TPTP Problem File: SYN067-3.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN067-3 : TPTP v8.2.0. Released v1.2.0.
% 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 : 0.17 v8.2.0, 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.40 v5.2.0, 0.20 v5.1.0, 0.36 v5.0.0, 0.50 v4.0.1, 0.40 v4.0.0, 0.57 v3.5.0, 0.71 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0, 0.00 v3.1.0, 0.67 v2.7.0, 0.62 v2.6.0, 0.67 v2.5.0, 0.80 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0, 0.00 v2.0.0
% Syntax : Number of clauses : 46 ( 1 unt; 40 nHn; 19 RR)
% Number of literals : 259 ( 0 equ; 138 neg)
% Maximal clause size : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 1-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 120 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments : A full predicate logic version of Pelletier 17 and 33.
% : Created using the TPTP clausifier in Otter mode.
%--------------------------------------------------------------------------
cnf(pel38_1,negated_conjecture,
( big_p(A)
| big_p(B)
| big_p(sk1(B))
| big_p(sk3(A))
| ~ big_p(a) ) ).
cnf(pel38_2,negated_conjecture,
( big_p(C)
| big_p(D)
| big_p(sk1(D))
| big_r(C,sk4(C))
| ~ big_p(a) ) ).
cnf(pel38_3,negated_conjecture,
( big_p(E)
| big_p(F)
| big_p(sk1(F))
| big_r(sk4(E),sk3(E))
| ~ big_p(a) ) ).
cnf(pel38_4,negated_conjecture,
( big_p(G)
| big_p(H)
| big_p(sk3(G))
| big_r(H,sk2(H))
| ~ big_p(a) ) ).
cnf(pel38_5,negated_conjecture,
( big_p(I)
| big_p(J)
| big_r(I,sk4(I))
| big_r(J,sk2(J))
| ~ big_p(a) ) ).
cnf(pel38_6,negated_conjecture,
( big_p(K)
| big_p(L)
| big_r(L,sk2(L))
| big_r(sk4(K),sk3(K))
| ~ big_p(a) ) ).
cnf(pel38_7,negated_conjecture,
( big_p(M)
| big_p(sk1(M))
| big_p(sk5(N))
| ~ big_p(O)
| ~ big_p(a)
| ~ big_r(N,O) ) ).
cnf(pel38_8,negated_conjecture,
( big_p(P)
| big_p(sk1(P))
| big_r(Q,sk6(Q))
| ~ big_p(R)
| ~ big_p(a)
| ~ big_r(Q,R) ) ).
cnf(pel38_9,negated_conjecture,
( big_p(S)
| big_p(sk1(S))
| big_r(sk6(T),sk5(T))
| ~ big_p(U)
| ~ big_p(a)
| ~ big_r(T,U) ) ).
cnf(pel38_10,negated_conjecture,
( big_p(V)
| big_p(sk5(W))
| big_r(V,sk2(V))
| ~ big_p(X)
| ~ big_p(a)
| ~ big_r(W,X) ) ).
cnf(pel38_11,negated_conjecture,
( big_p(Y)
| big_r(Z,sk6(Z))
| big_r(Y,sk2(Y))
| ~ big_p(A1)
| ~ big_p(a)
| ~ big_r(Z,A1) ) ).
cnf(pel38_12,negated_conjecture,
( big_p(B1)
| big_r(B1,sk2(B1))
| big_r(sk6(C1),sk5(C1))
| ~ big_p(D1)
| ~ big_p(a)
| ~ big_r(C1,D1) ) ).
cnf(pel38_13,negated_conjecture,
( big_p(E1)
| big_p(F1)
| big_p(sk3(E1))
| big_r(sk2(F1),sk1(F1))
| ~ big_p(a) ) ).
cnf(pel38_14,negated_conjecture,
( big_p(G1)
| big_p(H1)
| big_r(G1,sk4(G1))
| big_r(sk2(H1),sk1(H1))
| ~ big_p(a) ) ).
