%------------------------------------------------------------------------------
% File     : SYO612-1 : TPTP v9.0.0. Released v7.1.0.
% Domain   : Syntactic
% Problem  : C(1,5)
% 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(1,5) [Cer17]

% Status   : Unsatisfiable
% Rating   : 0.07 v9.0.0, 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v7.1.0
% Syntax   : Number of clauses     :    5 (   2 unt;   0 nHn;   3 RR)
%            Number of literals    :   19 (   0 equ;  15 neg)
%            Maximal clause size   :   13 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (   3 sgn)
% SPC      : CNF_UNS_RFO_NEQ_HRN

% Comments :
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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) ).

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) ) ).

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