CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV264-1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:21:17 PM UTC 2026

% Result   : Unsatisfiable 0.78s 1.67s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 1447)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Relation_Orel__compE_1,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),X6,X4),X3,tc_prod(X6,X4))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_Orel__compE_1) ).

cnf(cls_Relation_Orel__compE_0,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_Orel__compE_0) ).

cnf(cls_Relation_Orel__compE_2,axiom,
    ( X1 = c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5)
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_Orel__compE_2) ).

cnf(cls_Datatype__Universe_OdprodE_0,axiom,
    ( X1 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdprodE_0) ).

cnf(cls_Datatype__Universe_OdprodE_1,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdprodE_1) ).

cnf(cls_Datatype__Universe_OdprodE_2,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdprodE_2) ).

cnf(cls_Datatype__Universe_OdsumE_3,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__1(X2,X1,X4,X5),c_Main_OdsumE__2(X2,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | c_in(c_Pair(c_Main_OdsumE__3(X3,X1,X4,X5),c_Main_OdsumE__4(X3,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdsumE_3) ).

cnf(cls_Datatype__Universe_OdsumE_2,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__1(X2,X1,X4,X5),c_Main_OdsumE__2(X2,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X3,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X3,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdsumE_2) ).

cnf(cls_Datatype__Universe_OdsumE_1,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__3(X3,X1,X4,X5),c_Main_OdsumE__4(X3,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdsumE_1) ).

cnf(cls_List_Olistrel__Cons2_1,axiom,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons2_1) ).

cnf(cls_List_Olistrel__Cons1_1,axiom,
    ( c_in(c_Pair(X2,c_Main_Olistrel__Cons1__2(X5,X4,X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons1_1) ).

cnf(cls_Datatype__Universe_OdprodI_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OScons(X6,X1,X3,X4),c_Datatype__Universe_OScons(X7,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X8,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X6,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdprodI_0) ).

cnf(cls_List_Olistrel__Cons2_2,axiom,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X1,X2,X3,X4),X2,X4,X4),X5,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons2_2) ).

cnf(cls_List_Olistrel__Cons1_2,axiom,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X5,X4,X1,X2,X3),X3,X3),X5,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons1_2) ).

cnf(cls_Datatype__Universe_OdsumE_0,axiom,
    ( X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X3,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X3,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdsumE_0) ).

cnf(cls_Relation_OImageE_1,axiom,
    ( c_in(c_Pair(c_Main_OImageE__1(X3,X1,X2,X4,X5),X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageE_1) ).

cnf(cls_List_Olistrel__Cons1_0,axiom,
    ( X4 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X4,X1,X2,X3),c_Main_Olistrel__Cons1__2(X5,X4,X1,X2,X3),X3)
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons1_0) ).

cnf(cls_List_Olistrel__Cons2_0,axiom,
    ( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X5,X1,X2,X3,X4),X4)
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons2_0) ).

cnf(cls_Datatype__Universe_OuprodE_0,axiom,
    ( X1 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodE_0) ).

cnf(cls_Relation_Orel__compI_0,axiom,
    ( c_in(c_Pair(X6,X2,X7,X4),c_Relation_Orel__comp(X5,X8,X3,X4,X7),tc_prod(X7,X4))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X6,X1,X7,X3),X8,tc_prod(X7,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_Orel__compI_0) ).

cnf(cls_Datatype__Universe_Odsum__In1I_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_OIn1(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X6,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_Odsum__In1I_0) ).

cnf(cls_Datatype__Universe_Odsum__In0I_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X3,X4),c_Datatype__Universe_OIn0(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X5,X6,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_Odsum__In0I_0) ).

cnf(cls_Datatype__Universe_OuprodE_1,axiom,
    ( c_in(c_Main_OuprodE__2(X2,X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodE_1) ).

cnf(cls_Datatype__Universe_OuprodE_2,axiom,
    ( c_in(c_Main_OuprodE__1(X2,X3,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodE_2) ).

cnf(cls_Relation_OImageE_0,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageE_0) ).

cnf(cls_Relation_OconverseE_0,axiom,
    ( c_in(c_Pair(c_Main_OconverseE__1(X2,X1,X3,X4),c_Main_OconverseE__2(X2,X1,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OconverseE_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).

cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).

cnf(cls_Datatype__Universe_OusumE_3,axiom,
    ( c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OusumE_3) ).

cnf(cls_Datatype__Universe_OusumE_2,axiom,
    ( c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OusumE_2) ).

cnf(cls_Datatype__Universe_OusumE_1,axiom,
    ( c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OusumE_1) ).

cnf(cls_Datatype__Universe_OusumE_0,axiom,
    ( X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)
    | X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OusumE_0) ).

cnf(cls_Sum__Type_OPlusE_0,axiom,
    ( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)
    | X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OPlusE_0) ).

cnf(cls_Sum__Type_OPlusE_2,axiom,
    ( c_in(c_Main_OPlusE__1(X2,X1,X4,X5),X2,X4)
    | X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OPlusE_2) ).

cnf(cls_Sum__Type_OPlusE_1,axiom,
    ( c_in(c_Main_OPlusE__2(X3,X1,X5,X4),X3,X5)
    | X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OPlusE_1) ).

cnf(cls_Sum__Type_OPlusE_3,axiom,
    ( c_in(c_Main_OPlusE__1(X2,X1,X4,X5),X2,X4)
    | c_in(c_Main_OPlusE__2(X3,X1,X5,X4),X3,X5)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OPlusE_3) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X4,X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).

cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_0,axiom,
    ( c_Wellfounded__Recursion_Owf(X4,X3)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).

cnf(cls_Relation_ORangeE_0,axiom,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_ORangeE_0) ).

cnf(cls_Relation_ODomainE_0,axiom,
    ( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_ODomainE_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).

cnf(cls_Wellfounded__Recursion_Owf__insert__iff2_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).

cnf(cls_Relation_OImage__singleton__iff__iff1_0,axiom,
    ( c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Relation_OImage__singleton__iff__iff1_0) ).

cnf(cls_GCD_Ogcd__greatest__iff__iff1_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff1_0) ).

cnf(cls_GCD_Ogcd__greatest__iff__iff1_1,axiom,
    ( c_Divides_Oop_Advd(X1,X3,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff1_1) ).

cnf(cls_Relation_OImage__singleton__iff__iff2_0,axiom,
    ( c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Relation_OImage__singleton__iff__iff2_0) ).

cnf(cls_Relation_Oconverse__iff__iff1_0,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Relation_Oconverse__iff__iff1_0) ).

cnf(cls_Relation_Oconverse__iff__iff2_0,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Relation_Oconverse__iff__iff2_0) ).

cnf(cls_Transitive__Closure_Otrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).

cnf(cls_Relation_OImageI_0,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageI_0) ).

cnf(cls_Relation_OconverseE_1,axiom,
    ( X1 = c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3)
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OconverseE_1) ).

cnf(cls_Transitive__Closure_Otrancl_Or__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).

cnf(cls_Datatype__Universe_OuprodI_0,axiom,
    ( c_in(c_Datatype__Universe_OScons(X5,X1,X3,X4),c_Datatype__Universe_Ouprod(X6,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X5,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodI_0) ).

cnf(cls_GCD_Ogcd__greatest__iff__iff2_0,axiom,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff2_0) ).

cnf(cls_Relation_ODomainI_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_ODomainI_0) ).

cnf(cls_Relation_ORangeI_0,axiom,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_ORangeI_0) ).

cnf(cls_GCD_Ogcd__dvd1_0,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_GCD_Ogcd__dvd1_0) ).

cnf(cls_GCD_Ogcd__dvd2_0,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_GCD_Ogcd__dvd2_0) ).

cnf(cls_List_Olistrel__Nil1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Nil1_0) ).

cnf(cls_List_Olistrel__Nil2_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Nil2_0) ).

cnf(cls_List_ONil__notin__lex__iff1_0,axiom,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__notin__lex__iff1_0) ).

cnf(cls_List_ONil2__notin__lex__iff1_0,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil2__notin__lex__iff1_0) ).

cnf(cls_Wellfounded__Relations_Oless__than__iff__iff1_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).

cnf(cls_Relation_Opair__in__Id__conv__iff1_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Relation_Opair__in__Id__conv__iff1_0) ).

cnf(cls_Datatype__Universe_Ousum__In1I_0,axiom,
    ( c_in(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_Ousum__In1I_0) ).

cnf(cls_Datatype__Universe_Ousum__In0I_0,axiom,
    ( c_in(c_Datatype__Universe_OIn0(X1,X3,X4),c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_Ousum__In0I_0) ).

cnf(cls_Finite__Set_Ofinite__Diff__insert__iff1_0,axiom,
    ( c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).

cnf(cls_Product__Type_OPair__eq__iff1_0,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Product__Type_OPair__eq__iff1_0) ).

cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_0,axiom,
    ( X1 = X5
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).

cnf(cls_Product__Type_OPair__eq__iff1_1,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Product__Type_OPair__eq__iff1_1) ).

cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_1,axiom,
    ( X2 = X6
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).

cnf(cls_Sum__Type_OInrI_0,axiom,
    ( c_in(c_Sum__Type_OInr(X1,X3,X4),c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OInrI_0) ).

cnf(cls_Sum__Type_OInlI_0,axiom,
    ( c_in(c_Sum__Type_OInl(X1,X3,X4),c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4))
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OInlI_0) ).

cnf(cls_Relation_OdiagI_0,axiom,
    ( c_in(c_Pair(X1,X1,X3,X3),c_Relation_Odiag(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OdiagI_0) ).

cnf(cls_Finite__Set_Ofinite__Diff__insert__iff2_0,axiom,
    ( c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).

cnf(cls_Wellfounded__Relations_Oless__than__iff__iff2_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).

cnf(cls_Relation_OdiagE_0,axiom,
    ( X1 = c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3)
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OdiagE_0) ).

cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).

cnf(cls_Wellfounded__Relations_Otrans__lex__prod_0,axiom,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))
    | ~ c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Otrans(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).

cnf(cls_Wellfounded__Relations_Owf__lex__prod_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_Wellfounded__Recursion_Owf(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Relations_Owf__lex__prod_0) ).

cnf(cls_Relation_OIdI_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Relation_OIdI_0) ).

cnf(cls_List_Oappend1__eq__conv__iff1_0,axiom,
    ( X1 = X4
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend1__eq__conv__iff1_0) ).

cnf(cls_List_Oappend1__eq__conv__iff1_1,axiom,
    ( X2 = X5
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend1__eq__conv__iff1_1) ).

cnf(cls_Datatype__Universe_OScons__not__Atom__iff1_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OAtom(X5,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).

cnf(cls_Datatype__Universe_OScons__not__Numb__iff1_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_ONumb(X5,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).

cnf(cls_Datatype__Universe_OScons__not__Leaf__iff1_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OLeaf(X5,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).

cnf(cls_Datatype__Universe_OAtom__not__Scons__iff1_0,axiom,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).

cnf(cls_Datatype__Universe_ONumb__not__Scons__iff1_0,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).

cnf(cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).

cnf(cls_List_Oappend__in__lists__conv__iff2_0,axiom,
    ( c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff2_0) ).

cnf(cls_Finite__Set_Ofinite__converse__iff1_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__converse__iff1_0) ).

cnf(cls_List_Orev__eq__Cons__iff__iff2_0,axiom,
    c_List_Orev(c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__eq__Cons__iff__iff2_0) ).

cnf(cls_Relation_OIdE_0,axiom,
    ( X1 = c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OIdE_0) ).

cnf(cls_List_Olists_OCons_0,axiom,
    ( c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olists_OCons_0) ).

cnf(cls_Finite__Set_Ofinite__converse__iff2_0,axiom,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__converse__iff2_0) ).

cnf(cls_List_Oappend__in__lists__conv__iff1_0,axiom,
    ( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff1_0) ).

cnf(cls_List_Oappend__in__lists__conv__iff1_1,axiom,
    ( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff1_1) ).

cnf(cls_List_OlistsE_0,axiom,
    ( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_OlistsE_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq__iff2_0,axiom,
    ( c_insert(X2,c_emptyset,X3) = c_insert(X2,X1,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H__iff2_0,axiom,
    ( c_insert(X2,X1,X3) = c_insert(X2,c_emptyset,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).

cnf(cls_Set_OUnE_0,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

cnf(cls_Set_ODiffE_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_0) ).

cnf(cls_List_OlistsE_1,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_OlistsE_1) ).

cnf(cls_Finite__Set_Ofinite__Un__iff2_0,axiom,
    ( c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff2_0) ).

cnf(cls_Nat_Oadd__gr__0__iff1_0,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__gr__0__iff1_0) ).

cnf(cls_List_Oin__listsI_1,axiom,
    ( c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3))
    | ~ c_in(c_Main_Oin__listsI__1(X1,X2,X3),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Oin__listsI_1) ).

cnf(cls_Set_OInterI_1,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OInterI_1) ).

cnf(cls_Set_OIntI_0,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntI_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq__iff1_1,axiom,
    ( c_lessequals(X4,c_insert(X1,c_emptyset,X2),tc_set(X2))
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_1,axiom,
    ( c_lessequals(X2,c_insert(X4,c_emptyset,X3),tc_set(X3))
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).

cnf(cls_Finite__Set_Ofinite__Union_1,axiom,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Union_1) ).

cnf(cls_Relation_OdiagE_1,axiom,
    ( c_in(c_Main_OdiagE__1(X2,X1,X3),X2,X3)
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OdiagE_1) ).

cnf(cls_Set_ODiffE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_1) ).

cnf(cls_Finite__Set_Ofinite__Un__iff1_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff1_0) ).

cnf(cls_Finite__Set_Ofinite__Un__iff1_1,axiom,
    ( c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff1_1) ).

cnf(cls_List_Oin__listsD__dest_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Oin__listsD__dest_0) ).

cnf(cls_Set_ODiffI_0,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).

cnf(cls_Set_OIntE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_1) ).

cnf(cls_Set_OIntE_0,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_0) ).

cnf(cls_Set_OUnionE_0,axiom,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_0) ).

cnf(cls_List_Orev__eq__Cons__iff__iff1_0,axiom,
    ( X1 = c_append(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__eq__Cons__iff__iff1_0) ).

cnf(cls_Set_OUnionE_1,axiom,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_1) ).

cnf(cls_Finite__Set_Ofinite__Union_0,axiom,
    ( c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Union_0) ).

cnf(cls_Set_OInterD_0,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Inter(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OInterD_0) ).

cnf(cls_Set_OCompl__subset__Compl__iff__iff1_0,axiom,
    ( c_lessequals(X3,X1,tc_set(X2))
    | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).

cnf(cls_List_Oin__listsI_0,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(c_Main_Oin__listsI__1(X2,X1,X3),c_List_Oset(X1,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Oin__listsI_0) ).

cnf(cls_Set_OUnionI_0,axiom,
    ( c_in(X1,c_Union(X4,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnionI_0) ).

cnf(cls_Finite__Set_Ofinite__Int_0,axiom,
    ( c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Int_0) ).

cnf(cls_Finite__Set_Ofinite__Int_1,axiom,
    ( c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Int_1) ).

cnf(cls_Finite__Set_OFinites_OinsertI_0,axiom,
    ( c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_OFinites_OinsertI_0) ).

cnf(cls_Set_OsingletonD__dest_0,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonD__dest_0) ).

cnf(cls_Set_OInterI_0,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OInterI_0) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).

cnf(cls_Set_OUnCI_0,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).

cnf(cls_Set_OinsertCI_0,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_0) ).

cnf(cls_Nat_Onot__add__less1__iff1_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Onot__add__less1__iff1_0) ).

cnf(cls_Nat_Onot__add__less2__iff1_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Onot__add__less2__iff1_0) ).

cnf(cls_SetInterval_OlessThan__subset__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).

cnf(cls_SetInterval_OatMost__subset__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff1_0) ).

cnf(cls_SetInterval_OgreaterThan__subset__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).

cnf(cls_SetInterval_OatLeast__subset__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(cls_Nat_Oadd__gr__0__iff2_0,axiom,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/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(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__gr__0__iff2_1) ).

cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).

cnf(cls_Set_OCompl__subset__Compl__iff__iff2_0,axiom,
    ( c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).

cnf(cls_Set_OComplD__dest_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplD__dest_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(cls_Finite__Set_Ofinite__Pow__iff__iff1_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).

cnf(cls_SetInterval_OgreaterThan__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OgreaterThan(X3,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).

cnf(cls_SetInterval_OatLeast__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OatLeast(X3,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).

cnf(cls_SetInterval_OlessThan__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).

cnf(cls_SetInterval_OatMost__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff2_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).

cnf(cls_Infinite__Set_Oatmost__one__unique_0,axiom,
    ( X3 = X4
    | ~ c_Infinite__Set_Oatmost__one(X1,X2)
    | ~ c_in(X3,X1,X2)
    | ~ c_in(X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Infinite__Set_Oatmost__one__unique_0) ).

cnf(cls_Set_OPow__iff__iff1_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff1_0) ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).

cnf(cls_Message_Oparts_OFst_0,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OFst_0) ).

cnf(cls_Message_Oparts_OBody_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_0) ).

cnf(cls_Message_Oparts_OSnd_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OSnd_0) ).

cnf(cls_Set_OpsubsetE_0,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).

cnf(cls_Finite__Set_Ofinite__Pow__iff__iff2_0,axiom,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff1_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff1_0) ).

cnf(cls_SetInterval_OgreaterThan__iff__iff1_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__iff__iff1_0) ).

cnf(cls_SetInterval_OatMost__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff1_0) ).

cnf(cls_SetInterval_OatLeast__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff1_0) ).

cnf(cls_Set_OPow__iff__iff2_0,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff2_0) ).

cnf(cls_List_Olength__remdups__leq_0,axiom,
    c_lessequals(c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olength__remdups__leq_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff2_0) ).

cnf(cls_SetInterval_OatMost__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff2_0) ).

cnf(cls_SetInterval_OgreaterThan__iff__iff2_0,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThan(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__iff__iff2_0) ).

cnf(cls_SetInterval_OatLeast__iff__iff2_0,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff2_0) ).

cnf(cls_List_Oappend__same__eq__iff1_0,axiom,
    ( X1 = X4
    | c_append(X1,X2,X3) != c_append(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__same__eq__iff1_0) ).

cnf(cls_Datatype__Universe_OAtom__Atom__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).

cnf(cls_Sum__Type_OInr__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInr(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInr__eq__iff1_0) ).

cnf(cls_Sum__Type_OInl__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInl(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInl__eq__iff1_0) ).

cnf(cls_List_Olist_Oinject__iff1_0,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Oinject__iff1_0) ).

cnf(cls_Datatype__Universe_OIn1__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn1__eq__iff1_0) ).

cnf(cls_Datatype__Universe_OIn0__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn0__eq__iff1_0) ).

cnf(cls_Datatype__Universe_ONumb__inject__dest_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_ONumb__inject__dest_0) ).

cnf(cls_Datatype__Universe_OLeaf__inject__dest_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OLeaf__inject__dest_0) ).

cnf(cls_List_Osame__append__eq__iff1_0,axiom,
    ( X2 = X4
    | c_append(X1,X2,X3) != c_append(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Osame__append__eq__iff1_0) ).

cnf(cls_List_Olist_Oinject__iff1_1,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Oinject__iff1_1) ).

cnf(cls_IntDiv_Ozminus__dvd__iff__iff1_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).

cnf(cls_IntDiv_Odvd__zminus__iff__iff1_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).

cnf(cls_Sum__Type_OInr__not__Inl__iff1_0,axiom,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInr__not__Inl__iff1_0) ).

cnf(cls_Sum__Type_OInl__not__Inr__iff1_0,axiom,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInl__not__Inr__iff1_0) ).

cnf(cls_Datatype__Universe_OIn1__not__In0__iff1_0,axiom,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).

cnf(cls_Datatype__Universe_OIn0__not__In1__iff1_0,axiom,
    c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn0__not__In1__iff1_0) ).

cnf(cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).

cnf(cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OLeaf__not__Numb__iff1_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq__iff1_0,axiom,
    ( X3 = X1
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_0,axiom,
    ( X1 = X4
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).

cnf(cls_Set_Osingleton__inject__dest_0,axiom,
    ( X1 = X3
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,c_emptyset,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osingleton__inject__dest_0) ).

cnf(cls_IntDiv_Ozmod__eq__0D__dest_0,axiom,
    ( X1 = c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDiv_Ozmod__eq__0D__dest_0) ).

cnf(cls_Divides_Omod__eq__0D__dest_0,axiom,
    ( X1 = c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat)
    | c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Divides_Omod__eq__0D__dest_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).

cnf(cls_IntDiv_Ozminus__dvd__iff__iff2_0,axiom,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).

cnf(cls_IntDiv_Odvd__zminus__iff__iff2_0,axiom,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).

cnf(cls_SetInterval_Ofinite__greaterThanLessThan__int_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).

cnf(cls_SetInterval_Ofinite__greaterThanLessThan_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).

cnf(cls_SetInterval_Ofinite__greaterThanAtMost__int_0,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).

cnf(cls_SetInterval_Ofinite__greaterThanAtMost_0,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).

cnf(cls_SetInterval_Ofinite__atLeastLessThan__int_0,axiom,
    c_in(c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).

cnf(cls_SetInterval_Ofinite__atLeastLessThan_0,axiom,
    c_in(c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atLeastLessThan_0) ).

cnf(cls_SetInterval_Ofinite__atLeastAtMost__int_0,axiom,
    c_in(c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).

cnf(cls_SetInterval_Ofinite__atLeastAtMost_0,axiom,
    c_in(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atLeastAtMost_0) ).

cnf(cls_Set_OpsubsetI_0,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).

cnf(cls_Set_OsingletonI_0,axiom,
    c_in(X1,c_insert(X1,c_emptyset,X2),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonI_0) ).

cnf(cls_IntDiv_Ozdvd__triv__left_0,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDiv_Ozdvd__triv__left_0) ).

cnf(cls_Divides_Odvd__triv__left_0,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__triv__left_0) ).

cnf(cls_IntDiv_Ozdvd__triv__right_0,axiom,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDiv_Ozdvd__triv__right_0) ).

cnf(cls_Divides_Odvd__triv__right_0,axiom,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__triv__right_0) ).

cnf(cls_Set_OpsubsetE_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_1) ).

cnf(cls_Nat_OSuc__less__eq__iff1_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__less__eq__iff1_0) ).

cnf(cls_Nat_OSuc__le__mono__iff1_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__le__mono__iff1_0) ).

cnf(cls_Nat_OSuc__less__eq__iff2_0,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__less__eq__iff2_0) ).

cnf(cls_Nat_OSuc__le__mono__iff2_0,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__le__mono__iff2_0) ).

cnf(cls_Set_OComplI_0,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplI_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Datatype_Oelem__o2s__iff1_0,axiom,
    ( X2 = c_Datatype_Ooption_OSome(X1,X3)
    | ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Oelem__o2s__iff1_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(X1)),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__greater__0__conv__iff1_0) ).

cnf(cls_Datatype_Oelem__o2s__iff2_0,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Oelem__o2s__iff2_0) ).

cnf(cls_List_Olength__remdups__eq__iff1_0,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__remdups__eq__iff1_0) ).

cnf(cls_IntDef_Onegative__zless_0,axiom,
    c_less(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDef_Onegative__zless_0) ).

cnf(cls_IntDef_Onegative__zle_0,axiom,
    c_lessequals(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDef_Onegative__zle_0) ).

cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Orderings_Oorder__less__irrefl__iff1_0) ).

cnf(cls_Set_Onot__psubset__empty__iff1_0,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_Onot__psubset__empty__iff1_0) ).

cnf(cls_List_Olength__greater__0__conv__iff2_0,axiom,
    ( c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__greater__0__conv__iff2_0) ).

cnf(cls_Nat_Oless__Suc0__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__Suc0__iff1_0) ).

cnf(cls_List_Oappend__self__conv2__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv2__iff1_0) ).

cnf(cls_List_Oappend__self__conv__iff1_0,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv__iff1_0) ).

cnf(cls_List_Oself__append__conv__iff1_0,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv__iff1_0) ).

cnf(cls_List_Oself__append__conv2__iff1_0,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv2__iff1_0) ).

cnf(cls_List_Oappend__is__Nil__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff1_0) ).

cnf(cls_Set_OUn__empty__iff1_0,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUn__empty__iff1_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty__iff1_0,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).

cnf(cls_List_Oappend__is__Nil__conv__iff1_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff1_1) ).

cnf(cls_Set_OUn__empty__iff1_1,axiom,
    ( X2 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUn__empty__iff1_1) ).

cnf(cls_List_ONil__is__append__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__append__conv__iff1_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff1_0,axiom,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).

cnf(cls_List_ONil__is__append__conv__iff1_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__append__conv__iff1_1) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_Infinite__Set_Onat__not__finite_0,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Infinite__Set_Onat__not__finite_0) ).

cnf(cls_List_Olist_Odistinct__2__iff1_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Odistinct__2__iff1_0) ).

cnf(cls_List_Olist_Odistinct__1__iff1_0,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Odistinct__1__iff1_0) ).

cnf(cls_Nat_Oadd__is__0__iff1_0,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__is__0__iff1_0) ).

cnf(cls_Nat_Oadd__is__0__iff1_1,axiom,
    ( X2 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__is__0__iff1_1) ).

cnf(cls_List_Ofinite__set_0,axiom,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Ofinite__set_0) ).

cnf(cls_List_Olists_ONil_0,axiom,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Olists_ONil_0) ).

cnf(cls_Set_OemptyE_0,axiom,
    ~ c_in(X1,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).

cnf(cls_Nat_Oless__irrefl_0,axiom,
    ~ c_less(X1,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_Oless__irrefl_0) ).

cnf(cls_IntDiv_Ozdvd__0__left__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozdvd__0__left__iff1_0) ).

cnf(cls_Divides_Odvd__0__left__iff__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Divides_Odvd__0__left__iff__iff1_0) ).

