) ).

cnf(refute_0_334,plain,
    ( a23 != a21
    | product(a26,a23) = product(a26,a21) ),
    inference(resolve,[$cnf( $equal(product(a26,a23),product(a26,a23)) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    product(a26,a23) = product(a26,a21),
    inference(resolve,[$cnf( $equal(a23,a21) )],[refute_0_191,refute_0_334]) ).

cnf(refute_0_336,plain,
    ( product(a26,a23) != a25
    | product(a26,a23) != product(a26,a21)
    | product(a26,a21) = a25 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a26,a23),a25) ),[0],$fot(product(a26,a21))]]) ).

cnf(refute_0_337,plain,
    ( product(a26,a23) != a25
    | product(a26,a21) = a25 ),
    inference(resolve,[$cnf( $equal(product(a26,a23),product(a26,a21)) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    product(a26,a21) = a25,
    inference(resolve,[$cnf( $equal(product(a26,a23),a25) )],[refute_0_149,refute_0_337]) ).

cnf(refute_0_339,plain,
    product(a31,a3) = product(a31,a3),
    introduced(tautology,[refl,[$fot(product(a31,a3))]]) ).

cnf(refute_0_340,plain,
    ( a3 != a1
    | product(a31,a3) != product(a31,a3)
    | product(a31,a3) = product(a31,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a31,a3),product(a31,a3)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_341,plain,
    ( a3 != a1
    | product(a31,a3) = product(a31,a1) ),
    inference(resolve,[$cnf( $equal(product(a31,a3),product(a31,a3)) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    product(a31,a3) = product(a31,a1),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( product(a31,a3) != a32
    | product(a31,a3) != product(a31,a1)
    | product(a31,a1) = a32 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a31,a3),a32) ),[0],$fot(product(a31,a1))]]) ).

cnf(refute_0_344,plain,
    ( product(a31,a3) != a32
    | product(a31,a1) = a32 ),
    inference(resolve,[$cnf( $equal(product(a31,a3),product(a31,a1)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    product(a31,a1) = a32,
    inference(resolve,[$cnf( $equal(product(a31,a3),a32) )],[knot_31,refute_0_344]) ).

cnf(refute_0_346,plain,
    product(a31,a1) = product(a31,a1),
    introduced(tautology,[refl,[$fot(product(a31,a1))]]) ).

cnf(refute_0_347,plain,
    ( a31 != a27
    | product(a31,a1) != product(a31,a1)
    | product(a31,a1) = product(a27,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a31,a1),product(a31,a1)) ),[1,0],$fot(a27)]]) ).

cnf(refute_0_348,plain,
    ( a31 != a27
    | product(a31,a1) = product(a27,a1) ),
    inference(resolve,[$cnf( $equal(product(a31,a1),product(a31,a1)) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    product(a31,a1) = product(a27,a1),
    inference(resolve,[$cnf( $equal(a31,a27) )],[refute_0_317,refute_0_348]) ).

cnf(refute_0_350,plain,
    ( product(a27,a1) != a26
    | product(a31,a1) != product(a27,a1)
    | product(a31,a1) = a26 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a31,a1))),bind(Y0,$fot(product(a27,a1))),bind(Z0,$fot(a26))]]) ).

cnf(refute_0_351,plain,
    ( product(a27,a1) != a26
    | product(a31,a1) = a26 ),
    inference(resolve,[$cnf( $equal(product(a31,a1),product(a27,a1)) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    product(a31,a1) = a26,
    inference(resolve,[$cnf( $equal(product(a27,a1),a26) )],[refute_0_62,refute_0_351]) ).

cnf(refute_0_353,plain,
    ( product(a31,a1) != a26
    | product(a31,a1) != a32
    | a26 = a32 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a31,a1),a32) ),[0],$fot(a26)]]) ).

cnf(refute_0_354,plain,
    ( product(a31,a1) != a32
    | a26 = a32 ),
    inference(resolve,[$cnf( $equal(product(a31,a1),a26) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    a26 = a32,
    inference(resolve,[$cnf( $equal(product(a31,a1),a32) )],[refute_0_345,refute_0_354]) ).

cnf(refute_0_356,plain,
    ( a26 != a32
    | a32 = a26 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a26)),bind(Y0,$fot(a32))]]) ).

cnf(refute_0_357,plain,
    a32 = a26,
    inference(resolve,[$cnf( $equal(a26,a32) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    product(a32,a21) = product(a32,a21),
    introduced(tautology,[refl,[$fot(product(a32,a21))]]) ).

cnf(refute_0_359,plain,
    ( a32 != a26
    | product(a32,a21) != product(a32,a21)
    | product(a32,a21) = product(a26,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a32,a21),product(a32,a21)) ),[1,0],$fot(a26)]]) ).

cnf(refute_0_360,plain,
    ( a32 != a26
    | product(a32,a21) = product(a26,a21) ),
    inference(resolve,[$cnf( $equal(product(a32,a21),product(a32,a21)) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    product(a32,a21) = product(a26,a21),
    inference(resolve,[$cnf( $equal(a32,a26) )],[refute_0_357,refute_0_360]) ).

cnf(refute_0_362,plain,
    ( product(a26,a21) != a25
    | product(a32,a21) != product(a26,a21)
    | product(a32,a21) = a25 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a32,a21))),bind(Y0,$fot(product(a26,a21))),bind(Z0,$fot(a25))]]) ).

cnf(refute_0_363,plain,
    ( product(a26,a21) != a25
    | product(a32,a21) = a25 ),
    inference(resolve,[$cnf( $equal(product(a32,a21),product(a26,a21)) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    product(a32,a21) = a25,
    inference(resolve,[$cnf( $equal(product(a26,a21),a25) )],[refute_0_338,refute_0_363]) ).

cnf(refute_0_365,plain,
    ( product(a32,a21) != a1
    | product(a32,a21) != a25
    | a25 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a32,a21),a1) ),[0],$fot(a25)]]) ).

cnf(refute_0_366,plain,
    ( product(a32,a21) != a1
    | a25 = a1 ),
    inference(resolve,[$cnf( $equal(product(a32,a21),a25) )],[refute_0_364,refute_0_365]) ).

cnf(refute_0_367,plain,
    a25 = a1,
    inference(resolve,[$cnf( $equal(product(a32,a21),a1) )],[knot_32,refute_0_366]) ).

cnf(refute_0_368,plain,
    product(a24,a3) = product(a24,a3),
    introduced(tautology,[refl,[$fot(product(a24,a3))]]) ).

cnf(refute_0_369,plain,
    ( a24 != a21
    | product(a24,a3) != product(a24,a3)
    | product(a24,a3) = product(a21,a3) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a24,a3),product(a24,a3)) ),[1,0],$fot(a21)]]) ).

cnf(refute_0_370,plain,
    ( a24 != a21
    | product(a24,a3) = product(a21,a3) ),
    inference(resolve,[$cnf( $equal(product(a24,a3),product(a24,a3)) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    product(a24,a3) = product(a21,a3),
    inference(resolve,[$cnf( $equal(a24,a21) )],[refute_0_233,refute_0_370]) ).

cnf(refute_0_372,plain,
    ( product(a24,a3) != a25
    | product(a24,a3) != product(a21,a3)
    | product(a21,a3) = a25 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a24,a3),a25) ),[0],$fot(product(a21,a3))]]) ).

cnf(refute_0_373,plain,
    ( product(a24,a3) != a25
    | product(a21,a3) = a25 ),
    inference(resolve,[$cnf( $equal(product(a24,a3),product(a21,a3)) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    product(a21,a3) = a25,
    inference(resolve,[$cnf( $equal(product(a24,a3),a25) )],[knot_24,refute_0_373]) ).

cnf(refute_0_375,plain,
    product(a21,a3) = product(a21,a3),
    introduced(tautology,[refl,[$fot(product(a21,a3))]]) ).

cnf(refute_0_376,plain,
    ( a3 != a1
    | product(a21,a3) != product(a21,a3)
    | product(a21,a3) = product(a21,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,a3),product(a21,a3)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_377,plain,
    ( a3 != a1
    | product(a21,a3) = product(a21,a1) ),
    inference(resolve,[$cnf( $equal(product(a21,a3),product(a21,a3)) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    product(a21,a3) = product(a21,a1),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_377]) ).

cnf(refute_0_379,plain,
    ( product(a21,a3) != a25
    | product(a21,a3) != product(a21,a1)
    | product(a21,a1) = a25 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,a3),a25) ),[0],$fot(product(a21,a1))]]) ).

cnf(refute_0_380,plain,
    ( product(a21,a3) != a25
    | product(a21,a1) = a25 ),
    inference(resolve,[$cnf( $equal(product(a21,a3),product(a21,a1)) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    product(a21,a1) = a25,
    inference(resolve,[$cnf( $equal(product(a21,a3),a25) )],[refute_0_374,refute_0_380]) ).

cnf(refute_0_382,plain,
    ( a25 != a1
    | product(a21,a1) != a25
    | product(a21,a1) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a21,a1))),bind(Y0,$fot(a25)),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_383,plain,
    ( a25 != a1
    | product(a21,a1) = a1 ),
    inference(resolve,[$cnf( $equal(product(a21,a1),a25) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    product(a21,a1) = a1,
    inference(resolve,[$cnf( $equal(a25,a1) )],[refute_0_367,refute_0_383]) ).

cnf(refute_0_385,plain,
    product(a21,a25) = product(a21,a25),
    introduced(tautology,[refl,[$fot(product(a21,a25))]]) ).

cnf(refute_0_386,plain,
    ( a25 != a1
    | product(a21,a25) != product(a21,a25)
    | product(a21,a25) = product(a21,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,a25),product(a21,a25)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_387,plain,
    ( a25 != a1
    | product(a21,a25) = product(a21,a1) ),
    inference(resolve,[$cnf( $equal(product(a21,a25),product(a21,a25)) )],[refute_0_385,refute_0_386]) ).

cnf(refute_0_388,plain,
    product(a21,a25) = product(a21,a1),
    inference(resolve,[$cnf( $equal(a25,a1) )],[refute_0_367,refute_0_387]) ).

cnf(refute_0_389,plain,
    ( product(a21,a1) != a1
    | product(a21,a25) != product(a21,a1)
    | product(a21,a25) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a21,a25))),bind(Y0,$fot(product(a21,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_390,plain,
    ( product(a21,a1) != a1
    | product(a21,a25) = a1 ),
    inference(resolve,[$cnf( $equal(product(a21,a25),product(a21,a1)) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    product(a21,a25) = a1,
    inference(resolve,[$cnf( $equal(product(a21,a1),a1) )],[refute_0_384,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( product(a21,a25) != a1
    | product(a21,a25) != a22
    | a1 = a22 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,a25),a22) ),[0],$fot(a1)]]) ).

cnf(refute_0_393,plain,
    ( product(a21,a25) != a22
    | a1 = a22 ),
    inference(resolve,[$cnf( $equal(product(a21,a25),a1) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    a1 = a22,
    inference(resolve,[$cnf( $equal(product(a21,a25),a22) )],[knot_21,refute_0_393]) ).

cnf(refute_0_395,plain,
    ( a1 != a22
    | a22 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a22))]]) ).

cnf(refute_0_396,plain,
    a22 = a1,
    inference(resolve,[$cnf( $equal(a1,a22) )],[refute_0_394,refute_0_395]) ).

cnf(refute_0_397,plain,
    product(a22,a27) = product(a22,a27),
    introduced(tautology,[refl,[$fot(product(a22,a27))]]) ).

cnf(refute_0_398,plain,
    ( a22 != a1
    | product(a22,a27) != product(a22,a27)
    | product(a22,a27) = product(a1,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a27),product(a22,a27)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_399,plain,
    ( a22 != a1
    | product(a22,a27) = product(a1,a27) ),
    inference(resolve,[$cnf( $equal(product(a22,a27),product(a22,a27)) )],[refute_0_397,refute_0_398]) ).

cnf(refute_0_400,plain,
    product(a22,a27) = product(a1,a27),
    inference(resolve,[$cnf( $equal(a22,a1) )],[refute_0_396,refute_0_399]) ).

cnf(refute_0_401,plain,
    ( product(a1,a27) != a2
    | product(a22,a27) != product(a1,a27)
    | product(a22,a27) = a2 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a22,a27))),bind(Y0,$fot(product(a1,a27))),bind(Z0,$fot(a2))]]) ).

cnf(refute_0_402,plain,
    ( product(a1,a27) != a2
    | product(a22,a27) = a2 ),
    inference(resolve,[$cnf( $equal(product(a22,a27),product(a1,a27)) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    product(a22,a27) = a2,
    inference(resolve,[$cnf( $equal(product(a1,a27),a2) )],[refute_0_331,refute_0_402]) ).

cnf(refute_0_404,plain,
    ( product(a22,a27) != a2
    | product(a22,a27) != a21
    | a2 = a21 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a27),a21) ),[0],$fot(a2)]]) ).

cnf(refute_0_405,plain,
    ( product(a22,a27) != a21
    | a2 = a21 ),
    inference(resolve,[$cnf( $equal(product(a22,a27),a2) )],[refute_0_403,refute_0_404]) ).

cnf(refute_0_406,plain,
    a2 = a21,
    inference(resolve,[$cnf( $equal(product(a22,a27),a21) )],[refute_0_324,refute_0_405]) ).

cnf(refute_0_407,plain,
    ( a2 != a21
    | a21 = a2 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a2)),bind(Y0,$fot(a21))]]) ).

cnf(refute_0_408,plain,
    a21 = a2,
    inference(resolve,[$cnf( $equal(a2,a21) )],[refute_0_406,refute_0_407]) ).

cnf(refute_0_409,plain,
    product(a1,a21) = product(a1,a21),
    introduced(tautology,[refl,[$fot(product(a1,a21))]]) ).

cnf(refute_0_410,plain,
    ( a21 != a2
    | product(a1,a21) != product(a1,a21)
    | product(a1,a21) = product(a1,a2) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a21),product(a1,a21)) ),[1,1],$fot(a2)]]) ).

cnf(refute_0_411,plain,
    ( a21 != a2
    | product(a1,a21) = product(a1,a2) ),
    inference(resolve,[$cnf( $equal(product(a1,a21),product(a1,a21)) )],[refute_0_409,refute_0_410]) ).

cnf(refute_0_412,plain,
    product(a1,a21) = product(a1,a2),
    inference(resolve,[$cnf( $equal(a21,a2) )],[refute_0_408,refute_0_411]) ).

cnf(refute_0_413,plain,
    product(a25,a21) = product(a25,a21),
    introduced(tautology,[refl,[$fot(product(a25,a21))]]) ).

cnf(refute_0_414,plain,
    ( a25 != a1
    | product(a25,a21) != product(a25,a21)
    | product(a25,a21) = product(a1,a21) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a25,a21),product(a25,a21)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_415,plain,
    ( a25 != a1
    | product(a25,a21) = product(a1,a21) ),
    inference(resolve,[$cnf( $equal(product(a25,a21),product(a25,a21)) )],[refute_0_413,refute_0_414]) ).

cnf(refute_0_416,plain,
    product(a25,a21) = product(a1,a21),
    inference(resolve,[$cnf( $equal(a25,a1) )],[refute_0_367,refute_0_415]) ).

cnf(refute_0_417,plain,
    ( product(a1,a21) != product(a1,a2)
    | product(a25,a21) != product(a1,a21)
    | product(a25,a21) = product(a1,a2) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a25,a21))),bind(Y0,$fot(product(a1,a21))),bind(Z0,$fot(product(a1,a2)))]]) ).

cnf(refute_0_418,plain,
    ( product(a1,a21) != product(a1,a2)
    | product(a25,a21) = product(a1,a2) ),
    inference(resolve,[$cnf( $equal(product(a25,a21),product(a1,a21)) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    product(a25,a21) = product(a1,a2),
    inference(resolve,[$cnf( $equal(product(a1,a21),product(a1,a2)) )],[refute_0_412,refute_0_418]) ).

cnf(refute_0_420,plain,
    ( product(a25,a21) != a26
    | product(a25,a21) != product(a1,a2)
    | product(a1,a2) = a26 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a25,a21),a26) ),[0],$fot(product(a1,a2))]]) ).

cnf(refute_0_421,plain,
    ( product(a25,a21) != a26
    | product(a1,a2) = a26 ),
    inference(resolve,[$cnf( $equal(product(a25,a21),product(a1,a2)) )],[refute_0_419,refute_0_420]) ).

cnf(refute_0_422,plain,
    product(a1,a2) = a26,
    inference(resolve,[$cnf( $equal(product(a25,a21),a26) )],[refute_0_198,refute_0_421]) ).

cnf(refute_0_423,plain,
    product(a1,a25) = product(a1,a25),
    introduced(tautology,[refl,[$fot(product(a1,a25))]]) ).

cnf(refute_0_424,plain,
    ( a25 != a1
    | product(a1,a25) != product(a1,a25)
    | product(a1,a25) = product(a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a25),product(a1,a25)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_425,plain,
    ( a25 != a1
    | product(a1,a25) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a1,a25),product(a1,a25)) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    product(a1,a25) = product(a1,a1),
    inference(resolve,[$cnf( $equal(a25,a1) )],[refute_0_367,refute_0_425]) ).

