%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV321-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:03:21 AM UTC 2026
% Result : Unsatisfiable 239.63s 240.02s
% Output : Proof 239.89s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Datatype__Universe_OLeaf__inject__dest_0,axiom,
( V_x = V_y
| c_Datatype__Universe_OLeaf(V_x,T_a,T_b) != c_Datatype__Universe_OLeaf(V_y,T_a,T_b) ),
file('MSC001-0.ax',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
cnf(cls_Datatype__Universe_ONumb__inject__dest_0,axiom,
( V_x = V_y
| c_Datatype__Universe_ONumb(V_x,T_a,T_b) != c_Datatype__Universe_ONumb(V_y,T_a,T_b) ),
file('MSC001-0.ax',cls_Datatype__Universe_ONumb__inject__dest_0) ).
cnf(cls_Datatype__Universe_OdprodE_0,axiom,
( V_c = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__2(V_c,V_r,V_s,T_a,T_b),T_a,T_b),c_Datatype__Universe_OScons(c_Main_OdprodE__3(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__4(V_c,V_r,V_s,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_c,c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdprodE_0) ).
cnf(cls_Datatype__Universe_OdprodE_1,axiom,
( c_in(c_Pair(c_Main_OdprodE__2(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__4(V_c,V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(V_c,c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdprodE_1) ).
cnf(cls_Datatype__Universe_OdprodE_2,axiom,
( c_in(c_Pair(c_Main_OdprodE__1(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__3(V_c,V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(V_c,c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdprodE_2) ).
cnf(cls_Datatype__Universe_OdprodI_0,axiom,
( c_in(c_Pair(c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(c_Pair(V_M,V_M_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(c_Pair(V_N,V_N_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdprodI_0) ).
cnf(cls_Datatype__Universe_OdsumE_0,axiom,
( V_w = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(V_s,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| V_w = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(V_r,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdsumE_0) ).
cnf(cls_Datatype__Universe_OdsumE_1,axiom,
( V_w = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(V_r,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| c_in(c_Pair(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),c_Main_OdsumE__4(V_s,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdsumE_1) ).
cnf(cls_Datatype__Universe_OdsumE_2,axiom,
( V_w = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(V_s,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| c_in(c_Pair(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),c_Main_OdsumE__2(V_r,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdsumE_2) ).
cnf(cls_Datatype__Universe_OdsumE_3,axiom,
( c_in(c_Pair(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),c_Main_OdsumE__4(V_s,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| c_in(c_Pair(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),c_Main_OdsumE__2(V_r,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OdsumE_3) ).
cnf(cls_Datatype__Universe_Odsum__In0I_0,axiom,
( c_in(c_Pair(c_Datatype__Universe_OIn0(V_M,T_a,T_b),c_Datatype__Universe_OIn0(V_M_H,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(c_Pair(V_M,V_M_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_Odsum__In0I_0) ).
cnf(cls_Datatype__Universe_Odsum__In1I_0,axiom,
( c_in(c_Pair(c_Datatype__Universe_OIn1(V_N,T_a,T_b),c_Datatype__Universe_OIn1(V_N_H,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))
| ~ c_in(c_Pair(V_N,V_N_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) ),
file('MSC001-0.ax',cls_Datatype__Universe_Odsum__In1I_0) ).
cnf(cls_Datatype__Universe_OuprodE_0,axiom,
( V_c = c_Datatype__Universe_OScons(c_Main_OuprodE__1(V_A,V_B,V_c,T_a,T_b),c_Main_OuprodE__2(V_A,V_B,V_c,T_a,T_b),T_a,T_b)
| ~ c_in(V_c,c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OuprodE_0) ).
cnf(cls_Datatype__Universe_OuprodE_1,axiom,
( c_in(c_Main_OuprodE__2(V_A,V_B,V_c,T_a,T_b),V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_c,c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OuprodE_1) ).
cnf(cls_Datatype__Universe_OuprodE_2,axiom,
( c_in(c_Main_OuprodE__1(V_A,V_B,V_c,T_a,T_b),V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_c,c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OuprodE_2) ).
cnf(cls_Datatype__Universe_OuprodI_0,axiom,
( c_in(c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_M,V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_N,V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OuprodI_0) ).
cnf(cls_Datatype__Universe_OusumE_0,axiom,
( V_u = c_Datatype__Universe_OIn1(c_Main_OusumE__2(V_B,V_u,T_a,T_b),T_a,T_b)
| V_u = c_Datatype__Universe_OIn0(c_Main_OusumE__1(V_A,V_u,T_a,T_b),T_a,T_b)
| ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OusumE_0) ).
cnf(cls_Datatype__Universe_OusumE_1,axiom,
( V_u = c_Datatype__Universe_OIn0(c_Main_OusumE__1(V_A,V_u,T_a,T_b),T_a,T_b)
| c_in(c_Main_OusumE__2(V_B,V_u,T_a,T_b),V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OusumE_1) ).
cnf(cls_Datatype__Universe_OusumE_2,axiom,
( V_u = c_Datatype__Universe_OIn1(c_Main_OusumE__2(V_B,V_u,T_a,T_b),T_a,T_b)
| c_in(c_Main_OusumE__1(V_A,V_u,T_a,T_b),V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OusumE_2) ).
cnf(cls_Datatype__Universe_OusumE_3,axiom,
( c_in(c_Main_OusumE__2(V_B,V_u,T_a,T_b),V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| c_in(c_Main_OusumE__1(V_A,V_u,T_a,T_b),V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_OusumE_3) ).
cnf(cls_Datatype__Universe_Ousum__In0I_0,axiom,
( c_in(c_Datatype__Universe_OIn0(V_M,T_a,T_b),c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_M,V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_Ousum__In0I_0) ).
cnf(cls_Datatype__Universe_Ousum__In1I_0,axiom,
( c_in(c_Datatype__Universe_OIn1(V_N,T_a,T_b),c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))
| ~ c_in(V_N,V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) ),
file('MSC001-0.ax',cls_Datatype__Universe_Ousum__In1I_0) ).
cnf(cls_Divides_Odvd__0__right_0,axiom,
c_Divides_Oop_Advd(V_m,c_0,tc_nat),
file('MSC001-0.ax',cls_Divides_Odvd__0__right_0) ).
cnf(cls_Divides_Odvd__1__left_0,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat),
file('MSC001-0.ax',cls_Divides_Odvd__1__left_0) ).
cnf(cls_Divides_Odvd__triv__left_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat),
file('MSC001-0.ax',cls_Divides_Odvd__triv__left_0) ).
cnf(cls_Divides_Odvd__triv__right_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat),
file('MSC001-0.ax',cls_Divides_Odvd__triv__right_0) ).
cnf(cls_Divides_Omod__eq__0D__dest_0,axiom,
( V_m = c_times(V_d,c_Main_Omod__eq__0D__dest__1(V_d,V_m),tc_nat)
| c_Divides_Oop_Amod(V_m,V_d,tc_nat) != c_0 ),
file('MSC001-0.ax',cls_Divides_Omod__eq__0D__dest_0) ).
cnf(cls_Finite__Set_OFinites_OemptyI_0,axiom,
c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a)),
file('MSC001-0.ax',cls_Finite__Set_OFinites_OemptyI_0) ).
cnf(cls_Finite__Set_OFinites_OinsertI_0,axiom,
( c_in(c_insert(V_a,V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Finite__Set_OFinites_OinsertI_0) ).
cnf(cls_Finite__Set_Ofinite__Int_0,axiom,
( c_in(c_inter(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Finite__Set_Ofinite__Int_0) ).
cnf(cls_Finite__Set_Ofinite__Int_1,axiom,
( c_in(c_inter(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Finite__Set_Ofinite__Int_1) ).
cnf(cls_Finite__Set_Ofinite__Union_0,axiom,
( c_in(c_Union(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| c_in(c_Main_Ofinite__Union__1(V_A,T_a),V_A,tc_set(T_a))
| ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(tc_set(T_a))) ),
file('MSC001-0.ax',cls_Finite__Set_Ofinite__Union_0) ).
cnf(cls_Finite__Set_Ofinite__Union_1,axiom,
( c_in(c_Union(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(c_Main_Ofinite__Union__1(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(tc_set(T_a))) ),
file('MSC001-0.ax',cls_Finite__Set_Ofinite__Union_1) ).
cnf(cls_GCD_Ogcd__dvd1_0,axiom,
c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat),
file('MSC001-0.ax',cls_GCD_Ogcd__dvd1_0) ).
cnf(cls_GCD_Ogcd__dvd2_0,axiom,
c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat),
file('MSC001-0.ax',cls_GCD_Ogcd__dvd2_0) ).
cnf(cls_Infinite__Set_Oatmost__one__unique_0,axiom,
( V_y = V_x
| ~ c_in(V_x,V_S,T_a)
| ~ c_in(V_y,V_S,T_a)
| ~ c_Infinite__Set_Oatmost__one(V_S,T_a) ),
file('MSC001-0.ax',cls_Infinite__Set_Oatmost__one__unique_0) ).
cnf(cls_IntDef_Onegative__zle_0,axiom,
c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint),
file('MSC001-0.ax',cls_IntDef_Onegative__zle_0) ).
cnf(cls_IntDef_Onegative__zless_0,axiom,
c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint),
file('MSC001-0.ax',cls_IntDef_Onegative__zless_0) ).
cnf(cls_IntDiv_Ozdvd__0__right_0,axiom,
c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint),
file('MSC001-0.ax',cls_IntDiv_Ozdvd__0__right_0) ).
cnf(cls_IntDiv_Ozdvd__1__left_0,axiom,
c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint),
file('MSC001-0.ax',cls_IntDiv_Ozdvd__1__left_0) ).
cnf(cls_IntDiv_Ozdvd__triv__left_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint),
file('MSC001-0.ax',cls_IntDiv_Ozdvd__triv__left_0) ).
cnf(cls_IntDiv_Ozdvd__triv__right_0,axiom,
c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint),
file('MSC001-0.ax',cls_IntDiv_Ozdvd__triv__right_0) ).
cnf(cls_IntDiv_Ozmod__eq__0D__dest_0,axiom,
( V_m = c_times(V_d,c_Main_Ozmod__eq__0D__dest__1(V_d,V_m),tc_IntDef_Oint)
| c_Divides_Oop_Amod(V_m,V_d,tc_IntDef_Oint) != c_0 ),
file('MSC001-0.ax',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
cnf(cls_List_Odistinct__remdups_0,axiom,
c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a),
file('MSC001-0.ax',cls_List_Odistinct__remdups_0) ).
cnf(cls_List_Ofinite__set_0,axiom,
c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)),
file('MSC001-0.ax',cls_List_Ofinite__set_0) ).
cnf(cls_List_Oin__listsD__dest_0,axiom,
( c_in(V_U,V_A,T_a)
| ~ c_in(V_U,c_List_Oset(V_xs,T_a),T_a)
| ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-0.ax',cls_List_Oin__listsD__dest_0) ).
cnf(cls_List_Oin__listsI_0,axiom,
( c_in(c_Main_Oin__listsI__1(V_A,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a)
| c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-0.ax',cls_List_Oin__listsI_0) ).
cnf(cls_List_Oin__listsI_1,axiom,
( c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(c_Main_Oin__listsI__1(V_A,V_xs,T_a),V_A,T_a) ),
file('MSC001-0.ax',cls_List_Oin__listsI_1) ).
cnf(cls_List_Olength__remdups__leq_0,axiom,
c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),
file('MSC001-0.ax',cls_List_Olength__remdups__leq_0) ).
cnf(cls_List_Olistrel__Cons1_0,axiom,
( V_xs = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(V_r,V_xs,V_y,V_ys,T_a),c_Main_Olistrel__Cons1__2(V_r,V_xs,V_y,V_ys,T_a),T_a)
| ~ c_in(c_Pair(c_List_Olist_OCons(V_y,V_ys,T_a),V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Cons1_0) ).
cnf(cls_List_Olistrel__Cons1_1,axiom,
( c_in(c_Pair(V_ys,c_Main_Olistrel__Cons1__2(V_r,V_xs,V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
| ~ c_in(c_Pair(c_List_Olist_OCons(V_y,V_ys,T_a),V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Cons1_1) ).
cnf(cls_List_Olistrel__Cons1_2,axiom,
( c_in(c_Pair(V_y,c_Main_Olistrel__Cons1__1(V_r,V_xs,V_y,V_ys,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(c_List_Olist_OCons(V_y,V_ys,T_a),V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Cons1_2) ).
cnf(cls_List_Olistrel__Cons2_0,axiom,
( V_xs = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(V_r,V_xs,V_y,V_ys,T_a),c_Main_Olistrel__Cons2__2(V_r,V_xs,V_y,V_ys,T_a),T_a)
| ~ c_in(c_Pair(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Cons2_0) ).
cnf(cls_List_Olistrel__Cons2_1,axiom,
( c_in(c_Pair(c_Main_Olistrel__Cons2__2(V_r,V_xs,V_y,V_ys,T_a),V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
| ~ c_in(c_Pair(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Cons2_1) ).
cnf(cls_List_Olistrel__Cons2_2,axiom,
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(V_r,V_xs,V_y,V_ys,T_a),V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Cons2_2) ).
cnf(cls_List_Olistrel__Nil1_0,axiom,
( V_xs = c_List_Olist_ONil
| ~ c_in(c_Pair(c_List_Olist_ONil,V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Nil1_0) ).
cnf(cls_List_Olistrel__Nil2_0,axiom,
( V_xs = c_List_Olist_ONil
| ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
file('MSC001-0.ax',cls_List_Olistrel__Nil2_0) ).
cnf(cls_List_OlistsE_0,axiom,
( c_in(V_l,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(c_List_Olist_OCons(V_x,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-0.ax',cls_List_OlistsE_0) ).
cnf(cls_List_OlistsE_1,axiom,
( c_in(V_x,V_A,T_a)
| ~ c_in(c_List_Olist_OCons(V_x,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-0.ax',cls_List_OlistsE_1) ).
cnf(cls_List_Olists_OCons_0,axiom,
( c_in(c_List_Olist_OCons(V_a,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(V_l,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(V_a,V_A,T_a) ),
file('MSC001-0.ax',cls_List_Olists_OCons_0) ).
cnf(cls_List_Olists_ONil_0,axiom,
c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)),
file('MSC001-0.ax',cls_List_Olists_ONil_0) ).
cnf(cls_List_Owf__lenlex_0,axiom,
( c_Wellfounded__Recursion_Owf(c_List_Olenlex(V_r,T_a),tc_List_Olist(T_a))
| ~ c_Wellfounded__Recursion_Owf(V_r,T_a) ),
file('MSC001-0.ax',cls_List_Owf__lenlex_0) ).
cnf(cls_List_Owf__lex_0,axiom,
( c_Wellfounded__Recursion_Owf(c_List_Olex(V_r,T_a),tc_List_Olist(T_a))
| ~ c_Wellfounded__Recursion_Owf(V_r,T_a) ),
file('MSC001-0.ax',cls_List_Owf__lex_0) ).
cnf(cls_Nat_Ole0_0,axiom,
c_lessequals(c_0,V_n,tc_nat),
file('MSC001-0.ax',cls_Nat_Ole0_0) ).
cnf(cls_Nat_OlessI_0,axiom,
c_less(V_n,c_Suc(V_n),tc_nat),
file('MSC001-0.ax',cls_Nat_OlessI_0) ).
cnf(cls_Nat_Oless__irrefl_0,axiom,
~ c_less(V_n,V_n,tc_nat),
file('MSC001-0.ax',cls_Nat_Oless__irrefl_0) ).
cnf(cls_Nat_Ozero__less__Suc_0,axiom,
c_less(c_0,c_Suc(V_n),tc_nat),
file('MSC001-0.ax',cls_Nat_Ozero__less__Suc_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(cls_Relation_ODomainE_0,axiom,
( c_in(c_Pair(V_a,c_Main_ODomainE__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))
| ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ),
file('MSC001-0.ax',cls_Relation_ODomainE_0) ).
cnf(cls_Relation_ODomainI_0,axiom,
( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_ODomainI_0) ).
cnf(cls_Relation_OIdE_0,axiom,
( V_p = c_Pair(c_Main_OIdE__1(V_p,T_a),c_Main_OIdE__1(V_p,T_a),T_a,T_a)
| ~ c_in(V_p,c_Relation_OId,tc_prod(T_a,T_a)) ),
file('MSC001-0.ax',cls_Relation_OIdE_0) ).
cnf(cls_Relation_OImageE_0,axiom,
( c_in(c_Main_OImageE__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)
| ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ),
file('MSC001-0.ax',cls_Relation_OImageE_0) ).
cnf(cls_Relation_OImageE_1,axiom,
( c_in(c_Pair(c_Main_OImageE__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
| ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ),
file('MSC001-0.ax',cls_Relation_OImageE_1) ).
cnf(cls_Relation_OImageI_0,axiom,
( c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b)
| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))
| ~ c_in(V_a,V_A,T_a) ),
file('MSC001-0.ax',cls_Relation_OImageI_0) ).
cnf(cls_Relation_ORangeE_0,axiom,
( c_in(c_Pair(c_Main_ORangeE__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
| ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ),
file('MSC001-0.ax',cls_Relation_ORangeE_0) ).
cnf(cls_Relation_ORangeI_0,axiom,
( c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b)
| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_ORangeI_0) ).
cnf(cls_Relation_OconverseE_0,axiom,
( c_in(c_Pair(c_Main_OconverseE__1(V_r,V_yx,T_b,T_a),c_Main_OconverseE__2(V_r,V_yx,T_b,T_a),T_b,T_a),V_r,tc_prod(T_b,T_a))
| ~ c_in(V_yx,c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_OconverseE_0) ).
cnf(cls_Relation_OconverseE_1,axiom,
( V_yx = c_Pair(c_Main_OconverseE__2(V_r,V_yx,T_b,T_a),c_Main_OconverseE__1(V_r,V_yx,T_b,T_a),T_a,T_b)
| ~ c_in(V_yx,c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_OconverseE_1) ).
cnf(cls_Relation_OdiagE_0,axiom,
( V_c = c_Pair(c_Main_OdiagE__1(V_A,V_c,T_a),c_Main_OdiagE__1(V_A,V_c,T_a),T_a,T_a)
| ~ c_in(V_c,c_Relation_Odiag(V_A,T_a),tc_prod(T_a,T_a)) ),
file('MSC001-0.ax',cls_Relation_OdiagE_0) ).
cnf(cls_Relation_OdiagE_1,axiom,
( c_in(c_Main_OdiagE__1(V_A,V_c,T_a),V_A,T_a)
| ~ c_in(V_c,c_Relation_Odiag(V_A,T_a),tc_prod(T_a,T_a)) ),
file('MSC001-0.ax',cls_Relation_OdiagE_1) ).
cnf(cls_Relation_OdiagI_0,axiom,
( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_Odiag(V_A,T_a),tc_prod(T_a,T_a))
| ~ c_in(V_a,V_A,T_a) ),
file('MSC001-0.ax',cls_Relation_OdiagI_0) ).
cnf(cls_Relation_Orel__compE_0,axiom,
( c_in(c_Pair(c_Main_Orel__compE__2(V_r,V_s,V_xz,T_c,T_b,T_a),c_Main_Orel__compE__3(V_r,V_s,V_xz,T_c,T_b,T_a),T_c,T_b),V_r,tc_prod(T_c,T_b))
| ~ c_in(V_xz,c_Relation_Orel__comp(V_r,V_s,T_c,T_b,T_a),tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_Orel__compE_0) ).