cnf(cls_Nat_Oless__one__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__one__iff1_0) ).

cnf(cls_Nat_Ole__0__eq__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Ole__0__eq__iff1_0) ).

cnf(cls_Nat_Onot__less0__iff1_0,axiom,
    ~ c_less(X1,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Onot__less0__iff1_0) ).

cnf(cls_SetInterval_Ofinite__lessThan_0,axiom,
    c_in(c_SetInterval_OlessThan(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__lessThan_0) ).

cnf(cls_SetInterval_Ofinite__atMost_0,axiom,
    c_in(c_SetInterval_OatMost(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atMost_0) ).

cnf(cls_Nat_Oneq0__conv__iff2_0,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oneq0__conv__iff2_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_G),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_List_Owf__lex_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Owf__lex_0) ).

cnf(cls_List_Owf__lenlex_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Owf__lenlex_0) ).

cnf(cls_Set_OCompl__eq__Compl__iff__iff1_0,axiom,
    ( X1 = X3
    | c_uminus(X1,tc_set(X2)) != c_uminus(X3,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).

cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(cls_Set_Oempty__subsetI_0,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Oempty__subsetI_0) ).

cnf(cls_Nat_OlessI_0,axiom,
    c_less(X1,c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).

cnf(cls_Nat_Ozero__less__Suc_0,axiom,
    c_less(c_0,c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_Ozero__less__Suc_0) ).

cnf(cls_Finite__Set_OFinites_OemptyI_0,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_OFinites_OemptyI_0) ).

cnf(cls_Divides_Odvd__1__left_0,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__1__left_0) ).

cnf(cls_Nat_Oless__Suc0__iff2_0,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__Suc0__iff2_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_List_Oappend__self__conv2__iff2_0,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv2__iff2_0) ).

cnf(cls_List_Oappend__self__conv__iff2_0,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv__iff2_0) ).

cnf(cls_List_Oself__append__conv2__iff2_0,axiom,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv2__iff2_0) ).

cnf(cls_List_Oself__append__conv__iff2_0,axiom,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv__iff2_0) ).

cnf(cls_SetInterval_OgreaterThan__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OgreaterThan(X2,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).

cnf(cls_SetInterval_OatLeast__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatLeast(X2,X1) != c_SetInterval_OatLeast(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).

cnf(cls_SetInterval_OlessThan__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OlessThan(X2,X1) != c_SetInterval_OlessThan(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).

cnf(cls_SetInterval_OatMost__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatMost(X2,X1) != c_SetInterval_OatMost(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__eq__iff__iff1_0) ).

cnf(cls_Nat_Oneq0__conv__iff1_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oneq0__conv__iff1_0) ).

cnf(cls_Set_OUNIV__I_0,axiom,
    c_in(X1,c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUNIV__I_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty__iff2_0,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).

cnf(cls_Nat_Ole0_0,axiom,
    c_lessequals(c_0,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_Ole0_0) ).

cnf(cls_IntDiv_Ozdvd__1__left_0,axiom,
    c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDiv_Ozdvd__1__left_0) ).

cnf(cls_IntDiv_Ozdvd__0__right_0,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_IntDiv_Ozdvd__0__right_0) ).

cnf(cls_Divides_Odvd__0__right_0,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__0__right_0) ).

cnf(cls_List_Oappend__is__Nil__conv__iff2_0,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff2_0) ).

cnf(cls_Set_OUn__empty__iff2_0,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUn__empty__iff2_0) ).

cnf(cls_List_ONil__is__append__conv__iff2_0,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__append__conv__iff2_0) ).

cnf(cls_Nat_Oless__one__iff2_0,axiom,
    c_less(c_0,c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__one__iff2_0) ).

cnf(cls_Nat_Ole__0__eq__iff2_0,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Ole__0__eq__iff2_0) ).

cnf(cls_IntDiv_Ozdvd__0__left__iff2_0,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozdvd__0__left__iff2_0) ).

cnf(cls_Divides_Odvd__0__left__iff__iff2_0,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Divides_Odvd__0__left__iff__iff2_0) ).

cnf(cls_Nat_Oadd__is__0__iff2_0,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__is__0__iff2_0) ).

cnf(cls_Message_Omsg_Oinject__7__iff1_0,axiom,
    ( X1 = X3
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_0) ).

cnf(cls_Message_Omsg_Oinject__6__iff1_0,axiom,
    ( X1 = X3
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_0) ).

cnf(cls_List_Ochar_Oinject__iff1_0,axiom,
    ( X1 = X3
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Ochar_Oinject__iff1_0) ).

cnf(cls_List_Orev__is__rev__conv__iff1_0,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__is__rev__conv__iff1_0) ).

cnf(cls_Datatype_Ooption_Oinject__iff1_0,axiom,
    ( X1 = X3
    | c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Oinject__iff1_0) ).

cnf(cls_Message_Omsg_Oinject__7__iff1_1,axiom,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_1) ).

cnf(cls_Message_Omsg_Oinject__6__iff1_1,axiom,
    ( X2 = X4
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_1) ).

cnf(cls_List_Ochar_Oinject__iff1_1,axiom,
    ( X2 = X4
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Ochar_Oinject__iff1_1) ).

cnf(clsarity_fun_0,axiom,
    ( class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_fun_0) ).

cnf(clsarity_sum_0,axiom,
    ( class_Finite__Set_Ofinite(tc_sum(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_sum_0) ).

cnf(clsarity_prod_0,axiom,
    ( class_Finite__Set_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_prod_0) ).

cnf(cls_Datatype_Onot__Some__eq__iff1_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Onot__Some__eq__iff1_0) ).

cnf(cls_Datatype_Onot__None__eq__iff1_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Onot__None__eq__iff1_0) ).

cnf(cls_List_Odistinct__remdups_0,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_List_Odistinct__remdups_0) ).

cnf(cls_List_Olength__0__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__0__conv__iff1_0) ).

cnf(clsarity_fun_1,axiom,
    class_Nat_Opower(tc_fun(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_fun_1) ).

cnf(cls_List_Orev__is__Nil__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__is__Nil__conv__iff1_0) ).

cnf(cls_List_Oset__empty__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty__iff1_0) ).

cnf(cls_List_ONil__is__rev__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__rev__conv__iff1_0) ).

cnf(cls_List_Oset__empty2__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty2__iff1_0) ).

cnf(cls_Datatype_Ooption_Odistinct__2__iff1_0,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).

cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).

cnf(cls_List_Olength__0__conv__iff2_0,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__0__conv__iff2_0) ).

cnf(clsarity_Datatype__Ooption_0,axiom,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_Datatype__Ooption_0) ).

cnf(clsarity_set_3,axiom,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_3) ).

cnf(cls_Message_Omsg_Oinject__5__iff1_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__5__iff1_0) ).

cnf(cls_Message_Omsg_Oinject__4__iff1_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__4__iff1_0) ).

cnf(cls_Message_Omsg_Oinject__3__iff1_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__3__iff1_0) ).

cnf(cls_Message_Omsg_Oinject__2__iff1_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__2__iff1_0) ).

cnf(cls_Message_Omsg_Oinject__1__iff1_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__1__iff1_0) ).

cnf(cls_Message_Oagent_Oinject__iff1_0,axiom,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Oinject__iff1_0) ).

cnf(cls_IntDef_Oint__int__eq__iff1_0,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_IntDef_Oint__int__eq__iff1_0) ).

cnf(cls_Nat_OSuc__Suc__eq__iff1_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__Suc__eq__iff1_0) ).

cnf(cls_Wellfounded__Recursion_Owf__empty_0,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Recursion_Owf__empty_0) ).

cnf(cls_List_Orev__is__Nil__conv__iff2_0,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__is__Nil__conv__iff2_0) ).

cnf(cls_List_Oset__empty__iff2_0,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty__iff2_0) ).

cnf(cls_List_ONil__is__rev__conv__iff2_0,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__rev__conv__iff2_0) ).

cnf(cls_List_Oset__empty2__iff2_0,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty2__iff2_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_1,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_1) ).

cnf(clsrel_Ring__and__Field_Ofield_30,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_30) ).

cnf(clsrel_Ring__and__Field_Odivision__by__zero_1,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Odivision__by__zero_1) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_7,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_7) ).

cnf(clsrel_Ring__and__Field_Oordered__field_20,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_20) ).

cnf(clsrel_Ring__and__Field_Ofield_17,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_17) ).

cnf(clsrel_Power_Orecpower_9,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_9) ).

cnf(clsrel_Numeral_Onumber__ring_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_5) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_17) ).

cnf(clsrel_Ring__and__Field_Oidom_17,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_17) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_11) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_2,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_7,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_7) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_5) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_1,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_2,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_1,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_3,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_3) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_11,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_11) ).

cnf(clsrel_Ring__and__Field_Oordered__field_24,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_24) ).

cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_21) ).

cnf(clsrel_OrderedGroup_Oab__semigroup__mult_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__mult_0) ).

cnf(clsrel_Power_Orecpower_8,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_8) ).

cnf(clsrel_Numeral_Onumber__ring_4,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_4) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_21) ).

cnf(clsrel_Ring__and__Field_Oidom_21,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_21) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_15,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_15) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_8,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_8) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_15,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_15) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_8,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_8) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_5,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_5) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_2,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_2) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_3,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_3) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_2,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_11,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_11) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16) ).

cnf(clsrel_Ring__and__Field_Oring__1_8,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_8) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_11,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_11) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_8,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_8) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_5,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_5) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_2,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_2) ).

cnf(clsrel_OrderedGroup_Omonoid__mult_1,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Omonoid__mult_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_5,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_5) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5) ).

cnf(clsrel_Ring__and__Field_Oring_4,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_4) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_2,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_6,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_6) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_4,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_4,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_4) ).

cnf(clsrel_Ring__and__Field_Osemiring_3,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_3) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_16,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_16) ).

cnf(clsrel_Ring__and__Field_Oordered__field_27,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_27) ).

cnf(clsrel_Ring__and__Field_Ofield_26,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_26) ).

cnf(clsrel_Power_Orecpower_6,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_6) ).

cnf(clsrel_Numeral_Onumber__ring_2,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_2) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_26,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_26) ).

cnf(clsrel_Ring__and__Field_Oidom_26,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_26) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_20,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_20) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_11) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_20,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_20) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_11) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_11) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_10,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_10) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_11) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_11) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_5) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_8,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_8) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_5) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_8,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_8) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_5) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_2,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_16,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_16) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11) ).

cnf(clsrel_Ring__and__Field_Oring__1_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_11) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_6,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_6) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_11,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_11) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_8,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_8) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_8,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_8) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8) ).

cnf(clsrel_Ring__and__Field_Oring_1,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_1) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_5,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_5) ).

cnf(clsrel_OrderedGroup_Oab__group__add_3,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_3) ).

cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_3,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_3) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_1,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_1) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__add_1,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_0) ).

cnf(clsrel_Ring__and__Field_Osemiring_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_0) ).

cnf(clsrel_Power_Orecpower_0,axiom,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_18,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_18) ).

cnf(clsrel_Ring__and__Field_Oordered__field_29,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_29) ).

cnf(clsrel_Ring__and__Field_Ofield_28,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_28) ).

cnf(clsrel_OrderedGroup_Oab__semigroup__add_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__add_0) ).

cnf(clsrel_Power_Orecpower_5,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_5) ).

cnf(clsrel_Numeral_Onumber__ring_1,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_1) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_28,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_28) ).

cnf(clsrel_Ring__and__Field_Oidom_28,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_28) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_22,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_22) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_12) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_22,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_22) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_13,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_13) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_13,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_13) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_12) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_12) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_13,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_13) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_7,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_7) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_9,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_9) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_6,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_6) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_9,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_9) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_6,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_6) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_3,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_18,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_18) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12) ).

cnf(clsrel_Ring__and__Field_Oring__1_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_12) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_7,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_7) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_12,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_12) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_9,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_9) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_9,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_9) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9) ).

cnf(clsrel_Ring__and__Field_Oring_2,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_2) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_6,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_6) ).

cnf(clsrel_OrderedGroup_Oab__group__add_4,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_4) ).

cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1) ).

cnf(clsrel_OrderedGroup_Ocancel__semigroup__add_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocancel__semigroup__add_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_4,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_4) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_2,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_2) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__add_2,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_1,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_1) ).

cnf(clsrel_Ring__and__Field_Osemiring_1,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_1) ).

cnf(clsrel_Numeral_Onumber__ring_30,axiom,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_30) ).

cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_34) ).

cnf(clsrel_Ring__and__Field_Oordered__field_2,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_2) ).

cnf(clsrel_Ring__and__Field_Ofield_31,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_31) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_57,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_57) ).

cnf(clsrel_Ring__and__Field_Oordered__field_60,axiom,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_60) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_55,axiom,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_55) ).

cnf(clsrel_Ring__and__Field_Oordered__field_38,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_38) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_47,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_47) ).

cnf(clsrel_Ring__and__Field_Oordered__field_31,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_31) ).

cnf(clsrel_Ring__and__Field_Ofield_32,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_32) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_56,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_56) ).

cnf(clsrel_Ring__and__Field_Oidom_30,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_30) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_36,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_36) ).

cnf(clsrel_Ring__and__Field_Oordered__field_43,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_43) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_48,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_48) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_31,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).

cnf(clsrel_Ring__and__Field_Oordered__field_49,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_49) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_52,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_52) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_35,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_30,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_30) ).

cnf(clsrel_Ring__and__Field_Oordered__field_48,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_48) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_51,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_51) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_34,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_29,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_29) ).

cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_47) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_33,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_24,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_24) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_24,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_24) ).

cnf(clsrel_Ring__and__Field_Oordered__field_59,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_59) ).

cnf(clsrel_Wellfounded__Recursion_Owellorder_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_45,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_45) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_39,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_39) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_27,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_11,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_11) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_9,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_9,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_18,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_18,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_18) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_9,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_9) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_11,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).

cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_1,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_14,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_18,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_12,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_11,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_11) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_1,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).

cnf(clsrel_Orderings_Olinorder_3,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_3) ).

cnf(clsrel_LOrder_Olorder_1,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Olorder_1) ).

cnf(clsrel_LOrder_Ojoin__semilorder_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Ojoin__semilorder_0) ).

cnf(clsrel_LOrder_Omeet__semilorder_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Omeet__semilorder_0) ).

cnf(clsrel_Orderings_Oorder_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Oorder_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_44,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_44) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_49,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_49) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_32,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_0,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_50,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_50) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_53,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_53) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_29,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_25,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_25) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_16,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_16,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_54,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_54) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_30,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_2,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_2) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_19,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_19) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_42,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_42) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_46,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_46) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_28,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).

cnf(clsrel_Ring__and__Field_Oordered__field_35,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_35) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_30,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_30) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_24,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_24) ).

cnf(clsrel_Ring__and__Field_Oordered__field_36,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_36) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_39,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_39) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_33,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_33) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_20,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_20) ).

cnf(clsrel_Ring__and__Field_Oordered__field_37,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_37) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_41,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_41) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_35,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_35) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_39,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_39) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_31,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_31) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_25,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_25) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_15,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).

cnf(clsrel_Ring__and__Field_Oordered__field_45,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_45) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_34,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_34) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_23,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_7,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_7) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_22,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_22) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_22,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_21,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_21) ).

cnf(clsrel_Ring__and__Field_Oordered__field_46,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_46) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_36,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_36) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_24,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_8,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_8) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_15,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_15) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_15,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_23,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_14,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_14) ).

cnf(clsrel_Ring__and__Field_Oordered__field_32,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_32) ).

cnf(clsrel_Ring__and__Field_Ofield_24,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_24) ).

cnf(clsrel_Ring__and__Field_Odivision__by__zero_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Odivision__by__zero_0) ).

cnf(clsrel_Power_Orecpower_1,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_1) ).

cnf(clsrel_Numeral_Onumber__ring_8,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_8) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_24,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_24) ).

cnf(clsrel_Ring__and__Field_Oidom_24,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_24) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_18,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_18) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_14,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_14) ).

cnf(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_18,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_18) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_4,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_4) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_4,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_4) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_5,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_5) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_14,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_14) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_4,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_4) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_3,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_3) ).

cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_2,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__abs__if_2) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_11,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_11) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_8,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_8) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_6,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_6) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_8,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_8) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_14,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_14) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10) ).

cnf(clsrel_Ring__and__Field_Oring__1_14,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_14) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_5,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_5) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_1,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_1) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_1,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_1) ).

cnf(clsrel_Ring__and__Field_Oaxclass__0__neq__1_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__0__neq__1_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_11,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_11) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11) ).

cnf(clsrel_Ring__and__Field_Oring_9,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_9) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_8,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_8) ).

cnf(clsrel_OrderedGroup_Oab__group__add_2,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_9,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_9) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_7,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_7) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__add_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_40,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_40) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_32,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_32) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_26,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_26) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_16,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_9,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).

cnf(clsrel_Ring__and__Field_Oordered__field_55,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_55) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_37) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_31,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_31) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_21,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_5,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_5) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_5,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_5,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_6,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_20,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_20) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_5,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_5) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_12,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_14,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).

cnf(clsrel_Ring__and__Field_Oordered__field_56,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_56) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_38,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_38) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_32,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_32) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_22,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_6,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_6) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_6,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_6,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_7,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_21,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_21) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_6,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_6) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_13,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_15,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_22,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_22) ).

cnf(clsrel_Ring__and__Field_Oordered__field_57,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_57) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_43,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_43) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_37,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_37) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_25,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_9,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_9) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_7,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_7,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_8,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_16,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_16) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_7,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_7) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_9,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_12,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_16,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_7,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_9,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_9) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_41,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_41) ).

cnf(clsrel_Wellfounded__Recursion_Owellorder_5,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_5) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_27,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_27) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_17,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_10,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).

cnf(clsrel_Ring__and__Field_Oordered__field_51,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_51) ).

cnf(clsrel_Wellfounded__Recursion_Owellorder_4,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_4) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_34,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_34) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_28,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_28) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_18,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_26,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_26) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_17,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_17,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_14,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_15,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_15) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_11,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).

cnf(clsrel_Orderings_Olinorder_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_52,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_52) ).

cnf(clsrel_Wellfounded__Recursion_Owellorder_3,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_3) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_35) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_29,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_29) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_19,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_27,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_27) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_15,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_18,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_16,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_16) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_12,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).

cnf(clsrel_Orderings_Olinorder_1,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_1) ).

cnf(clsrel_LOrder_Olorder_3,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Olorder_3) ).

cnf(clsrel_Ring__and__Field_Oordered__field_53,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_53) ).

cnf(clsrel_Wellfounded__Recursion_Owellorder_2,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_2) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_36,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_36) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_30,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_30) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_20,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_28,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_28) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_18,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_15,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_16,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_17,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_17) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_13,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).

cnf(clsrel_Orderings_Olinorder_2,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_2) ).

cnf(clsrel_LOrder_Olorder_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Olorder_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_3,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_3) ).

cnf(clsrel_Ring__and__Field_Ofield_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_0) ).

cnf(clsrel_Numeral_Onumber__ring_29,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_29) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_0) ).

cnf(clsrel_Ring__and__Field_Oidom_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_12,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_12) ).

cnf(clsrel_Ring__and__Field_Oordered__field_33,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_33) ).

cnf(clsrel_Ring__and__Field_Ofield_22,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_22) ).

cnf(clsrel_OrderedGroup_Oab__semigroup__mult_1,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__mult_1) ).

cnf(clsrel_OrderedGroup_Osemigroup__mult_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Osemigroup__mult_0) ).

cnf(clsrel_Power_Orecpower_7,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_7) ).

cnf(clsrel_Numeral_Onumber__ring_3,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_3) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_22,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_22) ).

cnf(clsrel_Ring__and__Field_Oidom_22,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_22) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_16,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_16) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_9,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_9) ).

cnf(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_16,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_16) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_9,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_9) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_6,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_6) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_3,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_3) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_4,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_4) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_3,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_12,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_12) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17) ).

cnf(clsrel_Ring__and__Field_Oring__1_9,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_9) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_12,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_12) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_9,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_9) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_6,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_6) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_3,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_3) ).

cnf(clsrel_OrderedGroup_Omonoid__mult_2,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Omonoid__mult_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_6,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_6) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6) ).

cnf(clsrel_Ring__and__Field_Oring_5,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_5) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_3,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_7,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_7) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_5,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_5) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_5,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_5) ).

cnf(clsrel_Ring__and__Field_Osemiring_4,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_4) ).

cnf(clsrel_Ring__and__Field_Oordered__field_9,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_9) ).

cnf(clsrel_Ring__and__Field_Ofield_6,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_6) ).

cnf(clsrel_Power_Orecpower_24,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_24) ).

cnf(clsrel_Numeral_Onumber__ring_28,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_28) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_6,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_6) ).

cnf(clsrel_Ring__and__Field_Oidom_6,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_6) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_28,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_28) ).

cnf(clsrel_Ring__and__Field_Oordered__field_5,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_5) ).

cnf(clsrel_Ring__and__Field_Ofield_2,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_2) ).

cnf(clsrel_Numeral_Onumber__ring_27,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_27) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_2,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_2) ).

cnf(clsrel_Ring__and__Field_Oidom_2,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_26,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_26) ).

cnf(clsrel_Ring__and__Field_Oordered__field_12,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_12) ).

cnf(clsrel_Ring__and__Field_Ofield_9,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_9) ).

cnf(clsrel_Power_Orecpower_22,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_22) ).

cnf(clsrel_Numeral_Onumber__ring_26,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_26) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_9,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_9) ).

cnf(clsrel_Ring__and__Field_Oidom_9,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_9) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_3,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_27,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_27) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20) ).

cnf(clsrel_Ring__and__Field_Oring__1_19,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_19) ).

cnf(clsrel_Ring__and__Field_Oordered__field_10,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_10) ).

cnf(clsrel_Ring__and__Field_Ofield_7,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_7) ).

cnf(clsrel_Power_Orecpower_18,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_18) ).

cnf(clsrel_Numeral_Onumber__ring_25,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_25) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_7,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_7) ).

cnf(clsrel_Ring__and__Field_Oidom_7,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_7) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_20,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_20) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_13,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_13) ).

cnf(clsrel_Ring__and__Field_Ofield_10,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_10) ).

cnf(clsrel_Power_Orecpower_17,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_17) ).

cnf(clsrel_Numeral_Onumber__ring_24,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_24) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_10,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_10) ).

cnf(clsrel_Ring__and__Field_Oidom_10,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_10) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_4,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_22,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_22) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5) ).

cnf(clsrel_Ring__and__Field_Oring__1_15,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_15) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_16,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_16) ).

cnf(clsrel_Ring__and__Field_Oordered__field_11,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_11) ).

cnf(clsrel_Ring__and__Field_Ofield_8,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_8) ).

cnf(clsrel_Power_Orecpower_16,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_16) ).

cnf(clsrel_Numeral_Onumber__ring_23,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_23) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_8,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_8) ).

cnf(clsrel_Ring__and__Field_Oidom_8,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_8) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_2,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_21,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_21) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_14,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_14) ).

cnf(clsrel_Ring__and__Field_Oordered__field_15,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_15) ).

cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_12) ).

cnf(clsrel_Power_Orecpower_15,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_15) ).

cnf(clsrel_Numeral_Onumber__ring_22,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_22) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_12,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_12) ).

cnf(clsrel_Ring__and__Field_Oidom_12,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_12) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_6,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_6) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_24,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_24) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14) ).

cnf(clsrel_Ring__and__Field_Oring__1_17,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_17) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_9,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_9) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_15,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_15) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_11,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_11) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_4,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_4) ).

cnf(clsrel_Ring__and__Field_Oordered__field_14,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_14) ).

cnf(clsrel_Ring__and__Field_Ofield_11,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_11) ).

cnf(clsrel_Power_Orecpower_3,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_3) ).

cnf(clsrel_Numeral_Onumber__ring_21,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_21) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_11,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_11) ).

cnf(clsrel_Ring__and__Field_Oidom_11,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_11) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_5,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_5) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_23,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_23) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6) ).

cnf(clsrel_Ring__and__Field_Oring__1_16,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_16) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_1,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_0) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_4,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_4) ).

cnf(clsrel_Ring__and__Field_Ofield_1,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_1) ).

cnf(clsrel_Numeral_Onumber__ring_19,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_19) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_1,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_1) ).

cnf(clsrel_Ring__and__Field_Oidom_1,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_4,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_4) ).

cnf(clsrel_Ring__and__Field_Oordered__field_17,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_17) ).

cnf(clsrel_Ring__and__Field_Ofield_14,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_14) ).

cnf(clsrel_Power_Orecpower_23,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_23) ).

cnf(clsrel_Numeral_Onumber__ring_18,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_18) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_14,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_14) ).

cnf(clsrel_Ring__and__Field_Oidom_14,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_14) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_8,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_8) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_4,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_18,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_18) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_19,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_19) ).

cnf(clsrel_Ring__and__Field_Oordered__field_30,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_30) ).

cnf(clsrel_Ring__and__Field_Ofield_29,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_29) ).

cnf(clsrel_OrderedGroup_Oab__semigroup__add_1,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__semigroup__add_1) ).

cnf(clsrel_Power_Orecpower_4,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_4) ).

cnf(clsrel_Numeral_Onumber__ring_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_0) ).

cnf(clsrel_OrderedGroup_Osemigroup__add_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Osemigroup__add_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_29,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_29) ).

cnf(clsrel_Ring__and__Field_Oidom_29,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_29) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_23,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_23) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_13) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_23,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_23) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_14,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_14) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_14,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_14) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_13) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_13) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_14,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_14) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_8,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_8) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_10,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_10) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_7,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_7) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_10,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_10) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_7,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_7) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_4,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_19,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_19) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13) ).

cnf(clsrel_Ring__and__Field_Oring__1_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_13) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_8,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_8) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_13,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_13) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_10,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_10) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_10,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_10) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10) ).