cnf(refute_0_427,plain,
    product(a22,a25) = product(a22,a25),
    introduced(tautology,[refl,[$fot(product(a22,a25))]]) ).

cnf(refute_0_428,plain,
    ( a22 != a1
    | product(a22,a25) != product(a22,a25)
    | product(a22,a25) = product(a1,a25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a25),product(a22,a25)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_429,plain,
    ( a22 != a1
    | product(a22,a25) = product(a1,a25) ),
    inference(resolve,[$cnf( $equal(product(a22,a25),product(a22,a25)) )],[refute_0_427,refute_0_428]) ).

cnf(refute_0_430,plain,
    product(a22,a25) = product(a1,a25),
    inference(resolve,[$cnf( $equal(a22,a1) )],[refute_0_396,refute_0_429]) ).

cnf(refute_0_431,plain,
    ( product(a1,a25) != product(a1,a1)
    | product(a22,a25) != product(a1,a25)
    | product(a22,a25) = product(a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a22,a25))),bind(Y0,$fot(product(a1,a25))),bind(Z0,$fot(product(a1,a1)))]]) ).

cnf(refute_0_432,plain,
    ( product(a1,a25) != product(a1,a1)
    | product(a22,a25) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a22,a25),product(a1,a25)) )],[refute_0_430,refute_0_431]) ).

cnf(refute_0_433,plain,
    product(a22,a25) = product(a1,a1),
    inference(resolve,[$cnf( $equal(product(a1,a25),product(a1,a1)) )],[refute_0_426,refute_0_432]) ).

cnf(refute_0_434,plain,
    ( product(a1,a1) != a1
    | product(a22,a25) != product(a1,a1)
    | product(a22,a25) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a22,a25))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_435,plain,
    ( product(a1,a1) != a1
    | product(a22,a25) = a1 ),
    inference(resolve,[$cnf( $equal(product(a22,a25),product(a1,a1)) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    product(a22,a25) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_435]) ).

cnf(refute_0_437,plain,
    ( product(a22,a25) != a1
    | product(a22,a25) != a21
    | a1 = a21 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a22,a25),a21) ),[0],$fot(a1)]]) ).

cnf(refute_0_438,plain,
    ( product(a22,a25) != a21
    | a1 = a21 ),
    inference(resolve,[$cnf( $equal(product(a22,a25),a1) )],[refute_0_436,refute_0_437]) ).

cnf(refute_0_439,plain,
    ( a1 != a21
    | a21 != a2
    | a1 = a2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(a1,a2) ),[0],$fot(a21)]]) ).

cnf(refute_0_440,plain,
    ( a1 != a21
    | a1 = a2 ),
    inference(resolve,[$cnf( $equal(a21,a2) )],[refute_0_408,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( product(a22,a25) != a21
    | a1 = a2 ),
    inference(resolve,[$cnf( $equal(a1,a21) )],[refute_0_438,refute_0_440]) ).

cnf(refute_0_442,plain,
    a1 = a2,
    inference(resolve,[$cnf( $equal(product(a22,a25),a21) )],[refute_0_6,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( a1 != a2
    | a2 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a2))]]) ).

cnf(refute_0_444,plain,
    a2 = a1,
    inference(resolve,[$cnf( $equal(a1,a2) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    product(a1,a2) = product(a1,a2),
    introduced(tautology,[refl,[$fot(product(a1,a2))]]) ).

cnf(refute_0_446,plain,
    ( a2 != a1
    | product(a1,a2) != product(a1,a2)
    | product(a1,a2) = product(a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a2),product(a1,a2)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_447,plain,
    ( a2 != a1
    | product(a1,a2) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a1,a2),product(a1,a2)) )],[refute_0_445,refute_0_446]) ).

cnf(refute_0_448,plain,
    product(a1,a2) = product(a1,a1),
    inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_444,refute_0_447]) ).

cnf(refute_0_449,plain,
    ( product(a1,a1) != a1
    | product(a1,a2) != product(a1,a1)
    | product(a1,a2) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a1,a2))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_450,plain,
    ( product(a1,a1) != a1
    | product(a1,a2) = a1 ),
    inference(resolve,[$cnf( $equal(product(a1,a2),product(a1,a1)) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    product(a1,a2) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_450]) ).

cnf(refute_0_452,plain,
    ( product(a1,a2) != a1
    | product(a1,a2) != a26
    | a1 = a26 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a2),a26) ),[0],$fot(a1)]]) ).

cnf(refute_0_453,plain,
    ( product(a1,a2) != a26
    | a1 = a26 ),
    inference(resolve,[$cnf( $equal(product(a1,a2),a1) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    a1 = a26,
    inference(resolve,[$cnf( $equal(product(a1,a2),a26) )],[refute_0_422,refute_0_453]) ).

cnf(refute_0_455,plain,
    ( a1 != a26
    | a26 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a26))]]) ).

cnf(refute_0_456,plain,
    a26 = a1,
    inference(resolve,[$cnf( $equal(a1,a26) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    product(a26,a1) = product(a26,a1),
    introduced(tautology,[refl,[$fot(product(a26,a1))]]) ).

cnf(refute_0_458,plain,
    ( a26 != a1
    | product(a26,a1) != product(a26,a1)
    | product(a26,a1) = product(a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a26,a1),product(a26,a1)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_459,plain,
    ( a26 != a1
    | product(a26,a1) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a26,a1),product(a26,a1)) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    product(a26,a1) = product(a1,a1),
    inference(resolve,[$cnf( $equal(a26,a1) )],[refute_0_456,refute_0_459]) ).

cnf(refute_0_461,plain,
    ( product(a1,a1) != a1
    | product(a26,a1) != product(a1,a1)
    | product(a26,a1) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a26,a1))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_462,plain,
    ( product(a1,a1) != a1
    | product(a26,a1) = a1 ),
    inference(resolve,[$cnf( $equal(product(a26,a1),product(a1,a1)) )],[refute_0_460,refute_0_461]) ).

cnf(refute_0_463,plain,
    product(a26,a1) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_462]) ).

cnf(refute_0_464,plain,
    ( product(a26,a1) != a1
    | product(a26,a1) != a27
    | a1 = a27 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a26,a1),a27) ),[0],$fot(a1)]]) ).

cnf(refute_0_465,plain,
    ( product(a26,a1) != a27
    | a1 = a27 ),
    inference(resolve,[$cnf( $equal(product(a26,a1),a1) )],[refute_0_463,refute_0_464]) ).

cnf(refute_0_466,plain,
    a1 = a27,
    inference(resolve,[$cnf( $equal(product(a26,a1),a27) )],[knot_26,refute_0_465]) ).

cnf(refute_0_467,plain,
    ( a1 != a27
    | a27 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a27))]]) ).

cnf(refute_0_468,plain,
    a27 = a1,
    inference(resolve,[$cnf( $equal(a1,a27) )],[refute_0_466,refute_0_467]) ).

cnf(refute_0_469,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27))]]) ).

cnf(refute_0_470,plain,
    ( a27 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27)) ),[1,30],$fot(a1)]]) ).

cnf(refute_0_471,plain,
    ( a27 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27)) )],[refute_0_469,refute_0_470]) ).

cnf(refute_0_472,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(a27,a1) )],[refute_0_468,refute_0_471]) ).

cnf(refute_0_473,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27))]]) ).

cnf(refute_0_474,plain,
    ( a26 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27)) ),[1,29],$fot(a1)]]) ).

cnf(refute_0_475,plain,
    ( a26 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27)) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27),
    inference(resolve,[$cnf( $equal(a26,a1) )],[refute_0_456,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_478,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27)) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_472,refute_0_478]) ).

cnf(refute_0_480,plain,
    ( a2 != a1
    | a2 != a21
    | a1 = a21 ),
    introduced(tautology,[equality,[$cnf( $equal(a2,a21) ),[0],$fot(a1)]]) ).

cnf(refute_0_481,plain,
    ( a2 != a21
    | a1 = a21 ),
    inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_444,refute_0_480]) ).

cnf(refute_0_482,plain,
    a1 = a21,
    inference(resolve,[$cnf( $equal(a2,a21) )],[refute_0_406,refute_0_481]) ).

cnf(refute_0_483,plain,
    ( a1 != a21
    | a21 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a21))]]) ).

cnf(refute_0_484,plain,
    a21 = a1,
    inference(resolve,[$cnf( $equal(a1,a21) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    ( a21 != a1
    | a21 != a23
    | a1 = a23 ),
    introduced(tautology,[equality,[$cnf( $equal(a21,a23) ),[0],$fot(a1)]]) ).

cnf(refute_0_486,plain,
    ( a21 != a23
    | a1 = a23 ),
    inference(resolve,[$cnf( $equal(a21,a1) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    a1 = a23,
    inference(resolve,[$cnf( $equal(a21,a23) )],[refute_0_189,refute_0_486]) ).

cnf(refute_0_488,plain,
    ( a1 != a23
    | a23 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a23))]]) ).

cnf(refute_0_489,plain,
    a23 = a1,
    inference(resolve,[$cnf( $equal(a1,a23) )],[refute_0_487,refute_0_488]) ).

cnf(refute_0_490,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27))]]) ).

cnf(refute_0_491,plain,
    ( a23 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27)) ),[1,28],$fot(a1)]]) ).

cnf(refute_0_492,plain,
    ( a23 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27)) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27),
    inference(resolve,[$cnf( $equal(a23,a1) )],[refute_0_489,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_495,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27)) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_479,refute_0_495]) ).

cnf(refute_0_497,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27))]]) ).

cnf(refute_0_498,plain,
    ( a22 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27)) ),[1,27],$fot(a1)]]) ).

cnf(refute_0_499,plain,
    ( a22 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27)) )],[refute_0_497,refute_0_498]) ).

cnf(refute_0_500,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a22,a1) )],[refute_0_396,refute_0_499]) ).

cnf(refute_0_501,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_502,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27)) )],[refute_0_500,refute_0_501]) ).

cnf(refute_0_503,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_496,refute_0_502]) ).

cnf(refute_0_504,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_505,plain,
    ( a21 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27)) ),[1,26],$fot(a1)]]) ).

cnf(refute_0_506,plain,
    ( a21 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27)) )],[refute_0_504,refute_0_505]) ).

cnf(refute_0_507,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a21,a1) )],[refute_0_484,refute_0_506]) ).

cnf(refute_0_508,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_509,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27)) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_503,refute_0_509]) ).

cnf(refute_0_511,plain,
    product(product(a20,a29),a29) = a20,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a20)),bind(Y,$fot(a29))]]) ).

cnf(refute_0_512,plain,
    ( product(a20,a29) != a21
    | product(product(a20,a29),a29) != a20
    | product(a21,a29) = a20 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a20,a29),a29),a20) ),[0,0],$fot(a21)]]) ).

cnf(refute_0_513,plain,
    ( product(product(a20,a29),a29) != a20
    | product(a21,a29) = a20 ),
    inference(resolve,[$cnf( $equal(product(a20,a29),a21) )],[knot_20,refute_0_512]) ).

cnf(refute_0_514,plain,
    product(a21,a29) = a20,
    inference(resolve,[$cnf( $equal(product(product(a20,a29),a29),a20) )],[refute_0_511,refute_0_513]) ).

cnf(refute_0_515,plain,
    product(a21,a29) = product(a21,a29),
    introduced(tautology,[refl,[$fot(product(a21,a29))]]) ).

cnf(refute_0_516,plain,
    ( a21 != a2
    | product(a21,a29) != product(a21,a29)
    | product(a21,a29) = product(a2,a29) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,a29),product(a21,a29)) ),[1,0],$fot(a2)]]) ).

cnf(refute_0_517,plain,
    ( a21 != a2
    | product(a21,a29) = product(a2,a29) ),
    inference(resolve,[$cnf( $equal(product(a21,a29),product(a21,a29)) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    product(a21,a29) = product(a2,a29),
    inference(resolve,[$cnf( $equal(a21,a2) )],[refute_0_408,refute_0_517]) ).

cnf(refute_0_519,plain,
    ( product(a21,a29) != a20
    | product(a21,a29) != product(a2,a29)
    | product(a2,a29) = a20 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a21,a29),a20) ),[0],$fot(product(a2,a29))]]) ).

cnf(refute_0_520,plain,
    ( product(a21,a29) != a20
    | product(a2,a29) = a20 ),
    inference(resolve,[$cnf( $equal(product(a21,a29),product(a2,a29)) )],[refute_0_518,refute_0_519]) ).

cnf(refute_0_521,plain,
    product(a2,a29) = a20,
    inference(resolve,[$cnf( $equal(product(a21,a29),a20) )],[refute_0_514,refute_0_520]) ).

cnf(refute_0_522,plain,
    product(a28,a3) = product(a28,a3),
    introduced(tautology,[refl,[$fot(product(a28,a3))]]) ).

cnf(refute_0_523,plain,
    ( a3 != a1
    | product(a28,a3) != product(a28,a3)
    | product(a28,a3) = product(a28,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a28,a3),product(a28,a3)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_524,plain,
    ( a3 != a1
    | product(a28,a3) = product(a28,a1) ),
    inference(resolve,[$cnf( $equal(product(a28,a3),product(a28,a3)) )],[refute_0_522,refute_0_523]) ).

cnf(refute_0_525,plain,
    product(a28,a3) = product(a28,a1),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_524]) ).

cnf(refute_0_526,plain,
    ( product(a28,a3) != a29
    | product(a28,a3) != product(a28,a1)
    | product(a28,a1) = a29 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a28,a3),a29) ),[0],$fot(product(a28,a1))]]) ).

cnf(refute_0_527,plain,
    ( product(a28,a3) != a29
    | product(a28,a1) = a29 ),
    inference(resolve,[$cnf( $equal(product(a28,a3),product(a28,a1)) )],[refute_0_525,refute_0_526]) ).

cnf(refute_0_528,plain,
    product(a28,a1) = a29,
    inference(resolve,[$cnf( $equal(product(a28,a3),a29) )],[knot_28,refute_0_527]) ).

cnf(refute_0_529,plain,
    product(a27,a21) = product(a27,a21),
    introduced(tautology,[refl,[$fot(product(a27,a21))]]) ).

cnf(refute_0_530,plain,
    ( a21 != a2
    | product(a27,a21) != product(a27,a21)
    | product(a27,a21) = product(a27,a2) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a27,a21),product(a27,a21)) ),[1,1],$fot(a2)]]) ).

cnf(refute_0_531,plain,
    ( a21 != a2
    | product(a27,a21) = product(a27,a2) ),
    inference(resolve,[$cnf( $equal(product(a27,a21),product(a27,a21)) )],[refute_0_529,refute_0_530]) ).

cnf(refute_0_532,plain,
    product(a27,a21) = product(a27,a2),
    inference(resolve,[$cnf( $equal(a21,a2) )],[refute_0_408,refute_0_531]) ).

cnf(refute_0_533,plain,
    ( product(a27,a21) != a28
    | product(a27,a21) != product(a27,a2)
    | product(a27,a2) = a28 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a27,a21),a28) ),[0],$fot(product(a27,a2))]]) ).

cnf(refute_0_534,plain,
    ( product(a27,a21) != a28
    | product(a27,a2) = a28 ),
    inference(resolve,[$cnf( $equal(product(a27,a21),product(a27,a2)) )],[refute_0_532,refute_0_533]) ).

cnf(refute_0_535,plain,
    product(a27,a2) = a28,
    inference(resolve,[$cnf( $equal(product(a27,a21),a28) )],[knot_27,refute_0_534]) ).

cnf(refute_0_536,plain,
    product(a27,a2) = product(a27,a2),
    introduced(tautology,[refl,[$fot(product(a27,a2))]]) ).

cnf(refute_0_537,plain,
    ( a27 != a1
    | product(a27,a2) != product(a27,a2)
    | product(a27,a2) = product(a1,a2) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a27,a2),product(a27,a2)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_538,plain,
    ( a27 != a1
    | product(a27,a2) = product(a1,a2) ),
    inference(resolve,[$cnf( $equal(product(a27,a2),product(a27,a2)) )],[refute_0_536,refute_0_537]) ).

cnf(refute_0_539,plain,
    product(a27,a2) = product(a1,a2),
    inference(resolve,[$cnf( $equal(a27,a1) )],[refute_0_468,refute_0_538]) ).

cnf(refute_0_540,plain,
    ( product(a1,a2) != product(a1,a1)
    | product(a27,a2) != product(a1,a2)
    | product(a27,a2) = product(a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a27,a2))),bind(Y0,$fot(product(a1,a2))),bind(Z0,$fot(product(a1,a1)))]]) ).

cnf(refute_0_541,plain,
    ( product(a1,a2) != product(a1,a1)
    | product(a27,a2) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a27,a2),product(a1,a2)) )],[refute_0_539,refute_0_540]) ).

cnf(refute_0_542,plain,
    product(a27,a2) = product(a1,a1),
    inference(resolve,[$cnf( $equal(product(a1,a2),product(a1,a1)) )],[refute_0_448,refute_0_541]) ).

