TPTP Problem File: HWV052-1.007.004.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : HWV052-1.007.004 : TPTP v8.2.0. Released v4.1.0.
% Domain : Hardware Verification
% Problem : Faulty channel 7 4
% Version : Especial.
% English : The problem of sending N bits over a faulty channel that can
% mutilate any one bit. We can use K extra bits to help us do this.
% Satisfiable means that it is possible, unsatisfiable means that
% it is not possible.
% Refs : [Cla10] Claessen (2010), Email to Geoff Sutcliffe
% Source : [Cla10]
% Names : fault_7_4 [Cla10]
% Status : Satisfiable
% Rating : 1.00 v8.2.0, 0.90 v8.1.0, 0.88 v7.5.0, 0.89 v7.4.0, 0.91 v7.3.0, 0.89 v7.1.0, 0.88 v7.0.0, 0.86 v6.4.0, 1.00 v4.1.0
% Syntax : Number of clauses : 86 ( 85 unt; 1 nHn; 1 RR)
% Number of literals : 87 ( 87 equ; 1 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-11 aty)
% Number of variables : 590 ( 0 sgn)
% SPC : CNF_SAT_RFO_EQU_NUE
% Comments :
%------------------------------------------------------------------------------
cnf(bit_domain,axiom,
( X = o
| X = i ) ).
cnf(bit_inverse,axiom,
inv(X) != X ).
cnf(unpack1,axiom,
unpack1(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_01,axiom,
unpack1(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_02,axiom,
unpack1(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_03,axiom,
unpack1(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_04,axiom,
unpack1(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_05,axiom,
unpack1(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_06,axiom,
unpack1(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_07,axiom,
unpack1(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_08,axiom,
unpack1(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_09,axiom,
unpack1(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_10,axiom,
unpack1(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X1 ).
cnf(unpack1_11,axiom,
unpack1(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X1 ).
cnf(unpack2,axiom,
unpack2(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_12,axiom,
unpack2(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_13,axiom,
unpack2(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_14,axiom,
unpack2(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_15,axiom,
unpack2(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_16,axiom,
unpack2(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_17,axiom,
unpack2(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_18,axiom,
unpack2(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_19,axiom,
unpack2(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_20,axiom,
unpack2(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_21,axiom,
unpack2(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X2 ).
cnf(unpack2_22,axiom,
unpack2(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X2 ).
cnf(unpack3,axiom,
unpack3(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_23,axiom,
unpack3(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_24,axiom,
unpack3(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_25,axiom,
unpack3(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_26,axiom,
unpack3(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_27,axiom,
unpack3(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_28,axiom,
unpack3(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_29,axiom,
unpack3(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_30,axiom,
unpack3(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_31,axiom,
unpack3(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_32,axiom,
unpack3(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X3 ).
cnf(unpack3_33,axiom,
unpack3(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X3 ).
cnf(unpack4,axiom,
unpack4(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_34,axiom,
unpack4(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_35,axiom,
unpack4(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_36,axiom,
unpack4(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_37,axiom,
unpack4(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_38,axiom,
unpack4(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_39,axiom,
unpack4(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_40,axiom,
unpack4(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_41,axiom,
unpack4(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_42,axiom,
unpack4(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_43,axiom,
unpack4(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X4 ).
cnf(unpack4_44,axiom,
unpack4(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X4 ).
cnf(unpack5,axiom,
unpack5(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_45,axiom,
unpack5(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_46,axiom,
unpack5(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_47,axiom,
unpack5(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_48,axiom,
unpack5(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_49,axiom,
unpack5(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_50,axiom,
unpack5(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_51,axiom,
unpack5(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_52,axiom,
unpack5(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_53,axiom,
unpack5(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_54,axiom,
unpack5(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X5 ).
cnf(unpack5_55,axiom,
unpack5(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X5 ).
cnf(unpack6,axiom,
unpack6(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_56,axiom,
unpack6(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_57,axiom,
unpack6(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_58,axiom,
unpack6(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_59,axiom,
unpack6(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_60,axiom,
unpack6(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_61,axiom,
unpack6(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_62,axiom,
unpack6(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_63,axiom,
unpack6(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_64,axiom,
unpack6(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_65,axiom,
unpack6(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X6 ).
cnf(unpack6_66,axiom,
unpack6(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X6 ).
cnf(unpack7,axiom,
unpack7(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_67,axiom,
unpack7(inv(X1),X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_68,axiom,
unpack7(X1,inv(X2),X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_69,axiom,
unpack7(X1,X2,inv(X3),X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_70,axiom,
unpack7(X1,X2,X3,inv(X4),X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_71,axiom,
unpack7(X1,X2,X3,X4,inv(X5),X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_72,axiom,
unpack7(X1,X2,X3,X4,X5,inv(X6),X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_73,axiom,
unpack7(X1,X2,X3,X4,X5,X6,inv(X7),pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_74,axiom,
unpack7(X1,X2,X3,X4,X5,X6,X7,inv(pack1(X1,X2,X3,X4,X5,X6,X7)),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_75,axiom,
unpack7(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),inv(pack2(X1,X2,X3,X4,X5,X6,X7)),pack3(X1,X2,X3,X4,X5,X6,X7),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_76,axiom,
unpack7(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),inv(pack3(X1,X2,X3,X4,X5,X6,X7)),pack4(X1,X2,X3,X4,X5,X6,X7)) = X7 ).
cnf(unpack7_77,axiom,
unpack7(X1,X2,X3,X4,X5,X6,X7,pack1(X1,X2,X3,X4,X5,X6,X7),pack2(X1,X2,X3,X4,X5,X6,X7),pack3(X1,X2,X3,X4,X5,X6,X7),inv(pack4(X1,X2,X3,X4,X5,X6,X7))) = X7 ).
%------------------------------------------------------------------------------