TPTP Problem File: SYN092-1.003.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN092-1.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% Domain : Syntactic
% Problem : Plaisted problem sym(s(3,3))
% Version : Biased.
% English :
% Refs : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% Source : [Pla94]
% Names : Sym(S3n) [Pla94]
% Status : Satisfiable
% Rating : 0.00 v2.1.0
% Syntax : Number of clauses : 42 ( 0 unt; 17 nHn; 42 RR)
% Number of literals : 116 ( 0 equ; 58 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 28 ( 28 usr; 28 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 SYN092-1.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_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_type2_1,axiom,
( p_5
| ~ p_2 ) ).
cnf(s3_type2_2,axiom,
( p_6
| ~ p_3 ) ).
cnf(s3_type2_3,axiom,
( q_5
| ~ q_2 ) ).
cnf(s3_type2_4,axiom,
( q_6
| ~ q_3 ) ).
cnf(sym_s3_goal_1,axiom,
( sym_p_0
| sym_q_0 ) ).
cnf(sym_s3_type11_1,axiom,
( ~ sym_p_0
| sym_p_1
| sym_p_2 ) ).
cnf(sym_s3_type11_2,axiom,
( ~ sym_p_0
| sym_q_1
| sym_q_2 ) ).
cnf(sym_s3_type11_3,axiom,
( ~ sym_p_1
| sym_p_2
| sym_p_3 ) ).
cnf(sym_s3_type11_4,axiom,
( ~ sym_p_1
| sym_q_2
| sym_q_3 ) ).
cnf(sym_s3_type11_5,axiom,
( ~ sym_p_2
| sym_p_3
| sym_p_4 ) ).
cnf(sym_s3_type11_6,axiom,
( ~ sym_p_2
| sym_q_3
| sym_q_4 ) ).
cnf(sym_s3_type11_7,axiom,
( ~ sym_p_3
| sym_p_4
| sym_p_5 ) ).
cnf(sym_s3_type11_8,axiom,
( ~ sym_p_3
| sym_q_4
| sym_q_5 ) ).
cnf(sym_s3_type12_1,axiom,
( ~ sym_q_0
| sym_p_1
| sym_q_2 ) ).
cnf(sym_s3_type12_2,axiom,
( ~ sym_q_0
| sym_q_1
| sym_p_2 ) ).
cnf(sym_s3_type12_3,axiom,
( ~ sym_q_1
| sym_p_2
| sym_q_3 ) ).
cnf(sym_s3_type12_4,axiom,
( ~ sym_q_1
| sym_q_2
| sym_p_3 ) ).
cnf(sym_s3_type12_5,axiom,
( ~ sym_q_2
| sym_p_3
| sym_q_4 ) ).
cnf(sym_s3_type12_6,axiom,
( ~ sym_q_2
| sym_q_3
| sym_p_4 ) ).
cnf(sym_s3_type12_7,axiom,
( ~ sym_q_3
| sym_p_4
| sym_q_5 ) ).
cnf(sym_s3_type12_8,axiom,
( ~ sym_q_3
| sym_q_4
| sym_p_5 ) ).
cnf(sym_s3_type2_1,axiom,
( ~ sym_p_5
| sym_p_2 ) ).
cnf(sym_s3_type2_2,axiom,
( ~ sym_p_6
| sym_p_3 ) ).
cnf(sym_s3_type2_3,axiom,
( ~ sym_q_5
| sym_q_2 ) ).
cnf(sym_s3_type2_4,axiom,
( ~ sym_q_6
| sym_q_3 ) ).
%--------------------------------------------------------------------------