TPTP Axioms File: HWV003-0.ax
%--------------------------------------------------------------------------
% File : HWV003-0 : TPTP v8.2.0. Released v2.5.0.
% Domain : Hardware Verification
% Axioms : Axioms from a VHDL design description
% Version : [Mar02] axioms.
% English :
% Refs : [Mar02] Martensson (2002), Email to G. Sutcliffe
% Source : [Mar02]
% Names :
% Status : Satisfiable
% Syntax : Number of clauses : 90 ( 6 unt; 64 nHn; 81 RR)
% Number of literals : 369 ( 50 equ; 155 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 0 prp; 1-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 139 ( 5 sgn)
% SPC :
% Comments : Generated by Safelogic's Haskell Library
%--------------------------------------------------------------------------
cnf(axiom_1,axiom,
plus(X_0,n1) != n0 ).
cnf(axiom_2,axiom,
gt(plus(X_1,n1),n0) ).
cnf(axiom_3,axiom,
( ~ gt(X_2,n0)
| gt(X_2,minus(X_2,n1)) ) ).
cnf(axiom_4,axiom,
( minus(X_3,Y_4) != Z_5
| plus(Z_5,Y_4) = X_3
| def_10(Y_4,X_3) ) ).
cnf(axiom_5,axiom,
( minus(X_3,Y_4) = Z_5
| plus(Z_5,Y_4) != X_3
| def_10(Y_4,X_3) ) ).
cnf(axiom_6,axiom,
( ~ def_10(Y_4,X_3)
| ~ gt(X_3,Y_4) ) ).
cnf(axiom_7,axiom,
( ~ def_10(Y_4,X_3)
| X_3 != Y_4 ) ).
cnf(axiom_8,axiom,
( ~ gt(Y_12,X_11)
| gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_9,axiom,
( gt(Y_12,X_11)
| ~ gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_10,axiom,
( gt(X_13,Y_14)
| ~ gt(plus(X_13,n1),Y_14)
| Y_14 = X_13 ) ).
cnf(axiom_11,axiom,
( ~ gt(plus(X_15,n1),Y_16)
| gt(X_15,Y_16)
| X_15 = Y_16 ) ).
cnf(axiom_12,axiom,
( gt(Y_18,X_17)
| X_17 = Y_18
| gt(X_17,Y_18) ) ).
cnf(axiom_13,axiom,
( ~ gt(Z_21,Y_20)
| gt(Z_21,X_19)
| ~ gt(Y_20,X_19) ) ).
cnf(axiom_14,axiom,
( ~ gt(Y_24,X_23)
| plus(X_23,n1) = Y_24
| gt(Y_24,plus(X_23,n1)) ) ).
cnf(axiom_15,axiom,
( X_25 = n0
| gt(X_25,n0) ) ).
cnf(axiom_16,axiom,
( X_26 = n0
| X_26 = plus(y_27(X_26),n1) ) ).
cnf(axiom_17,axiom,
~ gt(X_28,X_28) ).
cnf(axiom_18,axiom,
( plus(X_29,n1) != plus(Y_30,n1)
| X_29 = Y_30 ) ).
cnf(axiom_19,axiom,
plus(n0,X_31) = X_31 ).
cnf(axiom_20,axiom,
n1 = plus(n0,n1) ).
cnf(axiom_21,axiom,
level(X_t_32) = int_level(X_t_32) ).
cnf(axiom_22,axiom,
( int_level(X_t_33) != fifo_length
| p_Full(X_t_33) ) ).
cnf(axiom_23,axiom,
( int_level(X_t_34) = fifo_length
| ~ p_Full(X_t_34) ) ).
cnf(axiom_24,axiom,
( int_level(X_t_35) != n0
| p_Empty(X_t_35) ) ).
cnf(axiom_25,axiom,
( int_level(X_t_36) = n0
| ~ p_Empty(X_t_36) ) ).
cnf(axiom_26,axiom,
( ~ p_Reset(X_t_37)
| int_level(plus(X_t_37,n1)) = n0 ) ).
cnf(axiom_27,axiom,
( ~ p_Reset(X_t_37)
| wr_level(plus(X_t_37,n1)) = n0 ) ).
cnf(axiom_28,axiom,
( ~ p_Reset(X_t_37)
| rd_level(plus(X_t_37,n1)) = n0 ) ).
cnf(axiom_29,axiom,
( ~ p_Reset(X_t_37)
| ~ p_Wr_error(plus(X_t_37,n1)) ) ).
