TPTP Problem File: SYN036-3.p

View Solutions - Solve Problem

%--------------------------------------------------------------------------
% File     : SYN036-3 : TPTP v8.2.0. Released v1.0.0.
% Domain   : Syntactic
% Problem  : Andrews Challenge Problem
% Version  : Especial.
%            Theorem formulation : Different clausal form.
% English  :

% Refs     : [DeC79] DeChampeaux (1979), Sub-problem Finder and Instance Ch
%          : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
%          : [AZ89]  Angshuman & Zhang (1989), Andrews' Challenge Problem:
% Source   : [AZ89]
% Names    : Problem 9 [AZ89]

% Status   : Unsatisfiable
% Rating   : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.1.0, 0.09 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.2.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.25 v2.6.0, 0.00 v2.5.0, 0.20 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% Syntax   : Number of clauses     :   36 (   0 unt;  11 nHn;  30 RR)
%            Number of literals    :  104 (   0 equ;  52 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  12 usr;   8 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   18 (  10 sgn)
% SPC      : CNF_UNS_RFO_NEQ_NHN

% Comments :
%--------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ) ).

cnf(clause_2,negated_conjecture,
    ( ~ n2
    | ~ n9
    | n6
    | n10 ) ).

cnf(clause_3,negated_conjecture,
    ( n2
    | n9
    | ~ n6
    | ~ n10 ) ).

cnf(clause_4,negated_conjecture,
    ( n2
    | n9
    | n6
    | n10 ) ).

cnf(clause_5,negated_conjecture,
    ( ~ n2
    | n9
    | ~ n6
    | n10 ) ).

cnf(clause_6,negated_conjecture,
    ( ~ n2
    | n9
    | n6
    | ~ n10 ) ).

cnf(clause_7,negated_conjecture,
    ( n2
    | ~ n9
    | ~ n6
    | n10 ) ).

cnf(clause_8,negated_conjecture,
    ( n2
    | ~ n9
    | n6
    | ~ n10 ) ).

cnf(clause_9,negated_conjecture,
    ( ~ p(s8)
    | n8 ) ).

cnf(clause_10,negated_conjecture,
    ( ~ n8
    | p(X8) ) ).

cnf(clause_11,negated_conjecture,
    ( ~ p(X7)
    | n7 ) ).

cnf(clause_12,negated_conjecture,
    ( ~ n7
    | p(s7) ) ).

cnf(clause_13,negated_conjecture,
    ( ~ n5(X6)
    | n6 ) ).

cnf(clause_14,negated_conjecture,
    ( ~ n6
    | n5(s6) ) ).

cnf(clause_15,negated_conjecture,
    ( ~ q(X)
    | ~ q(s5(X))
    | n5(X) ) ).

cnf(clause_16,negated_conjecture,
    ( q(X)
    | q(s5(X))
    | n5(X) ) ).

cnf(clause_17,negated_conjecture,
    ( ~ n5(X)
    | ~ q(X)
    | q(X5) ) ).

cnf(clause_18,negated_conjecture,
    ( ~ n5(X)
    | q(X)
    | ~ q(X5) ) ).

cnf(clause_19,negated_conjecture,
    ( ~ q(s4)
    | n4 ) ).

cnf(clause_20,negated_conjecture,
    ( ~ n4
    | q(X4) ) ).

cnf(clause_21,negated_conjecture,
    ( ~ q(X3)
    | n3 ) ).

cnf(clause_22,negated_conjecture,
    ( ~ n3
    | q(s3) ) ).

cnf(clause_23,negated_conjecture,
    ( ~ n1(X2)
    | n2 ) ).

cnf(clause_24,negated_conjecture,
    ( ~ n2
    | n1(s2) ) ).

cnf(clause_25,negated_conjecture,
    ( ~ p(X)
    | ~ p(s1(X))
    | n1(X) ) ).

cnf(clause_26,negated_conjecture,
    ( p(X)
    | p(s1(X))
    | n1(X) ) ).

cnf(clause_27,negated_conjecture,
    ( ~ n1(X)
    | ~ p(X)
    | p(X1) ) ).

cnf(clause_28,negated_conjecture,
    ( ~ n1(X)
    | p(X)
    | ~ p(X1) ) ).

cnf(clause_29,negated_conjecture,
    ( ~ n3
    | ~ n4
    | n9 ) ).

cnf(clause_30,negated_conjecture,
    ( n3
    | n4
    | n9 ) ).

cnf(clause_31,negated_conjecture,
    ( ~ n3
    | n4
    | ~ n9 ) ).

cnf(clause_32,negated_conjecture,
    ( n3
    | ~ n4
    | ~ n9 ) ).

cnf(clause_33,negated_conjecture,
    ( ~ n7
    | ~ n8
    | n10 ) ).

cnf(clause_34,negated_conjecture,
    ( n7
    | n8
    | n10 ) ).

cnf(clause_35,negated_conjecture,
    ( ~ n7
    | n8
    | ~ n10 ) ).

cnf(clause_36,negated_conjecture,
    ( n7
    | ~ n8
    | ~ n10 ) ).

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