cnf(pel38_15,negated_conjecture,
( big_p(I1)
| big_p(J1)
| big_r(sk2(J1),sk1(J1))
| big_r(sk4(I1),sk3(I1))
| ~ big_p(a) ) ).
cnf(pel38_16,negated_conjecture,
( big_p(K1)
| big_p(sk1(L1))
| big_p(sk3(K1))
| ~ big_p(M1)
| ~ big_p(a)
| ~ big_r(L1,M1) ) ).
cnf(pel38_17,negated_conjecture,
( big_p(N1)
| big_p(sk3(N1))
| big_r(O1,sk2(O1))
| ~ big_p(P1)
| ~ big_p(a)
| ~ big_r(O1,P1) ) ).
cnf(pel38_18,negated_conjecture,
( big_p(Q1)
| big_p(sk1(R1))
| big_r(Q1,sk4(Q1))
| ~ big_p(S1)
| ~ big_p(a)
| ~ big_r(R1,S1) ) ).
cnf(pel38_19,negated_conjecture,
( big_p(T1)
| big_r(T1,sk4(T1))
| big_r(U1,sk2(U1))
| ~ big_p(V1)
| ~ big_p(a)
| ~ big_r(U1,V1) ) ).
cnf(pel38_20,negated_conjecture,
( big_p(W1)
| big_p(sk3(W1))
| big_r(sk2(X1),sk1(X1))
| ~ big_p(Y1)
| ~ big_p(a)
| ~ big_r(X1,Y1) ) ).
cnf(pel38_21,negated_conjecture,
( big_p(Z1)
| big_r(Z1,sk4(Z1))
| big_r(sk2(A2),sk1(A2))
| ~ big_p(B2)
| ~ big_p(a)
| ~ big_r(A2,B2) ) ).
cnf(pel38_22,negated_conjecture,
( big_p(C2)
| big_p(sk1(D2))
| big_r(sk4(C2),sk3(C2))
| ~ big_p(E2)
| ~ big_p(a)
| ~ big_r(D2,E2) ) ).
cnf(pel38_23,negated_conjecture,
( big_p(F2)
| big_r(G2,sk2(G2))
| big_r(sk4(F2),sk3(F2))
| ~ big_p(H2)
| ~ big_p(a)
| ~ big_r(G2,H2) ) ).
cnf(pel38_24,negated_conjecture,
( big_p(I2)
| big_r(sk2(J2),sk1(J2))
| big_r(sk4(I2),sk3(I2))
| ~ big_p(K2)
| ~ big_p(a)
| ~ big_r(J2,K2) ) ).
cnf(pel38_25,negated_conjecture,
( big_p(L2)
| big_p(sk5(M2))
| big_r(sk2(L2),sk1(L2))
| ~ big_p(N2)
| ~ big_p(a)
| ~ big_r(M2,N2) ) ).
cnf(pel38_26,negated_conjecture,
( big_p(O2)
| big_r(P2,sk6(P2))
| big_r(sk2(O2),sk1(O2))
| ~ big_p(Q2)
| ~ big_p(a)
| ~ big_r(P2,Q2) ) ).
cnf(pel38_27,negated_conjecture,
( big_p(R2)
| big_r(sk2(R2),sk1(R2))
| big_r(sk6(S2),sk5(S2))
| ~ big_p(T2)
| ~ big_p(a)
| ~ big_r(S2,T2) ) ).
cnf(pel38_28,negated_conjecture,
( big_p(sk1(U2))
| big_p(sk5(V2))
| ~ big_p(W2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(V2,W2)
| ~ big_r(U2,X2) ) ).
cnf(pel38_29,negated_conjecture,
( big_p(sk5(Y2))
| big_r(Z2,sk2(Z2))
| ~ big_p(A3)
| ~ big_p(B3)
| ~ big_p(a)
| ~ big_r(Y2,A3)
| ~ big_r(Z2,B3) ) ).
