TPTP Problem File: SYN100-1.005.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN100-1.005 : TPTP v8.2.0. Bugfixed v1.2.1.
% Domain : Syntactic
% Problem : Plaisted problem sym(m(t(3,5)))
% Version : Biased.
% English :
% Refs : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% Source : [Pla94]
% Names : Sym(M(T3n)) [Pla94]
% Status : Unsatisfiable
% Rating : 0.00 v2.1.0
% Syntax : Number of clauses : 82 ( 8 unt; 33 nHn; 81 RR)
% Number of literals : 220 ( 0 equ; 110 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 44 ( 44 usr; 0 prp; 1-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 74 ( 0 sgn)
% SPC : CNF_UNS_EPR_NEQ_NHN
% Comments : Biased away from various calculi.
% : tptp2X: -f tptp -s5 SYN100-1.g
% Bugfixes : v1.2.0 - Bugfix in SYN086-1.
% : v1.2.1 - Bugfix in SYN086-1.
%--------------------------------------------------------------------------
cnf(m_s3_goal_1,negated_conjecture,
( ~ p_0(X)
| ~ q_0(X) ) ).
cnf(m_s3_type11_1,axiom,
( p_0(X)
| ~ p_1(X)
| ~ p_2(X) ) ).
cnf(m_s3_type11_2,axiom,
( p_0(X)
| ~ q_1(X)
| ~ q_2(X) ) ).
cnf(m_s3_type11_3,axiom,
( p_1(X)
| ~ p_2(X)
| ~ p_3(X) ) ).
cnf(m_s3_type11_4,axiom,
( p_1(X)
| ~ q_2(X)
| ~ q_3(X) ) ).
cnf(m_s3_type11_5,axiom,
( p_2(X)
| ~ p_3(X)
| ~ p_4(X) ) ).
cnf(m_s3_type11_6,axiom,
( p_2(X)
| ~ q_3(X)
| ~ q_4(X) ) ).
cnf(m_s3_type11_7,axiom,
( p_3(X)
| ~ p_4(X)
| ~ p_5(X) ) ).
cnf(m_s3_type11_8,axiom,
( p_3(X)
| ~ q_4(X)
| ~ q_5(X) ) ).
cnf(m_s3_type11_9,axiom,
( p_4(X)
| ~ p_5(X)
| ~ p_6(X) ) ).
cnf(m_s3_type11_10,axiom,
( p_4(X)
| ~ q_5(X)
| ~ q_6(X) ) ).
cnf(m_s3_type11_11,axiom,
( p_5(X)
| ~ p_6(X)
| ~ p_7(X) ) ).
cnf(m_s3_type11_12,axiom,
( p_5(X)
| ~ q_6(X)
| ~ q_7(X) ) ).
cnf(m_s3_type11_13,axiom,
( p_6(X)
| ~ p_7(X)
| ~ p_8(X) ) ).
cnf(m_s3_type11_14,axiom,
( p_6(X)
| ~ q_7(X)
| ~ q_8(X) ) ).
cnf(m_s3_type11_15,axiom,
( p_7(X)
| ~ p_8(X)
| ~ p_9(X) ) ).
cnf(m_s3_type11_16,axiom,
( p_7(X)
| ~ q_8(X)
| ~ q_9(X) ) ).
cnf(m_s3_type12_1,axiom,
( q_0(X)
| ~ p_1(X)
| ~ q_2(X) ) ).
cnf(m_s3_type12_2,axiom,
( q_0(X)
| ~ q_1(X)
| ~ p_2(X) ) ).
cnf(m_s3_type12_3,axiom,
( q_1(X)
| ~ p_2(X)
| ~ q_3(X) ) ).
cnf(m_s3_type12_4,axiom,
( q_1(X)
| ~ q_2(X)
| ~ p_3(X) ) ).
cnf(m_s3_type12_5,axiom,
( q_2(X)
| ~ p_3(X)
| ~ q_4(X) ) ).
cnf(m_s3_type12_6,axiom,
( q_2(X)
| ~ q_3(X)
| ~ p_4(X) ) ).