cnf(refute_0_543,plain,
    ( product(a1,a1) != a1
    | product(a27,a2) != product(a1,a1)
    | product(a27,a2) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a27,a2))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_544,plain,
    ( product(a1,a1) != a1
    | product(a27,a2) = a1 ),
    inference(resolve,[$cnf( $equal(product(a27,a2),product(a1,a1)) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    product(a27,a2) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_544]) ).

cnf(refute_0_546,plain,
    ( product(a27,a2) != a1
    | product(a27,a2) != a28
    | a1 = a28 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a27,a2),a28) ),[0],$fot(a1)]]) ).

cnf(refute_0_547,plain,
    ( product(a27,a2) != a28
    | a1 = a28 ),
    inference(resolve,[$cnf( $equal(product(a27,a2),a1) )],[refute_0_545,refute_0_546]) ).

cnf(refute_0_548,plain,
    a1 = a28,
    inference(resolve,[$cnf( $equal(product(a27,a2),a28) )],[refute_0_535,refute_0_547]) ).

cnf(refute_0_549,plain,
    ( a1 != a28
    | a28 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a28))]]) ).

cnf(refute_0_550,plain,
    a28 = a1,
    inference(resolve,[$cnf( $equal(a1,a28) )],[refute_0_548,refute_0_549]) ).

cnf(refute_0_551,plain,
    product(a28,a1) = product(a28,a1),
    introduced(tautology,[refl,[$fot(product(a28,a1))]]) ).

cnf(refute_0_552,plain,
    ( a28 != a1
    | product(a28,a1) != product(a28,a1)
    | product(a28,a1) = product(a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a28,a1),product(a28,a1)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_553,plain,
    ( a28 != a1
    | product(a28,a1) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a28,a1),product(a28,a1)) )],[refute_0_551,refute_0_552]) ).

cnf(refute_0_554,plain,
    product(a28,a1) = product(a1,a1),
    inference(resolve,[$cnf( $equal(a28,a1) )],[refute_0_550,refute_0_553]) ).

cnf(refute_0_555,plain,
    ( product(a1,a1) != a1
    | product(a28,a1) != product(a1,a1)
    | product(a28,a1) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a28,a1))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_556,plain,
    ( product(a1,a1) != a1
    | product(a28,a1) = a1 ),
    inference(resolve,[$cnf( $equal(product(a28,a1),product(a1,a1)) )],[refute_0_554,refute_0_555]) ).

cnf(refute_0_557,plain,
    product(a28,a1) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_556]) ).

cnf(refute_0_558,plain,
    ( product(a28,a1) != a1
    | product(a28,a1) != a29
    | a1 = a29 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a28,a1),a29) ),[0],$fot(a1)]]) ).

cnf(refute_0_559,plain,
    ( product(a28,a1) != a29
    | a1 = a29 ),
    inference(resolve,[$cnf( $equal(product(a28,a1),a1) )],[refute_0_557,refute_0_558]) ).

cnf(refute_0_560,plain,
    a1 = a29,
    inference(resolve,[$cnf( $equal(product(a28,a1),a29) )],[refute_0_528,refute_0_559]) ).

cnf(refute_0_561,plain,
    ( a1 != a29
    | a29 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a29))]]) ).

cnf(refute_0_562,plain,
    a29 = a1,
    inference(resolve,[$cnf( $equal(a1,a29) )],[refute_0_560,refute_0_561]) ).

cnf(refute_0_563,plain,
    product(a1,a29) = product(a1,a29),
    introduced(tautology,[refl,[$fot(product(a1,a29))]]) ).

cnf(refute_0_564,plain,
    ( a29 != a1
    | product(a1,a29) != product(a1,a29)
    | product(a1,a29) = product(a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a29),product(a1,a29)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_565,plain,
    ( a29 != a1
    | product(a1,a29) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a1,a29),product(a1,a29)) )],[refute_0_563,refute_0_564]) ).

cnf(refute_0_566,plain,
    product(a1,a29) = product(a1,a1),
    inference(resolve,[$cnf( $equal(a29,a1) )],[refute_0_562,refute_0_565]) ).

cnf(refute_0_567,plain,
    product(a2,a29) = product(a2,a29),
    introduced(tautology,[refl,[$fot(product(a2,a29))]]) ).

cnf(refute_0_568,plain,
    ( a2 != a1
    | product(a2,a29) != product(a2,a29)
    | product(a2,a29) = product(a1,a29) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a2,a29),product(a2,a29)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_569,plain,
    ( a2 != a1
    | product(a2,a29) = product(a1,a29) ),
    inference(resolve,[$cnf( $equal(product(a2,a29),product(a2,a29)) )],[refute_0_567,refute_0_568]) ).

cnf(refute_0_570,plain,
    product(a2,a29) = product(a1,a29),
    inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_444,refute_0_569]) ).

cnf(refute_0_571,plain,
    ( product(a1,a29) != product(a1,a1)
    | product(a2,a29) != product(a1,a29)
    | product(a2,a29) = product(a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a2,a29))),bind(Y0,$fot(product(a1,a29))),bind(Z0,$fot(product(a1,a1)))]]) ).

cnf(refute_0_572,plain,
    ( product(a1,a29) != product(a1,a1)
    | product(a2,a29) = product(a1,a1) ),
    inference(resolve,[$cnf( $equal(product(a2,a29),product(a1,a29)) )],[refute_0_570,refute_0_571]) ).

cnf(refute_0_573,plain,
    product(a2,a29) = product(a1,a1),
    inference(resolve,[$cnf( $equal(product(a1,a29),product(a1,a1)) )],[refute_0_566,refute_0_572]) ).

cnf(refute_0_574,plain,
    ( product(a1,a1) != a1
    | product(a2,a29) != product(a1,a1)
    | product(a2,a29) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a2,a29))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_575,plain,
    ( product(a1,a1) != a1
    | product(a2,a29) = a1 ),
    inference(resolve,[$cnf( $equal(product(a2,a29),product(a1,a1)) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    product(a2,a29) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_575]) ).

cnf(refute_0_577,plain,
    ( product(a2,a29) != a1
    | product(a2,a29) != a20
    | a1 = a20 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a2,a29),a20) ),[0],$fot(a1)]]) ).

cnf(refute_0_578,plain,
    ( product(a2,a29) != a20
    | a1 = a20 ),
    inference(resolve,[$cnf( $equal(product(a2,a29),a1) )],[refute_0_576,refute_0_577]) ).

cnf(refute_0_579,plain,
    a1 = a20,
    inference(resolve,[$cnf( $equal(product(a2,a29),a20) )],[refute_0_521,refute_0_578]) ).

cnf(refute_0_580,plain,
    ( a1 != a20
    | a20 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a20))]]) ).

cnf(refute_0_581,plain,
    a20 = a1,
    inference(resolve,[$cnf( $equal(a1,a20) )],[refute_0_579,refute_0_580]) ).

cnf(refute_0_582,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_583,plain,
    ( a20 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27)) ),[1,25],$fot(a1)]]) ).

cnf(refute_0_584,plain,
    ( a20 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27)) )],[refute_0_582,refute_0_583]) ).

cnf(refute_0_585,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a20,a1) )],[refute_0_581,refute_0_584]) ).

cnf(refute_0_586,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_587,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27)) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_510,refute_0_587]) ).

cnf(refute_0_589,plain,
    product(product(a11,a5),a5) = a11,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a11)),bind(Y,$fot(a5))]]) ).

cnf(refute_0_590,plain,
    ( product(a11,a5) != a12
    | product(product(a11,a5),a5) != a11
    | product(a12,a5) = a11 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a11,a5),a5),a11) ),[0,0],$fot(a12)]]) ).

cnf(refute_0_591,plain,
    ( product(product(a11,a5),a5) != a11
    | product(a12,a5) = a11 ),
    inference(resolve,[$cnf( $equal(product(a11,a5),a12) )],[knot_11,refute_0_590]) ).

cnf(refute_0_592,plain,
    product(a12,a5) = a11,
    inference(resolve,[$cnf( $equal(product(product(a11,a5),a5),a11) )],[refute_0_589,refute_0_591]) ).

cnf(refute_0_593,plain,
    product(product(a19,a11),a11) = a19,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a19)),bind(Y,$fot(a11))]]) ).

cnf(refute_0_594,plain,
    ( product(a19,a11) != a20
    | product(product(a19,a11),a11) != a19
    | product(a20,a11) = a19 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a19,a11),a11),a19) ),[0,0],$fot(a20)]]) ).

cnf(refute_0_595,plain,
    ( product(product(a19,a11),a11) != a19
    | product(a20,a11) = a19 ),
    inference(resolve,[$cnf( $equal(product(a19,a11),a20) )],[knot_19,refute_0_594]) ).

cnf(refute_0_596,plain,
    product(a20,a11) = a19,
    inference(resolve,[$cnf( $equal(product(product(a19,a11),a11),a19) )],[refute_0_593,refute_0_595]) ).

cnf(refute_0_597,plain,
    product(a3,a29) = product(a3,a29),
    introduced(tautology,[refl,[$fot(product(a3,a29))]]) ).

cnf(refute_0_598,plain,
    ( a3 != a1
    | product(a3,a29) != product(a3,a29)
    | product(a3,a29) = product(a1,a29) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a3,a29),product(a3,a29)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_599,plain,
    ( a3 != a1
    | product(a3,a29) = product(a1,a29) ),
    inference(resolve,[$cnf( $equal(product(a3,a29),product(a3,a29)) )],[refute_0_597,refute_0_598]) ).

cnf(refute_0_600,plain,
    product(a3,a29) = product(a1,a29),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_599]) ).

cnf(refute_0_601,plain,
    ( product(a3,a29) != a4
    | product(a3,a29) != product(a1,a29)
    | product(a1,a29) = a4 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a3,a29),a4) ),[0],$fot(product(a1,a29))]]) ).

cnf(refute_0_602,plain,
    ( product(a3,a29) != a4
    | product(a1,a29) = a4 ),
    inference(resolve,[$cnf( $equal(product(a3,a29),product(a1,a29)) )],[refute_0_600,refute_0_601]) ).

cnf(refute_0_603,plain,
    product(a1,a29) = a4,
    inference(resolve,[$cnf( $equal(product(a3,a29),a4) )],[knot_04,refute_0_602]) ).

cnf(refute_0_604,plain,
    ( product(a1,a1) != a1
    | product(a1,a29) != product(a1,a1)
    | product(a1,a29) = a1 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a1,a29))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).

cnf(refute_0_605,plain,
    ( product(a1,a1) != a1
    | product(a1,a29) = a1 ),
    inference(resolve,[$cnf( $equal(product(a1,a29),product(a1,a1)) )],[refute_0_566,refute_0_604]) ).

cnf(refute_0_606,plain,
    product(a1,a29) = a1,
    inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_0,refute_0_605]) ).

cnf(refute_0_607,plain,
    ( product(a1,a29) != a1
    | product(a1,a29) != a4
    | a1 = a4 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a1,a29),a4) ),[0],$fot(a1)]]) ).

cnf(refute_0_608,plain,
    ( product(a1,a29) != a4
    | a1 = a4 ),
    inference(resolve,[$cnf( $equal(product(a1,a29),a1) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    a1 = a4,
    inference(resolve,[$cnf( $equal(product(a1,a29),a4) )],[refute_0_603,refute_0_608]) ).

cnf(refute_0_610,plain,
    ( a1 != a4
    | a4 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a4))]]) ).

cnf(refute_0_611,plain,
    a4 = a1,
    inference(resolve,[$cnf( $equal(a1,a4) )],[refute_0_609,refute_0_610]) ).

cnf(refute_0_612,plain,
    product(a4,a11) = product(a4,a11),
    introduced(tautology,[refl,[$fot(product(a4,a11))]]) ).

cnf(refute_0_613,plain,
    ( a4 != a1
    | product(a4,a11) != product(a4,a11)
    | product(a4,a11) = product(a1,a11) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a4,a11),product(a4,a11)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_614,plain,
    ( a4 != a1
    | product(a4,a11) = product(a1,a11) ),
    inference(resolve,[$cnf( $equal(product(a4,a11),product(a4,a11)) )],[refute_0_612,refute_0_613]) ).

cnf(refute_0_615,plain,
    product(a4,a11) = product(a1,a11),
    inference(resolve,[$cnf( $equal(a4,a1) )],[refute_0_611,refute_0_614]) ).

cnf(refute_0_616,plain,
    ( product(a4,a11) != a5
    | product(a4,a11) != product(a1,a11)
    | product(a1,a11) = a5 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a4,a11),a5) ),[0],$fot(product(a1,a11))]]) ).

cnf(refute_0_617,plain,
    ( product(a4,a11) != a5
    | product(a1,a11) = a5 ),
    inference(resolve,[$cnf( $equal(product(a4,a11),product(a1,a11)) )],[refute_0_615,refute_0_616]) ).

cnf(refute_0_618,plain,
    product(a1,a11) = a5,
    inference(resolve,[$cnf( $equal(product(a4,a11),a5) )],[knot_05,refute_0_617]) ).

cnf(refute_0_619,plain,
    product(a20,a11) = product(a20,a11),
    introduced(tautology,[refl,[$fot(product(a20,a11))]]) ).

cnf(refute_0_620,plain,
    ( a20 != a1
    | product(a20,a11) != product(a20,a11)
    | product(a20,a11) = product(a1,a11) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a20,a11),product(a20,a11)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_621,plain,
    ( a20 != a1
    | product(a20,a11) = product(a1,a11) ),
    inference(resolve,[$cnf( $equal(product(a20,a11),product(a20,a11)) )],[refute_0_619,refute_0_620]) ).

cnf(refute_0_622,plain,
    product(a20,a11) = product(a1,a11),
    inference(resolve,[$cnf( $equal(a20,a1) )],[refute_0_581,refute_0_621]) ).

cnf(refute_0_623,plain,
    ( product(a1,a11) != a5
    | product(a20,a11) != product(a1,a11)
    | product(a20,a11) = a5 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a20,a11))),bind(Y0,$fot(product(a1,a11))),bind(Z0,$fot(a5))]]) ).

cnf(refute_0_624,plain,
    ( product(a1,a11) != a5
    | product(a20,a11) = a5 ),
    inference(resolve,[$cnf( $equal(product(a20,a11),product(a1,a11)) )],[refute_0_622,refute_0_623]) ).

cnf(refute_0_625,plain,
    product(a20,a11) = a5,
    inference(resolve,[$cnf( $equal(product(a1,a11),a5) )],[refute_0_618,refute_0_624]) ).

cnf(refute_0_626,plain,
    ( product(a20,a11) != a19
    | product(a20,a11) != a5
    | a5 = a19 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a20,a11),a19) ),[0],$fot(a5)]]) ).

cnf(refute_0_627,plain,
    ( product(a20,a11) != a19
    | a5 = a19 ),
    inference(resolve,[$cnf( $equal(product(a20,a11),a5) )],[refute_0_625,refute_0_626]) ).

cnf(refute_0_628,plain,
    a5 = a19,
    inference(resolve,[$cnf( $equal(product(a20,a11),a19) )],[refute_0_596,refute_0_627]) ).

cnf(refute_0_629,plain,
    product(a12,a5) = product(a12,a5),
    introduced(tautology,[refl,[$fot(product(a12,a5))]]) ).

cnf(refute_0_630,plain,
    ( a5 != a19
    | product(a12,a5) != product(a12,a5)
    | product(a12,a5) = product(a12,a19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a12,a5),product(a12,a5)) ),[1,1],$fot(a19)]]) ).

cnf(refute_0_631,plain,
    ( a5 != a19
    | product(a12,a5) = product(a12,a19) ),
    inference(resolve,[$cnf( $equal(product(a12,a5),product(a12,a5)) )],[refute_0_629,refute_0_630]) ).

cnf(refute_0_632,plain,
    product(a12,a5) = product(a12,a19),
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_631]) ).

cnf(refute_0_633,plain,
    ( product(a12,a19) != a13
    | product(a12,a5) != product(a12,a19)
    | product(a12,a5) = a13 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a12,a5))),bind(Y0,$fot(product(a12,a19))),bind(Z0,$fot(a13))]]) ).

cnf(refute_0_634,plain,
    ( product(a12,a19) != a13
    | product(a12,a5) = a13 ),
    inference(resolve,[$cnf( $equal(product(a12,a5),product(a12,a19)) )],[refute_0_632,refute_0_633]) ).

cnf(refute_0_635,plain,
    product(a12,a5) = a13,
    inference(resolve,[$cnf( $equal(product(a12,a19),a13) )],[knot_12,refute_0_634]) ).

cnf(refute_0_636,plain,
    ( product(a12,a5) != a11
    | product(a12,a5) != a13
    | a13 = a11 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a12,a5),a11) ),[0],$fot(a13)]]) ).

cnf(refute_0_637,plain,
    ( product(a12,a5) != a11
    | a13 = a11 ),
    inference(resolve,[$cnf( $equal(product(a12,a5),a13) )],[refute_0_635,refute_0_636]) ).

cnf(refute_0_638,plain,
    a13 = a11,
    inference(resolve,[$cnf( $equal(product(a12,a5),a11) )],[refute_0_592,refute_0_637]) ).