cnf(cls_Relation_Orel__compE_1,axiom,
( c_in(c_Pair(c_Main_Orel__compE__1(V_r,V_s,V_xz,T_c,T_b,T_a),c_Main_Orel__compE__2(V_r,V_s,V_xz,T_c,T_b,T_a),T_a,T_c),V_s,tc_prod(T_a,T_c))
| ~ c_in(V_xz,c_Relation_Orel__comp(V_r,V_s,T_c,T_b,T_a),tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_Orel__compE_1) ).
cnf(cls_Relation_Orel__compE_2,axiom,
( V_xz = c_Pair(c_Main_Orel__compE__1(V_r,V_s,V_xz,T_c,T_b,T_a),c_Main_Orel__compE__3(V_r,V_s,V_xz,T_c,T_b,T_a),T_a,T_b)
| ~ c_in(V_xz,c_Relation_Orel__comp(V_r,V_s,T_c,T_b,T_a),tc_prod(T_a,T_b)) ),
file('MSC001-0.ax',cls_Relation_Orel__compE_2) ).
cnf(cls_Relation_Orel__compI_0,axiom,
( c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),tc_prod(T_a,T_c))
| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_s,tc_prod(T_a,T_b))
| ~ c_in(c_Pair(V_b,V_c,T_b,T_c),V_r,tc_prod(T_b,T_c)) ),
file('MSC001-0.ax',cls_Relation_Orel__compI_0) ).
cnf(cls_SetInterval_Ofinite__atLeastAtMost_0,axiom,
c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
cnf(cls_SetInterval_Ofinite__atLeastAtMost__int_0,axiom,
c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
cnf(cls_SetInterval_Ofinite__atLeastLessThan_0,axiom,
c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
cnf(cls_SetInterval_Ofinite__atLeastLessThan__int_0,axiom,
c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
cnf(cls_SetInterval_Ofinite__atMost_0,axiom,
c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__atMost_0) ).
cnf(cls_SetInterval_Ofinite__greaterThanAtMost_0,axiom,
c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
cnf(cls_SetInterval_Ofinite__greaterThanAtMost__int_0,axiom,
c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
cnf(cls_SetInterval_Ofinite__greaterThanLessThan_0,axiom,
c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
cnf(cls_SetInterval_Ofinite__greaterThanLessThan__int_0,axiom,
c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
cnf(cls_SetInterval_Ofinite__lessThan_0,axiom,
c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-0.ax',cls_SetInterval_Ofinite__lessThan_0) ).
cnf(cls_Set_OInterI_0,axiom,
( c_in(c_Main_OInterI__1(V_A,V_C,T_a),V_C,tc_set(T_a))
| c_in(V_A,c_Inter(V_C,T_a),T_a) ),
file('MSC001-0.ax',cls_Set_OInterI_0) ).
cnf(cls_Set_OInterI_1,axiom,
( c_in(V_A,c_Inter(V_C,T_a),T_a)
| ~ c_in(V_A,c_Main_OInterI__1(V_A,V_C,T_a),T_a) ),
file('MSC001-0.ax',cls_Set_OInterI_1) ).
cnf(cls_Set_OUNIV__I_0,axiom,
c_in(V_x,c_UNIV,T_a),
file('MSC001-0.ax',cls_Set_OUNIV__I_0) ).
cnf(cls_Set_OUnionE_0,axiom,
( c_in(c_Main_OUnionE__1(V_A,V_C,T_a),V_C,tc_set(T_a))
| ~ c_in(V_A,c_Union(V_C,T_a),T_a) ),
file('MSC001-0.ax',cls_Set_OUnionE_0) ).
cnf(cls_Set_OUnionE_1,axiom,
( c_in(V_A,c_Main_OUnionE__1(V_A,V_C,T_a),T_a)
| ~ c_in(V_A,c_Union(V_C,T_a),T_a) ),
file('MSC001-0.ax',cls_Set_OUnionE_1) ).
cnf(cls_Set_Oempty__subsetI_0,axiom,
c_lessequals(c_emptyset,V_A,tc_set(T_a)),
file('MSC001-0.ax',cls_Set_Oempty__subsetI_0) ).
cnf(cls_Set_OpsubsetE_0,axiom,
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Set_OpsubsetE_0) ).
cnf(cls_Set_OpsubsetE_1,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Set_OpsubsetE_1) ).
cnf(cls_Set_OpsubsetI_0,axiom,
( V_A = V_B
| c_less(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Set_OpsubsetI_0) ).
cnf(cls_Set_OsingletonD__dest_0,axiom,
( V_b = V_a
| ~ c_in(V_b,c_insert(V_a,c_emptyset,T_a),T_a) ),
file('MSC001-0.ax',cls_Set_OsingletonD__dest_0) ).
cnf(cls_Set_OsingletonI_0,axiom,
c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a),
file('MSC001-0.ax',cls_Set_OsingletonI_0) ).
cnf(cls_Set_Osingleton__inject__dest_0,axiom,
( V_a = V_b
| c_insert(V_a,c_emptyset,T_a) != c_insert(V_b,c_emptyset,T_a) ),
file('MSC001-0.ax',cls_Set_Osingleton__inject__dest_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('MSC001-0.ax',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( V_A = V_B
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)),
file('MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(cls_Sum__Type_OInlI_0,axiom,
( c_in(c_Sum__Type_OInl(V_a,T_a,T_b),c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b))
| ~ c_in(V_a,V_A,T_a) ),
file('MSC001-0.ax',cls_Sum__Type_OInlI_0) ).
cnf(cls_Sum__Type_OInrI_0,axiom,
( c_in(c_Sum__Type_OInr(V_b,T_a,T_b),c_Sum__Type_OPlus(V_A,V_B,T_b,T_a),tc_sum(T_b,T_a))
| ~ c_in(V_b,V_B,T_a) ),
file('MSC001-0.ax',cls_Sum__Type_OInrI_0) ).
cnf(cls_Sum__Type_OPlusE_0,axiom,
( V_u = c_Sum__Type_OInr(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),T_b,T_a)
| V_u = c_Sum__Type_OInl(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),T_a,T_b)
| ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b)) ),
file('MSC001-0.ax',cls_Sum__Type_OPlusE_0) ).
cnf(cls_Sum__Type_OPlusE_1,axiom,
( V_u = c_Sum__Type_OInl(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),T_a,T_b)
| c_in(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),V_B,T_b)
| ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b)) ),
file('MSC001-0.ax',cls_Sum__Type_OPlusE_1) ).
cnf(cls_Sum__Type_OPlusE_2,axiom,
( V_u = c_Sum__Type_OInr(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),T_b,T_a)
| c_in(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),V_A,T_a)
| ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b)) ),
file('MSC001-0.ax',cls_Sum__Type_OPlusE_2) ).
cnf(cls_Sum__Type_OPlusE_3,axiom,
( c_in(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),V_B,T_b)
| c_in(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),V_A,T_a)
| ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b)) ),
file('MSC001-0.ax',cls_Sum__Type_OPlusE_3) ).
cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ),
file('MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).
cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)),
file('MSC001-0.ax',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
cnf(cls_Transitive__Closure_Otrancl_Or__into__trancl_0,axiom,
( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
file('MSC001-0.ax',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
cnf(cls_Transitive__Closure_Otrancl__into__rtrancl_0,axiom,
( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ),
file('MSC001-0.ax',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
cnf(cls_Wellfounded__Recursion_Owf__empty_0,axiom,
c_Wellfounded__Recursion_Owf(c_emptyset,T_a),
file('MSC001-0.ax',cls_Wellfounded__Recursion_Owf__empty_0) ).
cnf(cls_Wellfounded__Relations_Otrans__less__than_0,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('MSC001-0.ax',cls_Wellfounded__Relations_Otrans__less__than_0) ).
cnf(cls_Wellfounded__Relations_Otrans__lex__prod_0,axiom,
( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(V_R1,V_R2,T_a,T_b),tc_prod(T_a,T_b))
| ~ c_Relation_Otrans(V_R1,T_a)
| ~ c_Relation_Otrans(V_R2,T_b) ),
file('MSC001-0.ax',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
cnf(cls_Wellfounded__Relations_Owf__less__than_0,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('MSC001-0.ax',cls_Wellfounded__Relations_Owf__less__than_0) ).
cnf(cls_Wellfounded__Relations_Owf__lex__prod_0,axiom,
( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(V_ra,V_rb,T_a,T_b),tc_prod(T_a,T_b))
| ~ c_Wellfounded__Recursion_Owf(V_ra,T_a)
| ~ c_Wellfounded__Recursion_Owf(V_rb,T_b) ),
file('MSC001-0.ax',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
cnf(clsarity_Datatype__Ooption_0,axiom,
( ~ class_Finite__Set_Ofinite(T_1)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(T_1)) ),
file('MSC001-0.ax',clsarity_Datatype__Ooption_0) ).
cnf(clsarity_IntDef__Oint_0,axiom,
class_HOL_Ominus(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_0) ).
cnf(clsarity_IntDef__Oint_1,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_1) ).
cnf(clsarity_IntDef__Oint_10,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_10) ).
cnf(clsarity_IntDef__Oint_11,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_11) ).
cnf(clsarity_IntDef__Oint_12,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_12) ).
cnf(clsarity_IntDef__Oint_13,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_13) ).
cnf(clsarity_IntDef__Oint_14,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_14) ).
cnf(clsarity_IntDef__Oint_15,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_15) ).
cnf(clsarity_IntDef__Oint_16,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_16) ).
cnf(clsarity_IntDef__Oint_17,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_17) ).
cnf(clsarity_IntDef__Oint_18,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_18) ).
cnf(clsarity_IntDef__Oint_19,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_19) ).
cnf(clsarity_IntDef__Oint_2,axiom,
class_HOL_Oplus(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_2) ).
cnf(clsarity_IntDef__Oint_20,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_20) ).
cnf(clsarity_IntDef__Oint_21,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_21) ).
cnf(clsarity_IntDef__Oint_22,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_22) ).
cnf(clsarity_IntDef__Oint_23,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_23) ).
cnf(clsarity_IntDef__Oint_24,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_24) ).
cnf(clsarity_IntDef__Oint_25,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_25) ).
cnf(clsarity_IntDef__Oint_26,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_26) ).
cnf(clsarity_IntDef__Oint_27,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_27) ).
cnf(clsarity_IntDef__Oint_28,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_28) ).
cnf(clsarity_IntDef__Oint_29,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_29) ).
cnf(clsarity_IntDef__Oint_3,axiom,
class_HOL_Otimes(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_3) ).
cnf(clsarity_IntDef__Oint_30,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_30) ).
cnf(clsarity_IntDef__Oint_31,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_31) ).
cnf(clsarity_IntDef__Oint_32,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_32) ).
cnf(clsarity_IntDef__Oint_33,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_33) ).
cnf(clsarity_IntDef__Oint_34,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_34) ).
cnf(clsarity_IntDef__Oint_35,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_35) ).
cnf(clsarity_IntDef__Oint_36,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_36) ).
cnf(clsarity_IntDef__Oint_37,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_37) ).
cnf(clsarity_IntDef__Oint_38,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_38) ).
cnf(clsarity_IntDef__Oint_39,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_39) ).
cnf(clsarity_IntDef__Oint_4,axiom,
class_HOL_Ozero(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_4) ).
cnf(clsarity_IntDef__Oint_40,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_40) ).
cnf(clsarity_IntDef__Oint_41,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_41) ).
cnf(clsarity_IntDef__Oint_42,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_42) ).
cnf(clsarity_IntDef__Oint_43,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_43) ).
cnf(clsarity_IntDef__Oint_44,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_44) ).
cnf(clsarity_IntDef__Oint_45,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_45) ).
cnf(clsarity_IntDef__Oint_46,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_46) ).
cnf(clsarity_IntDef__Oint_47,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_47) ).
cnf(clsarity_IntDef__Oint_48,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_48) ).
cnf(clsarity_IntDef__Oint_49,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_49) ).
cnf(clsarity_IntDef__Oint_5,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_5) ).
cnf(clsarity_IntDef__Oint_50,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_50) ).
cnf(clsarity_IntDef__Oint_51,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_51) ).
cnf(clsarity_IntDef__Oint_52,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_52) ).
cnf(clsarity_IntDef__Oint_53,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_53) ).
cnf(clsarity_IntDef__Oint_54,axiom,
class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_54) ).
cnf(clsarity_IntDef__Oint_55,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_55) ).
cnf(clsarity_IntDef__Oint_56,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_56) ).
cnf(clsarity_IntDef__Oint_57,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_57) ).
cnf(clsarity_IntDef__Oint_58,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_58) ).
cnf(clsarity_IntDef__Oint_59,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_59) ).
cnf(clsarity_IntDef__Oint_6,axiom,
class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_6) ).
cnf(clsarity_IntDef__Oint_60,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_60) ).
cnf(clsarity_IntDef__Oint_61,axiom,
class_Divides_Odiv(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_61) ).
cnf(clsarity_IntDef__Oint_62,axiom,
class_Nat_Opower(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_62) ).
cnf(clsarity_IntDef__Oint_63,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_63) ).
cnf(clsarity_IntDef__Oint_64,axiom,
class_Parity_Oeven__odd(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_64) ).
cnf(clsarity_IntDef__Oint_7,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_7) ).
cnf(clsarity_IntDef__Oint_8,axiom,
class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_8) ).
cnf(clsarity_IntDef__Oint_9,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
file('MSC001-0.ax',clsarity_IntDef__Oint_9) ).
cnf(clsarity_Product____Type__Ounit_0,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('MSC001-0.ax',clsarity_Product____Type__Ounit_0) ).
cnf(clsarity_bool_0,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('MSC001-0.ax',clsarity_bool_0) ).
cnf(clsarity_fun_0,axiom,
( ~ class_Finite__Set_Ofinite(T_2)
| ~ class_Finite__Set_Ofinite(T_1)
| class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ),
file('MSC001-0.ax',clsarity_fun_0) ).
cnf(clsarity_fun_1,axiom,
class_Nat_Opower(tc_fun(T_2,T_1)),
file('MSC001-0.ax',clsarity_fun_1) ).
cnf(clsarity_nat_0,axiom,
class_HOL_Oone(tc_nat),
file('MSC001-0.ax',clsarity_nat_0) ).
cnf(clsarity_nat_1,axiom,
class_HOL_Ozero(tc_nat),
file('MSC001-0.ax',clsarity_nat_1) ).
cnf(clsarity_nat_10,axiom,
class_HOL_Oplus(tc_nat),
file('MSC001-0.ax',clsarity_nat_10) ).
cnf(clsarity_nat_11,axiom,
class_HOL_Otimes(tc_nat),
file('MSC001-0.ax',clsarity_nat_11) ).
cnf(clsarity_nat_12,axiom,
class_Nat_Opower(tc_nat),
file('MSC001-0.ax',clsarity_nat_12) ).
cnf(clsarity_nat_13,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('MSC001-0.ax',clsarity_nat_13) ).
cnf(clsarity_nat_14,axiom,
class_OrderedGroup_Osemigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_14) ).
cnf(clsarity_nat_15,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_15) ).
cnf(clsarity_nat_16,axiom,
class_OrderedGroup_Osemigroup__mult(tc_nat),
file('MSC001-0.ax',clsarity_nat_16) ).
cnf(clsarity_nat_17,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('MSC001-0.ax',clsarity_nat_17) ).
cnf(clsarity_nat_18,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('MSC001-0.ax',clsarity_nat_18) ).
cnf(clsarity_nat_19,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('MSC001-0.ax',clsarity_nat_19) ).
cnf(clsarity_nat_2,axiom,
class_Orderings_Oord(tc_nat),
file('MSC001-0.ax',clsarity_nat_2) ).
cnf(clsarity_nat_20,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_20) ).
cnf(clsarity_nat_21,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('MSC001-0.ax',clsarity_nat_21) ).
cnf(clsarity_nat_22,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('MSC001-0.ax',clsarity_nat_22) ).
cnf(clsarity_nat_23,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('MSC001-0.ax',clsarity_nat_23) ).
cnf(clsarity_nat_24,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('MSC001-0.ax',clsarity_nat_24) ).
cnf(clsarity_nat_25,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('MSC001-0.ax',clsarity_nat_25) ).
cnf(clsarity_nat_26,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('MSC001-0.ax',clsarity_nat_26) ).
cnf(clsarity_nat_27,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_27) ).
cnf(clsarity_nat_28,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_28) ).
cnf(clsarity_nat_29,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('MSC001-0.ax',clsarity_nat_29) ).
cnf(clsarity_nat_3,axiom,
class_Orderings_Oorder(tc_nat),
file('MSC001-0.ax',clsarity_nat_3) ).
cnf(clsarity_nat_30,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('MSC001-0.ax',clsarity_nat_30) ).
cnf(clsarity_nat_31,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('MSC001-0.ax',clsarity_nat_31) ).
cnf(clsarity_nat_32,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('MSC001-0.ax',clsarity_nat_32) ).
cnf(clsarity_nat_33,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_33) ).
cnf(clsarity_nat_34,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_34) ).
cnf(clsarity_nat_35,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('MSC001-0.ax',clsarity_nat_35) ).
cnf(clsarity_nat_36,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('MSC001-0.ax',clsarity_nat_36) ).
cnf(clsarity_nat_37,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('MSC001-0.ax',clsarity_nat_37) ).
cnf(clsarity_nat_38,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('MSC001-0.ax',clsarity_nat_38) ).
cnf(clsarity_nat_39,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('MSC001-0.ax',clsarity_nat_39) ).
cnf(clsarity_nat_4,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('MSC001-0.ax',clsarity_nat_4) ).
cnf(clsarity_nat_40,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('MSC001-0.ax',clsarity_nat_40) ).
cnf(clsarity_nat_41,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('MSC001-0.ax',clsarity_nat_41) ).
cnf(clsarity_nat_42,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('MSC001-0.ax',clsarity_nat_42) ).
cnf(clsarity_nat_43,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('MSC001-0.ax',clsarity_nat_43) ).
cnf(clsarity_nat_44,axiom,
class_Divides_Odiv(tc_nat),
file('MSC001-0.ax',clsarity_nat_44) ).
cnf(clsarity_nat_45,axiom,
class_Power_Orecpower(tc_nat),
file('MSC001-0.ax',clsarity_nat_45) ).
cnf(clsarity_nat_46,axiom,
class_Numeral_Onumber(tc_nat),
file('MSC001-0.ax',clsarity_nat_46) ).
cnf(clsarity_nat_47,axiom,
class_Parity_Oeven__odd(tc_nat),
file('MSC001-0.ax',clsarity_nat_47) ).
cnf(clsarity_nat_5,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('MSC001-0.ax',clsarity_nat_5) ).
cnf(clsarity_nat_6,axiom,
class_LOrder_Olorder(tc_nat),
file('MSC001-0.ax',clsarity_nat_6) ).
cnf(clsarity_nat_7,axiom,
class_Orderings_Olinorder(tc_nat),
file('MSC001-0.ax',clsarity_nat_7) ).
cnf(clsarity_nat_8,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('MSC001-0.ax',clsarity_nat_8) ).