cnf(clsrel_Ring__and__Field_Oring_3,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_3) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_7,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_7) ).

cnf(clsrel_OrderedGroup_Oab__group__add_5,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_5) ).

cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2) ).

cnf(clsrel_OrderedGroup_Ocancel__semigroup__add_1,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocancel__semigroup__add_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_5,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_5) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_3,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_3) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__add_3,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__add_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_2,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_2) ).

cnf(clsrel_Ring__and__Field_Osemiring_2,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring_2) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_1,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_1) ).

cnf(clsrel_Ring__and__Field_Oordered__field_6,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_6) ).

cnf(clsrel_Ring__and__Field_Ofield_3,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_3) ).

cnf(clsrel_Numeral_Onumber__ring_17,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_17) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_3,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_3) ).

cnf(clsrel_Ring__and__Field_Oidom_3,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_3) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_0) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_1,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_1) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_1,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_1) ).

cnf(clsrel_Ring__and__Field_Oring__1_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_16,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_16) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_8,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_8) ).

cnf(clsrel_Ring__and__Field_Oordered__field_21,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_21) ).

cnf(clsrel_Ring__and__Field_Ofield_18,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_18) ).

cnf(clsrel_Power_Orecpower_21,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_21) ).

cnf(clsrel_Numeral_Onumber__ring_16,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_16) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_18,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_18) ).

cnf(clsrel_Ring__and__Field_Oidom_18,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_18) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_12,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_12) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_3,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_3) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_12,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_12) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_3,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_3) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_21,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_21) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_15,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_15) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_8,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_8) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21) ).

cnf(clsrel_Ring__and__Field_Oring__1_3,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_3) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_15,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_15) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_17,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_17) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14) ).

cnf(clsrel_Ring__and__Field_Oring_12,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_12) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_2,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_2) ).

cnf(clsrel_Ring__and__Field_Oordered__field_7,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_7) ).

cnf(clsrel_Ring__and__Field_Ofield_4,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_4) ).

cnf(clsrel_Numeral_Onumber__ring_15,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_15) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).

cnf(clsrel_Ring__and__Field_Oidom_4,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_4) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_1,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_1) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_3,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_3) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_1,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_1) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_1,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_1) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_2,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_2) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_1,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_1) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_1,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_1) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_2,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_2) ).

cnf(clsrel_Ring__and__Field_Oring__1_1,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_12,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_12) ).

cnf(clsrel_Ring__and__Field_Oring_6,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_6) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_15,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_15) ).

cnf(clsrel_Ring__and__Field_Oordered__field_26,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_26) ).

cnf(clsrel_Ring__and__Field_Ofield_25,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_25) ).

cnf(clsrel_Power_Orecpower_20,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_20) ).

cnf(clsrel_Numeral_Onumber__ring_14,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_14) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_25,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_25) ).

cnf(clsrel_Ring__and__Field_Oidom_25,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_25) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_19,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_19) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_4,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_4) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_19,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_19) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_10,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_10) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_10,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_10) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_9,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_9) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_4,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_4) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_10,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_10) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_4,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_4) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_19,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_19) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_13,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_13) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_15,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_15) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18) ).

cnf(clsrel_Ring__and__Field_Oring__1_4,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_4) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_13,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_13) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_14,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_14) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12) ).

cnf(clsrel_Ring__and__Field_Oring_10,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_10) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_9,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_9) ).

cnf(clsrel_OrderedGroup_Oab__group__add_6,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_6) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_17,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_17) ).

cnf(clsrel_Ring__and__Field_Oordered__field_28,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_28) ).

cnf(clsrel_Ring__and__Field_Ofield_27,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_27) ).

cnf(clsrel_Power_Orecpower_19,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_19) ).

cnf(clsrel_Numeral_Onumber__ring_13,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_13) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_27,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_27) ).

cnf(clsrel_Ring__and__Field_Oidom_27,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_27) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_21,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_21) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_5,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_5) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_21,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_21) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_12,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_12) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_12,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_12) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_11,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_11) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_5,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_5) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_12,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_12) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_6,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_6) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_20,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_20) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_14,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_14) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_17,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_17) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19) ).

cnf(clsrel_Ring__and__Field_Oring__1_5,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_5) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_14,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_14) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_15,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_15) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13) ).

cnf(clsrel_Ring__and__Field_Oring_11,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_11) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_10,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_10) ).

cnf(clsrel_OrderedGroup_Oab__group__add_7,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_7) ).

cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_5,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_5) ).

cnf(clsrel_Ring__and__Field_Oordered__field_18,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_18) ).

cnf(clsrel_Ring__and__Field_Ofield_15,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_15) ).

cnf(clsrel_Power_Orecpower_14,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_14) ).

cnf(clsrel_Numeral_Onumber__ring_11,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_11) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_15,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_15) ).

cnf(clsrel_Ring__and__Field_Oidom_15,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_15) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_9,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_9) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_5,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_5) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_3,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_9,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_9) ).

cnf(clsrel_Ring__and__Field_Oordered__field_22,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_22) ).

cnf(clsrel_Ring__and__Field_Ofield_19,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_19) ).

cnf(clsrel_Power_Orecpower_13,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_13) ).

cnf(clsrel_Numeral_Onumber__ring_10,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_10) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_19,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_19) ).

cnf(clsrel_Ring__and__Field_Oidom_19,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_19) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_13,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_13) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_6,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_6) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_13,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_13) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_6,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_6) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_3,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_3) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_0) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_1,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_1) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_9,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_9) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7) ).

cnf(clsrel_Ring__and__Field_Oring__1_6,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_6) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_2,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_6,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_6) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_3,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_3,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3) ).

cnf(clsrel_Ring__and__Field_Oring_13,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_13) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_10,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_10) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_13,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_13) ).

cnf(clsrel_Ring__and__Field_Oordered__field_25,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_25) ).

cnf(clsrel_Ring__and__Field_Ofield_23,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_23) ).

cnf(clsrel_Power_Orecpower_12,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_12) ).

cnf(clsrel_Numeral_Onumber__ring_9,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_9) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(clsrel_Ring__and__Field_Oidom_23,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_23) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_17,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_17) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_10,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_10) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_17,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_17) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_3,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_3) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_3,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_3) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_4,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_4) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_10,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_10) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_3,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_3) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_2,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_2) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_7,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_7) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_4,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_4) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_5,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_5) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_4,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_13,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_13) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9) ).

cnf(clsrel_Ring__and__Field_Oring__1_10,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_10) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_4,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_10,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_10) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_7,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_7) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_7,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_7) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7) ).

cnf(clsrel_Ring__and__Field_Oring_8,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_8) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_4,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_4) ).

cnf(clsrel_OrderedGroup_Oab__group__add_1,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_8,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_8) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_6,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_6) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_6,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_6) ).

cnf(clsrel_Ring__and__Field_Oordered__field_19,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_19) ).

cnf(clsrel_Ring__and__Field_Ofield_16,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_16) ).

cnf(clsrel_Power_Orecpower_11,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_11) ).

cnf(clsrel_Numeral_Onumber__ring_7,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_7) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_16,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_16) ).

cnf(clsrel_Ring__and__Field_Oidom_16,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_16) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_10,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_10) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_6,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_6) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_4,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_10,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_10) ).

cnf(clsrel_Ring__and__Field_Oordered__field_23,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_23) ).

cnf(clsrel_Ring__and__Field_Ofield_20,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_20) ).

cnf(clsrel_Power_Orecpower_10,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_10) ).

cnf(clsrel_Numeral_Onumber__ring_6,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_6) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_20,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_20) ).

cnf(clsrel_Ring__and__Field_Oidom_20,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_20) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_14,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_14) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_7,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_7) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_14,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_14) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_7,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_7) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_4,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_4) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_1,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_1) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_2,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_2) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_1,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_10,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_10) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8) ).

cnf(clsrel_Ring__and__Field_Oring__1_7,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_7) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_3,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_3) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_7,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_7) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_4,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_4,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_4) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4) ).

cnf(clsrel_Ring__and__Field_Oring_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_0) ).

cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_1,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0__cancel_1) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_2,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__0_2) ).

cnf(clsrel_Ring__and__Field_Osemiring__0_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__0_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring_6,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring_6) ).

cnf(clsrel_Ring__and__Field_Oordered__field_16,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_16) ).

cnf(clsrel_Ring__and__Field_Ofield_13,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_13) ).

cnf(clsrel_Power_Orecpower_2,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Power_Orecpower_2) ).

cnf(clsrel_Numeral_Onumber__ring_20,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_20) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_13,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_13) ).

cnf(clsrel_Ring__and__Field_Oidom_13,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_13) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_7,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_7) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_25,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_25) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15) ).

cnf(clsrel_Ring__and__Field_Oring__1_18,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_18) ).

cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_10,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1__cancel_10) ).

cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_2,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__semiring__1_2) ).

cnf(clsrel_Ring__and__Field_Osemiring__1_2,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Osemiring__1_2) ).

cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Ocomm__monoid__mult_0) ).

cnf(clsrel_OrderedGroup_Omonoid__mult_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Omonoid__mult_0) ).

cnf(clsrel_Ring__and__Field_Oaxclass__0__neq__1_1,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__0__neq__1_1) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_3,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_3) ).

cnf(clsrel_Ring__and__Field_Oordered__field_8,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_8) ).

cnf(clsrel_Ring__and__Field_Ofield_5,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ofield_5) ).

cnf(clsrel_Numeral_Onumber__ring_12,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Numeral_Onumber__ring_12) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_5,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_5) ).

cnf(clsrel_Ring__and__Field_Oidom_5,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oidom_5) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_2,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_2) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_4,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_4) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_2,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_2) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_2,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_2) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_3,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_3) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_2,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_2) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_2,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_2) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_1,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_1) ).

cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oaxclass__abs__if_0) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring__1_3,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_3) ).

cnf(clsrel_Ring__and__Field_Oring__1_2,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring__1_2) ).

cnf(clsrel_Ring__and__Field_Ocomm__ring_13,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring_13) ).

cnf(clsrel_Ring__and__Field_Oring_7,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oring_7) ).

cnf(clsrel_OrderedGroup_Oab__group__add_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_0) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__ring_23,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__ring_23) ).

cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_58) ).

cnf(clsrel_Wellfounded__Recursion_Owellorder_1,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Wellfounded__Recursion_Owellorder_1) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(clsrel_Ring__and__Field_Oordered__semidom_38,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semidom_38) ).

cnf(clsrel_Ring__and__Field_Oordered__ring__strict_26,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).

cnf(clsrel_Ring__and__Field_Olordered__ring_10,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_10) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__join_8,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_8,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).

cnf(clsrel_Ring__and__Field_Opordered__ring_17,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__ring_17) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group_8,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group_8) ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_10,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).

cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).

cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_13,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).

cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_17,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).

cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_11,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).

cnf(clsrel_Ring__and__Field_Opordered__semiring_10,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_10) ).

cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).

cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).

cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).

cnf(clsrel_Orderings_Olinorder_4,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_4) ).

cnf(clsrel_LOrder_Olorder_2,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Olorder_2) ).

cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Ojoin__semilorder_1) ).

cnf(clsrel_LOrder_Omeet__semilorder_1,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Omeet__semilorder_1) ).

cnf(cls_Wellfounded__Relations_Otrans__less__than_0,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Relations_Otrans__less__than_0) ).

cnf(cls_Wellfounded__Relations_Owf__less__than_0,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Relations_Owf__less__than_0) ).

cnf(clsarity_set_4,axiom,
    class_Nat_Opower(tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_4) ).

cnf(clsarity_set_1,axiom,
    class_Orderings_Oord(tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_1) ).

cnf(clsarity_set_0,axiom,
    class_HOL_Ominus(tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_0) ).

cnf(clsarity_set_2,axiom,
    class_Orderings_Oorder(tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_2) ).

cnf(cls_Message_Oagent_Odistinct__5__iff1_0,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__5__iff1_0) ).

cnf(cls_Message_Oagent_Odistinct__2__iff1_0,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__2__iff1_0) ).

cnf(cls_Nat_OSuc__not__Zero__iff1_0,axiom,
    c_Suc(X1) != c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__not__Zero__iff1_0) ).

cnf(cls_Message_Oagent_Odistinct__6__iff1_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__6__iff1_0) ).

cnf(cls_Message_Oagent_Odistinct__1__iff1_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__1__iff1_0) ).

cnf(cls_Nat_OZero__not__Suc__iff1_0,axiom,
    c_0 != c_Suc(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Nat_OZero__not__Suc__iff1_0) ).

cnf(clsarity_nat_8,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_8) ).

cnf(clsarity_IntDef__Oint_9,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_9) ).

cnf(clsarity_nat_17,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_17) ).

cnf(clsarity_IntDef__Oint_8,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_8) ).

cnf(clsarity_nat_16,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_16) ).

cnf(clsarity_IntDef__Oint_7,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_7) ).

cnf(clsarity_nat_15,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_15) ).

cnf(clsarity_IntDef__Oint_64,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_64) ).

cnf(clsarity_nat_47,axiom,
    class_Parity_Oeven__odd(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_47) ).

cnf(clsarity_IntDef__Oint_63,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_63) ).

cnf(clsarity_nat_45,axiom,
    class_Power_Orecpower(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_45) ).

cnf(clsarity_IntDef__Oint_62,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_62) ).

cnf(clsarity_nat_12,axiom,
    class_Nat_Opower(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_12) ).

cnf(clsarity_IntDef__Oint_61,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_61) ).

cnf(clsarity_nat_44,axiom,
    class_Divides_Odiv(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_44) ).

cnf(clsarity_IntDef__Oint_60,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_60) ).

cnf(clsarity_IntDef__Oint_6,axiom,
    class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_6) ).

cnf(clsarity_nat_14,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_14) ).

cnf(clsarity_IntDef__Oint_59,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_59) ).

cnf(clsarity_nat_46,axiom,
    class_Numeral_Onumber(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_46) ).

cnf(clsarity_IntDef__Oint_58,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_58) ).

cnf(clsarity_IntDef__Oint_57,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_57) ).

cnf(clsarity_IntDef__Oint_56,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_56) ).

cnf(clsarity_nat_43,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_43) ).

cnf(clsarity_IntDef__Oint_55,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_55) ).

cnf(clsarity_IntDef__Oint_54,axiom,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_54) ).

cnf(clsarity_IntDef__Oint_53,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_53) ).

cnf(clsarity_IntDef__Oint_52,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_52) ).

cnf(clsarity_IntDef__Oint_51,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_51) ).

cnf(clsarity_IntDef__Oint_50,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_50) ).

cnf(clsarity_IntDef__Oint_5,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_5) ).

cnf(clsarity_nat_2,axiom,
    class_Orderings_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_2) ).

cnf(clsarity_IntDef__Oint_49,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_49) ).

cnf(clsarity_IntDef__Oint_48,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_48) ).

cnf(clsarity_IntDef__Oint_47,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_47) ).

cnf(clsarity_IntDef__Oint_46,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_46) ).

cnf(clsarity_IntDef__Oint_45,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_45) ).

cnf(clsarity_nat_42,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_42) ).

cnf(clsarity_IntDef__Oint_44,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_44) ).

cnf(clsarity_nat_41,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_41) ).

cnf(clsarity_IntDef__Oint_43,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_43) ).

cnf(clsarity_nat_40,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_40) ).

cnf(clsarity_IntDef__Oint_42,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_42) ).

cnf(clsarity_nat_39,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_39) ).

cnf(clsarity_IntDef__Oint_41,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_41) ).

cnf(clsarity_nat_38,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_38) ).

cnf(clsarity_IntDef__Oint_40,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_40) ).

cnf(clsarity_nat_37,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_37) ).

cnf(clsarity_IntDef__Oint_4,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_4) ).

cnf(clsarity_nat_1,axiom,
    class_HOL_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_1) ).

cnf(clsarity_IntDef__Oint_39,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_39) ).

cnf(clsarity_nat_36,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_36) ).

cnf(clsarity_IntDef__Oint_38,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_38) ).

cnf(clsarity_nat_35,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_35) ).

cnf(clsarity_IntDef__Oint_37,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_37) ).

cnf(clsarity_nat_34,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_34) ).

cnf(clsarity_IntDef__Oint_36,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_36) ).

cnf(clsarity_nat_33,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_33) ).

cnf(clsarity_IntDef__Oint_35,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_35) ).

cnf(clsarity_nat_7,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_7) ).

cnf(clsarity_IntDef__Oint_34,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_34) ).

cnf(clsarity_nat_6,axiom,
    class_LOrder_Olorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_6) ).

cnf(clsarity_IntDef__Oint_33,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_33) ).

cnf(clsarity_nat_5,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_5) ).

cnf(clsarity_IntDef__Oint_32,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_32) ).

cnf(clsarity_nat_4,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_4) ).

cnf(clsarity_IntDef__Oint_30,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_30) ).

cnf(clsarity_IntDef__Oint_3,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_3) ).

cnf(clsarity_nat_11,axiom,
    class_HOL_Otimes(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_11) ).

cnf(clsarity_IntDef__Oint_29,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_29) ).

cnf(clsarity_nat_32,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_32) ).

cnf(clsarity_IntDef__Oint_28,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_28) ).

cnf(clsarity_IntDef__Oint_27,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_27) ).

cnf(clsarity_nat_30,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_30) ).

cnf(clsarity_IntDef__Oint_26,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_26) ).

cnf(clsarity_nat_26,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_26) ).

cnf(clsarity_IntDef__Oint_25,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_25) ).

cnf(clsarity_nat_25,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_25) ).

cnf(clsarity_IntDef__Oint_24,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_24) ).

cnf(clsarity_nat_24,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_24) ).

cnf(clsarity_IntDef__Oint_23,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_23) ).

cnf(clsarity_nat_23,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_23) ).

cnf(clsarity_IntDef__Oint_22,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_22) ).

cnf(clsarity_nat_13,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_13) ).

cnf(clsarity_IntDef__Oint_21,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_21) ).

cnf(clsarity_IntDef__Oint_20,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_20) ).

cnf(clsarity_nat_31,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_31) ).

cnf(clsarity_IntDef__Oint_2,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_2) ).

cnf(clsarity_nat_10,axiom,
    class_HOL_Oplus(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_10) ).

cnf(clsarity_IntDef__Oint_19,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_19) ).

cnf(clsarity_IntDef__Oint_18,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_18) ).

cnf(clsarity_nat_29,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_29) ).

cnf(clsarity_IntDef__Oint_17,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_17) ).

cnf(clsarity_IntDef__Oint_16,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_16) ).

cnf(clsarity_nat_28,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_28) ).

cnf(clsarity_IntDef__Oint_15,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_15) ).

cnf(clsarity_nat_27,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_27) ).

cnf(clsarity_IntDef__Oint_14,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_14) ).

cnf(clsarity_nat_22,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_22) ).

cnf(clsarity_IntDef__Oint_13,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_13) ).

cnf(clsarity_nat_21,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_21) ).

cnf(clsarity_IntDef__Oint_12,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_12) ).

cnf(clsarity_nat_20,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_20) ).

cnf(clsarity_IntDef__Oint_11,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_11) ).

cnf(clsarity_nat_19,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_19) ).

cnf(clsarity_IntDef__Oint_10,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_10) ).

cnf(clsarity_nat_18,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_18) ).

cnf(clsarity_IntDef__Oint_1,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_1) ).

cnf(clsarity_nat_0,axiom,
    class_HOL_Oone(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_0) ).

cnf(clsarity_IntDef__Oint_0,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_0) ).

cnf(clsarity_nat_9,axiom,
    class_HOL_Ominus(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_9) ).

cnf(clsarity_bool_0,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_bool_0) ).

cnf(clsarity_Product____Type__Ounit_0,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_Product____Type__Ounit_0) ).

cnf(clsarity_IntDef__Oint_31,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_31) ).

cnf(clsarity_nat_3,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_3) ).

cnf(cls_Message_Oagent_Odistinct__4__iff1_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4__iff1_0) ).

cnf(cls_Message_Oagent_Odistinct__3__iff1_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3__iff1_0) ).

cnf(cls_Numeral_Obit_Odistinct__2__iff1_0,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Numeral_Obit_Odistinct__2__iff1_0) ).

cnf(cls_Numeral_Obit_Odistinct__1__iff1_0,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Numeral_Obit_Odistinct__1__iff1_0) ).

cnf(cls_Extraction_Osumbool_Odistinct__2__iff1_0,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).

cnf(cls_Extraction_Osumbool_Odistinct__1__iff1_0,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).

cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,
    c_UNIV != c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUNIV__not__empty__iff1_0) ).

cnf(i_0_1380,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),X6,X4),X3,tc_prod(X6,X4))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    cls_Relation_Orel__compE_1,
    [final] ).

cnf(i_0_1381,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    cls_Relation_Orel__compE_0,
    [final] ).

cnf(i_0_1382,axiom,
    ( X1 = c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5)
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    cls_Relation_Orel__compE_2,
    [final] ).

cnf(i_0_1383,axiom,
    ( X1 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdprodE_0,
    [final] ).

cnf(i_0_1384,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdprodE_1,
    [final] ).

cnf(i_0_1385,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdprodE_2,
    [final] ).

cnf(i_0_1386,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__1(X2,X1,X4,X5),c_Main_OdsumE__2(X2,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | c_in(c_Pair(c_Main_OdsumE__3(X3,X1,X4,X5),c_Main_OdsumE__4(X3,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdsumE_3,
    [final] ).

cnf(i_0_1387,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__1(X2,X1,X4,X5),c_Main_OdsumE__2(X2,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X3,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X3,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdsumE_2,
    [final] ).

cnf(i_0_1388,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__3(X3,X1,X4,X5),c_Main_OdsumE__4(X3,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdsumE_1,
    [final] ).

cnf(i_0_1389,axiom,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
    cls_List_Olistrel__Cons2_1,
    [final] ).

cnf(i_0_1390,axiom,
    ( c_in(c_Pair(X2,c_Main_Olistrel__Cons1__2(X5,X4,X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_Olistrel__Cons1_1,
    [final] ).

cnf(i_0_1391,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OScons(X6,X1,X3,X4),c_Datatype__Universe_OScons(X7,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X8,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X6,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    cls_Datatype__Universe_OdprodI_0,
    [final] ).

cnf(i_0_1392,axiom,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X1,X2,X3,X4),X2,X4,X4),X5,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
    cls_List_Olistrel__Cons2_2,
    [final] ).

cnf(i_0_1393,axiom,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X5,X4,X1,X2,X3),X3,X3),X5,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_Olistrel__Cons1_2,
    [final] ).

cnf(i_0_1394,axiom,
    ( X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X3,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X3,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    cls_Datatype__Universe_OdsumE_0,
    [final] ).

cnf(i_0_1395,axiom,
    ( c_in(c_Pair(c_Main_OImageE__1(X3,X1,X2,X4,X5),X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    cls_Relation_OImageE_1,
    [final] ).

cnf(i_0_1396,axiom,
    ( X4 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X4,X1,X2,X3),c_Main_Olistrel__Cons1__2(X5,X4,X1,X2,X3),X3)
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_Olistrel__Cons1_0,
    [final] ).

cnf(i_0_1397,axiom,
    ( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X5,X1,X2,X3,X4),X4)
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
    cls_List_Olistrel__Cons2_0,
    [final] ).

cnf(i_0_1398,axiom,
    ( X1 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OuprodE_0,
    [final] ).

cnf(i_0_1399,axiom,
    ( c_in(c_Pair(X6,X2,X7,X4),c_Relation_Orel__comp(X5,X8,X3,X4,X7),tc_prod(X7,X4))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X6,X1,X7,X3),X8,tc_prod(X7,X3)) ),
    cls_Relation_Orel__compI_0,
    [final] ).

cnf(i_0_1400,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_OIn1(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X6,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    cls_Datatype__Universe_Odsum__In1I_0,
    [final] ).

cnf(i_0_1401,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X3,X4),c_Datatype__Universe_OIn0(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X5,X6,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    cls_Datatype__Universe_Odsum__In0I_0,
    [final] ).

cnf(i_0_1402,axiom,
    ( c_in(c_Main_OuprodE__2(X2,X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OuprodE_1,
    [final] ).

cnf(i_0_1403,axiom,
    ( c_in(c_Main_OuprodE__1(X2,X3,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OuprodE_2,
    [final] ).

cnf(i_0_1404,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    cls_Relation_OImageE_0,
    [final] ).

cnf(i_0_1405,axiom,
    ( c_in(c_Pair(c_Main_OconverseE__1(X2,X1,X3,X4),c_Main_OconverseE__2(X2,X1,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    cls_Relation_OconverseE_0,
    [final] ).

cnf(i_0_1406,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1,
    [final] ).

cnf(i_0_1407,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Wellfounded__Recursion_Owf__insert__iff1_1,
    [final] ).

cnf(i_0_1408,axiom,
    ( c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OusumE_3,
    [final] ).

cnf(i_0_1409,axiom,
    ( c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OusumE_2,
    [final] ).

cnf(i_0_1410,axiom,
    ( c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OusumE_1,
    [final] ).

cnf(i_0_1411,axiom,
    ( X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)
    | X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    cls_Datatype__Universe_OusumE_0,
    [final] ).

cnf(i_0_1412,axiom,
    ( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)
    | X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    cls_Sum__Type_OPlusE_0,
    [final] ).

cnf(i_0_1413,axiom,
    ( c_in(c_Main_OPlusE__1(X2,X1,X4,X5),X2,X4)
    | X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    cls_Sum__Type_OPlusE_2,
    [final] ).

cnf(i_0_1414,axiom,
    ( c_in(c_Main_OPlusE__2(X3,X1,X5,X4),X3,X5)
    | X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    cls_Sum__Type_OPlusE_1,
    [final] ).

cnf(i_0_1415,axiom,
    ( c_in(c_Main_OPlusE__1(X2,X1,X4,X5),X2,X4)
    | c_in(c_Main_OPlusE__2(X3,X1,X5,X4),X3,X5)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    cls_Sum__Type_OPlusE_3,
    [final] ).