cnf(axiom_30,axiom,
( ~ p_Reset(X_t_37)
| ~ p_Rd_error(plus(X_t_37,n1)) ) ).
cnf(axiom_31,axiom,
( ~ p_Reset(X_t_37)
| ~ p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1)) ) ).
cnf(axiom_32,axiom,
( ~ p_Reset(X_t_37)
| ~ p_Data_out(X_k1_40,plus(X_t_37,n1)) ) ).
cnf(axiom_33,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) ) ).
cnf(axiom_34,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| ~ p_Wr_error(plus(X_t_42,n1)) ) ).
cnf(axiom_35,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1) ) ).
cnf(axiom_36,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| ~ p_Mem(wr_level(X_t_42),X_k1_43,plus(X_t_42,n1))
| p_Data_in(X_k1_43,X_t_42) ) ).
cnf(axiom_37,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| p_Mem(wr_level(X_t_42),X_k1_43,plus(X_t_42,n1))
| ~ p_Data_in(X_k1_43,X_t_42) ) ).
cnf(axiom_38,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| X_c1_47 = wr_level(X_t_42)
| ~ p_Mem(X_c1_47,X_k1_48,plus(X_t_42,n1))
| p_Mem(X_c1_47,X_k1_48,X_t_42) ) ).
cnf(axiom_39,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| X_c1_47 = wr_level(X_t_42)
| p_Mem(X_c1_47,X_k1_48,plus(X_t_42,n1))
| ~ p_Mem(X_c1_47,X_k1_48,X_t_42) ) ).
cnf(axiom_40,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| ~ gt(minus(fifo_length,n1),wr_level(X_t_42))
| wr_level(plus(X_t_42,n1)) = plus(wr_level(X_t_42),n1) ) ).
cnf(axiom_41,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| gt(minus(fifo_length,n1),wr_level(X_t_42))
| wr_level(plus(X_t_42,n1)) = n0 ) ).
cnf(axiom_42,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| gt(fifo_length,int_level(X_t_42))
| p_Wr_error(plus(X_t_42,n1)) ) ).
cnf(axiom_43,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| gt(fifo_length,int_level(X_t_42))
| wr_level(plus(X_t_42,n1)) = wr_level(X_t_42) ) ).
cnf(axiom_44,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| gt(fifo_length,int_level(X_t_42))
| int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ).
cnf(axiom_45,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| gt(fifo_length,int_level(X_t_42))
| ~ p_Mem(X_k1_57,X_k2_58,plus(X_t_42,n1))
| p_Mem(X_k1_57,X_k2_58,X_t_42) ) ).
cnf(axiom_46,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| gt(fifo_length,int_level(X_t_42))
| p_Mem(X_k1_57,X_k2_58,plus(X_t_42,n1))
| ~ p_Mem(X_k1_57,X_k2_58,X_t_42) ) ).
cnf(axiom_47,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ p_Data_out(X_k1_64,plus(X_t_42,n1))
| p_Data_out(X_k1_64,X_t_42) ) ).
cnf(axiom_48,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| p_Data_out(X_k1_64,plus(X_t_42,n1))
| ~ p_Data_out(X_k1_64,X_t_42) ) ).
cnf(axiom_49,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ p_Rd_error(plus(X_t_42,n1))
| p_Rd_error(X_t_42) ) ).
cnf(axiom_50,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| p_Rd_error(plus(X_t_42,n1))
| ~ p_Rd_error(X_t_42) ) ).
cnf(axiom_51,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1)) ) ).
cnf(axiom_52,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd_error(plus(X_t_42,n1)) ) ).
cnf(axiom_53,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ).
cnf(axiom_54,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Data_out(X_k1_73,plus(X_t_42,n1))
| p_Mem(rd_level(X_t_42),X_k1_73,X_t_42) ) ).
cnf(axiom_55,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| p_Data_out(X_k1_73,plus(X_t_42,n1))
| ~ p_Mem(rd_level(X_t_42),X_k1_73,X_t_42) ) ).
cnf(axiom_56,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X_t_42))
| rd_level(plus(X_t_42,n1)) = plus(rd_level(X_t_42),n1) ) ).
cnf(axiom_57,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| gt(minus(fifo_length,n1),rd_level(X_t_42))
| rd_level(plus(X_t_42,n1)) = n0 ) ).
cnf(axiom_58,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| p_Rd_error(plus(X_t_42,n1)) ) ).