cnf(clsarity_nat_9,axiom,
class_HOL_Ominus(tc_nat),
file('MSC001-0.ax',clsarity_nat_9) ).
cnf(clsarity_prod_0,axiom,
( ~ class_Finite__Set_Ofinite(T_2)
| ~ class_Finite__Set_Ofinite(T_1)
| class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ),
file('MSC001-0.ax',clsarity_prod_0) ).
cnf(clsarity_set_0,axiom,
class_HOL_Ominus(tc_set(T_1)),
file('MSC001-0.ax',clsarity_set_0) ).
cnf(clsarity_set_1,axiom,
class_Orderings_Oord(tc_set(T_1)),
file('MSC001-0.ax',clsarity_set_1) ).
cnf(clsarity_set_2,axiom,
class_Orderings_Oorder(tc_set(T_1)),
file('MSC001-0.ax',clsarity_set_2) ).
cnf(clsarity_set_3,axiom,
( ~ class_Finite__Set_Ofinite(T_1)
| class_Finite__Set_Ofinite(tc_set(T_1)) ),
file('MSC001-0.ax',clsarity_set_3) ).
cnf(clsarity_set_4,axiom,
class_Nat_Opower(tc_set(T_1)),
file('MSC001-0.ax',clsarity_set_4) ).
cnf(clsarity_sum_0,axiom,
( ~ class_Finite__Set_Ofinite(T_2)
| ~ class_Finite__Set_Ofinite(T_1)
| class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ),
file('MSC001-0.ax',clsarity_sum_0) ).
cnf(clsrel_LOrder_Ojoin__semilorder_0,axiom,
( class_Orderings_Oord(T)
| ~ class_LOrder_Ojoin__semilorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Ojoin__semilorder_0) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( class_Orderings_Oorder(T)
| ~ class_LOrder_Ojoin__semilorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_LOrder_Olorder_0,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_LOrder_Olorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Olorder_0) ).
cnf(clsrel_LOrder_Olorder_1,axiom,
( class_Orderings_Oord(T)
| ~ class_LOrder_Olorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Olorder_1) ).
cnf(clsrel_LOrder_Olorder_2,axiom,
( class_Orderings_Oorder(T)
| ~ class_LOrder_Olorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Olorder_2) ).
cnf(clsrel_LOrder_Olorder_3,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_LOrder_Olorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Olorder_3) ).
cnf(clsrel_LOrder_Omeet__semilorder_0,axiom,
( class_Orderings_Oord(T)
| ~ class_LOrder_Omeet__semilorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Omeet__semilorder_0) ).
cnf(clsrel_LOrder_Omeet__semilorder_1,axiom,
( class_Orderings_Oorder(T)
| ~ class_LOrder_Omeet__semilorder(T) ),
file('MSC001-0.ax',clsrel_LOrder_Omeet__semilorder_1) ).
cnf(clsrel_Numeral_Onumber__ring_0,axiom,
( class_HOL_Oplus(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_0) ).
cnf(clsrel_Numeral_Onumber__ring_1,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_1) ).
cnf(clsrel_Numeral_Onumber__ring_10,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_10) ).
cnf(clsrel_Numeral_Onumber__ring_11,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_11) ).
cnf(clsrel_Numeral_Onumber__ring_12,axiom,
( class_HOL_Ominus(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_12) ).
cnf(clsrel_Numeral_Onumber__ring_13,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_13) ).
cnf(clsrel_Numeral_Onumber__ring_14,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_14) ).
cnf(clsrel_Numeral_Onumber__ring_15,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_15) ).
cnf(clsrel_Numeral_Onumber__ring_16,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_16) ).
cnf(clsrel_Numeral_Onumber__ring_17,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_17) ).
cnf(clsrel_Numeral_Onumber__ring_18,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_18) ).
cnf(clsrel_Numeral_Onumber__ring_19,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_19) ).
cnf(clsrel_Numeral_Onumber__ring_2,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_2) ).
cnf(clsrel_Numeral_Onumber__ring_20,axiom,
( class_HOL_Oone(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_20) ).
cnf(clsrel_Numeral_Onumber__ring_21,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_21) ).
cnf(clsrel_Numeral_Onumber__ring_22,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_22) ).
cnf(clsrel_Numeral_Onumber__ring_23,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_23) ).
cnf(clsrel_Numeral_Onumber__ring_24,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_24) ).
cnf(clsrel_Numeral_Onumber__ring_25,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_25) ).
cnf(clsrel_Numeral_Onumber__ring_26,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_26) ).
cnf(clsrel_Numeral_Onumber__ring_27,axiom,
( class_Ring__and__Field_Oring__1(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_27) ).
cnf(clsrel_Numeral_Onumber__ring_28,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_28) ).
cnf(clsrel_Numeral_Onumber__ring_29,axiom,
( class_Ring__and__Field_Ocomm__ring__1(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_29) ).
cnf(clsrel_Numeral_Onumber__ring_3,axiom,
( class_HOL_Otimes(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_3) ).
cnf(clsrel_Numeral_Onumber__ring_30,axiom,
( class_Numeral_Onumber(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_30) ).
cnf(clsrel_Numeral_Onumber__ring_4,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_4) ).
cnf(clsrel_Numeral_Onumber__ring_5,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_5) ).
cnf(clsrel_Numeral_Onumber__ring_6,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_6) ).
cnf(clsrel_Numeral_Onumber__ring_7,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_7) ).
cnf(clsrel_Numeral_Onumber__ring_8,axiom,
( class_HOL_Ozero(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_8) ).
cnf(clsrel_Numeral_Onumber__ring_9,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Numeral_Onumber__ring(T) ),
file('MSC001-0.ax',clsrel_Numeral_Onumber__ring_9) ).
cnf(clsrel_OrderedGroup_Oab__group__add_0,axiom,
( class_HOL_Ominus(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_0) ).
cnf(clsrel_OrderedGroup_Oab__group__add_1,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_1) ).
cnf(clsrel_OrderedGroup_Oab__group__add_2,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_2) ).
cnf(clsrel_OrderedGroup_Oab__group__add_3,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_3) ).
cnf(clsrel_OrderedGroup_Oab__group__add_4,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_4) ).
cnf(clsrel_OrderedGroup_Oab__group__add_5,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_5) ).
cnf(clsrel_OrderedGroup_Oab__group__add_6,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_6) ).
cnf(clsrel_OrderedGroup_Oab__group__add_7,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Oab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_7) ).
cnf(clsrel_OrderedGroup_Oab__semigroup__add_0,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Oab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__add_0) ).
cnf(clsrel_OrderedGroup_Oab__semigroup__add_1,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Oab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__add_1) ).
cnf(clsrel_OrderedGroup_Oab__semigroup__mult_0,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_OrderedGroup_Oab__semigroup__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__mult_0) ).
cnf(clsrel_OrderedGroup_Oab__semigroup__mult_1,axiom,
( class_HOL_Otimes(T)
| ~ class_OrderedGroup_Oab__semigroup__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__mult_1) ).
cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0) ).
cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1) ).
cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2) ).
cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3) ).
cnf(clsrel_OrderedGroup_Ocancel__semigroup__add_0,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Ocancel__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocancel__semigroup__add_0) ).
cnf(clsrel_OrderedGroup_Ocancel__semigroup__add_1,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Ocancel__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocancel__semigroup__add_1) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__add_0,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Ocomm__monoid__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_0) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__add_1,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Ocomm__monoid__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_1) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__add_2,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Ocomm__monoid__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_2) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__add_3,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Ocomm__monoid__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_3) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_0,axiom,
( class_HOL_Oone(T)
| ~ class_OrderedGroup_Ocomm__monoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_0) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_1,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_OrderedGroup_Ocomm__monoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_1) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_2,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_OrderedGroup_Ocomm__monoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_2) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_3,axiom,
( class_HOL_Otimes(T)
| ~ class_OrderedGroup_Ocomm__monoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_3) ).
cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_4,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_OrderedGroup_Ocomm__monoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_4) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_1,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_10,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_10) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_11) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_12,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_12) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_13,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_13) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_14,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_14) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_15,axiom,
( class_LOrder_Olorder(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_15) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_16,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_16) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_17,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_17) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_2,axiom,
( class_HOL_Ominus(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_2) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_3,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_3) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_4,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_4) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_5,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_5) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_6,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_6) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_7,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_7) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_8,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_8) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_9,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_9) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_0,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_10,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_10) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_11,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_11) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_12) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_13,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_13) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_14,axiom,
( class_LOrder_Olorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_16,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_18,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_2,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_2) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_3,axiom,
( class_HOL_Ominus(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_3) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_4,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_4) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_5,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_5) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_6,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_7,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_8,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_9,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_9) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_1,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_10,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_10) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_11) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_12,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_12) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_13,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_13) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_14,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_14) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_15,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_16,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_17,axiom,
( class_LOrder_Olorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_18,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_2,axiom,
( class_HOL_Ominus(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_2) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_3,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_3) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_4,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_4) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_5,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_6,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_7,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_8,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__join_9,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Olordered__ab__group__join(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_1,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_10,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_10) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_11) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_12,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_12) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_13,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_13) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_14,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_14) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_15,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_16,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_17,axiom,
( class_LOrder_Olorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_18,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_2,axiom,
( class_HOL_Ominus(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_2) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_3,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_3) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_4,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_4) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_5,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_6,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_7,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_8,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_9,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Olordered__ab__group__meet(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
cnf(clsrel_OrderedGroup_Omonoid__mult_0,axiom,
( class_HOL_Oone(T)
| ~ class_OrderedGroup_Omonoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Omonoid__mult_0) ).
cnf(clsrel_OrderedGroup_Omonoid__mult_1,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_OrderedGroup_Omonoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Omonoid__mult_1) ).
cnf(clsrel_OrderedGroup_Omonoid__mult_2,axiom,
( class_HOL_Otimes(T)
| ~ class_OrderedGroup_Omonoid__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Omonoid__mult_2) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10,axiom,
( class_LOrder_Olorder(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8) ).
cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9,axiom,
( class_Orderings_Olinorder(T)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_1,axiom,
( class_HOL_Ominus(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_1) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_10,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_11,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_12,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_13,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_2,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_2) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_3,axiom,
( class_HOL_Ozero(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_3) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_4,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_4) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_5,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_5) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_6,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_6) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_7,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_7) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_8,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_8) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_9,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_0,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_1,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_2,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_2) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_3,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_3) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_4,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_4) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7) ).
cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1,axiom,
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2,axiom,
( class_Orderings_Oord(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6) ).
cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7) ).
cnf(clsrel_OrderedGroup_Osemigroup__add_0,axiom,
( class_HOL_Oplus(T)
| ~ class_OrderedGroup_Osemigroup__add(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Osemigroup__add_0) ).
cnf(clsrel_OrderedGroup_Osemigroup__mult_0,axiom,
( class_HOL_Otimes(T)
| ~ class_OrderedGroup_Osemigroup__mult(T) ),
file('MSC001-0.ax',clsrel_OrderedGroup_Osemigroup__mult_0) ).
cnf(clsrel_Orderings_Olinorder_0,axiom,
( class_LOrder_Olorder(T)
| ~ class_Orderings_Olinorder(T) ),
file('MSC001-0.ax',clsrel_Orderings_Olinorder_0) ).
cnf(clsrel_Orderings_Olinorder_1,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Orderings_Olinorder(T) ),
file('MSC001-0.ax',clsrel_Orderings_Olinorder_1) ).
cnf(clsrel_Orderings_Olinorder_2,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Orderings_Olinorder(T) ),
file('MSC001-0.ax',clsrel_Orderings_Olinorder_2) ).
cnf(clsrel_Orderings_Olinorder_3,axiom,
( class_Orderings_Oord(T)
| ~ class_Orderings_Olinorder(T) ),
file('MSC001-0.ax',clsrel_Orderings_Olinorder_3) ).
cnf(clsrel_Orderings_Olinorder_4,axiom,
( class_Orderings_Oorder(T)
| ~ class_Orderings_Olinorder(T) ),
file('MSC001-0.ax',clsrel_Orderings_Olinorder_4) ).
cnf(clsrel_Orderings_Oorder_0,axiom,
( class_Orderings_Oord(T)
| ~ class_Orderings_Oorder(T) ),
file('MSC001-0.ax',clsrel_Orderings_Oorder_0) ).
cnf(clsrel_Power_Orecpower_0,axiom,
( class_Nat_Opower(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_0) ).
cnf(clsrel_Power_Orecpower_1,axiom,
( class_HOL_Ozero(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_1) ).
cnf(clsrel_Power_Orecpower_10,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_10) ).
cnf(clsrel_Power_Orecpower_11,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_11) ).
cnf(clsrel_Power_Orecpower_12,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_12) ).
cnf(clsrel_Power_Orecpower_13,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_13) ).
cnf(clsrel_Power_Orecpower_14,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_14) ).
cnf(clsrel_Power_Orecpower_15,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_15) ).
cnf(clsrel_Power_Orecpower_16,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_16) ).
cnf(clsrel_Power_Orecpower_17,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_17) ).
cnf(clsrel_Power_Orecpower_18,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_18) ).
cnf(clsrel_Power_Orecpower_19,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_19) ).
cnf(clsrel_Power_Orecpower_2,axiom,
( class_HOL_Oone(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_2) ).
cnf(clsrel_Power_Orecpower_20,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_20) ).
cnf(clsrel_Power_Orecpower_21,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_21) ).
cnf(clsrel_Power_Orecpower_22,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_22) ).
cnf(clsrel_Power_Orecpower_23,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_23) ).
cnf(clsrel_Power_Orecpower_24,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_24) ).
cnf(clsrel_Power_Orecpower_3,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_3) ).
cnf(clsrel_Power_Orecpower_4,axiom,
( class_HOL_Oplus(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_4) ).
cnf(clsrel_Power_Orecpower_5,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_5) ).
cnf(clsrel_Power_Orecpower_6,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_6) ).
cnf(clsrel_Power_Orecpower_7,axiom,
( class_HOL_Otimes(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_7) ).
cnf(clsrel_Power_Orecpower_8,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_8) ).
cnf(clsrel_Power_Orecpower_9,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Power_Orecpower(T) ),
file('MSC001-0.ax',clsrel_Power_Orecpower_9) ).
cnf(clsrel_Ring__and__Field_Oaxclass__0__neq__1_0,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__0__neq__1_0) ).
cnf(clsrel_Ring__and__Field_Oaxclass__0__neq__1_1,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__0__neq__1_1) ).
cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_0,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oaxclass__abs__if(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__abs__if_0) ).
cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_1,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oaxclass__abs__if(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_2,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oaxclass__abs__if(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__abs__if_2) ).
cnf(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0) ).
cnf(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_1,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_10,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_10) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_11,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_11) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_12,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_12) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_13,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_13) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_14,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_14) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_15,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_15) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_16,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_16) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_17,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_17) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_18,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_18) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_2,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_3,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_4,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_5,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_6,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_7,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_7) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_8,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_8) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring_9,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_9) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_0,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_1,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_10,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_10) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_11,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_11) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_12,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_12) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_13,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_13) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_14,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_14) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_15,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_15) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_16,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_16) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_17,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_17) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_18,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_18) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_19,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_19) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_2,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_20,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_20) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_21,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_21) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_22,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_22) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_23,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_23) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_24,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_24) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_25,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_25) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_26,axiom,
( class_Ring__and__Field_Oring__1(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_26) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_27,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_27) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_28,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_28) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_3,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_4,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_5,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_6,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_7,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_7) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_8,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_8) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_9,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ocomm__ring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_9) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_1,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_2,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_3,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_4,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_5,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring_6,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_1,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_10,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_10) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_2,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_3,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_4,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_5,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_6,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_7,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_7) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_8,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_8) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_9,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_9) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_1,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_10,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_10) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_11) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_12) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_13,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_13) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_14,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_14) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_15,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_15) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_16,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_16) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_2,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_3,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_4,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_5,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_6,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_7,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_7) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_8,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_8) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_9,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_9) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9) ).
cnf(clsrel_Ring__and__Field_Odivision__by__zero_0,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Odivision__by__zero(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Odivision__by__zero_0) ).
cnf(clsrel_Ring__and__Field_Odivision__by__zero_1,axiom,
( class_HOL_Oinverse(T)
| ~ class_Ring__and__Field_Odivision__by__zero(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Odivision__by__zero_1) ).
cnf(clsrel_Ring__and__Field_Ofield_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_0) ).
cnf(clsrel_Ring__and__Field_Ofield_1,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_1) ).
cnf(clsrel_Ring__and__Field_Ofield_10,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_10) ).
cnf(clsrel_Ring__and__Field_Ofield_11,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_11) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_12) ).
cnf(clsrel_Ring__and__Field_Ofield_13,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_13) ).
cnf(clsrel_Ring__and__Field_Ofield_14,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_14) ).
cnf(clsrel_Ring__and__Field_Ofield_15,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_15) ).
cnf(clsrel_Ring__and__Field_Ofield_16,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_16) ).
cnf(clsrel_Ring__and__Field_Ofield_17,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_17) ).
cnf(clsrel_Ring__and__Field_Ofield_18,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_18) ).
cnf(clsrel_Ring__and__Field_Ofield_19,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_19) ).
cnf(clsrel_Ring__and__Field_Ofield_2,axiom,
( class_Ring__and__Field_Oring__1(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_2) ).
cnf(clsrel_Ring__and__Field_Ofield_20,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_20) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_21) ).
cnf(clsrel_Ring__and__Field_Ofield_22,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_22) ).
cnf(clsrel_Ring__and__Field_Ofield_23,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_23) ).
cnf(clsrel_Ring__and__Field_Ofield_24,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_24) ).
cnf(clsrel_Ring__and__Field_Ofield_25,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_25) ).
cnf(clsrel_Ring__and__Field_Ofield_26,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_26) ).
cnf(clsrel_Ring__and__Field_Ofield_27,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_27) ).
cnf(clsrel_Ring__and__Field_Ofield_28,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_28) ).
cnf(clsrel_Ring__and__Field_Ofield_29,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_29) ).
cnf(clsrel_Ring__and__Field_Ofield_3,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_3) ).
cnf(clsrel_Ring__and__Field_Ofield_30,axiom,
( class_HOL_Oinverse(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_30) ).
cnf(clsrel_Ring__and__Field_Ofield_31,axiom,
( class_Ring__and__Field_Oidom(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_31) ).
cnf(clsrel_Ring__and__Field_Ofield_32,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_32) ).
cnf(clsrel_Ring__and__Field_Ofield_4,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_4) ).
cnf(clsrel_Ring__and__Field_Ofield_5,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_5) ).
cnf(clsrel_Ring__and__Field_Ofield_6,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_6) ).
cnf(clsrel_Ring__and__Field_Ofield_7,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_7) ).
cnf(clsrel_Ring__and__Field_Ofield_8,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_8) ).
cnf(clsrel_Ring__and__Field_Ofield_9,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Ofield_9) ).
cnf(clsrel_Ring__and__Field_Oidom_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_0) ).
cnf(clsrel_Ring__and__Field_Oidom_1,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_1) ).
cnf(clsrel_Ring__and__Field_Oidom_10,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_10) ).
cnf(clsrel_Ring__and__Field_Oidom_11,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_11) ).