cnf(i_0_1416,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X4,X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0,
    [final] ).

cnf(i_0_1417,axiom,
    ( c_Wellfounded__Recursion_Owf(X4,X3)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    cls_Wellfounded__Recursion_Owf__insert__iff1_0,
    [final] ).

cnf(i_0_1418,axiom,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
    cls_Relation_ORangeE_0,
    [final] ).

cnf(i_0_1419,axiom,
    ( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    cls_Relation_ODomainE_0,
    [final] ).

cnf(i_0_1420,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0,
    [final] ).

cnf(i_0_1421,axiom,
    ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    cls_Wellfounded__Recursion_Owf__insert__iff2_0,
    [final] ).

cnf(i_0_1422,axiom,
    ( c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5) ),
    cls_Relation_OImage__singleton__iff__iff1_0,
    [final] ).

cnf(i_0_1423,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    cls_GCD_Ogcd__greatest__iff__iff1_0,
    [final] ).

cnf(i_0_1424,axiom,
    ( c_Divides_Oop_Advd(X1,X3,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    cls_GCD_Ogcd__greatest__iff__iff1_1,
    [final] ).

cnf(i_0_1425,axiom,
    ( c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    cls_Relation_OImage__singleton__iff__iff2_0,
    [final] ).

cnf(i_0_1426,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)) ),
    cls_Relation_Oconverse__iff__iff1_0,
    [final] ).

cnf(i_0_1427,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    cls_Relation_Oconverse__iff__iff2_0,
    [final] ).

cnf(i_0_1428,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Otrancl__into__rtrancl_0,
    [final] ).

cnf(i_0_1429,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    cls_Relation_OImageI_0,
    [final] ).

cnf(i_0_1430,axiom,
    ( X1 = c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3)
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    cls_Relation_OconverseE_1,
    [final] ).

cnf(i_0_1431,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Otrancl_Or__into__trancl_0,
    [final] ).

cnf(i_0_1432,axiom,
    ( c_in(c_Datatype__Universe_OScons(X5,X1,X3,X4),c_Datatype__Universe_Ouprod(X6,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X5,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    cls_Datatype__Universe_OuprodI_0,
    [final] ).

cnf(i_0_1433,axiom,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    cls_GCD_Ogcd__greatest__iff__iff2_0,
    [final] ).

cnf(i_0_1434,axiom,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    cls_Relation_ODomainI_0,
    [final] ).

cnf(i_0_1435,axiom,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    cls_Relation_ORangeI_0,
    [final] ).

cnf(i_0_1436,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat),
    cls_GCD_Ogcd__dvd1_0,
    [final] ).

cnf(i_0_1437,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X2,tc_nat),
    cls_GCD_Ogcd__dvd2_0,
    [final] ).

cnf(i_0_1438,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    cls_List_Olistrel__Nil1_0,
    [final] ).

cnf(i_0_1439,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    cls_List_Olistrel__Nil2_0,
    [final] ).

cnf(i_0_1440,axiom,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    cls_List_ONil__notin__lex__iff1_0,
    [final] ).

cnf(i_0_1441,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    cls_List_ONil2__notin__lex__iff1_0,
    [final] ).

cnf(i_0_1442,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    cls_Wellfounded__Relations_Oless__than__iff__iff1_0,
    [final] ).

cnf(i_0_1443,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    cls_Relation_Opair__in__Id__conv__iff1_0,
    [final] ).

cnf(i_0_1444,axiom,
    ( c_in(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    cls_Datatype__Universe_Ousum__In1I_0,
    [final] ).

cnf(i_0_1445,axiom,
    ( c_in(c_Datatype__Universe_OIn0(X1,X3,X4),c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    cls_Datatype__Universe_Ousum__In0I_0,
    [final] ).

cnf(i_0_1446,axiom,
    ( c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    cls_Finite__Set_Ofinite__Diff__insert__iff1_0,
    [final] ).

cnf(i_0_1447,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Product__Type_OPair__eq__iff1_0,
    [final] ).

cnf(i_0_1448,axiom,
    ( X1 = X5
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    cls_Datatype__Universe_OScons__Scons__eq__iff1_0,
    [final] ).

cnf(i_0_1449,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Product__Type_OPair__eq__iff1_1,
    [final] ).

cnf(i_0_1450,axiom,
    ( X2 = X6
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    cls_Datatype__Universe_OScons__Scons__eq__iff1_1,
    [final] ).

cnf(i_0_1451,axiom,
    ( c_in(c_Sum__Type_OInr(X1,X3,X4),c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
    | ~ c_in(X1,X2,X3) ),
    cls_Sum__Type_OInrI_0,
    [final] ).

cnf(i_0_1452,axiom,
    ( c_in(c_Sum__Type_OInl(X1,X3,X4),c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4))
    | ~ c_in(X1,X2,X3) ),
    cls_Sum__Type_OInlI_0,
    [final] ).

cnf(i_0_1453,axiom,
    ( c_in(c_Pair(X1,X1,X3,X3),c_Relation_Odiag(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3) ),
    cls_Relation_OdiagI_0,
    [final] ).

cnf(i_0_1454,axiom,
    ( c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__Diff__insert__iff2_0,
    [final] ).

cnf(i_0_1455,axiom,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Wellfounded__Relations_Oless__than__iff__iff2_0,
    [final] ).

cnf(i_0_1456,axiom,
    ( X1 = c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3)
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    cls_Relation_OdiagE_0,
    [final] ).

cnf(i_0_1457,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,
    [final] ).

cnf(i_0_1458,axiom,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))
    | ~ c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Otrans(X3,X4) ),
    cls_Wellfounded__Relations_Otrans__lex__prod_0,
    [final] ).

cnf(i_0_1459,axiom,
    ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_Wellfounded__Recursion_Owf(X3,X4) ),
    cls_Wellfounded__Relations_Owf__lex__prod_0,
    [final] ).

cnf(i_0_1460,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    cls_Relation_OIdI_0,
    [final] ).

cnf(i_0_1461,axiom,
    ( X1 = X4
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    cls_List_Oappend1__eq__conv__iff1_0,
    [final] ).

cnf(i_0_1462,axiom,
    ( X2 = X5
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    cls_List_Oappend1__eq__conv__iff1_1,
    [final] ).

cnf(i_0_1463,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OAtom(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Atom__iff1_0,
    [final] ).

cnf(i_0_1464,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_ONumb(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Numb__iff1_0,
    [final] ).

cnf(i_0_1465,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OLeaf(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Leaf__iff1_0,
    [final] ).

cnf(i_0_1466,axiom,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_OAtom__not__Scons__iff1_0,
    [final] ).

cnf(i_0_1467,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_ONumb__not__Scons__iff1_0,
    [final] ).

cnf(i_0_1468,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,
    [final] ).

cnf(i_0_1469,axiom,
    ( c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    cls_List_Oappend__in__lists__conv__iff2_0,
    [final] ).

cnf(i_0_1470,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    cls_Finite__Set_Ofinite__converse__iff1_0,
    [final] ).

cnf(i_0_1471,axiom,
    c_List_Orev(c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    cls_List_Orev__eq__Cons__iff__iff2_0,
    [final] ).

cnf(i_0_1472,axiom,
    ( X1 = c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
    cls_Relation_OIdE_0,
    [final] ).

cnf(i_0_1473,axiom,
    ( c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    cls_List_Olists_OCons_0,
    [final] ).

cnf(i_0_1474,axiom,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    cls_Finite__Set_Ofinite__converse__iff2_0,
    [final] ).

cnf(i_0_1475,axiom,
    ( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    cls_List_Oappend__in__lists__conv__iff1_0,
    [final] ).

cnf(i_0_1476,axiom,
    ( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    cls_List_Oappend__in__lists__conv__iff1_1,
    [final] ).

cnf(i_0_1477,axiom,
    ( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    cls_List_OlistsE_0,
    [final] ).

cnf(i_0_1478,axiom,
    ( c_insert(X2,c_emptyset,X3) = c_insert(X2,X1,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    cls_Set_Osingleton__insert__inj__eq__iff2_0,
    [final] ).

cnf(i_0_1479,axiom,
    ( c_insert(X2,X1,X3) = c_insert(X2,c_emptyset,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    cls_Set_Osingleton__insert__inj__eq_H__iff2_0,
    [final] ).

cnf(i_0_1480,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    cls_Set_OUnE_0,
    [final] ).

cnf(i_0_1481,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    cls_Set_ODiffE_0,
    [final] ).

cnf(i_0_1482,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    cls_List_OlistsE_1,
    [final] ).

cnf(i_0_1483,axiom,
    ( c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Un__iff2_0,
    [final] ).

cnf(i_0_1484,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Oadd__gr__0__iff1_0,
    [final] ).

cnf(i_0_1485,axiom,
    ( c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3))
    | ~ c_in(c_Main_Oin__listsI__1(X1,X2,X3),X1,X3) ),
    cls_List_Oin__listsI_1,
    [final] ).

cnf(i_0_1486,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
    cls_Set_OInterI_1,
    [final] ).

cnf(i_0_1487,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    cls_Set_OIntI_0,
    [final] ).

cnf(i_0_1488,axiom,
    ( c_lessequals(X4,c_insert(X1,c_emptyset,X2),tc_set(X2))
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    cls_Set_Osingleton__insert__inj__eq__iff1_1,
    [final] ).

cnf(i_0_1489,axiom,
    ( c_lessequals(X2,c_insert(X4,c_emptyset,X3),tc_set(X3))
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    cls_Set_Osingleton__insert__inj__eq_H__iff1_1,
    [final] ).

cnf(i_0_1490,axiom,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Union_1,
    [final] ).

cnf(i_0_1491,axiom,
    ( c_in(c_Main_OdiagE__1(X2,X1,X3),X2,X3)
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    cls_Relation_OdiagE_1,
    [final] ).

cnf(i_0_1492,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    cls_Set_ODiffE_1,
    [final] ).

cnf(i_0_1493,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__Un__iff1_0,
    [final] ).

cnf(i_0_1494,axiom,
    ( c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__Un__iff1_1,
    [final] ).

cnf(i_0_1495,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
    cls_List_Oin__listsD__dest_0,
    [final] ).

cnf(i_0_1496,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_ODiffI_0,
    [final] ).

cnf(i_0_1497,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    cls_Set_OsubsetI_1,
    [final] ).

cnf(i_0_1498,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0,
    [final] ).

cnf(i_0_1499,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OIntE_1,
    [final] ).

cnf(i_0_1500,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OIntE_0,
    [final] ).

cnf(i_0_1501,axiom,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    cls_Set_OUnionE_0,
    [final] ).

cnf(i_0_1502,axiom,
    ( X1 = c_append(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    cls_List_Orev__eq__Cons__iff__iff1_0,
    [final] ).

cnf(i_0_1503,axiom,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    cls_Set_OUnionE_1,
    [final] ).

cnf(i_0_1504,axiom,
    ( c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    cls_Finite__Set_Ofinite__Union_0,
    [final] ).

cnf(i_0_1505,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Inter(X2,X3),X3) ),
    cls_Set_OInterD_0,
    [final] ).

cnf(i_0_1506,axiom,
    ( c_lessequals(X3,X1,tc_set(X2))
    | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
    cls_Set_OCompl__subset__Compl__iff__iff1_0,
    [final] ).

cnf(i_0_1507,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(c_Main_Oin__listsI__1(X2,X1,X3),c_List_Oset(X1,X3),X3) ),
    cls_List_Oin__listsI_0,
    [final] ).

cnf(i_0_1508,axiom,
    ( c_in(X1,c_Union(X4,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    cls_Set_OUnionI_0,
    [final] ).

cnf(i_0_1509,axiom,
    ( c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Int_0,
    [final] ).

cnf(i_0_1510,axiom,
    ( c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Int_1,
    [final] ).

cnf(i_0_1511,axiom,
    ( c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_OFinites_OinsertI_0,
    [final] ).

cnf(i_0_1512,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    cls_Set_OsingletonD__dest_0,
    [final] ).

cnf(i_0_1513,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    cls_Set_OInterI_0,
    [final] ).

cnf(i_0_1514,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_1,
    [final] ).

cnf(i_0_1515,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_0,
    [final] ).

cnf(i_0_1516,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OinsertCI_0,
    [final] ).

cnf(i_0_1517,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
    cls_Nat_Onot__add__less1__iff1_0,
    [final] ).

cnf(i_0_1518,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    cls_Nat_Onot__add__less2__iff1_0,
    [final] ).

cnf(i_0_1519,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OlessThan__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1520,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OatMost__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1521,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OgreaterThan__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1522,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OatLeast__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1523,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    cls_Set_OsubsetD_0,
    [final] ).

cnf(i_0_1524,axiom,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Nat_Oadd__gr__0__iff2_0,
    [final] ).

cnf(i_0_1525,axiom,
    ( c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Nat_Oadd__gr__0__iff2_1,
    [final] ).

cnf(i_0_1526,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Or__into__rtrancl_0,
    [final] ).

cnf(i_0_1527,axiom,
    ( c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OCompl__subset__Compl__iff__iff2_0,
    [final] ).

cnf(i_0_1528,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    cls_Set_OComplD__dest_0,
    [final] ).

cnf(i_0_1529,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0,
    [final] ).

cnf(i_0_1530,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    cls_Finite__Set_Ofinite__Pow__iff__iff1_0,
    [final] ).

cnf(i_0_1531,axiom,
    ( c_lessequals(c_SetInterval_OgreaterThan(X3,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OgreaterThan__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1532,axiom,
    ( c_lessequals(c_SetInterval_OatLeast(X3,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeast__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1533,axiom,
    ( c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OlessThan__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1534,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1535,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0,
    [final] ).

cnf(i_0_1536,axiom,
    ( X3 = X4
    | ~ c_Infinite__Set_Oatmost__one(X1,X2)
    | ~ c_in(X3,X1,X2)
    | ~ c_in(X4,X1,X2) ),
    cls_Infinite__Set_Oatmost__one__unique_0,
    [final] ).

cnf(i_0_1537,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    cls_Set_OPow__iff__iff1_0,
    [final] ).

cnf(i_0_1538,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_Osubset__antisym_0,
    [final] ).

cnf(i_0_1539,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_Oparts_OFst_0,
    [final] ).

cnf(i_0_1540,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_Oparts_OBody_0,
    [final] ).

cnf(i_0_1541,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_Oparts_OSnd_0,
    [final] ).

cnf(i_0_1542,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_OpsubsetE_0,
    [final] ).

cnf(i_0_1543,axiom,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Pow__iff__iff2_0,
    [final] ).

cnf(i_0_1544,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    cls_SetInterval_OlessThan__iff__iff1_0,
    [final] ).

cnf(i_0_1545,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X3,X1),X1) ),
    cls_SetInterval_OgreaterThan__iff__iff1_0,
    [final] ).

cnf(i_0_1546,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    cls_SetInterval_OatMost__iff__iff1_0,
    [final] ).

cnf(i_0_1547,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    cls_SetInterval_OatLeast__iff__iff1_0,
    [final] ).

cnf(i_0_1548,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OPow__iff__iff2_0,
    [final] ).

cnf(i_0_1549,axiom,
    c_lessequals(c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat),
    cls_List_Olength__remdups__leq_0,
    [final] ).

cnf(i_0_1550,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OlessThan__iff__iff2_0,
    [final] ).

cnf(i_0_1551,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__iff__iff2_0,
    [final] ).

cnf(i_0_1552,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThan(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OgreaterThan__iff__iff2_0,
    [final] ).

cnf(i_0_1553,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeast__iff__iff2_0,
    [final] ).

cnf(i_0_1554,axiom,
    ( X1 = X4
    | c_append(X1,X2,X3) != c_append(X4,X2,X3) ),
    cls_List_Oappend__same__eq__iff1_0,
    [final] ).

cnf(i_0_1555,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
    cls_Datatype__Universe_OAtom__Atom__eq__iff1_0,
    [final] ).

cnf(i_0_1556,axiom,
    ( X1 = X4
    | c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInr(X4,X2,X3) ),
    cls_Sum__Type_OInr__eq__iff1_0,
    [final] ).

cnf(i_0_1557,axiom,
    ( X1 = X4
    | c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInl(X4,X2,X3) ),
    cls_Sum__Type_OInl__eq__iff1_0,
    [final] ).

cnf(i_0_1558,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_List_Olist_Oinject__iff1_0,
    [final] ).

cnf(i_0_1559,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3) ),
    cls_Datatype__Universe_OIn1__eq__iff1_0,
    [final] ).

cnf(i_0_1560,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3) ),
    cls_Datatype__Universe_OIn0__eq__iff1_0,
    [final] ).

cnf(i_0_1561,axiom,
    ( X1 = X4
    | c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
    cls_Datatype__Universe_ONumb__inject__dest_0,
    [final] ).

cnf(i_0_1562,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
    cls_Datatype__Universe_OLeaf__inject__dest_0,
    [final] ).

cnf(i_0_1563,axiom,
    ( X2 = X4
    | c_append(X1,X2,X3) != c_append(X1,X4,X3) ),
    cls_List_Osame__append__eq__iff1_0,
    [final] ).

cnf(i_0_1564,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_List_Olist_Oinject__iff1_1,
    [final] ).

cnf(i_0_1565,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    cls_IntDiv_Ozminus__dvd__iff__iff1_0,
    [final] ).

cnf(i_0_1566,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Odvd__zminus__iff__iff1_0,
    [final] ).

cnf(i_0_1567,axiom,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    cls_Sum__Type_OInr__not__Inl__iff1_0,
    [final] ).

cnf(i_0_1568,axiom,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    cls_Sum__Type_OInl__not__Inr__iff1_0,
    [final] ).

cnf(i_0_1569,axiom,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    cls_Datatype__Universe_OIn1__not__In0__iff1_0,
    [final] ).

cnf(i_0_1570,axiom,
    c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3),
    cls_Datatype__Universe_OIn0__not__In1__iff1_0,
    [final] ).

cnf(i_0_1571,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
    cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,
    [final] ).

cnf(i_0_1572,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
    cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,
    [final] ).

cnf(i_0_1573,axiom,
    ( X3 = X1
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    cls_Set_Osingleton__insert__inj__eq__iff1_0,
    [final] ).

cnf(i_0_1574,axiom,
    ( X1 = X4
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    cls_Set_Osingleton__insert__inj__eq_H__iff1_0,
    [final] ).

cnf(i_0_1575,axiom,
    ( X1 = X3
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,c_emptyset,X2) ),
    cls_Set_Osingleton__inject__dest_0,
    [final] ).

cnf(i_0_1576,axiom,
    ( X1 = c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
    cls_IntDiv_Ozmod__eq__0D__dest_0,
    [final] ).

cnf(i_0_1577,axiom,
    ( X1 = c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat)
    | c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
    cls_Divides_Omod__eq__0D__dest_0,
    [final] ).

cnf(i_0_1578,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    cls_Set_OinsertCI_1,
    [final] ).

cnf(i_0_1579,axiom,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    cls_IntDiv_Ozminus__dvd__iff__iff2_0,
    [final] ).

cnf(i_0_1580,axiom,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    cls_IntDiv_Odvd__zminus__iff__iff2_0,
    [final] ).

cnf(i_0_1581,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    cls_SetInterval_Ofinite__greaterThanLessThan__int_0,
    [final] ).

cnf(i_0_1582,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_SetInterval_Ofinite__greaterThanLessThan_0,
    [final] ).

cnf(i_0_1583,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    cls_SetInterval_Ofinite__greaterThanAtMost__int_0,
    [final] ).

cnf(i_0_1584,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_SetInterval_Ofinite__greaterThanAtMost_0,
    [final] ).

cnf(i_0_1585,axiom,
    c_in(c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    cls_SetInterval_Ofinite__atLeastLessThan__int_0,
    [final] ).

cnf(i_0_1586,axiom,
    c_in(c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_SetInterval_Ofinite__atLeastLessThan_0,
    [final] ).

cnf(i_0_1587,axiom,
    c_in(c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    cls_SetInterval_Ofinite__atLeastAtMost__int_0,
    [final] ).

cnf(i_0_1588,axiom,
    c_in(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_SetInterval_Ofinite__atLeastAtMost_0,
    [final] ).

cnf(i_0_1589,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OpsubsetI_0,
    [final] ).

cnf(i_0_1590,axiom,
    c_in(X1,c_insert(X1,c_emptyset,X2),X2),
    cls_Set_OsingletonI_0,
    [final] ).

cnf(i_0_1591,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__triv__left_0,
    [final] ).

cnf(i_0_1592,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_nat),tc_nat),
    cls_Divides_Odvd__triv__left_0,
    [final] ).

cnf(i_0_1593,axiom,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__triv__right_0,
    [final] ).

cnf(i_0_1594,axiom,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_nat),tc_nat),
    cls_Divides_Odvd__triv__right_0,
    [final] ).

cnf(i_0_1595,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    cls_Set_OpsubsetE_1,
    [final] ).

cnf(i_0_1596,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Nat_OSuc__less__eq__iff1_0,
    [final] ).

cnf(i_0_1597,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Nat_OSuc__le__mono__iff1_0,
    [final] ).

cnf(i_0_1598,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Nat_OSuc__less__eq__iff2_0,
    [final] ).

cnf(i_0_1599,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_OSuc__le__mono__iff2_0,
    [final] ).

cnf(i_0_1600,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    cls_Set_OComplI_0,
    [final] ).

cnf(i_0_1601,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0,
    [final] ).

cnf(i_0_1602,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oparts_OInj_0,
    [final] ).

cnf(i_0_1603,axiom,
    ( X2 = c_Datatype_Ooption_OSome(X1,X3)
    | ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
    cls_Datatype_Oelem__o2s__iff1_0,
    [final] ).

cnf(i_0_1604,axiom,
    ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
    cls_List_Olength__greater__0__conv__iff1_0,
    [final] ).

cnf(i_0_1605,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    cls_Datatype_Oelem__o2s__iff2_0,
    [final] ).

cnf(i_0_1606,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    cls_List_Olength__remdups__eq__iff1_0,
    [final] ).

cnf(i_0_1607,axiom,
    c_less(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    cls_IntDef_Onegative__zless_0,
    [final] ).

cnf(i_0_1608,axiom,
    c_lessequals(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    cls_IntDef_Onegative__zle_0,
    [final] ).

cnf(i_0_1609,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X2,X1) ),
    cls_Orderings_Oorder__less__irrefl__iff1_0,
    [final] ).

cnf(i_0_1610,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    cls_Set_Onot__psubset__empty__iff1_0,
    [final] ).

cnf(i_0_1611,axiom,
    ( c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil ),
    cls_List_Olength__greater__0__conv__iff2_0,
    [final] ).

cnf(i_0_1612,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    cls_Nat_Oless__Suc0__iff1_0,
    [final] ).

cnf(i_0_1613,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    cls_List_Oappend__self__conv2__iff1_0,
    [final] ).

cnf(i_0_1614,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X1 ),
    cls_List_Oappend__self__conv__iff1_0,
    [final] ).

cnf(i_0_1615,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X1,X2,X3) ),
    cls_List_Oself__append__conv__iff1_0,
    [final] ).

cnf(i_0_1616,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X2,X1,X3) ),
    cls_List_Oself__append__conv2__iff1_0,
    [final] ).

cnf(i_0_1617,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Oappend__is__Nil__conv__iff1_0,
    [final] ).

cnf(i_0_1618,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    cls_Set_OUn__empty__iff1_0,
    [final] ).

cnf(i_0_1619,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    cls_Equiv__Relations_Oquotient__is__empty__iff1_0,
    [final] ).

cnf(i_0_1620,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Oappend__is__Nil__conv__iff1_1,
    [final] ).

cnf(i_0_1621,axiom,
    ( X2 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    cls_Set_OUn__empty__iff1_1,
    [final] ).

cnf(i_0_1622,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    cls_List_ONil__is__append__conv__iff1_0,
    [final] ).

cnf(i_0_1623,axiom,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    cls_Equiv__Relations_Oquotient__is__empty2__iff1_0,
    [final] ).

cnf(i_0_1624,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    cls_List_ONil__is__append__conv__iff1_1,
    [final] ).

cnf(i_0_1625,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    cls_conjecture_3,
    [final] ).

cnf(i_0_1626,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_Infinite__Set_Onat__not__finite_0,
    [final] ).

cnf(i_0_1627,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil,
    cls_List_Olist_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_1628,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    cls_List_Olist_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_1629,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Oadd__is__0__iff1_0,
    [final] ).

cnf(i_0_1630,axiom,
    ( X2 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Oadd__is__0__iff1_1,
    [final] ).

cnf(i_0_1631,axiom,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    cls_List_Ofinite__set_0,
    [final] ).

cnf(i_0_1632,axiom,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    cls_List_Olists_ONil_0,
    [final] ).

cnf(i_0_1633,axiom,
    ~ c_in(X1,c_emptyset,X2),
    cls_Set_OemptyE_0,
    [final] ).

cnf(i_0_1634,axiom,
    ~ c_less(X1,X1,tc_nat),
    cls_Nat_Oless__irrefl_0,
    [final] ).

cnf(i_0_1635,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDiv_Ozdvd__0__left__iff1_0,
    [final] ).

cnf(i_0_1636,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    cls_Divides_Odvd__0__left__iff__iff1_0,
    [final] ).

cnf(i_0_1637,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    cls_Nat_Oless__one__iff1_0,
    [final] ).

cnf(i_0_1638,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    cls_Nat_Ole__0__eq__iff1_0,
    [final] ).

cnf(i_0_1639,axiom,
    ~ c_less(X1,c_0,tc_nat),
    cls_Nat_Onot__less0__iff1_0,
    [final] ).

cnf(i_0_1640,axiom,
    c_in(c_SetInterval_OlessThan(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_SetInterval_Ofinite__lessThan_0,
    [final] ).

cnf(i_0_1641,axiom,
    c_in(c_SetInterval_OatMost(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_SetInterval_Ofinite__atMost_0,
    [final] ).

cnf(i_0_1642,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    cls_Nat_Oneq0__conv__iff2_0,
    [final] ).