cnf(refute_0_639,plain,
    product(product(a7,a19),a19) = a7,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a7)),bind(Y,$fot(a19))]]) ).

cnf(refute_0_640,plain,
    ( product(a7,a19) != a8
    | product(product(a7,a19),a19) != a7
    | product(a8,a19) = a7 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a7,a19),a19),a7) ),[0,0],$fot(a8)]]) ).

cnf(refute_0_641,plain,
    ( product(product(a7,a19),a19) != a7
    | product(a8,a19) = a7 ),
    inference(resolve,[$cnf( $equal(product(a7,a19),a8) )],[knot_07,refute_0_640]) ).

cnf(refute_0_642,plain,
    product(a8,a19) = a7,
    inference(resolve,[$cnf( $equal(product(product(a7,a19),a19),a7) )],[refute_0_639,refute_0_641]) ).

cnf(refute_0_643,plain,
    product(a8,a5) = product(a8,a5),
    introduced(tautology,[refl,[$fot(product(a8,a5))]]) ).

cnf(refute_0_644,plain,
    ( a5 != a19
    | product(a8,a5) != product(a8,a5)
    | product(a8,a5) = product(a8,a19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a8,a5),product(a8,a5)) ),[1,1],$fot(a19)]]) ).

cnf(refute_0_645,plain,
    ( a5 != a19
    | product(a8,a5) = product(a8,a19) ),
    inference(resolve,[$cnf( $equal(product(a8,a5),product(a8,a5)) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    product(a8,a5) = product(a8,a19),
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_645]) ).

cnf(refute_0_647,plain,
    ( product(a8,a19) != a7
    | product(a8,a5) != product(a8,a19)
    | product(a8,a5) = a7 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a8,a5))),bind(Y0,$fot(product(a8,a19))),bind(Z0,$fot(a7))]]) ).

cnf(refute_0_648,plain,
    ( product(a8,a19) != a7
    | product(a8,a5) = a7 ),
    inference(resolve,[$cnf( $equal(product(a8,a5),product(a8,a19)) )],[refute_0_646,refute_0_647]) ).

cnf(refute_0_649,plain,
    product(a8,a5) = a7,
    inference(resolve,[$cnf( $equal(product(a8,a19),a7) )],[refute_0_642,refute_0_648]) ).

cnf(refute_0_650,plain,
    ( product(a8,a5) != a7
    | product(a8,a5) != a9
    | a7 = a9 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a8,a5),a9) ),[0],$fot(a7)]]) ).

cnf(refute_0_651,plain,
    ( product(a8,a5) != a9
    | a7 = a9 ),
    inference(resolve,[$cnf( $equal(product(a8,a5),a7) )],[refute_0_649,refute_0_650]) ).

cnf(refute_0_652,plain,
    a7 = a9,
    inference(resolve,[$cnf( $equal(product(a8,a5),a9) )],[knot_08,refute_0_651]) ).

cnf(refute_0_653,plain,
    ( a7 != a9
    | a9 = a7 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a7)),bind(Y0,$fot(a9))]]) ).

cnf(refute_0_654,plain,
    a9 = a7,
    inference(resolve,[$cnf( $equal(a7,a9) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    product(product(a9,a17),a17) = a9,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a9)),bind(Y,$fot(a17))]]) ).

cnf(refute_0_656,plain,
    ( product(a9,a17) != a10
    | product(product(a9,a17),a17) != a9
    | product(a10,a17) = a9 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a9,a17),a17),a9) ),[0,0],$fot(a10)]]) ).

cnf(refute_0_657,plain,
    ( product(product(a9,a17),a17) != a9
    | product(a10,a17) = a9 ),
    inference(resolve,[$cnf( $equal(product(a9,a17),a10) )],[knot_09,refute_0_656]) ).

cnf(refute_0_658,plain,
    product(a10,a17) = a9,
    inference(resolve,[$cnf( $equal(product(product(a9,a17),a17),a9) )],[refute_0_655,refute_0_657]) ).

cnf(refute_0_659,plain,
    ( a9 != a7
    | product(a10,a17) != a9
    | product(a10,a17) = a7 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a10,a17))),bind(Y0,$fot(a9)),bind(Z0,$fot(a7))]]) ).

cnf(refute_0_660,plain,
    ( a9 != a7
    | product(a10,a17) = a7 ),
    inference(resolve,[$cnf( $equal(product(a10,a17),a9) )],[refute_0_658,refute_0_659]) ).

cnf(refute_0_661,plain,
    product(a10,a17) = a7,
    inference(resolve,[$cnf( $equal(a9,a7) )],[refute_0_654,refute_0_660]) ).

cnf(refute_0_662,plain,
    product(product(a10,a7),a7) = a10,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a10)),bind(Y,$fot(a7))]]) ).

cnf(refute_0_663,plain,
    ( product(a10,a7) != a11
    | product(product(a10,a7),a7) != a10
    | product(a11,a7) = a10 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a10,a7),a7),a10) ),[0,0],$fot(a11)]]) ).

cnf(refute_0_664,plain,
    ( product(product(a10,a7),a7) != a10
    | product(a11,a7) = a10 ),
    inference(resolve,[$cnf( $equal(product(a10,a7),a11) )],[knot_10,refute_0_663]) ).

cnf(refute_0_665,plain,
    product(a11,a7) = a10,
    inference(resolve,[$cnf( $equal(product(product(a10,a7),a7),a10) )],[refute_0_662,refute_0_664]) ).

cnf(refute_0_666,plain,
    product(a13,a7) = product(a13,a7),
    introduced(tautology,[refl,[$fot(product(a13,a7))]]) ).

cnf(refute_0_667,plain,
    ( a13 != a11
    | product(a13,a7) != product(a13,a7)
    | product(a13,a7) = product(a11,a7) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a13,a7),product(a13,a7)) ),[1,0],$fot(a11)]]) ).

cnf(refute_0_668,plain,
    ( a13 != a11
    | product(a13,a7) = product(a11,a7) ),
    inference(resolve,[$cnf( $equal(product(a13,a7),product(a13,a7)) )],[refute_0_666,refute_0_667]) ).

cnf(refute_0_669,plain,
    product(a13,a7) = product(a11,a7),
    inference(resolve,[$cnf( $equal(a13,a11) )],[refute_0_638,refute_0_668]) ).

cnf(refute_0_670,plain,
    ( product(a11,a7) != a10
    | product(a13,a7) != product(a11,a7)
    | product(a13,a7) = a10 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a13,a7))),bind(Y0,$fot(product(a11,a7))),bind(Z0,$fot(a10))]]) ).

cnf(refute_0_671,plain,
    ( product(a11,a7) != a10
    | product(a13,a7) = a10 ),
    inference(resolve,[$cnf( $equal(product(a13,a7),product(a11,a7)) )],[refute_0_669,refute_0_670]) ).

cnf(refute_0_672,plain,
    product(a13,a7) = a10,
    inference(resolve,[$cnf( $equal(product(a11,a7),a10) )],[refute_0_665,refute_0_671]) ).

cnf(refute_0_673,plain,
    ( product(a13,a7) != a10
    | product(a13,a7) != a14
    | a10 = a14 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a13,a7),a14) ),[0],$fot(a10)]]) ).

cnf(refute_0_674,plain,
    ( product(a13,a7) != a14
    | a10 = a14 ),
    inference(resolve,[$cnf( $equal(product(a13,a7),a10) )],[refute_0_672,refute_0_673]) ).

cnf(refute_0_675,plain,
    a10 = a14,
    inference(resolve,[$cnf( $equal(product(a13,a7),a14) )],[knot_13,refute_0_674]) ).

cnf(refute_0_676,plain,
    ( a10 != a14
    | a14 = a10 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a10)),bind(Y0,$fot(a14))]]) ).

cnf(refute_0_677,plain,
    a14 = a10,
    inference(resolve,[$cnf( $equal(a10,a14) )],[refute_0_675,refute_0_676]) ).

cnf(refute_0_678,plain,
    product(a14,a17) = product(a14,a17),
    introduced(tautology,[refl,[$fot(product(a14,a17))]]) ).

cnf(refute_0_679,plain,
    ( a14 != a10
    | product(a14,a17) != product(a14,a17)
    | product(a14,a17) = product(a10,a17) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a14,a17),product(a14,a17)) ),[1,0],$fot(a10)]]) ).

cnf(refute_0_680,plain,
    ( a14 != a10
    | product(a14,a17) = product(a10,a17) ),
    inference(resolve,[$cnf( $equal(product(a14,a17),product(a14,a17)) )],[refute_0_678,refute_0_679]) ).

cnf(refute_0_681,plain,
    product(a14,a17) = product(a10,a17),
    inference(resolve,[$cnf( $equal(a14,a10) )],[refute_0_677,refute_0_680]) ).

cnf(refute_0_682,plain,
    ( product(a10,a17) != a7
    | product(a14,a17) != product(a10,a17)
    | product(a14,a17) = a7 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a14,a17))),bind(Y0,$fot(product(a10,a17))),bind(Z0,$fot(a7))]]) ).

cnf(refute_0_683,plain,
    ( product(a10,a17) != a7
    | product(a14,a17) = a7 ),
    inference(resolve,[$cnf( $equal(product(a14,a17),product(a10,a17)) )],[refute_0_681,refute_0_682]) ).

cnf(refute_0_684,plain,
    product(a14,a17) = a7,
    inference(resolve,[$cnf( $equal(product(a10,a17),a7) )],[refute_0_661,refute_0_683]) ).

cnf(refute_0_685,plain,
    ( product(a14,a17) != a15
    | product(a14,a17) != a7
    | a7 = a15 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a14,a17),a15) ),[0],$fot(a7)]]) ).

cnf(refute_0_686,plain,
    ( product(a14,a17) != a15
    | a7 = a15 ),
    inference(resolve,[$cnf( $equal(product(a14,a17),a7) )],[refute_0_684,refute_0_685]) ).

cnf(refute_0_687,plain,
    a7 = a15,
    inference(resolve,[$cnf( $equal(product(a14,a17),a15) )],[knot_14,refute_0_686]) ).

cnf(refute_0_688,plain,
    product(a10,a7) = product(a10,a7),
    introduced(tautology,[refl,[$fot(product(a10,a7))]]) ).

cnf(refute_0_689,plain,
    ( a7 != a15
    | product(a10,a7) != product(a10,a7)
    | product(a10,a7) = product(a10,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a10,a7),product(a10,a7)) ),[1,1],$fot(a15)]]) ).

cnf(refute_0_690,plain,
    ( a7 != a15
    | product(a10,a7) = product(a10,a15) ),
    inference(resolve,[$cnf( $equal(product(a10,a7),product(a10,a7)) )],[refute_0_688,refute_0_689]) ).

cnf(refute_0_691,plain,
    product(a10,a7) = product(a10,a15),
    inference(resolve,[$cnf( $equal(a7,a15) )],[refute_0_687,refute_0_690]) ).

cnf(refute_0_692,plain,
    ( product(a10,a7) != a11
    | product(a10,a7) != product(a10,a15)
    | product(a10,a15) = a11 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a10,a7),a11) ),[0],$fot(product(a10,a15))]]) ).

cnf(refute_0_693,plain,
    ( product(a10,a7) != a11
    | product(a10,a15) = a11 ),
    inference(resolve,[$cnf( $equal(product(a10,a7),product(a10,a15)) )],[refute_0_691,refute_0_692]) ).

cnf(refute_0_694,plain,
    product(a10,a15) = a11,
    inference(resolve,[$cnf( $equal(product(a10,a7),a11) )],[knot_10,refute_0_693]) ).

cnf(refute_0_695,plain,
    product(a10,a10) = a10,
    inference(subst,[],[involutory_quandle:[bind(X,$fot(a10))]]) ).

cnf(refute_0_696,plain,
    product(product(a14,a17),a17) = a14,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a14)),bind(Y,$fot(a17))]]) ).

cnf(refute_0_697,plain,
    ( product(a14,a17) != a15
    | product(product(a14,a17),a17) != a14
    | product(a15,a17) = a14 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a14,a17),a17),a14) ),[0,0],$fot(a15)]]) ).

cnf(refute_0_698,plain,
    ( product(product(a14,a17),a17) != a14
    | product(a15,a17) = a14 ),
    inference(resolve,[$cnf( $equal(product(a14,a17),a15) )],[knot_14,refute_0_697]) ).

cnf(refute_0_699,plain,
    product(a15,a17) = a14,
    inference(resolve,[$cnf( $equal(product(product(a14,a17),a17),a14) )],[refute_0_696,refute_0_698]) ).

cnf(refute_0_700,plain,
    ( a14 != a10
    | product(a15,a17) != a14
    | product(a15,a17) = a10 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a17),a14) ),[1],$fot(a10)]]) ).

cnf(refute_0_701,plain,
    ( product(a15,a17) != a14
    | product(a15,a17) = a10 ),
    inference(resolve,[$cnf( $equal(a14,a10) )],[refute_0_677,refute_0_700]) ).

cnf(refute_0_702,plain,
    product(a15,a17) = a10,
    inference(resolve,[$cnf( $equal(product(a15,a17),a14) )],[refute_0_699,refute_0_701]) ).

cnf(refute_0_703,plain,
    product(a15,a15) = a15,
    inference(subst,[],[involutory_quandle:[bind(X,$fot(a15))]]) ).

cnf(refute_0_704,plain,
    product(product(a15,a5),a5) = a15,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a15)),bind(Y,$fot(a5))]]) ).

cnf(refute_0_705,plain,
    ( product(a15,a5) != a16
    | product(product(a15,a5),a5) != a15
    | product(a16,a5) = a15 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a15,a5),a5),a15) ),[0,0],$fot(a16)]]) ).

cnf(refute_0_706,plain,
    ( product(product(a15,a5),a5) != a15
    | product(a16,a5) = a15 ),
    inference(resolve,[$cnf( $equal(product(a15,a5),a16) )],[knot_15,refute_0_705]) ).

cnf(refute_0_707,plain,
    product(a16,a5) = a15,
    inference(resolve,[$cnf( $equal(product(product(a15,a5),a5),a15) )],[refute_0_704,refute_0_706]) ).

cnf(refute_0_708,plain,
    product(a16,a5) = product(a16,a5),
    introduced(tautology,[refl,[$fot(product(a16,a5))]]) ).

cnf(refute_0_709,plain,
    ( a5 != a19
    | product(a16,a5) != product(a16,a5)
    | product(a16,a5) = product(a16,a19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a16,a5),product(a16,a5)) ),[1,1],$fot(a19)]]) ).

cnf(refute_0_710,plain,
    ( a5 != a19
    | product(a16,a5) = product(a16,a19) ),
    inference(resolve,[$cnf( $equal(product(a16,a5),product(a16,a5)) )],[refute_0_708,refute_0_709]) ).

cnf(refute_0_711,plain,
    product(a16,a5) = product(a16,a19),
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_710]) ).

cnf(refute_0_712,plain,
    ( product(a16,a19) != a17
    | product(a16,a5) != product(a16,a19)
    | product(a16,a5) = a17 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a16,a5))),bind(Y0,$fot(product(a16,a19))),bind(Z0,$fot(a17))]]) ).

cnf(refute_0_713,plain,
    ( product(a16,a19) != a17
    | product(a16,a5) = a17 ),
    inference(resolve,[$cnf( $equal(product(a16,a5),product(a16,a19)) )],[refute_0_711,refute_0_712]) ).

cnf(refute_0_714,plain,
    product(a16,a5) = a17,
    inference(resolve,[$cnf( $equal(product(a16,a19),a17) )],[knot_16,refute_0_713]) ).

cnf(refute_0_715,plain,
    ( product(a16,a5) != a15
    | product(a16,a5) != a17
    | a17 = a15 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a16,a5),a15) ),[0],$fot(a17)]]) ).

cnf(refute_0_716,plain,
    ( product(a16,a5) != a15
    | a17 = a15 ),
    inference(resolve,[$cnf( $equal(product(a16,a5),a17) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    a17 = a15,
    inference(resolve,[$cnf( $equal(product(a16,a5),a15) )],[refute_0_707,refute_0_716]) ).

cnf(refute_0_718,plain,
    product(a15,a17) = product(a15,a17),
    introduced(tautology,[refl,[$fot(product(a15,a17))]]) ).

cnf(refute_0_719,plain,
    ( a17 != a15
    | product(a15,a17) != product(a15,a17)
    | product(a15,a17) = product(a15,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a17),product(a15,a17)) ),[1,1],$fot(a15)]]) ).

cnf(refute_0_720,plain,
    ( a17 != a15
    | product(a15,a17) = product(a15,a15) ),
    inference(resolve,[$cnf( $equal(product(a15,a17),product(a15,a17)) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    product(a15,a17) = product(a15,a15),
    inference(resolve,[$cnf( $equal(a17,a15) )],[refute_0_717,refute_0_720]) ).

cnf(refute_0_722,plain,
    ( product(a15,a15) != a15
    | product(a15,a17) != product(a15,a15)
    | product(a15,a17) = a15 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a15,a17))),bind(Y0,$fot(product(a15,a15))),bind(Z0,$fot(a15))]]) ).