cnf(clsrel_Ring__and__Field_Oidom_12,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_12) ).
cnf(clsrel_Ring__and__Field_Oidom_13,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_13) ).
cnf(clsrel_Ring__and__Field_Oidom_14,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_14) ).
cnf(clsrel_Ring__and__Field_Oidom_15,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_15) ).
cnf(clsrel_Ring__and__Field_Oidom_16,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_16) ).
cnf(clsrel_Ring__and__Field_Oidom_17,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_17) ).
cnf(clsrel_Ring__and__Field_Oidom_18,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_18) ).
cnf(clsrel_Ring__and__Field_Oidom_19,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_19) ).
cnf(clsrel_Ring__and__Field_Oidom_2,axiom,
( class_Ring__and__Field_Oring__1(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_2) ).
cnf(clsrel_Ring__and__Field_Oidom_20,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_20) ).
cnf(clsrel_Ring__and__Field_Oidom_21,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_21) ).
cnf(clsrel_Ring__and__Field_Oidom_22,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_22) ).
cnf(clsrel_Ring__and__Field_Oidom_23,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_23) ).
cnf(clsrel_Ring__and__Field_Oidom_24,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_24) ).
cnf(clsrel_Ring__and__Field_Oidom_25,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_25) ).
cnf(clsrel_Ring__and__Field_Oidom_26,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_26) ).
cnf(clsrel_Ring__and__Field_Oidom_27,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_27) ).
cnf(clsrel_Ring__and__Field_Oidom_28,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_28) ).
cnf(clsrel_Ring__and__Field_Oidom_29,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_29) ).
cnf(clsrel_Ring__and__Field_Oidom_3,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_3) ).
cnf(clsrel_Ring__and__Field_Oidom_30,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_30) ).
cnf(clsrel_Ring__and__Field_Oidom_4,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_4) ).
cnf(clsrel_Ring__and__Field_Oidom_5,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_5) ).
cnf(clsrel_Ring__and__Field_Oidom_6,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_6) ).
cnf(clsrel_Ring__and__Field_Oidom_7,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_7) ).
cnf(clsrel_Ring__and__Field_Oidom_8,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_8) ).
cnf(clsrel_Ring__and__Field_Oidom_9,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Oidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oidom_9) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_0,axiom,
( class_Ring__and__Field_Opordered__ring(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_0) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_1,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_1) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_10,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_10) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_11,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_11) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_12,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_12) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_13,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_13) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_14,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_14) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_15,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_15) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_16,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_16) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_17,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_17) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_18,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_18) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_19,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_19) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_2,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_2) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_20,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_20) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_21,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_21) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_22,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_22) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_23,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_23) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_24,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_24) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_25,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_25) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_26,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_26) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_27,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_27) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_28,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_28) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_29,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_29) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_3,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_3) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_30,axiom,
( class_OrderedGroup_Olordered__ab__group__join(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_30) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_4,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_4) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_5,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_5) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_6,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_6) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_7,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_7) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_8,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_8) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_9,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_9) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8) ).
cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( class_Ring__and__Field_Ofield(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_1,axiom,
( class_HOL_Oinverse(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_1) ).
cnf(clsrel_Ring__and__Field_Oordered__field_10,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_10) ).
cnf(clsrel_Ring__and__Field_Oordered__field_11,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_11) ).
cnf(clsrel_Ring__and__Field_Oordered__field_12,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_12) ).
cnf(clsrel_Ring__and__Field_Oordered__field_13,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_13) ).
cnf(clsrel_Ring__and__Field_Oordered__field_14,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_14) ).
cnf(clsrel_Ring__and__Field_Oordered__field_15,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_15) ).
cnf(clsrel_Ring__and__Field_Oordered__field_16,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_16) ).
cnf(clsrel_Ring__and__Field_Oordered__field_17,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_17) ).
cnf(clsrel_Ring__and__Field_Oordered__field_18,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_18) ).
cnf(clsrel_Ring__and__Field_Oordered__field_19,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_19) ).
cnf(clsrel_Ring__and__Field_Oordered__field_2,axiom,
( class_Ring__and__Field_Oidom(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_2) ).
cnf(clsrel_Ring__and__Field_Oordered__field_20,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_20) ).
cnf(clsrel_Ring__and__Field_Oordered__field_21,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_21) ).
cnf(clsrel_Ring__and__Field_Oordered__field_22,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_22) ).
cnf(clsrel_Ring__and__Field_Oordered__field_23,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_23) ).
cnf(clsrel_Ring__and__Field_Oordered__field_24,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_24) ).
cnf(clsrel_Ring__and__Field_Oordered__field_25,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_25) ).
cnf(clsrel_Ring__and__Field_Oordered__field_26,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_26) ).
cnf(clsrel_Ring__and__Field_Oordered__field_27,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_27) ).
cnf(clsrel_Ring__and__Field_Oordered__field_28,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_28) ).
cnf(clsrel_Ring__and__Field_Oordered__field_29,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_29) ).
cnf(clsrel_Ring__and__Field_Oordered__field_3,axiom,
( class_Ring__and__Field_Ocomm__ring__1(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_3) ).
cnf(clsrel_Ring__and__Field_Oordered__field_30,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_30) ).
cnf(clsrel_Ring__and__Field_Oordered__field_31,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_31) ).
cnf(clsrel_Ring__and__Field_Oordered__field_32,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_32) ).
cnf(clsrel_Ring__and__Field_Oordered__field_33,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_33) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( class_Ring__and__Field_Oordered__idom(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(clsrel_Ring__and__Field_Oordered__field_35,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_35) ).
cnf(clsrel_Ring__and__Field_Oordered__field_36,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_36) ).
cnf(clsrel_Ring__and__Field_Oordered__field_37,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_37) ).
cnf(clsrel_Ring__and__Field_Oordered__field_38,axiom,
( class_Ring__and__Field_Oordered__ring__strict(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_38) ).
cnf(clsrel_Ring__and__Field_Oordered__field_39,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_39) ).
cnf(clsrel_Ring__and__Field_Oordered__field_4,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_4) ).
cnf(clsrel_Ring__and__Field_Oordered__field_40,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_40) ).
cnf(clsrel_Ring__and__Field_Oordered__field_41,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_41) ).
cnf(clsrel_Ring__and__Field_Oordered__field_42,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_42) ).
cnf(clsrel_Ring__and__Field_Oordered__field_43,axiom,
( class_Ring__and__Field_Olordered__ring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_43) ).
cnf(clsrel_Ring__and__Field_Oordered__field_44,axiom,
( class_Ring__and__Field_Opordered__ring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_44) ).
cnf(clsrel_Ring__and__Field_Oordered__field_45,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_45) ).
cnf(clsrel_Ring__and__Field_Oordered__field_46,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_46) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(clsrel_Ring__and__Field_Oordered__field_48,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_48) ).
cnf(clsrel_Ring__and__Field_Oordered__field_49,axiom,
( class_OrderedGroup_Olordered__ab__group__join(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_49) ).
cnf(clsrel_Ring__and__Field_Oordered__field_5,axiom,
( class_Ring__and__Field_Oring__1(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_5) ).
cnf(clsrel_Ring__and__Field_Oordered__field_50,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_50) ).
cnf(clsrel_Ring__and__Field_Oordered__field_51,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_51) ).
cnf(clsrel_Ring__and__Field_Oordered__field_52,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_52) ).
cnf(clsrel_Ring__and__Field_Oordered__field_53,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_53) ).
cnf(clsrel_Ring__and__Field_Oordered__field_54,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_54) ).
cnf(clsrel_Ring__and__Field_Oordered__field_55,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_55) ).
cnf(clsrel_Ring__and__Field_Oordered__field_56,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_56) ).
cnf(clsrel_Ring__and__Field_Oordered__field_57,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_57) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(clsrel_Ring__and__Field_Oordered__field_59,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_59) ).
cnf(clsrel_Ring__and__Field_Oordered__field_6,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_6) ).
cnf(clsrel_Ring__and__Field_Oordered__field_60,axiom,
( class_Ring__and__Field_Oordered__semidom(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_60) ).
cnf(clsrel_Ring__and__Field_Oordered__field_7,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_7) ).
cnf(clsrel_Ring__and__Field_Oordered__field_8,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_8) ).
cnf(clsrel_Ring__and__Field_Oordered__field_9,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Ring__and__Field_Oordered__field(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_9) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_1,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_10,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_10) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_11,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_11) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_12,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_12) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_13,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_13) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_14,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_14) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_15,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_15) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_16,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_16) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_17) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_18,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_18) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_19,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_19) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_2,axiom,
( class_Ring__and__Field_Oring__1(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_2) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_20,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_20) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_21) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_22,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_22) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_24,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_24) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_25,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_25) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_26,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_26) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_27,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_27) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_28,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_28) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_29,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_29) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_3,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_3) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_30,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_30) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_31,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_31) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_32,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_32) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_34,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_34) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_35) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_36,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_36) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_38,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_38) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_39,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_39) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_41,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_41) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_43,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_43) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_45,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_45) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_46,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_46) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_47,axiom,
( class_Ring__and__Field_Oordered__ring__strict(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_47) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_48,axiom,
( class_Ring__and__Field_Olordered__ring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_48) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_49,axiom,
( class_Ring__and__Field_Opordered__ring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_49) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_5,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_5) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_51,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_51) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_52,axiom,
( class_OrderedGroup_Olordered__ab__group__join(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_52) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_53,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_53) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_55,axiom,
( class_Ring__and__Field_Oordered__semidom(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_55) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_56,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_56) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_57,axiom,
( class_Ring__and__Field_Oidom(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_57) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_6,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_6) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_7,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_7) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_8,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_8) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_9,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_9) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_0,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_0) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_1,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_1) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_10,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_10) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_11) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_12) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_13,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_13) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_14,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_14) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_15,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_16,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_17,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_18,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_19,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_2,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_2) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_20,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_21,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_22,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_23,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_24,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_25,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_26,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_27,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_28,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_29,axiom,
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_3,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_3) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_30,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_31,axiom,
( class_Ring__and__Field_Olordered__ring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_32,axiom,
( class_Ring__and__Field_Opordered__ring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_33,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_34,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_35,axiom,
( class_OrderedGroup_Olordered__ab__group__join(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_36,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_36) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_4,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_4) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_5,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_5) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_6,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_6) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_7,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_7) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_8,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_8) ).
cnf(clsrel_Ring__and__Field_Oordered__ring__strict_9,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_9) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_0) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_1,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_1) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_10,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_10) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_11,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_11) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_12,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_12) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_13,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_13) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_14,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_14) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_15,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_15) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_16,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_16) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_17,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_17) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_18,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_18) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_19,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_19) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_2,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_2) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_20,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_20) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_21,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_21) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_22,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_22) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_23,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_23) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_24,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_24) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_25,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_25) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_26,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_26) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_27,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_27) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_28,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_28) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_29,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_29) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_3,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_3) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_30,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_30) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_31,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_31) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_32,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_32) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_33,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_34,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_34) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_35,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_35) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_36,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_36) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_37,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_37) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_38,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_38) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_39,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_39) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_4,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_4) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_5,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_5) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_6,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_6) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_7,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_7) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_8,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_8) ).
cnf(clsrel_Ring__and__Field_Oordered__semidom_9,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_9) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_0,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_0) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_1,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_1) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_10,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_11,axiom,
( class_LOrder_Olorder(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_12,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_13,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_14,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_15,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_16,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_17,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_18,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_19,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_19) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_2,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_2) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_20,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_20) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_21,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_21) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_22,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_23,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_3,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_3) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_4,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_4) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_5,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_5) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_6,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_6) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_7,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_7) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_8,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_8) ).
cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_9,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_0,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_1,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_1) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_10,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_10) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_11,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_12,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_13,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_13) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_14,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_14) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_15,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_15) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_2,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_2) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_3,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_3) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_4,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_4) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_5,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_5) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_6,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_6) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_7,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_8,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_8) ).
cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_9,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_9) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_0,axiom,
( class_Ring__and__Field_Ocomm__ring(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_0) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_1,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_1) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_10,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_10) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_11,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_11) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_12,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_12) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_13,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_13) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_14,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_14) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_15,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_15) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_16,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_16) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_17,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_17) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_18,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_18) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_19,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_19) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_2,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_2) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_20,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_20) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_21,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_21) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_22,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_22) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_23,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_23) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_24,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_24) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_3,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_3) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_4,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_4) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_5,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_5) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_6,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_6) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_7,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_7) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_8,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_8) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__ring_9,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Opordered__comm__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_9) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_0) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_1,axiom,
( class_Ring__and__Field_Ocomm__semiring(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_1) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_10,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_10) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_11,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_11) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_12,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_13,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_14,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_15,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_2,axiom,
( class_OrderedGroup_Oab__semigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_2) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_3,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_3) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_4,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_4) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_5,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_5) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_6,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_6) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_7,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_7) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_8,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_8) ).
cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_9,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Opordered__comm__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_9) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_0,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_0) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_1,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_1) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_10,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_10) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_11) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_12) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_13,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_13) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_14,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_14) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_15,axiom,
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_15) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_16,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_16) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_17,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_17) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_18,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_18) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_19,axiom,
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_19) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_2,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_2) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_20,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_20) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_21,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_21) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_22,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_22) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_3,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_3) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_4,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_4) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_5,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_5) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_6,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_6) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_7,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_7) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_8,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_8) ).
cnf(clsrel_Ring__and__Field_Opordered__ring_9,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Opordered__ring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_9) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_0,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_0) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_1,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_1) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_10,axiom,
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_10) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_11,axiom,
( class_Orderings_Oord(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_11) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_2,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_2) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_3,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_3) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_4,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_4) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_5,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_5) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_6,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_6) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_7,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_7) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_8,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_8) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_9,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_9) ).
cnf(clsrel_Ring__and__Field_Oring_0,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_0) ).
cnf(clsrel_Ring__and__Field_Oring_1,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_1) ).
cnf(clsrel_Ring__and__Field_Oring_10,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_10) ).
cnf(clsrel_Ring__and__Field_Oring_11,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_11) ).
cnf(clsrel_Ring__and__Field_Oring_12,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_12) ).
cnf(clsrel_Ring__and__Field_Oring_13,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_13) ).
cnf(clsrel_Ring__and__Field_Oring_2,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_2) ).
cnf(clsrel_Ring__and__Field_Oring_3,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_3) ).
cnf(clsrel_Ring__and__Field_Oring_4,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_4) ).
cnf(clsrel_Ring__and__Field_Oring_5,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_5) ).
cnf(clsrel_Ring__and__Field_Oring_6,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_6) ).
cnf(clsrel_Ring__and__Field_Oring_7,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_7) ).
cnf(clsrel_Ring__and__Field_Oring_8,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_8) ).
cnf(clsrel_Ring__and__Field_Oring_9,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring_9) ).
cnf(clsrel_Ring__and__Field_Oring__1_0,axiom,
( class_Ring__and__Field_Oring(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_0) ).
cnf(clsrel_Ring__and__Field_Oring__1_1,axiom,
( class_OrderedGroup_Oab__group__add(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_1) ).
cnf(clsrel_Ring__and__Field_Oring__1_10,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_10) ).
cnf(clsrel_Ring__and__Field_Oring__1_11,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_11) ).
cnf(clsrel_Ring__and__Field_Oring__1_12,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_12) ).
cnf(clsrel_Ring__and__Field_Oring__1_13,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_13) ).
cnf(clsrel_Ring__and__Field_Oring__1_14,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_14) ).
cnf(clsrel_Ring__and__Field_Oring__1_15,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_15) ).
cnf(clsrel_Ring__and__Field_Oring__1_16,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_16) ).
cnf(clsrel_Ring__and__Field_Oring__1_17,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_17) ).
cnf(clsrel_Ring__and__Field_Oring__1_18,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_18) ).
cnf(clsrel_Ring__and__Field_Oring__1_19,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_19) ).
cnf(clsrel_Ring__and__Field_Oring__1_2,axiom,
( class_HOL_Ominus(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_2) ).
cnf(clsrel_Ring__and__Field_Oring__1_3,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_3) ).
cnf(clsrel_Ring__and__Field_Oring__1_4,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_4) ).
cnf(clsrel_Ring__and__Field_Oring__1_5,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_5) ).
cnf(clsrel_Ring__and__Field_Oring__1_6,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_6) ).
cnf(clsrel_Ring__and__Field_Oring__1_7,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_7) ).
cnf(clsrel_Ring__and__Field_Oring__1_8,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_8) ).
cnf(clsrel_Ring__and__Field_Oring__1_9,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Oring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_9) ).
cnf(clsrel_Ring__and__Field_Osemiring_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_0) ).
cnf(clsrel_Ring__and__Field_Osemiring_1,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Osemiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_1) ).
cnf(clsrel_Ring__and__Field_Osemiring_2,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Osemiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_2) ).
cnf(clsrel_Ring__and__Field_Osemiring_3,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Osemiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_3) ).
cnf(clsrel_Ring__and__Field_Osemiring_4,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Osemiring(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_4) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_0,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_0) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_1,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_1) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_2,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_2) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_3,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_3) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_4,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_4) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_5,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_5) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_6,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_6) ).
cnf(clsrel_Ring__and__Field_Osemiring__0_7,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Osemiring__0(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_7) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_0,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_0) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_1,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_1) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_10,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_10) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_2,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_2) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_3,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_3) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_4,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_4) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_5,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_5) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_6,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_6) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_7,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_7) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_8,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_8) ).
cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_9,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__0__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_9) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_0,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_0) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_1,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_1) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_10,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_10) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_11,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_11) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_2,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_2) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_3,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_3) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_4,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_4) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_5,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_5) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_6,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_6) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_7,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_7) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_8,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_8) ).
cnf(clsrel_Ring__and__Field_Osemiring__1_9,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__1(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_9) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_0,axiom,
( class_Ring__and__Field_Osemiring__1(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_0) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_1,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_1) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_10,axiom,
( class_HOL_Oone(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_10) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_11,axiom,
( class_OrderedGroup_Osemigroup__mult(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_11) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_12,axiom,
( class_HOL_Otimes(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_12) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_13,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_13) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_14,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_14) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_15,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_15) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_2,axiom,
( class_Ring__and__Field_Osemiring__0(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_2) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_3,axiom,
( class_Ring__and__Field_Osemiring(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_3) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_4,axiom,
( class_OrderedGroup_Ocomm__monoid__add(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_4) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_5,axiom,
( class_HOL_Ozero(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_5) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_6,axiom,
( class_OrderedGroup_Oab__semigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_6) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_7,axiom,
( class_OrderedGroup_Osemigroup__add(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_7) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_8,axiom,
( class_HOL_Oplus(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_8) ).
cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_9,axiom,
( class_OrderedGroup_Omonoid__mult(T)
| ~ class_Ring__and__Field_Osemiring__1__cancel(T) ),
file('MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_9) ).
cnf(clsrel_Wellfounded__Recursion_Owellorder_0,axiom,
( class_Orderings_Oord(T)
| ~ class_Wellfounded__Recursion_Owellorder(T) ),
file('MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_0) ).
cnf(clsrel_Wellfounded__Recursion_Owellorder_1,axiom,
( class_Orderings_Oorder(T)
| ~ class_Wellfounded__Recursion_Owellorder(T) ),
file('MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_1) ).
