## TPTP Problem File: SYN099-1.003.p

View Solutions - Solve Problem

%--------------------------------------------------------------------------
% File     : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Domain   : Syntactic
% Problem  : Plaisted problem sym(m(t(2,3)))
% Version  : Biased.
% English  :

% Refs     : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% Source   : [Pla94]
% Names    : Sym(M(T2n)) [Pla94]

% Status   : Unsatisfiable
% Rating   : 0.00 v2.1.0
% Syntax   : Number of clauses     :   50 (  14 unt;  12 nHn;  49 RR)
%            Number of literals    :  110 (   0 equ;  55 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  24 usr;   0 prp; 1-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   38 (   2 sgn)
% SPC      : CNF_UNS_EPR_NEQ_NHN

% Comments : Biased away from various calculi.
%          : tptp2X: -f tptp -s3 SYN099-1.g
% Bugfixes : v1.2.0 - Bugfix in SYN086-1.
%          : v1.2.1 - Bugfix in SYN086-1.
%--------------------------------------------------------------------------
cnf(m_s2_goal_1,negated_conjecture,
~ p_1_3(X) ).

cnf(m_s2_type11_1,axiom,
( p_1_2(X)
| ~ p_2_2(X)
| ~ p_1_1(X) ) ).

cnf(m_s2_type11_2,axiom,
( p_1_2(X)
| ~ q_2_2(X)
| ~ q_1_1(X) ) ).

cnf(m_s2_type11_3,axiom,
( p_1_3(X)
| ~ p_2_3(X)
| ~ p_1_2(X) ) ).

cnf(m_s2_type11_4,axiom,
( p_1_3(X)
| ~ q_2_3(X)
| ~ q_1_2(X) ) ).

cnf(m_s2_type11_5,axiom,
( p_2_3(X)
| ~ p_3_3(X)
| ~ p_2_2(X) ) ).

cnf(m_s2_type11_6,axiom,
( p_2_3(X)
| ~ q_3_3(X)
| ~ q_2_2(X) ) ).

cnf(m_s2_type12_1,axiom,
( q_1_2(X)
| ~ p_2_2(X)
| ~ q_1_1(X) ) ).

cnf(m_s2_type12_2,axiom,
( q_1_2(X)
| ~ q_2_2(X)
| ~ p_1_1(X) ) ).

cnf(m_s2_type12_3,axiom,
( q_1_3(X)
| ~ p_2_3(X)
| ~ q_1_2(X) ) ).

cnf(m_s2_type12_4,axiom,
( q_1_3(X)
| ~ q_2_3(X)
| ~ p_1_2(X) ) ).

cnf(m_s2_type12_5,axiom,
( q_2_3(X)
| ~ p_3_3(X)
| ~ q_2_2(X) ) ).

cnf(m_s2_type12_6,axiom,
( q_2_3(X)
| ~ q_3_3(X)
| ~ p_2_2(X) ) ).

cnf(m_s2_type21_1,axiom,
( p_1_1(X)
| ~ p_1_2(X) ) ).

cnf(m_s2_type21_2,axiom,
( q_1_1(X)
| ~ q_1_2(X) ) ).

cnf(m_s2_type22_1,axiom,
( p_2_2(X)
| ~ p_1_2(X) ) ).

cnf(m_s2_type22_2,axiom,
( p_3_3(X)
| ~ p_2_3(X) ) ).

cnf(m_s2_type22_3,axiom,
( q_2_2(X)
| ~ q_1_2(X) ) ).

cnf(m_s2_type22_4,axiom,
( q_3_3(X)
| ~ q_2_3(X) ) ).

cnf(m_t2_1,axiom,
p_1_1(a) ).

cnf(m_t2_2,axiom,
q_1_1(a) ).

cnf(m_t2_3,axiom,
p_2_2(a) ).

cnf(m_t2_4,axiom,
q_2_2(a) ).

cnf(m_t2_5,axiom,
p_3_3(a) ).

cnf(m_t2_6,axiom,
q_3_3(a) ).

cnf(sym_m_s2_goal_1,axiom,
sym_p_1_3(X) ).

cnf(sym_m_s2_type11_1,axiom,
( ~ sym_p_1_2(X)
| sym_p_2_2(X)
| sym_p_1_1(X) ) ).

cnf(sym_m_s2_type11_2,axiom,
( ~ sym_p_1_2(X)
| sym_q_2_2(X)
| sym_q_1_1(X) ) ).

cnf(sym_m_s2_type11_3,axiom,
( ~ sym_p_1_3(X)
| sym_p_2_3(X)
| sym_p_1_2(X) ) ).

cnf(sym_m_s2_type11_4,axiom,
( ~ sym_p_1_3(X)
| sym_q_2_3(X)
| sym_q_1_2(X) ) ).

cnf(sym_m_s2_type11_5,axiom,
( ~ sym_p_2_3(X)
| sym_p_3_3(X)
| sym_p_2_2(X) ) ).

cnf(sym_m_s2_type11_6,axiom,
( ~ sym_p_2_3(X)
| sym_q_3_3(X)
| sym_q_2_2(X) ) ).

cnf(sym_m_s2_type12_1,axiom,
( ~ sym_q_1_2(X)
| sym_p_2_2(X)
| sym_q_1_1(X) ) ).

cnf(sym_m_s2_type12_2,axiom,
( ~ sym_q_1_2(X)
| sym_q_2_2(X)
| sym_p_1_1(X) ) ).

cnf(sym_m_s2_type12_3,axiom,
( ~ sym_q_1_3(X)
| sym_p_2_3(X)
| sym_q_1_2(X) ) ).

cnf(sym_m_s2_type12_4,axiom,
( ~ sym_q_1_3(X)
| sym_q_2_3(X)
| sym_p_1_2(X) ) ).

cnf(sym_m_s2_type12_5,axiom,
( ~ sym_q_2_3(X)
| sym_p_3_3(X)
| sym_q_2_2(X) ) ).

cnf(sym_m_s2_type12_6,axiom,
( ~ sym_q_2_3(X)
| sym_q_3_3(X)
| sym_p_2_2(X) ) ).

cnf(sym_m_s2_type21_1,axiom,
( ~ sym_p_1_1(X)
| sym_p_1_2(X) ) ).

cnf(sym_m_s2_type21_2,axiom,
( ~ sym_q_1_1(X)
| sym_q_1_2(X) ) ).

cnf(sym_m_s2_type22_1,axiom,
( ~ sym_p_2_2(X)
| sym_p_1_2(X) ) ).

cnf(sym_m_s2_type22_2,axiom,
( ~ sym_p_3_3(X)
| sym_p_2_3(X) ) ).

cnf(sym_m_s2_type22_3,axiom,
( ~ sym_q_2_2(X)
| sym_q_1_2(X) ) ).

cnf(sym_m_s2_type22_4,axiom,
( ~ sym_q_3_3(X)
| sym_q_2_3(X) ) ).

cnf(sym_m_t2_1,axiom,
~ sym_p_1_1(a) ).

cnf(sym_m_t2_2,axiom,
~ sym_q_1_1(a) ).

cnf(sym_m_t2_3,axiom,
~ sym_p_2_2(a) ).

cnf(sym_m_t2_4,axiom,
~ sym_q_2_2(a) ).

cnf(sym_m_t2_5,axiom,
~ sym_p_3_3(a) ).

cnf(sym_m_t2_6,axiom,
~ sym_q_3_3(a) ).

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