cnf(refute_0_723,plain,
    ( product(a15,a15) != a15
    | product(a15,a17) = a15 ),
    inference(resolve,[$cnf( $equal(product(a15,a17),product(a15,a15)) )],[refute_0_721,refute_0_722]) ).

cnf(refute_0_724,plain,
    product(a15,a17) = a15,
    inference(resolve,[$cnf( $equal(product(a15,a15),a15) )],[refute_0_703,refute_0_723]) ).

cnf(refute_0_725,plain,
    ( product(a15,a17) != a10
    | product(a15,a17) != a15
    | a15 = a10 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a17),a10) ),[0],$fot(a15)]]) ).

cnf(refute_0_726,plain,
    ( product(a15,a17) != a10
    | a15 = a10 ),
    inference(resolve,[$cnf( $equal(product(a15,a17),a15) )],[refute_0_724,refute_0_725]) ).

cnf(refute_0_727,plain,
    a15 = a10,
    inference(resolve,[$cnf( $equal(product(a15,a17),a10) )],[refute_0_702,refute_0_726]) ).

cnf(refute_0_728,plain,
    product(a10,a15) = product(a10,a15),
    introduced(tautology,[refl,[$fot(product(a10,a15))]]) ).

cnf(refute_0_729,plain,
    ( a15 != a10
    | product(a10,a15) != product(a10,a15)
    | product(a10,a15) = product(a10,a10) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a10,a15),product(a10,a15)) ),[1,1],$fot(a10)]]) ).

cnf(refute_0_730,plain,
    ( a15 != a10
    | product(a10,a15) = product(a10,a10) ),
    inference(resolve,[$cnf( $equal(product(a10,a15),product(a10,a15)) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    product(a10,a15) = product(a10,a10),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_730]) ).

cnf(refute_0_732,plain,
    ( product(a10,a10) != a10
    | product(a10,a15) != product(a10,a10)
    | product(a10,a15) = a10 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a10,a15))),bind(Y0,$fot(product(a10,a10))),bind(Z0,$fot(a10))]]) ).

cnf(refute_0_733,plain,
    ( product(a10,a10) != a10
    | product(a10,a15) = a10 ),
    inference(resolve,[$cnf( $equal(product(a10,a15),product(a10,a10)) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    product(a10,a15) = a10,
    inference(resolve,[$cnf( $equal(product(a10,a10),a10) )],[refute_0_695,refute_0_733]) ).

cnf(refute_0_735,plain,
    ( product(a10,a15) != a10
    | product(a10,a15) != a11
    | a10 = a11 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a10,a15),a11) ),[0],$fot(a10)]]) ).

cnf(refute_0_736,plain,
    ( product(a10,a15) != a11
    | a10 = a11 ),
    inference(resolve,[$cnf( $equal(product(a10,a15),a10) )],[refute_0_734,refute_0_735]) ).

cnf(refute_0_737,plain,
    a10 = a11,
    inference(resolve,[$cnf( $equal(product(a10,a15),a11) )],[refute_0_694,refute_0_736]) ).

cnf(refute_0_738,plain,
    ( a20 != a1
    | product(a19,a11) != a20
    | product(a19,a11) = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a19,a11),a20) ),[1],$fot(a1)]]) ).

cnf(refute_0_739,plain,
    ( product(a19,a11) != a20
    | product(a19,a11) = a1 ),
    inference(resolve,[$cnf( $equal(a20,a1) )],[refute_0_581,refute_0_738]) ).

cnf(refute_0_740,plain,
    product(a19,a11) = a1,
    inference(resolve,[$cnf( $equal(product(a19,a11),a20) )],[knot_19,refute_0_739]) ).

cnf(refute_0_741,plain,
    product(a17,a9) = product(a17,a9),
    introduced(tautology,[refl,[$fot(product(a17,a9))]]) ).

cnf(refute_0_742,plain,
    ( a9 != a7
    | product(a17,a9) != product(a17,a9)
    | product(a17,a9) = product(a17,a7) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a17,a9),product(a17,a9)) ),[1,1],$fot(a7)]]) ).

cnf(refute_0_743,plain,
    ( a9 != a7
    | product(a17,a9) = product(a17,a7) ),
    inference(resolve,[$cnf( $equal(product(a17,a9),product(a17,a9)) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    product(a17,a9) = product(a17,a7),
    inference(resolve,[$cnf( $equal(a9,a7) )],[refute_0_654,refute_0_743]) ).

cnf(refute_0_745,plain,
    ( product(a17,a9) != a18
    | product(a17,a9) != product(a17,a7)
    | product(a17,a7) = a18 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a17,a9),a18) ),[0],$fot(product(a17,a7))]]) ).

cnf(refute_0_746,plain,
    ( product(a17,a9) != a18
    | product(a17,a7) = a18 ),
    inference(resolve,[$cnf( $equal(product(a17,a9),product(a17,a7)) )],[refute_0_744,refute_0_745]) ).

cnf(refute_0_747,plain,
    product(a17,a7) = a18,
    inference(resolve,[$cnf( $equal(product(a17,a9),a18) )],[knot_17,refute_0_746]) ).

cnf(refute_0_748,plain,
    product(a17,a7) = product(a17,a7),
    introduced(tautology,[refl,[$fot(product(a17,a7))]]) ).

cnf(refute_0_749,plain,
    ( a7 != a15
    | product(a17,a7) != product(a17,a7)
    | product(a17,a7) = product(a17,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a17,a7),product(a17,a7)) ),[1,1],$fot(a15)]]) ).

cnf(refute_0_750,plain,
    ( a7 != a15
    | product(a17,a7) = product(a17,a15) ),
    inference(resolve,[$cnf( $equal(product(a17,a7),product(a17,a7)) )],[refute_0_748,refute_0_749]) ).

cnf(refute_0_751,plain,
    product(a17,a7) = product(a17,a15),
    inference(resolve,[$cnf( $equal(a7,a15) )],[refute_0_687,refute_0_750]) ).

cnf(refute_0_752,plain,
    ( product(a17,a7) != a18
    | product(a17,a7) != product(a17,a15)
    | product(a17,a15) = a18 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a17,a7),a18) ),[0],$fot(product(a17,a15))]]) ).

cnf(refute_0_753,plain,
    ( product(a17,a7) != a18
    | product(a17,a15) = a18 ),
    inference(resolve,[$cnf( $equal(product(a17,a7),product(a17,a15)) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    product(a17,a15) = a18,
    inference(resolve,[$cnf( $equal(product(a17,a7),a18) )],[refute_0_747,refute_0_753]) ).

cnf(refute_0_755,plain,
    product(a17,a15) = product(a17,a15),
    introduced(tautology,[refl,[$fot(product(a17,a15))]]) ).

cnf(refute_0_756,plain,
    ( a17 != a15
    | product(a17,a15) != product(a17,a15)
    | product(a17,a15) = product(a15,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a17,a15),product(a17,a15)) ),[1,0],$fot(a15)]]) ).

cnf(refute_0_757,plain,
    ( a17 != a15
    | product(a17,a15) = product(a15,a15) ),
    inference(resolve,[$cnf( $equal(product(a17,a15),product(a17,a15)) )],[refute_0_755,refute_0_756]) ).

cnf(refute_0_758,plain,
    product(a17,a15) = product(a15,a15),
    inference(resolve,[$cnf( $equal(a17,a15) )],[refute_0_717,refute_0_757]) ).

cnf(refute_0_759,plain,
    ( product(a15,a15) != a15
    | product(a17,a15) != product(a15,a15)
    | product(a17,a15) = a15 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a17,a15))),bind(Y0,$fot(product(a15,a15))),bind(Z0,$fot(a15))]]) ).

cnf(refute_0_760,plain,
    ( product(a15,a15) != a15
    | product(a17,a15) = a15 ),
    inference(resolve,[$cnf( $equal(product(a17,a15),product(a15,a15)) )],[refute_0_758,refute_0_759]) ).

cnf(refute_0_761,plain,
    product(a17,a15) = a15,
    inference(resolve,[$cnf( $equal(product(a15,a15),a15) )],[refute_0_703,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( product(a17,a15) != a15
    | product(a17,a15) != a18
    | a15 = a18 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a17,a15),a18) ),[0],$fot(a15)]]) ).

cnf(refute_0_763,plain,
    ( product(a17,a15) != a18
    | a15 = a18 ),
    inference(resolve,[$cnf( $equal(product(a17,a15),a15) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    a15 = a18,
    inference(resolve,[$cnf( $equal(product(a17,a15),a18) )],[refute_0_754,refute_0_763]) ).

cnf(refute_0_765,plain,
    ( a15 != a18
    | a18 = a15 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a15)),bind(Y0,$fot(a18))]]) ).

cnf(refute_0_766,plain,
    a18 = a15,
    inference(resolve,[$cnf( $equal(a15,a18) )],[refute_0_764,refute_0_765]) ).

cnf(refute_0_767,plain,
    product(a18,a15) = product(a18,a15),
    introduced(tautology,[refl,[$fot(product(a18,a15))]]) ).

cnf(refute_0_768,plain,
    ( a18 != a15
    | product(a18,a15) != product(a18,a15)
    | product(a18,a15) = product(a15,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a18,a15),product(a18,a15)) ),[1,0],$fot(a15)]]) ).

cnf(refute_0_769,plain,
    ( a18 != a15
    | product(a18,a15) = product(a15,a15) ),
    inference(resolve,[$cnf( $equal(product(a18,a15),product(a18,a15)) )],[refute_0_767,refute_0_768]) ).

cnf(refute_0_770,plain,
    product(a18,a15) = product(a15,a15),
    inference(resolve,[$cnf( $equal(a18,a15) )],[refute_0_766,refute_0_769]) ).

cnf(refute_0_771,plain,
    ( product(a15,a15) != a15
    | product(a18,a15) != product(a15,a15)
    | product(a18,a15) = a15 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a18,a15))),bind(Y0,$fot(product(a15,a15))),bind(Z0,$fot(a15))]]) ).

cnf(refute_0_772,plain,
    ( product(a15,a15) != a15
    | product(a18,a15) = a15 ),
    inference(resolve,[$cnf( $equal(product(a18,a15),product(a15,a15)) )],[refute_0_770,refute_0_771]) ).

cnf(refute_0_773,plain,
    product(a18,a15) = a15,
    inference(resolve,[$cnf( $equal(product(a15,a15),a15) )],[refute_0_703,refute_0_772]) ).

cnf(refute_0_774,plain,
    ( product(a18,a15) != a15
    | product(a18,a15) != a19
    | a15 = a19 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a18,a15),a19) ),[0],$fot(a15)]]) ).

cnf(refute_0_775,plain,
    ( product(a18,a15) != a19
    | a15 = a19 ),
    inference(resolve,[$cnf( $equal(product(a18,a15),a15) )],[refute_0_773,refute_0_774]) ).

cnf(refute_0_776,plain,
    a15 = a19,
    inference(resolve,[$cnf( $equal(product(a18,a15),a19) )],[knot_18,refute_0_775]) ).

cnf(refute_0_777,plain,
    ( a15 != a19
    | a19 = a15 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a15)),bind(Y0,$fot(a19))]]) ).

cnf(refute_0_778,plain,
    a19 = a15,
    inference(resolve,[$cnf( $equal(a15,a19) )],[refute_0_776,refute_0_777]) ).

cnf(refute_0_779,plain,
    product(a19,a11) = product(a19,a11),
    introduced(tautology,[refl,[$fot(product(a19,a11))]]) ).

cnf(refute_0_780,plain,
    ( a19 != a15
    | product(a19,a11) != product(a19,a11)
    | product(a19,a11) = product(a15,a11) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a19,a11),product(a19,a11)) ),[1,0],$fot(a15)]]) ).

cnf(refute_0_781,plain,
    ( a19 != a15
    | product(a19,a11) = product(a15,a11) ),
    inference(resolve,[$cnf( $equal(product(a19,a11),product(a19,a11)) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    product(a19,a11) = product(a15,a11),
    inference(resolve,[$cnf( $equal(a19,a15) )],[refute_0_778,refute_0_781]) ).

cnf(refute_0_783,plain,
    ( product(a19,a11) != a1
    | product(a19,a11) != product(a15,a11)
    | product(a15,a11) = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a19,a11),a1) ),[0],$fot(product(a15,a11))]]) ).

cnf(refute_0_784,plain,
    ( product(a19,a11) != a1
    | product(a15,a11) = a1 ),
    inference(resolve,[$cnf( $equal(product(a19,a11),product(a15,a11)) )],[refute_0_782,refute_0_783]) ).

cnf(refute_0_785,plain,
    product(a15,a11) = a1,
    inference(resolve,[$cnf( $equal(product(a19,a11),a1) )],[refute_0_740,refute_0_784]) ).

cnf(refute_0_786,plain,
    ( a10 != a11
    | a11 = a10 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a10)),bind(Y0,$fot(a11))]]) ).

cnf(refute_0_787,plain,
    a11 = a10,
    inference(resolve,[$cnf( $equal(a10,a11) )],[refute_0_737,refute_0_786]) ).

cnf(refute_0_788,plain,
    product(a10,a11) = product(a10,a11),
    introduced(tautology,[refl,[$fot(product(a10,a11))]]) ).

cnf(refute_0_789,plain,
    ( a11 != a10
    | product(a10,a11) != product(a10,a11)
    | product(a10,a11) = product(a10,a10) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a10,a11),product(a10,a11)) ),[1,1],$fot(a10)]]) ).

cnf(refute_0_790,plain,
    ( a11 != a10
    | product(a10,a11) = product(a10,a10) ),
    inference(resolve,[$cnf( $equal(product(a10,a11),product(a10,a11)) )],[refute_0_788,refute_0_789]) ).

cnf(refute_0_791,plain,
    product(a10,a11) = product(a10,a10),
    inference(resolve,[$cnf( $equal(a11,a10) )],[refute_0_787,refute_0_790]) ).

cnf(refute_0_792,plain,
    product(a15,a11) = product(a15,a11),
    introduced(tautology,[refl,[$fot(product(a15,a11))]]) ).

cnf(refute_0_793,plain,
    ( a15 != a10
    | product(a15,a11) != product(a15,a11)
    | product(a15,a11) = product(a10,a11) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a11),product(a15,a11)) ),[1,0],$fot(a10)]]) ).

cnf(refute_0_794,plain,
    ( a15 != a10
    | product(a15,a11) = product(a10,a11) ),
    inference(resolve,[$cnf( $equal(product(a15,a11),product(a15,a11)) )],[refute_0_792,refute_0_793]) ).

cnf(refute_0_795,plain,
    product(a15,a11) = product(a10,a11),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_794]) ).

cnf(refute_0_796,plain,
    ( product(a10,a11) != product(a10,a10)
    | product(a15,a11) != product(a10,a11)
    | product(a15,a11) = product(a10,a10) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a15,a11))),bind(Y0,$fot(product(a10,a11))),bind(Z0,$fot(product(a10,a10)))]]) ).

cnf(refute_0_797,plain,
    ( product(a10,a11) != product(a10,a10)
    | product(a15,a11) = product(a10,a10) ),
    inference(resolve,[$cnf( $equal(product(a15,a11),product(a10,a11)) )],[refute_0_795,refute_0_796]) ).

cnf(refute_0_798,plain,
    product(a15,a11) = product(a10,a10),
    inference(resolve,[$cnf( $equal(product(a10,a11),product(a10,a10)) )],[refute_0_791,refute_0_797]) ).

cnf(refute_0_799,plain,
    ( product(a10,a10) != a10
    | product(a15,a11) != product(a10,a10)
    | product(a15,a11) = a10 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a15,a11))),bind(Y0,$fot(product(a10,a10))),bind(Z0,$fot(a10))]]) ).

cnf(refute_0_800,plain,
    ( product(a10,a10) != a10
    | product(a15,a11) = a10 ),
    inference(resolve,[$cnf( $equal(product(a15,a11),product(a10,a10)) )],[refute_0_798,refute_0_799]) ).

cnf(refute_0_801,plain,
    product(a15,a11) = a10,
    inference(resolve,[$cnf( $equal(product(a10,a10),a10) )],[refute_0_695,refute_0_800]) ).

cnf(refute_0_802,plain,
    ( product(a15,a11) != a1
    | product(a15,a11) != a10
    | a10 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a11),a1) ),[0],$fot(a10)]]) ).

cnf(refute_0_803,plain,
    ( product(a15,a11) != a1
    | a10 = a1 ),
    inference(resolve,[$cnf( $equal(product(a15,a11),a10) )],[refute_0_801,refute_0_802]) ).

cnf(refute_0_804,plain,
    a10 = a1,
    inference(resolve,[$cnf( $equal(product(a15,a11),a1) )],[refute_0_785,refute_0_803]) ).

cnf(refute_0_805,plain,
    ( a10 != a1
    | a10 != a11
    | a1 = a11 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a11) ),[0],$fot(a1)]]) ).

cnf(refute_0_806,plain,
    ( a10 != a11
    | a1 = a11 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_805]) ).