cnf(clsrel_Wellfounded__Recursion_Owellorder_2,axiom,
( class_LOrder_Omeet__semilorder(T)
| ~ class_Wellfounded__Recursion_Owellorder(T) ),
file('MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_2) ).
cnf(clsrel_Wellfounded__Recursion_Owellorder_3,axiom,
( class_LOrder_Ojoin__semilorder(T)
| ~ class_Wellfounded__Recursion_Owellorder(T) ),
file('MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_3) ).
cnf(clsrel_Wellfounded__Recursion_Owellorder_4,axiom,
( class_LOrder_Olorder(T)
| ~ class_Wellfounded__Recursion_Owellorder(T) ),
file('MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_4) ).
cnf(clsrel_Wellfounded__Recursion_Owellorder_5,axiom,
( class_Orderings_Olinorder(T)
| ~ class_Wellfounded__Recursion_Owellorder(T) ),
file('MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_5) ).
cnf(cls_Datatype_Oelem__o2s__iff1_0,axiom,
( V_xo = c_Datatype_Ooption_OSome(V_x,T_a)
| ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a) ),
file('MSC001-2.ax',cls_Datatype_Oelem__o2s__iff1_0) ).
cnf(cls_Datatype_Oelem__o2s__iff2_0,axiom,
c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a),
file('MSC001-2.ax',cls_Datatype_Oelem__o2s__iff2_0) ).
cnf(cls_Datatype_Onot__None__eq__iff1_0,axiom,
( V_x = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(V_x,T_a),T_a)
| V_x = c_Datatype_Ooption_ONone ),
file('MSC001-2.ax',cls_Datatype_Onot__None__eq__iff1_0) ).
cnf(cls_Datatype_Onot__Some__eq__iff1_0,axiom,
( V_x = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(V_x,T_a),T_a)
| V_x = c_Datatype_Ooption_ONone ),
file('MSC001-2.ax',cls_Datatype_Onot__Some__eq__iff1_0) ).
cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
file('MSC001-2.ax',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
cnf(cls_Datatype_Ooption_Odistinct__2__iff1_0,axiom,
c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone,
file('MSC001-2.ax',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).
cnf(cls_Datatype_Ooption_Oinject__iff1_0,axiom,
( V_a = V_a_H
| c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a) ),
file('MSC001-2.ax',cls_Datatype_Ooption_Oinject__iff1_0) ).
cnf(cls_Datatype__Universe_OAtom__Atom__eq__iff1_0,axiom,
( V_a = V_b
| c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OAtom(V_b,T_a,T_b) ),
file('MSC001-2.ax',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
cnf(cls_Datatype__Universe_OAtom__not__Scons__iff1_0,axiom,
c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
cnf(cls_Datatype__Universe_OIn0__eq__iff1_0,axiom,
( V_M = V_N
| c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn0(V_N,T_a,T_b) ),
file('MSC001-2.ax',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
cnf(cls_Datatype__Universe_OIn0__not__In1__iff1_0,axiom,
c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OIn0__not__In1__iff1_0) ).
cnf(cls_Datatype__Universe_OIn1__eq__iff1_0,axiom,
( V_M = V_N
| c_Datatype__Universe_OIn1(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b) ),
file('MSC001-2.ax',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
cnf(cls_Datatype__Universe_OIn1__not__In0__iff1_0,axiom,
c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
cnf(cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,axiom,
c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OLeaf__not__Numb__iff1_0) ).
cnf(cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,axiom,
c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
cnf(cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,axiom,
c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
cnf(cls_Datatype__Universe_ONumb__not__Scons__iff1_0,axiom,
c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).
cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_0,axiom,
( V_M = V_M_H
| c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b) ),
file('MSC001-2.ax',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_1,axiom,
( V_N = V_N_H
| c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b) ),
file('MSC001-2.ax',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
cnf(cls_Datatype__Universe_OScons__not__Atom__iff1_0,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).
cnf(cls_Datatype__Universe_OScons__not__Leaf__iff1_0,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).
cnf(cls_Datatype__Universe_OScons__not__Numb__iff1_0,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
file('MSC001-2.ax',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
cnf(cls_Divides_Odvd__0__left__iff__iff1_0,axiom,
( V_m = c_0
| ~ c_Divides_Oop_Advd(c_0,V_m,tc_nat) ),
file('MSC001-2.ax',cls_Divides_Odvd__0__left__iff__iff1_0) ).
cnf(cls_Divides_Odvd__0__left__iff__iff2_0,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
file('MSC001-2.ax',cls_Divides_Odvd__0__left__iff__iff2_0) ).
cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff1_0,axiom,
( V_A = c_emptyset
| c_emptyset != c_Equiv__Relations_Oquotient(V_A,V_r,T_a) ),
file('MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,axiom,
c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a),
file('MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).
cnf(cls_Equiv__Relations_Oquotient__is__empty__iff1_0,axiom,
( V_A = c_emptyset
| c_Equiv__Relations_Oquotient(V_A,V_r,T_a) != c_emptyset ),
file('MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).
cnf(cls_Equiv__Relations_Oquotient__is__empty__iff2_0,axiom,
c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset,
file('MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
cnf(cls_Extraction_Osumbool_Odistinct__1__iff1_0,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('MSC001-2.ax',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
cnf(cls_Extraction_Osumbool_Odistinct__2__iff1_0,axiom,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
file('MSC001-2.ax',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
cnf(cls_Finite__Set_Ofinite__Diff__insert__iff1_0,axiom,
( c_in(c_minus(V_A,V_B,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(c_minus(V_A,c_insert(V_a,V_B,T_a),tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
cnf(cls_Finite__Set_Ofinite__Diff__insert__iff2_0,axiom,
( c_in(c_minus(V_A,c_insert(V_a,V_B,T_a),tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(c_minus(V_A,V_B,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
cnf(cls_Finite__Set_Ofinite__Pow__iff__iff1_0,axiom,
( c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(c_Pow(V_A,T_a),c_Finite__Set_OFinites,tc_set(tc_set(T_a))) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
cnf(cls_Finite__Set_Ofinite__Pow__iff__iff2_0,axiom,
( c_in(c_Pow(V_A,T_a),c_Finite__Set_OFinites,tc_set(tc_set(T_a)))
| ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
cnf(cls_Finite__Set_Ofinite__Un__iff1_0,axiom,
( c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff1_0) ).
cnf(cls_Finite__Set_Ofinite__Un__iff1_1,axiom,
( c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff1_1) ).
cnf(cls_Finite__Set_Ofinite__Un__iff2_0,axiom,
( c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a))
| ~ c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff2_0) ).
cnf(cls_Finite__Set_Ofinite__converse__iff1_0,axiom,
( c_in(V_r,c_Finite__Set_OFinites,tc_set(tc_prod(T_b,T_a)))
| ~ c_in(c_Relation_Oconverse(V_r,T_b,T_a),c_Finite__Set_OFinites,tc_set(tc_prod(T_a,T_b))) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__converse__iff1_0) ).
cnf(cls_Finite__Set_Ofinite__converse__iff2_0,axiom,
( c_in(c_Relation_Oconverse(V_r,T_b,T_a),c_Finite__Set_OFinites,tc_set(tc_prod(T_a,T_b)))
| ~ c_in(V_r,c_Finite__Set_OFinites,tc_set(tc_prod(T_b,T_a))) ),
file('MSC001-2.ax',cls_Finite__Set_Ofinite__converse__iff2_0) ).
cnf(cls_GCD_Ogcd__greatest__iff__iff1_0,axiom,
( c_Divides_Oop_Advd(V_k,V_m,tc_nat)
| ~ c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat) ),
file('MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
cnf(cls_GCD_Ogcd__greatest__iff__iff1_1,axiom,
( c_Divides_Oop_Advd(V_k,V_n,tc_nat)
| ~ c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat) ),
file('MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
cnf(cls_GCD_Ogcd__greatest__iff__iff2_0,axiom,
( c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(V_k,V_m,tc_nat)
| ~ c_Divides_Oop_Advd(V_k,V_n,tc_nat) ),
file('MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
cnf(cls_Infinite__Set_Onat__not__finite_0,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('MSC001-2.ax',cls_Infinite__Set_Onat__not__finite_0) ).
cnf(cls_IntDef_Oint__int__eq__iff1_0,axiom,
( V_m = V_n
| c_IntDef_Oint(V_m) != c_IntDef_Oint(V_n) ),
file('MSC001-2.ax',cls_IntDef_Oint__int__eq__iff1_0) ).
cnf(cls_IntDiv_Odvd__zminus__iff__iff1_0,axiom,
( c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('MSC001-2.ax',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
cnf(cls_IntDiv_Odvd__zminus__iff__iff2_0,axiom,
( c_Divides_Oop_Advd(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint) ),
file('MSC001-2.ax',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
cnf(cls_IntDiv_Ozdvd__0__left__iff1_0,axiom,
( V_m = c_0
| ~ c_Divides_Oop_Advd(c_0,V_m,tc_IntDef_Oint) ),
file('MSC001-2.ax',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
cnf(cls_IntDiv_Ozdvd__0__left__iff2_0,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
file('MSC001-2.ax',cls_IntDiv_Ozdvd__0__left__iff2_0) ).
cnf(cls_IntDiv_Ozminus__dvd__iff__iff1_0,axiom,
( c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(V_z,tc_IntDef_Oint),V_w,tc_IntDef_Oint) ),
file('MSC001-2.ax',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
cnf(cls_IntDiv_Ozminus__dvd__iff__iff2_0,axiom,
( c_Divides_Oop_Advd(c_uminus(V_z,tc_IntDef_Oint),V_w,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint) ),
file('MSC001-2.ax',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
cnf(cls_List_ONil2__notin__lex__iff1_0,axiom,
~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
file('MSC001-2.ax',cls_List_ONil2__notin__lex__iff1_0) ).
cnf(cls_List_ONil__is__append__conv__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_List_Olist_ONil != c_append(V_xs,V_ys,T_a) ),
file('MSC001-2.ax',cls_List_ONil__is__append__conv__iff1_0) ).
cnf(cls_List_ONil__is__append__conv__iff1_1,axiom,
( V_ys = c_List_Olist_ONil
| c_List_Olist_ONil != c_append(V_xs,V_ys,T_a) ),
file('MSC001-2.ax',cls_List_ONil__is__append__conv__iff1_1) ).
cnf(cls_List_ONil__is__append__conv__iff2_0,axiom,
c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a),
file('MSC001-2.ax',cls_List_ONil__is__append__conv__iff2_0) ).
cnf(cls_List_ONil__is__rev__conv__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_List_Olist_ONil != c_List_Orev(V_xs,T_a) ),
file('MSC001-2.ax',cls_List_ONil__is__rev__conv__iff1_0) ).
cnf(cls_List_ONil__is__rev__conv__iff2_0,axiom,
c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,T_a),
file('MSC001-2.ax',cls_List_ONil__is__rev__conv__iff2_0) ).
cnf(cls_List_ONil__notin__lex__iff1_0,axiom,
~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
file('MSC001-2.ax',cls_List_ONil__notin__lex__iff1_0) ).
cnf(cls_List_Oappend1__eq__conv__iff1_0,axiom,
( V_xs = V_ys
| c_append(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) != c_append(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a) ),
file('MSC001-2.ax',cls_List_Oappend1__eq__conv__iff1_0) ).
cnf(cls_List_Oappend1__eq__conv__iff1_1,axiom,
( V_x = V_y
| c_append(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) != c_append(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a) ),
file('MSC001-2.ax',cls_List_Oappend1__eq__conv__iff1_1) ).
cnf(cls_List_Oappend__in__lists__conv__iff1_0,axiom,
( c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff1_0) ).
cnf(cls_List_Oappend__in__lists__conv__iff1_1,axiom,
( c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff1_1) ).
cnf(cls_List_Oappend__in__lists__conv__iff2_0,axiom,
( c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
| ~ c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ),
file('MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff2_0) ).
cnf(cls_List_Oappend__is__Nil__conv__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_append(V_xs,V_ys,T_a) != c_List_Olist_ONil ),
file('MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff1_0) ).
cnf(cls_List_Oappend__is__Nil__conv__iff1_1,axiom,
( V_ys = c_List_Olist_ONil
| c_append(V_xs,V_ys,T_a) != c_List_Olist_ONil ),
file('MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff1_1) ).
cnf(cls_List_Oappend__is__Nil__conv__iff2_0,axiom,
c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
file('MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff2_0) ).
cnf(cls_List_Oappend__same__eq__iff1_0,axiom,
( V_ys = V_zs
| c_append(V_ys,V_xs,T_a) != c_append(V_zs,V_xs,T_a) ),
file('MSC001-2.ax',cls_List_Oappend__same__eq__iff1_0) ).
cnf(cls_List_Oappend__self__conv2__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_append(V_xs,V_ys,T_a) != V_ys ),
file('MSC001-2.ax',cls_List_Oappend__self__conv2__iff1_0) ).
cnf(cls_List_Oappend__self__conv2__iff2_0,axiom,
c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys,
file('MSC001-2.ax',cls_List_Oappend__self__conv2__iff2_0) ).
cnf(cls_List_Oappend__self__conv__iff1_0,axiom,
( V_ys = c_List_Olist_ONil
| c_append(V_xs,V_ys,T_a) != V_xs ),
file('MSC001-2.ax',cls_List_Oappend__self__conv__iff1_0) ).
cnf(cls_List_Oappend__self__conv__iff2_0,axiom,
c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs,
file('MSC001-2.ax',cls_List_Oappend__self__conv__iff2_0) ).
cnf(cls_List_Ochar_Oinject__iff1_0,axiom,
( V_nibble1 = V_nibble1_H
| c_List_Ochar_OChar(V_nibble1,V_nibble2) != c_List_Ochar_OChar(V_nibble1_H,V_nibble2_H) ),
file('MSC001-2.ax',cls_List_Ochar_Oinject__iff1_0) ).
cnf(cls_List_Ochar_Oinject__iff1_1,axiom,
( V_nibble2 = V_nibble2_H
| c_List_Ochar_OChar(V_nibble1,V_nibble2) != c_List_Ochar_OChar(V_nibble1_H,V_nibble2_H) ),
file('MSC001-2.ax',cls_List_Ochar_Oinject__iff1_1) ).
cnf(cls_List_Olength__0__conv__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_0 ),
file('MSC001-2.ax',cls_List_Olength__0__conv__iff1_0) ).
cnf(cls_List_Olength__0__conv__iff2_0,axiom,
c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0,
file('MSC001-2.ax',cls_List_Olength__0__conv__iff2_0) ).
cnf(cls_List_Olength__greater__0__conv__iff1_0,axiom,
~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat),
file('MSC001-2.ax',cls_List_Olength__greater__0__conv__iff1_0) ).
cnf(cls_List_Olength__greater__0__conv__iff2_0,axiom,
( V_xs = c_List_Olist_ONil
| c_less(c_0,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ),
file('MSC001-2.ax',cls_List_Olength__greater__0__conv__iff2_0) ).
cnf(cls_List_Olength__remdups__eq__iff1_0,axiom,
( c_List_Oremdups(V_xs,T_a) = V_xs
| c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) != c_Nat_Osize(V_xs,tc_List_Olist(T_a)) ),
file('MSC001-2.ax',cls_List_Olength__remdups__eq__iff1_0) ).
cnf(cls_List_Olength__remdups__eq__iff2_0,axiom,
( c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a))
| c_List_Oremdups(V_xs,T_a) != V_xs ),
file('MSC001-2.ax',cls_List_Olength__remdups__eq__iff2_0) ).
cnf(cls_List_Olist_Odistinct__1__iff1_0,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
file('MSC001-2.ax',cls_List_Olist_Odistinct__1__iff1_0) ).
cnf(cls_List_Olist_Odistinct__2__iff1_0,axiom,
c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil,
file('MSC001-2.ax',cls_List_Olist_Odistinct__2__iff1_0) ).
cnf(cls_List_Olist_Oinject__iff1_0,axiom,
( V_a = V_a_H
| c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
file('MSC001-2.ax',cls_List_Olist_Oinject__iff1_0) ).
cnf(cls_List_Olist_Oinject__iff1_1,axiom,
( V_list = V_list_H
| c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
file('MSC001-2.ax',cls_List_Olist_Oinject__iff1_1) ).
cnf(cls_List_Orev__eq__Cons__iff__iff1_0,axiom,
( V_xs = c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a)
| c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) ),
file('MSC001-2.ax',cls_List_Orev__eq__Cons__iff__iff1_0) ).
cnf(cls_List_Orev__eq__Cons__iff__iff2_0,axiom,
c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a),
file('MSC001-2.ax',cls_List_Orev__eq__Cons__iff__iff2_0) ).
cnf(cls_List_Orev__is__Nil__conv__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_List_Orev(V_xs,T_a) != c_List_Olist_ONil ),
file('MSC001-2.ax',cls_List_Orev__is__Nil__conv__iff1_0) ).
cnf(cls_List_Orev__is__Nil__conv__iff2_0,axiom,
c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
file('MSC001-2.ax',cls_List_Orev__is__Nil__conv__iff2_0) ).
cnf(cls_List_Orev__is__rev__conv__iff1_0,axiom,
( V_xs = V_ys
| c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) ),
file('MSC001-2.ax',cls_List_Orev__is__rev__conv__iff1_0) ).
cnf(cls_List_Osame__append__eq__iff1_0,axiom,
( V_ys = V_zs
| c_append(V_xs,V_ys,T_a) != c_append(V_xs,V_zs,T_a) ),
file('MSC001-2.ax',cls_List_Osame__append__eq__iff1_0) ).
cnf(cls_List_Oself__append__conv2__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| V_ys != c_append(V_xs,V_ys,T_a) ),
file('MSC001-2.ax',cls_List_Oself__append__conv2__iff1_0) ).
cnf(cls_List_Oself__append__conv2__iff2_0,axiom,
V_ys = c_append(c_List_Olist_ONil,V_ys,T_a),
file('MSC001-2.ax',cls_List_Oself__append__conv2__iff2_0) ).
cnf(cls_List_Oself__append__conv__iff1_0,axiom,
( V_ys = c_List_Olist_ONil
| V_xs != c_append(V_xs,V_ys,T_a) ),
file('MSC001-2.ax',cls_List_Oself__append__conv__iff1_0) ).
cnf(cls_List_Oself__append__conv__iff2_0,axiom,
V_xs = c_append(V_xs,c_List_Olist_ONil,T_a),
file('MSC001-2.ax',cls_List_Oself__append__conv__iff2_0) ).
cnf(cls_List_Oset__empty2__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_emptyset != c_List_Oset(V_xs,T_a) ),
file('MSC001-2.ax',cls_List_Oset__empty2__iff1_0) ).
cnf(cls_List_Oset__empty2__iff2_0,axiom,
c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a),
file('MSC001-2.ax',cls_List_Oset__empty2__iff2_0) ).
cnf(cls_List_Oset__empty__iff1_0,axiom,
( V_xs = c_List_Olist_ONil
| c_List_Oset(V_xs,T_a) != c_emptyset ),
file('MSC001-2.ax',cls_List_Oset__empty__iff1_0) ).
cnf(cls_List_Oset__empty__iff2_0,axiom,
c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset,
file('MSC001-2.ax',cls_List_Oset__empty__iff2_0) ).
