TPTP Problem File: PUZ056-10.020.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : PUZ056-10.020 : TPTP v9.0.0. Released v7.3.0.
% Domain : Puzzles
% Problem : Towers of Hanoi k=20
% 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 : 34 ( 34 unt; 0 nHn; 12 RR)
% Number of literals : 34 ( 34 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 41 ( 3 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-20 aty)
% Number of variables : 426 ( 4 sgn)
% SPC : CNF_UNS_RFO_PEQ_UEQ
% Comments : Converted from PUZ056-2.020 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),true,p(J,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,J,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,J,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,J,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,J,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,J,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,J,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,T6,J,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,J,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,J,T10,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,J,T11,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,J,T12,T13,T14,T15,T16,T17,T18,T19),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,J,T13,T14,T15,T16,T17,T18,T19),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,J,T14,T15,T16,T17,T18,T19),true),true),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,J,T15,T16,T17,T18,T19),true),true),true),true),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,J,T16,T17,T18,T19),true),true),true),true),true),true),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,J,T17,T18,T19),true),true),true),true),true),true),true),true),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,J,T18,T19),true),true),true),true),true),true),true),true),true),true),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,J,T19),true),true),true),true),true),true),true),true),true),true),true),true),true),true),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),true,p(T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12,T13,T14,T15,T16,T17,T18,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 ).
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) = 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),true,a,b) = b ).
cnf(goal_002,negated_conjecture,
a != b ).
%------------------------------------------------------------------------------