cnf(i_0_1643,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg),
    cls_conjecture_2,
    [final] ).

cnf(i_0_1644,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_G),tc_Message_Omsg),
    cls_conjecture_1,
    [final] ).

cnf(i_0_1645,axiom,
    ( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    cls_List_Owf__lex_0,
    [final] ).

cnf(i_0_1646,axiom,
    ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    cls_List_Owf__lenlex_0,
    [final] ).

cnf(i_0_1647,axiom,
    ( X1 = X3
    | c_uminus(X1,tc_set(X2)) != c_uminus(X3,tc_set(X2)) ),
    cls_Set_OCompl__eq__Compl__iff__iff1_0,
    [final] ).

cnf(i_0_1648,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_Orderings_Oorder__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_1649,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    cls_Set_Osubset__refl_0,
    [final] ).

cnf(i_0_1650,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    cls_Set_Oempty__subsetI_0,
    [final] ).

cnf(i_0_1651,axiom,
    c_less(X1,c_Suc(X1),tc_nat),
    cls_Nat_OlessI_0,
    [final] ).

cnf(i_0_1652,axiom,
    c_less(c_0,c_Suc(X1),tc_nat),
    cls_Nat_Ozero__less__Suc_0,
    [final] ).

cnf(i_0_1653,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    cls_Finite__Set_OFinites_OemptyI_0,
    [final] ).

cnf(i_0_1654,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
    cls_Divides_Odvd__1__left_0,
    [final] ).

cnf(i_0_1655,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    cls_Nat_Oless__Suc0__iff2_0,
    [final] ).

cnf(i_0_1656,negated_conjecture,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    cls_conjecture_0,
    [final] ).

cnf(i_0_1657,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    cls_List_Oappend__self__conv2__iff2_0,
    [final] ).

cnf(i_0_1658,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    cls_List_Oappend__self__conv__iff2_0,
    [final] ).

cnf(i_0_1659,axiom,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    cls_List_Oself__append__conv2__iff2_0,
    [final] ).

cnf(i_0_1660,axiom,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    cls_List_Oself__append__conv__iff2_0,
    [final] ).

cnf(i_0_1661,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OgreaterThan(X2,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
    cls_SetInterval_OgreaterThan__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1662,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatLeast(X2,X1) != c_SetInterval_OatLeast(X3,X1) ),
    cls_SetInterval_OatLeast__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1663,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OlessThan(X2,X1) != c_SetInterval_OlessThan(X3,X1) ),
    cls_SetInterval_OlessThan__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1664,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatMost(X2,X1) != c_SetInterval_OatMost(X3,X1) ),
    cls_SetInterval_OatMost__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1665,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    cls_Nat_Oneq0__conv__iff1_0,
    [final] ).

cnf(i_0_1666,axiom,
    c_in(X1,c_UNIV,X2),
    cls_Set_OUNIV__I_0,
    [final] ).

cnf(i_0_1667,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    cls_Equiv__Relations_Oquotient__is__empty__iff2_0,
    [final] ).

cnf(i_0_1668,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X1,X2),
    cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,
    [final] ).

cnf(i_0_1669,axiom,
    c_lessequals(c_0,X1,tc_nat),
    cls_Nat_Ole0_0,
    [final] ).

cnf(i_0_1670,axiom,
    c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__1__left_0,
    [final] ).

cnf(i_0_1671,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__0__right_0,
    [final] ).

cnf(i_0_1672,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_nat),
    cls_Divides_Odvd__0__right_0,
    [final] ).

cnf(i_0_1673,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Oappend__is__Nil__conv__iff2_0,
    [final] ).

cnf(i_0_1674,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    cls_Set_OUn__empty__iff2_0,
    [final] ).

cnf(i_0_1675,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1),
    cls_List_ONil__is__append__conv__iff2_0,
    [final] ).

cnf(i_0_1676,axiom,
    c_less(c_0,c_1,tc_nat),
    cls_Nat_Oless__one__iff2_0,
    [final] ).

cnf(i_0_1677,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    cls_Nat_Ole__0__eq__iff2_0,
    [final] ).

cnf(i_0_1678,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__0__left__iff2_0,
    [final] ).

cnf(i_0_1679,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    cls_Divides_Odvd__0__left__iff__iff2_0,
    [final] ).

cnf(i_0_1680,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    cls_Nat_Oadd__is__0__iff2_0,
    [final] ).

cnf(i_0_1681,axiom,
    ( X1 = X3
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    cls_Message_Omsg_Oinject__7__iff1_0,
    [final] ).

cnf(i_0_1682,axiom,
    ( X1 = X3
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    cls_Message_Omsg_Oinject__6__iff1_0,
    [final] ).

cnf(i_0_1683,axiom,
    ( X1 = X3
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    cls_List_Ochar_Oinject__iff1_0,
    [final] ).

cnf(i_0_1684,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    cls_List_Orev__is__rev__conv__iff1_0,
    [final] ).

cnf(i_0_1685,axiom,
    ( X1 = X3
    | c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
    cls_Datatype_Ooption_Oinject__iff1_0,
    [final] ).

cnf(i_0_1686,axiom,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    cls_Message_Omsg_Oinject__7__iff1_1,
    [final] ).

cnf(i_0_1687,axiom,
    ( X2 = X4
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    cls_Message_Omsg_Oinject__6__iff1_1,
    [final] ).

cnf(i_0_1688,axiom,
    ( X2 = X4
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    cls_List_Ochar_Oinject__iff1_1,
    [final] ).

cnf(i_0_1689,axiom,
    ( class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_fun_0,
    [final] ).

cnf(i_0_1690,axiom,
    ( class_Finite__Set_Ofinite(tc_sum(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_sum_0,
    [final] ).

cnf(i_0_1691,axiom,
    ( class_Finite__Set_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_prod_0,
    [final] ).

cnf(i_0_1692,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) ),
    cls_Datatype_Onot__Some__eq__iff1_0,
    [final] ).

cnf(i_0_1693,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) ),
    cls_Datatype_Onot__None__eq__iff1_0,
    [final] ).

cnf(i_0_1694,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    cls_List_Odistinct__remdups_0,
    [final] ).

cnf(i_0_1695,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    cls_List_Olength__0__conv__iff1_0,
    [final] ).

cnf(i_0_1696,axiom,
    class_Nat_Opower(tc_fun(X1,X2)),
    clsarity_fun_1,
    [final] ).

cnf(i_0_1697,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    cls_List_Orev__is__Nil__conv__iff1_0,
    [final] ).

cnf(i_0_1698,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    cls_List_Oset__empty__iff1_0,
    [final] ).

cnf(i_0_1699,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    cls_List_ONil__is__rev__conv__iff1_0,
    [final] ).

cnf(i_0_1700,axiom,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    cls_List_Oset__empty2__iff1_0,
    [final] ).

cnf(i_0_1701,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    cls_Datatype_Ooption_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_1702,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    cls_Datatype_Ooption_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_1703,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    cls_List_Olength__0__conv__iff2_0,
    [final] ).

cnf(i_0_1704,axiom,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_Datatype__Ooption_0,
    [final] ).

cnf(i_0_1705,axiom,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_set_3,
    [final] ).

cnf(i_0_1706,axiom,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    cls_Message_Omsg_Oinject__5__iff1_0,
    [final] ).

cnf(i_0_1707,axiom,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    cls_Message_Omsg_Oinject__4__iff1_0,
    [final] ).

cnf(i_0_1708,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    cls_Message_Omsg_Oinject__3__iff1_0,
    [final] ).

cnf(i_0_1709,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    cls_Message_Omsg_Oinject__2__iff1_0,
    [final] ).

cnf(i_0_1710,axiom,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    cls_Message_Omsg_Oinject__1__iff1_0,
    [final] ).

cnf(i_0_1711,axiom,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    cls_Message_Oagent_Oinject__iff1_0,
    [final] ).

cnf(i_0_1712,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    cls_IntDef_Oint__int__eq__iff1_0,
    [final] ).

cnf(i_0_1713,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Nat_OSuc__Suc__eq__iff1_0,
    [final] ).

cnf(i_0_1714,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,X1),
    cls_Wellfounded__Recursion_Owf__empty_0,
    [final] ).

cnf(i_0_1715,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Orev__is__Nil__conv__iff2_0,
    [final] ).

cnf(i_0_1716,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    cls_List_Oset__empty__iff2_0,
    [final] ).

cnf(i_0_1717,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
    cls_List_ONil__is__rev__conv__iff2_0,
    [final] ).

cnf(i_0_1718,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    cls_List_Oset__empty2__iff2_0,
    [final] ).

cnf(i_0_1719,axiom,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_0,
    [final] ).

cnf(i_0_1720,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_1,
    [final] ).

cnf(i_0_1721,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_30,
    [final] ).

cnf(i_0_1722,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    clsrel_Ring__and__Field_Odivision__by__zero_1,
    [final] ).

cnf(i_0_1723,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_7,
    [final] ).

cnf(i_0_1724,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_20,
    [final] ).

cnf(i_0_1725,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_17,
    [final] ).

cnf(i_0_1726,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_9,
    [final] ).

cnf(i_0_1727,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_5,
    [final] ).

cnf(i_0_1728,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_17,
    [final] ).

cnf(i_0_1729,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_17,
    [final] ).

cnf(i_0_1730,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_11,
    [final] ).

cnf(i_0_1731,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2,
    [final] ).

cnf(i_0_1732,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3,
    [final] ).

cnf(i_0_1733,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_2,
    [final] ).

cnf(i_0_1734,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_7,
    [final] ).

cnf(i_0_1735,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4,
    [final] ).

cnf(i_0_1736,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_5,
    [final] ).

cnf(i_0_1737,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_1,
    [final] ).

cnf(i_0_1738,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_2,
    [final] ).

cnf(i_0_1739,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2,
    [final] ).

cnf(i_0_1740,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_1,
    [final] ).

cnf(i_0_1741,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_3,
    [final] ).

cnf(i_0_1742,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_11,
    [final] ).

cnf(i_0_1743,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_24,
    [final] ).

cnf(i_0_1744,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_21,
    [final] ).

cnf(i_0_1745,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__mult_0,
    [final] ).

cnf(i_0_1746,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_8,
    [final] ).

cnf(i_0_1747,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_4,
    [final] ).

cnf(i_0_1748,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_21,
    [final] ).

cnf(i_0_1749,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_21,
    [final] ).

cnf(i_0_1750,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_15,
    [final] ).

cnf(i_0_1751,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_8,
    [final] ).

cnf(i_0_1752,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_15,
    [final] ).

cnf(i_0_1753,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_8,
    [final] ).

cnf(i_0_1754,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5,
    [final] ).

cnf(i_0_1755,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6,
    [final] ).

cnf(i_0_1756,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_5,
    [final] ).

cnf(i_0_1757,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_2,
    [final] ).

cnf(i_0_1758,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_3,
    [final] ).

cnf(i_0_1759,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_2,
    [final] ).

cnf(i_0_1760,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_11,
    [final] ).

cnf(i_0_1761,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16,
    [final] ).

cnf(i_0_1762,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_8,
    [final] ).

cnf(i_0_1763,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_11,
    [final] ).

cnf(i_0_1764,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_8,
    [final] ).

cnf(i_0_1765,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_5,
    [final] ).

cnf(i_0_1766,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_2,
    [final] ).

cnf(i_0_1767,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_1,
    [final] ).

cnf(i_0_1768,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_5,
    [final] ).

cnf(i_0_1769,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5,
    [final] ).

cnf(i_0_1770,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_4,
    [final] ).

cnf(i_0_1771,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_2,
    [final] ).

cnf(i_0_1772,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_6,
    [final] ).

cnf(i_0_1773,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_4,
    [final] ).

cnf(i_0_1774,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_4,
    [final] ).

cnf(i_0_1775,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_3,
    [final] ).

cnf(i_0_1776,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_16,
    [final] ).

cnf(i_0_1777,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_27,
    [final] ).

cnf(i_0_1778,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_26,
    [final] ).

cnf(i_0_1779,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_6,
    [final] ).

cnf(i_0_1780,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_2,
    [final] ).

cnf(i_0_1781,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_26,
    [final] ).

cnf(i_0_1782,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_26,
    [final] ).

cnf(i_0_1783,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_20,
    [final] ).

cnf(i_0_1784,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_11,
    [final] ).

cnf(i_0_1785,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_20,
    [final] ).

cnf(i_0_1786,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_11,
    [final] ).

cnf(i_0_1787,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_11,
    [final] ).

cnf(i_0_1788,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_10,
    [final] ).

cnf(i_0_1789,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_11,
    [final] ).

cnf(i_0_1790,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_11,
    [final] ).

cnf(i_0_1791,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_5,
    [final] ).

cnf(i_0_1792,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8,
    [final] ).

cnf(i_0_1793,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11,
    [final] ).

cnf(i_0_1794,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_8,
    [final] ).

cnf(i_0_1795,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_5,
    [final] ).

cnf(i_0_1796,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_8,
    [final] ).

cnf(i_0_1797,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_5,
    [final] ).

cnf(i_0_1798,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5,
    [final] ).

cnf(i_0_1799,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5,
    [final] ).

cnf(i_0_1800,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3,
    [final] ).

cnf(i_0_1801,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_2,
    [final] ).

cnf(i_0_1802,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_16,
    [final] ).

cnf(i_0_1803,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11,
    [final] ).

cnf(i_0_1804,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_11,
    [final] ).

cnf(i_0_1805,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_6,
    [final] ).

cnf(i_0_1806,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_11,
    [final] ).

cnf(i_0_1807,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_8,
    [final] ).

cnf(i_0_1808,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_8,
    [final] ).

cnf(i_0_1809,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8,
    [final] ).

cnf(i_0_1810,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_1,
    [final] ).

cnf(i_0_1811,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_5,
    [final] ).

cnf(i_0_1812,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_3,
    [final] ).

cnf(i_0_1813,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0,
    [final] ).

cnf(i_0_1814,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_3,
    [final] ).

cnf(i_0_1815,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_1,
    [final] ).

cnf(i_0_1816,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_1,
    [final] ).

cnf(i_0_1817,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_0,
    [final] ).

cnf(i_0_1818,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_0,
    [final] ).

cnf(i_0_1819,axiom,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_0,
    [final] ).

cnf(i_0_1820,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_18,
    [final] ).

cnf(i_0_1821,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_29,
    [final] ).

cnf(i_0_1822,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_28,
    [final] ).

cnf(i_0_1823,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__add_0,
    [final] ).

cnf(i_0_1824,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_5,
    [final] ).

cnf(i_0_1825,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_1,
    [final] ).

cnf(i_0_1826,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_28,
    [final] ).

cnf(i_0_1827,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_28,
    [final] ).

cnf(i_0_1828,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_22,
    [final] ).

cnf(i_0_1829,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_12,
    [final] ).

cnf(i_0_1830,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_22,
    [final] ).

cnf(i_0_1831,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_13,
    [final] ).

cnf(i_0_1832,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_13,
    [final] ).

cnf(i_0_1833,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_12,
    [final] ).

cnf(i_0_1834,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_12,
    [final] ).

cnf(i_0_1835,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_13,
    [final] ).

cnf(i_0_1836,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_7,
    [final] ).

cnf(i_0_1837,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9,
    [final] ).

cnf(i_0_1838,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12,
    [final] ).

cnf(i_0_1839,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_9,
    [final] ).

cnf(i_0_1840,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_6,
    [final] ).

cnf(i_0_1841,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_9,
    [final] ).

cnf(i_0_1842,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_6,
    [final] ).

cnf(i_0_1843,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7,
    [final] ).

cnf(i_0_1844,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7,
    [final] ).

cnf(i_0_1845,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4,
    [final] ).

cnf(i_0_1846,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_3,
    [final] ).

cnf(i_0_1847,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_18,
    [final] ).

cnf(i_0_1848,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12,
    [final] ).

cnf(i_0_1849,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_12,
    [final] ).

cnf(i_0_1850,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_7,
    [final] ).

cnf(i_0_1851,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_12,
    [final] ).

cnf(i_0_1852,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_9,
    [final] ).

cnf(i_0_1853,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_9,
    [final] ).

cnf(i_0_1854,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9,
    [final] ).

cnf(i_0_1855,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_2,
    [final] ).

cnf(i_0_1856,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_6,
    [final] ).

cnf(i_0_1857,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_4,
    [final] ).

cnf(i_0_1858,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1,
    [final] ).

cnf(i_0_1859,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__semigroup__add_0,
    [final] ).

cnf(i_0_1860,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_4,
    [final] ).

cnf(i_0_1861,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_2,
    [final] ).

cnf(i_0_1862,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_2,
    [final] ).

cnf(i_0_1863,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_1,
    [final] ).

cnf(i_0_1864,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_1,
    [final] ).

cnf(i_0_1865,axiom,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_30,
    [final] ).

cnf(i_0_1866,axiom,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_34,
    [final] ).

cnf(i_0_1867,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_2,
    [final] ).

cnf(i_0_1868,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_31,
    [final] ).

cnf(i_0_1869,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_57,
    [final] ).

cnf(i_0_1870,axiom,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_60,
    [final] ).

cnf(i_0_1871,axiom,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_55,
    [final] ).

cnf(i_0_1872,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_38,
    [final] ).

cnf(i_0_1873,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_47,
    [final] ).

cnf(i_0_1874,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_31,
    [final] ).

cnf(i_0_1875,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_32,
    [final] ).

cnf(i_0_1876,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_56,
    [final] ).

cnf(i_0_1877,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_30,
    [final] ).

cnf(i_0_1878,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_36,
    [final] ).

cnf(i_0_1879,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_43,
    [final] ).

cnf(i_0_1880,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_48,
    [final] ).

cnf(i_0_1881,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_31,
    [final] ).

cnf(i_0_1882,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_49,
    [final] ).

cnf(i_0_1883,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_52,
    [final] ).

cnf(i_0_1884,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_35,
    [final] ).

cnf(i_0_1885,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_30,
    [final] ).

cnf(i_0_1886,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_48,
    [final] ).

cnf(i_0_1887,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_51,
    [final] ).

cnf(i_0_1888,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_34,
    [final] ).

cnf(i_0_1889,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_29,
    [final] ).

cnf(i_0_1890,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_47,
    [final] ).

cnf(i_0_1891,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_50,
    [final] ).

cnf(i_0_1892,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_33,
    [final] ).

cnf(i_0_1893,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_24,
    [final] ).

cnf(i_0_1894,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_24,
    [final] ).

cnf(i_0_1895,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_59,
    [final] ).

cnf(i_0_1896,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_0,
    [final] ).

cnf(i_0_1897,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_45,
    [final] ).

cnf(i_0_1898,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_39,
    [final] ).

cnf(i_0_1899,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_27,
    [final] ).

cnf(i_0_1900,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_11,
    [final] ).

cnf(i_0_1901,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_9,
    [final] ).

cnf(i_0_1902,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_9,
    [final] ).

cnf(i_0_1903,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_18,
    [final] ).

cnf(i_0_1904,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_18,
    [final] ).

cnf(i_0_1905,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_9,
    [final] ).

cnf(i_0_1906,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_11,
    [final] ).

cnf(i_0_1907,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    clsrel_Ring__and__Field_Oaxclass__abs__if_1,
    [final] ).

cnf(i_0_1908,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21,
    [final] ).

cnf(i_0_1909,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15,
    [final] ).

cnf(i_0_1910,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_14,
    [final] ).

cnf(i_0_1911,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_18,
    [final] ).

cnf(i_0_1912,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_12,
    [final] ).

cnf(i_0_1913,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_11,
    [final] ).

cnf(i_0_1914,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3,
    [final] ).

cnf(i_0_1915,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3,
    [final] ).

cnf(i_0_1916,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2,
    [final] ).

cnf(i_0_1917,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_1,
    [final] ).

cnf(i_0_1918,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_3,
    [final] ).

cnf(i_0_1919,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_1,
    [final] ).

cnf(i_0_1920,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_0,
    [final] ).

cnf(i_0_1921,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    clsrel_LOrder_Omeet__semilorder_0,
    [final] ).

cnf(i_0_1922,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    clsrel_Orderings_Oorder_0,
    [final] ).

cnf(i_0_1923,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_44,
    [final] ).

cnf(i_0_1924,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_49,
    [final] ).

cnf(i_0_1925,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_32,
    [final] ).

cnf(i_0_1926,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_0,
    [final] ).

cnf(i_0_1927,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_50,
    [final] ).

cnf(i_0_1928,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_53,
    [final] ).

cnf(i_0_1929,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_29,
    [final] ).

cnf(i_0_1930,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_25,
    [final] ).

cnf(i_0_1931,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_16,
    [final] ).

cnf(i_0_1932,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_16,
    [final] ).

cnf(i_0_1933,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_0,
    [final] ).

cnf(i_0_1934,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_54,
    [final] ).

cnf(i_0_1935,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_54,
    [final] ).

cnf(i_0_1936,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_30,
    [final] ).

cnf(i_0_1937,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_2,
    [final] ).

cnf(i_0_1938,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_0,
    [final] ).

cnf(i_0_1939,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_0,
    [final] ).

cnf(i_0_1940,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_1,
    [final] ).

cnf(i_0_1941,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_19,
    [final] ).

cnf(i_0_1942,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_0,
    [final] ).

cnf(i_0_1943,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_42,
    [final] ).

cnf(i_0_1944,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_46,
    [final] ).

cnf(i_0_1945,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_28,
    [final] ).

cnf(i_0_1946,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_35,
    [final] ).

cnf(i_0_1947,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_30,
    [final] ).

cnf(i_0_1948,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_24,
    [final] ).

cnf(i_0_1949,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_36,
    [final] ).

cnf(i_0_1950,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_39,
    [final] ).

cnf(i_0_1951,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_33,
    [final] ).

cnf(i_0_1952,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28,
    [final] ).

cnf(i_0_1953,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_20,
    [final] ).

cnf(i_0_1954,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_37,
    [final] ).

cnf(i_0_1955,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_41,
    [final] ).

cnf(i_0_1956,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_35,
    [final] ).

cnf(i_0_1957,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29,
    [final] ).

cnf(i_0_1958,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0,
    [final] ).

cnf(i_0_1959,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_39,
    [final] ).

cnf(i_0_1960,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_31,
    [final] ).

cnf(i_0_1961,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_25,
    [final] ).

cnf(i_0_1962,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_15,
    [final] ).

cnf(i_0_1963,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24,
    [final] ).

cnf(i_0_1964,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_45,
    [final] ).

cnf(i_0_1965,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_40,
    [final] ).

cnf(i_0_1966,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_34,
    [final] ).

cnf(i_0_1967,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_23,
    [final] ).

cnf(i_0_1968,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_7,
    [final] ).

cnf(i_0_1969,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_22,
    [final] ).

cnf(i_0_1970,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25,
    [final] ).

cnf(i_0_1971,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19,
    [final] ).

cnf(i_0_1972,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_22,
    [final] ).

cnf(i_0_1973,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_21,
    [final] ).

cnf(i_0_1974,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_46,
    [final] ).

cnf(i_0_1975,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_42,
    [final] ).

cnf(i_0_1976,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_36,
    [final] ).

cnf(i_0_1977,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_24,
    [final] ).

cnf(i_0_1978,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_8,
    [final] ).

cnf(i_0_1979,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_15,
    [final] ).

cnf(i_0_1980,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27,
    [final] ).

cnf(i_0_1981,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18,
    [final] ).

cnf(i_0_1982,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_15,
    [final] ).

cnf(i_0_1983,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_23,
    [final] ).

cnf(i_0_1984,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_0,
    [final] ).

cnf(i_0_1985,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_14,
    [final] ).

cnf(i_0_1986,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_32,
    [final] ).

cnf(i_0_1987,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_24,
    [final] ).

cnf(i_0_1988,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    clsrel_Ring__and__Field_Odivision__by__zero_0,
    [final] ).

cnf(i_0_1989,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_1,
    [final] ).

cnf(i_0_1990,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_8,
    [final] ).

cnf(i_0_1991,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_24,
    [final] ).

cnf(i_0_1992,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_24,
    [final] ).

cnf(i_0_1993,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_18,
    [final] ).

cnf(i_0_1994,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_14,
    [final] ).

cnf(i_0_1995,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0,
    [final] ).

cnf(i_0_1996,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_18,
    [final] ).

cnf(i_0_1997,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_4,
    [final] ).

cnf(i_0_1998,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_4,
    [final] ).

cnf(i_0_1999,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_5,
    [final] ).

cnf(i_0_2000,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_14,
    [final] ).

cnf(i_0_2001,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_4,
    [final] ).

cnf(i_0_2002,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_3,
    [final] ).

cnf(i_0_2003,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    clsrel_Ring__and__Field_Oaxclass__abs__if_2,
    [final] ).

cnf(i_0_2004,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11,
    [final] ).

cnf(i_0_2005,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9,
    [final] ).

cnf(i_0_2006,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_11,
    [final] ).

cnf(i_0_2007,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_8,
    [final] ).

cnf(i_0_2008,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_6,
    [final] ).

cnf(i_0_2009,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_8,
    [final] ).

cnf(i_0_2010,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_14,
    [final] ).

cnf(i_0_2011,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10,
    [final] ).

cnf(i_0_2012,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_14,
    [final] ).

cnf(i_0_2013,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_5,
    [final] ).

cnf(i_0_2014,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_1,
    [final] ).

cnf(i_0_2015,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_1,
    [final] ).

cnf(i_0_2016,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    clsrel_Ring__and__Field_Oaxclass__0__neq__1_0,
    [final] ).

cnf(i_0_2017,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_11,
    [final] ).

cnf(i_0_2018,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11,
    [final] ).

cnf(i_0_2019,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_9,
    [final] ).

cnf(i_0_2020,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_8,
    [final] ).

cnf(i_0_2021,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_2,
    [final] ).

cnf(i_0_2022,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_9,
    [final] ).

cnf(i_0_2023,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_7,
    [final] ).

cnf(i_0_2024,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_0,
    [final] ).

cnf(i_0_2025,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_40,
    [final] ).