cnf(cls_Nat_OSuc__Suc__eq__iff1_0,axiom,
( V_m = V_n
| c_Suc(V_m) != c_Suc(V_n) ),
file('MSC001-2.ax',cls_Nat_OSuc__Suc__eq__iff1_0) ).
cnf(cls_Nat_OSuc__le__mono__iff1_0,axiom,
( c_lessequals(V_n,V_m,tc_nat)
| ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ),
file('MSC001-2.ax',cls_Nat_OSuc__le__mono__iff1_0) ).
cnf(cls_Nat_OSuc__le__mono__iff2_0,axiom,
( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
| ~ c_lessequals(V_n,V_m,tc_nat) ),
file('MSC001-2.ax',cls_Nat_OSuc__le__mono__iff2_0) ).
cnf(cls_Nat_OSuc__less__eq__iff1_0,axiom,
( c_less(V_m,V_n,tc_nat)
| ~ c_less(c_Suc(V_m),c_Suc(V_n),tc_nat) ),
file('MSC001-2.ax',cls_Nat_OSuc__less__eq__iff1_0) ).
cnf(cls_Nat_OSuc__less__eq__iff2_0,axiom,
( c_less(c_Suc(V_m),c_Suc(V_n),tc_nat)
| ~ c_less(V_m,V_n,tc_nat) ),
file('MSC001-2.ax',cls_Nat_OSuc__less__eq__iff2_0) ).
cnf(cls_Nat_OSuc__not__Zero__iff1_0,axiom,
c_Suc(V_m) != c_0,
file('MSC001-2.ax',cls_Nat_OSuc__not__Zero__iff1_0) ).
cnf(cls_Nat_OZero__not__Suc__iff1_0,axiom,
c_0 != c_Suc(V_m),
file('MSC001-2.ax',cls_Nat_OZero__not__Suc__iff1_0) ).
cnf(cls_Nat_Oadd__gr__0__iff1_0,axiom,
( c_less(c_0,V_m,tc_nat)
| c_less(c_0,V_n,tc_nat)
| ~ c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) ),
file('MSC001-2.ax',cls_Nat_Oadd__gr__0__iff1_0) ).
cnf(cls_Nat_Oadd__gr__0__iff2_0,axiom,
( c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat)
| ~ c_less(c_0,V_m,tc_nat) ),
file('MSC001-2.ax',cls_Nat_Oadd__gr__0__iff2_0) ).
cnf(cls_Nat_Oadd__gr__0__iff2_1,axiom,
( c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat)
| ~ c_less(c_0,V_n,tc_nat) ),
file('MSC001-2.ax',cls_Nat_Oadd__gr__0__iff2_1) ).
cnf(cls_Nat_Oadd__is__0__iff1_0,axiom,
( V_m = c_0
| c_plus(V_m,V_n,tc_nat) != c_0 ),
file('MSC001-2.ax',cls_Nat_Oadd__is__0__iff1_0) ).
cnf(cls_Nat_Oadd__is__0__iff1_1,axiom,
( V_n = c_0
| c_plus(V_m,V_n,tc_nat) != c_0 ),
file('MSC001-2.ax',cls_Nat_Oadd__is__0__iff1_1) ).
cnf(cls_Nat_Oadd__is__0__iff2_0,axiom,
c_plus(c_0,c_0,tc_nat) = c_0,
file('MSC001-2.ax',cls_Nat_Oadd__is__0__iff2_0) ).
cnf(cls_Nat_Ole__0__eq__iff1_0,axiom,
( V_i = c_0
| ~ c_lessequals(V_i,c_0,tc_nat) ),
file('MSC001-2.ax',cls_Nat_Ole__0__eq__iff1_0) ).
cnf(cls_Nat_Ole__0__eq__iff2_0,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('MSC001-2.ax',cls_Nat_Ole__0__eq__iff2_0) ).
cnf(cls_Nat_Oless__Suc0__iff1_0,axiom,
( V_n = c_0
| ~ c_less(V_n,c_Suc(c_0),tc_nat) ),
file('MSC001-2.ax',cls_Nat_Oless__Suc0__iff1_0) ).
cnf(cls_Nat_Oless__Suc0__iff2_0,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('MSC001-2.ax',cls_Nat_Oless__Suc0__iff2_0) ).
cnf(cls_Nat_Oless__one__iff1_0,axiom,
( V_n = c_0
| ~ c_less(V_n,c_1,tc_nat) ),
file('MSC001-2.ax',cls_Nat_Oless__one__iff1_0) ).
cnf(cls_Nat_Oless__one__iff2_0,axiom,
c_less(c_0,c_1,tc_nat),
file('MSC001-2.ax',cls_Nat_Oless__one__iff2_0) ).
cnf(cls_Nat_Oneq0__conv__iff1_0,axiom,
( V_n = c_0
| c_less(c_0,V_n,tc_nat) ),
file('MSC001-2.ax',cls_Nat_Oneq0__conv__iff1_0) ).
cnf(cls_Nat_Oneq0__conv__iff2_0,axiom,
~ c_less(c_0,c_0,tc_nat),
file('MSC001-2.ax',cls_Nat_Oneq0__conv__iff2_0) ).
cnf(cls_Nat_Onot__add__less1__iff1_0,axiom,
~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
file('MSC001-2.ax',cls_Nat_Onot__add__less1__iff1_0) ).
cnf(cls_Nat_Onot__add__less2__iff1_0,axiom,
~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
file('MSC001-2.ax',cls_Nat_Onot__add__less2__iff1_0) ).
cnf(cls_Nat_Onot__less0__iff1_0,axiom,
~ c_less(V_n,c_0,tc_nat),
file('MSC001-2.ax',cls_Nat_Onot__less0__iff1_0) ).
cnf(cls_Numeral_Obit_Odistinct__1__iff1_0,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('MSC001-2.ax',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
cnf(cls_Numeral_Obit_Odistinct__2__iff1_0,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('MSC001-2.ax',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
( ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('MSC001-2.ax',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
cnf(cls_Product__Type_OPair__eq__iff1_0,axiom,
( V_a = V_a_H
| c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) ),
file('MSC001-2.ax',cls_Product__Type_OPair__eq__iff1_0) ).
cnf(cls_Product__Type_OPair__eq__iff1_1,axiom,
( V_b = V_b_H
| c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) ),
file('MSC001-2.ax',cls_Product__Type_OPair__eq__iff1_1) ).
cnf(cls_Relation_OIdI_0,axiom,
c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)),
file('MSC001-2.ax',cls_Relation_OIdI_0) ).
cnf(cls_Relation_OImage__singleton__iff__iff1_0,axiom,
( c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
| ~ c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a) ),
file('MSC001-2.ax',cls_Relation_OImage__singleton__iff__iff1_0) ).
cnf(cls_Relation_OImage__singleton__iff__iff2_0,axiom,
( c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a)
| ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) ),
file('MSC001-2.ax',cls_Relation_OImage__singleton__iff__iff2_0) ).
cnf(cls_Relation_Oconverse__iff__iff1_0,axiom,
( c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))
| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) ),
file('MSC001-2.ax',cls_Relation_Oconverse__iff__iff1_0) ).
cnf(cls_Relation_Oconverse__iff__iff2_0,axiom,
( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))
| ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ),
file('MSC001-2.ax',cls_Relation_Oconverse__iff__iff2_0) ).
cnf(cls_Relation_Opair__in__Id__conv__iff1_0,axiom,
( V_a = V_b
| ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) ),
file('MSC001-2.ax',cls_Relation_Opair__in__Id__conv__iff1_0) ).
cnf(cls_SetInterval_OatLeast__eq__iff__iff1_0,axiom,
( V_x = V_y
| c_SetInterval_OatLeast(V_x,T_a) != c_SetInterval_OatLeast(V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
cnf(cls_SetInterval_OatLeast__iff__iff1_0,axiom,
( c_lessequals(V_k,V_i,T_a)
| ~ c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff1_0) ).
cnf(cls_SetInterval_OatLeast__iff__iff2_0,axiom,
( c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a)
| ~ c_lessequals(V_k,V_i,T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff2_0) ).
cnf(cls_SetInterval_OatLeast__subset__iff__iff1_0,axiom,
( c_lessequals(V_y,V_x,T_a)
| ~ c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a))
| ~ class_Orderings_Oorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
cnf(cls_SetInterval_OatLeast__subset__iff__iff2_0,axiom,
( c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a))
| ~ c_lessequals(V_y,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
cnf(cls_SetInterval_OatMost__eq__iff__iff1_0,axiom,
( V_x = V_y
| c_SetInterval_OatMost(V_x,T_a) != c_SetInterval_OatMost(V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
cnf(cls_SetInterval_OatMost__iff__iff1_0,axiom,
( c_lessequals(V_i,V_k,T_a)
| ~ c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatMost__iff__iff1_0) ).
cnf(cls_SetInterval_OatMost__iff__iff2_0,axiom,
( c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)
| ~ c_lessequals(V_i,V_k,T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatMost__iff__iff2_0) ).
cnf(cls_SetInterval_OatMost__subset__iff__iff1_0,axiom,
( c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a))
| ~ class_Orderings_Oorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
cnf(cls_SetInterval_OatMost__subset__iff__iff2_0,axiom,
( c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a))
| ~ c_lessequals(V_x,V_y,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
cnf(cls_SetInterval_OgreaterThan__eq__iff__iff1_0,axiom,
( V_x = V_y
| c_SetInterval_OgreaterThan(V_x,T_a) != c_SetInterval_OgreaterThan(V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
cnf(cls_SetInterval_OgreaterThan__iff__iff1_0,axiom,
( c_less(V_k,V_i,T_a)
| ~ c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
cnf(cls_SetInterval_OgreaterThan__iff__iff2_0,axiom,
( c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a)
| ~ c_less(V_k,V_i,T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
cnf(cls_SetInterval_OgreaterThan__subset__iff__iff1_0,axiom,
( c_lessequals(V_y,V_x,T_a)
| ~ c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a))
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
cnf(cls_SetInterval_OgreaterThan__subset__iff__iff2_0,axiom,
( c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a))
| ~ c_lessequals(V_y,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
cnf(cls_SetInterval_OlessThan__eq__iff__iff1_0,axiom,
( V_x = V_y
| c_SetInterval_OlessThan(V_x,T_a) != c_SetInterval_OlessThan(V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
cnf(cls_SetInterval_OlessThan__iff__iff1_0,axiom,
( c_less(V_i,V_k,T_a)
| ~ c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff1_0) ).
cnf(cls_SetInterval_OlessThan__iff__iff2_0,axiom,
( c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a)
| ~ c_less(V_i,V_k,T_a)
| ~ class_Orderings_Oord(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff2_0) ).
cnf(cls_SetInterval_OlessThan__subset__iff__iff1_0,axiom,
( c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(c_SetInterval_OlessThan(V_x,T_a),c_SetInterval_OlessThan(V_y,T_a),tc_set(T_a))
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
cnf(cls_SetInterval_OlessThan__subset__iff__iff2_0,axiom,
( c_lessequals(c_SetInterval_OlessThan(V_x,T_a),c_SetInterval_OlessThan(V_y,T_a),tc_set(T_a))
| ~ c_lessequals(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('MSC001-2.ax',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('MSC001-2.ax',cls_Set_OComplD__dest_0) ).
cnf(cls_Set_OComplI_0,axiom,
( c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| c_in(V_c,V_A,T_a) ),
file('MSC001-2.ax',cls_Set_OComplI_0) ).
cnf(cls_Set_OCompl__eq__Compl__iff__iff1_0,axiom,
( V_A = V_B
| c_uminus(V_A,tc_set(T_a)) != c_uminus(V_B,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
cnf(cls_Set_OCompl__subset__Compl__iff__iff1_0,axiom,
( c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
cnf(cls_Set_OCompl__subset__Compl__iff__iff2_0,axiom,
( c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
cnf(cls_Set_ODiffE_0,axiom,
( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('MSC001-2.ax',cls_Set_ODiffE_0) ).
cnf(cls_Set_ODiffE_1,axiom,
( c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) ),
file('MSC001-2.ax',cls_Set_ODiffE_1) ).
cnf(cls_Set_ODiffI_0,axiom,
( c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)
| c_in(V_c,V_B,T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('MSC001-2.ax',cls_Set_ODiffI_0) ).
cnf(cls_Set_OIntE_0,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('MSC001-2.ax',cls_Set_OIntE_0) ).
cnf(cls_Set_OIntE_1,axiom,
( c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('MSC001-2.ax',cls_Set_OIntE_1) ).
cnf(cls_Set_OIntI_0,axiom,
( c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('MSC001-2.ax',cls_Set_OIntI_0) ).
cnf(cls_Set_OInterD_0,axiom,
( c_in(V_A,V_X,T_a)
| ~ c_in(V_A,c_Inter(V_C,T_a),T_a)
| ~ c_in(V_X,V_C,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_OInterD_0) ).
cnf(cls_Set_OPow__iff__iff1_0,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_A,c_Pow(V_B,T_a),tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_OPow__iff__iff1_0) ).
cnf(cls_Set_OPow__iff__iff2_0,axiom,
( c_in(V_A,c_Pow(V_B,T_a),tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_OPow__iff__iff2_0) ).
cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,
c_UNIV != c_emptyset,
file('MSC001-2.ax',cls_Set_OUNIV__not__empty__iff1_0) ).
cnf(cls_Set_OUnCI_0,axiom,
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('MSC001-2.ax',cls_Set_OUnCI_0) ).
cnf(cls_Set_OUnCI_1,axiom,
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('MSC001-2.ax',cls_Set_OUnCI_1) ).
cnf(cls_Set_OUnE_0,axiom,
( c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('MSC001-2.ax',cls_Set_OUnE_0) ).
cnf(cls_Set_OUn__empty__iff1_0,axiom,
( V_A = c_emptyset
| c_union(V_A,V_B,T_a) != c_emptyset ),
file('MSC001-2.ax',cls_Set_OUn__empty__iff1_0) ).
cnf(cls_Set_OUn__empty__iff1_1,axiom,
( V_B = c_emptyset
| c_union(V_A,V_B,T_a) != c_emptyset ),
file('MSC001-2.ax',cls_Set_OUn__empty__iff1_1) ).
cnf(cls_Set_OUn__empty__iff2_0,axiom,
c_union(c_emptyset,c_emptyset,T_a) = c_emptyset,
file('MSC001-2.ax',cls_Set_OUn__empty__iff2_0) ).
cnf(cls_Set_OUnionI_0,axiom,
( c_in(V_A,c_Union(V_C,T_a),T_a)
| ~ c_in(V_X,V_C,tc_set(T_a))
| ~ c_in(V_A,V_X,T_a) ),
file('MSC001-2.ax',cls_Set_OUnionI_0) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(V_a,c_emptyset,T_a),
file('MSC001-2.ax',cls_Set_OemptyE_0) ).
cnf(cls_Set_OinsertCI_0,axiom,
( c_in(V_a,c_insert(V_b,V_B,T_a),T_a)
| ~ c_in(V_a,V_B,T_a) ),
file('MSC001-2.ax',cls_Set_OinsertCI_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file('MSC001-2.ax',cls_Set_OinsertCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
file('MSC001-2.ax',cls_Set_OinsertE_0) ).
cnf(cls_Set_Onot__psubset__empty__iff1_0,axiom,
~ c_less(V_A,c_emptyset,tc_set(T_a)),
file('MSC001-2.ax',cls_Set_Onot__psubset__empty__iff1_0) ).
cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_0,axiom,
( V_a = V_b
| c_insert(V_a,V_A,T_a) != c_insert(V_b,c_emptyset,T_a) ),
file('MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_1,axiom,
( c_lessequals(V_A,c_insert(V_b,c_emptyset,T_a),tc_set(T_a))
| c_insert(V_a,V_A,T_a) != c_insert(V_b,c_emptyset,T_a) ),
file('MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).
cnf(cls_Set_Osingleton__insert__inj__eq_H__iff2_0,axiom,
( c_insert(V_x,V_A,T_a) = c_insert(V_x,c_emptyset,T_a)
| ~ c_lessequals(V_A,c_insert(V_x,c_emptyset,T_a),tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).
cnf(cls_Set_Osingleton__insert__inj__eq__iff1_0,axiom,
( V_a = V_b
| c_insert(V_b,c_emptyset,T_a) != c_insert(V_a,V_A,T_a) ),
file('MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).
cnf(cls_Set_Osingleton__insert__inj__eq__iff1_1,axiom,
( c_lessequals(V_A,c_insert(V_b,c_emptyset,T_a),tc_set(T_a))
| c_insert(V_b,c_emptyset,T_a) != c_insert(V_a,V_A,T_a) ),
file('MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).
cnf(cls_Set_Osingleton__insert__inj__eq__iff2_0,axiom,
( c_insert(V_x,c_emptyset,T_a) = c_insert(V_x,V_A,T_a)
| ~ c_lessequals(V_A,c_insert(V_x,c_emptyset,T_a),tc_set(T_a)) ),
file('MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).
cnf(cls_Sum__Type_OInl__eq__iff1_0,axiom,
( V_x = V_y
| c_Sum__Type_OInl(V_x,T_a,T_b) != c_Sum__Type_OInl(V_y,T_a,T_b) ),
file('MSC001-2.ax',cls_Sum__Type_OInl__eq__iff1_0) ).
cnf(cls_Sum__Type_OInl__not__Inr__iff1_0,axiom,
c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a),
file('MSC001-2.ax',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
cnf(cls_Sum__Type_OInr__eq__iff1_0,axiom,
( V_x = V_y
| c_Sum__Type_OInr(V_x,T_b,T_a) != c_Sum__Type_OInr(V_y,T_b,T_a) ),
file('MSC001-2.ax',cls_Sum__Type_OInr__eq__iff1_0) ).
cnf(cls_Sum__Type_OInr__not__Inl__iff1_0,axiom,
c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b),
file('MSC001-2.ax',cls_Sum__Type_OInr__not__Inl__iff1_0) ).
cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0,axiom,
( c_Wellfounded__Recursion_Oacyclic(V_r,T_a)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0,axiom,
( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
| ~ c_Wellfounded__Recursion_Oacyclic(V_r,T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0,axiom,
( c_Wellfounded__Recursion_Oacyclic(V_r,T_a)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1,axiom,
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0,axiom,
( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
| ~ c_Wellfounded__Recursion_Oacyclic(V_r,T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).
cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_0,axiom,
( c_Wellfounded__Recursion_Owf(V_r,T_a)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_1,axiom,
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
cnf(cls_Wellfounded__Recursion_Owf__insert__iff2_0,axiom,
( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
| ~ c_Wellfounded__Recursion_Owf(V_r,T_a) ),
file('MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).
cnf(cls_Wellfounded__Relations_Oless__than__iff__iff1_0,axiom,
( c_less(V_x,V_y,tc_nat)
| ~ c_in(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('MSC001-2.ax',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
cnf(cls_Wellfounded__Relations_Oless__than__iff__iff2_0,axiom,
( c_in(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(V_x,V_y,tc_nat) ),
file('MSC001-2.ax',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
cnf(cls_Event_OServer_A_58_Abad_A_61_61_62_AR_0,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('SWV006-0.ax',cls_Event_OServer_A_58_Abad_A_61_61_62_AR_0) ).
cnf(cls_Event_OSpy_A_58_Abad_0,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('SWV006-0.ax',cls_Event_OSpy_A_58_Abad_0) ).