cnf(refute_0_807,plain,
    a1 = a11,
    inference(resolve,[$cnf( $equal(a10,a11) )],[refute_0_737,refute_0_806]) ).

cnf(refute_0_808,plain,
    ( a1 != a11
    | a11 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a11))]]) ).

cnf(refute_0_809,plain,
    a11 = a1,
    inference(resolve,[$cnf( $equal(a1,a11) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    ( a11 != a1
    | a13 != a11
    | a13 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(a13,a11) ),[1],$fot(a1)]]) ).

cnf(refute_0_811,plain,
    ( a13 != a11
    | a13 = a1 ),
    inference(resolve,[$cnf( $equal(a11,a1) )],[refute_0_809,refute_0_810]) ).

cnf(refute_0_812,plain,
    a13 = a1,
    inference(resolve,[$cnf( $equal(a13,a11) )],[refute_0_638,refute_0_811]) ).

cnf(refute_0_813,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_814,plain,
    ( a13 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27)) ),[1,24],$fot(a1)]]) ).

cnf(refute_0_815,plain,
    ( a13 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_813,refute_0_814]) ).

cnf(refute_0_816,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_812,refute_0_815]) ).

cnf(refute_0_817,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_818,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27)) )],[refute_0_816,refute_0_817]) ).

cnf(refute_0_819,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_588,refute_0_818]) ).

cnf(refute_0_820,plain,
    product(a11,a5) = product(a11,a5),
    introduced(tautology,[refl,[$fot(product(a11,a5))]]) ).

cnf(refute_0_821,plain,
    ( a5 != a19
    | product(a11,a5) != product(a11,a5)
    | product(a11,a5) = product(a11,a19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a11,a5),product(a11,a5)) ),[1,1],$fot(a19)]]) ).

cnf(refute_0_822,plain,
    ( a5 != a19
    | product(a11,a5) = product(a11,a19) ),
    inference(resolve,[$cnf( $equal(product(a11,a5),product(a11,a5)) )],[refute_0_820,refute_0_821]) ).

cnf(refute_0_823,plain,
    product(a11,a5) = product(a11,a19),
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_822]) ).

cnf(refute_0_824,plain,
    ( product(a11,a5) != a12
    | product(a11,a5) != product(a11,a19)
    | product(a11,a19) = a12 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a11,a5),a12) ),[0],$fot(product(a11,a19))]]) ).

cnf(refute_0_825,plain,
    ( product(a11,a5) != a12
    | product(a11,a19) = a12 ),
    inference(resolve,[$cnf( $equal(product(a11,a5),product(a11,a19)) )],[refute_0_823,refute_0_824]) ).

cnf(refute_0_826,plain,
    product(a11,a19) = a12,
    inference(resolve,[$cnf( $equal(product(a11,a5),a12) )],[knot_11,refute_0_825]) ).

cnf(refute_0_827,plain,
    product(a11,a7) = product(a11,a7),
    introduced(tautology,[refl,[$fot(product(a11,a7))]]) ).

cnf(refute_0_828,plain,
    ( a7 != a15
    | product(a11,a7) != product(a11,a7)
    | product(a11,a7) = product(a11,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a11,a7),product(a11,a7)) ),[1,1],$fot(a15)]]) ).

cnf(refute_0_829,plain,
    ( a7 != a15
    | product(a11,a7) = product(a11,a15) ),
    inference(resolve,[$cnf( $equal(product(a11,a7),product(a11,a7)) )],[refute_0_827,refute_0_828]) ).

cnf(refute_0_830,plain,
    product(a11,a7) = product(a11,a15),
    inference(resolve,[$cnf( $equal(a7,a15) )],[refute_0_687,refute_0_829]) ).

cnf(refute_0_831,plain,
    ( product(a11,a7) != a10
    | product(a11,a7) != product(a11,a15)
    | product(a11,a15) = a10 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a11,a7),a10) ),[0],$fot(product(a11,a15))]]) ).

cnf(refute_0_832,plain,
    ( product(a11,a7) != a10
    | product(a11,a15) = a10 ),
    inference(resolve,[$cnf( $equal(product(a11,a7),product(a11,a15)) )],[refute_0_830,refute_0_831]) ).

cnf(refute_0_833,plain,
    product(a11,a15) = a10,
    inference(resolve,[$cnf( $equal(product(a11,a7),a10) )],[refute_0_665,refute_0_832]) ).

cnf(refute_0_834,plain,
    product(a11,a19) = product(a11,a19),
    introduced(tautology,[refl,[$fot(product(a11,a19))]]) ).

cnf(refute_0_835,plain,
    ( a19 != a15
    | product(a11,a19) != product(a11,a19)
    | product(a11,a19) = product(a11,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a11,a19),product(a11,a19)) ),[1,1],$fot(a15)]]) ).

cnf(refute_0_836,plain,
    ( a19 != a15
    | product(a11,a19) = product(a11,a15) ),
    inference(resolve,[$cnf( $equal(product(a11,a19),product(a11,a19)) )],[refute_0_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    product(a11,a19) = product(a11,a15),
    inference(resolve,[$cnf( $equal(a19,a15) )],[refute_0_778,refute_0_836]) ).

cnf(refute_0_838,plain,
    ( product(a11,a15) != a10
    | product(a11,a19) != product(a11,a15)
    | product(a11,a19) = a10 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a11,a19))),bind(Y0,$fot(product(a11,a15))),bind(Z0,$fot(a10))]]) ).

cnf(refute_0_839,plain,
    ( product(a11,a15) != a10
    | product(a11,a19) = a10 ),
    inference(resolve,[$cnf( $equal(product(a11,a19),product(a11,a15)) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    product(a11,a19) = a10,
    inference(resolve,[$cnf( $equal(product(a11,a15),a10) )],[refute_0_833,refute_0_839]) ).

cnf(refute_0_841,plain,
    ( product(a11,a19) != a10
    | product(a11,a19) != a12
    | a10 = a12 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a11,a19),a12) ),[0],$fot(a10)]]) ).

cnf(refute_0_842,plain,
    ( product(a11,a19) != a12
    | a10 = a12 ),
    inference(resolve,[$cnf( $equal(product(a11,a19),a10) )],[refute_0_840,refute_0_841]) ).

cnf(refute_0_843,plain,
    a10 = a12,
    inference(resolve,[$cnf( $equal(product(a11,a19),a12) )],[refute_0_826,refute_0_842]) ).

cnf(refute_0_844,plain,
    ( a10 != a1
    | a10 != a12
    | a1 = a12 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a12) ),[0],$fot(a1)]]) ).

cnf(refute_0_845,plain,
    ( a10 != a12
    | a1 = a12 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_844]) ).

cnf(refute_0_846,plain,
    a1 = a12,
    inference(resolve,[$cnf( $equal(a10,a12) )],[refute_0_843,refute_0_845]) ).

cnf(refute_0_847,plain,
    ( a1 != a12
    | a12 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a12))]]) ).

cnf(refute_0_848,plain,
    a12 = a1,
    inference(resolve,[$cnf( $equal(a1,a12) )],[refute_0_846,refute_0_847]) ).

cnf(refute_0_849,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_850,plain,
    ( a12 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,23],$fot(a1)]]) ).

cnf(refute_0_851,plain,
    ( a12 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_849,refute_0_850]) ).

cnf(refute_0_852,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a12,a1) )],[refute_0_848,refute_0_851]) ).

cnf(refute_0_853,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_854,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_852,refute_0_853]) ).

cnf(refute_0_855,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_819,refute_0_854]) ).

cnf(refute_0_856,plain,
    ( a10 != a1
    | a15 != a10
    | a15 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a10) ),[1],$fot(a1)]]) ).

cnf(refute_0_857,plain,
    ( a15 != a10
    | a15 = a1 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_856]) ).

cnf(refute_0_858,plain,
    a15 = a1,
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_857]) ).

cnf(refute_0_859,plain,
    ( a15 != a1
    | a17 != a15
    | a17 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(a17,a15) ),[1],$fot(a1)]]) ).

cnf(refute_0_860,plain,
    ( a17 != a15
    | a17 = a1 ),
    inference(resolve,[$cnf( $equal(a15,a1) )],[refute_0_858,refute_0_859]) ).

cnf(refute_0_861,plain,
    a17 = a1,
    inference(resolve,[$cnf( $equal(a17,a15) )],[refute_0_717,refute_0_860]) ).

cnf(refute_0_862,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_863,plain,
    ( a17 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,22],$fot(a1)]]) ).

cnf(refute_0_864,plain,
    ( a17 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_862,refute_0_863]) ).

cnf(refute_0_865,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a17,a1) )],[refute_0_861,refute_0_864]) ).

cnf(refute_0_866,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_867,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_865,refute_0_866]) ).

cnf(refute_0_868,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_855,refute_0_867]) ).

cnf(refute_0_869,plain,
    product(a15,a5) = product(a15,a5),
    introduced(tautology,[refl,[$fot(product(a15,a5))]]) ).

cnf(refute_0_870,plain,
    ( a5 != a19
    | product(a15,a5) != product(a15,a5)
    | product(a15,a5) = product(a15,a19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a5),product(a15,a5)) ),[1,1],$fot(a19)]]) ).

cnf(refute_0_871,plain,
    ( a5 != a19
    | product(a15,a5) = product(a15,a19) ),
    inference(resolve,[$cnf( $equal(product(a15,a5),product(a15,a5)) )],[refute_0_869,refute_0_870]) ).

cnf(refute_0_872,plain,
    product(a15,a5) = product(a15,a19),
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_871]) ).

cnf(refute_0_873,plain,
    ( product(a15,a5) != a16
    | product(a15,a5) != product(a15,a19)
    | product(a15,a19) = a16 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a5),a16) ),[0],$fot(product(a15,a19))]]) ).

cnf(refute_0_874,plain,
    ( product(a15,a5) != a16
    | product(a15,a19) = a16 ),
    inference(resolve,[$cnf( $equal(product(a15,a5),product(a15,a19)) )],[refute_0_872,refute_0_873]) ).

cnf(refute_0_875,plain,
    product(a15,a19) = a16,
    inference(resolve,[$cnf( $equal(product(a15,a5),a16) )],[knot_15,refute_0_874]) ).

cnf(refute_0_876,plain,
    product(a15,a19) = product(a15,a19),
    introduced(tautology,[refl,[$fot(product(a15,a19))]]) ).

cnf(refute_0_877,plain,
    ( a19 != a15
    | product(a15,a19) != product(a15,a19)
    | product(a15,a19) = product(a15,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a19),product(a15,a19)) ),[1,1],$fot(a15)]]) ).

cnf(refute_0_878,plain,
    ( a19 != a15
    | product(a15,a19) = product(a15,a15) ),
    inference(resolve,[$cnf( $equal(product(a15,a19),product(a15,a19)) )],[refute_0_876,refute_0_877]) ).

cnf(refute_0_879,plain,
    product(a15,a19) = product(a15,a15),
    inference(resolve,[$cnf( $equal(a19,a15) )],[refute_0_778,refute_0_878]) ).

cnf(refute_0_880,plain,
    ( product(a15,a15) != a15
    | product(a15,a19) != product(a15,a15)
    | product(a15,a19) = a15 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a15,a19))),bind(Y0,$fot(product(a15,a15))),bind(Z0,$fot(a15))]]) ).

cnf(refute_0_881,plain,
    ( product(a15,a15) != a15
    | product(a15,a19) = a15 ),
    inference(resolve,[$cnf( $equal(product(a15,a19),product(a15,a15)) )],[refute_0_879,refute_0_880]) ).

cnf(refute_0_882,plain,
    product(a15,a19) = a15,
    inference(resolve,[$cnf( $equal(product(a15,a15),a15) )],[refute_0_703,refute_0_881]) ).

cnf(refute_0_883,plain,
    ( product(a15,a19) != a15
    | product(a15,a19) != a16
    | a15 = a16 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a15,a19),a16) ),[0],$fot(a15)]]) ).

cnf(refute_0_884,plain,
    ( product(a15,a19) != a16
    | a15 = a16 ),
    inference(resolve,[$cnf( $equal(product(a15,a19),a15) )],[refute_0_882,refute_0_883]) ).

cnf(refute_0_885,plain,
    a15 = a16,
    inference(resolve,[$cnf( $equal(product(a15,a19),a16) )],[refute_0_875,refute_0_884]) ).

cnf(refute_0_886,plain,
    ( a15 != a10
    | a15 != a16
    | a10 = a16 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a16) ),[0],$fot(a10)]]) ).

cnf(refute_0_887,plain,
    ( a15 != a16
    | a10 = a16 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_886]) ).

cnf(refute_0_888,plain,
    a10 = a16,
    inference(resolve,[$cnf( $equal(a15,a16) )],[refute_0_885,refute_0_887]) ).

cnf(refute_0_889,plain,
    ( a10 != a1
    | a10 != a16
    | a1 = a16 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a16) ),[0],$fot(a1)]]) ).

cnf(refute_0_890,plain,
    ( a10 != a16
    | a1 = a16 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_889]) ).

cnf(refute_0_891,plain,
    a1 = a16,
    inference(resolve,[$cnf( $equal(a10,a16) )],[refute_0_888,refute_0_890]) ).

cnf(refute_0_892,plain,
    ( a1 != a16
    | a16 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a16))]]) ).

cnf(refute_0_893,plain,
    a16 = a1,
    inference(resolve,[$cnf( $equal(a1,a16) )],[refute_0_891,refute_0_892]) ).

cnf(refute_0_894,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_895,plain,
    ( a16 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,21],$fot(a1)]]) ).

cnf(refute_0_896,plain,
    ( a16 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_894,refute_0_895]) ).

cnf(refute_0_897,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a16,a1) )],[refute_0_893,refute_0_896]) ).

cnf(refute_0_898,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_899,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_897,refute_0_898]) ).

cnf(refute_0_900,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_868,refute_0_899]) ).

cnf(refute_0_901,plain,
    ( a7 != a15
    | a7 != a9
    | a15 = a9 ),
    introduced(tautology,[equality,[$cnf( $equal(a7,a9) ),[0],$fot(a15)]]) ).

cnf(refute_0_902,plain,
    ( a7 != a9
    | a15 = a9 ),
    inference(resolve,[$cnf( $equal(a7,a15) )],[refute_0_687,refute_0_901]) ).

cnf(refute_0_903,plain,
    a15 = a9,
    inference(resolve,[$cnf( $equal(a7,a9) )],[refute_0_652,refute_0_902]) ).

cnf(refute_0_904,plain,
    ( a15 != a10
    | a15 != a9
    | a10 = a9 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a9) ),[0],$fot(a10)]]) ).

cnf(refute_0_905,plain,
    ( a15 != a9
    | a10 = a9 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_904]) ).

cnf(refute_0_906,plain,
    a10 = a9,
    inference(resolve,[$cnf( $equal(a15,a9) )],[refute_0_903,refute_0_905]) ).

cnf(refute_0_907,plain,
    ( a10 != a1
    | a10 != a9
    | a1 = a9 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a9) ),[0],$fot(a1)]]) ).

cnf(refute_0_908,plain,
    ( a10 != a9
    | a1 = a9 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_907]) ).

cnf(refute_0_909,plain,
    a1 = a9,
    inference(resolve,[$cnf( $equal(a10,a9) )],[refute_0_906,refute_0_908]) ).

cnf(refute_0_910,plain,
    ( a1 != a9
    | a9 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a9))]]) ).

cnf(refute_0_911,plain,
    a9 = a1,
    inference(resolve,[$cnf( $equal(a1,a9) )],[refute_0_909,refute_0_910]) ).

cnf(refute_0_912,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_913,plain,
    ( a9 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,20],$fot(a1)]]) ).

cnf(refute_0_914,plain,
    ( a9 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_912,refute_0_913]) ).

cnf(refute_0_915,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a9,a1) )],[refute_0_911,refute_0_914]) ).

cnf(refute_0_916,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_917,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_915,refute_0_916]) ).

cnf(refute_0_918,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_900,refute_0_917]) ).

cnf(refute_0_919,plain,
    product(a7,a19) = product(a7,a19),
    introduced(tautology,[refl,[$fot(product(a7,a19))]]) ).

cnf(refute_0_920,plain,
    ( a7 != a15
    | product(a7,a19) != product(a7,a19)
    | product(a7,a19) = product(a15,a19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a7,a19),product(a7,a19)) ),[1,0],$fot(a15)]]) ).

cnf(refute_0_921,plain,
    ( a7 != a15
    | product(a7,a19) = product(a15,a19) ),
    inference(resolve,[$cnf( $equal(product(a7,a19),product(a7,a19)) )],[refute_0_919,refute_0_920]) ).

cnf(refute_0_922,plain,
    product(a7,a19) = product(a15,a19),
    inference(resolve,[$cnf( $equal(a7,a15) )],[refute_0_687,refute_0_921]) ).

cnf(refute_0_923,plain,
    ( product(a15,a19) != a16
    | product(a7,a19) != product(a15,a19)
    | product(a7,a19) = a16 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a7,a19))),bind(Y0,$fot(product(a15,a19))),bind(Z0,$fot(a16))]]) ).