cnf(i_0_2026,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_32,
    [final] ).

cnf(i_0_2027,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_26,
    [final] ).

cnf(i_0_2028,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_16,
    [final] ).

cnf(i_0_2029,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12,
    [final] ).

cnf(i_0_2030,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_9,
    [final] ).

cnf(i_0_2031,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_55,
    [final] ).

cnf(i_0_2032,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_37,
    [final] ).

cnf(i_0_2033,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_31,
    [final] ).

cnf(i_0_2034,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_21,
    [final] ).

cnf(i_0_2035,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_5,
    [final] ).

cnf(i_0_2036,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_5,
    [final] ).

cnf(i_0_2037,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_5,
    [final] ).

cnf(i_0_2038,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_6,
    [final] ).

cnf(i_0_2039,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_20,
    [final] ).

cnf(i_0_2040,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_5,
    [final] ).

cnf(i_0_2041,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_12,
    [final] ).

cnf(i_0_2042,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17,
    [final] ).

cnf(i_0_2043,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_14,
    [final] ).

cnf(i_0_2044,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13,
    [final] ).

cnf(i_0_2045,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_56,
    [final] ).

cnf(i_0_2046,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_38,
    [final] ).

cnf(i_0_2047,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_32,
    [final] ).

cnf(i_0_2048,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_22,
    [final] ).

cnf(i_0_2049,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_6,
    [final] ).

cnf(i_0_2050,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_6,
    [final] ).

cnf(i_0_2051,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_6,
    [final] ).

cnf(i_0_2052,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_7,
    [final] ).

cnf(i_0_2053,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_21,
    [final] ).

cnf(i_0_2054,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_6,
    [final] ).

cnf(i_0_2055,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_13,
    [final] ).

cnf(i_0_2056,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18,
    [final] ).

cnf(i_0_2057,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_15,
    [final] ).

cnf(i_0_2058,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0,
    [final] ).

cnf(i_0_2059,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,
    [final] ).

cnf(i_0_2060,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_22,
    [final] ).

cnf(i_0_2061,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_57,
    [final] ).

cnf(i_0_2062,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_43,
    [final] ).

cnf(i_0_2063,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_37,
    [final] ).

cnf(i_0_2064,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_25,
    [final] ).

cnf(i_0_2065,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_9,
    [final] ).

cnf(i_0_2066,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_7,
    [final] ).

cnf(i_0_2067,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_7,
    [final] ).

cnf(i_0_2068,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_8,
    [final] ).

cnf(i_0_2069,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_16,
    [final] ).

cnf(i_0_2070,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_7,
    [final] ).

cnf(i_0_2071,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_9,
    [final] ).

cnf(i_0_2072,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19,
    [final] ).

cnf(i_0_2073,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10,
    [final] ).

cnf(i_0_2074,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_12,
    [final] ).

cnf(i_0_2075,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_16,
    [final] ).

cnf(i_0_2076,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_7,
    [final] ).

cnf(i_0_2077,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_9,
    [final] ).

cnf(i_0_2078,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1,
    [final] ).

cnf(i_0_2079,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1,
    [final] ).

cnf(i_0_2080,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0,
    [final] ).

cnf(i_0_2081,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_41,
    [final] ).

cnf(i_0_2082,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_5,
    [final] ).

cnf(i_0_2083,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_33,
    [final] ).

cnf(i_0_2084,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_27,
    [final] ).

cnf(i_0_2085,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_17,
    [final] ).

cnf(i_0_2086,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13,
    [final] ).

cnf(i_0_2087,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_10,
    [final] ).

cnf(i_0_2088,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9,
    [final] ).

cnf(i_0_2089,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_51,
    [final] ).

cnf(i_0_2090,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_4,
    [final] ).

cnf(i_0_2091,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_34,
    [final] ).

cnf(i_0_2092,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_28,
    [final] ).

cnf(i_0_2093,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_18,
    [final] ).

cnf(i_0_2094,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_26,
    [final] ).

cnf(i_0_2095,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_17,
    [final] ).

cnf(i_0_2096,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_17,
    [final] ).

cnf(i_0_2097,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_14,
    [final] ).

cnf(i_0_2098,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_15,
    [final] ).

cnf(i_0_2099,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14,
    [final] ).

cnf(i_0_2100,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_11,
    [final] ).

cnf(i_0_2101,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10,
    [final] ).

cnf(i_0_2102,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_0,
    [final] ).

cnf(i_0_2103,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_52,
    [final] ).

cnf(i_0_2104,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_3,
    [final] ).

cnf(i_0_2105,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_35,
    [final] ).

cnf(i_0_2106,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_29,
    [final] ).

cnf(i_0_2107,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_19,
    [final] ).

cnf(i_0_2108,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_27,
    [final] ).

cnf(i_0_2109,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_15,
    [final] ).

cnf(i_0_2110,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_18,
    [final] ).

cnf(i_0_2111,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_15,
    [final] ).

cnf(i_0_2112,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_16,
    [final] ).

cnf(i_0_2113,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15,
    [final] ).

cnf(i_0_2114,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_12,
    [final] ).

cnf(i_0_2115,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11,
    [final] ).

cnf(i_0_2116,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_1,
    [final] ).

cnf(i_0_2117,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_3,
    [final] ).

cnf(i_0_2118,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_53,
    [final] ).

cnf(i_0_2119,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_2,
    [final] ).

cnf(i_0_2120,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_36,
    [final] ).

cnf(i_0_2121,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_30,
    [final] ).

cnf(i_0_2122,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_20,
    [final] ).

cnf(i_0_2123,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_28,
    [final] ).

cnf(i_0_2124,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_18,
    [final] ).

cnf(i_0_2125,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_15,
    [final] ).

cnf(i_0_2126,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_16,
    [final] ).

cnf(i_0_2127,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_17,
    [final] ).

cnf(i_0_2128,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16,
    [final] ).

cnf(i_0_2129,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_13,
    [final] ).

cnf(i_0_2130,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12,
    [final] ).

cnf(i_0_2131,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_2,
    [final] ).

cnf(i_0_2132,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_0,
    [final] ).

cnf(i_0_2133,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_3,
    [final] ).

cnf(i_0_2134,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_0,
    [final] ).

cnf(i_0_2135,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_29,
    [final] ).

cnf(i_0_2136,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_0,
    [final] ).

cnf(i_0_2137,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_0,
    [final] ).

cnf(i_0_2138,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_12,
    [final] ).

cnf(i_0_2139,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_33,
    [final] ).

cnf(i_0_2140,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_22,
    [final] ).

cnf(i_0_2141,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__mult_1,
    [final] ).

cnf(i_0_2142,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    clsrel_OrderedGroup_Osemigroup__mult_0,
    [final] ).

cnf(i_0_2143,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_7,
    [final] ).

cnf(i_0_2144,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_3,
    [final] ).

cnf(i_0_2145,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_22,
    [final] ).

cnf(i_0_2146,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_22,
    [final] ).

cnf(i_0_2147,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_16,
    [final] ).

cnf(i_0_2148,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_9,
    [final] ).

cnf(i_0_2149,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1,
    [final] ).

cnf(i_0_2150,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_16,
    [final] ).

cnf(i_0_2151,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_9,
    [final] ).

cnf(i_0_2152,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6,
    [final] ).

cnf(i_0_2153,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7,
    [final] ).

cnf(i_0_2154,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_6,
    [final] ).

cnf(i_0_2155,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_3,
    [final] ).

cnf(i_0_2156,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_4,
    [final] ).

cnf(i_0_2157,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_3,
    [final] ).

cnf(i_0_2158,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_12,
    [final] ).

cnf(i_0_2159,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17,
    [final] ).

cnf(i_0_2160,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_9,
    [final] ).

cnf(i_0_2161,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_12,
    [final] ).

cnf(i_0_2162,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_9,
    [final] ).

cnf(i_0_2163,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_6,
    [final] ).

cnf(i_0_2164,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_3,
    [final] ).

cnf(i_0_2165,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_2,
    [final] ).

cnf(i_0_2166,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_6,
    [final] ).

cnf(i_0_2167,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6,
    [final] ).

cnf(i_0_2168,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_5,
    [final] ).

cnf(i_0_2169,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_3,
    [final] ).

cnf(i_0_2170,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_7,
    [final] ).

cnf(i_0_2171,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_5,
    [final] ).

cnf(i_0_2172,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_5,
    [final] ).

cnf(i_0_2173,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_4,
    [final] ).

cnf(i_0_2174,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_9,
    [final] ).

cnf(i_0_2175,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_6,
    [final] ).

cnf(i_0_2176,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_24,
    [final] ).

cnf(i_0_2177,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_28,
    [final] ).

cnf(i_0_2178,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_6,
    [final] ).

cnf(i_0_2179,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_6,
    [final] ).

cnf(i_0_2180,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_0,
    [final] ).

cnf(i_0_2181,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_28,
    [final] ).

cnf(i_0_2182,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_5,
    [final] ).

cnf(i_0_2183,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_2,
    [final] ).

cnf(i_0_2184,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_27,
    [final] ).

cnf(i_0_2185,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_2,
    [final] ).

cnf(i_0_2186,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_2,
    [final] ).

cnf(i_0_2187,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_26,
    [final] ).

cnf(i_0_2188,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_12,
    [final] ).

cnf(i_0_2189,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_9,
    [final] ).

cnf(i_0_2190,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_22,
    [final] ).

cnf(i_0_2191,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_26,
    [final] ).

cnf(i_0_2192,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_9,
    [final] ).

cnf(i_0_2193,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_9,
    [final] ).

cnf(i_0_2194,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_3,
    [final] ).

cnf(i_0_2195,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_27,
    [final] ).

cnf(i_0_2196,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20,
    [final] ).

cnf(i_0_2197,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_19,
    [final] ).

cnf(i_0_2198,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_10,
    [final] ).

cnf(i_0_2199,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_7,
    [final] ).

cnf(i_0_2200,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_18,
    [final] ).

cnf(i_0_2201,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_25,
    [final] ).

cnf(i_0_2202,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_7,
    [final] ).

cnf(i_0_2203,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_7,
    [final] ).

cnf(i_0_2204,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_1,
    [final] ).

cnf(i_0_2205,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_20,
    [final] ).

cnf(i_0_2206,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0,
    [final] ).

cnf(i_0_2207,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_13,
    [final] ).

cnf(i_0_2208,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_10,
    [final] ).

cnf(i_0_2209,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_17,
    [final] ).

cnf(i_0_2210,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_24,
    [final] ).

cnf(i_0_2211,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_10,
    [final] ).

cnf(i_0_2212,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_10,
    [final] ).

cnf(i_0_2213,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_4,
    [final] ).

cnf(i_0_2214,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_22,
    [final] ).

cnf(i_0_2215,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5,
    [final] ).

cnf(i_0_2216,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_15,
    [final] ).

cnf(i_0_2217,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_0,
    [final] ).

cnf(i_0_2218,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_16,
    [final] ).

cnf(i_0_2219,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_11,
    [final] ).

cnf(i_0_2220,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_8,
    [final] ).

cnf(i_0_2221,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_16,
    [final] ).

cnf(i_0_2222,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_23,
    [final] ).

cnf(i_0_2223,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_8,
    [final] ).

cnf(i_0_2224,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_8,
    [final] ).

cnf(i_0_2225,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_2,
    [final] ).

cnf(i_0_2226,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_21,
    [final] ).

cnf(i_0_2227,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3,
    [final] ).

cnf(i_0_2228,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_14,
    [final] ).

cnf(i_0_2229,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_15,
    [final] ).

cnf(i_0_2230,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_12,
    [final] ).

cnf(i_0_2231,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_15,
    [final] ).

cnf(i_0_2232,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_22,
    [final] ).

cnf(i_0_2233,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_12,
    [final] ).

cnf(i_0_2234,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_12,
    [final] ).

cnf(i_0_2235,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_6,
    [final] ).

cnf(i_0_2236,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_24,
    [final] ).

cnf(i_0_2237,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14,
    [final] ).

cnf(i_0_2238,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_17,
    [final] ).

cnf(i_0_2239,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_9,
    [final] ).

cnf(i_0_2240,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_15,
    [final] ).

cnf(i_0_2241,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_11,
    [final] ).

cnf(i_0_2242,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_4,
    [final] ).

cnf(i_0_2243,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_14,
    [final] ).

cnf(i_0_2244,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_11,
    [final] ).

cnf(i_0_2245,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_3,
    [final] ).

cnf(i_0_2246,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_21,
    [final] ).

cnf(i_0_2247,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_11,
    [final] ).

cnf(i_0_2248,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_11,
    [final] ).

cnf(i_0_2249,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_5,
    [final] ).

cnf(i_0_2250,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_23,
    [final] ).

cnf(i_0_2251,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6,
    [final] ).

cnf(i_0_2252,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_16,
    [final] ).

cnf(i_0_2253,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_1,
    [final] ).

cnf(i_0_2254,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_0,
    [final] ).

cnf(i_0_2255,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_0,
    [final] ).

cnf(i_0_2256,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_0,
    [final] ).

cnf(i_0_2257,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_4,
    [final] ).

cnf(i_0_2258,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_1,
    [final] ).

cnf(i_0_2259,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_19,
    [final] ).

cnf(i_0_2260,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_1,
    [final] ).

cnf(i_0_2261,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_1,
    [final] ).

cnf(i_0_2262,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_0,
    [final] ).

cnf(i_0_2263,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_4,
    [final] ).

cnf(i_0_2264,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_17,
    [final] ).

cnf(i_0_2265,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_14,
    [final] ).

cnf(i_0_2266,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_23,
    [final] ).

cnf(i_0_2267,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_18,
    [final] ).

cnf(i_0_2268,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_14,
    [final] ).

cnf(i_0_2269,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_14,
    [final] ).

cnf(i_0_2270,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_8,
    [final] ).

cnf(i_0_2271,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_4,
    [final] ).

cnf(i_0_2272,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22,
    [final] ).

cnf(i_0_2273,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_18,
    [final] ).

cnf(i_0_2274,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_19,
    [final] ).

cnf(i_0_2275,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_30,
    [final] ).

cnf(i_0_2276,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_29,
    [final] ).

cnf(i_0_2277,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__add_1,
    [final] ).

cnf(i_0_2278,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_4,
    [final] ).

cnf(i_0_2279,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_0,
    [final] ).

cnf(i_0_2280,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    clsrel_OrderedGroup_Osemigroup__add_0,
    [final] ).

cnf(i_0_2281,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_29,
    [final] ).

cnf(i_0_2282,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_29,
    [final] ).

cnf(i_0_2283,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_23,
    [final] ).

cnf(i_0_2284,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_13,
    [final] ).

cnf(i_0_2285,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_23,
    [final] ).

cnf(i_0_2286,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_14,
    [final] ).

cnf(i_0_2287,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_14,
    [final] ).

cnf(i_0_2288,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_13,
    [final] ).

cnf(i_0_2289,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_13,
    [final] ).

cnf(i_0_2290,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_14,
    [final] ).

cnf(i_0_2291,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_8,
    [final] ).

cnf(i_0_2292,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10,
    [final] ).

cnf(i_0_2293,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13,
    [final] ).

cnf(i_0_2294,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_10,
    [final] ).

cnf(i_0_2295,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_7,
    [final] ).

cnf(i_0_2296,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_10,
    [final] ).

cnf(i_0_2297,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_7,
    [final] ).

cnf(i_0_2298,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8,
    [final] ).

cnf(i_0_2299,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8,
    [final] ).

cnf(i_0_2300,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5,
    [final] ).

cnf(i_0_2301,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_4,
    [final] ).

cnf(i_0_2302,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_19,
    [final] ).

cnf(i_0_2303,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13,
    [final] ).

cnf(i_0_2304,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_13,
    [final] ).

cnf(i_0_2305,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_8,
    [final] ).

cnf(i_0_2306,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_13,
    [final] ).

cnf(i_0_2307,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_10,
    [final] ).

cnf(i_0_2308,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_10,
    [final] ).

cnf(i_0_2309,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10,
    [final] ).

cnf(i_0_2310,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_3,
    [final] ).

cnf(i_0_2311,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_7,
    [final] ).

cnf(i_0_2312,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_5,
    [final] ).

cnf(i_0_2313,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2,
    [final] ).

cnf(i_0_2314,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__semigroup__add_1,
    [final] ).

cnf(i_0_2315,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_5,
    [final] ).

cnf(i_0_2316,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_3,
    [final] ).

cnf(i_0_2317,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_3,
    [final] ).

cnf(i_0_2318,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_2,
    [final] ).

cnf(i_0_2319,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_2,
    [final] ).

cnf(i_0_2320,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_1,
    [final] ).

cnf(i_0_2321,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_6,
    [final] ).

cnf(i_0_2322,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_3,
    [final] ).

cnf(i_0_2323,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_17,
    [final] ).

cnf(i_0_2324,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_3,
    [final] ).

cnf(i_0_2325,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_3,
    [final] ).

cnf(i_0_2326,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_0,
    [final] ).

cnf(i_0_2327,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_1,
    [final] ).

cnf(i_0_2328,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_0,
    [final] ).

cnf(i_0_2329,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_1,
    [final] ).

cnf(i_0_2330,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_0,
    [final] ).

cnf(i_0_2331,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_16,
    [final] ).

cnf(i_0_2332,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_8,
    [final] ).

cnf(i_0_2333,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_21,
    [final] ).

cnf(i_0_2334,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_18,
    [final] ).

cnf(i_0_2335,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_21,
    [final] ).

cnf(i_0_2336,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_16,
    [final] ).

cnf(i_0_2337,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_18,
    [final] ).

cnf(i_0_2338,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_18,
    [final] ).

cnf(i_0_2339,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_12,
    [final] ).

cnf(i_0_2340,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_3,
    [final] ).

cnf(i_0_2341,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_12,
    [final] ).

cnf(i_0_2342,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_3,
    [final] ).

cnf(i_0_2343,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26,
    [final] ).

cnf(i_0_2344,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20,
    [final] ).

cnf(i_0_2345,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_21,
    [final] ).

cnf(i_0_2346,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_15,
    [final] ).

cnf(i_0_2347,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_8,
    [final] ).

cnf(i_0_2348,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21,
    [final] ).

cnf(i_0_2349,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_3,
    [final] ).

cnf(i_0_2350,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_15,
    [final] ).

cnf(i_0_2351,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_17,
    [final] ).

cnf(i_0_2352,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14,
    [final] ).

cnf(i_0_2353,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_12,
    [final] ).

cnf(i_0_2354,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_2,
    [final] ).

cnf(i_0_2355,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_7,
    [final] ).

cnf(i_0_2356,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_4,
    [final] ).

cnf(i_0_2357,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_15,
    [final] ).

cnf(i_0_2358,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_4,
    [final] ).

cnf(i_0_2359,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_4,
    [final] ).

cnf(i_0_2360,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_1,
    [final] ).

cnf(i_0_2361,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_3,
    [final] ).

cnf(i_0_2362,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_1,
    [final] ).

cnf(i_0_2363,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_1,
    [final] ).

cnf(i_0_2364,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_2,
    [final] ).

cnf(i_0_2365,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_1,
    [final] ).

cnf(i_0_2366,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_1,
    [final] ).

cnf(i_0_2367,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_0,
    [final] ).

cnf(i_0_2368,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_2,
    [final] ).

cnf(i_0_2369,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_1,
    [final] ).

cnf(i_0_2370,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_12,
    [final] ).

cnf(i_0_2371,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_6,
    [final] ).

cnf(i_0_2372,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_15,
    [final] ).

cnf(i_0_2373,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_26,
    [final] ).

cnf(i_0_2374,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_25,
    [final] ).

cnf(i_0_2375,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_20,
    [final] ).

cnf(i_0_2376,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_14,
    [final] ).

cnf(i_0_2377,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_25,
    [final] ).

cnf(i_0_2378,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_25,
    [final] ).

cnf(i_0_2379,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_19,
    [final] ).

cnf(i_0_2380,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_4,
    [final] ).

cnf(i_0_2381,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_19,
    [final] ).

cnf(i_0_2382,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_10,
    [final] ).

cnf(i_0_2383,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_10,
    [final] ).

cnf(i_0_2384,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_9,
    [final] ).

cnf(i_0_2385,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_4,
    [final] ).

cnf(i_0_2386,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_10,
    [final] ).

cnf(i_0_2387,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_4,
    [final] ).

cnf(i_0_2388,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22,
    [final] ).

cnf(i_0_2389,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16,
    [final] ).

cnf(i_0_2390,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_19,
    [final] ).

cnf(i_0_2391,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_13,
    [final] ).

cnf(i_0_2392,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4,
    [final] ).

cnf(i_0_2393,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4,
    [final] ).

cnf(i_0_2394,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6,
    [final] ).

cnf(i_0_2395,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_15,
    [final] ).

cnf(i_0_2396,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18,
    [final] ).

cnf(i_0_2397,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_4,
    [final] ).

cnf(i_0_2398,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_13,
    [final] ).

cnf(i_0_2399,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_14,
    [final] ).

cnf(i_0_2400,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12,
    [final] ).

cnf(i_0_2401,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_10,
    [final] ).

cnf(i_0_2402,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_9,
    [final] ).

cnf(i_0_2403,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_6,
    [final] ).

cnf(i_0_2404,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_17,
    [final] ).

cnf(i_0_2405,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_28,
    [final] ).

cnf(i_0_2406,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_27,
    [final] ).

cnf(i_0_2407,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_19,
    [final] ).

cnf(i_0_2408,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_13,
    [final] ).

cnf(i_0_2409,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_27,
    [final] ).

cnf(i_0_2410,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_27,
    [final] ).

cnf(i_0_2411,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_21,
    [final] ).

cnf(i_0_2412,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_5,
    [final] ).

cnf(i_0_2413,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_21,
    [final] ).

cnf(i_0_2414,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_12,
    [final] ).

cnf(i_0_2415,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_12,
    [final] ).

cnf(i_0_2416,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_11,
    [final] ).

cnf(i_0_2417,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_5,
    [final] ).

cnf(i_0_2418,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_12,
    [final] ).

cnf(i_0_2419,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_6,
    [final] ).

cnf(i_0_2420,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23,
    [final] ).

cnf(i_0_2421,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17,
    [final] ).

cnf(i_0_2422,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_20,
    [final] ).

cnf(i_0_2423,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_14,
    [final] ).

cnf(i_0_2424,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6,
    [final] ).

cnf(i_0_2425,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6,
    [final] ).

cnf(i_0_2426,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7,
    [final] ).

cnf(i_0_2427,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_17,
    [final] ).

cnf(i_0_2428,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19,
    [final] ).

cnf(i_0_2429,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_5,
    [final] ).

cnf(i_0_2430,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_14,
    [final] ).

cnf(i_0_2431,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_15,
    [final] ).

cnf(i_0_2432,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13,
    [final] ).

cnf(i_0_2433,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_11,
    [final] ).

cnf(i_0_2434,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_10,
    [final] ).

cnf(i_0_2435,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_7,
    [final] ).

cnf(i_0_2436,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3,
    [final] ).

cnf(i_0_2437,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_5,
    [final] ).

cnf(i_0_2438,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_18,
    [final] ).

cnf(i_0_2439,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_15,
    [final] ).

cnf(i_0_2440,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_14,
    [final] ).

cnf(i_0_2441,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_11,
    [final] ).

cnf(i_0_2442,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_15,
    [final] ).

cnf(i_0_2443,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_15,
    [final] ).

cnf(i_0_2444,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_9,
    [final] ).

cnf(i_0_2445,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0,
    [final] ).

cnf(i_0_2446,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1,
    [final] ).

cnf(i_0_2447,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_0,
    [final] ).

cnf(i_0_2448,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_5,
    [final] ).

cnf(i_0_2449,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1,
    [final] ).

cnf(i_0_2450,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_3,
    [final] ).

cnf(i_0_2451,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_0,
    [final] ).

cnf(i_0_2452,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0,
    [final] ).

cnf(i_0_2453,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_9,
    [final] ).

cnf(i_0_2454,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_22,
    [final] ).

cnf(i_0_2455,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_19,
    [final] ).

cnf(i_0_2456,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_13,
    [final] ).

cnf(i_0_2457,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_10,
    [final] ).

cnf(i_0_2458,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_19,
    [final] ).

cnf(i_0_2459,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_19,
    [final] ).

cnf(i_0_2460,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_13,
    [final] ).

cnf(i_0_2461,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_6,
    [final] ).

cnf(i_0_2462,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_13,
    [final] ).

cnf(i_0_2463,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_6,
    [final] ).

cnf(i_0_2464,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3,
    [final] ).

cnf(i_0_2465,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4,
    [final] ).

cnf(i_0_2466,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_3,
    [final] ).

cnf(i_0_2467,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_0,
    [final] ).

cnf(i_0_2468,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_1,
    [final] ).

cnf(i_0_2469,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_0,
    [final] ).

cnf(i_0_2470,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_9,
    [final] ).

cnf(i_0_2471,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7,
    [final] ).

cnf(i_0_2472,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_6,
    [final] ).

cnf(i_0_2473,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_2,
    [final] ).

cnf(i_0_2474,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_6,
    [final] ).

cnf(i_0_2475,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_3,
    [final] ).

cnf(i_0_2476,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_3,
    [final] ).

cnf(i_0_2477,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3,
    [final] ).

cnf(i_0_2478,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_13,
    [final] ).

cnf(i_0_2479,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_0,
    [final] ).

cnf(i_0_2480,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_10,
    [final] ).

cnf(i_0_2481,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_13,
    [final] ).

cnf(i_0_2482,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_25,
    [final] ).

cnf(i_0_2483,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_23,
    [final] ).

cnf(i_0_2484,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_12,
    [final] ).

cnf(i_0_2485,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_9,
    [final] ).

cnf(i_0_2486,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_23,
    [final] ).

cnf(i_0_2487,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_23,
    [final] ).

cnf(i_0_2488,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_17,
    [final] ).

cnf(i_0_2489,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_10,
    [final] ).

cnf(i_0_2490,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_17,
    [final] ).