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
cnf(cls_Event_Oevent_Odistinct__1__iff1_0,axiom,
c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
file('SWV006-0.ax',cls_Event_Oevent_Odistinct__1__iff1_0) ).
cnf(cls_Event_Oevent_Odistinct__2__iff1_0,axiom,
c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('SWV006-0.ax',cls_Event_Oevent_Odistinct__2__iff1_0) ).
cnf(cls_Event_Oevent_Odistinct__3__iff1_0,axiom,
c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('SWV006-0.ax',cls_Event_Oevent_Odistinct__3__iff1_0) ).
cnf(cls_Event_Oevent_Odistinct__4__iff1_0,axiom,
c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('SWV006-0.ax',cls_Event_Oevent_Odistinct__4__iff1_0) ).
cnf(cls_Event_Oevent_Odistinct__5__iff1_0,axiom,
c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('SWV006-0.ax',cls_Event_Oevent_Odistinct__5__iff1_0) ).
cnf(cls_Event_Oevent_Odistinct__6__iff1_0,axiom,
c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
file('SWV006-0.ax',cls_Event_Oevent_Odistinct__6__iff1_0) ).
cnf(cls_Event_Oevent_Oinject__1__iff1_0,axiom,
( V_agent1 = V_agent1_H
| c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__1__iff1_0) ).
cnf(cls_Event_Oevent_Oinject__1__iff1_1,axiom,
( V_agent2 = V_agent2_H
| c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__1__iff1_1) ).
cnf(cls_Event_Oevent_Oinject__1__iff1_2,axiom,
( V_msg = V_msg_H
| c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__1__iff1_2) ).
cnf(cls_Event_Oevent_Oinject__2__iff1_0,axiom,
( V_agent = V_agent_H
| c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__2__iff1_0) ).
cnf(cls_Event_Oevent_Oinject__2__iff1_1,axiom,
( V_msg = V_msg_H
| c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__2__iff1_1) ).
cnf(cls_Event_Oevent_Oinject__3__iff1_0,axiom,
( V_agent = V_agent_H
| c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__3__iff1_0) ).
cnf(cls_Event_Oevent_Oinject__3__iff1_1,axiom,
( V_msg = V_msg_H
| c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
file('SWV006-0.ax',cls_Event_Oevent_Oinject__3__iff1_1) ).
cnf(cls_Message_OCrypt__synth_0,axiom,
( c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OCrypt__synth_0) ).
cnf(cls_Message_OCrypt__synth_1,axiom,
( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OCrypt__synth_1) ).
cnf(cls_Message_OHPair__eq__MPair__iff1_0,axiom,
( V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))
| c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H) ),
file('SWV006-0.ax',cls_Message_OHPair__eq__MPair__iff1_0) ).
cnf(cls_Message_OHPair__eq__MPair__iff1_1,axiom,
( V_Y_H = V_Y
| c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H) ),
file('SWV006-0.ax',cls_Message_OHPair__eq__MPair__iff1_1) ).
cnf(cls_Message_OHPair__eq__MPair__iff2_0,axiom,
c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x),
file('SWV006-0.ax',cls_Message_OHPair__eq__MPair__iff2_0) ).
cnf(cls_Message_OHPair__eq__iff1_0,axiom,
( V_X_H = V_X
| c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y) ),
file('SWV006-0.ax',cls_Message_OHPair__eq__iff1_0) ).
cnf(cls_Message_OHPair__eq__iff1_1,axiom,
( V_Y_H = V_Y
| c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y) ),
file('SWV006-0.ax',cls_Message_OHPair__eq__iff1_1) ).
cnf(cls_Message_OHPair__neqs__1__iff1_0,axiom,
c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y),
file('SWV006-0.ax',cls_Message_OHPair__neqs__1__iff1_0) ).
cnf(cls_Message_OHPair__neqs__2__iff1_0,axiom,
c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y),
file('SWV006-0.ax',cls_Message_OHPair__neqs__2__iff1_0) ).
cnf(cls_Message_OHPair__neqs__3__iff1_0,axiom,
c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y),
file('SWV006-0.ax',cls_Message_OHPair__neqs__3__iff1_0) ).
cnf(cls_Message_OHPair__neqs__4__iff1_0,axiom,
c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y),
file('SWV006-0.ax',cls_Message_OHPair__neqs__4__iff1_0) ).
cnf(cls_Message_OHPair__neqs__5__iff1_0,axiom,
c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y),
file('SWV006-0.ax',cls_Message_OHPair__neqs__5__iff1_0) ).
cnf(cls_Message_OHPair__neqs__6__iff1_0,axiom,
c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y),
file('SWV006-0.ax',cls_Message_OHPair__neqs__6__iff1_0) ).
cnf(cls_Message_OHash_91X_93_AY_A_61_AAgent_AA_A_61_61_62_AR_0,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A),
file('SWV006-0.ax',cls_Message_OHash_91X_93_AY_A_61_AAgent_AA_A_61_61_62_AR_0) ).
cnf(cls_Message_OHash_91X_93_AY_A_61_ACrypt_AK_AX_H_A_61_61_62_AR_0,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H),
file('SWV006-0.ax',cls_Message_OHash_91X_93_AY_A_61_ACrypt_AK_AX_H_A_61_61_62_AR_0) ).
cnf(cls_Message_OHash_91X_93_AY_A_61_AHash_AZ_A_61_61_62_AR_0,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z),
file('SWV006-0.ax',cls_Message_OHash_91X_93_AY_A_61_AHash_AZ_A_61_61_62_AR_0) ).
cnf(cls_Message_OHash_91X_93_AY_A_61_AKey_AK_A_61_61_62_AR_0,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K),
file('SWV006-0.ax',cls_Message_OHash_91X_93_AY_A_61_AKey_AK_A_61_61_62_AR_0) ).
cnf(cls_Message_OHash_91X_93_AY_A_61_ANonce_AN_A_61_61_62_AR_0,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N),
file('SWV006-0.ax',cls_Message_OHash_91X_93_AY_A_61_ANonce_AN_A_61_61_62_AR_0) ).
cnf(cls_Message_OHash_91X_93_AY_A_61_ANumber_AN_A_61_61_62_AR_0,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N),
file('SWV006-0.ax',cls_Message_OHash_91X_93_AY_A_61_ANumber_AN_A_61_61_62_AR_0) ).
cnf(cls_Message_OHash__synth_0,axiom,
( c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OHash__synth_0) ).
cnf(cls_Message_OKey__synth_0,axiom,
( c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OKey__synth_0) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__analz_0) ).
cnf(cls_Message_OMPair__analz_1,axiom,
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__analz_1) ).
cnf(cls_Message_OMPair__eq__HPair__iff1_0,axiom,
( V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))
| c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y) ),
file('SWV006-0.ax',cls_Message_OMPair__eq__HPair__iff1_0) ).
cnf(cls_Message_OMPair__eq__HPair__iff1_1,axiom,
( V_Y_H = V_Y
| c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y) ),
file('SWV006-0.ax',cls_Message_OMPair__eq__HPair__iff1_1) ).
cnf(cls_Message_OMPair__eq__HPair__iff2_0,axiom,
c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x),
file('SWV006-0.ax',cls_Message_OMPair__eq__HPair__iff2_0) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__parts_0) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__parts_1) ).
cnf(cls_Message_OMPair__synth_0,axiom,
( c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
| c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__synth_0) ).
cnf(cls_Message_OMPair__synth_1,axiom,
( c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__synth_1) ).
cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__synth__analz__iff1_0) ).
cnf(cls_Message_OMPair__synth__analz__iff1_1,axiom,
( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__synth__analz__iff1_1) ).
cnf(cls_Message_OMPair__synth__analz__iff2_0,axiom,
( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_OMPair__synth__analz__iff2_0) ).
cnf(cls_Message_ONonce__synth_0,axiom,
( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_ONonce__synth_0) ).
cnf(cls_Message_Oagent_Odistinct__1__iff1_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
file('SWV006-0.ax',cls_Message_Oagent_Odistinct__1__iff1_0) ).
cnf(cls_Message_Oagent_Odistinct__2__iff1_0,axiom,
c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
file('SWV006-0.ax',cls_Message_Oagent_Odistinct__2__iff1_0) ).
cnf(cls_Message_Oagent_Odistinct__3__iff1_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('SWV006-0.ax',cls_Message_Oagent_Odistinct__3__iff1_0) ).
cnf(cls_Message_Oagent_Odistinct__4__iff1_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('SWV006-0.ax',cls_Message_Oagent_Odistinct__4__iff1_0) ).
cnf(cls_Message_Oagent_Odistinct__5__iff1_0,axiom,
c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
file('SWV006-0.ax',cls_Message_Oagent_Odistinct__5__iff1_0) ).
cnf(cls_Message_Oagent_Odistinct__6__iff1_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
file('SWV006-0.ax',cls_Message_Oagent_Odistinct__6__iff1_0) ).
cnf(cls_Message_Oagent_Oinject__iff1_0,axiom,
( V_nat = V_nat_H
| c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OFriend(V_nat_H) ),
file('SWV006-0.ax',cls_Message_Oagent_Oinject__iff1_0) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Oanalz_OInj_0) ).
cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Oanalz__analzD__dest_0) ).
cnf(cls_Message_Oin__parts__UnE_0,axiom,
( c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Oin__parts__UnE_0) ).
cnf(cls_Message_Omsg_Oinject__1__iff1_0,axiom,
( V_agent = V_agent_H
| c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__1__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__2__iff1_0,axiom,
( V_nat = V_nat_H
| c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_ONumber(V_nat_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__2__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__3__iff1_0,axiom,
( V_nat = V_nat_H
| c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__3__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__4__iff1_0,axiom,
( V_nat = V_nat_H
| c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OKey(V_nat_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__4__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__5__iff1_0,axiom,
( V_msg = V_msg_H
| c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__5__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__6__iff1_0,axiom,
( V_msg1 = V_msg1_H
| c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__6__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__6__iff1_1,axiom,
( V_msg2 = V_msg2_H
| c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__6__iff1_1) ).
cnf(cls_Message_Omsg_Oinject__7__iff1_0,axiom,
( V_nat = V_nat_H
| c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__7__iff1_0) ).
cnf(cls_Message_Omsg_Oinject__7__iff1_1,axiom,
( V_msg = V_msg_H
| c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
file('SWV006-0.ax',cls_Message_Omsg_Oinject__7__iff1_1) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Oparts_OInj_0) ).
cnf(cls_Message_Oparts__emptyE_0,axiom,
~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('SWV006-0.ax',cls_Message_Oparts__emptyE_0) ).
cnf(cls_Message_Oparts__partsD__dest_0,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Oparts__partsD__dest_0) ).
cnf(cls_Message_Osynth_OAgent_0,axiom,
c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg),
file('SWV006-0.ax',cls_Message_Osynth_OAgent_0) ).
cnf(cls_Message_Osynth_OCrypt_0,axiom,
( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Osynth_OCrypt_0) ).
cnf(cls_Message_Osynth_OHash_0,axiom,
( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Osynth_OHash_0) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Osynth_OInj_0) ).
cnf(cls_Message_Osynth_OMPair_0,axiom,
( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Osynth_OMPair_0) ).
cnf(cls_Message_Osynth_ONumber_0,axiom,
c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg),
file('SWV006-0.ax',cls_Message_Osynth_ONumber_0) ).
cnf(cls_Message_Osynth__synthD__dest_0,axiom,
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ),
file('SWV006-0.ax',cls_Message_Osynth__synthD__dest_0) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV006-2.ax',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
( c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV006-2.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('SWV006-2.ax',cls_Message_Oanalz_ODecrypt__dest_0) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('SWV006-2.ax',cls_Message_Oanalz__into__parts__dest_0) ).
cnf(cls_Message_Oparts_OBody__dest_0,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('SWV006-2.ax',cls_Message_Oparts_OBody__dest_0) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('SWV006-2.ax',cls_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_Public_OMPair__used_0,axiom,
( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ),
file('SWV006-2.ax',cls_Public_OMPair__used_0) ).
cnf(cls_Public_OMPair__used_1,axiom,
( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ),
file('SWV006-2.ax',cls_Public_OMPair__used_1) ).
cnf(cls_Public_ONonce__notin__initState__iff1_0,axiom,
~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_ONonce__notin__initState__iff1_0) ).
cnf(cls_Public_OSpy__spies__bad__privateKey_0,axiom,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV006-2.ax',cls_Public_OSpy__spies__bad__privateKey_0) ).
cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV006-2.ax',cls_Public_OSpy__spies__bad__shrK_0) ).
cnf(cls_Public_Oanalz__spies__pubK_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_Oanalz__spies__pubK_0) ).
cnf(cls_Public_Okeymode_Odistinct__1__iff1_0,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('SWV006-2.ax',cls_Public_Okeymode_Odistinct__1__iff1_0) ).
cnf(cls_Public_Okeymode_Odistinct__2__iff1_0,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('SWV006-2.ax',cls_Public_Okeymode_Odistinct__2__iff1_0) ).
cnf(cls_Public_Onot__symKeys__priK__iff1_0,axiom,
~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat),
file('SWV006-2.ax',cls_Public_Onot__symKeys__priK__iff1_0) ).
cnf(cls_Public_Onot__symKeys__pubK__iff1_0,axiom,
~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat),
file('SWV006-2.ax',cls_Public_Onot__symKeys__pubK__iff1_0) ).
cnf(cls_Public_OpriK__in__initState_0,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OpriK__in__initState_0) ).
cnf(cls_Public_OpriK__neq__shrK__iff1_0,axiom,
c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)),
file('SWV006-2.ax',cls_Public_OpriK__neq__shrK__iff1_0) ).
cnf(cls_Public_OprivateKey_Ab_AA_A_61_ApublicKey_Ac_AA_H_A_61_61_62_AR_0,axiom,
c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H),
file('SWV006-2.ax',cls_Public_OprivateKey_Ab_AA_A_61_ApublicKey_Ac_AA_H_A_61_61_62_AR_0) ).
cnf(cls_Public_OprivateKey__into__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OprivateKey__into__used_0) ).
cnf(cls_Public_OpubK__neq__shrK__iff1_0,axiom,
c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C),
file('SWV006-2.ax',cls_Public_OpubK__neq__shrK__iff1_0) ).
cnf(cls_Public_OpublicKey__in__initState_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OpublicKey__in__initState_0) ).
cnf(cls_Public_OpublicKey__inject__iff1_0,axiom,
( V_b = V_c
| c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H) ),
file('SWV006-2.ax',cls_Public_OpublicKey__inject__iff1_0) ).
cnf(cls_Public_OpublicKey__inject__iff1_1,axiom,
( V_A = V_A_H
| c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H) ),
file('SWV006-2.ax',cls_Public_OpublicKey__inject__iff1_1) ).
cnf(cls_Public_OpublicKey__into__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OpublicKey__into__used_0) ).
cnf(cls_Public_OpublicKey__neq__privateKey__iff1_0,axiom,
c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),
file('SWV006-2.ax',cls_Public_OpublicKey__neq__privateKey__iff1_0) ).
cnf(cls_Public_OshrK_AX_A_58_AsymKeys_0,axiom,
c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat),
file('SWV006-2.ax',cls_Public_OshrK_AX_A_58_AsymKeys_0) ).
cnf(cls_Public_OshrK__in__initState_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OshrK__in__initState_0) ).
cnf(cls_Public_OshrK__in__knows_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OshrK__in__knows_0) ).
cnf(cls_Public_OshrK__in__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_OshrK__in__used_0) ).
cnf(cls_Public_OshrK__injective__iff1_0,axiom,
( V_x = V_y
| c_Public_OshrK(V_x) != c_Public_OshrK(V_y) ),
file('SWV006-2.ax',cls_Public_OshrK__injective__iff1_0) ).
cnf(cls_Public_Ospies__pubK_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
file('SWV006-2.ax',cls_Public_Ospies__pubK_0) ).
cnf(cls_Public_OsymKeys__invKey__iff__iff1_0,axiom,
( c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ),
file('SWV006-2.ax',cls_Public_OsymKeys__invKey__iff__iff1_0) ).
