%-------------------------------------------------------------------------- % File : SYN001-0 : TPTP v7.2.0. Released v1.0.0. % Domain : Syntactic (Random Prolog Theory) % Axioms : Synthetic domain theory for EBL % Version : [SE94] axioms : Especial. % English : % Refs : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B % Source : [SE94] % Names : % Status : Satisfiable % Syntax : Number of clauses : 368 ( 0 non-Horn; 38 unit; 361 RR) % Number of atoms : 1059 ( 0 equality) % Maximal clause size : 5 ( 3 average) % Number of predicates : 48 ( 0 propositional; 1-3 arity) % Number of functors : 5 ( 5 constant; 0-0 arity) % Number of variables : 626 ( 160 singleton) % Maximal term depth : 1 ( 1 average) % SPC : % Comments : This theory has a finite deductive closure. %-------------------------------------------------------------------------- %----Facts cnf(axiom_1,axiom, ( s0(d) )). cnf(axiom_2,axiom, ( q0(e,d) )). cnf(axiom_3,axiom, ( n0(d,e) )). cnf(axiom_4,axiom, ( m0(e,d,a) )). cnf(axiom_5,axiom, ( s0(b) )). cnf(axiom_6,axiom, ( q0(b,b) )). cnf(axiom_7,axiom, ( n0(d,b) )). cnf(axiom_8,axiom, ( m0(e,d,e) )). cnf(axiom_9,axiom, ( r0(b) )). cnf(axiom_10,axiom, ( p0(b,d) )). cnf(axiom_11,axiom, ( n0(e,b) )). cnf(axiom_12,axiom, ( m0(a,X,a) )). cnf(axiom_13,axiom, ( r0(e) )). cnf(axiom_14,axiom, ( p0(b,X) )). cnf(axiom_15,axiom, ( n0(a,b) )). cnf(axiom_16,axiom, ( m0(c,b,a) )). cnf(axiom_17,axiom, ( q0(X,d) )). cnf(axiom_18,axiom, ( p0(c,b) )). cnf(axiom_19,axiom, ( m0(X,d,Y) )). cnf(axiom_20,axiom, ( l0(a) )). cnf(axiom_21,axiom, ( q0(b,e) )). cnf(axiom_22,axiom, ( p0(b,c) )). cnf(axiom_23,axiom, ( m0(a,e,e) )). cnf(axiom_24,axiom, ( l0(c) )). cnf(axiom_25,axiom, ( q0(d,d) )). cnf(axiom_26,axiom, ( n0(d,c) )). cnf(axiom_27,axiom, ( m0(e,b,c) )). cnf(axiom_28,axiom, ( k0(e) )). cnf(axiom_29,axiom, ( q0(d,b) )). cnf(axiom_30,axiom, ( n0(e,e) )). cnf(axiom_31,axiom, ( m0(b,b,e) )). cnf(axiom_32,axiom, ( k0(b) )). cnf(axiom_33,axiom, ( q0(d,c) )). cnf(axiom_34,axiom, ( n0(c,d) )). cnf(axiom_35,axiom, ( m0(d,e,c) )). cnf(axiom_36,axiom, ( q0(a,b) )). cnf(axiom_37,axiom, ( n0(b,a) )). cnf(axiom_38,axiom, ( m0(b,a,a) )). %----Rules cnf(rule_001,axiom, ( k1(I) | ~ n0(J,I) )). cnf(rule_002,axiom, ( l1(G,G) | ~ n0(H,G) )). cnf(rule_003,axiom, ( l1(C,D) | ~ p0(E,C) | ~ r0(F) | ~ m0(D,C,E) )). cnf(rule_004,axiom, ( l1(A,A) | ~ k1(A) | ~ l0(B) | ~ l1(B,B) )). cnf(rule_005,axiom, ( m1(B,C,B) | ~ m0(C,C,B) )). cnf(rule_006,axiom, ( m1(J,J,J) | ~ m0(A,A,J) )). cnf(rule_007,axiom, ( m1(G,H,G) | ~ p0(I,H) | ~ r0(G) )). cnf(rule_008,axiom, ( m1(b,b,b) | ~ l0(b) )). cnf(rule_009,axiom, ( m1(D,D,D) | ~ s0(E) | ~ r0(E) | ~ q0(F,D) )). cnf(rule_010,axiom, ( m1(B,B,c) | ~ n0(C,C) | ~ l1(c,c) | ~ p0(C,B) )). cnf(rule_011,axiom, ( m1(J,J,A) | ~ k0(J) | ~ n0(A,A) )). cnf(rule_012,axiom, ( m1(e,e,e) | ~ r0(e) )). cnf(rule_013,axiom, ( m1(H,H,H) | ~ q0(I,H) )). cnf(rule_014,axiom, ( m1(E,E,E) | ~ m0(F,G,E) )). cnf(rule_015,axiom, ( m1(B,C,C) | ~ l0(D) | ~ m0(C,C,B) )). cnf(rule_016,axiom, ( m1(H,I,I) | ~ m1(J,I,H) | ~ m1(J,A,I) )). cnf(rule_017,axiom, ( m1(F,F,F) | ~ s0(F) | ~ q0(G,d) )). cnf(rule_018,axiom, ( m1(C,C,C) | ~ q0(D,E) | ~ q0(D,C) )). cnf(rule_019,axiom, ( m1(A,B,c) | ~ r0(c) | ~ s0(d) | ~ q0(B,d) | ~ p0(A,B) )). cnf(rule_020,axiom, ( m1(c,c,c) | ~ l0(c) )). cnf(rule_021,axiom, ( m1(I,J,I) | ~ l0(I) | ~ k0(J) )). cnf(rule_022,axiom, ( m1(e,e,e) | ~ s0(e) )). cnf(rule_023,axiom, ( m1(a,a,a) | ~ l0(a) | ~ s0(d) )). cnf(rule_024,axiom, ( m1(F,a,G) | ~ m0(a,H,a) | ~ q0(F,G) | ~ m1(G,c,G) )). cnf(rule_025,axiom, ( m1(C,C,C) | ~ m0(D,E,C) )). cnf(rule_026,axiom, ( m1(A,A,A) | ~ l0(A) | ~ l0(B) | ~ p0(B,d) )). cnf(rule_027,axiom, ( m1(b,b,b) | ~ q0(c,d) | ~ l1(a,b) )). cnf(rule_028,axiom, ( m1(J,J,J) | ~ l0(J) | ~ k0(J) | ~ m0(J,J,J) )). cnf(rule_029,axiom, ( m1(H,I,H) | ~ p0(H,I) | ~ s0(H) )). cnf(rule_030,axiom, ( m1(e,e,e) | ~ r0(e) )). cnf(rule_031,axiom, ( m1(c,a,c) | ~ r0(e) | ~ m0(a,e,c) | ~ r0(G) | ~ k0(e) )). cnf(rule_032,axiom, ( m1(F,F,F) | ~ s0(F) )). cnf(rule_033,axiom, ( m1(C,C,C) | ~ q0(D,D) | ~ m1(E,D,C) )). cnf(rule_034,axiom, ( m1(A,B,B) | ~ k1(a) | ~ k1(B) | ~ q0(A,A) )). cnf(rule_035,axiom, ( m1(I,J,I) | ~ r0(I) | ~ l0(J) )). cnf(rule_036,axiom, ( n1(A,A,B) | ~ m0(b,B,A) )). cnf(rule_037,axiom, ( n1(H,I,H) | ~ p0(J,H) | ~ l0(I) | ~ r0(H) )). cnf(rule_038,axiom, ( n1(G,G,G) | ~ n0(G,G) | ~ q0(a,G) )). cnf(rule_039,axiom, ( n1(E,c,E) | ~ m0(F,E,c) )). cnf(rule_040,axiom, ( n1(C,e,e) | ~ m0(C,D,e) | ~ k1(C) )). cnf(rule_041,axiom, ( n1(e,e,B) | ~ s0(b) | ~ m1(b,B,e) )). cnf(rule_042,axiom, ( n1(H,H,H) | ~ m0(I,J,I) | ~ k0(H) | ~ q0(A,J) )). cnf(rule_043,axiom, ( n1(G,G,G) | ~ k1(G) | ~ p0(G,G) )). cnf(rule_044,axiom, ( n1(D,E,D) | ~ p0(D,D) | ~ p0(E,F) )). cnf(rule_045,axiom, ( n1(d,d,d) | ~ q0(d,d) )). cnf(rule_046,axiom, ( n1(A,A,A) | ~ m1(B,C,A) | ~ k0(B) )). cnf(rule_047,axiom, ( n1(I,d,J) | ~ p0(J,J) | ~ r0(I) | ~ l1(J,d) )). cnf(rule_048,axiom, ( n1(F,F,F) | ~ m0(G,H,H) | ~ m0(H,F,G) | ~ n1(F,F,F) )). cnf(rule_049,axiom, ( n1(c,c,c) | ~ l0(c) )). cnf(rule_050,axiom, ( n1(D,E,D) | ~ s0(b) | ~ l0(D) | ~ p0(b,E) )). cnf(rule_051,axiom, ( n1(B,B,B) | ~ m1(c,B,C) | ~ m0(b,C,c) | ~ n1(C,B,C) )). cnf(rule_052,axiom, ( n1(I,I,I) | ~ m0(J,J,J) | ~ k1(I) | ~ s0(I) | ~ p0(A,J) )). cnf(rule_053,axiom, ( n1(a,H,b) | ~ p0(H,d) | ~ p0(a,b) )). cnf(rule_054,axiom, ( n1(E,F,F) | ~ l0(G) | ~ l1(G,E) | ~ n1(E,F,E) )). cnf(rule_055,axiom, ( n1(d,e,e) | ~ p0(d,d) | ~ n1(e,e,e) | ~ r0(b) )). cnf(rule_056,axiom, ( n1(a,a,a) | ~ l0(a) | ~ r0(a) )). cnf(rule_057,axiom, ( n1(D,D,D) | ~ r0(D) )). cnf(rule_058,axiom, ( n1(B,B,B) | ~ l1(C,B) | ~ n0(C,B) )). cnf(rule_059,axiom, ( n1(H,H,I) | ~ m0(J,A,A) | ~ m0(I,J,H) )). cnf(rule_060,axiom, ( n1(d,d,b) | ~ q0(b,e) | ~ m1(d,e,e) | ~ k0(b) )). cnf(rule_061,axiom, ( n1(G,G,G) | ~ k0(G) | ~ s0(G) )). cnf(rule_062,axiom, ( n1(D,D,D) | ~ m0(E,E,F) | ~ n1(E,D,E) )). cnf(rule_063,axiom, ( p1(D,D,E) | ~ n0(d,D) | ~ k0(E) )). cnf(rule_064,axiom, ( p1(A,A,A) | ~ m0(B,C,b) | ~ l0(A) )). cnf(rule_065,axiom, ( p1(I,I,I) | ~ l1(J,J) | ~ p0(I,J) | ~ n0(J,J) )). cnf(rule_066,axiom, ( p1(G,G,G) | ~ n0(H,G) )). cnf(rule_067,axiom, ( p1(E,E,E) | ~ q0(F,E) )). cnf(rule_068,axiom, ( p1(D,D,D) | ~ k0(D) )). cnf(rule_069,axiom, ( p1(B,B,C) | ~ p0(C,B) )). cnf(rule_070,axiom, ( p1(c,c,c) | ~ p0(a,c) )). cnf(rule_071,axiom, ( p1(H,I,H) | ~ l0(J) | ~ p1(I,A,H) | ~ s0(b) )). cnf(rule_072,axiom, ( p1(F,F,F) | ~ s0(G) | ~ s0(F) )). cnf(rule_073,axiom, ( p1(D,D,D) | ~ n0(e,b) | ~ k0(b) | ~ k0(D) | ~ k1(E) )). cnf(rule_074,axiom, ( p1(B,B,C) | ~ p0(C,B) | ~ r0(B) )). cnf(rule_075,axiom, ( p1(a,a,a) | ~ p0(b,a) )). cnf(rule_076,axiom, ( p1(b,b,b) | ~ p1(b,b,b) | ~ s0(d) )). cnf(rule_077,axiom, ( p1(c,e,b) | ~ m0(b,c,e) )). cnf(rule_078,axiom, ( p1(d,d,b) | ~ p0(d,b) | ~ m0(e,a,a) )). cnf(rule_079,axiom, ( p1(A,A,A) | ~ k0(e) | ~ k1(A) | ~ l0(c) )). cnf(rule_080,axiom, ( p1(G,G,G) | ~ n0(H,H) | ~ l0(I) | ~ n1(H,J,G) )). cnf(rule_081,axiom, ( p1(B,B,B) | ~ m1(C,D,B) | ~ q0(D,E) | ~ l0(F) )). cnf(rule_082,axiom, ( p1(H,I,J) | ~ m0(J,H,A) | ~ p1(J,H,A) )). cnf(rule_083,axiom, ( p1(F,b,G) | ~ m1(F,G,b) | ~ k0(G) )). cnf(rule_084,axiom, ( p1(D,D,D) | ~ m0(b,E,b) | ~ l1(D,b) )). cnf(rule_085,axiom, ( p1(B,B,B) | ~ p0(C,B) )). cnf(rule_086,axiom, ( p1(I,I,I) | ~ l0(I) | ~ m0(J,A,I) )). cnf(rule_087,axiom, ( p1(a,b,a) | ~ r0(b) | ~ p1(a,a,a) )). cnf(rule_088,axiom, ( p1(a,a,a) | ~ l0(a) )). cnf(rule_089,axiom, ( p1(d,d,H) | ~ s0(H) | ~ n1(c,d,H) | ~ r0(d) | ~ n0(c,H) )). cnf(rule_090,axiom, ( p1(e,e,e) | ~ r0(e) | ~ k0(e) )). cnf(rule_091,axiom, ( p1(C,C,C) | ~ q0(D,E) | ~ k1(F) | ~ n1(D,C,G) )). cnf(rule_092,axiom, ( q1(J,A,J) | ~ n0(B,A) | ~ p0(C,J) )). cnf(rule_093,axiom, ( q1(H,H,H) | ~ q0(I,H) )). cnf(rule_094,axiom, ( q1(b,e,e) | ~ s0(e) | ~ k0(b) | ~ l0(c) )). cnf(rule_095,axiom, ( q1(F,G,G) | ~ p0(G,F) )). cnf(rule_096,axiom, ( q1(B,B,B) | ~ n1(C,D,D) | ~ p0(C,E) | ~ m1(B,D,C) | ~ q1(E,C,D) )). cnf(rule_097,axiom, ( q1(A,A,A) | ~ s0(A) )). cnf(rule_098,axiom, ( q1(H,H,H) | ~ s0(H) | ~ m0(I,I,J) )). cnf(rule_099,axiom, ( q1(E,F,F) | ~ k0(G) | ~ l0(E) | ~ q1(F,F,G) )). cnf(rule_100,axiom, ( q1(C,C,C) | ~ n0(D,C) )). cnf(rule_101,axiom, ( q1(B,B,B) | ~ k1(B) | ~ q0(B,b) | ~ p1(b,b,B) )). cnf(rule_102,axiom, ( q1(J,J,J) | ~ k0(J) | ~ l0(A) )). cnf(rule_103,axiom, ( q1(I,I,I) | ~ m0(I,c,b) )). cnf(rule_104,axiom, ( q1(E,F,E) | ~ l0(E) | ~ r0(G) | ~ p0(H,E) | ~ q0(F,F) )). cnf(rule_105,axiom, ( q1(C,C,D) | ~ s0(C) | ~ p0(D,d) )). cnf(rule_106,axiom, ( q1(B,B,B) | ~ s0(B) )). cnf(rule_107,axiom, ( q1(e,A,A) | ~ m0(A,d,A) | ~ m0(e,d,A) )). cnf(rule_108,axiom, ( q1(H,H,H) | ~ p0(I,J) | ~ p1(H,b,b) | ~ q0(b,b) )). cnf(rule_109,axiom, ( q1(E,E,F) | ~ p0(G,G) | ~ q0(F,E) | ~ k1(E) )). cnf(rule_110,axiom, ( q1(B,B,B) | ~ m0(C,D,B) )). cnf(rule_111,axiom, ( q1(d,d,c) | ~ m0(c,b,a) | ~ m1(c,d,a) )). cnf(rule_112,axiom, ( q1(A,A,A) | ~ k1(A) | ~ s0(b) )). cnf(rule_113,axiom, ( q1(H,H,I) | ~ r0(J) | ~ m1(H,I,I) )). cnf(rule_114,axiom, ( q1(F,F,F) | ~ m0(F,F,G) | ~ k0(G) )). cnf(rule_115,axiom, ( q1(b,b,b) | ~ l0(b) )). cnf(rule_116,axiom, ( q1(E,E,E) | ~ r0(E) )). cnf(rule_117,axiom, ( q1(d,d,d) | ~ k0(e) | ~ s0(d) )). cnf(rule_118,axiom, ( q1(C,C,C) | ~ p0(b,d) | ~ s0(b) | ~ n1(D,d,C) )). cnf(rule_119,axiom, ( q1(B,b,b) | ~ s0(B) | ~ s0(b) )). cnf(rule_120,axiom, ( q1(b,b,b) | ~ r0(b) )). cnf(rule_121,axiom, ( q1(I,I,I) | ~ m0(J,A,I) )). cnf(rule_122,axiom, ( q1(G,G,G) | ~ m0(G,H,G) )). cnf(rule_123,axiom, ( q1(F,F,F) | ~ m0(c,F,F) | ~ r0(F) )). cnf(rule_124,axiom, ( r1(D) | ~ q0(D,E) | ~ s0(d) | ~ q1(d,E,d) )). cnf(rule_125,axiom, ( s1(I) | ~ p0(I,I) )). cnf(rule_126,axiom, ( s1(F) | ~ q0(F,G) | ~ s1(H) )). cnf(rule_127,axiom, ( k2(C,D) | ~ m1(E,D,C) | ~ k1(F) | ~ k2(F,D) )). cnf(rule_128,axiom, ( k2(B,B) | ~ n1(e,d,B) | ~ m1(B,e,B) | ~ q1(B,B,d) )). cnf(rule_129,axiom, ( k2(J,J) | ~ q1(A,J,J) )). cnf(rule_130,axiom, ( k2(e,e) | ~ l1(e,e) )). cnf(rule_131,axiom, ( l2(D,E) | ~ s1(D) | ~ n0(e,E) | ~ l2(E,E) )). cnf(rule_132,axiom, ( l2(c,c) | ~ l2(c,c) | ~ l1(e,e) )). cnf(rule_133,axiom, ( l2(J,J) | ~ p0(A,A) | ~ s1(B) | ~ m0(C,B,J) )). cnf(rule_134,axiom, ( l2(G,G) | ~ m0(H,G,I) | ~ m1(I,H,H) | ~ p0(H,G) )). cnf(rule_135,axiom, ( m2(F) | ~ s0(F) | ~ l1(G,H) )). cnf(rule_136,axiom, ( m2(b) | ~ k1(b) )). cnf(rule_137,axiom, ( n2(A) | ~ p1(B,C,A) )). cnf(rule_138,axiom, ( n2(a) | ~ m1(b,a,e) | ~ k1(c) | ~ n1(e,a,e) | ~ q1(c,a,d) )). cnf(rule_139,axiom, ( n2(c) | ~ l1(e,c) | ~ k0(b) )). cnf(rule_140,axiom, ( n2(e) | ~ r1(b) | ~ r0(e) | ~ p1(b,I,J) )). cnf(rule_141,axiom, ( p2(B,a,B) | ~ q1(B,a,B) )). cnf(rule_142,axiom, ( p2(J,J,J) | ~ k1(A) | ~ k0(A) | ~ l2(a,A) | ~ k2(J,a) )). cnf(rule_143,axiom, ( p2(c,e,e) | ~ l1(c,b) | ~ q1(e,e,e) )). cnf(rule_144,axiom, ( p2(b,c,a) | ~ r0(e) | ~ n1(c,I,I) | ~ p0(b,I) | ~ k2(c,a) )). cnf(rule_145,axiom, ( p2(e,G,H) | ~ r0(e) | ~ p1(G,H,e) )). cnf(rule_146,axiom, ( p2(C,D,D) | ~ p1(C,E,F) | ~ l1(E,F) | ~ p2(C,D,C) )). cnf(rule_147,axiom, ( p2(e,c,c) | ~ r1(d) | ~ l1(e,c) )). cnf(rule_148,axiom, ( p2(J,J,J) | ~ m1(A,B,J) | ~ p2(A,J,A) )). cnf(rule_149,axiom, ( p2(H,H,d) | ~ r1(a) | ~ m0(I,H,d) )). cnf(rule_150,axiom, ( p2(F,F,F) | ~ m1(G,G,F) )). cnf(rule_151,axiom, ( p2(d,d,d) | ~ k1(d) | ~ s0(d) )). cnf(rule_152,axiom, ( p2(C,D,D) | ~ n1(E,D,E) | ~ p0(C,D) | ~ p2(C,D,C) )). cnf(rule_153,axiom, ( p2(B,B,B) | ~ n1(d,d,B) )). cnf(rule_154,axiom, ( p2(A,A,A) | ~ q1(A,A,A) )). cnf(rule_155,axiom, ( p2(H,I,I) | ~ k1(J) | ~ p2(e,H,I) )). cnf(rule_156,axiom, ( p2(F,e,G) | ~ n1(e,F,a) | ~ q1(a,G,F) )). cnf(rule_157,axiom, ( p2(E,E,E) | ~ l1(E,d) )). cnf(rule_158,axiom, ( p2(B,B,C) | ~ q1(c,B,D) | ~ s1(c) | ~ s0(e) | ~ p2(B,D,B) )). cnf(rule_159,axiom, ( p2(A,A,A) | ~ k1(A) )). cnf(rule_160,axiom, ( p2(H,H,H) | ~ m1(a,a,I) | ~ p2(a,J,H) )). cnf(rule_161,axiom, ( p2(d,b,b) | ~ p1(d,b,e) )). cnf(rule_162,axiom, ( p2(b,c,c) | ~ p1(G,b,b) | ~ n1(e,e,G) | ~ q1(e,c,G) )). cnf(rule_163,axiom, ( p2(E,E,E) | ~ q1(F,c,F) | ~ k2(E,c) )). cnf(rule_164,axiom, ( p2(B,B,B) | ~ p0(B,B) | ~ r1(C) | ~ p2(D,C,B) )). cnf(rule_165,axiom, ( p2(I,I,I) | ~ q1(J,A,J) | ~ p2(J,J,A) )). cnf(rule_166,axiom, ( p2(a,H,d) | ~ n0(H,d) | ~ m1(a,H,d) )). cnf(rule_167,axiom, ( p2(G,G,G) | ~ s1(G) | ~ k1(G) )). cnf(rule_168,axiom, ( p2(a,c,b) | ~ l1(e,c) | ~ l2(e,b) | ~ r1(e) | ~ m1(d,a,c) )). cnf(rule_169,axiom, ( p2(D,D,D) | ~ q1(E,E,E) | ~ p1(D,F,D) )). cnf(rule_170,axiom, ( p2(C,e,C) | ~ n1(C,e,e) )). cnf(rule_171,axiom, ( p2(A,A,A) | ~ n1(B,B,B) | ~ p0(A,A) )). cnf(rule_172,axiom, ( p2(a,a,a) | ~ p1(e,e,a) )). cnf(rule_173,axiom, ( p2(I,I,I) | ~ r1(J) | ~ r0(I) )). cnf(rule_174,axiom, ( p2(H,H,H) | ~ n2(H) | ~ k1(e) )). cnf(rule_175,axiom, ( p2(F,F,F) | ~ l1(G,F) )). cnf(rule_176,axiom, ( p2(D,E,D) | ~ m1(E,D,E) )). cnf(rule_177,axiom, ( q2(E,F,F) | ~ k0(F) | ~ p1(E,E,E) )). cnf(rule_178,axiom, ( q2(B,B,B) | ~ q0(C,B) | ~ n1(C,B,D) )). cnf(rule_179,axiom, ( q2(J,J,J) | ~ k1(A) | ~ n1(J,J,A) )). cnf(rule_180,axiom, ( q2(d,a,a) | ~ q2(d,c,a) | ~ s1(c) | ~ q0(e,c) )). cnf(rule_181,axiom, ( q2(I,I,I) | ~ p1(I,I,I) )). cnf(rule_182,axiom, ( q2(F,G,F) | ~ p1(F,F,H) | ~ n1(G,F,H) | ~ q2(G,H,F) )). cnf(rule_183,axiom, ( q2(D,c,E) | ~ k1(E) | ~ l0(c) | ~ l2(E,D) )). cnf(rule_184,axiom, ( q2(B,B,B) | ~ q1(C,c,B) )). cnf(rule_185,axiom, ( q2(I,I,I) | ~ n1(J,d,A) | ~ k1(I) | ~ q2(A,A,J) )). cnf(rule_186,axiom, ( q2(G,G,H) | ~ l1(H,G) )). cnf(rule_187,axiom, ( q2(C,D,C) | ~ r1(D) | ~ m0(E,F,C) | ~ k0(D) | ~ q2(D,D,D) )). cnf(rule_188,axiom, ( r2(G) | ~ r1(G) | ~ l0(G) )). cnf(rule_189,axiom, ( s2(H) | ~ q2(b,H,b) | ~ s1(b) )). cnf(rule_190,axiom, ( s2(d) | ~ s1(a) | ~ s0(d) )). cnf(rule_191,axiom, ( s2(d) | ~ r1(d) | ~ s1(d) )). cnf(rule_192,axiom, ( k3(J,A,J) | ~ s1(A) | ~ p2(B,A,C) | ~ n0(J,C) )). cnf(rule_193,axiom, ( k3(H,H,H) | ~ s1(H) | ~ q2(d,I,d) | ~ s2(I) )). cnf(rule_194,axiom, ( k3(F,F,G) | ~ k2(G,F) )). cnf(rule_195,axiom, ( k3(c,c,c) | ~ s2(e) | ~ k2(c,e) )). cnf(rule_196,axiom, ( k3(C,C,C) | ~ p2(D,E,D) | ~ m1(C,C,E) )). cnf(rule_197,axiom, ( k3(A,A,A) | ~ l2(B,b) | ~ k1(A) )). cnf(rule_198,axiom, ( k3(c,c,c) | ~ k0(a) | ~ r2(c) )). cnf(rule_199,axiom, ( k3(I,J,J) | ~ l1(J,I) | ~ k3(I,J,J) )). cnf(rule_200,axiom, ( k3(F,F,F) | ~ p2(G,H,e) | ~ s1(G) | ~ k3(F,G,G) )). cnf(rule_201,axiom, ( k3(B,B,C) | ~ p1(C,D,B) | ~ m2(E) | ~ m2(D) )). cnf(rule_202,axiom, ( k3(G,G,H) | ~ q0(I,H) | ~ k2(G,J) | ~ k3(H,A,J) )). cnf(rule_203,axiom, ( k3(d,d,d) | ~ p1(a,d,b) | ~ r2(a) | ~ l2(e,b) )). cnf(rule_204,axiom, ( k3(a,a,a) | ~ r2(a) )). cnf(rule_205,axiom, ( k3(E,E,E) | ~ p2(F,E,E) )). cnf(rule_206,axiom, ( k3(C,D,C) | ~ p2(D,C,C) )). cnf(rule_207,axiom, ( k3(J,J,J) | ~ p0(A,J) | ~ k3(J,J,J) | ~ k3(A,J,B) )). cnf(rule_208,axiom, ( k3(I,I,I) | ~ r2(c) | ~ l1(b,I) )). cnf(rule_209,axiom, ( k3(E,E,E) | ~ m2(F) | ~ l1(G,H) | ~ s2(E) | ~ k3(G,H,G) )). cnf(rule_210,axiom, ( k3(D,D,D) | ~ n2(D) )). cnf(rule_211,axiom, ( k3(C,C,C) | ~ l0(C) | ~ r2(e) | ~ r0(e) )). cnf(rule_212,axiom, ( k3(B,B,B) | ~ m2(B) )). cnf(rule_213,axiom, ( k3(I,I,I) | ~ r1(I) | ~ p2(J,A,A) )). cnf(rule_214,axiom, ( k3(c,c,c) | ~ r2(c) )). cnf(rule_215,axiom, ( l3(G,H) | ~ r0(G) | ~ p2(G,H,G) )). cnf(rule_216,axiom, ( l3(D,D) | ~ p1(D,D,E) | ~ p2(E,F,D) )). cnf(rule_217,axiom, ( l3(C,C) | ~ n2(C) | ~ m2(b) )). cnf(rule_218,axiom, ( l3(B,B) | ~ r2(B) )). cnf(rule_219,axiom, ( l3(I,I) | ~ n2(J) | ~ l1(A,I) | ~ l3(A,A) )). cnf(rule_220,axiom, ( l3(G,G) | ~ s2(H) | ~ l1(G,G) )). cnf(rule_221,axiom, ( l3(d,d) | ~ k2(a,d) )). cnf(rule_222,axiom, ( l3(D,D) | ~ k3(E,D,D) | ~ l2(F,F) )). cnf(rule_223,axiom, ( l3(c,c) | ~ k2(b,c) )). cnf(rule_224,axiom, ( l3(d,c) | ~ s2(d) | ~ k3(a,c,a) | ~ r0(b) )). cnf(rule_225,axiom, ( m3(J,A,J) | ~ m0(B,B,A) | ~ l2(C,J) | ~ m0(J,C,C) | ~ s2(B) )). cnf(rule_226,axiom, ( m3(G,G,G) | ~ k2(H,I) | ~ m3(G,I,G) | ~ n0(I,a) | ~ l2(a,a) )). cnf(rule_227,axiom, ( m3(C,C,C) | ~ q0(D,E) | ~ s0(F) | ~ s2(E) | ~ r2(C) )). cnf(rule_228,axiom, ( m3(J,A,A) | ~ n2(J) | ~ m2(A) | ~ m3(B,J,B) )). cnf(rule_229,axiom, ( m3(b,b,b) | ~ q2(a,b,a) )). cnf(rule_230,axiom, ( m3(c,b,d) | ~ l1(d,b) | ~ m2(d) | ~ q2(b,c,d) )). cnf(rule_231,axiom, ( m3(H,I,H) | ~ r2(H) | ~ k2(c,I) )). cnf(rule_232,axiom, ( m3(G,G,G) | ~ l2(G,G) | ~ n2(G) )). cnf(rule_233,axiom, ( m3(E,E,E) | ~ n2(E) | ~ m2(F) )). cnf(rule_234,axiom, ( m3(D,e,e) | ~ n2(e) | ~ p2(D,e,e) )). cnf(rule_235,axiom, ( m3(B,B,C) | ~ r2(C) | ~ k3(B,C,B) )). cnf(rule_236,axiom, ( m3(A,A,A) | ~ n2(A) )). cnf(rule_237,axiom, ( m3(J,c,J) | ~ s2(c) | ~ q2(J,c,c) )). cnf(rule_238,axiom, ( m3(I,I,I) | ~ p2(I,I,I) )). cnf(rule_239,axiom, ( m3(b,b,b) | ~ l2(a,b) )). cnf(rule_240,axiom, ( n3(D) | ~ p2(E,F,D) )). cnf(rule_241,axiom, ( p3(C,D,E) | ~ q2(F,d,C) | ~ k2(D,E) )). cnf(rule_242,axiom, ( p3(J,A,B) | ~ r2(A) | ~ k3(A,B,J) )). cnf(rule_243,axiom, ( p3(I,d,e) | ~ l3(b,e) | ~ p2(d,b,c) | ~ n3(I) | ~ q2(I,d,I) )). cnf(rule_244,axiom, ( p3(H,H,H) | ~ n2(H) )). cnf(rule_245,axiom, ( p3(E,E,E) | ~ l1(F,F) | ~ l3(F,E) | ~ p3(G,G,F) )). cnf(rule_246,axiom, ( p3(D,D,D) | ~ l2(D,D) )). cnf(rule_247,axiom, ( p3(A,A,A) | ~ n2(A) | ~ q2(B,C,A) | ~ s1(B) )). cnf(rule_248,axiom, ( p3(I,I,I) | ~ p2(J,I,I) | ~ n3(I) )). cnf(rule_249,axiom, ( p3(H,H,H) | ~ k1(H) | ~ n2(H) )). cnf(rule_250,axiom, ( p3(E,E,E) | ~ k1(E) | ~ q2(F,G,E) )). cnf(rule_251,axiom, ( p3(A,B,B) | ~ m3(B,C,D) | ~ p2(A,B,D) )). cnf(rule_252,axiom, ( p3(H,H,H) | ~ q0(I,H) | ~ k2(J,J) )). cnf(rule_253,axiom, ( p3(b,c,b) | ~ k2(c,b) )). cnf(rule_254,axiom, ( p3(e,b,e) | ~ m3(e,G,e) | ~ q2(G,G,b) )). cnf(rule_255,axiom, ( q3(G,H) | ~ q2(I,G,H) | ~ n0(I,G) )). cnf(rule_256,axiom, ( q3(E,E) | ~ p2(F,E,E) | ~ q3(F,E) )). cnf(rule_257,axiom, ( q3(B,C) | ~ n1(D,B,C) | ~ s2(B) | ~ q3(C,B) )). cnf(rule_258,axiom, ( q3(I,I) | ~ r2(I) | ~ s1(J) | ~ l2(A,A) )). cnf(rule_259,axiom, ( q3(G,G) | ~ m0(H,d,H) | ~ k1(G) | ~ r2(d) | ~ q3(H,G) )). cnf(rule_260,axiom, ( r3(G,H,H) | ~ s2(H) | ~ l2(c,G) )). cnf(rule_261,axiom, ( r3(D,D,D) | ~ l1(E,F) | ~ n1(F,F,F) | ~ r2(D) )). cnf(rule_262,axiom, ( r3(A,A,A) | ~ p1(B,C,A) | ~ l2(C,B) | ~ r3(A,B,A) )). cnf(rule_263,axiom, ( r3(I,I,I) | ~ m0(d,J,I) | ~ r3(I,I,J) )). cnf(rule_264,axiom, ( r3(H,H,H) | ~ s2(H) )). cnf(rule_265,axiom, ( r3(F,F,F) | ~ l2(G,F) )). cnf(rule_266,axiom, ( r3(E,E,E) | ~ r2(E) )). cnf(rule_267,axiom, ( r3(B,C,B) | ~ p2(B,D,C) )). cnf(rule_268,axiom, ( r3(H,H,I) | ~ m2(I) | ~ m3(J,b,H) | ~ r3(I,A,A) )). cnf(rule_269,axiom, ( r3(a,a,e) | ~ k2(a,a) | ~ q2(G,e,G) | ~ m2(b) | ~ m3(a,G,G) )). cnf(rule_270,axiom, ( r3(F,b,F) | ~ r0(F) | ~ p2(b,F,b) | ~ l2(F,F) )). cnf(rule_271,axiom, ( r3(C,C,C) | ~ p3(D,C,E) | ~ r3(D,D,D) )). cnf(rule_272,axiom, ( r3(J,A,B) | ~ k2(A,B) | ~ r2(B) | ~ r3(B,J,J) )). cnf(rule_273,axiom, ( s3(I,J) | ~ q2(A,I,A) | ~ s2(I) | ~ m0(A,B,J) )). cnf(rule_274,axiom, ( k4(c) | ~ n0(c,d) | ~ q3(e,b) | ~ n3(e) )). cnf(rule_275,axiom, ( k4(E) | ~ k3(F,F,F) | ~ n0(G,F) | ~ k4(E) )). cnf(rule_276,axiom, ( k4(e) | ~ q3(C,C) | ~ q1(a,a,D) | ~ r3(C,e,D) )). cnf(rule_277,axiom, ( l4(J) | ~ p3(A,B,J) )). cnf(rule_278,axiom, ( l4(H) | ~ m0(I,H,H) | ~ l4(I) )). cnf(rule_279,axiom, ( m4(E,F) | ~ l2(G,F) | ~ s3(a,E) )). cnf(rule_280,axiom, ( m4(C,C) | ~ p3(D,D,D) | ~ m3(C,C,D) | ~ m4(C,C) )). cnf(rule_281,axiom, ( n4(J,A) | ~ p3(J,A,A) | ~ n4(J,J) )). cnf(rule_282,axiom, ( n4(d,d) | ~ k3(c,c,e) | ~ q1(d,d,d) )). cnf(rule_283,axiom, ( n4(e,e) | ~ l3(b,a) | ~ p3(b,e,a) )). cnf(rule_284,axiom, ( n4(H,H) | ~ k4(I) | ~ m3(H,H,H) )). cnf(rule_285,axiom, ( p4(G,G,H) | ~ r0(G) | ~ r3(H,G,H) )). cnf(rule_286,axiom, ( p4(D,D,D) | ~ q3(E,F) | ~ n3(D) )). cnf(rule_287,axiom, ( p4(B,C,B) | ~ k3(B,B,C) )). cnf(rule_288,axiom, ( p4(H,I,I) | ~ r3(I,I,H) | ~ p4(J,J,A) )). cnf(rule_289,axiom, ( p4(D,D,D) | ~ l4(D) | ~ n0(D,E) | ~ p4(F,G,F) )). cnf(rule_290,axiom, ( p4(A,A,A) | ~ m3(B,C,A) | ~ p4(A,C,A) )). cnf(rule_291,axiom, ( p4(I,I,I) | ~ p3(J,J,I) )). cnf(rule_292,axiom, ( p4(F,F,F) | ~ k3(G,H,H) | ~ n4(F,H) | ~ p1(H,G,F) )). cnf(rule_293,axiom, ( p4(C,C,C) | ~ q3(D,E) | ~ n4(E,C) | ~ l3(D,D) )). cnf(rule_294,axiom, ( p4(c,c,B) | ~ n3(a) | ~ m3(B,c,a) )). cnf(rule_295,axiom, ( q4(B,C) | ~ k3(D,D,B) | ~ q2(E,C,B) | ~ m3(E,F,E) )). cnf(rule_296,axiom, ( q4(I,I) | ~ r1(I) | ~ l4(J) | ~ q4(J,A) )). cnf(rule_297,axiom, ( q4(b,b) | ~ k3(c,e,b) | ~ l1(b,c) )). cnf(rule_298,axiom, ( r4(G) | ~ n3(G) | ~ q3(H,I) | ~ p0(J,G) )). cnf(rule_299,axiom, ( s4(A) | ~ p3(B,C,D) | ~ l1(A,C) )). cnf(rule_300,axiom, ( k5(E) | ~ s4(F) | ~ r3(G,E,E) )). cnf(rule_301,axiom, ( k5(b) | ~ s4(e) | ~ n1(b,b,b) )). cnf(rule_302,axiom, ( l5(H) | ~ q4(I,I) | ~ k1(H) )). cnf(rule_303,axiom, ( m5(D,E) | ~ r0(D) | ~ p4(D,F,E) )). cnf(rule_304,axiom, ( m5(C,C) | ~ k4(C) )). cnf(rule_305,axiom, ( m5(B,B) | ~ s4(B) | ~ m4(e,e) )). cnf(rule_306,axiom, ( m5(J,J) | ~ s4(A) | ~ r0(J) )). cnf(rule_307,axiom, ( n5(B,C) | ~ q4(D,E) | ~ n4(B,E) | ~ p4(F,F,C) | ~ n5(F,C) )). cnf(rule_308,axiom, ( n5(J,J) | ~ m0(A,J,A) | ~ n5(A,J) )). cnf(rule_309,axiom, ( n5(H,H) | ~ n4(I,H) )). cnf(rule_310,axiom, ( n5(E,E) | ~ p0(E,F) | ~ m4(G,G) | ~ k5(d) )). cnf(rule_311,axiom, ( n5(d,d) | ~ p4(c,d,c) )). cnf(rule_312,axiom, ( n5(b,e) | ~ r3(d,b,c) | ~ n4(b,e) )). cnf(rule_313,axiom, ( n5(C,C) | ~ q4(D,C) )). cnf(rule_314,axiom, ( n5(B,B) | ~ r4(B) )). cnf(rule_315,axiom, ( n5(A,A) | ~ s1(A) | ~ k4(A) )). cnf(rule_316,axiom, ( n5(H,H) | ~ p4(I,H,H) | ~ s1(H) | ~ p4(b,b,J) )). cnf(rule_317,axiom, ( n5(d,G) | ~ k3(d,G,a) | ~ n4(G,d) )). cnf(rule_318,axiom, ( p5(E,E,F) | ~ s4(F) | ~ l2(E,E) )). cnf(rule_319,axiom, ( p5(B,C,C) | ~ l2(B,D) | ~ p5(B,D,B) | ~ m4(D,C) )). cnf(rule_320,axiom, ( p5(I,J,I) | ~ q4(J,A) | ~ s1(I) )). cnf(rule_321,axiom, ( p5(b,b,b) | ~ p4(G,G,H) | ~ k5(b) )). cnf(rule_322,axiom, ( q5(J,A) | ~ s4(J) | ~ m2(A) )). cnf(rule_323,axiom, ( q5(a,a) | ~ r4(a) )). cnf(rule_324,axiom, ( q5(I,I) | ~ l4(I) )). cnf(rule_325,axiom, ( q5(H,H) | ~ q4(H,H) )). cnf(rule_326,axiom, ( q5(G,G) | ~ m4(G,G) )). cnf(rule_327,axiom, ( r5(C,D) | ~ s4(C) | ~ k0(b) | ~ n3(D) )). cnf(rule_328,axiom, ( r5(B,B) | ~ k4(B) )). cnf(rule_329,axiom, ( s5(H) | ~ l4(H) | ~ r4(I) )). cnf(rule_330,axiom, ( s5(E) | ~ k4(E) | ~ s3(E,F) | ~ l5(G) | ~ s5(G) )). %--------------------------------------------------------------------------