cnf(pel38_30,negated_conjecture,
( big_p(sk1(C3))
| big_r(D3,sk6(D3))
| ~ big_p(E3)
| ~ big_p(F3)
| ~ big_p(a)
| ~ big_r(D3,E3)
| ~ big_r(C3,F3) ) ).
cnf(pel38_31,negated_conjecture,
( big_r(G3,sk6(G3))
| big_r(H3,sk2(H3))
| ~ big_p(I3)
| ~ big_p(J3)
| ~ big_p(a)
| ~ big_r(G3,I3)
| ~ big_r(H3,J3) ) ).
cnf(pel38_32,negated_conjecture,
( big_p(sk5(K3))
| big_r(sk2(L3),sk1(L3))
| ~ big_p(M3)
| ~ big_p(N3)
| ~ big_p(a)
| ~ big_r(K3,M3)
| ~ big_r(L3,N3) ) ).
cnf(pel38_33,negated_conjecture,
( big_r(O3,sk6(O3))
| big_r(sk2(P3),sk1(P3))
| ~ big_p(Q3)
| ~ big_p(R3)
| ~ big_p(a)
| ~ big_r(O3,Q3)
| ~ big_r(P3,R3) ) ).
cnf(pel38_34,negated_conjecture,
( big_p(sk1(S3))
| big_r(sk6(T3),sk5(T3))
| ~ big_p(U3)
| ~ big_p(V3)
| ~ big_p(a)
| ~ big_r(T3,U3)
| ~ big_r(S3,V3) ) ).
cnf(pel38_35,negated_conjecture,
( big_r(W3,sk2(W3))
| big_r(sk6(X3),sk5(X3))
| ~ big_p(Y3)
| ~ big_p(Z3)
| ~ big_p(a)
| ~ big_r(X3,Y3)
| ~ big_r(W3,Z3) ) ).
cnf(pel38_36,negated_conjecture,
( big_r(sk2(A4),sk1(A4))
| big_r(sk6(B4),sk5(B4))
| ~ big_p(C4)
| ~ big_p(D4)
| ~ big_p(a)
| ~ big_r(B4,C4)
| ~ big_r(A4,D4) ) ).
cnf(pel38_37,negated_conjecture,
big_p(a) ).
cnf(pel38_38,negated_conjecture,
( big_p(sk10)
| big_p(sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_39,negated_conjecture,
( big_p(sk8)
| big_r(sk9,sk10)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_40,negated_conjecture,
( big_p(sk10)
| big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_41,negated_conjecture,
( big_r(sk7,sk8)
| big_r(sk9,sk10)
| ~ big_p(sk7)
| ~ big_p(sk9) ) ).
cnf(pel38_42,negated_conjecture,
( big_p(sk8)
| ~ big_p(E4)
| ~ big_p(sk7)
| ~ big_r(F4,E4)
| ~ big_r(sk9,F4) ) ).
cnf(pel38_43,negated_conjecture,
( big_r(sk7,sk8)
| ~ big_p(G4)
| ~ big_p(sk7)
| ~ big_r(H4,G4)
| ~ big_r(sk9,H4) ) ).
cnf(pel38_44,negated_conjecture,
( big_p(sk10)
| ~ big_p(I4)
| ~ big_p(sk9)
| ~ big_r(J4,I4)
| ~ big_r(sk7,J4) ) ).
cnf(pel38_45,negated_conjecture,
( big_r(sk9,sk10)
| ~ big_p(K4)
| ~ big_p(sk9)
| ~ big_r(L4,K4)
| ~ big_r(sk7,L4) ) ).
cnf(pel38_46,negated_conjecture,
( ~ big_p(M4)
| ~ big_p(N4)
| ~ big_r(O4,M4)
| ~ big_r(P4,N4)
| ~ big_r(sk7,P4)
| ~ big_r(sk9,O4) ) ).
%--------------------------------------------------------------------------