## TPTP Problem File: SYN090-1.008.p

View Solutions - Solve Problem

%--------------------------------------------------------------------------
% File     : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Domain   : Syntactic
% Problem  : Plaisted problem t(3,8)
% Version  : Biased.
% English  :

% Refs     : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% Source   : [Pla94]
% Names    : T3n [Pla94]

% Status   : Unsatisfiable
% Rating   : 0.33 v5.5.0, 0.00 v2.1.0
% Syntax   : Number of clauses     :   65 (   4 unt;   0 nHn;  65 RR)
%            Number of literals    :  182 (   0 equ; 118 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   34 (  34 usr;  34 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 -s8 SYN090-1.g
% Bugfixes : v1.2.1 - Bugfix in SYN087-1.
%--------------------------------------------------------------------------
cnf(s3_goal_1,negated_conjecture,
( ~ p_0
| ~ q_0 ) ).

cnf(s3_type11_1,axiom,
( p_0
| ~ p_1
| ~ p_2 ) ).

cnf(s3_type11_2,axiom,
( p_0
| ~ q_1
| ~ q_2 ) ).

cnf(s3_type11_3,axiom,
( p_1
| ~ p_2
| ~ p_3 ) ).

cnf(s3_type11_4,axiom,
( p_1
| ~ q_2
| ~ q_3 ) ).

cnf(s3_type11_5,axiom,
( p_2
| ~ p_3
| ~ p_4 ) ).

cnf(s3_type11_6,axiom,
( p_2
| ~ q_3
| ~ q_4 ) ).

cnf(s3_type11_7,axiom,
( p_3
| ~ p_4
| ~ p_5 ) ).

cnf(s3_type11_8,axiom,
( p_3
| ~ q_4
| ~ q_5 ) ).

cnf(s3_type11_9,axiom,
( p_4
| ~ p_5
| ~ p_6 ) ).

cnf(s3_type11_10,axiom,
( p_4
| ~ q_5
| ~ q_6 ) ).

cnf(s3_type11_11,axiom,
( p_5
| ~ p_6
| ~ p_7 ) ).

cnf(s3_type11_12,axiom,
( p_5
| ~ q_6
| ~ q_7 ) ).

cnf(s3_type11_13,axiom,
( p_6
| ~ p_7
| ~ p_8 ) ).

cnf(s3_type11_14,axiom,
( p_6
| ~ q_7
| ~ q_8 ) ).

cnf(s3_type11_15,axiom,
( p_7
| ~ p_8
| ~ p_9 ) ).

cnf(s3_type11_16,axiom,
( p_7
| ~ q_8
| ~ q_9 ) ).

cnf(s3_type11_17,axiom,
( p_8
| ~ p_9
| ~ p_10 ) ).

cnf(s3_type11_18,axiom,
( p_8
| ~ q_9
| ~ q_10 ) ).

cnf(s3_type11_19,axiom,
( p_9
| ~ p_10
| ~ p_11 ) ).

cnf(s3_type11_20,axiom,
( p_9
| ~ q_10
| ~ q_11 ) ).

cnf(s3_type11_21,axiom,
( p_10
| ~ p_11
| ~ p_12 ) ).

cnf(s3_type11_22,axiom,
( p_10
| ~ q_11
| ~ q_12 ) ).

cnf(s3_type11_23,axiom,
( p_11
| ~ p_12
| ~ p_13 ) ).

cnf(s3_type11_24,axiom,
( p_11
| ~ q_12
| ~ q_13 ) ).

cnf(s3_type11_25,axiom,
( p_12
| ~ p_13
| ~ p_14 ) ).

cnf(s3_type11_26,axiom,
( p_12
| ~ q_13
| ~ q_14 ) ).

cnf(s3_type11_27,axiom,
( p_13
| ~ p_14
| ~ p_15 ) ).

cnf(s3_type11_28,axiom,
( p_13
| ~ q_14
| ~ q_15 ) ).

cnf(s3_type12_1,axiom,
( q_0
| ~ p_1
| ~ q_2 ) ).

cnf(s3_type12_2,axiom,
( q_0
| ~ q_1
| ~ p_2 ) ).

cnf(s3_type12_3,axiom,
( q_1
| ~ p_2
| ~ q_3 ) ).

cnf(s3_type12_4,axiom,
( q_1
| ~ q_2
| ~ p_3 ) ).

cnf(s3_type12_5,axiom,
( q_2
| ~ p_3
| ~ q_4 ) ).

cnf(s3_type12_6,axiom,
( q_2
| ~ q_3
| ~ p_4 ) ).

cnf(s3_type12_7,axiom,
( q_3
| ~ p_4
| ~ q_5 ) ).

cnf(s3_type12_8,axiom,
( q_3
| ~ q_4
| ~ p_5 ) ).

cnf(s3_type12_9,axiom,
( q_4
| ~ p_5
| ~ q_6 ) ).

cnf(s3_type12_10,axiom,
( q_4
| ~ q_5
| ~ p_6 ) ).

cnf(s3_type12_11,axiom,
( q_5
| ~ p_6
| ~ q_7 ) ).

cnf(s3_type12_12,axiom,
( q_5
| ~ q_6
| ~ p_7 ) ).

cnf(s3_type12_13,axiom,
( q_6
| ~ p_7
| ~ q_8 ) ).

cnf(s3_type12_14,axiom,
( q_6
| ~ q_7
| ~ p_8 ) ).

cnf(s3_type12_15,axiom,
( q_7
| ~ p_8
| ~ q_9 ) ).

cnf(s3_type12_16,axiom,
( q_7
| ~ q_8
| ~ p_9 ) ).

cnf(s3_type12_17,axiom,
( q_8
| ~ p_9
| ~ q_10 ) ).

cnf(s3_type12_18,axiom,
( q_8
| ~ q_9
| ~ p_10 ) ).

cnf(s3_type12_19,axiom,
( q_9
| ~ p_10
| ~ q_11 ) ).

cnf(s3_type12_20,axiom,
( q_9
| ~ q_10
| ~ p_11 ) ).

cnf(s3_type12_21,axiom,
( q_10
| ~ p_11
| ~ q_12 ) ).

cnf(s3_type12_22,axiom,
( q_10
| ~ q_11
| ~ p_12 ) ).

cnf(s3_type12_23,axiom,
( q_11
| ~ p_12
| ~ q_13 ) ).

cnf(s3_type12_24,axiom,
( q_11
| ~ q_12
| ~ p_13 ) ).

cnf(s3_type12_25,axiom,
( q_12
| ~ p_13
| ~ q_14 ) ).

cnf(s3_type12_26,axiom,
( q_12
| ~ q_13
| ~ p_14 ) ).

cnf(s3_type12_27,axiom,
( q_13
| ~ p_14
| ~ q_15 ) ).

cnf(s3_type12_28,axiom,
( q_13
| ~ q_14
| ~ p_15 ) ).

cnf(s3_type2_1,axiom,
( p_15
| ~ p_7 ) ).

cnf(s3_type2_2,axiom,
( p_16
| ~ p_8 ) ).

cnf(s3_type2_3,axiom,
( q_15
| ~ q_7 ) ).

cnf(s3_type2_4,axiom,
( q_16
| ~ q_8 ) ).

cnf(t3_1,axiom,
p_14 ).

cnf(t3_2,axiom,
p_15 ).

cnf(t3_3,axiom,
q_14 ).

cnf(t3_4,axiom,
q_15 ).

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