cnf(m_s3_type12_7,axiom,
( q_3(X)
| ~ p_4(X)
| ~ q_5(X) ) ).
cnf(m_s3_type12_8,axiom,
( q_3(X)
| ~ q_4(X)
| ~ p_5(X) ) ).
cnf(m_s3_type12_9,axiom,
( q_4(X)
| ~ p_5(X)
| ~ q_6(X) ) ).
cnf(m_s3_type12_10,axiom,
( q_4(X)
| ~ q_5(X)
| ~ p_6(X) ) ).
cnf(m_s3_type12_11,axiom,
( q_5(X)
| ~ p_6(X)
| ~ q_7(X) ) ).
cnf(m_s3_type12_12,axiom,
( q_5(X)
| ~ q_6(X)
| ~ p_7(X) ) ).
cnf(m_s3_type12_13,axiom,
( q_6(X)
| ~ p_7(X)
| ~ q_8(X) ) ).
cnf(m_s3_type12_14,axiom,
( q_6(X)
| ~ q_7(X)
| ~ p_8(X) ) ).
cnf(m_s3_type12_15,axiom,
( q_7(X)
| ~ p_8(X)
| ~ q_9(X) ) ).
cnf(m_s3_type12_16,axiom,
( q_7(X)
| ~ q_8(X)
| ~ p_9(X) ) ).
cnf(m_s3_type2_1,axiom,
( p_9(X)
| ~ p_4(X) ) ).
cnf(m_s3_type2_2,axiom,
( p_10(X)
| ~ p_5(X) ) ).
cnf(m_s3_type2_3,axiom,
( q_9(X)
| ~ q_4(X) ) ).
cnf(m_s3_type2_4,axiom,
( q_10(X)
| ~ q_5(X) ) ).
cnf(m_t3_1,axiom,
p_8(a) ).
cnf(m_t3_2,axiom,
p_9(a) ).
cnf(m_t3_3,axiom,
q_8(a) ).
cnf(m_t3_4,axiom,
q_9(a) ).
cnf(sym_m_s3_goal_1,axiom,
( sym_p_0(X)
| sym_q_0(X) ) ).
cnf(sym_m_s3_type11_1,axiom,
( ~ sym_p_0(X)
| sym_p_1(X)
| sym_p_2(X) ) ).
cnf(sym_m_s3_type11_2,axiom,
( ~ sym_p_0(X)
| sym_q_1(X)
| sym_q_2(X) ) ).
cnf(sym_m_s3_type11_3,axiom,
( ~ sym_p_1(X)
| sym_p_2(X)
| sym_p_3(X) ) ).
cnf(sym_m_s3_type11_4,axiom,
( ~ sym_p_1(X)
| sym_q_2(X)
| sym_q_3(X) ) ).
cnf(sym_m_s3_type11_5,axiom,
( ~ sym_p_2(X)
| sym_p_3(X)
| sym_p_4(X) ) ).
cnf(sym_m_s3_type11_6,axiom,
( ~ sym_p_2(X)
| sym_q_3(X)
| sym_q_4(X) ) ).
cnf(sym_m_s3_type11_7,axiom,
( ~ sym_p_3(X)
| sym_p_4(X)
| sym_p_5(X) ) ).
cnf(sym_m_s3_type11_8,axiom,
( ~ sym_p_3(X)
| sym_q_4(X)
| sym_q_5(X) ) ).
cnf(sym_m_s3_type11_9,axiom,
( ~ sym_p_4(X)
| sym_p_5(X)
| sym_p_6(X) ) ).
cnf(sym_m_s3_type11_10,axiom,
( ~ sym_p_4(X)
| sym_q_5(X)
| sym_q_6(X) ) ).
cnf(sym_m_s3_type11_11,axiom,
( ~ sym_p_5(X)
| sym_p_6(X)
| sym_p_7(X) ) ).
cnf(sym_m_s3_type11_12,axiom,
( ~ sym_p_5(X)
| sym_q_6(X)
| sym_q_7(X) ) ).