cnf(refute_0_924,plain,
    ( product(a15,a19) != a16
    | product(a7,a19) = a16 ),
    inference(resolve,[$cnf( $equal(product(a7,a19),product(a15,a19)) )],[refute_0_922,refute_0_923]) ).

cnf(refute_0_925,plain,
    product(a7,a19) = a16,
    inference(resolve,[$cnf( $equal(product(a15,a19),a16) )],[refute_0_875,refute_0_924]) ).

cnf(refute_0_926,plain,
    ( product(a7,a19) != a16
    | product(a7,a19) != a8
    | a16 = a8 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a7,a19),a8) ),[0],$fot(a16)]]) ).

cnf(refute_0_927,plain,
    ( product(a7,a19) != a8
    | a16 = a8 ),
    inference(resolve,[$cnf( $equal(product(a7,a19),a16) )],[refute_0_925,refute_0_926]) ).

cnf(refute_0_928,plain,
    a16 = a8,
    inference(resolve,[$cnf( $equal(product(a7,a19),a8) )],[knot_07,refute_0_927]) ).

cnf(refute_0_929,plain,
    ( a15 != a16
    | a16 = a15 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a15)),bind(Y0,$fot(a16))]]) ).

cnf(refute_0_930,plain,
    a16 = a15,
    inference(resolve,[$cnf( $equal(a15,a16) )],[refute_0_885,refute_0_929]) ).

cnf(refute_0_931,plain,
    ( a16 != a15
    | a16 != a8
    | a15 = a8 ),
    introduced(tautology,[equality,[$cnf( $equal(a16,a8) ),[0],$fot(a15)]]) ).

cnf(refute_0_932,plain,
    ( a16 != a8
    | a15 = a8 ),
    inference(resolve,[$cnf( $equal(a16,a15) )],[refute_0_930,refute_0_931]) ).

cnf(refute_0_933,plain,
    a15 = a8,
    inference(resolve,[$cnf( $equal(a16,a8) )],[refute_0_928,refute_0_932]) ).

cnf(refute_0_934,plain,
    ( a15 != a10
    | a15 != a8
    | a10 = a8 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a8) ),[0],$fot(a10)]]) ).

cnf(refute_0_935,plain,
    ( a15 != a8
    | a10 = a8 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_934]) ).

cnf(refute_0_936,plain,
    a10 = a8,
    inference(resolve,[$cnf( $equal(a15,a8) )],[refute_0_933,refute_0_935]) ).

cnf(refute_0_937,plain,
    ( a10 != a1
    | a10 != a8
    | a1 = a8 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a8) ),[0],$fot(a1)]]) ).

cnf(refute_0_938,plain,
    ( a10 != a8
    | a1 = a8 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_937]) ).

cnf(refute_0_939,plain,
    a1 = a8,
    inference(resolve,[$cnf( $equal(a10,a8) )],[refute_0_936,refute_0_938]) ).

cnf(refute_0_940,plain,
    ( a1 != a8
    | a8 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a8))]]) ).

cnf(refute_0_941,plain,
    a8 = a1,
    inference(resolve,[$cnf( $equal(a1,a8) )],[refute_0_939,refute_0_940]) ).

cnf(refute_0_942,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_943,plain,
    ( a8 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,19],$fot(a1)]]) ).

cnf(refute_0_944,plain,
    ( a8 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_942,refute_0_943]) ).

cnf(refute_0_945,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a8,a1) )],[refute_0_941,refute_0_944]) ).

cnf(refute_0_946,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_947,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_945,refute_0_946]) ).

cnf(refute_0_948,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_918,refute_0_947]) ).

cnf(refute_0_949,plain,
    ( a15 != a10
    | a15 != a19
    | a10 = a19 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a19) ),[0],$fot(a10)]]) ).

cnf(refute_0_950,plain,
    ( a15 != a19
    | a10 = a19 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_949]) ).

cnf(refute_0_951,plain,
    a10 = a19,
    inference(resolve,[$cnf( $equal(a15,a19) )],[refute_0_776,refute_0_950]) ).

cnf(refute_0_952,plain,
    ( a10 != a1
    | a10 != a19
    | a1 = a19 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a19) ),[0],$fot(a1)]]) ).

cnf(refute_0_953,plain,
    ( a10 != a19
    | a1 = a19 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_952]) ).

cnf(refute_0_954,plain,
    a1 = a19,
    inference(resolve,[$cnf( $equal(a10,a19) )],[refute_0_951,refute_0_953]) ).

cnf(refute_0_955,plain,
    ( a1 != a19
    | a19 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a19))]]) ).

cnf(refute_0_956,plain,
    a19 = a1,
    inference(resolve,[$cnf( $equal(a1,a19) )],[refute_0_954,refute_0_955]) ).

cnf(refute_0_957,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_958,plain,
    ( a19 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,18],$fot(a1)]]) ).

cnf(refute_0_959,plain,
    ( a19 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_957,refute_0_958]) ).

cnf(refute_0_960,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a19,a1) )],[refute_0_956,refute_0_959]) ).

cnf(refute_0_961,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_962,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_960,refute_0_961]) ).

cnf(refute_0_963,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_948,refute_0_962]) ).

cnf(refute_0_964,plain,
    ( a15 != a10
    | a15 != a18
    | a10 = a18 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a18) ),[0],$fot(a10)]]) ).

cnf(refute_0_965,plain,
    ( a15 != a18
    | a10 = a18 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_964]) ).

cnf(refute_0_966,plain,
    a10 = a18,
    inference(resolve,[$cnf( $equal(a15,a18) )],[refute_0_764,refute_0_965]) ).

cnf(refute_0_967,plain,
    ( a10 != a1
    | a10 != a18
    | a1 = a18 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a18) ),[0],$fot(a1)]]) ).

cnf(refute_0_968,plain,
    ( a10 != a18
    | a1 = a18 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_967]) ).

cnf(refute_0_969,plain,
    a1 = a18,
    inference(resolve,[$cnf( $equal(a10,a18) )],[refute_0_966,refute_0_968]) ).

cnf(refute_0_970,plain,
    ( a1 != a18
    | a18 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a18))]]) ).

cnf(refute_0_971,plain,
    a18 = a1,
    inference(resolve,[$cnf( $equal(a1,a18) )],[refute_0_969,refute_0_970]) ).

cnf(refute_0_972,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_973,plain,
    ( a18 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,17],$fot(a1)]]) ).

cnf(refute_0_974,plain,
    ( a18 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_972,refute_0_973]) ).

cnf(refute_0_975,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a18,a1) )],[refute_0_971,refute_0_974]) ).

cnf(refute_0_976,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_977,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_975,refute_0_976]) ).

cnf(refute_0_978,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_963,refute_0_977]) ).

cnf(refute_0_979,plain,
    ( a15 != a10
    | a7 != a15
    | a7 = a10 ),
    introduced(tautology,[equality,[$cnf( $equal(a7,a15) ),[1],$fot(a10)]]) ).

cnf(refute_0_980,plain,
    ( a7 != a15
    | a7 = a10 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_979]) ).

cnf(refute_0_981,plain,
    a7 = a10,
    inference(resolve,[$cnf( $equal(a7,a15) )],[refute_0_687,refute_0_980]) ).

cnf(refute_0_982,plain,
    ( a10 != a1
    | a7 != a10
    | a7 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(a7,a10) ),[1],$fot(a1)]]) ).

cnf(refute_0_983,plain,
    ( a7 != a10
    | a7 = a1 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_982]) ).

cnf(refute_0_984,plain,
    a7 = a1,
    inference(resolve,[$cnf( $equal(a7,a10) )],[refute_0_981,refute_0_983]) ).

cnf(refute_0_985,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_986,plain,
    ( a7 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,16],$fot(a1)]]) ).

cnf(refute_0_987,plain,
    ( a7 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_985,refute_0_986]) ).

cnf(refute_0_988,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a7,a1) )],[refute_0_984,refute_0_987]) ).

cnf(refute_0_989,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_990,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_978,refute_0_990]) ).

cnf(refute_0_992,plain,
    product(product(a18,a15),a15) = a18,
    inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a18)),bind(Y,$fot(a15))]]) ).

cnf(refute_0_993,plain,
    ( product(a18,a15) != a19
    | product(product(a18,a15),a15) != a18
    | product(a19,a15) = a18 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a18,a15),a15),a18) ),[0,0],$fot(a19)]]) ).

cnf(refute_0_994,plain,
    ( product(product(a18,a15),a15) != a18
    | product(a19,a15) = a18 ),
    inference(resolve,[$cnf( $equal(product(a18,a15),a19) )],[knot_18,refute_0_993]) ).

cnf(refute_0_995,plain,
    product(a19,a15) = a18,
    inference(resolve,[$cnf( $equal(product(product(a18,a15),a15),a18) )],[refute_0_992,refute_0_994]) ).

cnf(refute_0_996,plain,
    product(a5,a15) = product(a5,a15),
    introduced(tautology,[refl,[$fot(product(a5,a15))]]) ).

cnf(refute_0_997,plain,
    ( a5 != a19
    | product(a5,a15) != product(a5,a15)
    | product(a5,a15) = product(a19,a15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a5,a15),product(a5,a15)) ),[1,0],$fot(a19)]]) ).

cnf(refute_0_998,plain,
    ( a5 != a19
    | product(a5,a15) = product(a19,a15) ),
    inference(resolve,[$cnf( $equal(product(a5,a15),product(a5,a15)) )],[refute_0_996,refute_0_997]) ).

cnf(refute_0_999,plain,
    product(a5,a15) = product(a19,a15),
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_998]) ).

cnf(refute_0_1000,plain,
    ( product(a19,a15) != a18
    | product(a5,a15) != product(a19,a15)
    | product(a5,a15) = a18 ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(product(a5,a15))),bind(Y0,$fot(product(a19,a15))),bind(Z0,$fot(a18))]]) ).

cnf(refute_0_1001,plain,
    ( product(a19,a15) != a18
    | product(a5,a15) = a18 ),
    inference(resolve,[$cnf( $equal(product(a5,a15),product(a19,a15)) )],[refute_0_999,refute_0_1000]) ).

cnf(refute_0_1002,plain,
    product(a5,a15) = a18,
    inference(resolve,[$cnf( $equal(product(a19,a15),a18) )],[refute_0_995,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    ( product(a5,a15) != a18
    | product(a5,a15) != a6
    | a18 = a6 ),
    introduced(tautology,[equality,[$cnf( $equal(product(a5,a15),a6) ),[0],$fot(a18)]]) ).

cnf(refute_0_1004,plain,
    ( product(a5,a15) != a6
    | a18 = a6 ),
    inference(resolve,[$cnf( $equal(product(a5,a15),a18) )],[refute_0_1002,refute_0_1003]) ).

cnf(refute_0_1005,plain,
    a18 = a6,
    inference(resolve,[$cnf( $equal(product(a5,a15),a6) )],[knot_06,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    ( a18 != a15
    | a18 != a6
    | a15 = a6 ),
    introduced(tautology,[equality,[$cnf( $equal(a18,a6) ),[0],$fot(a15)]]) ).

cnf(refute_0_1007,plain,
    ( a18 != a6
    | a15 = a6 ),
    inference(resolve,[$cnf( $equal(a18,a15) )],[refute_0_766,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    a15 = a6,
    inference(resolve,[$cnf( $equal(a18,a6) )],[refute_0_1005,refute_0_1007]) ).

cnf(refute_0_1009,plain,
    ( a15 != a10
    | a15 != a6
    | a10 = a6 ),
    introduced(tautology,[equality,[$cnf( $equal(a15,a6) ),[0],$fot(a10)]]) ).

cnf(refute_0_1010,plain,
    ( a15 != a6
    | a10 = a6 ),
    inference(resolve,[$cnf( $equal(a15,a10) )],[refute_0_727,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    a10 = a6,
    inference(resolve,[$cnf( $equal(a15,a6) )],[refute_0_1008,refute_0_1010]) ).

cnf(refute_0_1012,plain,
    ( a10 != a1
    | a10 != a6
    | a1 = a6 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a6) ),[0],$fot(a1)]]) ).

cnf(refute_0_1013,plain,
    ( a10 != a6
    | a1 = a6 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    a1 = a6,
    inference(resolve,[$cnf( $equal(a10,a6) )],[refute_0_1011,refute_0_1013]) ).

cnf(refute_0_1015,plain,
    ( a1 != a6
    | a6 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a6))]]) ).

cnf(refute_0_1016,plain,
    a6 = a1,
    inference(resolve,[$cnf( $equal(a1,a6) )],[refute_0_1014,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1018,plain,
    ( a6 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,15],$fot(a1)]]) ).

cnf(refute_0_1019,plain,
    ( a6 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1017,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a6,a1) )],[refute_0_1016,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1022,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1020,refute_0_1021]) ).

cnf(refute_0_1023,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_991,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1025,plain,
    ( a15 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,14],$fot(a1)]]) ).

cnf(refute_0_1026,plain,
    ( a15 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1024,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a15,a1) )],[refute_0_858,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1029,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1027,refute_0_1028]) ).

cnf(refute_0_1030,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1023,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    ( a10 != a1
    | a10 != a14
    | a1 = a14 ),
    introduced(tautology,[equality,[$cnf( $equal(a10,a14) ),[0],$fot(a1)]]) ).

cnf(refute_0_1032,plain,
    ( a10 != a14
    | a1 = a14 ),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    a1 = a14,
    inference(resolve,[$cnf( $equal(a10,a14) )],[refute_0_675,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    ( a1 != a14
    | a14 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a14))]]) ).

cnf(refute_0_1035,plain,
    a14 = a1,
    inference(resolve,[$cnf( $equal(a1,a14) )],[refute_0_1033,refute_0_1034]) ).

cnf(refute_0_1036,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1037,plain,
    ( a14 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,13],$fot(a1)]]) ).

cnf(refute_0_1038,plain,
    ( a14 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1036,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a14,a1) )],[refute_0_1035,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1041,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1030,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    ( a19 != a1
    | a5 != a19
    | a5 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(a5,a19) ),[1],$fot(a1)]]) ).

cnf(refute_0_1044,plain,
    ( a5 != a19
    | a5 = a1 ),
    inference(resolve,[$cnf( $equal(a19,a1) )],[refute_0_956,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    a5 = a1,
    inference(resolve,[$cnf( $equal(a5,a19) )],[refute_0_628,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1047,plain,
    ( a5 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,12],$fot(a1)]]) ).

cnf(refute_0_1048,plain,
    ( a5 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1046,refute_0_1047]) ).

cnf(refute_0_1049,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a5,a1) )],[refute_0_1045,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1051,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1049,refute_0_1050]) ).

cnf(refute_0_1052,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1042,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1054,plain,
    ( a11 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,11],$fot(a1)]]) ).

cnf(refute_0_1055,plain,
    ( a11 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1053,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a11,a1) )],[refute_0_809,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1058,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1056,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1052,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1061,plain,
    ( a10 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,10],$fot(a1)]]) ).

cnf(refute_0_1062,plain,
    ( a10 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1060,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_1062]) ).

cnf(refute_0_1064,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1065,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1063,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1059,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1068,plain,
    ( a4 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,9],$fot(a1)]]) ).

cnf(refute_0_1069,plain,
    ( a4 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1067,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a4,a1) )],[refute_0_611,refute_0_1069]) ).

cnf(refute_0_1071,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1072,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1070,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1066,refute_0_1072]) ).

cnf(refute_0_1074,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1075,plain,
    ( a29 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,8],$fot(a1)]]) ).

cnf(refute_0_1076,plain,
    ( a29 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1074,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a29,a1) )],[refute_0_562,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1079,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1073,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1082,plain,
    ( a28 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,7],$fot(a1)]]) ).

cnf(refute_0_1083,plain,
    ( a28 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1081,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a28,a1) )],[refute_0_550,refute_0_1083]) ).

cnf(refute_0_1085,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1086,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1084,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1080,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1089,plain,
    ( a3 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,6],$fot(a1)]]) ).

cnf(refute_0_1090,plain,
    ( a3 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1088,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_1090]) ).

cnf(refute_0_1092,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1093,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1087,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1096,plain,
    ( a25 != a1
    | tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,5],$fot(a1)]]) ).

cnf(refute_0_1097,plain,
    ( a25 != a1
    | tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1095,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a25,a1) )],[refute_0_367,refute_0_1097]) ).

cnf(refute_0_1099,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1100,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1098,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1094,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    ( a21 != a2
    | a21 != a24
    | a2 = a24 ),
    introduced(tautology,[equality,[$cnf( $equal(a21,a24) ),[0],$fot(a2)]]) ).

cnf(refute_0_1103,plain,
    ( a21 != a24
    | a2 = a24 ),
    inference(resolve,[$cnf( $equal(a21,a2) )],[refute_0_408,refute_0_1102]) ).

cnf(refute_0_1104,plain,
    a2 = a24,
    inference(resolve,[$cnf( $equal(a21,a24) )],[refute_0_231,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    ( a2 != a1
    | a2 != a24
    | a1 = a24 ),
    introduced(tautology,[equality,[$cnf( $equal(a2,a24) ),[0],$fot(a1)]]) ).

