TPTP Problem File: SYN067-2.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN067-2 : TPTP v8.2.0. Bugfixed v1.2.1.
% Domain : Syntactic
% Problem : Pelletier Problem 38
% Version : Especial.
% Theorem formulation : Different clausification.
% English :
% Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.42 v8.2.0, 0.29 v8.1.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.33 v7.1.0, 0.50 v7.0.0, 0.38 v6.3.0, 0.29 v6.2.0, 0.22 v6.1.0, 0.29 v5.5.0, 0.50 v5.2.0, 0.40 v5.1.0, 0.55 v5.0.0, 0.64 v4.1.0, 0.62 v4.0.1, 0.60 v4.0.0, 0.71 v3.5.0, 0.86 v3.4.0, 0.75 v3.3.0, 0.67 v3.2.0, 0.33 v3.1.0, 0.67 v2.7.0, 0.62 v2.6.0, 0.67 v2.5.0, 0.60 v2.4.0, 0.40 v2.3.0, 0.67 v2.2.1, 1.00 v2.0.0
% Syntax : Number of clauses : 55 ( 1 unt; 44 nHn; 28 RR)
% Number of literals : 289 ( 0 equ; 156 neg)
% Maximal clause size : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 1-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 150 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments : A full predicate logic version of Pelletier 17 and 33.
% : Created using the TPTP clausifier.
% Bugfixes : v1.2.1 - Clauses replaced due to bug found in TPTP clausifier
%--------------------------------------------------------------------------
cnf(pel38_1,negated_conjecture,
( big_r(sk2(B),sk1(B))
| big_r(sk6(D),sk5(D))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_2,negated_conjecture,
( big_r(B,sk2(B))
| big_r(sk6(D),sk5(D))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_3,negated_conjecture,
( big_r(D,sk6(D))
| big_r(sk2(B),sk1(B))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_4,negated_conjecture,
( big_r(D,sk6(D))
| big_r(B,sk2(B))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_5,negated_conjecture,
( big_p(sk1(B))
| big_r(sk6(D),sk5(D))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_6,negated_conjecture,
( big_p(sk1(B))
| big_r(D,sk6(D))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_7,negated_conjecture,
( big_p(sk5(D))
| big_r(sk2(B),sk1(B))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_8,negated_conjecture,
( big_p(sk5(D))
| big_r(B,sk2(B))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_9,negated_conjecture,
( big_p(sk1(B))
| big_p(sk5(D))
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A) ) ).
cnf(pel38_10,negated_conjecture,
( big_p(A)
| big_r(sk2(A),sk1(A))
| big_r(sk6(C),sk5(C))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_11,negated_conjecture,
( big_p(A)
| big_r(C,sk6(C))
| big_r(sk2(A),sk1(A))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_12,negated_conjecture,
( big_p(A)
| big_r(A,sk2(A))
| big_r(sk6(C),sk5(C))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_13,negated_conjecture,
( big_p(A)
| big_r(C,sk6(C))
| big_r(A,sk2(A))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_14,negated_conjecture,
( big_p(A)
| big_p(sk5(C))
| big_r(sk2(A),sk1(A))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_15,negated_conjecture,
( big_p(A)
| big_p(sk5(C))
| big_r(A,sk2(A))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_16,negated_conjecture,
( big_p(C)
| big_r(sk2(B),sk1(B))
| big_r(sk4(C),sk3(C))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_17,negated_conjecture,
( big_p(C)
| big_r(B,sk2(B))
| big_r(sk4(C),sk3(C))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_18,negated_conjecture,
( big_p(C)
| big_r(C,sk4(C))
| big_r(sk2(B),sk1(B))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_19,negated_conjecture,
( big_p(C)
| big_r(C,sk4(C))
| big_r(B,sk2(B))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_20,negated_conjecture,
( big_p(C)
| big_p(sk1(B))
| big_r(sk4(C),sk3(C))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_21,negated_conjecture,
( big_p(C)
| big_p(sk1(B))
| big_r(C,sk4(C))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_22,negated_conjecture,
( big_p(C)
| big_p(sk3(C))
| big_r(sk2(B),sk1(B))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_23,negated_conjecture,
( big_p(C)
| big_p(sk3(C))
| big_r(B,sk2(B))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_24,negated_conjecture,
( big_p(C)
| big_p(sk1(B))
| big_p(sk3(C))
| ~ big_p(A)
| ~ big_r(B,A) ) ).
cnf(pel38_25,negated_conjecture,
( big_p(B)
| big_p(A)
| big_r(sk2(A),sk1(A))
| big_r(sk4(B),sk3(B)) ) ).
cnf(pel38_26,negated_conjecture,
( big_p(B)
| big_p(A)
| big_r(B,sk4(B))
| big_r(sk2(A),sk1(A)) ) ).
cnf(pel38_27,negated_conjecture,
( big_p(B)
| big_p(A)
| big_r(A,sk2(A))
| big_r(sk4(B),sk3(B)) ) ).