cnf(i_0_2491,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_3,
    [final] ).

cnf(i_0_2492,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_3,
    [final] ).

cnf(i_0_2493,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_4,
    [final] ).

cnf(i_0_2494,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_10,
    [final] ).

cnf(i_0_2495,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_3,
    [final] ).

cnf(i_0_2496,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_2,
    [final] ).

cnf(i_0_2497,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7,
    [final] ).

cnf(i_0_2498,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8,
    [final] ).

cnf(i_0_2499,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_7,
    [final] ).

cnf(i_0_2500,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_4,
    [final] ).

cnf(i_0_2501,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_5,
    [final] ).

cnf(i_0_2502,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_4,
    [final] ).

cnf(i_0_2503,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_13,
    [final] ).

cnf(i_0_2504,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9,
    [final] ).

cnf(i_0_2505,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_10,
    [final] ).

cnf(i_0_2506,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_4,
    [final] ).

cnf(i_0_2507,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_10,
    [final] ).

cnf(i_0_2508,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_7,
    [final] ).

cnf(i_0_2509,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_7,
    [final] ).

cnf(i_0_2510,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7,
    [final] ).

cnf(i_0_2511,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_8,
    [final] ).

cnf(i_0_2512,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_4,
    [final] ).

cnf(i_0_2513,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_1,
    [final] ).

cnf(i_0_2514,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_8,
    [final] ).

cnf(i_0_2515,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_6,
    [final] ).

cnf(i_0_2516,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_6,
    [final] ).

cnf(i_0_2517,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_19,
    [final] ).

cnf(i_0_2518,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_16,
    [final] ).

cnf(i_0_2519,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_11,
    [final] ).

cnf(i_0_2520,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_7,
    [final] ).

cnf(i_0_2521,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_16,
    [final] ).

cnf(i_0_2522,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_16,
    [final] ).

cnf(i_0_2523,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_10,
    [final] ).

cnf(i_0_2524,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1,
    [final] ).

cnf(i_0_2525,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2,
    [final] ).

cnf(i_0_2526,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_1,
    [final] ).

cnf(i_0_2527,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_6,
    [final] ).

cnf(i_0_2528,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2,
    [final] ).

cnf(i_0_2529,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_4,
    [final] ).

cnf(i_0_2530,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_1,
    [final] ).

cnf(i_0_2531,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1,
    [final] ).

cnf(i_0_2532,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_0,
    [final] ).

cnf(i_0_2533,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_10,
    [final] ).

cnf(i_0_2534,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_23,
    [final] ).

cnf(i_0_2535,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_20,
    [final] ).

cnf(i_0_2536,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_10,
    [final] ).

cnf(i_0_2537,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_6,
    [final] ).

cnf(i_0_2538,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_20,
    [final] ).

cnf(i_0_2539,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_20,
    [final] ).

cnf(i_0_2540,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_14,
    [final] ).

cnf(i_0_2541,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_7,
    [final] ).

cnf(i_0_2542,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_14,
    [final] ).

cnf(i_0_2543,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_7,
    [final] ).

cnf(i_0_2544,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4,
    [final] ).

cnf(i_0_2545,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5,
    [final] ).

cnf(i_0_2546,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_4,
    [final] ).

cnf(i_0_2547,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_1,
    [final] ).

cnf(i_0_2548,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_2,
    [final] ).

cnf(i_0_2549,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_1,
    [final] ).

cnf(i_0_2550,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_10,
    [final] ).

cnf(i_0_2551,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8,
    [final] ).

cnf(i_0_2552,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_7,
    [final] ).

cnf(i_0_2553,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_3,
    [final] ).

cnf(i_0_2554,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_7,
    [final] ).

cnf(i_0_2555,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_4,
    [final] ).

cnf(i_0_2556,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_4,
    [final] ).

cnf(i_0_2557,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4,
    [final] ).

cnf(i_0_2558,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_0,
    [final] ).

cnf(i_0_2559,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__0__cancel_1,
    [final] ).

cnf(i_0_2560,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__0_2,
    [final] ).

cnf(i_0_2561,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_0,
    [final] ).

cnf(i_0_2562,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_6,
    [final] ).

cnf(i_0_2563,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_16,
    [final] ).

cnf(i_0_2564,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_13,
    [final] ).

cnf(i_0_2565,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_2,
    [final] ).

cnf(i_0_2566,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_20,
    [final] ).

cnf(i_0_2567,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_13,
    [final] ).

cnf(i_0_2568,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_13,
    [final] ).

cnf(i_0_2569,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_7,
    [final] ).

cnf(i_0_2570,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_25,
    [final] ).

cnf(i_0_2571,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15,
    [final] ).

cnf(i_0_2572,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_18,
    [final] ).

cnf(i_0_2573,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    clsrel_Ring__and__Field_Osemiring__1__cancel_10,
    [final] ).

cnf(i_0_2574,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring__1_2,
    [final] ).

cnf(i_0_2575,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_2,
    [final] ).

cnf(i_0_2576,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_0,
    [final] ).

cnf(i_0_2577,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_0,
    [final] ).

cnf(i_0_2578,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    clsrel_Ring__and__Field_Oaxclass__0__neq__1_1,
    [final] ).

cnf(i_0_2579,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_3,
    [final] ).

cnf(i_0_2580,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_8,
    [final] ).

cnf(i_0_2581,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_5,
    [final] ).

cnf(i_0_2582,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_12,
    [final] ).

cnf(i_0_2583,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_5,
    [final] ).

cnf(i_0_2584,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_5,
    [final] ).

cnf(i_0_2585,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_2,
    [final] ).

cnf(i_0_2586,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_4,
    [final] ).

cnf(i_0_2587,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_2,
    [final] ).

cnf(i_0_2588,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_2,
    [final] ).

cnf(i_0_2589,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_3,
    [final] ).

cnf(i_0_2590,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_2,
    [final] ).

cnf(i_0_2591,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_2,
    [final] ).

cnf(i_0_2592,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_1,
    [final] ).

cnf(i_0_2593,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    clsrel_Ring__and__Field_Oaxclass__abs__if_0,
    [final] ).

cnf(i_0_2594,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring__1_3,
    [final] ).

cnf(i_0_2595,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_2,
    [final] ).

cnf(i_0_2596,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_13,
    [final] ).

cnf(i_0_2597,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_7,
    [final] ).

cnf(i_0_2598,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_0,
    [final] ).

cnf(i_0_2599,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__ring_23,
    [final] ).

cnf(i_0_2600,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_58,
    [final] ).

cnf(i_0_2601,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_1,
    [final] ).

cnf(i_0_2602,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44,
    [final] ).

cnf(i_0_2603,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_38,
    [final] ).

cnf(i_0_2604,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__ring__strict_26,
    [final] ).

cnf(i_0_2605,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_10,
    [final] ).

cnf(i_0_2606,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_8,
    [final] ).

cnf(i_0_2607,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_8,
    [final] ).

cnf(i_0_2608,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_17,
    [final] ).

cnf(i_0_2609,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_17,
    [final] ).

cnf(i_0_2610,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_8,
    [final] ).

cnf(i_0_2611,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_10,
    [final] ).

cnf(i_0_2612,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20,
    [final] ).

cnf(i_0_2613,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14,
    [final] ).

cnf(i_0_2614,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__comm__semiring_13,
    [final] ).

cnf(i_0_2615,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    clsrel_Ring__and__Field_Oordered__semiring__strict_17,
    [final] ).

cnf(i_0_2616,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__cancel__semiring_11,
    [final] ).

cnf(i_0_2617,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_10,
    [final] ).

cnf(i_0_2618,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2,
    [final] ).

cnf(i_0_2619,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2,
    [final] ).

cnf(i_0_2620,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1,
    [final] ).

cnf(i_0_2621,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_0,
    [final] ).

cnf(i_0_2622,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_4,
    [final] ).

cnf(i_0_2623,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_2,
    [final] ).

cnf(i_0_2624,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_1,
    [final] ).

cnf(i_0_2625,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    clsrel_LOrder_Omeet__semilorder_1,
    [final] ).

cnf(i_0_2626,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    cls_Wellfounded__Relations_Otrans__less__than_0,
    [final] ).

cnf(i_0_2627,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    cls_Wellfounded__Relations_Owf__less__than_0,
    [final] ).

cnf(i_0_2628,axiom,
    class_Nat_Opower(tc_set(X1)),
    clsarity_set_4,
    [final] ).

cnf(i_0_2629,axiom,
    class_Orderings_Oord(tc_set(X1)),
    clsarity_set_1,
    [final] ).

cnf(i_0_2630,axiom,
    class_HOL_Ominus(tc_set(X1)),
    clsarity_set_0,
    [final] ).

cnf(i_0_2631,axiom,
    class_Orderings_Oorder(tc_set(X1)),
    clsarity_set_2,
    [final] ).

cnf(i_0_2632,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
    cls_Message_Oagent_Odistinct__5__iff1_0,
    [final] ).

cnf(i_0_2633,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
    cls_Message_Oagent_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_2634,axiom,
    c_Suc(X1) != c_0,
    cls_Nat_OSuc__not__Zero__iff1_0,
    [final] ).

cnf(i_0_2635,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
    cls_Message_Oagent_Odistinct__6__iff1_0,
    [final] ).

cnf(i_0_2636,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
    cls_Message_Oagent_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_2637,axiom,
    c_0 != c_Suc(X1),
    cls_Nat_OZero__not__Suc__iff1_0,
    [final] ).

cnf(i_0_2638,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    clsarity_nat_8,
    [final] ).

cnf(i_0_2639,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_9,
    [final] ).

cnf(i_0_2640,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    clsarity_nat_17,
    [final] ).

cnf(i_0_2641,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_8,
    [final] ).

cnf(i_0_2642,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    clsarity_nat_16,
    [final] ).

cnf(i_0_2643,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_7,
    [final] ).

cnf(i_0_2644,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    clsarity_nat_15,
    [final] ).

cnf(i_0_2645,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    clsarity_IntDef__Oint_64,
    [final] ).

cnf(i_0_2646,axiom,
    class_Parity_Oeven__odd(tc_nat),
    clsarity_nat_47,
    [final] ).

cnf(i_0_2647,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    clsarity_IntDef__Oint_63,
    [final] ).

cnf(i_0_2648,axiom,
    class_Power_Orecpower(tc_nat),
    clsarity_nat_45,
    [final] ).

cnf(i_0_2649,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    clsarity_IntDef__Oint_62,
    [final] ).

cnf(i_0_2650,axiom,
    class_Nat_Opower(tc_nat),
    clsarity_nat_12,
    [final] ).

cnf(i_0_2651,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    clsarity_IntDef__Oint_61,
    [final] ).

cnf(i_0_2652,axiom,
    class_Divides_Odiv(tc_nat),
    clsarity_nat_44,
    [final] ).

cnf(i_0_2653,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_60,
    [final] ).

cnf(i_0_2654,axiom,
    class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_6,
    [final] ).

cnf(i_0_2655,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    clsarity_nat_14,
    [final] ).

cnf(i_0_2656,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    clsarity_IntDef__Oint_59,
    [final] ).

cnf(i_0_2657,axiom,
    class_Numeral_Onumber(tc_nat),
    clsarity_nat_46,
    [final] ).

cnf(i_0_2658,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_58,
    [final] ).

cnf(i_0_2659,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_57,
    [final] ).

cnf(i_0_2660,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_56,
    [final] ).

cnf(i_0_2661,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    clsarity_nat_43,
    [final] ).

cnf(i_0_2662,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_55,
    [final] ).

cnf(i_0_2663,axiom,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
    clsarity_IntDef__Oint_54,
    [final] ).

cnf(i_0_2664,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_53,
    [final] ).

cnf(i_0_2665,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    clsarity_IntDef__Oint_52,
    [final] ).

cnf(i_0_2666,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    clsarity_IntDef__Oint_51,
    [final] ).

cnf(i_0_2667,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    clsarity_IntDef__Oint_50,
    [final] ).

cnf(i_0_2668,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    clsarity_IntDef__Oint_5,
    [final] ).

cnf(i_0_2669,axiom,
    class_Orderings_Oord(tc_nat),
    clsarity_nat_2,
    [final] ).

cnf(i_0_2670,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_49,
    [final] ).

cnf(i_0_2671,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    clsarity_IntDef__Oint_48,
    [final] ).

cnf(i_0_2672,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_47,
    [final] ).

cnf(i_0_2673,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    clsarity_IntDef__Oint_46,
    [final] ).

cnf(i_0_2674,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_45,
    [final] ).

cnf(i_0_2675,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    clsarity_nat_42,
    [final] ).

cnf(i_0_2676,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_44,
    [final] ).

cnf(i_0_2677,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    clsarity_nat_41,
    [final] ).

cnf(i_0_2678,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_43,
    [final] ).

cnf(i_0_2679,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    clsarity_nat_40,
    [final] ).

cnf(i_0_2680,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_42,
    [final] ).

cnf(i_0_2681,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    clsarity_nat_39,
    [final] ).

cnf(i_0_2682,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_41,
    [final] ).

cnf(i_0_2683,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    clsarity_nat_38,
    [final] ).

cnf(i_0_2684,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_40,
    [final] ).

cnf(i_0_2685,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    clsarity_nat_37,
    [final] ).

cnf(i_0_2686,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    clsarity_IntDef__Oint_4,
    [final] ).

cnf(i_0_2687,axiom,
    class_HOL_Ozero(tc_nat),
    clsarity_nat_1,
    [final] ).

cnf(i_0_2688,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_39,
    [final] ).

cnf(i_0_2689,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat_36,
    [final] ).

cnf(i_0_2690,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    clsarity_IntDef__Oint_38,
    [final] ).

cnf(i_0_2691,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    clsarity_nat_35,
    [final] ).

cnf(i_0_2692,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_37,
    [final] ).

cnf(i_0_2693,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat_34,
    [final] ).

cnf(i_0_2694,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_36,
    [final] ).

cnf(i_0_2695,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    clsarity_nat_33,
    [final] ).

cnf(i_0_2696,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_35,
    [final] ).

cnf(i_0_2697,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat_7,
    [final] ).

cnf(i_0_2698,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_34,
    [final] ).

cnf(i_0_2699,axiom,
    class_LOrder_Olorder(tc_nat),
    clsarity_nat_6,
    [final] ).

cnf(i_0_2700,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_33,
    [final] ).

cnf(i_0_2701,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    clsarity_nat_5,
    [final] ).

cnf(i_0_2702,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_32,
    [final] ).

cnf(i_0_2703,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    clsarity_nat_4,
    [final] ).

cnf(i_0_2704,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_30,
    [final] ).

cnf(i_0_2705,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    clsarity_IntDef__Oint_3,
    [final] ).

cnf(i_0_2706,axiom,
    class_HOL_Otimes(tc_nat),
    clsarity_nat_11,
    [final] ).

cnf(i_0_2707,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_29,
    [final] ).

cnf(i_0_2708,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    clsarity_nat_32,
    [final] ).

cnf(i_0_2709,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_28,
    [final] ).

cnf(i_0_2710,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_27,
    [final] ).

cnf(i_0_2711,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    clsarity_nat_30,
    [final] ).

cnf(i_0_2712,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_26,
    [final] ).

cnf(i_0_2713,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    clsarity_nat_26,
    [final] ).

cnf(i_0_2714,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_25,
    [final] ).

cnf(i_0_2715,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    clsarity_nat_25,
    [final] ).

cnf(i_0_2716,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_24,
    [final] ).

cnf(i_0_2717,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    clsarity_nat_24,
    [final] ).

cnf(i_0_2718,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_23,
    [final] ).

cnf(i_0_2719,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    clsarity_nat_23,
    [final] ).

cnf(i_0_2720,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_22,
    [final] ).

cnf(i_0_2721,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    clsarity_nat_13,
    [final] ).

cnf(i_0_2722,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_21,
    [final] ).

cnf(i_0_2723,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_20,
    [final] ).

cnf(i_0_2724,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    clsarity_nat_31,
    [final] ).

cnf(i_0_2725,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    clsarity_IntDef__Oint_2,
    [final] ).

cnf(i_0_2726,axiom,
    class_HOL_Oplus(tc_nat),
    clsarity_nat_10,
    [final] ).

cnf(i_0_2727,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_19,
    [final] ).

cnf(i_0_2728,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_18,
    [final] ).

cnf(i_0_2729,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    clsarity_nat_29,
    [final] ).

cnf(i_0_2730,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_17,
    [final] ).

cnf(i_0_2731,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_16,
    [final] ).

cnf(i_0_2732,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    clsarity_nat_28,
    [final] ).

cnf(i_0_2733,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_15,
    [final] ).

cnf(i_0_2734,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    clsarity_nat_27,
    [final] ).

cnf(i_0_2735,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    clsarity_IntDef__Oint_14,
    [final] ).

cnf(i_0_2736,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    clsarity_nat_22,
    [final] ).

cnf(i_0_2737,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    clsarity_IntDef__Oint_13,
    [final] ).

cnf(i_0_2738,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    clsarity_nat_21,
    [final] ).

cnf(i_0_2739,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_12,
    [final] ).

cnf(i_0_2740,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    clsarity_nat_20,
    [final] ).

cnf(i_0_2741,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_11,
    [final] ).

cnf(i_0_2742,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    clsarity_nat_19,
    [final] ).

cnf(i_0_2743,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_10,
    [final] ).

cnf(i_0_2744,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    clsarity_nat_18,
    [final] ).

cnf(i_0_2745,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    clsarity_IntDef__Oint_1,
    [final] ).

cnf(i_0_2746,axiom,
    class_HOL_Oone(tc_nat),
    clsarity_nat_0,
    [final] ).

cnf(i_0_2747,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    clsarity_IntDef__Oint_0,
    [final] ).

cnf(i_0_2748,axiom,
    class_HOL_Ominus(tc_nat),
    clsarity_nat_9,
    [final] ).

cnf(i_0_2749,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    clsarity_bool_0,
    [final] ).

cnf(i_0_2750,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    clsarity_Product____Type__Ounit_0,
    [final] ).

cnf(i_0_2751,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_31,
    [final] ).

cnf(i_0_2752,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat_3,
    [final] ).

cnf(i_0_2753,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    cls_Message_Oagent_Odistinct__4__iff1_0,
    [final] ).

cnf(i_0_2754,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    cls_Message_Oagent_Odistinct__3__iff1_0,
    [final] ).

cnf(i_0_2755,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    cls_Numeral_Obit_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_2756,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    cls_Numeral_Obit_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_2757,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    cls_Extraction_Osumbool_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_2758,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    cls_Extraction_Osumbool_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_2759,axiom,
    c_UNIV != c_emptyset,
    cls_Set_OUNIV__not__empty__iff1_0,
    [final] ).

cnf(i_0_2760,axiom,
    X1 = X1 ).

cnf(i_0_2761,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_2762,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_2763,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_2764,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_2765,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_2766,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_2767,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_2768,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_2769,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_2770,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X1,X3) = c_List_Ochar_OChar(X2,X3) ) ).

cnf(i_0_2771,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X3,X1) = c_List_Ochar_OChar(X3,X2) ) ).

cnf(i_0_2772,axiom,
    ( X1 != X2
    | c_Message_Omsg_OHash(X1) = c_Message_Omsg_OHash(X2) ) ).

cnf(i_0_2773,axiom,
    ( X1 != X2
    | c_Message_Omsg_OKey(X1) = c_Message_Omsg_OKey(X2) ) ).

cnf(i_0_2774,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).

cnf(i_0_2775,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONumber(X1) = c_Message_Omsg_ONumber(X2) ) ).

cnf(i_0_2776,axiom,
    ( X1 != X2
    | c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).

cnf(i_0_2777,axiom,
    ( X1 != X2
    | c_Message_Oagent_OFriend(X1) = c_Message_Oagent_OFriend(X2) ) ).

cnf(i_0_2778,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) = c_Datatype__Universe_OIn1(X2,X3,X4) ) ).

cnf(i_0_2779,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X1,X4) = c_Datatype__Universe_OIn1(X3,X2,X4) ) ).

cnf(i_0_2780,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X4,X1) = c_Datatype__Universe_OIn1(X3,X4,X2) ) ).

cnf(i_0_2781,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) = c_Datatype__Universe_OIn0(X2,X3,X4) ) ).

cnf(i_0_2782,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X1,X4) = c_Datatype__Universe_OIn0(X3,X2,X4) ) ).

cnf(i_0_2783,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X4,X1) = c_Datatype__Universe_OIn0(X3,X4,X2) ) ).

cnf(i_0_2784,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_2785,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_2786,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_2787,axiom,
    ( X1 != X2
    | c_insert(X1,X3,X4) = c_insert(X2,X3,X4) ) ).

cnf(i_0_2788,axiom,
    ( X1 != X2
    | c_insert(X3,X1,X4) = c_insert(X3,X2,X4) ) ).

cnf(i_0_2789,axiom,
    ( X1 != X2
    | c_insert(X3,X4,X1) = c_insert(X3,X4,X2) ) ).

cnf(i_0_2790,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X1,X3,X4) = c_Sum__Type_OInl(X2,X3,X4) ) ).

cnf(i_0_2791,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X1,X4) = c_Sum__Type_OInl(X3,X2,X4) ) ).

cnf(i_0_2792,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X4,X1) = c_Sum__Type_OInl(X3,X4,X2) ) ).

cnf(i_0_2793,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X1,X3,X4) = c_Sum__Type_OInr(X2,X3,X4) ) ).

cnf(i_0_2794,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X1,X4) = c_Sum__Type_OInr(X3,X2,X4) ) ).

cnf(i_0_2795,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X4,X1) = c_Sum__Type_OInr(X3,X4,X2) ) ).

cnf(i_0_2796,axiom,
    ( X1 != X2
    | c_append(X1,X3,X4) = c_append(X2,X3,X4) ) ).

cnf(i_0_2797,axiom,
    ( X1 != X2
    | c_append(X3,X1,X4) = c_append(X3,X2,X4) ) ).

cnf(i_0_2798,axiom,
    ( X1 != X2
    | c_append(X3,X4,X1) = c_append(X3,X4,X2) ) ).

cnf(i_0_2799,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4) ) ).

cnf(i_0_2800,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X1,X4) = c_Datatype__Universe_OAtom(X3,X2,X4) ) ).

cnf(i_0_2801,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X4,X1) = c_Datatype__Universe_OAtom(X3,X4,X2) ) ).

cnf(i_0_2802,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4) ) ).

cnf(i_0_2803,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X1,X4) = c_Datatype__Universe_ONumb(X3,X2,X4) ) ).

cnf(i_0_2804,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X4,X1) = c_Datatype__Universe_ONumb(X3,X4,X2) ) ).

cnf(i_0_2805,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4) ) ).

cnf(i_0_2806,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X1,X4) = c_Datatype__Universe_OLeaf(X3,X2,X4) ) ).

cnf(i_0_2807,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X4,X1) = c_Datatype__Universe_OLeaf(X3,X4,X2) ) ).

cnf(i_0_2808,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_2809,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_2810,axiom,
    ( X1 != X2
    | c_union(X1,X3,X4) = c_union(X2,X3,X4) ) ).

cnf(i_0_2811,axiom,
    ( X1 != X2
    | c_union(X3,X1,X4) = c_union(X3,X2,X4) ) ).

cnf(i_0_2812,axiom,
    ( X1 != X2
    | c_union(X3,X4,X1) = c_union(X3,X4,X2) ) ).

cnf(i_0_2813,axiom,
    ( X1 != X2
    | c_plus(X1,X3,X4) = c_plus(X2,X3,X4) ) ).

cnf(i_0_2814,axiom,
    ( X1 != X2
    | c_plus(X3,X1,X4) = c_plus(X3,X2,X4) ) ).

cnf(i_0_2815,axiom,
    ( X1 != X2
    | c_plus(X3,X4,X1) = c_plus(X3,X4,X2) ) ).

cnf(i_0_2816,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) = c_Datatype__Universe_OScons(X2,X3,X4,X5) ) ).

cnf(i_0_2817,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) = c_Datatype__Universe_OScons(X3,X2,X4,X5) ) ).

cnf(i_0_2818,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X1,X5) = c_Datatype__Universe_OScons(X3,X4,X2,X5) ) ).

cnf(i_0_2819,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X5,X1) = c_Datatype__Universe_OScons(X3,X4,X5,X2) ) ).

cnf(i_0_2820,axiom,
    ( X1 != X2
    | c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).

cnf(i_0_2821,axiom,
    ( X1 != X2
    | c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).

cnf(i_0_2822,axiom,
    ( X1 != X2
    | c_uminus(X1,X3) = c_uminus(X2,X3) ) ).

cnf(i_0_2823,axiom,
    ( X1 != X2
    | c_uminus(X3,X1) = c_uminus(X3,X2) ) ).

cnf(i_0_2824,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X1,X3) = c_SetInterval_OlessThan(X2,X3) ) ).

cnf(i_0_2825,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X3,X1) = c_SetInterval_OlessThan(X3,X2) ) ).

cnf(i_0_2826,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X1,X3) = c_SetInterval_OatMost(X2,X3) ) ).

cnf(i_0_2827,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X3,X1) = c_SetInterval_OatMost(X3,X2) ) ).

cnf(i_0_2828,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X1,X3) = c_SetInterval_OgreaterThan(X2,X3) ) ).

cnf(i_0_2829,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X3,X1) = c_SetInterval_OgreaterThan(X3,X2) ) ).

cnf(i_0_2830,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X1,X3) = c_SetInterval_OatLeast(X2,X3) ) ).

cnf(i_0_2831,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X3,X1) = c_SetInterval_OatLeast(X3,X2) ) ).

cnf(i_0_2832,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).

cnf(i_0_2833,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).

cnf(i_0_2834,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).

cnf(i_0_2835,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).

cnf(i_0_2836,axiom,
    ( X1 != X2
    | c_Nat_Osize(X1,X3) = c_Nat_Osize(X2,X3) ) ).