cnf(refute_0_1106,plain,
    ( a2 != a24
    | a1 = a24 ),
    inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_444,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    a1 = a24,
    inference(resolve,[$cnf( $equal(a2,a24) )],[refute_0_1104,refute_0_1106]) ).

cnf(refute_0_1108,plain,
    ( a1 != a24
    | a24 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a24))]]) ).

cnf(refute_0_1109,plain,
    a24 = a1,
    inference(resolve,[$cnf( $equal(a1,a24) )],[refute_0_1107,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1111,plain,
    ( a24 != a1
    | tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,4],$fot(a1)]]) ).

cnf(refute_0_1112,plain,
    ( a24 != a1
    | tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1110,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a24,a1) )],[refute_0_1109,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    ( tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1115,plain,
    ( tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1101,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1118,plain,
    ( a2 != a1
    | tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,3],$fot(a1)]]) ).

cnf(refute_0_1119,plain,
    ( a2 != a1
    | tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1117,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_444,refute_0_1119]) ).

cnf(refute_0_1121,plain,
    ( tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1122,plain,
    ( tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1120,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1116,refute_0_1122]) ).

cnf(refute_0_1124,plain,
    ( a27 != a1
    | a27 != a31
    | a1 = a31 ),
    introduced(tautology,[equality,[$cnf( $equal(a27,a31) ),[0],$fot(a1)]]) ).

cnf(refute_0_1125,plain,
    ( a27 != a31
    | a1 = a31 ),
    inference(resolve,[$cnf( $equal(a27,a1) )],[refute_0_468,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    a1 = a31,
    inference(resolve,[$cnf( $equal(a27,a31) )],[refute_0_315,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    ( a1 != a31
    | a31 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a31))]]) ).

cnf(refute_0_1128,plain,
    a31 = a1,
    inference(resolve,[$cnf( $equal(a1,a31) )],[refute_0_1126,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1130,plain,
    ( a31 != a1
    | tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,2],$fot(a1)]]) ).

cnf(refute_0_1131,plain,
    ( a31 != a1
    | tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1129,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a31,a1) )],[refute_0_1128,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    ( tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1134,plain,
    ( tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1132,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1123,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    ( a28 != a1
    | a30 != a28
    | a30 = a1 ),
    introduced(tautology,[equality,[$cnf( $equal(a30,a28) ),[1],$fot(a1)]]) ).

cnf(refute_0_1137,plain,
    ( a30 != a28
    | a30 = a1 ),
    inference(resolve,[$cnf( $equal(a28,a1) )],[refute_0_550,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    a30 = a1,
    inference(resolve,[$cnf( $equal(a30,a28) )],[refute_0_305,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    introduced(tautology,[refl,[$fot(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))]]) ).

cnf(refute_0_1140,plain,
    ( a30 != a1
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_1141,plain,
    ( a30 != a1
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1139,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
    inference(resolve,[$cnf( $equal(a30,a1) )],[refute_0_1138,refute_0_1141]) ).

cnf(refute_0_1143,plain,
    ( tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Y0,$fot(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1144,plain,
    ( tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27)) )],[refute_0_1142,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1135,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) ),[1],$fot(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1147,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1145,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28))]]) ).

cnf(refute_0_1149,plain,
    ( a28 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28)) ),[1,30],$fot(a1)]]) ).

cnf(refute_0_1150,plain,
    ( a28 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28)) )],[refute_0_1148,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(a28,a1) )],[refute_0_550,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28))]]) ).

cnf(refute_0_1153,plain,
    ( a27 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28)) ),[1,29],$fot(a1)]]) ).

cnf(refute_0_1154,plain,
    ( a27 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28)) )],[refute_0_1152,refute_0_1153]) ).

cnf(refute_0_1155,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28),
    inference(resolve,[$cnf( $equal(a27,a1) )],[refute_0_468,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1157,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28)) )],[refute_0_1155,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1151,refute_0_1157]) ).

cnf(refute_0_1159,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28))]]) ).

cnf(refute_0_1160,plain,
    ( a24 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28)) ),[1,28],$fot(a1)]]) ).

cnf(refute_0_1161,plain,
    ( a24 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28)) )],[refute_0_1159,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28),
    inference(resolve,[$cnf( $equal(a24,a1) )],[refute_0_1109,refute_0_1161]) ).

cnf(refute_0_1163,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1164,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28)) )],[refute_0_1162,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1158,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28))]]) ).

cnf(refute_0_1167,plain,
    ( a23 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28)) ),[1,27],$fot(a1)]]) ).

cnf(refute_0_1168,plain,
    ( a23 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28)) )],[refute_0_1166,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a23,a1) )],[refute_0_489,refute_0_1168]) ).

cnf(refute_0_1170,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1171,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28)) )],[refute_0_1169,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1165,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1174,plain,
    ( a22 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28)) ),[1,26],$fot(a1)]]) ).

cnf(refute_0_1175,plain,
    ( a22 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28)) )],[refute_0_1173,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a22,a1) )],[refute_0_396,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1178,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28)) )],[refute_0_1176,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1172,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1181,plain,
    ( a21 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28)) ),[1,25],$fot(a1)]]) ).

cnf(refute_0_1182,plain,
    ( a21 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28)) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a21,a1) )],[refute_0_484,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1185,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28)) )],[refute_0_1183,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1179,refute_0_1185]) ).

cnf(refute_0_1187,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1188,plain,
    ( a14 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28)) ),[1,24],$fot(a1)]]) ).

cnf(refute_0_1189,plain,
    ( a14 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1187,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a14,a1) )],[refute_0_1035,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1192,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28)) )],[refute_0_1190,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1186,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1195,plain,
    ( a13 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,23],$fot(a1)]]) ).

cnf(refute_0_1196,plain,
    ( a13 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1194,refute_0_1195]) ).

cnf(refute_0_1197,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_812,refute_0_1196]) ).

cnf(refute_0_1198,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1199,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1197,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1193,refute_0_1199]) ).

cnf(refute_0_1201,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1202,plain,
    ( a18 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,22],$fot(a1)]]) ).

cnf(refute_0_1203,plain,
    ( a18 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1201,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a18,a1) )],[refute_0_971,refute_0_1203]) ).

cnf(refute_0_1205,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1206,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1204,refute_0_1205]) ).

cnf(refute_0_1207,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1200,refute_0_1206]) ).

cnf(refute_0_1208,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1209,plain,
    ( a17 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,21],$fot(a1)]]) ).

cnf(refute_0_1210,plain,
    ( a17 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1208,refute_0_1209]) ).

cnf(refute_0_1211,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a17,a1) )],[refute_0_861,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1213,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1211,refute_0_1212]) ).

cnf(refute_0_1214,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1207,refute_0_1213]) ).

cnf(refute_0_1215,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1216,plain,
    ( a10 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,20],$fot(a1)]]) ).

cnf(refute_0_1217,plain,
    ( a10 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1215,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_804,refute_0_1217]) ).

cnf(refute_0_1219,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1220,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1218,refute_0_1219]) ).

cnf(refute_0_1221,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1214,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1223,plain,
    ( a9 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,19],$fot(a1)]]) ).

cnf(refute_0_1224,plain,
    ( a9 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1222,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a9,a1) )],[refute_0_911,refute_0_1224]) ).

cnf(refute_0_1226,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1227,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1225,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1221,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1230,plain,
    ( a20 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,18],$fot(a1)]]) ).

cnf(refute_0_1231,plain,
    ( a20 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1229,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a20,a1) )],[refute_0_581,refute_0_1231]) ).

cnf(refute_0_1233,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1234,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1232,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1228,refute_0_1234]) ).

cnf(refute_0_1236,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1237,plain,
    ( a19 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,17],$fot(a1)]]) ).

cnf(refute_0_1238,plain,
    ( a19 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1236,refute_0_1237]) ).

cnf(refute_0_1239,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a19,a1) )],[refute_0_956,refute_0_1238]) ).

cnf(refute_0_1240,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1241,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1239,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1235,refute_0_1241]) ).

cnf(refute_0_1243,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1244,plain,
    ( a8 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,16],$fot(a1)]]) ).

cnf(refute_0_1245,plain,
    ( a8 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1243,refute_0_1244]) ).

cnf(refute_0_1246,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a8,a1) )],[refute_0_941,refute_0_1245]) ).

cnf(refute_0_1247,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1248,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1246,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1242,refute_0_1248]) ).

cnf(refute_0_1250,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1251,plain,
    ( a7 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,15],$fot(a1)]]) ).

cnf(refute_0_1252,plain,
    ( a7 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1250,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a7,a1) )],[refute_0_984,refute_0_1252]) ).

cnf(refute_0_1254,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1255,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1253,refute_0_1254]) ).

cnf(refute_0_1256,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1249,refute_0_1255]) ).

cnf(refute_0_1257,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1258,plain,
    ( a16 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,14],$fot(a1)]]) ).

cnf(refute_0_1259,plain,
    ( a16 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1257,refute_0_1258]) ).

cnf(refute_0_1260,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a16,a1) )],[refute_0_893,refute_0_1259]) ).

cnf(refute_0_1261,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1262,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1260,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1256,refute_0_1262]) ).

cnf(refute_0_1264,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1265,plain,
    ( a15 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,13],$fot(a1)]]) ).

cnf(refute_0_1266,plain,
    ( a15 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1264,refute_0_1265]) ).

cnf(refute_0_1267,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a15,a1) )],[refute_0_858,refute_0_1266]) ).

cnf(refute_0_1268,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1269,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1267,refute_0_1268]) ).

cnf(refute_0_1270,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1263,refute_0_1269]) ).

cnf(refute_0_1271,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1272,plain,
    ( a6 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,12],$fot(a1)]]) ).

cnf(refute_0_1273,plain,
    ( a6 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1271,refute_0_1272]) ).

cnf(refute_0_1274,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a6,a1) )],[refute_0_1016,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1276,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1274,refute_0_1275]) ).

cnf(refute_0_1277,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1270,refute_0_1276]) ).

cnf(refute_0_1278,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1279,plain,
    ( a12 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,11],$fot(a1)]]) ).

cnf(refute_0_1280,plain,
    ( a12 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1278,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a12,a1) )],[refute_0_848,refute_0_1280]) ).

cnf(refute_0_1282,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1283,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1281,refute_0_1282]) ).

cnf(refute_0_1284,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1277,refute_0_1283]) ).

cnf(refute_0_1285,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1286,plain,
    ( a11 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,10],$fot(a1)]]) ).

cnf(refute_0_1287,plain,
    ( a11 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1285,refute_0_1286]) ).

cnf(refute_0_1288,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a11,a1) )],[refute_0_809,refute_0_1287]) ).

cnf(refute_0_1289,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1290,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1288,refute_0_1289]) ).

cnf(refute_0_1291,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1284,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1293,plain,
    ( a5 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,9],$fot(a1)]]) ).

cnf(refute_0_1294,plain,
    ( a5 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1292,refute_0_1293]) ).

cnf(refute_0_1295,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a5,a1) )],[refute_0_1045,refute_0_1294]) ).

cnf(refute_0_1296,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1297,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1295,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1291,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1300,plain,
    ( a30 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,8],$fot(a1)]]) ).

cnf(refute_0_1301,plain,
    ( a30 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1299,refute_0_1300]) ).

cnf(refute_0_1302,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a30,a1) )],[refute_0_1138,refute_0_1301]) ).

cnf(refute_0_1303,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1304,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1302,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1298,refute_0_1304]) ).

cnf(refute_0_1306,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1307,plain,
    ( a29 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,7],$fot(a1)]]) ).

cnf(refute_0_1308,plain,
    ( a29 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1306,refute_0_1307]) ).

cnf(refute_0_1309,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a29,a1) )],[refute_0_562,refute_0_1308]) ).

cnf(refute_0_1310,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1311,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1309,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1305,refute_0_1311]) ).

cnf(refute_0_1313,plain,
    tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1314,plain,
    ( a4 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,6],$fot(a1)]]) ).

cnf(refute_0_1315,plain,
    ( a4 != a1
    | tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1313,refute_0_1314]) ).

cnf(refute_0_1316,plain,
    tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a4,a1) )],[refute_0_611,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1318,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1316,refute_0_1317]) ).

cnf(refute_0_1319,plain,
    tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1312,refute_0_1318]) ).

cnf(refute_0_1320,plain,
    tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1321,plain,
    ( a26 != a1
    | tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,5],$fot(a1)]]) ).

cnf(refute_0_1322,plain,
    ( a26 != a1
    | tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1320,refute_0_1321]) ).

cnf(refute_0_1323,plain,
    tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a26,a1) )],[refute_0_456,refute_0_1322]) ).

cnf(refute_0_1324,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1325,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1323,refute_0_1324]) ).

cnf(refute_0_1326,plain,
    tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1319,refute_0_1325]) ).

cnf(refute_0_1327,plain,
    tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1328,plain,
    ( a25 != a1
    | tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,4],$fot(a1)]]) ).

cnf(refute_0_1329,plain,
    ( a25 != a1
    | tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1327,refute_0_1328]) ).

cnf(refute_0_1330,plain,
    tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a25,a1) )],[refute_0_367,refute_0_1329]) ).

cnf(refute_0_1331,plain,
    ( tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1332,plain,
    ( tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1330,refute_0_1331]) ).

cnf(refute_0_1333,plain,
    tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1326,refute_0_1332]) ).

cnf(refute_0_1334,plain,
    tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1335,plain,
    ( a3 != a1
    | tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,3],$fot(a1)]]) ).

cnf(refute_0_1336,plain,
    ( a3 != a1
    | tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1334,refute_0_1335]) ).

cnf(refute_0_1337,plain,
    tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_295,refute_0_1336]) ).

cnf(refute_0_1338,plain,
    ( tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1339,plain,
    ( tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1337,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1333,refute_0_1339]) ).

cnf(refute_0_1341,plain,
    ( a26 != a1
    | a26 != a32
    | a1 = a32 ),
    introduced(tautology,[equality,[$cnf( $equal(a26,a32) ),[0],$fot(a1)]]) ).

cnf(refute_0_1342,plain,
    ( a26 != a32
    | a1 = a32 ),
    inference(resolve,[$cnf( $equal(a26,a1) )],[refute_0_456,refute_0_1341]) ).

cnf(refute_0_1343,plain,
    a1 = a32,
    inference(resolve,[$cnf( $equal(a26,a32) )],[refute_0_355,refute_0_1342]) ).

cnf(refute_0_1344,plain,
    ( a1 != a32
    | a32 = a1 ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(a1)),bind(Y0,$fot(a32))]]) ).

cnf(refute_0_1345,plain,
    a32 = a1,
    inference(resolve,[$cnf( $equal(a1,a32) )],[refute_0_1343,refute_0_1344]) ).

cnf(refute_0_1346,plain,
    tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1347,plain,
    ( a32 != a1
    | tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,2],$fot(a1)]]) ).

cnf(refute_0_1348,plain,
    ( a32 != a1
    | tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1346,refute_0_1347]) ).

cnf(refute_0_1349,plain,
    tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a32,a1) )],[refute_0_1345,refute_0_1348]) ).

cnf(refute_0_1350,plain,
    ( tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1351,plain,
    ( tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1349,refute_0_1350]) ).

cnf(refute_0_1352,plain,
    tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1340,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1354,plain,
    ( a31 != a1
    | tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,1],$fot(a1)]]) ).

cnf(refute_0_1355,plain,
    ( a31 != a1
    | tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1353,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a31,a1) )],[refute_0_1128,refute_0_1355]) ).

cnf(refute_0_1357,plain,
    ( tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1358,plain,
    ( tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1356,refute_0_1357]) ).

cnf(refute_0_1359,plain,
    tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1352,refute_0_1358]) ).

cnf(refute_0_1360,plain,
    tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    introduced(tautology,[refl,[$fot(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))]]) ).

cnf(refute_0_1361,plain,
    ( a2 != a1
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1,0],$fot(a1)]]) ).

cnf(refute_0_1362,plain,
    ( a2 != a1
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1360,refute_0_1361]) ).

cnf(refute_0_1363,plain,
    tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
    inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_444,refute_0_1362]) ).

cnf(refute_0_1364,plain,
    ( tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(subst,[],[refute_0_104:[bind(X0,$fot(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Y0,$fot(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).

cnf(refute_0_1365,plain,
    ( tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
    inference(resolve,[$cnf( $equal(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1363,refute_0_1364]) ).

cnf(refute_0_1366,plain,
    tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1359,refute_0_1365]) ).

cnf(refute_0_1367,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) ),[1],$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1))]]) ).

cnf(refute_0_1368,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1366,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    ( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
    | tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) ),
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1368,refute_0_1147]) ).

cnf(refute_0_1370,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    inference(resolve,[$cnf( $equal(tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28)) )],[refute_0_1369,goal]) ).

cnf(refute_0_1371,plain,
    tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
    introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1))]]) ).

cnf(refute_0_1372,plain,
    $false,
    inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1371,refute_0_1370]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : TOP050-1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.10  % Command  : metis --show proof --show saturation %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Sun May 29 03:40:41 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.37/1.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.37/1.57  
% 1.37/1.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.53/1.71  
%------------------------------------------------------------------------------