cnf(sym_m_s3_type11_13,axiom,
( ~ sym_p_6(X)
| sym_p_7(X)
| sym_p_8(X) ) ).
cnf(sym_m_s3_type11_14,axiom,
( ~ sym_p_6(X)
| sym_q_7(X)
| sym_q_8(X) ) ).
cnf(sym_m_s3_type11_15,axiom,
( ~ sym_p_7(X)
| sym_p_8(X)
| sym_p_9(X) ) ).
cnf(sym_m_s3_type11_16,axiom,
( ~ sym_p_7(X)
| sym_q_8(X)
| sym_q_9(X) ) ).
cnf(sym_m_s3_type12_1,axiom,
( ~ sym_q_0(X)
| sym_p_1(X)
| sym_q_2(X) ) ).
cnf(sym_m_s3_type12_2,axiom,
( ~ sym_q_0(X)
| sym_q_1(X)
| sym_p_2(X) ) ).
cnf(sym_m_s3_type12_3,axiom,
( ~ sym_q_1(X)
| sym_p_2(X)
| sym_q_3(X) ) ).
cnf(sym_m_s3_type12_4,axiom,
( ~ sym_q_1(X)
| sym_q_2(X)
| sym_p_3(X) ) ).
cnf(sym_m_s3_type12_5,axiom,
( ~ sym_q_2(X)
| sym_p_3(X)
| sym_q_4(X) ) ).
cnf(sym_m_s3_type12_6,axiom,
( ~ sym_q_2(X)
| sym_q_3(X)
| sym_p_4(X) ) ).
cnf(sym_m_s3_type12_7,axiom,
( ~ sym_q_3(X)
| sym_p_4(X)
| sym_q_5(X) ) ).
cnf(sym_m_s3_type12_8,axiom,
( ~ sym_q_3(X)
| sym_q_4(X)
| sym_p_5(X) ) ).
cnf(sym_m_s3_type12_9,axiom,
( ~ sym_q_4(X)
| sym_p_5(X)
| sym_q_6(X) ) ).
cnf(sym_m_s3_type12_10,axiom,
( ~ sym_q_4(X)
| sym_q_5(X)
| sym_p_6(X) ) ).
cnf(sym_m_s3_type12_11,axiom,
( ~ sym_q_5(X)
| sym_p_6(X)
| sym_q_7(X) ) ).
cnf(sym_m_s3_type12_12,axiom,
( ~ sym_q_5(X)
| sym_q_6(X)
| sym_p_7(X) ) ).
cnf(sym_m_s3_type12_13,axiom,
( ~ sym_q_6(X)
| sym_p_7(X)
| sym_q_8(X) ) ).
cnf(sym_m_s3_type12_14,axiom,
( ~ sym_q_6(X)
| sym_q_7(X)
| sym_p_8(X) ) ).
cnf(sym_m_s3_type12_15,axiom,
( ~ sym_q_7(X)
| sym_p_8(X)
| sym_q_9(X) ) ).
cnf(sym_m_s3_type12_16,axiom,
( ~ sym_q_7(X)
| sym_q_8(X)
| sym_p_9(X) ) ).
cnf(sym_m_s3_type2_1,axiom,
( ~ sym_p_9(X)
| sym_p_4(X) ) ).
cnf(sym_m_s3_type2_2,axiom,
( ~ sym_p_10(X)
| sym_p_5(X) ) ).
cnf(sym_m_s3_type2_3,axiom,
( ~ sym_q_9(X)
| sym_q_4(X) ) ).
cnf(sym_m_s3_type2_4,axiom,
( ~ sym_q_10(X)
| sym_q_5(X) ) ).
cnf(sym_m_t3_1,axiom,
~ sym_p_8(a) ).
cnf(sym_m_t3_2,axiom,
~ sym_p_9(a) ).
cnf(sym_m_t3_3,axiom,
~ sym_q_8(a) ).
cnf(sym_m_t3_4,axiom,
~ sym_q_9(a) ).
%--------------------------------------------------------------------------