cnf(i_0_2837,axiom,
    ( X1 != X2
    | c_Nat_Osize(X3,X1) = c_Nat_Osize(X3,X2) ) ).

cnf(i_0_2838,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_2839,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_2840,axiom,
    ( X1 != X2
    | c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).

cnf(i_0_2841,axiom,
    ( X1 != X2
    | c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).

cnf(i_0_2842,axiom,
    ( X1 != X2
    | c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).

cnf(i_0_2843,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X1,X3,X4) = c_Divides_Oop_Amod(X2,X3,X4) ) ).

cnf(i_0_2844,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X1,X4) = c_Divides_Oop_Amod(X3,X2,X4) ) ).

cnf(i_0_2845,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X4,X1) = c_Divides_Oop_Amod(X3,X4,X2) ) ).

cnf(i_0_2846,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_2847,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X1,X3) = c_Datatype_Ooption_OSome(X2,X3) ) ).

cnf(i_0_2848,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X3,X1) = c_Datatype_Ooption_OSome(X3,X2) ) ).

cnf(i_0_2849,axiom,
    ( X1 != X2
    | c_IntDef_Oint(X1) = c_IntDef_Oint(X2) ) ).

cnf(i_0_2850,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_2851,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_2852,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_2853,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X1,X3)
    | c_Infinite__Set_Oatmost__one(X2,X3) ) ).

cnf(i_0_2854,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X1)
    | c_Infinite__Set_Oatmost__one(X3,X2) ) ).

cnf(i_0_2855,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_2856,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(X2) ) ).

cnf(i_0_2857,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_2858,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_2859,axiom,
    ( X1 != X2
    | ~ class_Nat_Opower(X1)
    | class_Nat_Opower(X2) ) ).

cnf(i_0_2860,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_2861,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_2862,axiom,
    ( X1 != X2
    | ~ class_HOL_Oinverse(X1)
    | class_HOL_Oinverse(X2) ) ).

cnf(i_0_2863,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_2864,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_2865,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X3)
    | c_Wellfounded__Recursion_Oacyclic(X2,X3) ) ).

cnf(i_0_2866,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X3,X1)
    | c_Wellfounded__Recursion_Oacyclic(X3,X2) ) ).

cnf(i_0_2867,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__ring(X2) ) ).

cnf(i_0_2868,axiom,
    ( X1 != X2
    | ~ class_Power_Orecpower(X1)
    | class_Power_Orecpower(X2) ) ).

cnf(i_0_2869,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber__ring(X2) ) ).

cnf(i_0_2870,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_2871,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_2872,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_2873,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_2874,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X2) ) ).

cnf(i_0_2875,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X2) ) ).

cnf(i_0_2876,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X2) ) ).

cnf(i_0_2877,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(X2,X3) ) ).

cnf(i_0_2878,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X3,X1)
    | c_Wellfounded__Recursion_Owf(X3,X2) ) ).

cnf(i_0_2879,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ) ).

cnf(i_0_2880,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_2881,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_2882,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X2) ) ).

cnf(i_0_2883,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X2) ) ).

cnf(i_0_2884,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X2) ) ).

cnf(i_0_2885,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_2886,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X2) ) ).

cnf(i_0_2887,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_2888,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Olordered__ring(X2) ) ).

cnf(i_0_2889,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X1,X3,X4)
    | c_Divides_Oop_Advd(X2,X3,X4) ) ).

cnf(i_0_2890,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X1,X4)
    | c_Divides_Oop_Advd(X3,X2,X4) ) ).

cnf(i_0_2891,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X4,X1)
    | c_Divides_Oop_Advd(X3,X4,X2) ) ).

cnf(i_0_2892,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_2893,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_2894,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_2895,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_2896,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_2897,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X2) ) ).

cnf(i_0_2898,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_2899,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_2900,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_2901,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X2) ) ).

cnf(i_0_2902,axiom,
    ( X1 != X2
    | ~ c_less(X1,X3,X4)
    | c_less(X2,X3,X4) ) ).

cnf(i_0_2903,axiom,
    ( X1 != X2
    | ~ c_less(X3,X1,X4)
    | c_less(X3,X2,X4) ) ).

cnf(i_0_2904,axiom,
    ( X1 != X2
    | ~ c_less(X3,X4,X1)
    | c_less(X3,X4,X2) ) ).

cnf(i_0_2905,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_2906,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_2907,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_2908,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X2) ) ).

cnf(i_0_2909,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X2) ) ).

cnf(i_0_2910,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).

cnf(i_0_2911,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Olordered__ab__group(X2) ) ).

cnf(i_0_2912,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_2913,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2914,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_2915,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_2916,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_2917,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2918,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_2919,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_2920,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2921,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_2922,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X2) ) ).

cnf(i_0_2923,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_2924,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber(X1)
    | class_Numeral_Onumber(X2) ) ).

cnf(i_0_2925,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X2) ) ).

cnf(i_0_2926,axiom,
    ( X1 != X2
    | ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Wellfounded__Recursion_Owellorder(X2) ) ).

cnf(i_0_2927,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_2928,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_2929,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_2930,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X2) ) ).

cnf(i_0_2931,axiom,
    ( X1 != X2
    | ~ class_LOrder_Olorder(X1)
    | class_LOrder_Olorder(X2) ) ).

cnf(i_0_2932,axiom,
    ( X1 != X2
    | ~ class_LOrder_Ojoin__semilorder(X1)
    | class_LOrder_Ojoin__semilorder(X2) ) ).

cnf(i_0_2933,axiom,
    ( X1 != X2
    | ~ class_LOrder_Omeet__semilorder(X1)
    | class_LOrder_Omeet__semilorder(X2) ) ).

cnf(i_0_2934,axiom,
    ( X1 != X2
    | ~ class_HOL_Ozero(X1)
    | class_HOL_Ozero(X2) ) ).

cnf(i_0_2935,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X2) ) ).

cnf(i_0_2936,axiom,
    ( X1 != X2
    | ~ class_HOL_Otimes(X1)
    | class_HOL_Otimes(X2) ) ).

cnf(i_0_2937,axiom,
    ( X1 != X2
    | ~ class_HOL_Oplus(X1)
    | class_HOL_Oplus(X2) ) ).

cnf(i_0_2938,axiom,
    ( X1 != X2
    | ~ class_HOL_Oone(X1)
    | class_HOL_Oone(X2) ) ).

cnf(i_0_2939,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_2940,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_2941,axiom,
    ( X1 != X2
    | ~ class_Parity_Oeven__odd(X1)
    | class_Parity_Oeven__odd(X2) ) ).

cnf(i_0_2942,axiom,
    ( X1 != X2
    | ~ class_Divides_Odiv(X1)
    | class_Divides_Odiv(X2) ) ).

cnf(i_0_2943,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_2760_001,axiom,
    X1 = X1 ).

cnf(i_0_2761_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_2762_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_2763_004,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_2764_005,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_2765_006,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_2766_007,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_2767_008,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_2768_009,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_2769_010,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_2770_011,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X1,X3) = c_List_Ochar_OChar(X2,X3) ) ).

cnf(i_0_2771_012,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X3,X1) = c_List_Ochar_OChar(X3,X2) ) ).

cnf(i_0_2772_013,axiom,
    ( X1 != X2
    | c_Message_Omsg_OHash(X1) = c_Message_Omsg_OHash(X2) ) ).

cnf(i_0_2773_014,axiom,
    ( X1 != X2
    | c_Message_Omsg_OKey(X1) = c_Message_Omsg_OKey(X2) ) ).

cnf(i_0_2774_015,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).

cnf(i_0_2775_016,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONumber(X1) = c_Message_Omsg_ONumber(X2) ) ).

cnf(i_0_2776_017,axiom,
    ( X1 != X2
    | c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).

cnf(i_0_2777_018,axiom,
    ( X1 != X2
    | c_Message_Oagent_OFriend(X1) = c_Message_Oagent_OFriend(X2) ) ).

cnf(i_0_2778_019,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) = c_Datatype__Universe_OIn1(X2,X3,X4) ) ).

cnf(i_0_2779_020,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X1,X4) = c_Datatype__Universe_OIn1(X3,X2,X4) ) ).

cnf(i_0_2780_021,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X4,X1) = c_Datatype__Universe_OIn1(X3,X4,X2) ) ).

cnf(i_0_2781_022,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) = c_Datatype__Universe_OIn0(X2,X3,X4) ) ).

cnf(i_0_2782_023,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X1,X4) = c_Datatype__Universe_OIn0(X3,X2,X4) ) ).

cnf(i_0_2783_024,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X4,X1) = c_Datatype__Universe_OIn0(X3,X4,X2) ) ).

cnf(i_0_2784_025,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_2785_026,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_2786_027,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_2787_028,axiom,
    ( X1 != X2
    | c_insert(X1,X3,X4) = c_insert(X2,X3,X4) ) ).

cnf(i_0_2788_029,axiom,
    ( X1 != X2
    | c_insert(X3,X1,X4) = c_insert(X3,X2,X4) ) ).

cnf(i_0_2789_030,axiom,
    ( X1 != X2
    | c_insert(X3,X4,X1) = c_insert(X3,X4,X2) ) ).

cnf(i_0_2790_031,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X1,X3,X4) = c_Sum__Type_OInl(X2,X3,X4) ) ).

cnf(i_0_2791_032,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X1,X4) = c_Sum__Type_OInl(X3,X2,X4) ) ).

cnf(i_0_2792_033,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X4,X1) = c_Sum__Type_OInl(X3,X4,X2) ) ).

cnf(i_0_2793_034,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X1,X3,X4) = c_Sum__Type_OInr(X2,X3,X4) ) ).

cnf(i_0_2794_035,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X1,X4) = c_Sum__Type_OInr(X3,X2,X4) ) ).

cnf(i_0_2795_036,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X4,X1) = c_Sum__Type_OInr(X3,X4,X2) ) ).

cnf(i_0_2796_037,axiom,
    ( X1 != X2
    | c_append(X1,X3,X4) = c_append(X2,X3,X4) ) ).

cnf(i_0_2797_038,axiom,
    ( X1 != X2
    | c_append(X3,X1,X4) = c_append(X3,X2,X4) ) ).

cnf(i_0_2798_039,axiom,
    ( X1 != X2
    | c_append(X3,X4,X1) = c_append(X3,X4,X2) ) ).

cnf(i_0_2799_040,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4) ) ).

cnf(i_0_2800_041,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X1,X4) = c_Datatype__Universe_OAtom(X3,X2,X4) ) ).

cnf(i_0_2801_042,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X4,X1) = c_Datatype__Universe_OAtom(X3,X4,X2) ) ).

cnf(i_0_2802_043,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4) ) ).

cnf(i_0_2803_044,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X1,X4) = c_Datatype__Universe_ONumb(X3,X2,X4) ) ).

cnf(i_0_2804_045,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X4,X1) = c_Datatype__Universe_ONumb(X3,X4,X2) ) ).

cnf(i_0_2805_046,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4) ) ).

cnf(i_0_2806_047,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X1,X4) = c_Datatype__Universe_OLeaf(X3,X2,X4) ) ).

cnf(i_0_2807_048,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X4,X1) = c_Datatype__Universe_OLeaf(X3,X4,X2) ) ).

cnf(i_0_2808_049,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_2809_050,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_2810_051,axiom,
    ( X1 != X2
    | c_union(X1,X3,X4) = c_union(X2,X3,X4) ) ).

cnf(i_0_2811_052,axiom,
    ( X1 != X2
    | c_union(X3,X1,X4) = c_union(X3,X2,X4) ) ).

cnf(i_0_2812_053,axiom,
    ( X1 != X2
    | c_union(X3,X4,X1) = c_union(X3,X4,X2) ) ).

cnf(i_0_2813_054,axiom,
    ( X1 != X2
    | c_plus(X1,X3,X4) = c_plus(X2,X3,X4) ) ).

cnf(i_0_2814_055,axiom,
    ( X1 != X2
    | c_plus(X3,X1,X4) = c_plus(X3,X2,X4) ) ).

cnf(i_0_2815_056,axiom,
    ( X1 != X2
    | c_plus(X3,X4,X1) = c_plus(X3,X4,X2) ) ).

cnf(i_0_2816_057,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) = c_Datatype__Universe_OScons(X2,X3,X4,X5) ) ).

cnf(i_0_2817_058,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) = c_Datatype__Universe_OScons(X3,X2,X4,X5) ) ).

cnf(i_0_2818_059,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X1,X5) = c_Datatype__Universe_OScons(X3,X4,X2,X5) ) ).

cnf(i_0_2819_060,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X5,X1) = c_Datatype__Universe_OScons(X3,X4,X5,X2) ) ).

cnf(i_0_2820_061,axiom,
    ( X1 != X2
    | c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).

cnf(i_0_2821_062,axiom,
    ( X1 != X2
    | c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).

cnf(i_0_2822_063,axiom,
    ( X1 != X2
    | c_uminus(X1,X3) = c_uminus(X2,X3) ) ).

cnf(i_0_2823_064,axiom,
    ( X1 != X2
    | c_uminus(X3,X1) = c_uminus(X3,X2) ) ).

cnf(i_0_2824_065,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X1,X3) = c_SetInterval_OlessThan(X2,X3) ) ).

cnf(i_0_2825_066,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X3,X1) = c_SetInterval_OlessThan(X3,X2) ) ).

cnf(i_0_2826_067,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X1,X3) = c_SetInterval_OatMost(X2,X3) ) ).

cnf(i_0_2827_068,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X3,X1) = c_SetInterval_OatMost(X3,X2) ) ).

cnf(i_0_2828_069,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X1,X3) = c_SetInterval_OgreaterThan(X2,X3) ) ).

cnf(i_0_2829_070,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X3,X1) = c_SetInterval_OgreaterThan(X3,X2) ) ).

cnf(i_0_2830_071,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X1,X3) = c_SetInterval_OatLeast(X2,X3) ) ).

cnf(i_0_2831_072,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X3,X1) = c_SetInterval_OatLeast(X3,X2) ) ).

cnf(i_0_2832_073,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).

cnf(i_0_2833_074,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).

cnf(i_0_2834_075,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).

cnf(i_0_2835_076,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).

cnf(i_0_2836_077,axiom,
    ( X1 != X2
    | c_Nat_Osize(X1,X3) = c_Nat_Osize(X2,X3) ) ).

cnf(i_0_2837_078,axiom,
    ( X1 != X2
    | c_Nat_Osize(X3,X1) = c_Nat_Osize(X3,X2) ) ).

cnf(i_0_2838_079,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_2839_080,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_2840_081,axiom,
    ( X1 != X2
    | c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).

cnf(i_0_2841_082,axiom,
    ( X1 != X2
    | c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).

cnf(i_0_2842_083,axiom,
    ( X1 != X2
    | c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).

cnf(i_0_2843_084,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X1,X3,X4) = c_Divides_Oop_Amod(X2,X3,X4) ) ).

cnf(i_0_2844_085,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X1,X4) = c_Divides_Oop_Amod(X3,X2,X4) ) ).

cnf(i_0_2845_086,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X4,X1) = c_Divides_Oop_Amod(X3,X4,X2) ) ).

cnf(i_0_2846_087,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_2847_088,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X1,X3) = c_Datatype_Ooption_OSome(X2,X3) ) ).

cnf(i_0_2848_089,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X3,X1) = c_Datatype_Ooption_OSome(X3,X2) ) ).

cnf(i_0_2849_090,axiom,
    ( X1 != X2
    | c_IntDef_Oint(X1) = c_IntDef_Oint(X2) ) ).

cnf(i_0_2850_091,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_2851_092,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_2852_093,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_2853_094,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X1,X3)
    | c_Infinite__Set_Oatmost__one(X2,X3) ) ).

cnf(i_0_2854_095,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X1)
    | c_Infinite__Set_Oatmost__one(X3,X2) ) ).

cnf(i_0_2855_096,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_2856_097,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(X2) ) ).

cnf(i_0_2857_098,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_2858_099,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_2859_100,axiom,
    ( X1 != X2
    | ~ class_Nat_Opower(X1)
    | class_Nat_Opower(X2) ) ).

cnf(i_0_2860_101,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_2861_102,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_2862_103,axiom,
    ( X1 != X2
    | ~ class_HOL_Oinverse(X1)
    | class_HOL_Oinverse(X2) ) ).

cnf(i_0_2863_104,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_2864_105,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_2865_106,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X3)
    | c_Wellfounded__Recursion_Oacyclic(X2,X3) ) ).

cnf(i_0_2866_107,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X3,X1)
    | c_Wellfounded__Recursion_Oacyclic(X3,X2) ) ).

cnf(i_0_2867_108,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__ring(X2) ) ).

cnf(i_0_2868_109,axiom,
    ( X1 != X2
    | ~ class_Power_Orecpower(X1)
    | class_Power_Orecpower(X2) ) ).

cnf(i_0_2869_110,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber__ring(X2) ) ).

cnf(i_0_2870_111,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_2871_112,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_2872_113,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_2873_114,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_2874_115,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X2) ) ).

cnf(i_0_2875_116,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X2) ) ).

cnf(i_0_2876_117,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X2) ) ).

cnf(i_0_2877_118,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(X2,X3) ) ).

cnf(i_0_2878_119,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X3,X1)
    | c_Wellfounded__Recursion_Owf(X3,X2) ) ).

cnf(i_0_2879_120,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ) ).

cnf(i_0_2880_121,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_2881_122,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_2882_123,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X2) ) ).

cnf(i_0_2883_124,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X2) ) ).

cnf(i_0_2884_125,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X2) ) ).

cnf(i_0_2885_126,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_2886_127,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X2) ) ).

cnf(i_0_2887_128,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_2888_129,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Olordered__ring(X2) ) ).

cnf(i_0_2889_130,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X1,X3,X4)
    | c_Divides_Oop_Advd(X2,X3,X4) ) ).

cnf(i_0_2890_131,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X1,X4)
    | c_Divides_Oop_Advd(X3,X2,X4) ) ).

cnf(i_0_2891_132,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X4,X1)
    | c_Divides_Oop_Advd(X3,X4,X2) ) ).

cnf(i_0_2892_133,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_2893_134,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_2894_135,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_2895_136,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_2896_137,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_2897_138,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X2) ) ).

cnf(i_0_2898_139,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_2899_140,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_2900_141,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_2901_142,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X2) ) ).

cnf(i_0_2902_143,axiom,
    ( X1 != X2
    | ~ c_less(X1,X3,X4)
    | c_less(X2,X3,X4) ) ).

cnf(i_0_2903_144,axiom,
    ( X1 != X2
    | ~ c_less(X3,X1,X4)
    | c_less(X3,X2,X4) ) ).

cnf(i_0_2904_145,axiom,
    ( X1 != X2
    | ~ c_less(X3,X4,X1)
    | c_less(X3,X4,X2) ) ).

cnf(i_0_2905_146,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_2906_147,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_2907_148,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_2908_149,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X2) ) ).

cnf(i_0_2909_150,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X2) ) ).

cnf(i_0_2910_151,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).

cnf(i_0_2911_152,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Olordered__ab__group(X2) ) ).

cnf(i_0_2912_153,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_2913_154,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2914_155,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_2915_156,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_2916_157,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_2917_158,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2918_159,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_2919_160,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_2920_161,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2921_162,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_2922_163,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X2) ) ).

cnf(i_0_2923_164,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_2924_165,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber(X1)
    | class_Numeral_Onumber(X2) ) ).

cnf(i_0_2925_166,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X2) ) ).

cnf(i_0_2926_167,axiom,
    ( X1 != X2
    | ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Wellfounded__Recursion_Owellorder(X2) ) ).

cnf(i_0_2927_168,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_2928_169,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_2929_170,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_2930_171,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X2) ) ).

cnf(i_0_2931_172,axiom,
    ( X1 != X2
    | ~ class_LOrder_Olorder(X1)
    | class_LOrder_Olorder(X2) ) ).

cnf(i_0_2932_173,axiom,
    ( X1 != X2
    | ~ class_LOrder_Ojoin__semilorder(X1)
    | class_LOrder_Ojoin__semilorder(X2) ) ).

cnf(i_0_2933_174,axiom,
    ( X1 != X2
    | ~ class_LOrder_Omeet__semilorder(X1)
    | class_LOrder_Omeet__semilorder(X2) ) ).

cnf(i_0_2934_175,axiom,
    ( X1 != X2
    | ~ class_HOL_Ozero(X1)
    | class_HOL_Ozero(X2) ) ).

cnf(i_0_2935_176,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X2) ) ).

cnf(i_0_2936_177,axiom,
    ( X1 != X2
    | ~ class_HOL_Otimes(X1)
    | class_HOL_Otimes(X2) ) ).

cnf(i_0_2937_178,axiom,
    ( X1 != X2
    | ~ class_HOL_Oplus(X1)
    | class_HOL_Oplus(X2) ) ).

cnf(i_0_2938_179,axiom,
    ( X1 != X2
    | ~ class_HOL_Oone(X1)
    | class_HOL_Oone(X2) ) ).

cnf(i_0_2939_180,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_2940_181,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_2941_182,axiom,
    ( X1 != X2
    | ~ class_Parity_Oeven__odd(X1)
    | class_Parity_Oeven__odd(X2) ) ).

cnf(i_0_2942_183,axiom,
    ( X1 != X2
    | ~ class_Divides_Odiv(X1)
    | class_Divides_Odiv(X2) ) ).

cnf(i_0_2943_184,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_2944,plain,
    X1 = X1,
    inference(equality_inference,[],[1447]) ).

cnf(i_0_2945,plain,
    X1 = X1,
    inference(equality_inference,[],[1448]) ).

cnf(i_0_2946,plain,
    X1 = X1,
    inference(equality_inference,[],[1449]) ).

cnf(i_0_2947,plain,
    X1 = X1,
    inference(equality_inference,[],[1450]) ).

cnf(i_0_2948,plain,
    X1 = X1,
    inference(equality_inference,[],[1461]) ).

cnf(i_0_2949,plain,
    X1 = X1,
    inference(equality_inference,[],[1462]) ).

cnf(i_0_2950,plain,
    c_lessequals(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(equality_inference,[],[1488]) ).

cnf(i_0_2951,plain,
    c_lessequals(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(equality_inference,[],[1489]) ).

cnf(i_0_2952,plain,
    X1 = X1,
    inference(equality_inference,[],[1554]) ).

cnf(i_0_2953,plain,
    X1 = X1,
    inference(equality_inference,[],[1555]) ).

cnf(i_0_2954,plain,
    X1 = X1,
    inference(equality_inference,[],[1556]) ).

cnf(i_0_2955,plain,
    X1 = X1,
    inference(equality_inference,[],[1557]) ).

cnf(i_0_2956,plain,
    X1 = X1,
    inference(equality_inference,[],[1558]) ).

cnf(i_0_2957,plain,
    X1 = X1,
    inference(equality_inference,[],[1559]) ).

cnf(i_0_2958,plain,
    X1 = X1,
    inference(equality_inference,[],[1560]) ).

cnf(i_0_2959,plain,
    X1 = X1,
    inference(equality_inference,[],[1561]) ).

cnf(i_0_2960,plain,
    X1 = X1,
    inference(equality_inference,[],[1562]) ).

cnf(i_0_2961,plain,
    X1 = X1,
    inference(equality_inference,[],[1563]) ).

cnf(i_0_2962,plain,
    X1 = X1,
    inference(equality_inference,[],[1564]) ).

cnf(i_0_2963,plain,
    X1 = X1,
    inference(equality_inference,[],[1573]) ).

cnf(i_0_2964,plain,
    X1 = X1,
    inference(equality_inference,[],[1574]) ).

cnf(i_0_2965,plain,
    X1 = X1,
    inference(equality_inference,[],[1647]) ).

cnf(i_0_2966,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1661]) ).

cnf(i_0_2967,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1662]) ).

cnf(i_0_2968,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1663]) ).

cnf(i_0_2969,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1664]) ).

cnf(i_0_2970,plain,
    X1 = X1,
    inference(equality_inference,[],[1681]) ).

cnf(i_0_2971,plain,
    X1 = X1,
    inference(equality_inference,[],[1682]) ).

cnf(i_0_2972,plain,
    X1 = X1,
    inference(equality_inference,[],[1683]) ).

cnf(i_0_2973,plain,
    X1 = X1,
    inference(equality_inference,[],[1684]) ).

cnf(i_0_2974,plain,
    X1 = X1,
    inference(equality_inference,[],[1685]) ).

cnf(i_0_2975,plain,
    X1 = X1,
    inference(equality_inference,[],[1686]) ).

cnf(i_0_2976,plain,
    X1 = X1,
    inference(equality_inference,[],[1687]) ).

cnf(i_0_2977,plain,
    X1 = X1,
    inference(equality_inference,[],[1688]) ).

cnf(i_0_2978,plain,
    X1 = X1,
    inference(equality_inference,[],[1706]) ).

cnf(i_0_2979,plain,
    X1 = X1,
    inference(equality_inference,[],[1707]) ).

cnf(i_0_2980,plain,
    X1 = X1,
    inference(equality_inference,[],[1708]) ).

cnf(i_0_2981,plain,
    X1 = X1,
    inference(equality_inference,[],[1709]) ).

cnf(i_0_2982,plain,
    X1 = X1,
    inference(equality_inference,[],[1710]) ).

cnf(i_0_2983,plain,
    X1 = X1,
    inference(equality_inference,[],[1711]) ).

cnf(i_0_2984,plain,
    X1 = X1,
    inference(equality_inference,[],[1712]) ).

cnf(i_0_2985,plain,
    X1 = X1,
    inference(equality_inference,[],[1713]) ).

cnf(i_0_2986,plain,
    $false,
    inference(scs_inference,[],[i_0_1625,i_0_1643,i_0_1539]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV264-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n018.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 05:00:17 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 0.78/1.67  % Version  : CSE_E---1.7
% 0.78/1.67  % Problem  : theBenchmark.p
% 0.78/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 0.78/1.67  % SZS output start CNFRefutation
% See solution above
% 0.83/1.77  % Total time : 1.328s
%------------------------------------------------------------------------------