%------------------------------------------------------------------------------
% File     : SYO621-1 : TPTP v8.2.0. Released v7.1.0.
% Domain   : Syntactic
% Problem  : C(4,5)
% Version  : Especial.
% English  :

% Refs     : [Cer15] Cerna (2015), Advances in Schematic Cut Elimination
%          : [EH+16] Ebner et al. (2016), System Description: GAPT 2.0
%          : [Cer17] Cerna (2017), Email to Geoff Sutcliffe
% Source   : [Cer17]
% Names    : C(4,5) [Cer17]

% Status   : Unsatisfiable
% Rating   : 1.00 v7.1.0
% Syntax   : Number of clauses     :    8 (   1 unt;   1 nHn;   6 RR)
%            Number of literals    :   61 (   0 equ;  54 neg)
%            Maximal clause size   :   13 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   2 sgn)
% SPC      : CNF_UNS_RFO_NEQ_NHN

% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
    le(A,A) ).

cnf(sos_02,axiom,
    ( ~ le(max(A,B),C)
    | le(A,C) ) ).

cnf(sos_03,axiom,
    ( ~ le(max(A,B),C)
    | le(B,C) ) ).

cnf(sos_04,axiom,
    ( eq(f(A),a0)
    | eq(f(A),a1)
    | eq(f(A),a2)
    | eq(f(A),a3) ) ).

cnf(sos_05,axiom,
    ( ~ eq(f(A0),a0)
    | ~ eq(f(A1),a0)
    | ~ eq(f(A2),a0)
    | ~ eq(f(A3),a0)
    | ~ eq(f(A4),a0)
    | ~ eq(f(A5),a0)
    | ~ eq(f(A6),a0)
    | ~ le(s(A0),A1)
    | ~ le(s(A1),A2)
    | ~ le(s(A2),A3)
    | ~ le(s(A3),A4)
    | ~ le(s(A4),A5)
    | ~ le(s(A5),A6) ) ).

cnf(sos_06,axiom,
    ( ~ eq(f(A0),a1)
    | ~ eq(f(A1),a1)
    | ~ eq(f(A2),a1)
    | ~ eq(f(A3),a1)
    | ~ eq(f(A4),a1)
    | ~ eq(f(A5),a1)
    | ~ eq(f(A6),a1)
    | ~ le(s(A0),A1)
    | ~ le(s(A1),A2)
    | ~ le(s(A2),A3)
    | ~ le(s(A3),A4)
    | ~ le(s(A4),A5)
    | ~ le(s(A5),A6) ) ).

cnf(sos_07,axiom,
    ( ~ eq(f(A0),a2)
    | ~ eq(f(A1),a2)
    | ~ eq(f(A2),a2)
    | ~ eq(f(A3),a2)
    | ~ eq(f(A4),a2)
    | ~ eq(f(A5),a2)
    | ~ eq(f(A6),a2)
    | ~ le(s(A0),A1)
    | ~ le(s(A1),A2)
    | ~ le(s(A2),A3)
    | ~ le(s(A3),A4)
    | ~ le(s(A4),A5)
    | ~ le(s(A5),A6) ) ).

cnf(sos_08,axiom,
    ( ~ eq(f(A0),a3)
    | ~ eq(f(A1),a3)
    | ~ eq(f(A2),a3)
    | ~ eq(f(A3),a3)
    | ~ eq(f(A4),a3)
    | ~ eq(f(A5),a3)
    | ~ eq(f(A6),a3)
    | ~ le(s(A0),A1)
    | ~ le(s(A1),A2)
    | ~ le(s(A2),A3)
    | ~ le(s(A3),A4)
    | ~ le(s(A4),A5)
    | ~ le(s(A5),A6) ) ).

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