cnf(cls_Public_OsymKeys__invKey__iff__iff2_0,axiom,
( c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ),
file('SWV006-2.ax',cls_Public_OsymKeys__invKey__iff__iff2_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( c_Datatype__Universe_OLeaf(Eq_x_0,Eq_x_1,Eq_x_2) = c_Datatype__Universe_OLeaf(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( c_Datatype__Universe_ONumb(Eq_x_0,Eq_x_1,Eq_x_2) = c_Datatype__Universe_ONumb(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( c_Datatype__Universe_Odprod(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Datatype__Universe_Odprod(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( tc_Datatype__Universe_Onode(Eq_x_0,Eq_x_1) = tc_Datatype__Universe_Onode(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( tc_set(Eq_x_0) = tc_set(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( tc_prod(Eq_x_0,Eq_x_1) = tc_prod(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( c_Main_OdprodE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OdprodE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( c_Main_OdprodE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OdprodE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( c_Datatype__Universe_OScons(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Datatype__Universe_OScons(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( c_Main_OdprodE__3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OdprodE__3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( c_Main_OdprodE__4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OdprodE__4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( c_Pair(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Pair(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( c_Datatype__Universe_Odsum(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Datatype__Universe_Odsum(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( c_Main_OdsumE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OdsumE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( c_Datatype__Universe_OIn0(Eq_x_0,Eq_x_1,Eq_x_2) = c_Datatype__Universe_OIn0(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( c_Main_OdsumE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OdsumE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( c_Main_OdsumE__3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OdsumE__3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( c_Datatype__Universe_OIn1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Datatype__Universe_OIn1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( c_Main_OdsumE__4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OdsumE__4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( c_Datatype__Universe_Ouprod(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Datatype__Universe_Ouprod(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( c_Main_OuprodE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OuprodE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( c_Main_OuprodE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OuprodE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( c_Datatype__Universe_Ousum(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Datatype__Universe_Ousum(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( c_Main_OusumE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OusumE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( c_Main_OusumE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OusumE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( c_Suc(Eq_x_0) = c_Suc(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( c_times(Eq_x_0,Eq_x_1,Eq_x_2) = c_times(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( c_Divides_Oop_Amod(Eq_x_0,Eq_x_1,Eq_x_2) = c_Divides_Oop_Amod(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( c_Main_Omod__eq__0D__dest__1(Eq_x_0,Eq_x_1) = c_Main_Omod__eq__0D__dest__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( c_insert(Eq_x_0,Eq_x_1,Eq_x_2) = c_insert(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( c_inter(Eq_x_0,Eq_x_1,Eq_x_2) = c_inter(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( c_Main_Ofinite__Union__1(Eq_x_0,Eq_x_1) = c_Main_Ofinite__Union__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( c_Union(Eq_x_0,Eq_x_1) = c_Union(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( c_GCD_Ogcd(Eq_x_0) = c_GCD_Ogcd(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( c_IntDef_Oint(Eq_x_0) = c_IntDef_Oint(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( c_uminus(Eq_x_0,Eq_x_1) = c_uminus(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( c_Main_Ozmod__eq__0D__dest__1(Eq_x_0,Eq_x_1) = c_Main_Ozmod__eq__0D__dest__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( c_List_Oremdups(Eq_x_0,Eq_x_1) = c_List_Oremdups(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( c_List_Oset(Eq_x_0,Eq_x_1) = c_List_Oset(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( c_List_Olists(Eq_x_0,Eq_x_1) = c_List_Olists(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_44,axiom,
( tc_List_Olist(Eq_x_0) = tc_List_Olist(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_45,axiom,
( c_Main_Oin__listsI__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_Oin__listsI__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_46,axiom,
( c_Nat_Osize(Eq_x_0,Eq_x_1) = c_Nat_Osize(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_47,axiom,
( c_List_Olist_OCons(Eq_x_0,Eq_x_1,Eq_x_2) = c_List_Olist_OCons(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_48,axiom,
( c_List_Olistrel(Eq_x_0,Eq_x_1) = c_List_Olistrel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_49,axiom,
( c_Main_Olistrel__Cons1__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_Olistrel__Cons1__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_50,axiom,
( c_Main_Olistrel__Cons1__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_Olistrel__Cons1__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_51,axiom,
( c_Main_Olistrel__Cons2__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_Olistrel__Cons2__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_52,axiom,
( c_Main_Olistrel__Cons2__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_Olistrel__Cons2__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_53,axiom,
( c_List_Olenlex(Eq_x_0,Eq_x_1) = c_List_Olenlex(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_54,axiom,
( c_List_Olex(Eq_x_0,Eq_x_1) = c_List_Olex(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_55,axiom,
( c_Relation_ODomain(Eq_x_0,Eq_x_1,Eq_x_2) = c_Relation_ODomain(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_56,axiom,
( c_Main_ODomainE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_ODomainE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_57,axiom,
( c_Main_OIdE__1(Eq_x_0,Eq_x_1) = c_Main_OIdE__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_58,axiom,
( c_Relation_OImage(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Relation_OImage(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_59,axiom,
( c_Main_OImageE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Main_OImageE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_60,axiom,
( c_Relation_ORange(Eq_x_0,Eq_x_1,Eq_x_2) = c_Relation_ORange(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_61,axiom,
( c_Main_ORangeE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_ORangeE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_62,axiom,
( c_Relation_Oconverse(Eq_x_0,Eq_x_1,Eq_x_2) = c_Relation_Oconverse(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_63,axiom,
( c_Main_OconverseE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OconverseE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_64,axiom,
( c_Main_OconverseE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OconverseE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_65,axiom,
( c_Relation_Odiag(Eq_x_0,Eq_x_1) = c_Relation_Odiag(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_66,axiom,
( c_Main_OdiagE__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OdiagE__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_67,axiom,
( c_Relation_Orel__comp(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Relation_Orel__comp(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_68,axiom,
( c_Main_Orel__compE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = c_Main_Orel__compE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_69,axiom,
( c_Main_Orel__compE__3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = c_Main_Orel__compE__3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_70,axiom,
( c_Main_Orel__compE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = c_Main_Orel__compE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_71,axiom,
( c_SetInterval_OatLeastAtMost(Eq_x_0,Eq_x_1,Eq_x_2) = c_SetInterval_OatLeastAtMost(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_72,axiom,
( c_SetInterval_OatLeastLessThan(Eq_x_0,Eq_x_1,Eq_x_2) = c_SetInterval_OatLeastLessThan(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_73,axiom,
( c_SetInterval_OatMost(Eq_x_0,Eq_x_1) = c_SetInterval_OatMost(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_74,axiom,
( c_SetInterval_OgreaterThanAtMost(Eq_x_0,Eq_x_1,Eq_x_2) = c_SetInterval_OgreaterThanAtMost(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_75,axiom,
( c_SetInterval_OgreaterThanLessThan(Eq_x_0,Eq_x_1,Eq_x_2) = c_SetInterval_OgreaterThanLessThan(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_76,axiom,
( c_SetInterval_OlessThan(Eq_x_0,Eq_x_1) = c_SetInterval_OlessThan(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_77,axiom,
( c_Inter(Eq_x_0,Eq_x_1) = c_Inter(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_78,axiom,
( c_Main_OInterI__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OInterI__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_79,axiom,
( c_Main_OUnionE__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OUnionE__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_80,axiom,
( c_Main_OsubsetI__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OsubsetI__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_81,axiom,
( c_Sum__Type_OInl(Eq_x_0,Eq_x_1,Eq_x_2) = c_Sum__Type_OInl(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_82,axiom,
( c_Sum__Type_OPlus(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Sum__Type_OPlus(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_83,axiom,
( tc_sum(Eq_x_0,Eq_x_1) = tc_sum(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_84,axiom,
( c_Sum__Type_OInr(Eq_x_0,Eq_x_1,Eq_x_2) = c_Sum__Type_OInr(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_85,axiom,
( c_Main_OPlusE__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OPlusE__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_86,axiom,
( c_Main_OPlusE__2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Main_OPlusE__2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_87,axiom,
( c_Transitive__Closure_Ortrancl(Eq_x_0,Eq_x_1) = c_Transitive__Closure_Ortrancl(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_88,axiom,
( c_Transitive__Closure_Otrancl(Eq_x_0,Eq_x_1) = c_Transitive__Closure_Otrancl(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_89,axiom,
( c_Wellfounded__Relations_Olex__prod(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Wellfounded__Relations_Olex__prod(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_90,axiom,
( tc_Datatype_Ooption(Eq_x_0) = tc_Datatype_Ooption(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_91,axiom,
( tc_fun(Eq_x_0,Eq_x_1) = tc_fun(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_92,axiom,
( c_Datatype_Oo2s(Eq_x_0,Eq_x_1) = c_Datatype_Oo2s(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_93,axiom,
( c_Datatype_Ooption_OSome(Eq_x_0,Eq_x_1) = c_Datatype_Ooption_OSome(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_94,axiom,
( c_Main_Onot__None__eq__iff1__1(Eq_x_0,Eq_x_1) = c_Main_Onot__None__eq__iff1__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_95,axiom,
( c_Main_Onot__Some__eq__iff1__1(Eq_x_0,Eq_x_1) = c_Main_Onot__Some__eq__iff1__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_96,axiom,
( c_Datatype__Universe_OAtom(Eq_x_0,Eq_x_1,Eq_x_2) = c_Datatype__Universe_OAtom(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_97,axiom,
( c_Equiv__Relations_Oquotient(Eq_x_0,Eq_x_1,Eq_x_2) = c_Equiv__Relations_Oquotient(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_98,axiom,
( c_minus(Eq_x_0,Eq_x_1,Eq_x_2) = c_minus(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_99,axiom,
( c_Pow(Eq_x_0,Eq_x_1) = c_Pow(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_100,axiom,
( c_union(Eq_x_0,Eq_x_1,Eq_x_2) = c_union(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_101,axiom,
( c_append(Eq_x_0,Eq_x_1,Eq_x_2) = c_append(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_102,axiom,
( c_List_Orev(Eq_x_0,Eq_x_1) = c_List_Orev(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_103,axiom,
( c_List_Ochar_OChar(Eq_x_0,Eq_x_1) = c_List_Ochar_OChar(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_104,axiom,
( c_plus(Eq_x_0,Eq_x_1,Eq_x_2) = c_plus(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_105,axiom,
( c_SetInterval_OatLeast(Eq_x_0,Eq_x_1) = c_SetInterval_OatLeast(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_106,axiom,
( c_SetInterval_OgreaterThan(Eq_x_0,Eq_x_1) = c_SetInterval_OgreaterThan(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_107,axiom,
( c_Event_Oknows(Eq_x_0,Eq_x_1) = c_Event_Oknows(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_108,axiom,
( c_Message_Oparts(Eq_x_0) = c_Message_Oparts(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_109,axiom,
( c_Event_Oused(Eq_x_0) = c_Event_Oused(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_110,axiom,
( c_Event_Oevent_OSays(Eq_x_0,Eq_x_1,Eq_x_2) = c_Event_Oevent_OSays(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_111,axiom,
( c_Event_Oevent_OGets(Eq_x_0,Eq_x_1) = c_Event_Oevent_OGets(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_112,axiom,
( c_Event_Oevent_ONotes(Eq_x_0,Eq_x_1) = c_Event_Oevent_ONotes(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_113,axiom,
( c_Message_Omsg_OCrypt(Eq_x_0,Eq_x_1) = c_Message_Omsg_OCrypt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_114,axiom,
( c_Message_Osynth(Eq_x_0) = c_Message_Osynth(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_115,axiom,
( c_Message_Omsg_OKey(Eq_x_0) = c_Message_Omsg_OKey(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_116,axiom,
( c_Message_OHPair(Eq_x_0,Eq_x_1) = c_Message_OHPair(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_117,axiom,
( c_Message_Omsg_OMPair(Eq_x_0,Eq_x_1) = c_Message_Omsg_OMPair(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_118,axiom,
( c_Message_Omsg_OHash(Eq_x_0) = c_Message_Omsg_OHash(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_119,axiom,
( c_Message_Omsg_OAgent(Eq_x_0) = c_Message_Omsg_OAgent(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_120,axiom,
( c_Message_Omsg_ONonce(Eq_x_0) = c_Message_Omsg_ONonce(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_121,axiom,
( c_Message_Omsg_ONumber(Eq_x_0) = c_Message_Omsg_ONumber(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_122,axiom,
( c_Message_Oanalz(Eq_x_0) = c_Message_Oanalz(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_123,axiom,
( c_Message_Oagent_OFriend(Eq_x_0) = c_Message_Oagent_OFriend(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_124,axiom,
( c_Message_OinvKey(Eq_x_0) = c_Message_OinvKey(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_125,axiom,
( v_sko__usf(Eq_x_0,Eq_x_1,Eq_x_2) = v_sko__usf(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_126,axiom,
( c_Event_OinitState(Eq_x_0) = c_Event_OinitState(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_127,axiom,
( c_Public_OpublicKey(Eq_x_0,Eq_x_1) = c_Public_OpublicKey(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_128,axiom,
( c_Public_OshrK(Eq_x_0) = c_Public_OshrK(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_129,axiom,
( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_in(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_130,axiom,
( c_Divides_Oop_Advd(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_Divides_Oop_Advd(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_131,axiom,
( c_Infinite__Set_Oatmost__one(Eq_y_0,Eq_y_1)
| ~ c_Infinite__Set_Oatmost__one(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_132,axiom,
( c_lessequals(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_lessequals(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_133,axiom,
( c_less(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_less(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_134,axiom,
( c_List_Odistinct(Eq_y_0,Eq_y_1)
| ~ c_List_Odistinct(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_135,axiom,
( c_Wellfounded__Recursion_Owf(Eq_y_0,Eq_y_1)
| ~ c_Wellfounded__Recursion_Owf(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_136,axiom,
( class_Orderings_Oorder(Eq_y_0)
| ~ class_Orderings_Oorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_137,axiom,
( c_Relation_Otrans(Eq_y_0,Eq_y_1)
| ~ c_Relation_Otrans(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_138,axiom,
( class_Finite__Set_Ofinite(Eq_y_0)
| ~ class_Finite__Set_Ofinite(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_139,axiom,
( class_HOL_Ominus(Eq_y_0)
| ~ class_HOL_Ominus(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_140,axiom,
( class_HOL_Oone(Eq_y_0)
| ~ class_HOL_Oone(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_141,axiom,
( class_Ring__and__Field_Osemiring(Eq_y_0)
| ~ class_Ring__and__Field_Osemiring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_142,axiom,
( class_Ring__and__Field_Ocomm__semiring(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__semiring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_143,axiom,
( class_OrderedGroup_Ocomm__monoid__add(Eq_y_0)
| ~ class_OrderedGroup_Ocomm__monoid__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_144,axiom,
( class_Ring__and__Field_Osemiring__0(Eq_y_0)
| ~ class_Ring__and__Field_Osemiring__0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_145,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_146,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Ocancel__semigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_147,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_148,axiom,
( class_OrderedGroup_Oab__group__add(Eq_y_0)
| ~ class_OrderedGroup_Oab__group__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_149,axiom,
( class_Ring__and__Field_Osemiring__0__cancel(Eq_y_0)
| ~ class_Ring__and__Field_Osemiring__0__cancel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_150,axiom,
( class_Ring__and__Field_Oring(Eq_y_0)
| ~ class_Ring__and__Field_Oring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_151,axiom,
( class_HOL_Oplus(Eq_y_0)
| ~ class_HOL_Oplus(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_152,axiom,
( class_Ring__and__Field_Ocomm__semiring__0__cancel(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_153,axiom,
( class_Ring__and__Field_Ocomm__ring(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__ring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_154,axiom,
( class_Ring__and__Field_Oaxclass__0__neq__1(Eq_y_0)
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_155,axiom,
( class_OrderedGroup_Omonoid__mult(Eq_y_0)
| ~ class_OrderedGroup_Omonoid__mult(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_156,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(Eq_y_0)
| ~ class_OrderedGroup_Ocomm__monoid__mult(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_157,axiom,
( class_Ring__and__Field_Osemiring__1(Eq_y_0)
| ~ class_Ring__and__Field_Osemiring__1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_158,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_159,axiom,
( class_Ring__and__Field_Osemiring__1__cancel(Eq_y_0)
| ~ class_Ring__and__Field_Osemiring__1__cancel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_160,axiom,
( class_Ring__and__Field_Oring__1(Eq_y_0)
| ~ class_Ring__and__Field_Oring__1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_161,axiom,
( class_Ring__and__Field_Ocomm__semiring__1__cancel(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_162,axiom,
( class_HOL_Otimes(Eq_y_0)
| ~ class_HOL_Otimes(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_163,axiom,
( class_Ring__and__Field_Ocomm__ring__1(Eq_y_0)
| ~ class_Ring__and__Field_Ocomm__ring__1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_164,axiom,
( class_LOrder_Omeet__semilorder(Eq_y_0)
| ~ class_LOrder_Omeet__semilorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_165,axiom,
( class_LOrder_Ojoin__semilorder(Eq_y_0)
| ~ class_LOrder_Ojoin__semilorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_166,axiom,
( class_LOrder_Olorder(Eq_y_0)
| ~ class_LOrder_Olorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_167,axiom,
( class_Orderings_Olinorder(Eq_y_0)
| ~ class_Orderings_Olinorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_168,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_169,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_170,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(Eq_y_0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_171,axiom,
( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_172,axiom,
( class_HOL_Ozero(Eq_y_0)
| ~ class_HOL_Ozero(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_173,axiom,
( class_Ring__and__Field_Opordered__semiring(Eq_y_0)
| ~ class_Ring__and__Field_Opordered__semiring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_174,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(Eq_y_0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_175,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(Eq_y_0)
| ~ class_Ring__and__Field_Oordered__semiring__strict(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_176,axiom,
( class_Ring__and__Field_Opordered__comm__semiring(Eq_y_0)
| ~ class_Ring__and__Field_Opordered__comm__semiring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_177,axiom,
( class_Ring__and__Field_Opordered__cancel__comm__semiring(Eq_y_0)
| ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_178,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(Eq_y_0)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_179,axiom,
( class_Ring__and__Field_Oaxclass__abs__if(Eq_y_0)
| ~ class_Ring__and__Field_Oaxclass__abs__if(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_180,axiom,
( class_OrderedGroup_Opordered__ab__group__add(Eq_y_0)
| ~ class_OrderedGroup_Opordered__ab__group__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_181,axiom,
( class_OrderedGroup_Olordered__ab__group(Eq_y_0)
| ~ class_OrderedGroup_Olordered__ab__group(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_182,axiom,
( class_Ring__and__Field_Opordered__ring(Eq_y_0)
| ~ class_Ring__and__Field_Opordered__ring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_183,axiom,
( class_Orderings_Oord(Eq_y_0)
| ~ class_Orderings_Oord(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_184,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(Eq_y_0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_185,axiom,
( class_OrderedGroup_Olordered__ab__group__meet(Eq_y_0)
| ~ class_OrderedGroup_Olordered__ab__group__meet(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_186,axiom,
( class_OrderedGroup_Olordered__ab__group__join(Eq_y_0)
| ~ class_OrderedGroup_Olordered__ab__group__join(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_187,axiom,
( class_Ring__and__Field_Olordered__ring(Eq_y_0)
| ~ class_Ring__and__Field_Olordered__ring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_188,axiom,
( class_Ring__and__Field_Oaxclass__no__zero__divisors(Eq_y_0)
| ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_189,axiom,
( class_Ring__and__Field_Oordered__ring__strict(Eq_y_0)
| ~ class_Ring__and__Field_Oordered__ring__strict(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_190,axiom,
( class_Ring__and__Field_Oordered__semidom(Eq_y_0)
| ~ class_Ring__and__Field_Oordered__semidom(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_191,axiom,
( class_Ring__and__Field_Oidom(Eq_y_0)
| ~ class_Ring__and__Field_Oidom(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_192,axiom,
( class_Ring__and__Field_Oordered__idom(Eq_y_0)
| ~ class_Ring__and__Field_Oordered__idom(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_193,axiom,
( class_Numeral_Onumber(Eq_y_0)
| ~ class_Numeral_Onumber(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_194,axiom,
( class_OrderedGroup_Osemigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Osemigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_195,axiom,
( class_Numeral_Onumber__ring(Eq_y_0)
| ~ class_Numeral_Onumber__ring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_196,axiom,
( class_Divides_Odiv(Eq_y_0)
| ~ class_Divides_Odiv(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_197,axiom,
( class_Nat_Opower(Eq_y_0)
| ~ class_Nat_Opower(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_198,axiom,
( class_Power_Orecpower(Eq_y_0)
| ~ class_Power_Orecpower(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_199,axiom,
( class_Parity_Oeven__odd(Eq_y_0)
| ~ class_Parity_Oeven__odd(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_200,axiom,
( class_OrderedGroup_Oab__semigroup__add(Eq_y_0)
| ~ class_OrderedGroup_Oab__semigroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_201,axiom,
( class_OrderedGroup_Osemigroup__mult(Eq_y_0)
| ~ class_OrderedGroup_Osemigroup__mult(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_202,axiom,
( class_OrderedGroup_Oab__semigroup__mult(Eq_y_0)
| ~ class_OrderedGroup_Oab__semigroup__mult(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_203,axiom,
( class_Wellfounded__Recursion_Owellorder(Eq_y_0)
| ~ class_Wellfounded__Recursion_Owellorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_204,axiom,
( class_Ring__and__Field_Odivision__by__zero(Eq_y_0)
| ~ class_Ring__and__Field_Odivision__by__zero(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_205,axiom,
( class_HOL_Oinverse(Eq_y_0)
| ~ class_HOL_Oinverse(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_206,axiom,
( class_Ring__and__Field_Ofield(Eq_y_0)
| ~ class_Ring__and__Field_Ofield(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_207,axiom,
( class_Ring__and__Field_Oordered__field(Eq_y_0)
| ~ class_Ring__and__Field_Oordered__field(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_208,axiom,
( class_Ring__and__Field_Opordered__comm__ring(Eq_y_0)
| ~ class_Ring__and__Field_Opordered__comm__ring(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_209,axiom,
( c_Wellfounded__Recursion_Oacyclic(Eq_y_0,Eq_y_1)
| ~ c_Wellfounded__Recursion_Oacyclic(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV321-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 03:24:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 239.63/240.02 % SZS status Unsatisfiable for theBenchmark
% 239.63/240.02 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------