## TPTP Problem File: SYN093-1.002.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Domain   : Syntactic
% Problem  : Plaisted problem u(t(2,2))
% Version  : Biased.
% English  :

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

% Status   : Unsatisfiable
% Rating   : 0.33 v5.5.0, 0.00 v2.1.0
% Syntax   : Number of clauses     :   26 (   1 unt;  12 nHn;  26 RR)
%            Number of literals    :   63 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   19 (  19 usr;  19 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)
% SPC      : CNF_UNS_PRP

% Comments : Biased away from various calculi.
%          : tptp2X: -f tptp -s2 SYN093-1.g
% Bugfixes : v1.2.0 - Bugfix in SYN086-1.
%          : v1.2.1 - Bugfix in SYN086-1.
%--------------------------------------------------------------------------
cnf(u_s2_goal_1,negated_conjecture,
( u_1
| ~ p_1_2 ) ).

cnf(u_1_s2_goal_1,axiom,
~ u_1 ).

cnf(u_s2_type11_1,axiom,
( u_2
| p_1_2
| ~ p_2_2
| ~ p_1_1 ) ).

cnf(u_2_s2_type11_1,axiom,
( p_1_2
| ~ u_2 ) ).

cnf(u_s2_type11_2,axiom,
( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 ) ).

cnf(u_3_s2_type11_2,axiom,
( p_1_2
| ~ u_3 ) ).

cnf(u_s2_type12_1,axiom,
( u_4
| q_1_2
| ~ p_2_2
| ~ q_1_1 ) ).

cnf(u_4_s2_type12_1,axiom,
( q_1_2
| ~ u_4 ) ).

cnf(u_s2_type12_2,axiom,
( u_5
| q_1_2
| ~ q_2_2
| ~ p_1_1 ) ).

cnf(u_5_s2_type12_2,axiom,
( q_1_2
| ~ u_5 ) ).

cnf(u_s2_type21_1,axiom,
( u_6
| p_1_1
| ~ p_1_2 ) ).

cnf(u_6_s2_type21_1,axiom,
( p_1_1
| ~ u_6 ) ).

cnf(u_s2_type21_2,axiom,
( u_7
| q_1_1
| ~ q_1_2 ) ).

cnf(u_7_s2_type21_2,axiom,
( q_1_1
| ~ u_7 ) ).

cnf(u_s2_type22_1,axiom,
( u_8
| p_2_2
| ~ p_1_2 ) ).

cnf(u_8_s2_type22_1,axiom,
( p_2_2
| ~ u_8 ) ).

cnf(u_s2_type22_2,axiom,
( u_9
| q_2_2
| ~ q_1_2 ) ).

cnf(u_9_s2_type22_2,axiom,
( q_2_2
| ~ u_9 ) ).

cnf(u_t2_1,axiom,
( u_10
| p_1_1 ) ).

cnf(u_10_t2_1,axiom,
( p_1_1
| ~ u_10 ) ).

cnf(u_t2_2,axiom,
( u_11
| q_1_1 ) ).

cnf(u_11_t2_2,axiom,
( q_1_1
| ~ u_11 ) ).

cnf(u_t2_3,axiom,
( u_12
| p_2_2 ) ).

cnf(u_12_t2_3,axiom,
( p_2_2
| ~ u_12 ) ).

cnf(u_t2_4,axiom,
( u_13
| q_2_2 ) ).

cnf(u_13_t2_4,axiom,
( q_2_2
| ~ u_13 ) ).

%--------------------------------------------------------------------------
```