%--------------------------------------------------------------------------
% File     : SYN086-1.003 : TPTP v8.2.0. Bugfixed v1.2.1.
% Domain   : Syntactic
% Problem  : Plaisted problem s(2,3)
% Version  : Biased.
% English  :

% Refs     : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% Source   : [Pla94]
% Names    : S2n [Pla94]

% Status   : Satisfiable
% Rating   : 0.00 v2.1.0
% Syntax   : Number of clauses     :   19 (   1 unt;   0 nHn;  19 RR)
%            Number of literals    :   49 (   0 equ;  31 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   12 (  12 usr;  12 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)
% SPC      : CNF_SAT_PRP

% Comments : Biased away from various calculi.
%          : tptp2X: -f tptp -s3 SYN086-1.g
% Bugfixes : v1.2.0 - Errors in type 1 clauses fixed.
%          : v1.2.1 - Incorrect range in type 1 clauses fixed.
%--------------------------------------------------------------------------
cnf(s2_goal_1,negated_conjecture,
    ~ p_1_3 ).

cnf(s2_type11_1,axiom,
    ( p_1_2
    | ~ p_2_2
    | ~ p_1_1 ) ).

cnf(s2_type11_2,axiom,
    ( p_1_2
    | ~ q_2_2
    | ~ q_1_1 ) ).

cnf(s2_type11_3,axiom,
    ( p_1_3
    | ~ p_2_3
    | ~ p_1_2 ) ).

cnf(s2_type11_4,axiom,
    ( p_1_3
    | ~ q_2_3
    | ~ q_1_2 ) ).

cnf(s2_type11_5,axiom,
    ( p_2_3
    | ~ p_3_3
    | ~ p_2_2 ) ).

cnf(s2_type11_6,axiom,
    ( p_2_3
    | ~ q_3_3
    | ~ q_2_2 ) ).

cnf(s2_type12_1,axiom,
    ( q_1_2
    | ~ p_2_2
    | ~ q_1_1 ) ).

cnf(s2_type12_2,axiom,
    ( q_1_2
    | ~ q_2_2
    | ~ p_1_1 ) ).

cnf(s2_type12_3,axiom,
    ( q_1_3
    | ~ p_2_3
    | ~ q_1_2 ) ).

cnf(s2_type12_4,axiom,
    ( q_1_3
    | ~ q_2_3
    | ~ p_1_2 ) ).

cnf(s2_type12_5,axiom,
    ( q_2_3
    | ~ p_3_3
    | ~ q_2_2 ) ).

cnf(s2_type12_6,axiom,
    ( q_2_3
    | ~ q_3_3
    | ~ p_2_2 ) ).

cnf(s2_type21_1,axiom,
    ( p_1_1
    | ~ p_1_2 ) ).

cnf(s2_type21_2,axiom,
    ( q_1_1
    | ~ q_1_2 ) ).

cnf(s2_type22_1,axiom,
    ( p_2_2
    | ~ p_1_2 ) ).

cnf(s2_type22_2,axiom,
    ( p_3_3
    | ~ p_2_3 ) ).

cnf(s2_type22_3,axiom,
    ( q_2_2
    | ~ q_1_2 ) ).

cnf(s2_type22_4,axiom,
    ( q_3_3
    | ~ q_2_3 ) ).

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