cnf(pel38_28,negated_conjecture,
( big_p(B)
| big_p(A)
| big_r(B,sk4(B))
| big_r(A,sk2(A)) ) ).
cnf(pel38_29,negated_conjecture,
( big_p(B)
| big_p(A)
| big_p(sk3(B))
| big_r(sk2(A),sk1(A)) ) ).
cnf(pel38_30,negated_conjecture,
( big_p(B)
| big_p(A)
| big_p(sk3(B))
| big_r(A,sk2(A)) ) ).
cnf(pel38_31,negated_conjecture,
( big_p(A)
| big_p(sk1(A))
| big_r(sk6(C),sk5(C))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_32,negated_conjecture,
( big_p(A)
| big_p(sk1(A))
| big_r(C,sk6(C))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_33,negated_conjecture,
( big_p(A)
| big_p(sk1(A))
| big_p(sk5(C))
| ~ big_p(B)
| ~ big_r(C,B) ) ).
cnf(pel38_34,negated_conjecture,
( big_p(B)
| big_p(A)
| big_p(sk1(A))
| big_r(sk4(B),sk3(B)) ) ).
cnf(pel38_35,negated_conjecture,
( big_p(B)
| big_p(A)
| big_p(sk1(A))
| big_r(B,sk4(B)) ) ).
cnf(pel38_36,negated_conjecture,
( big_p(B)
| big_p(A)
| big_p(sk1(A))
| big_p(sk3(B)) ) ).
cnf(pel38_37,negated_conjecture,
big_p(a) ).
cnf(pel38_38,negated_conjecture,
( big_p(sk11)
| big_p(sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_39,negated_conjecture,
( big_p(sk8)
| big_r(sk10,sk11)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_40,negated_conjecture,
( big_p(sk8)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_p(sk9)
| ~ big_r(B,A)
| ~ big_r(sk10,B) ) ).
cnf(pel38_41,negated_conjecture,
( big_p(sk11)
| big_p(sk8)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_r(B,A)
| ~ big_r(sk9,B) ) ).
cnf(pel38_42,negated_conjecture,
( big_p(sk8)
| big_r(sk10,sk11)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_r(B,A)
| ~ big_r(sk9,B) ) ).
cnf(pel38_43,negated_conjecture,
( big_p(sk8)
| ~ big_p(C)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_r(D,C)
| ~ big_r(B,A)
| ~ big_r(sk10,D)
| ~ big_r(sk9,B) ) ).
cnf(pel38_44,negated_conjecture,
( big_p(sk11)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_45,negated_conjecture,
( big_r(sk10,sk11)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_46,negated_conjecture,
( big_r(sk7,sk8)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_p(sk9)
| ~ big_r(B,A)
| ~ big_r(sk10,B) ) ).
cnf(pel38_47,negated_conjecture,
( big_p(sk11)
| big_r(sk7,sk8)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_r(B,A)
| ~ big_r(sk9,B) ) ).
cnf(pel38_48,negated_conjecture,
( big_r(sk10,sk11)
| big_r(sk7,sk8)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_r(B,A)
| ~ big_r(sk9,B) ) ).
cnf(pel38_49,negated_conjecture,
( big_r(sk7,sk8)
| ~ big_p(C)
| ~ big_p(A)
| ~ big_p(sk7)
| ~ big_r(D,C)
| ~ big_r(B,A)
| ~ big_r(sk10,D)
| ~ big_r(sk9,B) ) ).
cnf(pel38_50,negated_conjecture,
( big_p(sk11)
| ~ big_p(A)
| ~ big_p(sk9)
| ~ big_r(B,A)
| ~ big_r(sk7,B) ) ).
cnf(pel38_51,negated_conjecture,
( big_r(sk10,sk11)
| ~ big_p(A)
| ~ big_p(sk9)
| ~ big_r(B,A)
| ~ big_r(sk7,B) ) ).
cnf(pel38_52,negated_conjecture,
( ~ big_p(C)
| ~ big_p(A)
| ~ big_p(sk9)
| ~ big_r(D,C)
| ~ big_r(B,A)
| ~ big_r(sk10,D)
| ~ big_r(sk7,B) ) ).
cnf(pel38_53,negated_conjecture,
( big_p(sk11)
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A)
| ~ big_r(sk7,B)
| ~ big_r(sk9,D) ) ).
cnf(pel38_54,negated_conjecture,
( big_r(sk10,sk11)
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(D,C)
| ~ big_r(B,A)
| ~ big_r(sk7,B)
| ~ big_r(sk9,D) ) ).
cnf(pel38_55,negated_conjecture,
( ~ big_p(E)
| ~ big_p(C)
| ~ big_p(A)
| ~ big_r(F,E)
| ~ big_r(D,C)
| ~ big_r(B,A)
| ~ big_r(sk10,F)
| ~ big_r(sk7,B)
| ~ big_r(sk9,D) ) ).
%--------------------------------------------------------------------------