cnf(axiom_59,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1) ) ).
cnf(axiom_60,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) ) ).
cnf(axiom_61,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| ~ p_Data_out(X_k1_81,plus(X_t_42,n1))
| p_Data_out(X_k1_81,X_t_42) ) ).
cnf(axiom_62,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| p_Data_out(X_k1_81,plus(X_t_42,n1))
| ~ p_Data_out(X_k1_81,X_t_42) ) ).
cnf(axiom_63,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ p_Mem(wr_level(X_t_42),X_k1_87,plus(X_t_42,n1))
| p_Data_in(X_k1_87,X_t_42) ) ).
cnf(axiom_64,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| p_Mem(wr_level(X_t_42),X_k1_87,plus(X_t_42,n1))
| ~ p_Data_in(X_k1_87,X_t_42) ) ).
cnf(axiom_65,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| X_c1_91 = wr_level(X_t_42)
| ~ p_Mem(X_c1_91,X_k1_92,plus(X_t_42,n1))
| p_Mem(X_c1_91,X_k1_92,X_t_42) ) ).
cnf(axiom_66,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| X_c1_91 = wr_level(X_t_42)
| p_Mem(X_c1_91,X_k1_92,plus(X_t_42,n1))
| ~ p_Mem(X_c1_91,X_k1_92,X_t_42) ) ).
cnf(axiom_67,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(minus(fifo_length,n1),wr_level(X_t_42))
| wr_level(plus(X_t_42,n1)) = plus(wr_level(X_t_42),n1) ) ).
cnf(axiom_68,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(minus(fifo_length,n1),wr_level(X_t_42))
| wr_level(plus(X_t_42,n1)) = n0 ) ).
cnf(axiom_69,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| wr_level(plus(X_t_42,n1)) = wr_level(X_t_42) ) ).
cnf(axiom_70,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd_error(plus(X_t_42,n1)) ) ).
cnf(axiom_71,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1) ) ).
cnf(axiom_72,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Data_out(X_k1_103,plus(X_t_42,n1))
| p_Mem(rd_level(X_t_42),X_k1_103,X_t_42) ) ).
cnf(axiom_73,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| p_Data_out(X_k1_103,plus(X_t_42,n1))
| ~ p_Mem(rd_level(X_t_42),X_k1_103,X_t_42) ) ).
cnf(axiom_74,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X_t_42))
| rd_level(plus(X_t_42,n1)) = plus(rd_level(X_t_42),n1) ) ).
cnf(axiom_75,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| gt(minus(fifo_length,n1),rd_level(X_t_42))
| rd_level(plus(X_t_42,n1)) = n0 ) ).
cnf(axiom_76,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| p_Rd_error(plus(X_t_42,n1)) ) ).
cnf(axiom_77,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) ) ).
cnf(axiom_78,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ).
cnf(axiom_79,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| ~ p_Data_out(X_k1_111,plus(X_t_42,n1))
| p_Data_out(X_k1_111,X_t_42) ) ).
cnf(axiom_80,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| p_Data_out(X_k1_111,plus(X_t_42,n1))
| ~ p_Data_out(X_k1_111,X_t_42) ) ).
cnf(axiom_81,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) ) ).
cnf(axiom_82,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ).
cnf(axiom_83,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ p_Data_out(X_k1_119,plus(X_t_42,n1))
| p_Data_out(X_k1_119,X_t_42) ) ).
cnf(axiom_84,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| p_Data_out(X_k1_119,plus(X_t_42,n1))
| ~ p_Data_out(X_k1_119,X_t_42) ) ).
cnf(axiom_85,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ p_Rd_error(plus(X_t_42,n1))
| p_Rd_error(X_t_42) ) ).
cnf(axiom_86,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| p_Rd_error(plus(X_t_42,n1))
| ~ p_Rd_error(X_t_42) ) ).
cnf(axiom_87,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Mem(X_k1_128,X_k2_129,plus(X_t_42,n1))
| p_Mem(X_k1_128,X_k2_129,X_t_42) ) ).
cnf(axiom_88,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Mem(X_k1_128,X_k2_129,plus(X_t_42,n1))
| ~ p_Mem(X_k1_128,X_k2_129,X_t_42) ) ).
cnf(axiom_89,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1))
| p_Wr_error(X_t_42) ) ).
cnf(axiom_90,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Wr_error(plus(X_t_42,n1))
| ~ p_Wr_error(X_t_42) ) ).
%--------------------------------------------------------------------------