TPTP Problem File: PUZ056-10.030.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : PUZ056-10.030 : TPTP v8.2.0. Released v7.3.0.
% Domain   : Puzzles
% Problem  : Towers of Hanoi k=30
% Version  : Especial.
% English  :

% Refs     : [CS18]  Claessen & Smallbone (2018), Efficient Encodings of Fi
%          : [Sma18] Smallbone (2018), Email to Geoff Sutcliffe
% Source   : [Sma18]
% Names    :

% Status   : Unsatisfiable
% Rating   : 1.00 v7.3.0
% Syntax   : Number of clauses     :   44 (  44 unt;   0 nHn;  12 RR)
%            Number of literals    :   44 (  44 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   61 (   4 avg)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-30 aty)
%            Number of variables   :  936 (   4 sgn)
% SPC      : CNF_UNS_RFO_PEQ_UEQ

% Comments : Converted from PUZ056-2.030 to UEQ using [CS18].
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq2(A,A,B,C) = B ).

cnf(ifeq_axiom_001,axiom,
    ifeq(A,A,B,C) = B ).

cnf(rule1,axiom,
    ifeq2(p(I,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(J,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true) = true ).

cnf(rule2,axiom,
    ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,I,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,J,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true) = true ).

cnf(rule3,axiom,
    ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,I,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,J,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true) = true ).

cnf(rule4,axiom,
    ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,I,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,J,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true) = true ).

cnf(rule5,axiom,
    ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,I,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,J,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule6,axiom,
    ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,I,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,J,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule7,axiom,
    ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,I,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,J,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule8,axiom,
    ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,I,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,J,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule9,axiom,
    ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,I,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,J,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule10,axiom,
    ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,I,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,J,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule11,axiom,
    ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,I,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,J,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule12,axiom,
    ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,I,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,J,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule13,axiom,
    ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,I,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,J,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule14,axiom,
    ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,I,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,J,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule15,axiom,
    ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,I,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,J,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule16,axiom,
    ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,I,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,J,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule17,axiom,
    ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,I,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,J,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule18,axiom,
    ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,I,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,J,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule19,axiom,
    ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,I,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,J,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule20,axiom,
    ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,I,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,J,T20,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule21,axiom,
    ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,I,T21,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,J,T21,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule22,axiom,
    ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,I,T22,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,J,T22,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule23,axiom,
    ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,I,T23,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,J,T23,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule24,axiom,
    ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,I,T24,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,J,T24,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule25,axiom,
    ifeq2(neq(T23,J),true,ifeq2(neq(T23,I),true,ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,I,T25,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,J,T25,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule26,axiom,
    ifeq2(neq(T24,J),true,ifeq2(neq(T24,I),true,ifeq2(neq(T23,J),true,ifeq2(neq(T23,I),true,ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,I,T26,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,J,T26,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule27,axiom,
    ifeq2(neq(T25,J),true,ifeq2(neq(T25,I),true,ifeq2(neq(T24,J),true,ifeq2(neq(T24,I),true,ifeq2(neq(T23,J),true,ifeq2(neq(T23,I),true,ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,I,T27,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,J,T27,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule28,axiom,
    ifeq2(neq(T26,J),true,ifeq2(neq(T26,I),true,ifeq2(neq(T25,J),true,ifeq2(neq(T25,I),true,ifeq2(neq(T24,J),true,ifeq2(neq(T24,I),true,ifeq2(neq(T23,J),true,ifeq2(neq(T23,I),true,ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,I,T28,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,J,T28,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule29,axiom,
    ifeq2(neq(T27,J),true,ifeq2(neq(T27,I),true,ifeq2(neq(T26,J),true,ifeq2(neq(T26,I),true,ifeq2(neq(T25,J),true,ifeq2(neq(T25,I),true,ifeq2(neq(T24,J),true,ifeq2(neq(T24,I),true,ifeq2(neq(T23,J),true,ifeq2(neq(T23,I),true,ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,I,T29),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,J,T29),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(rule30,axiom,
    ifeq2(neq(T28,J),true,ifeq2(neq(T28,I),true,ifeq2(neq(T27,J),true,ifeq2(neq(T27,I),true,ifeq2(neq(T26,J),true,ifeq2(neq(T26,I),true,ifeq2(neq(T25,J),true,ifeq2(neq(T25,I),true,ifeq2(neq(T24,J),true,ifeq2(neq(T24,I),true,ifeq2(neq(T23,J),true,ifeq2(neq(T23,I),true,ifeq2(neq(T22,J),true,ifeq2(neq(T22,I),true,ifeq2(neq(T21,J),true,ifeq2(neq(T21,I),true,ifeq2(neq(T20,J),true,ifeq2(neq(T20,I),true,ifeq2(neq(T19,J),true,ifeq2(neq(T19,I),true,ifeq2(neq(T18,J),true,ifeq2(neq(T18,I),true,ifeq2(neq(T17,J),true,ifeq2(neq(T17,I),true,ifeq2(neq(T16,J),true,ifeq2(neq(T16,I),true,ifeq2(neq(T15,J),true,ifeq2(neq(T15,I),true,ifeq2(neq(T14,J),true,ifeq2(neq(T14,I),true,ifeq2(neq(T13,J),true,ifeq2(neq(T13,I),true,ifeq2(neq(T12,J),true,ifeq2(neq(T12,I),true,ifeq2(neq(T11,J),true,ifeq2(neq(T11,I),true,ifeq2(neq(T10,J),true,ifeq2(neq(T10,I),true,ifeq2(neq(T9,J),true,ifeq2(neq(T9,I),true,ifeq2(neq(T8,J),true,ifeq2(neq(T8,I),true,ifeq2(neq(T7,J),true,ifeq2(neq(T7,I),true,ifeq2(neq(T6,J),true,ifeq2(neq(T6,I),true,ifeq2(neq(T5,J),true,ifeq2(neq(T5,I),true,ifeq2(neq(T4,J),true,ifeq2(neq(T4,I),true,ifeq2(neq(T3,J),true,ifeq2(neq(T3,I),true,ifeq2(neq(T2,J),true,ifeq2(neq(T2,I),true,ifeq2(neq(T1,J),true,ifeq2(neq(T1,I),true,ifeq2(neq(T0,J),true,ifeq2(neq(T0,I),true,ifeq2(p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,I),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19,T20,T21,T22,T23,T24,T25,T26,T27,T28,J),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true),true) = true ).

cnf(neq2,axiom,
    neq(s0,s1) = true ).

cnf(neq3,axiom,
    neq(s0,s2) = true ).

cnf(neq4,axiom,
    neq(s1,s0) = true ).

cnf(neq6,axiom,
    neq(s1,s2) = true ).

cnf(neq7,axiom,
    neq(s2,s0) = true ).

cnf(neq8,axiom,
    neq(s2,s1) = true ).

cnf(init,axiom,
    p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) = true ).

cnf(neq1,axiom,
    ifeq(neq(s0,s0),true,a,b) = b ).

cnf(neq5,axiom,
    ifeq(neq(s1,s1),true,a,b) = b ).

cnf(neq9,axiom,
    ifeq(neq(s2,s2),true,a,b) = b ).

cnf(goal,negated_conjecture,
    ifeq(p(s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2,s2),true,a,b) = b ).

cnf(goal_002,negated_conjecture,
    a != b ).

%------------------------------------------------------------------------------